# 0 "CMakeCUDACompilerId.cu"
# 0 "<built-in>"
# 0 "<command-line>"
# 1 "/usr/include/stdc-predef.h" 1 3 4
# 0 "<command-line>" 2
# 1 "/usr/include/cuda_runtime.h" 1 3 4
# 61 "/usr/include/cuda_runtime.h" 3 4
#pragma GCC diagnostic push


#pragma GCC diagnostic ignored "-Wunused-function"
# 83 "/usr/include/cuda_runtime.h" 3 4
# 1 "/usr/include/crt/host_config.h" 1 3 4
# 208 "/usr/include/crt/host_config.h" 3 4
# 1 "/usr/include/features.h" 1 3 4
# 392 "/usr/include/features.h" 3 4
# 1 "/usr/include/features-time64.h" 1 3 4
# 20 "/usr/include/features-time64.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 21 "/usr/include/features-time64.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 2 3 4
# 22 "/usr/include/features-time64.h" 2 3 4
# 393 "/usr/include/features.h" 2 3 4
# 486 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 1 3 4
# 559 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 560 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 561 "/usr/include/x86_64-linux-gnu/sys/cdefs.h" 2 3 4
# 487 "/usr/include/features.h" 2 3 4
# 510 "/usr/include/features.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 1 3 4
# 10 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/gnu/stubs-64.h" 1 3 4
# 11 "/usr/include/x86_64-linux-gnu/gnu/stubs.h" 2 3 4
# 511 "/usr/include/features.h" 2 3 4
# 209 "/usr/include/crt/host_config.h" 2 3 4
# 84 "/usr/include/cuda_runtime.h" 2 3 4







# 1 "/usr/include/builtin_types.h" 1 3 4
# 56 "/usr/include/builtin_types.h" 3 4
# 1 "/usr/include/device_types.h" 1 3 4
# 59 "/usr/include/device_types.h" 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 60 "/usr/include/device_types.h" 2 3 4
# 68 "/usr/include/device_types.h" 3 4

# 68 "/usr/include/device_types.h" 3 4
enum __attribute__((device_builtin)) cudaRoundMode
{
    cudaRoundNearest,
    cudaRoundZero,
    cudaRoundPosInf,
    cudaRoundMinInf
};
# 57 "/usr/include/builtin_types.h" 2 3 4


# 1 "/usr/include/driver_types.h" 1 3 4
# 59 "/usr/include/driver_types.h" 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 60 "/usr/include/driver_types.h" 2 3 4

# 1 "/usr/include/vector_types.h" 1 3 4
# 65 "/usr/include/vector_types.h" 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 66 "/usr/include/vector_types.h" 2 3 4
# 100 "/usr/include/vector_types.h" 3 4
struct __attribute__((device_builtin)) char1
{
    signed char x;
};

struct __attribute__((device_builtin)) uchar1
{
    unsigned char x;
};


struct __attribute__((device_builtin)) __attribute__((aligned(2))) char2
{
    signed char x, y;
};

struct __attribute__((device_builtin)) __attribute__((aligned(2))) uchar2
{
    unsigned char x, y;
};

struct __attribute__((device_builtin)) char3
{
    signed char x, y, z;
};

struct __attribute__((device_builtin)) uchar3
{
    unsigned char x, y, z;
};

struct __attribute__((device_builtin)) __attribute__((aligned(4))) char4
{
    signed char x, y, z, w;
};

struct __attribute__((device_builtin)) __attribute__((aligned(4))) uchar4
{
    unsigned char x, y, z, w;
};

struct __attribute__((device_builtin)) short1
{
    short x;
};

struct __attribute__((device_builtin)) ushort1
{
    unsigned short x;
};

struct __attribute__((device_builtin)) __attribute__((aligned(4))) short2
{
    short x, y;
};

struct __attribute__((device_builtin)) __attribute__((aligned(4))) ushort2
{
    unsigned short x, y;
};

struct __attribute__((device_builtin)) short3
{
    short x, y, z;
};

struct __attribute__((device_builtin)) ushort3
{
    unsigned short x, y, z;
};

struct __attribute__((device_builtin)) __attribute__((aligned(8))) short4 { short x; short y; short z; short w; };
struct __attribute__((device_builtin)) __attribute__((aligned(8))) ushort4 { unsigned short x; unsigned short y; unsigned short z; unsigned short w; };

struct __attribute__((device_builtin)) int1
{
    int x;
};

struct __attribute__((device_builtin)) uint1
{
    unsigned int x;
};

struct __attribute__((device_builtin)) __attribute__((aligned(8))) int2 { int x; int y; };
struct __attribute__((device_builtin)) __attribute__((aligned(8))) uint2 { unsigned int x; unsigned int y; };

struct __attribute__((device_builtin)) int3
{
    int x, y, z;
};

struct __attribute__((device_builtin)) uint3
{
    unsigned int x, y, z;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) int4
{
    int x, y, z, w;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) uint4
{
    unsigned int x, y, z, w;
};

struct __attribute__((device_builtin)) long1
{
    long int x;
};

struct __attribute__((device_builtin)) ulong1
{
    unsigned long x;
};






struct __attribute__((device_builtin)) __attribute__((aligned(2*sizeof(long int)))) long2
{
    long int x, y;
};

struct __attribute__((device_builtin)) __attribute__((aligned(2*sizeof(unsigned long int)))) ulong2
{
    unsigned long int x, y;
};



struct __attribute__((device_builtin)) long3
{
    long int x, y, z;
};

struct __attribute__((device_builtin)) ulong3
{
    unsigned long int x, y, z;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) long4
{
    long int x, y, z, w;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) ulong4
{
    unsigned long int x, y, z, w;
};

struct __attribute__((device_builtin)) float1
{
    float x;
};
# 276 "/usr/include/vector_types.h" 3 4
struct __attribute__((device_builtin)) __attribute__((aligned(8))) float2 { float x; float y; };




struct __attribute__((device_builtin)) float3
{
    float x, y, z;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) float4
{
    float x, y, z, w;
};

struct __attribute__((device_builtin)) longlong1
{
    long long int x;
};

struct __attribute__((device_builtin)) ulonglong1
{
    unsigned long long int x;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) longlong2
{
    long long int x, y;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) ulonglong2
{
    unsigned long long int x, y;
};

struct __attribute__((device_builtin)) longlong3
{
    long long int x, y, z;
};

struct __attribute__((device_builtin)) ulonglong3
{
    unsigned long long int x, y, z;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) longlong4
{
    long long int x, y, z ,w;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) ulonglong4
{
    unsigned long long int x, y, z, w;
};

struct __attribute__((device_builtin)) double1
{
    double x;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) double2
{
    double x, y;
};

struct __attribute__((device_builtin)) double3
{
    double x, y, z;
};

struct __attribute__((device_builtin)) __attribute__((aligned(16))) double4
{
    double x, y, z, w;
};
# 363 "/usr/include/vector_types.h" 3 4
typedef __attribute__((device_builtin)) struct char1 char1;
typedef __attribute__((device_builtin)) struct uchar1 uchar1;
typedef __attribute__((device_builtin)) struct char2 char2;
typedef __attribute__((device_builtin)) struct uchar2 uchar2;
typedef __attribute__((device_builtin)) struct char3 char3;
typedef __attribute__((device_builtin)) struct uchar3 uchar3;
typedef __attribute__((device_builtin)) struct char4 char4;
typedef __attribute__((device_builtin)) struct uchar4 uchar4;
typedef __attribute__((device_builtin)) struct short1 short1;
typedef __attribute__((device_builtin)) struct ushort1 ushort1;
typedef __attribute__((device_builtin)) struct short2 short2;
typedef __attribute__((device_builtin)) struct ushort2 ushort2;
typedef __attribute__((device_builtin)) struct short3 short3;
typedef __attribute__((device_builtin)) struct ushort3 ushort3;
typedef __attribute__((device_builtin)) struct short4 short4;
typedef __attribute__((device_builtin)) struct ushort4 ushort4;
typedef __attribute__((device_builtin)) struct int1 int1;
typedef __attribute__((device_builtin)) struct uint1 uint1;
typedef __attribute__((device_builtin)) struct int2 int2;
typedef __attribute__((device_builtin)) struct uint2 uint2;
typedef __attribute__((device_builtin)) struct int3 int3;
typedef __attribute__((device_builtin)) struct uint3 uint3;
typedef __attribute__((device_builtin)) struct int4 int4;
typedef __attribute__((device_builtin)) struct uint4 uint4;
typedef __attribute__((device_builtin)) struct long1 long1;
typedef __attribute__((device_builtin)) struct ulong1 ulong1;
typedef __attribute__((device_builtin)) struct long2 long2;
typedef __attribute__((device_builtin)) struct ulong2 ulong2;
typedef __attribute__((device_builtin)) struct long3 long3;
typedef __attribute__((device_builtin)) struct ulong3 ulong3;
typedef __attribute__((device_builtin)) struct long4 long4;
typedef __attribute__((device_builtin)) struct ulong4 ulong4;
typedef __attribute__((device_builtin)) struct float1 float1;
typedef __attribute__((device_builtin)) struct float2 float2;
typedef __attribute__((device_builtin)) struct float3 float3;
typedef __attribute__((device_builtin)) struct float4 float4;
typedef __attribute__((device_builtin)) struct longlong1 longlong1;
typedef __attribute__((device_builtin)) struct ulonglong1 ulonglong1;
typedef __attribute__((device_builtin)) struct longlong2 longlong2;
typedef __attribute__((device_builtin)) struct ulonglong2 ulonglong2;
typedef __attribute__((device_builtin)) struct longlong3 longlong3;
typedef __attribute__((device_builtin)) struct ulonglong3 ulonglong3;
typedef __attribute__((device_builtin)) struct longlong4 longlong4;
typedef __attribute__((device_builtin)) struct ulonglong4 ulonglong4;
typedef __attribute__((device_builtin)) struct double1 double1;
typedef __attribute__((device_builtin)) struct double2 double2;
typedef __attribute__((device_builtin)) struct double3 double3;
typedef __attribute__((device_builtin)) struct double4 double4;







struct __attribute__((device_builtin)) dim3
{
    unsigned int x, y, z;


    __attribute__((host)) __attribute__((device)) constexpr dim3(unsigned int vx = 1, unsigned int vy = 1, unsigned int vz = 1) : x(vx), y(vy), z(vz) {}
    __attribute__((host)) __attribute__((device)) constexpr dim3(uint3 v) : x(v.x), y(v.y), z(v.z) {}
    __attribute__((host)) __attribute__((device)) constexpr operator uint3(void) const { return uint3{x, y, z}; }






};

typedef __attribute__((device_builtin)) struct dim3 dim3;
# 62 "/usr/include/driver_types.h" 2 3 4
# 81 "/usr/include/driver_types.h" 3 4
# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/limits.h" 1 3 4
# 34 "/usr/lib/gcc/x86_64-linux-gnu/11/include/limits.h" 3 4
# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/syslimits.h" 1 3 4






# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/limits.h" 1 3 4
# 203 "/usr/lib/gcc/x86_64-linux-gnu/11/include/limits.h" 3 4
# 1 "/usr/include/limits.h" 1 3 4
# 26 "/usr/include/limits.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/limits.h" 2 3 4
# 195 "/usr/include/limits.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 2 3 4
# 161 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 1 3 4
# 38 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 3 4
# 1 "/usr/include/linux/limits.h" 1 3 4
# 39 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 2 3 4
# 81 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/pthread_stack_min-dynamic.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/bits/pthread_stack_min-dynamic.h" 3 4
extern "C" {
extern long int __sysconf (int __name) noexcept (true);
}
# 82 "/usr/include/x86_64-linux-gnu/bits/local_lim.h" 2 3 4
# 162 "/usr/include/x86_64-linux-gnu/bits/posix1_lim.h" 2 3 4
# 196 "/usr/include/limits.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/posix2_lim.h" 1 3 4
# 200 "/usr/include/limits.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/xopen_lim.h" 1 3 4
# 64 "/usr/include/x86_64-linux-gnu/bits/xopen_lim.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/uio_lim.h" 1 3 4
# 65 "/usr/include/x86_64-linux-gnu/bits/xopen_lim.h" 2 3 4
# 204 "/usr/include/limits.h" 2 3 4
# 204 "/usr/lib/gcc/x86_64-linux-gnu/11/include/limits.h" 2 3 4
# 8 "/usr/lib/gcc/x86_64-linux-gnu/11/include/syslimits.h" 2 3 4
# 35 "/usr/lib/gcc/x86_64-linux-gnu/11/include/limits.h" 2 3 4
# 82 "/usr/include/driver_types.h" 2 3 4
# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 143 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 3 4
typedef long int ptrdiff_t;
# 209 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 415 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 3 4
typedef struct {
  long long __max_align_ll __attribute__((__aligned__(__alignof__(long long))));
  long double __max_align_ld __attribute__((__aligned__(__alignof__(long double))));
# 426 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 3 4
} max_align_t;






  typedef decltype(nullptr) nullptr_t;
# 83 "/usr/include/driver_types.h" 2 3 4
# 201 "/usr/include/driver_types.h" 3 4
enum __attribute__((device_builtin)) cudaError
{





    cudaSuccess = 0,





    cudaErrorInvalidValue = 1,





    cudaErrorMemoryAllocation = 2,





    cudaErrorInitializationError = 3,






    cudaErrorCudartUnloading = 4,






    cudaErrorProfilerDisabled = 5,







    cudaErrorProfilerNotInitialized = 6,






    cudaErrorProfilerAlreadyStarted = 7,






     cudaErrorProfilerAlreadyStopped = 8,
# 271 "/usr/include/driver_types.h" 3 4
    cudaErrorInvalidConfiguration = 9,





    cudaErrorInvalidPitchValue = 12,





    cudaErrorInvalidSymbol = 13,







    cudaErrorInvalidHostPointer = 16,







    cudaErrorInvalidDevicePointer = 17,





    cudaErrorInvalidTexture = 18,





    cudaErrorInvalidTextureBinding = 19,






    cudaErrorInvalidChannelDescriptor = 20,





    cudaErrorInvalidMemcpyDirection = 21,
# 334 "/usr/include/driver_types.h" 3 4
    cudaErrorAddressOfConstant = 22,
# 343 "/usr/include/driver_types.h" 3 4
    cudaErrorTextureFetchFailed = 23,
# 352 "/usr/include/driver_types.h" 3 4
    cudaErrorTextureNotBound = 24,
# 361 "/usr/include/driver_types.h" 3 4
    cudaErrorSynchronizationError = 25,





    cudaErrorInvalidFilterSetting = 26,





    cudaErrorInvalidNormSetting = 27,







    cudaErrorMixedDeviceExecution = 28,







    cudaErrorNotYetImplemented = 31,
# 398 "/usr/include/driver_types.h" 3 4
    cudaErrorMemoryValueTooLarge = 32,






    cudaErrorStubLibrary = 34,






    cudaErrorInsufficientDriver = 35,






    cudaErrorCallRequiresNewerDriver = 36,





    cudaErrorInvalidSurface = 37,





    cudaErrorDuplicateVariableName = 43,





    cudaErrorDuplicateTextureName = 44,





    cudaErrorDuplicateSurfaceName = 45,
# 453 "/usr/include/driver_types.h" 3 4
    cudaErrorDevicesUnavailable = 46,
# 466 "/usr/include/driver_types.h" 3 4
    cudaErrorIncompatibleDriverContext = 49,





    cudaErrorMissingConfiguration = 52,
# 481 "/usr/include/driver_types.h" 3 4
    cudaErrorPriorLaunchFailure = 53,






    cudaErrorLaunchMaxDepthExceeded = 65,







    cudaErrorLaunchFileScopedTex = 66,







    cudaErrorLaunchFileScopedSurf = 67,
# 519 "/usr/include/driver_types.h" 3 4
    cudaErrorSyncDepthExceeded = 68,
# 531 "/usr/include/driver_types.h" 3 4
    cudaErrorLaunchPendingCountExceeded = 69,





    cudaErrorInvalidDeviceFunction = 98,





    cudaErrorNoDevice = 100,






    cudaErrorInvalidDevice = 101,




    cudaErrorDeviceNotLicensed = 102,
# 564 "/usr/include/driver_types.h" 3 4
   cudaErrorSoftwareValidityNotEstablished = 103,




    cudaErrorStartupFailure = 127,




    cudaErrorInvalidKernelImage = 200,
# 584 "/usr/include/driver_types.h" 3 4
    cudaErrorDeviceUninitialized = 201,




    cudaErrorMapBufferObjectFailed = 205,




    cudaErrorUnmapBufferObjectFailed = 206,





    cudaErrorArrayIsMapped = 207,




    cudaErrorAlreadyMapped = 208,







    cudaErrorNoKernelImageForDevice = 209,




    cudaErrorAlreadyAcquired = 210,




    cudaErrorNotMapped = 211,





    cudaErrorNotMappedAsArray = 212,





    cudaErrorNotMappedAsPointer = 213,





    cudaErrorECCUncorrectable = 214,





    cudaErrorUnsupportedLimit = 215,





    cudaErrorDeviceAlreadyInUse = 216,





    cudaErrorPeerAccessUnsupported = 217,





    cudaErrorInvalidPtx = 218,




    cudaErrorInvalidGraphicsContext = 219,





    cudaErrorNvlinkUncorrectable = 220,






    cudaErrorJitCompilerNotFound = 221,






    cudaErrorUnsupportedPtxVersion = 222,






    cudaErrorJitCompilationDisabled = 223,




    cudaErrorUnsupportedExecAffinity = 224,




    cudaErrorInvalidSource = 300,




    cudaErrorFileNotFound = 301,




    cudaErrorSharedObjectSymbolNotFound = 302,




    cudaErrorSharedObjectInitFailed = 303,




    cudaErrorOperatingSystem = 304,






    cudaErrorInvalidResourceHandle = 400,





    cudaErrorIllegalState = 401,






    cudaErrorSymbolNotFound = 500,







    cudaErrorNotReady = 600,







    cudaErrorIllegalAddress = 700,
# 772 "/usr/include/driver_types.h" 3 4
    cudaErrorLaunchOutOfResources = 701,
# 783 "/usr/include/driver_types.h" 3 4
    cudaErrorLaunchTimeout = 702,





    cudaErrorLaunchIncompatibleTexturing = 703,






    cudaErrorPeerAccessAlreadyEnabled = 704,






    cudaErrorPeerAccessNotEnabled = 705,
# 816 "/usr/include/driver_types.h" 3 4
    cudaErrorSetOnActiveProcess = 708,






    cudaErrorContextIsDestroyed = 709,






    cudaErrorAssert = 710,






    cudaErrorTooManyPeers = 711,





    cudaErrorHostMemoryAlreadyRegistered = 712,





    cudaErrorHostMemoryNotRegistered = 713,
# 858 "/usr/include/driver_types.h" 3 4
    cudaErrorHardwareStackError = 714,







    cudaErrorIllegalInstruction = 715,
# 875 "/usr/include/driver_types.h" 3 4
    cudaErrorMisalignedAddress = 716,
# 886 "/usr/include/driver_types.h" 3 4
    cudaErrorInvalidAddressSpace = 717,







    cudaErrorInvalidPc = 718,
# 905 "/usr/include/driver_types.h" 3 4
    cudaErrorLaunchFailure = 719,
# 914 "/usr/include/driver_types.h" 3 4
    cudaErrorCooperativeLaunchTooLarge = 720,




    cudaErrorNotPermitted = 800,





    cudaErrorNotSupported = 801,
# 934 "/usr/include/driver_types.h" 3 4
    cudaErrorSystemNotReady = 802,






    cudaErrorSystemDriverMismatch = 803,
# 950 "/usr/include/driver_types.h" 3 4
    cudaErrorCompatNotSupportedOnDevice = 804,




    cudaErrorMpsConnectionFailed = 805,




    cudaErrorMpsRpcFailure = 806,





    cudaErrorMpsServerNotReady = 807,




    cudaErrorMpsMaxClientsReached = 808,




    cudaErrorMpsMaxConnectionsReached = 809,




    cudaErrorStreamCaptureUnsupported = 900,





    cudaErrorStreamCaptureInvalidated = 901,





    cudaErrorStreamCaptureMerge = 902,




    cudaErrorStreamCaptureUnmatched = 903,





    cudaErrorStreamCaptureUnjoined = 904,






    cudaErrorStreamCaptureIsolation = 905,





    cudaErrorStreamCaptureImplicit = 906,





    cudaErrorCapturedEvent = 907,






    cudaErrorStreamCaptureWrongThread = 908,




    cudaErrorTimeout = 909,





    cudaErrorGraphExecUpdateFailure = 910,
# 1051 "/usr/include/driver_types.h" 3 4
    cudaErrorExternalDevice = 911,




    cudaErrorUnknown = 999,







    cudaErrorApiFailureBase = 10000
};




enum __attribute__((device_builtin)) cudaChannelFormatKind
{
    cudaChannelFormatKindSigned = 0,
    cudaChannelFormatKindUnsigned = 1,
    cudaChannelFormatKindFloat = 2,
    cudaChannelFormatKindNone = 3,
    cudaChannelFormatKindNV12 = 4,
    cudaChannelFormatKindUnsignedNormalized8X1 = 5,
    cudaChannelFormatKindUnsignedNormalized8X2 = 6,
    cudaChannelFormatKindUnsignedNormalized8X4 = 7,
    cudaChannelFormatKindUnsignedNormalized16X1 = 8,
    cudaChannelFormatKindUnsignedNormalized16X2 = 9,
    cudaChannelFormatKindUnsignedNormalized16X4 = 10,
    cudaChannelFormatKindSignedNormalized8X1 = 11,
    cudaChannelFormatKindSignedNormalized8X2 = 12,
    cudaChannelFormatKindSignedNormalized8X4 = 13,
    cudaChannelFormatKindSignedNormalized16X1 = 14,
    cudaChannelFormatKindSignedNormalized16X2 = 15,
    cudaChannelFormatKindSignedNormalized16X4 = 16,
    cudaChannelFormatKindUnsignedBlockCompressed1 = 17,
    cudaChannelFormatKindUnsignedBlockCompressed1SRGB = 18,
    cudaChannelFormatKindUnsignedBlockCompressed2 = 19,
    cudaChannelFormatKindUnsignedBlockCompressed2SRGB = 20,
    cudaChannelFormatKindUnsignedBlockCompressed3 = 21,
    cudaChannelFormatKindUnsignedBlockCompressed3SRGB = 22,
    cudaChannelFormatKindUnsignedBlockCompressed4 = 23,
    cudaChannelFormatKindSignedBlockCompressed4 = 24,
    cudaChannelFormatKindUnsignedBlockCompressed5 = 25,
    cudaChannelFormatKindSignedBlockCompressed5 = 26,
    cudaChannelFormatKindUnsignedBlockCompressed6H = 27,
    cudaChannelFormatKindSignedBlockCompressed6H = 28,
    cudaChannelFormatKindUnsignedBlockCompressed7 = 29,
    cudaChannelFormatKindUnsignedBlockCompressed7SRGB = 30
};




struct __attribute__((device_builtin)) cudaChannelFormatDesc
{
    int x;
    int y;
    int z;
    int w;
    enum cudaChannelFormatKind f;
};




typedef struct cudaArray *cudaArray_t;




typedef const struct cudaArray *cudaArray_const_t;

struct cudaArray;




typedef struct cudaMipmappedArray *cudaMipmappedArray_t;




typedef const struct cudaMipmappedArray *cudaMipmappedArray_const_t;

struct cudaMipmappedArray;
# 1149 "/usr/include/driver_types.h" 3 4
struct __attribute__((device_builtin)) cudaArraySparseProperties {
    struct {
        unsigned int width;
        unsigned int height;
        unsigned int depth;
    } tileExtent;
    unsigned int miptailFirstLevel;
    unsigned long long miptailSize;
    unsigned int flags;
    unsigned int reserved[4];
};




enum __attribute__((device_builtin)) cudaMemoryType
{
    cudaMemoryTypeUnregistered = 0,
    cudaMemoryTypeHost = 1,
    cudaMemoryTypeDevice = 2,
    cudaMemoryTypeManaged = 3
};




enum __attribute__((device_builtin)) cudaMemcpyKind
{
    cudaMemcpyHostToHost = 0,
    cudaMemcpyHostToDevice = 1,
    cudaMemcpyDeviceToHost = 2,
    cudaMemcpyDeviceToDevice = 3,
    cudaMemcpyDefault = 4
};






struct __attribute__((device_builtin)) cudaPitchedPtr
{
    void *ptr;
    size_t pitch;
    size_t xsize;
    size_t ysize;
};






struct __attribute__((device_builtin)) cudaExtent
{
    size_t width;
    size_t height;
    size_t depth;
};






struct __attribute__((device_builtin)) cudaPos
{
    size_t x;
    size_t y;
    size_t z;
};




struct __attribute__((device_builtin)) cudaMemcpy3DParms
{
    cudaArray_t srcArray;
    struct cudaPos srcPos;
    struct cudaPitchedPtr srcPtr;

    cudaArray_t dstArray;
    struct cudaPos dstPos;
    struct cudaPitchedPtr dstPtr;

    struct cudaExtent extent;
    enum cudaMemcpyKind kind;
};




struct __attribute__((device_builtin)) cudaMemcpy3DPeerParms
{
    cudaArray_t srcArray;
    struct cudaPos srcPos;
    struct cudaPitchedPtr srcPtr;
    int srcDevice;

    cudaArray_t dstArray;
    struct cudaPos dstPos;
    struct cudaPitchedPtr dstPtr;
    int dstDevice;

    struct cudaExtent extent;
};




struct __attribute__((device_builtin)) cudaMemsetParams {
    void *dst;
    size_t pitch;
    unsigned int value;
    unsigned int elementSize;
    size_t width;
    size_t height;
};




enum __attribute__((device_builtin)) cudaAccessProperty {
    cudaAccessPropertyNormal = 0,
    cudaAccessPropertyStreaming = 1,
    cudaAccessPropertyPersisting = 2
};
# 1288 "/usr/include/driver_types.h" 3 4
struct __attribute__((device_builtin)) cudaAccessPolicyWindow {
    void *base_ptr;
    size_t num_bytes;
    float hitRatio;
    enum cudaAccessProperty hitProp;
    enum cudaAccessProperty missProp;
};
# 1306 "/usr/include/driver_types.h" 3 4
typedef void ( *cudaHostFn_t)(void *userData);




struct __attribute__((device_builtin)) cudaHostNodeParams {
    cudaHostFn_t fn;
    void* userData;
};




enum __attribute__((device_builtin)) cudaStreamCaptureStatus {
    cudaStreamCaptureStatusNone = 0,
    cudaStreamCaptureStatusActive = 1,
    cudaStreamCaptureStatusInvalidated = 2

};





enum __attribute__((device_builtin)) cudaStreamCaptureMode {
    cudaStreamCaptureModeGlobal = 0,
    cudaStreamCaptureModeThreadLocal = 1,
    cudaStreamCaptureModeRelaxed = 2
};

enum __attribute__((device_builtin)) cudaSynchronizationPolicy {
    cudaSyncPolicyAuto = 1,
    cudaSyncPolicySpin = 2,
    cudaSyncPolicyYield = 3,
    cudaSyncPolicyBlockingSync = 4
};




enum __attribute__((device_builtin)) cudaStreamAttrID {
    cudaStreamAttributeAccessPolicyWindow = 1,
    cudaStreamAttributeSynchronizationPolicy = 3
};




union __attribute__((device_builtin)) cudaStreamAttrValue {
    struct cudaAccessPolicyWindow accessPolicyWindow;
    enum cudaSynchronizationPolicy syncPolicy;
};




enum __attribute__((device_builtin)) cudaStreamUpdateCaptureDependenciesFlags {
    cudaStreamAddCaptureDependencies = 0x0,
    cudaStreamSetCaptureDependencies = 0x1
};




enum __attribute__((device_builtin)) cudaUserObjectFlags {
    cudaUserObjectNoDestructorSync = 0x1
};




enum __attribute__((device_builtin)) cudaUserObjectRetainFlags {
    cudaGraphUserObjectMove = 0x1
};




struct cudaGraphicsResource;




enum __attribute__((device_builtin)) cudaGraphicsRegisterFlags
{
    cudaGraphicsRegisterFlagsNone = 0,
    cudaGraphicsRegisterFlagsReadOnly = 1,
    cudaGraphicsRegisterFlagsWriteDiscard = 2,
    cudaGraphicsRegisterFlagsSurfaceLoadStore = 4,
    cudaGraphicsRegisterFlagsTextureGather = 8
};




enum __attribute__((device_builtin)) cudaGraphicsMapFlags
{
    cudaGraphicsMapFlagsNone = 0,
    cudaGraphicsMapFlagsReadOnly = 1,
    cudaGraphicsMapFlagsWriteDiscard = 2
};




enum __attribute__((device_builtin)) cudaGraphicsCubeFace
{
    cudaGraphicsCubeFacePositiveX = 0x00,
    cudaGraphicsCubeFaceNegativeX = 0x01,
    cudaGraphicsCubeFacePositiveY = 0x02,
    cudaGraphicsCubeFaceNegativeY = 0x03,
    cudaGraphicsCubeFacePositiveZ = 0x04,
    cudaGraphicsCubeFaceNegativeZ = 0x05
};




enum __attribute__((device_builtin)) cudaKernelNodeAttrID {
    cudaKernelNodeAttributeAccessPolicyWindow = 1,
    cudaKernelNodeAttributeCooperative = 2
};




union __attribute__((device_builtin)) cudaKernelNodeAttrValue {
    struct cudaAccessPolicyWindow accessPolicyWindow;
    int cooperative;
};




enum __attribute__((device_builtin)) cudaResourceType
{
    cudaResourceTypeArray = 0x00,
    cudaResourceTypeMipmappedArray = 0x01,
    cudaResourceTypeLinear = 0x02,
    cudaResourceTypePitch2D = 0x03
};




enum __attribute__((device_builtin)) cudaResourceViewFormat
{
    cudaResViewFormatNone = 0x00,
    cudaResViewFormatUnsignedChar1 = 0x01,
    cudaResViewFormatUnsignedChar2 = 0x02,
    cudaResViewFormatUnsignedChar4 = 0x03,
    cudaResViewFormatSignedChar1 = 0x04,
    cudaResViewFormatSignedChar2 = 0x05,
    cudaResViewFormatSignedChar4 = 0x06,
    cudaResViewFormatUnsignedShort1 = 0x07,
    cudaResViewFormatUnsignedShort2 = 0x08,
    cudaResViewFormatUnsignedShort4 = 0x09,
    cudaResViewFormatSignedShort1 = 0x0a,
    cudaResViewFormatSignedShort2 = 0x0b,
    cudaResViewFormatSignedShort4 = 0x0c,
    cudaResViewFormatUnsignedInt1 = 0x0d,
    cudaResViewFormatUnsignedInt2 = 0x0e,
    cudaResViewFormatUnsignedInt4 = 0x0f,
    cudaResViewFormatSignedInt1 = 0x10,
    cudaResViewFormatSignedInt2 = 0x11,
    cudaResViewFormatSignedInt4 = 0x12,
    cudaResViewFormatHalf1 = 0x13,
    cudaResViewFormatHalf2 = 0x14,
    cudaResViewFormatHalf4 = 0x15,
    cudaResViewFormatFloat1 = 0x16,
    cudaResViewFormatFloat2 = 0x17,
    cudaResViewFormatFloat4 = 0x18,
    cudaResViewFormatUnsignedBlockCompressed1 = 0x19,
    cudaResViewFormatUnsignedBlockCompressed2 = 0x1a,
    cudaResViewFormatUnsignedBlockCompressed3 = 0x1b,
    cudaResViewFormatUnsignedBlockCompressed4 = 0x1c,
    cudaResViewFormatSignedBlockCompressed4 = 0x1d,
    cudaResViewFormatUnsignedBlockCompressed5 = 0x1e,
    cudaResViewFormatSignedBlockCompressed5 = 0x1f,
    cudaResViewFormatUnsignedBlockCompressed6H = 0x20,
    cudaResViewFormatSignedBlockCompressed6H = 0x21,
    cudaResViewFormatUnsignedBlockCompressed7 = 0x22
};




struct __attribute__((device_builtin)) cudaResourceDesc {
    enum cudaResourceType resType;

    union {
        struct {
            cudaArray_t array;
        } array;
        struct {
            cudaMipmappedArray_t mipmap;
        } mipmap;
        struct {
            void *devPtr;
            struct cudaChannelFormatDesc desc;
            size_t sizeInBytes;
        } linear;
        struct {
            void *devPtr;
            struct cudaChannelFormatDesc desc;
            size_t width;
            size_t height;
            size_t pitchInBytes;
        } pitch2D;
    } res;
};




struct __attribute__((device_builtin)) cudaResourceViewDesc
{
    enum cudaResourceViewFormat format;
    size_t width;
    size_t height;
    size_t depth;
    unsigned int firstMipmapLevel;
    unsigned int lastMipmapLevel;
    unsigned int firstLayer;
    unsigned int lastLayer;
};




struct __attribute__((device_builtin)) cudaPointerAttributes
{




    enum cudaMemoryType type;
# 1553 "/usr/include/driver_types.h" 3 4
    int device;





    void *devicePointer;
# 1568 "/usr/include/driver_types.h" 3 4
    void *hostPointer;
};




struct __attribute__((device_builtin)) cudaFuncAttributes
{





   size_t sharedSizeBytes;





   size_t constSizeBytes;




   size_t localSizeBytes;






   int maxThreadsPerBlock;




   int numRegs;






   int ptxVersion;






   int binaryVersion;





   int cacheModeCA;






   int maxDynamicSharedSizeBytes;
# 1640 "/usr/include/driver_types.h" 3 4
   int preferredShmemCarveout;
# 1690 "/usr/include/driver_types.h" 3 4
};




enum __attribute__((device_builtin)) cudaFuncAttribute
{
    cudaFuncAttributeMaxDynamicSharedMemorySize = 8,
    cudaFuncAttributePreferredSharedMemoryCarveout = 9,
# 1707 "/usr/include/driver_types.h" 3 4
    cudaFuncAttributeMax
};




enum __attribute__((device_builtin)) cudaFuncCache
{
    cudaFuncCachePreferNone = 0,
    cudaFuncCachePreferShared = 1,
    cudaFuncCachePreferL1 = 2,
    cudaFuncCachePreferEqual = 3
};





enum __attribute__((device_builtin)) cudaSharedMemConfig
{
    cudaSharedMemBankSizeDefault = 0,
    cudaSharedMemBankSizeFourByte = 1,
    cudaSharedMemBankSizeEightByte = 2
};




enum __attribute__((device_builtin)) cudaSharedCarveout {
    cudaSharedmemCarveoutDefault = -1,
    cudaSharedmemCarveoutMaxShared = 100,
    cudaSharedmemCarveoutMaxL1 = 0
};
# 1755 "/usr/include/driver_types.h" 3 4
enum __attribute__((device_builtin)) cudaComputeMode
{
    cudaComputeModeDefault = 0,
    cudaComputeModeExclusive = 1,
    cudaComputeModeProhibited = 2,
    cudaComputeModeExclusiveProcess = 3
};




enum __attribute__((device_builtin)) cudaLimit
{
    cudaLimitStackSize = 0x00,
    cudaLimitPrintfFifoSize = 0x01,
    cudaLimitMallocHeapSize = 0x02,
    cudaLimitDevRuntimeSyncDepth = 0x03,
    cudaLimitDevRuntimePendingLaunchCount = 0x04,
    cudaLimitMaxL2FetchGranularity = 0x05,
    cudaLimitPersistingL2CacheSize = 0x06
};




enum __attribute__((device_builtin)) cudaMemoryAdvise
{
    cudaMemAdviseSetReadMostly = 1,
    cudaMemAdviseUnsetReadMostly = 2,
    cudaMemAdviseSetPreferredLocation = 3,
    cudaMemAdviseUnsetPreferredLocation = 4,
    cudaMemAdviseSetAccessedBy = 5,
    cudaMemAdviseUnsetAccessedBy = 6
};




enum __attribute__((device_builtin)) cudaMemRangeAttribute
{
    cudaMemRangeAttributeReadMostly = 1,
    cudaMemRangeAttributePreferredLocation = 2,
    cudaMemRangeAttributeAccessedBy = 3,
    cudaMemRangeAttributeLastPrefetchLocation = 4
};




enum __attribute__((device_builtin)) cudaOutputMode
{
    cudaKeyValuePair = 0x00,
    cudaCSV = 0x01
};




enum __attribute__((device_builtin)) cudaFlushGPUDirectRDMAWritesOptions {
    cudaFlushGPUDirectRDMAWritesOptionHost = 1<<0,
    cudaFlushGPUDirectRDMAWritesOptionMemOps = 1<<1
};




enum __attribute__((device_builtin)) cudaGPUDirectRDMAWritesOrdering {
    cudaGPUDirectRDMAWritesOrderingNone = 0,
    cudaGPUDirectRDMAWritesOrderingOwner = 100,
    cudaGPUDirectRDMAWritesOrderingAllDevices = 200
};




enum __attribute__((device_builtin)) cudaFlushGPUDirectRDMAWritesScope {
    cudaFlushGPUDirectRDMAWritesToOwner = 100,
    cudaFlushGPUDirectRDMAWritesToAllDevices = 200
};




enum __attribute__((device_builtin)) cudaFlushGPUDirectRDMAWritesTarget {
    cudaFlushGPUDirectRDMAWritesTargetCurrentDevice
};





enum __attribute__((device_builtin)) cudaDeviceAttr
{
    cudaDevAttrMaxThreadsPerBlock = 1,
    cudaDevAttrMaxBlockDimX = 2,
    cudaDevAttrMaxBlockDimY = 3,
    cudaDevAttrMaxBlockDimZ = 4,
    cudaDevAttrMaxGridDimX = 5,
    cudaDevAttrMaxGridDimY = 6,
    cudaDevAttrMaxGridDimZ = 7,
    cudaDevAttrMaxSharedMemoryPerBlock = 8,
    cudaDevAttrTotalConstantMemory = 9,
    cudaDevAttrWarpSize = 10,
    cudaDevAttrMaxPitch = 11,
    cudaDevAttrMaxRegistersPerBlock = 12,
    cudaDevAttrClockRate = 13,
    cudaDevAttrTextureAlignment = 14,
    cudaDevAttrGpuOverlap = 15,
    cudaDevAttrMultiProcessorCount = 16,
    cudaDevAttrKernelExecTimeout = 17,
    cudaDevAttrIntegrated = 18,
    cudaDevAttrCanMapHostMemory = 19,
    cudaDevAttrComputeMode = 20,
    cudaDevAttrMaxTexture1DWidth = 21,
    cudaDevAttrMaxTexture2DWidth = 22,
    cudaDevAttrMaxTexture2DHeight = 23,
    cudaDevAttrMaxTexture3DWidth = 24,
    cudaDevAttrMaxTexture3DHeight = 25,
    cudaDevAttrMaxTexture3DDepth = 26,
    cudaDevAttrMaxTexture2DLayeredWidth = 27,
    cudaDevAttrMaxTexture2DLayeredHeight = 28,
    cudaDevAttrMaxTexture2DLayeredLayers = 29,
    cudaDevAttrSurfaceAlignment = 30,
    cudaDevAttrConcurrentKernels = 31,
    cudaDevAttrEccEnabled = 32,
    cudaDevAttrPciBusId = 33,
    cudaDevAttrPciDeviceId = 34,
    cudaDevAttrTccDriver = 35,
    cudaDevAttrMemoryClockRate = 36,
    cudaDevAttrGlobalMemoryBusWidth = 37,
    cudaDevAttrL2CacheSize = 38,
    cudaDevAttrMaxThreadsPerMultiProcessor = 39,
    cudaDevAttrAsyncEngineCount = 40,
    cudaDevAttrUnifiedAddressing = 41,
    cudaDevAttrMaxTexture1DLayeredWidth = 42,
    cudaDevAttrMaxTexture1DLayeredLayers = 43,
    cudaDevAttrMaxTexture2DGatherWidth = 45,
    cudaDevAttrMaxTexture2DGatherHeight = 46,
    cudaDevAttrMaxTexture3DWidthAlt = 47,
    cudaDevAttrMaxTexture3DHeightAlt = 48,
    cudaDevAttrMaxTexture3DDepthAlt = 49,
    cudaDevAttrPciDomainId = 50,
    cudaDevAttrTexturePitchAlignment = 51,
    cudaDevAttrMaxTextureCubemapWidth = 52,
    cudaDevAttrMaxTextureCubemapLayeredWidth = 53,
    cudaDevAttrMaxTextureCubemapLayeredLayers = 54,
    cudaDevAttrMaxSurface1DWidth = 55,
    cudaDevAttrMaxSurface2DWidth = 56,
    cudaDevAttrMaxSurface2DHeight = 57,
    cudaDevAttrMaxSurface3DWidth = 58,
    cudaDevAttrMaxSurface3DHeight = 59,
    cudaDevAttrMaxSurface3DDepth = 60,
    cudaDevAttrMaxSurface1DLayeredWidth = 61,
    cudaDevAttrMaxSurface1DLayeredLayers = 62,
    cudaDevAttrMaxSurface2DLayeredWidth = 63,
    cudaDevAttrMaxSurface2DLayeredHeight = 64,
    cudaDevAttrMaxSurface2DLayeredLayers = 65,
    cudaDevAttrMaxSurfaceCubemapWidth = 66,
    cudaDevAttrMaxSurfaceCubemapLayeredWidth = 67,
    cudaDevAttrMaxSurfaceCubemapLayeredLayers = 68,
    cudaDevAttrMaxTexture1DLinearWidth = 69,
    cudaDevAttrMaxTexture2DLinearWidth = 70,
    cudaDevAttrMaxTexture2DLinearHeight = 71,
    cudaDevAttrMaxTexture2DLinearPitch = 72,
    cudaDevAttrMaxTexture2DMipmappedWidth = 73,
    cudaDevAttrMaxTexture2DMipmappedHeight = 74,
    cudaDevAttrComputeCapabilityMajor = 75,
    cudaDevAttrComputeCapabilityMinor = 76,
    cudaDevAttrMaxTexture1DMipmappedWidth = 77,
    cudaDevAttrStreamPrioritiesSupported = 78,
    cudaDevAttrGlobalL1CacheSupported = 79,
    cudaDevAttrLocalL1CacheSupported = 80,
    cudaDevAttrMaxSharedMemoryPerMultiprocessor = 81,
    cudaDevAttrMaxRegistersPerMultiprocessor = 82,
    cudaDevAttrManagedMemory = 83,
    cudaDevAttrIsMultiGpuBoard = 84,
    cudaDevAttrMultiGpuBoardGroupID = 85,
    cudaDevAttrHostNativeAtomicSupported = 86,
    cudaDevAttrSingleToDoublePrecisionPerfRatio = 87,
    cudaDevAttrPageableMemoryAccess = 88,
    cudaDevAttrConcurrentManagedAccess = 89,
    cudaDevAttrComputePreemptionSupported = 90,
    cudaDevAttrCanUseHostPointerForRegisteredMem = 91,
    cudaDevAttrReserved92 = 92,
    cudaDevAttrReserved93 = 93,
    cudaDevAttrReserved94 = 94,
    cudaDevAttrCooperativeLaunch = 95,
    cudaDevAttrCooperativeMultiDeviceLaunch = 96,
    cudaDevAttrMaxSharedMemoryPerBlockOptin = 97,
    cudaDevAttrCanFlushRemoteWrites = 98,
    cudaDevAttrHostRegisterSupported = 99,
    cudaDevAttrPageableMemoryAccessUsesHostPageTables = 100,
    cudaDevAttrDirectManagedMemAccessFromHost = 101,
    cudaDevAttrMaxBlocksPerMultiprocessor = 106,
    cudaDevAttrMaxPersistingL2CacheSize = 108,
    cudaDevAttrMaxAccessPolicyWindowSize = 109,
    cudaDevAttrReservedSharedMemoryPerBlock = 111,
    cudaDevAttrSparseCudaArraySupported = 112,
    cudaDevAttrHostRegisterReadOnlySupported = 113,
    cudaDevAttrTimelineSemaphoreInteropSupported = 114,
    cudaDevAttrMaxTimelineSemaphoreInteropSupported = 114,
    cudaDevAttrMemoryPoolsSupported = 115,
    cudaDevAttrGPUDirectRDMASupported = 116,
    cudaDevAttrGPUDirectRDMAFlushWritesOptions = 117,
    cudaDevAttrGPUDirectRDMAWritesOrdering = 118,
    cudaDevAttrMemoryPoolSupportedHandleTypes = 119,



    cudaDevAttrMax
};




enum __attribute__((device_builtin)) cudaMemPoolAttr
{
# 1980 "/usr/include/driver_types.h" 3 4
    cudaMemPoolReuseFollowEventDependencies = 0x1,






    cudaMemPoolReuseAllowOpportunistic = 0x2,







    cudaMemPoolReuseAllowInternalDependencies = 0x3,
# 2006 "/usr/include/driver_types.h" 3 4
    cudaMemPoolAttrReleaseThreshold = 0x4,





    cudaMemPoolAttrReservedMemCurrent = 0x5,






    cudaMemPoolAttrReservedMemHigh = 0x6,





    cudaMemPoolAttrUsedMemCurrent = 0x7,






    cudaMemPoolAttrUsedMemHigh = 0x8
};




enum __attribute__((device_builtin)) cudaMemLocationType {
    cudaMemLocationTypeInvalid = 0,
    cudaMemLocationTypeDevice = 1
};






struct __attribute__((device_builtin)) cudaMemLocation {
    enum cudaMemLocationType type;
    int id;
};




enum __attribute__((device_builtin)) cudaMemAccessFlags {
    cudaMemAccessFlagsProtNone = 0,
    cudaMemAccessFlagsProtRead = 1,
    cudaMemAccessFlagsProtReadWrite = 3
};




struct __attribute__((device_builtin)) cudaMemAccessDesc {
    struct cudaMemLocation location;
    enum cudaMemAccessFlags flags;
};




enum __attribute__((device_builtin)) cudaMemAllocationType {
    cudaMemAllocationTypeInvalid = 0x0,



    cudaMemAllocationTypePinned = 0x1,
    cudaMemAllocationTypeMax = 0x7FFFFFFF
};




enum __attribute__((device_builtin)) cudaMemAllocationHandleType {
    cudaMemHandleTypeNone = 0x0,
    cudaMemHandleTypePosixFileDescriptor = 0x1,
    cudaMemHandleTypeWin32 = 0x2,
    cudaMemHandleTypeWin32Kmt = 0x4
};




struct __attribute__((device_builtin)) cudaMemPoolProps {
    enum cudaMemAllocationType allocType;
    enum cudaMemAllocationHandleType handleTypes;
    struct cudaMemLocation location;






    void *win32SecurityAttributes;
    unsigned char reserved[64];
};




struct __attribute__((device_builtin)) cudaMemPoolPtrExportData {
    unsigned char reserved[64];
};




struct __attribute__((device_builtin)) cudaMemAllocNodeParams {




    struct cudaMemPoolProps poolProps;
    const struct cudaMemAccessDesc *accessDescs;
    size_t accessDescCount;
    size_t bytesize;
    void *dptr;
};




enum __attribute__((device_builtin)) cudaGraphMemAttributeType {




    cudaGraphMemAttrUsedMemCurrent = 0x1,






    cudaGraphMemAttrUsedMemHigh = 0x2,






    cudaGraphMemAttrReservedMemCurrent = 0x3,






    cudaGraphMemAttrReservedMemHigh = 0x4
};





enum __attribute__((device_builtin)) cudaDeviceP2PAttr {
    cudaDevP2PAttrPerformanceRank = 1,
    cudaDevP2PAttrAccessSupported = 2,
    cudaDevP2PAttrNativeAtomicSupported = 3,
    cudaDevP2PAttrCudaArrayAccessSupported = 4
};






struct __attribute__((device_builtin)) CUuuid_st {
    char bytes[16];
};
typedef __attribute__((device_builtin)) struct CUuuid_st CUuuid;

typedef __attribute__((device_builtin)) struct CUuuid_st cudaUUID_t;




struct __attribute__((device_builtin)) cudaDeviceProp
{
    char name[256];
    cudaUUID_t uuid;
    char luid[8];
    unsigned int luidDeviceNodeMask;
    size_t totalGlobalMem;
    size_t sharedMemPerBlock;
    int regsPerBlock;
    int warpSize;
    size_t memPitch;
    int maxThreadsPerBlock;
    int maxThreadsDim[3];
    int maxGridSize[3];
    int clockRate;
    size_t totalConstMem;
    int major;
    int minor;
    size_t textureAlignment;
    size_t texturePitchAlignment;
    int deviceOverlap;
    int multiProcessorCount;
    int kernelExecTimeoutEnabled;
    int integrated;
    int canMapHostMemory;
    int computeMode;
    int maxTexture1D;
    int maxTexture1DMipmap;
    int maxTexture1DLinear;
    int maxTexture2D[2];
    int maxTexture2DMipmap[2];
    int maxTexture2DLinear[3];
    int maxTexture2DGather[2];
    int maxTexture3D[3];
    int maxTexture3DAlt[3];
    int maxTextureCubemap;
    int maxTexture1DLayered[2];
    int maxTexture2DLayered[3];
    int maxTextureCubemapLayered[2];
    int maxSurface1D;
    int maxSurface2D[2];
    int maxSurface3D[3];
    int maxSurface1DLayered[2];
    int maxSurface2DLayered[3];
    int maxSurfaceCubemap;
    int maxSurfaceCubemapLayered[2];
    size_t surfaceAlignment;
    int concurrentKernels;
    int ECCEnabled;
    int pciBusID;
    int pciDeviceID;
    int pciDomainID;
    int tccDriver;
    int asyncEngineCount;
    int unifiedAddressing;
    int memoryClockRate;
    int memoryBusWidth;
    int l2CacheSize;
    int persistingL2CacheMaxSize;
    int maxThreadsPerMultiProcessor;
    int streamPrioritiesSupported;
    int globalL1CacheSupported;
    int localL1CacheSupported;
    size_t sharedMemPerMultiprocessor;
    int regsPerMultiprocessor;
    int managedMemory;
    int isMultiGpuBoard;
    int multiGpuBoardGroupID;
    int hostNativeAtomicSupported;
    int singleToDoublePrecisionPerfRatio;
    int pageableMemoryAccess;
    int concurrentManagedAccess;
    int computePreemptionSupported;
    int canUseHostPointerForRegisteredMem;
    int cooperativeLaunch;
    int cooperativeMultiDeviceLaunch;
    size_t sharedMemPerBlockOptin;
    int pageableMemoryAccessUsesHostPageTables;
    int directManagedMemAccessFromHost;
    int maxBlocksPerMultiProcessor;
    int accessPolicyMaxWindowSize;
    size_t reservedSharedMemPerBlock;



};
# 2372 "/usr/include/driver_types.h" 3 4
typedef __attribute__((device_builtin)) struct __attribute__((device_builtin)) cudaIpcEventHandle_st
{
    char reserved[64];
}cudaIpcEventHandle_t;




typedef __attribute__((device_builtin)) struct __attribute__((device_builtin)) cudaIpcMemHandle_st
{
    char reserved[64];
}cudaIpcMemHandle_t;




enum __attribute__((device_builtin)) cudaExternalMemoryHandleType {



    cudaExternalMemoryHandleTypeOpaqueFd = 1,



    cudaExternalMemoryHandleTypeOpaqueWin32 = 2,



    cudaExternalMemoryHandleTypeOpaqueWin32Kmt = 3,



    cudaExternalMemoryHandleTypeD3D12Heap = 4,



    cudaExternalMemoryHandleTypeD3D12Resource = 5,



    cudaExternalMemoryHandleTypeD3D11Resource = 6,



    cudaExternalMemoryHandleTypeD3D11ResourceKmt = 7,



    cudaExternalMemoryHandleTypeNvSciBuf = 8
};
# 2463 "/usr/include/driver_types.h" 3 4
struct __attribute__((device_builtin)) cudaExternalMemoryHandleDesc {



    enum cudaExternalMemoryHandleType type;
    union {





        int fd;
# 2490 "/usr/include/driver_types.h" 3 4
        struct {



            void *handle;




            const void *name;
        } win32;




        const void *nvSciBufObject;
    } handle;



    unsigned long long size;



    unsigned int flags;
};




struct __attribute__((device_builtin)) cudaExternalMemoryBufferDesc {



    unsigned long long offset;



    unsigned long long size;



    unsigned int flags;
};




struct __attribute__((device_builtin)) cudaExternalMemoryMipmappedArrayDesc {




    unsigned long long offset;



    struct cudaChannelFormatDesc formatDesc;



    struct cudaExtent extent;




    unsigned int flags;



    unsigned int numLevels;
};




enum __attribute__((device_builtin)) cudaExternalSemaphoreHandleType {



    cudaExternalSemaphoreHandleTypeOpaqueFd = 1,



    cudaExternalSemaphoreHandleTypeOpaqueWin32 = 2,



    cudaExternalSemaphoreHandleTypeOpaqueWin32Kmt = 3,



    cudaExternalSemaphoreHandleTypeD3D12Fence = 4,



    cudaExternalSemaphoreHandleTypeD3D11Fence = 5,



     cudaExternalSemaphoreHandleTypeNvSciSync = 6,



    cudaExternalSemaphoreHandleTypeKeyedMutex = 7,



    cudaExternalSemaphoreHandleTypeKeyedMutexKmt = 8,



    cudaExternalSemaphoreHandleTypeTimelineSemaphoreFd = 9,



    cudaExternalSemaphoreHandleTypeTimelineSemaphoreWin32 = 10
};




struct __attribute__((device_builtin)) cudaExternalSemaphoreHandleDesc {



    enum cudaExternalSemaphoreHandleType type;
    union {






        int fd;
# 2640 "/usr/include/driver_types.h" 3 4
        struct {



            void *handle;




            const void *name;
        } win32;



        const void* nvSciSyncObj;
    } handle;



    unsigned int flags;
};




struct __attribute__((device_builtin)) cudaExternalSemaphoreSignalParams_v1 {
    struct {



        struct {



            unsigned long long value;
        } fence;
        union {




            void *fence;
            unsigned long long reserved;
        } nvSciSync;



        struct {



            unsigned long long key;
        } keyedMutex;
    } params;
# 2704 "/usr/include/driver_types.h" 3 4
    unsigned int flags;
};




struct __attribute__((device_builtin)) cudaExternalSemaphoreWaitParams_v1 {
    struct {



        struct {



            unsigned long long value;
        } fence;
        union {




            void *fence;
            unsigned long long reserved;
        } nvSciSync;



        struct {



            unsigned long long key;



            unsigned int timeoutMs;
        } keyedMutex;
    } params;
# 2753 "/usr/include/driver_types.h" 3 4
    unsigned int flags;
};




struct __attribute__((device_builtin)) cudaExternalSemaphoreSignalParams{
    struct {



        struct {



            unsigned long long value;
        } fence;
        union {




            void *fence;
            unsigned long long reserved;
        } nvSciSync;



        struct {



            unsigned long long key;
        } keyedMutex;
        unsigned int reserved[12];
    } params;
# 2799 "/usr/include/driver_types.h" 3 4
    unsigned int flags;
    unsigned int reserved[16];
};




struct __attribute__((device_builtin)) cudaExternalSemaphoreWaitParams {
    struct {



        struct {



            unsigned long long value;
        } fence;
        union {




            void *fence;
            unsigned long long reserved;
        } nvSciSync;



        struct {



            unsigned long long key;



            unsigned int timeoutMs;
        } keyedMutex;
        unsigned int reserved[10];
    } params;
# 2850 "/usr/include/driver_types.h" 3 4
    unsigned int flags;
    unsigned int reserved[16];
};
# 2864 "/usr/include/driver_types.h" 3 4
typedef __attribute__((device_builtin)) enum cudaError cudaError_t;




typedef __attribute__((device_builtin)) struct CUstream_st *cudaStream_t;




typedef __attribute__((device_builtin)) struct CUevent_st *cudaEvent_t;




typedef __attribute__((device_builtin)) struct cudaGraphicsResource *cudaGraphicsResource_t;




typedef __attribute__((device_builtin)) enum cudaOutputMode cudaOutputMode_t;




typedef __attribute__((device_builtin)) struct CUexternalMemory_st *cudaExternalMemory_t;




typedef __attribute__((device_builtin)) struct CUexternalSemaphore_st *cudaExternalSemaphore_t;




typedef __attribute__((device_builtin)) struct CUgraph_st *cudaGraph_t;




typedef __attribute__((device_builtin)) struct CUgraphNode_st *cudaGraphNode_t;




typedef __attribute__((device_builtin)) struct CUuserObject_st *cudaUserObject_t;




typedef __attribute__((device_builtin)) struct CUfunc_st *cudaFunction_t;




typedef __attribute__((device_builtin)) struct CUmemPoolHandle_st *cudaMemPool_t;




enum __attribute__((device_builtin)) cudaCGScope {
    cudaCGScopeInvalid = 0,
    cudaCGScopeGrid = 1,
    cudaCGScopeMultiGrid = 2
};




struct __attribute__((device_builtin)) cudaLaunchParams
{
    void *func;
    dim3 gridDim;
    dim3 blockDim;
    void **args;
    size_t sharedMem;
    cudaStream_t stream;
};




struct __attribute__((device_builtin)) cudaKernelNodeParams {
    void* func;
    dim3 gridDim;
    dim3 blockDim;
    unsigned int sharedMemBytes;
    void **kernelParams;
    void **extra;
};




struct __attribute__((device_builtin)) cudaExternalSemaphoreSignalNodeParams {
    cudaExternalSemaphore_t* extSemArray;
    const struct cudaExternalSemaphoreSignalParams* paramsArray;
    unsigned int numExtSems;
};




struct __attribute__((device_builtin)) cudaExternalSemaphoreWaitNodeParams {
    cudaExternalSemaphore_t* extSemArray;
    const struct cudaExternalSemaphoreWaitParams* paramsArray;
    unsigned int numExtSems;
};




enum __attribute__((device_builtin)) cudaGraphNodeType {
    cudaGraphNodeTypeKernel = 0x00,
    cudaGraphNodeTypeMemcpy = 0x01,
    cudaGraphNodeTypeMemset = 0x02,
    cudaGraphNodeTypeHost = 0x03,
    cudaGraphNodeTypeGraph = 0x04,
    cudaGraphNodeTypeEmpty = 0x05,
    cudaGraphNodeTypeWaitEvent = 0x06,
    cudaGraphNodeTypeEventRecord = 0x07,
    cudaGraphNodeTypeExtSemaphoreSignal = 0x08,
    cudaGraphNodeTypeExtSemaphoreWait = 0x09,
    cudaGraphNodeTypeMemAlloc = 0x0a,
    cudaGraphNodeTypeMemFree = 0x0b,
    cudaGraphNodeTypeCount
};




typedef struct CUgraphExec_st* cudaGraphExec_t;




enum __attribute__((device_builtin)) cudaGraphExecUpdateResult {
    cudaGraphExecUpdateSuccess = 0x0,
    cudaGraphExecUpdateError = 0x1,
    cudaGraphExecUpdateErrorTopologyChanged = 0x2,
    cudaGraphExecUpdateErrorNodeTypeChanged = 0x3,
    cudaGraphExecUpdateErrorFunctionChanged = 0x4,
    cudaGraphExecUpdateErrorParametersChanged = 0x5,
    cudaGraphExecUpdateErrorNotSupported = 0x6,
    cudaGraphExecUpdateErrorUnsupportedFunctionChange = 0x7
};





enum __attribute__((device_builtin)) cudaGetDriverEntryPointFlags {
    cudaEnableDefault = 0x0,
    cudaEnableLegacyStream = 0x1,
    cudaEnablePerThreadDefaultStream = 0x2
};




enum __attribute__((device_builtin)) cudaGraphDebugDotFlags {
    cudaGraphDebugDotFlagsVerbose = 1<<0,
    cudaGraphDebugDotFlagsKernelNodeParams = 1<<2,
    cudaGraphDebugDotFlagsMemcpyNodeParams = 1<<3,
    cudaGraphDebugDotFlagsMemsetNodeParams = 1<<4,
    cudaGraphDebugDotFlagsHostNodeParams = 1<<5,
    cudaGraphDebugDotFlagsEventNodeParams = 1<<6,
    cudaGraphDebugDotFlagsExtSemasSignalNodeParams = 1<<7,
    cudaGraphDebugDotFlagsExtSemasWaitNodeParams = 1<<8,
    cudaGraphDebugDotFlagsKernelNodeAttributes = 1<<9,
    cudaGraphDebugDotFlagsHandles = 1<<10
};




enum __attribute__((device_builtin)) cudaGraphInstantiateFlags {
    cudaGraphInstantiateFlagAutoFreeOnLaunch = 1
};
# 60 "/usr/include/builtin_types.h" 2 3 4


# 1 "/usr/include/surface_types.h" 1 3 4
# 84 "/usr/include/surface_types.h" 3 4
enum __attribute__((device_builtin)) cudaSurfaceBoundaryMode
{
    cudaBoundaryModeZero = 0,
    cudaBoundaryModeClamp = 1,
    cudaBoundaryModeTrap = 2
};




enum __attribute__((device_builtin)) cudaSurfaceFormatMode
{
    cudaFormatModeForced = 0,
    cudaFormatModeAuto = 1
};




struct __attribute__((device_builtin)) surfaceReference
{



    struct cudaChannelFormatDesc channelDesc;
};




typedef __attribute__((device_builtin)) unsigned long long cudaSurfaceObject_t;
# 63 "/usr/include/builtin_types.h" 2 3 4
# 1 "/usr/include/texture_types.h" 1 3 4
# 84 "/usr/include/texture_types.h" 3 4
enum __attribute__((device_builtin)) cudaTextureAddressMode
{
    cudaAddressModeWrap = 0,
    cudaAddressModeClamp = 1,
    cudaAddressModeMirror = 2,
    cudaAddressModeBorder = 3
};




enum __attribute__((device_builtin)) cudaTextureFilterMode
{
    cudaFilterModePoint = 0,
    cudaFilterModeLinear = 1
};




enum __attribute__((device_builtin)) cudaTextureReadMode
{
    cudaReadModeElementType = 0,
    cudaReadModeNormalizedFloat = 1
};




struct __attribute__((device_builtin)) textureReference
{



    int normalized;



    enum cudaTextureFilterMode filterMode;



    enum cudaTextureAddressMode addressMode[3];



    struct cudaChannelFormatDesc channelDesc;



    int sRGB;



    unsigned int maxAnisotropy;



    enum cudaTextureFilterMode mipmapFilterMode;



    float mipmapLevelBias;



    float minMipmapLevelClamp;



    float maxMipmapLevelClamp;



    int disableTrilinearOptimization;
    int __cudaReserved[14];
};




struct __attribute__((device_builtin)) cudaTextureDesc
{



    enum cudaTextureAddressMode addressMode[3];



    enum cudaTextureFilterMode filterMode;



    enum cudaTextureReadMode readMode;



    int sRGB;



    float borderColor[4];



    int normalizedCoords;



    unsigned int maxAnisotropy;



    enum cudaTextureFilterMode mipmapFilterMode;



    float mipmapLevelBias;



    float minMipmapLevelClamp;



    float maxMipmapLevelClamp;



    int disableTrilinearOptimization;
};




typedef __attribute__((device_builtin)) unsigned long long cudaTextureObject_t;
# 64 "/usr/include/builtin_types.h" 2 3 4
# 92 "/usr/include/cuda_runtime.h" 2 3 4
# 1 "/usr/include/library_types.h" 1 3 4
# 54 "/usr/include/library_types.h" 3 4
typedef enum cudaDataType_t
{
 CUDA_R_16F = 2,
 CUDA_C_16F = 6,
 CUDA_R_16BF = 14,
 CUDA_C_16BF = 15,
 CUDA_R_32F = 0,
 CUDA_C_32F = 4,
 CUDA_R_64F = 1,
 CUDA_C_64F = 5,
 CUDA_R_4I = 16,
 CUDA_C_4I = 17,
 CUDA_R_4U = 18,
 CUDA_C_4U = 19,
 CUDA_R_8I = 3,
 CUDA_C_8I = 7,
 CUDA_R_8U = 8,
 CUDA_C_8U = 9,
 CUDA_R_16I = 20,
 CUDA_C_16I = 21,
 CUDA_R_16U = 22,
 CUDA_C_16U = 23,
 CUDA_R_32I = 10,
 CUDA_C_32I = 11,
 CUDA_R_32U = 12,
 CUDA_C_32U = 13,
 CUDA_R_64I = 24,
 CUDA_C_64I = 25,
 CUDA_R_64U = 26,
 CUDA_C_64U = 27
} cudaDataType;


typedef enum libraryPropertyType_t
{
 MAJOR_VERSION,
 MINOR_VERSION,
 PATCH_LEVEL
} libraryPropertyType;
# 93 "/usr/include/cuda_runtime.h" 2 3 4


# 1 "/usr/include/channel_descriptor.h" 1 3 4
# 61 "/usr/include/channel_descriptor.h" 3 4
# 1 "/usr/include/cuda_runtime_api.h" 1 3 4
# 147 "/usr/include/cuda_runtime_api.h" 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 148 "/usr/include/cuda_runtime_api.h" 2 3 4

# 1 "/usr/include/builtin_types.h" 1 3 4
# 150 "/usr/include/cuda_runtime_api.h" 2 3 4

# 1 "/usr/include/cuda_device_runtime_api.h" 1 3 4
# 113 "/usr/include/cuda_device_runtime_api.h" 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 114 "/usr/include/cuda_device_runtime_api.h" 2 3 4

extern "C"
{
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetAttribute(int *value, enum cudaDeviceAttr attr, int device);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetLimit(size_t *pValue, enum cudaLimit limit);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetCacheConfig(enum cudaFuncCache *pCacheConfig);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetSharedMemConfig(enum cudaSharedMemConfig *pConfig);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceSynchronize(void);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaGetLastError(void);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaPeekAtLastError(void);
extern __attribute__((device)) __attribute__((cudart_builtin)) const char* cudaGetErrorString(cudaError_t error);
extern __attribute__((device)) __attribute__((cudart_builtin)) const char* cudaGetErrorName(cudaError_t error);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaGetDeviceCount(int *count);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaGetDevice(int *device);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaStreamCreateWithFlags(cudaStream_t *pStream, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaStreamDestroy(cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaStreamWaitEvent(cudaStream_t stream, cudaEvent_t event, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaStreamWaitEvent_ptsz(cudaStream_t stream, cudaEvent_t event, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaEventCreateWithFlags(cudaEvent_t *event, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaEventRecord(cudaEvent_t event, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaEventRecord_ptsz(cudaEvent_t event, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaEventRecordWithFlags(cudaEvent_t event, cudaStream_t stream, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaEventRecordWithFlags_ptsz(cudaEvent_t event, cudaStream_t stream, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaEventDestroy(cudaEvent_t event);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaFuncGetAttributes(struct cudaFuncAttributes *attr, const void *func);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaFree(void *devPtr);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMalloc(void **devPtr, size_t size);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpyAsync(void *dst, const void *src, size_t count, enum cudaMemcpyKind kind, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpyAsync_ptsz(void *dst, const void *src, size_t count, enum cudaMemcpyKind kind, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpy2DAsync(void *dst, size_t dpitch, const void *src, size_t spitch, size_t width, size_t height, enum cudaMemcpyKind kind, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpy2DAsync_ptsz(void *dst, size_t dpitch, const void *src, size_t spitch, size_t width, size_t height, enum cudaMemcpyKind kind, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpy3DAsync(const struct cudaMemcpy3DParms *p, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpy3DAsync_ptsz(const struct cudaMemcpy3DParms *p, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemsetAsync(void *devPtr, int value, size_t count, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemsetAsync_ptsz(void *devPtr, int value, size_t count, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemset2DAsync(void *devPtr, size_t pitch, int value, size_t width, size_t height, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemset2DAsync_ptsz(void *devPtr, size_t pitch, int value, size_t width, size_t height, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemset3DAsync(struct cudaPitchedPtr pitchedDevPtr, int value, struct cudaExtent extent, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMemset3DAsync_ptsz(struct cudaPitchedPtr pitchedDevPtr, int value, struct cudaExtent extent, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaRuntimeGetVersion(int *runtimeVersion);
# 174 "/usr/include/cuda_device_runtime_api.h" 3 4
extern __attribute__((device)) __attribute__((cudart_builtin)) void * cudaGetParameterBuffer(size_t alignment, size_t size);
# 202 "/usr/include/cuda_device_runtime_api.h" 3 4
extern __attribute__((device)) __attribute__((cudart_builtin)) void * cudaGetParameterBufferV2(void *func, dim3 gridDimension, dim3 blockDimension, unsigned int sharedMemSize);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaLaunchDevice_ptsz(void *func, void *parameterBuffer, dim3 gridDimension, dim3 blockDimension, unsigned int sharedMemSize, cudaStream_t stream);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaLaunchDeviceV2_ptsz(void *parameterBuffer, cudaStream_t stream);
# 222 "/usr/include/cuda_device_runtime_api.h" 3 4
    extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaLaunchDevice(void *func, void *parameterBuffer, dim3 gridDimension, dim3 blockDimension, unsigned int sharedMemSize, cudaStream_t stream);
    extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaLaunchDeviceV2(void *parameterBuffer, cudaStream_t stream);


extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessor(int *numBlocks, const void *func, int blockSize, size_t dynamicSmemSize);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessorWithFlags(int *numBlocks, const void *func, int blockSize, size_t dynamicSmemSize, unsigned int flags);

extern __attribute__((device)) __attribute__((cudart_builtin)) unsigned long long cudaCGGetIntrinsicHandle(enum cudaCGScope scope);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaCGSynchronize(unsigned long long handle, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaCGSynchronizeGrid(unsigned long long handle, unsigned int flags);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaCGGetSize(unsigned int *numThreads, unsigned int *numGrids, unsigned long long handle);
extern __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaCGGetRank(unsigned int *threadRank, unsigned int *gridRank, unsigned long long handle);
}

template <typename T> static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaMalloc(T **devPtr, size_t size);
template <typename T> static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaFuncGetAttributes(struct cudaFuncAttributes *attr, T *entry);
template <typename T> static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessor(int *numBlocks, T func, int blockSize, size_t dynamicSmemSize);
template <typename T> static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessorWithFlags(int *numBlocks, T func, int blockSize, size_t dynamicSmemSize, unsigned int flags);
# 152 "/usr/include/cuda_runtime_api.h" 2 3 4
# 266 "/usr/include/cuda_runtime_api.h" 3 4
extern "C" {
# 306 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceReset(void);
# 327 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceSynchronize(void);
# 414 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceSetLimit(enum cudaLimit limit, size_t value);
# 449 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetLimit(size_t *pValue, enum cudaLimit limit);
# 472 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetTexture1DLinearMaxWidth(size_t *maxWidthInElements, const struct cudaChannelFormatDesc *fmtDesc, int device);
# 506 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetCacheConfig(enum cudaFuncCache *pCacheConfig);
# 543 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetStreamPriorityRange(int *leastPriority, int *greatestPriority);
# 587 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceSetCacheConfig(enum cudaFuncCache cacheConfig);
# 618 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetSharedMemConfig(enum cudaSharedMemConfig *pConfig);
# 662 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceSetSharedMemConfig(enum cudaSharedMemConfig config);
# 689 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceGetByPCIBusId(int *device, const char *pciBusId);
# 719 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceGetPCIBusId(char *pciBusId, int len, int device);
# 767 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaIpcGetEventHandle(cudaIpcEventHandle_t *handle, cudaEvent_t event);
# 808 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaIpcOpenEventHandle(cudaEvent_t *event, cudaIpcEventHandle_t handle);
# 851 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaIpcGetMemHandle(cudaIpcMemHandle_t *handle, void *devPtr);
# 915 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaIpcOpenMemHandle(void **devPtr, cudaIpcMemHandle_t handle, unsigned int flags);
# 951 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaIpcCloseMemHandle(void *devPtr);
# 983 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceFlushGPUDirectRDMAWrites(enum cudaFlushGPUDirectRDMAWritesTarget target, enum cudaFlushGPUDirectRDMAWritesScope scope);
# 1027 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaThreadExit(void);
# 1053 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaThreadSynchronize(void);
# 1102 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaThreadSetLimit(enum cudaLimit limit, size_t value);
# 1135 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaThreadGetLimit(size_t *pValue, enum cudaLimit limit);
# 1171 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaThreadGetCacheConfig(enum cudaFuncCache *pCacheConfig);
# 1218 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaThreadSetCacheConfig(enum cudaFuncCache cacheConfig);
# 1281 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaGetLastError(void);
# 1329 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaPeekAtLastError(void);
# 1345 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) const char* cudaGetErrorName(cudaError_t error);
# 1361 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) const char* cudaGetErrorString(cudaError_t error);
# 1389 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaGetDeviceCount(int *count);
# 1667 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaGetDeviceProperties(struct cudaDeviceProp *prop, int device);
# 1868 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetAttribute(int *value, enum cudaDeviceAttr attr, int device);
# 1886 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceGetDefaultMemPool(cudaMemPool_t *memPool, int device);
# 1910 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceSetMemPool(int device, cudaMemPool_t memPool);
# 1930 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceGetMemPool(cudaMemPool_t *memPool, int device);
# 1978 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceGetNvSciSyncAttributes(void *nvSciSyncAttrList, int device, int flags);
# 2018 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaDeviceGetP2PAttribute(int *value, enum cudaDeviceP2PAttr attr, int srcDevice, int dstDevice);
# 2039 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaChooseDevice(int *device, const struct cudaDeviceProp *prop);
# 2080 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaSetDevice(int device);
# 2101 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaGetDevice(int *device);
# 2132 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaSetValidDevices(int *device_arr, int len);
# 2197 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaSetDeviceFlags( unsigned int flags );
# 2241 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetDeviceFlags( unsigned int *flags );
# 2281 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamCreate(cudaStream_t *pStream);
# 2313 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamCreateWithFlags(cudaStream_t *pStream, unsigned int flags);
# 2359 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamCreateWithPriority(cudaStream_t *pStream, unsigned int flags, int priority);
# 2386 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamGetPriority(cudaStream_t hStream, int *priority);
# 2411 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamGetFlags(cudaStream_t hStream, unsigned int *flags);
# 2426 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaCtxResetPersistingL2Cache(void);
# 2446 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamCopyAttributes(cudaStream_t dst, cudaStream_t src);
# 2467 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamGetAttribute(
        cudaStream_t hStream, enum cudaStreamAttrID attr,
        union cudaStreamAttrValue *value_out);
# 2491 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamSetAttribute(
        cudaStream_t hStream, enum cudaStreamAttrID attr,
        const union cudaStreamAttrValue *value);
# 2525 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamDestroy(cudaStream_t stream);
# 2556 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamWaitEvent(cudaStream_t stream, cudaEvent_t event, unsigned int flags = 0);







typedef void ( *cudaStreamCallback_t)(cudaStream_t stream, cudaError_t status, void *userData);
# 2631 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamAddCallback(cudaStream_t stream,
        cudaStreamCallback_t callback, void *userData, unsigned int flags);
# 2655 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamSynchronize(cudaStream_t stream);
# 2680 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamQuery(cudaStream_t stream);
# 2764 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaStreamAttachMemAsync(cudaStream_t stream, void *devPtr, size_t length = 0, unsigned int flags = 0x04);
# 2803 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamBeginCapture(cudaStream_t stream, enum cudaStreamCaptureMode mode);
# 2854 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaThreadExchangeStreamCaptureMode(enum cudaStreamCaptureMode *mode);
# 2882 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamEndCapture(cudaStream_t stream, cudaGraph_t *pGraph);
# 2920 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamIsCapturing(cudaStream_t stream, enum cudaStreamCaptureStatus *pCaptureStatus);
# 2952 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamGetCaptureInfo(cudaStream_t stream, enum cudaStreamCaptureStatus *pCaptureStatus, unsigned long long *pId);
# 3007 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamGetCaptureInfo_v2(cudaStream_t stream, enum cudaStreamCaptureStatus *captureStatus_out, unsigned long long *id_out = 0, cudaGraph_t *graph_out = 0, const cudaGraphNode_t **dependencies_out = 0, size_t *numDependencies_out = 0);
# 3040 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaStreamUpdateCaptureDependencies(cudaStream_t stream, cudaGraphNode_t *dependencies, size_t numDependencies, unsigned int flags = 0);
# 3077 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaEventCreate(cudaEvent_t *event);
# 3114 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaEventCreateWithFlags(cudaEvent_t *event, unsigned int flags);
# 3154 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaEventRecord(cudaEvent_t event, cudaStream_t stream = 0);
# 3201 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaEventRecordWithFlags(cudaEvent_t event, cudaStream_t stream = 0, unsigned int flags = 0);
# 3233 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaEventQuery(cudaEvent_t event);
# 3263 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaEventSynchronize(cudaEvent_t event);
# 3292 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaEventDestroy(cudaEvent_t event);
# 3335 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaEventElapsedTime(float *ms, cudaEvent_t start, cudaEvent_t end);
# 3515 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaImportExternalMemory(cudaExternalMemory_t *extMem_out, const struct cudaExternalMemoryHandleDesc *memHandleDesc);
# 3570 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaExternalMemoryGetMappedBuffer(void **devPtr, cudaExternalMemory_t extMem, const struct cudaExternalMemoryBufferDesc *bufferDesc);
# 3630 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaExternalMemoryGetMappedMipmappedArray(cudaMipmappedArray_t *mipmap, cudaExternalMemory_t extMem, const struct cudaExternalMemoryMipmappedArrayDesc *mipmapDesc);
# 3654 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDestroyExternalMemory(cudaExternalMemory_t extMem);
# 3807 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaImportExternalSemaphore(cudaExternalSemaphore_t *extSem_out, const struct cudaExternalSemaphoreHandleDesc *semHandleDesc);
# 3874 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaSignalExternalSemaphoresAsync_v2(const cudaExternalSemaphore_t *extSemArray, const struct cudaExternalSemaphoreSignalParams *paramsArray, unsigned int numExtSems, cudaStream_t stream = 0);
# 3950 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaWaitExternalSemaphoresAsync_v2(const cudaExternalSemaphore_t *extSemArray, const struct cudaExternalSemaphoreWaitParams *paramsArray, unsigned int numExtSems, cudaStream_t stream = 0);
# 3973 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDestroyExternalSemaphore(cudaExternalSemaphore_t extSem);
# 4040 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaLaunchKernel(const void *func, dim3 gridDim, dim3 blockDim, void **args, size_t sharedMem, cudaStream_t stream);
# 4097 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaLaunchCooperativeKernel(const void *func, dim3 gridDim, dim3 blockDim, void **args, size_t sharedMem, cudaStream_t stream);
# 4198 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaLaunchCooperativeKernelMultiDevice(struct cudaLaunchParams *launchParamsList, unsigned int numDevices, unsigned int flags = 0);
# 4245 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaFuncSetCacheConfig(const void *func, enum cudaFuncCache cacheConfig);
# 4300 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaFuncSetSharedMemConfig(const void *func, enum cudaSharedMemConfig config);
# 4333 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaFuncGetAttributes(struct cudaFuncAttributes *attr, const void *func);
# 4370 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaFuncSetAttribute(const void *func, enum cudaFuncAttribute attr, int value);
# 4396 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaSetDoubleForDevice(double *d);
# 4420 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaSetDoubleForHost(double *d);
# 4488 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaLaunchHostFunc(cudaStream_t stream, cudaHostFn_t fn, void *userData);
# 4545 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessor(int *numBlocks, const void *func, int blockSize, size_t dynamicSMemSize);
# 4574 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaOccupancyAvailableDynamicSMemPerBlock(size_t *dynamicSmemSize, const void *func, int numBlocks, int blockSize);
# 4619 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessorWithFlags(int *numBlocks, const void *func, int blockSize, size_t dynamicSMemSize, unsigned int flags);
# 4740 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMallocManaged(void **devPtr, size_t size, unsigned int flags = 0x01);
# 4773 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMalloc(void **devPtr, size_t size);
# 4806 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMallocHost(void **ptr, size_t size);
# 4849 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMallocPitch(void **devPtr, size_t *pitch, size_t width, size_t height);
# 4898 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMallocArray(cudaArray_t *array, const struct cudaChannelFormatDesc *desc, size_t width, size_t height = 0, unsigned int flags = 0);
# 4927 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaFree(void *devPtr);
# 4950 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaFreeHost(void *ptr);
# 4973 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaFreeArray(cudaArray_t array);
# 4996 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaFreeMipmappedArray(cudaMipmappedArray_t mipmappedArray);
# 5062 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaHostAlloc(void **pHost, size_t size, unsigned int flags);
# 5155 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaHostRegister(void *ptr, size_t size, unsigned int flags);
# 5178 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaHostUnregister(void *ptr);
# 5223 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaHostGetDevicePointer(void **pDevice, void *pHost, unsigned int flags);
# 5245 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaHostGetFlags(unsigned int *pFlags, void *pHost);
# 5284 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMalloc3D(struct cudaPitchedPtr* pitchedDevPtr, struct cudaExtent extent);
# 5426 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMalloc3DArray(cudaArray_t *array, const struct cudaChannelFormatDesc* desc, struct cudaExtent extent, unsigned int flags = 0);
# 5568 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMallocMipmappedArray(cudaMipmappedArray_t *mipmappedArray, const struct cudaChannelFormatDesc* desc, struct cudaExtent extent, unsigned int numLevels, unsigned int flags = 0);
# 5601 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetMipmappedArrayLevel(cudaArray_t *levelArray, cudaMipmappedArray_const_t mipmappedArray, unsigned int level);
# 5706 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy3D(const struct cudaMemcpy3DParms *p);
# 5737 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy3DPeer(const struct cudaMemcpy3DPeerParms *p);
# 5855 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpy3DAsync(const struct cudaMemcpy3DParms *p, cudaStream_t stream = 0);
# 5881 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy3DPeerAsync(const struct cudaMemcpy3DPeerParms *p, cudaStream_t stream = 0);
# 5904 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemGetInfo(size_t *free, size_t *total);
# 5930 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaArrayGetInfo(struct cudaChannelFormatDesc *desc, struct cudaExtent *extent, unsigned int *flags, cudaArray_t array);
# 5959 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaArrayGetPlane(cudaArray_t *pPlaneArray, cudaArray_t hArray, unsigned int planeIdx);
# 5987 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaArrayGetSparseProperties(struct cudaArraySparseProperties *sparseProperties, cudaArray_t array);
# 6017 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaMipmappedArrayGetSparseProperties(struct cudaArraySparseProperties *sparseProperties, cudaMipmappedArray_t mipmap);
# 6062 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy(void *dst, const void *src, size_t count, enum cudaMemcpyKind kind);
# 6097 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpyPeer(void *dst, int dstDevice, const void *src, int srcDevice, size_t count);
# 6146 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy2D(void *dst, size_t dpitch, const void *src, size_t spitch, size_t width, size_t height, enum cudaMemcpyKind kind);
# 6196 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy2DToArray(cudaArray_t dst, size_t wOffset, size_t hOffset, const void *src, size_t spitch, size_t width, size_t height, enum cudaMemcpyKind kind);
# 6246 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy2DFromArray(void *dst, size_t dpitch, cudaArray_const_t src, size_t wOffset, size_t hOffset, size_t width, size_t height, enum cudaMemcpyKind kind);
# 6293 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy2DArrayToArray(cudaArray_t dst, size_t wOffsetDst, size_t hOffsetDst, cudaArray_const_t src, size_t wOffsetSrc, size_t hOffsetSrc, size_t width, size_t height, enum cudaMemcpyKind kind = cudaMemcpyDeviceToDevice);
# 6336 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpyToSymbol(const void *symbol, const void *src, size_t count, size_t offset = 0, enum cudaMemcpyKind kind = cudaMemcpyHostToDevice);
# 6379 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpyFromSymbol(void *dst, const void *symbol, size_t count, size_t offset = 0, enum cudaMemcpyKind kind = cudaMemcpyDeviceToHost);
# 6436 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpyAsync(void *dst, const void *src, size_t count, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 6471 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpyPeerAsync(void *dst, int dstDevice, const void *src, int srcDevice, size_t count, cudaStream_t stream = 0);
# 6534 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMemcpy2DAsync(void *dst, size_t dpitch, const void *src, size_t spitch, size_t width, size_t height, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 6592 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy2DToArrayAsync(cudaArray_t dst, size_t wOffset, size_t hOffset, const void *src, size_t spitch, size_t width, size_t height, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 6649 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpy2DFromArrayAsync(void *dst, size_t dpitch, cudaArray_const_t src, size_t wOffset, size_t hOffset, size_t width, size_t height, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 6700 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpyToSymbolAsync(const void *symbol, const void *src, size_t count, size_t offset, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 6751 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemcpyFromSymbolAsync(void *dst, const void *symbol, size_t count, size_t offset, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 6780 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemset(void *devPtr, int value, size_t count);
# 6814 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemset2D(void *devPtr, size_t pitch, int value, size_t width, size_t height);
# 6860 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemset3D(struct cudaPitchedPtr pitchedDevPtr, int value, struct cudaExtent extent);
# 6896 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMemsetAsync(void *devPtr, int value, size_t count, cudaStream_t stream = 0);
# 6937 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMemset2DAsync(void *devPtr, size_t pitch, int value, size_t width, size_t height, cudaStream_t stream = 0);
# 6990 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaMemset3DAsync(struct cudaPitchedPtr pitchedDevPtr, int value, struct cudaExtent extent, cudaStream_t stream = 0);
# 7018 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetSymbolAddress(void **devPtr, const void *symbol);
# 7045 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetSymbolSize(size_t *size, const void *symbol);
# 7115 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPrefetchAsync(const void *devPtr, size_t count, int dstDevice, cudaStream_t stream = 0);
# 7231 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemAdvise(const void *devPtr, size_t count, enum cudaMemoryAdvise advice, int device);
# 7290 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemRangeGetAttribute(void *data, size_t dataSize, enum cudaMemRangeAttribute attribute, const void *devPtr, size_t count);
# 7329 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemRangeGetAttributes(void **data, size_t *dataSizes, enum cudaMemRangeAttribute *attributes, size_t numAttributes, const void *devPtr, size_t count);
# 7389 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaMemcpyToArray(cudaArray_t dst, size_t wOffset, size_t hOffset, const void *src, size_t count, enum cudaMemcpyKind kind);
# 7431 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaMemcpyFromArray(void *dst, cudaArray_const_t src, size_t wOffset, size_t hOffset, size_t count, enum cudaMemcpyKind kind);
# 7474 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaMemcpyArrayToArray(cudaArray_t dst, size_t wOffsetDst, size_t hOffsetDst, cudaArray_const_t src, size_t wOffsetSrc, size_t hOffsetSrc, size_t count, enum cudaMemcpyKind kind = cudaMemcpyDeviceToDevice);
# 7525 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaMemcpyToArrayAsync(cudaArray_t dst, size_t wOffset, size_t hOffset, const void *src, size_t count, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 7575 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaMemcpyFromArrayAsync(void *dst, cudaArray_const_t src, size_t wOffset, size_t hOffset, size_t count, enum cudaMemcpyKind kind, cudaStream_t stream = 0);
# 7644 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMallocAsync(void **devPtr, size_t size, cudaStream_t hStream);
# 7670 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaFreeAsync(void *devPtr, cudaStream_t hStream);
# 7695 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolTrimTo(cudaMemPool_t memPool, size_t minBytesToKeep);
# 7733 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolSetAttribute(cudaMemPool_t memPool, enum cudaMemPoolAttr attr, void *value );
# 7771 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolGetAttribute(cudaMemPool_t memPool, enum cudaMemPoolAttr attr, void *value );
# 7786 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolSetAccess(cudaMemPool_t memPool, const struct cudaMemAccessDesc *descList, size_t count);
# 7799 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolGetAccess(enum cudaMemAccessFlags *flags, cudaMemPool_t memPool, struct cudaMemLocation *location);
# 7819 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolCreate(cudaMemPool_t *memPool, const struct cudaMemPoolProps *poolProps);
# 7841 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolDestroy(cudaMemPool_t memPool);
# 7877 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMallocFromPoolAsync(void **ptr, size_t size, cudaMemPool_t memPool, cudaStream_t stream);
# 7902 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolExportToShareableHandle(
    void *shareableHandle,
    cudaMemPool_t memPool,
    enum cudaMemAllocationHandleType handleType,
    unsigned int flags);
# 7929 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolImportFromShareableHandle(
    cudaMemPool_t *memPool,
    void *shareableHandle,
    enum cudaMemAllocationHandleType handleType,
    unsigned int flags);
# 7952 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolExportPointer(struct cudaMemPoolPtrExportData *exportData, void *ptr);
# 7981 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaMemPoolImportPointer(void **ptr, cudaMemPool_t memPool, struct cudaMemPoolPtrExportData *exportData);
# 8133 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaPointerGetAttributes(struct cudaPointerAttributes *attributes, const void *ptr);
# 8174 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceCanAccessPeer(int *canAccessPeer, int device, int peerDevice);
# 8216 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceEnablePeerAccess(int peerDevice, unsigned int flags);
# 8238 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceDisablePeerAccess(int peerDevice);
# 8302 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphicsUnregisterResource(cudaGraphicsResource_t resource);
# 8337 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphicsResourceSetMapFlags(cudaGraphicsResource_t resource, unsigned int flags);
# 8376 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphicsMapResources(int count, cudaGraphicsResource_t *resources, cudaStream_t stream = 0);
# 8411 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphicsUnmapResources(int count, cudaGraphicsResource_t *resources, cudaStream_t stream = 0);
# 8443 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphicsResourceGetMappedPointer(void **devPtr, size_t *size, cudaGraphicsResource_t resource);
# 8481 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphicsSubResourceGetMappedArray(cudaArray_t *array, cudaGraphicsResource_t resource, unsigned int arrayIndex, unsigned int mipLevel);
# 8510 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphicsResourceGetMappedMipmappedArray(cudaMipmappedArray_t *mipmappedArray, cudaGraphicsResource_t resource);
# 8581 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaBindTexture(size_t *offset, const struct textureReference *texref, const void *devPtr, const struct cudaChannelFormatDesc *desc, size_t size = (0x7fffffff * 2U + 1U));
# 8640 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaBindTexture2D(size_t *offset, const struct textureReference *texref, const void *devPtr, const struct cudaChannelFormatDesc *desc, size_t width, size_t height, size_t pitch);
# 8678 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaBindTextureToArray(const struct textureReference *texref, cudaArray_const_t array, const struct cudaChannelFormatDesc *desc);
# 8718 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaBindTextureToMipmappedArray(const struct textureReference *texref, cudaMipmappedArray_const_t mipmappedArray, const struct cudaChannelFormatDesc *desc);
# 8744 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaUnbindTexture(const struct textureReference *texref);
# 8773 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaGetTextureAlignmentOffset(size_t *offset, const struct textureReference *texref);
# 8803 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaGetTextureReference(const struct textureReference **texref, const void *symbol);
# 8848 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaBindSurfaceToArray(const struct surfaceReference *surfref, cudaArray_const_t array, const struct cudaChannelFormatDesc *desc);
# 8873 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((deprecated)) __attribute__((host)) cudaError_t cudaGetSurfaceReference(const struct surfaceReference **surfref, const void *symbol);
# 8908 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetChannelDesc(struct cudaChannelFormatDesc *desc, cudaArray_const_t array);
# 8938 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) struct cudaChannelFormatDesc cudaCreateChannelDesc(int x, int y, int z, int w, enum cudaChannelFormatKind f);
# 9156 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaCreateTextureObject(cudaTextureObject_t *pTexObject, const struct cudaResourceDesc *pResDesc, const struct cudaTextureDesc *pTexDesc, const struct cudaResourceViewDesc *pResViewDesc);
# 9176 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDestroyTextureObject(cudaTextureObject_t texObject);
# 9196 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetTextureObjectResourceDesc(struct cudaResourceDesc *pResDesc, cudaTextureObject_t texObject);
# 9216 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetTextureObjectTextureDesc(struct cudaTextureDesc *pTexDesc, cudaTextureObject_t texObject);
# 9237 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetTextureObjectResourceViewDesc(struct cudaResourceViewDesc *pResViewDesc, cudaTextureObject_t texObject);
# 9282 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaCreateSurfaceObject(cudaSurfaceObject_t *pSurfObject, const struct cudaResourceDesc *pResDesc);
# 9302 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDestroySurfaceObject(cudaSurfaceObject_t surfObject);
# 9321 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetSurfaceObjectResourceDesc(struct cudaResourceDesc *pResDesc, cudaSurfaceObject_t surfObject);
# 9355 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDriverGetVersion(int *driverVersion);
# 9380 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) __attribute__((cudart_builtin)) cudaError_t cudaRuntimeGetVersion(int *runtimeVersion);
# 9427 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphCreate(cudaGraph_t *pGraph, unsigned int flags);
# 9524 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddKernelNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, const struct cudaKernelNodeParams *pNodeParams);
# 9557 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphKernelNodeGetParams(cudaGraphNode_t node, struct cudaKernelNodeParams *pNodeParams);
# 9582 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphKernelNodeSetParams(cudaGraphNode_t node, const struct cudaKernelNodeParams *pNodeParams);
# 9602 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphKernelNodeCopyAttributes(
        cudaGraphNode_t hSrc,
        cudaGraphNode_t hDst);
# 9625 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphKernelNodeGetAttribute(
    cudaGraphNode_t hNode,
    enum cudaKernelNodeAttrID attr,
    union cudaKernelNodeAttrValue *value_out);
# 9649 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphKernelNodeSetAttribute(
    cudaGraphNode_t hNode,
    enum cudaKernelNodeAttrID attr,
    const union cudaKernelNodeAttrValue *value);
# 9699 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddMemcpyNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, const struct cudaMemcpy3DParms *pCopyParams);
# 9758 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphAddMemcpyNodeToSymbol(
    cudaGraphNode_t *pGraphNode,
    cudaGraph_t graph,
    const cudaGraphNode_t *pDependencies,
    size_t numDependencies,
    const void* symbol,
    const void* src,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind);
# 9827 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphAddMemcpyNodeFromSymbol(
    cudaGraphNode_t* pGraphNode,
    cudaGraph_t graph,
    const cudaGraphNode_t* pDependencies,
    size_t numDependencies,
    void* dst,
    const void* symbol,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind);
# 9895 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphAddMemcpyNode1D(
    cudaGraphNode_t *pGraphNode,
    cudaGraph_t graph,
    const cudaGraphNode_t *pDependencies,
    size_t numDependencies,
    void* dst,
    const void* src,
    size_t count,
    enum cudaMemcpyKind kind);
# 9927 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphMemcpyNodeGetParams(cudaGraphNode_t node, struct cudaMemcpy3DParms *pNodeParams);
# 9953 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphMemcpyNodeSetParams(cudaGraphNode_t node, const struct cudaMemcpy3DParms *pNodeParams);
# 9992 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphMemcpyNodeSetParamsToSymbol(
    cudaGraphNode_t node,
    const void* symbol,
    const void* src,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind);
# 10038 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphMemcpyNodeSetParamsFromSymbol(
    cudaGraphNode_t node,
    void* dst,
    const void* symbol,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind);
# 10084 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphMemcpyNodeSetParams1D(
    cudaGraphNode_t node,
    void* dst,
    const void* src,
    size_t count,
    enum cudaMemcpyKind kind);
# 10131 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddMemsetNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, const struct cudaMemsetParams *pMemsetParams);
# 10154 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphMemsetNodeGetParams(cudaGraphNode_t node, struct cudaMemsetParams *pNodeParams);
# 10177 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphMemsetNodeSetParams(cudaGraphNode_t node, const struct cudaMemsetParams *pNodeParams);
# 10218 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddHostNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, const struct cudaHostNodeParams *pNodeParams);
# 10241 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphHostNodeGetParams(cudaGraphNode_t node, struct cudaHostNodeParams *pNodeParams);
# 10264 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphHostNodeSetParams(cudaGraphNode_t node, const struct cudaHostNodeParams *pNodeParams);
# 10304 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddChildGraphNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, cudaGraph_t childGraph);
# 10331 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphChildGraphNodeGetGraph(cudaGraphNode_t node, cudaGraph_t *pGraph);
# 10368 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddEmptyNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies);
# 10411 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphAddEventRecordNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, cudaEvent_t event);
# 10438 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphEventRecordNodeGetEvent(cudaGraphNode_t node, cudaEvent_t *event_out);
# 10465 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphEventRecordNodeSetEvent(cudaGraphNode_t node, cudaEvent_t event);
# 10511 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphAddEventWaitNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, cudaEvent_t event);
# 10538 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphEventWaitNodeGetEvent(cudaGraphNode_t node, cudaEvent_t *event_out);
# 10565 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphEventWaitNodeSetEvent(cudaGraphNode_t node, cudaEvent_t event);
# 10614 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddExternalSemaphoresSignalNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, const struct cudaExternalSemaphoreSignalNodeParams *nodeParams);
# 10647 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExternalSemaphoresSignalNodeGetParams(cudaGraphNode_t hNode, struct cudaExternalSemaphoreSignalNodeParams *params_out);
# 10674 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExternalSemaphoresSignalNodeSetParams(cudaGraphNode_t hNode, const struct cudaExternalSemaphoreSignalNodeParams *nodeParams);
# 10723 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddExternalSemaphoresWaitNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, const struct cudaExternalSemaphoreWaitNodeParams *nodeParams);
# 10756 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExternalSemaphoresWaitNodeGetParams(cudaGraphNode_t hNode, struct cudaExternalSemaphoreWaitNodeParams *params_out);
# 10783 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExternalSemaphoresWaitNodeSetParams(cudaGraphNode_t hNode, const struct cudaExternalSemaphoreWaitNodeParams *nodeParams);
# 10860 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddMemAllocNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, struct cudaMemAllocNodeParams *nodeParams);
# 10887 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphMemAllocNodeGetParams(cudaGraphNode_t node, struct cudaMemAllocNodeParams *params_out);
# 10947 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddMemFreeNode(cudaGraphNode_t *pGraphNode, cudaGraph_t graph, const cudaGraphNode_t *pDependencies, size_t numDependencies, void *dptr);
# 10971 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphMemFreeNodeGetParams(cudaGraphNode_t node, void *dptr_out);
# 10999 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceGraphMemTrim(int device);
# 11036 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceGetGraphMemAttribute(int device, enum cudaGraphMemAttributeType attr, void* value);
# 11070 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaDeviceSetGraphMemAttribute(int device, enum cudaGraphMemAttributeType attr, void* value);
# 11098 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphClone(cudaGraph_t *pGraphClone, cudaGraph_t originalGraph);
# 11126 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphNodeFindInClone(cudaGraphNode_t *pNode, cudaGraphNode_t originalNode, cudaGraph_t clonedGraph);
# 11157 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphNodeGetType(cudaGraphNode_t node, enum cudaGraphNodeType *pType);
# 11188 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphGetNodes(cudaGraph_t graph, cudaGraphNode_t *nodes, size_t *numNodes);
# 11219 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphGetRootNodes(cudaGraph_t graph, cudaGraphNode_t *pRootNodes, size_t *pNumRootNodes);
# 11253 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphGetEdges(cudaGraph_t graph, cudaGraphNode_t *from, cudaGraphNode_t *to, size_t *numEdges);
# 11284 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphNodeGetDependencies(cudaGraphNode_t node, cudaGraphNode_t *pDependencies, size_t *pNumDependencies);
# 11316 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphNodeGetDependentNodes(cudaGraphNode_t node, cudaGraphNode_t *pDependentNodes, size_t *pNumDependentNodes);
# 11347 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphAddDependencies(cudaGraph_t graph, const cudaGraphNode_t *from, const cudaGraphNode_t *to, size_t numDependencies);
# 11378 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphRemoveDependencies(cudaGraph_t graph, const cudaGraphNode_t *from, const cudaGraphNode_t *to, size_t numDependencies);
# 11408 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphDestroyNode(cudaGraphNode_t node);
# 11446 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphInstantiate(cudaGraphExec_t *pGraphExec, cudaGraph_t graph, cudaGraphNode_t *pErrorNode, char *pLogBuffer, size_t bufferSize);
# 11489 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphInstantiateWithFlags(cudaGraphExec_t *pGraphExec, cudaGraph_t graph, unsigned long long flags);
# 11533 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecKernelNodeSetParams(cudaGraphExec_t hGraphExec, cudaGraphNode_t node, const struct cudaKernelNodeParams *pNodeParams);
# 11583 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecMemcpyNodeSetParams(cudaGraphExec_t hGraphExec, cudaGraphNode_t node, const struct cudaMemcpy3DParms *pNodeParams);
# 11638 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphExecMemcpyNodeSetParamsToSymbol(
    cudaGraphExec_t hGraphExec,
    cudaGraphNode_t node,
    const void* symbol,
    const void* src,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind);
# 11701 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphExecMemcpyNodeSetParamsFromSymbol(
    cudaGraphExec_t hGraphExec,
    cudaGraphNode_t node,
    void* dst,
    const void* symbol,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind);
# 11762 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphExecMemcpyNodeSetParams1D(
    cudaGraphExec_t hGraphExec,
    cudaGraphNode_t node,
    void* dst,
    const void* src,
    size_t count,
    enum cudaMemcpyKind kind);
# 11816 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecMemsetNodeSetParams(cudaGraphExec_t hGraphExec, cudaGraphNode_t node, const struct cudaMemsetParams *pNodeParams);
# 11855 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecHostNodeSetParams(cudaGraphExec_t hGraphExec, cudaGraphNode_t node, const struct cudaHostNodeParams *pNodeParams);
# 11901 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphExecChildGraphNodeSetParams(cudaGraphExec_t hGraphExec, cudaGraphNode_t node, cudaGraph_t childGraph);
# 11945 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphExecEventRecordNodeSetEvent(cudaGraphExec_t hGraphExec, cudaGraphNode_t hNode, cudaEvent_t event);
# 11989 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphExecEventWaitNodeSetEvent(cudaGraphExec_t hGraphExec, cudaGraphNode_t hNode, cudaEvent_t event);
# 12036 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecExternalSemaphoresSignalNodeSetParams(cudaGraphExec_t hGraphExec, cudaGraphNode_t hNode, const struct cudaExternalSemaphoreSignalNodeParams *nodeParams);
# 12083 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecExternalSemaphoresWaitNodeSetParams(cudaGraphExec_t hGraphExec, cudaGraphNode_t hNode, const struct cudaExternalSemaphoreWaitNodeParams *nodeParams);
# 12158 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecUpdate(cudaGraphExec_t hGraphExec, cudaGraph_t hGraph, cudaGraphNode_t *hErrorNode_out, enum cudaGraphExecUpdateResult *updateResult_out);
# 12183 "/usr/include/cuda_runtime_api.h" 3 4
 extern __attribute__((host)) cudaError_t cudaGraphUpload(cudaGraphExec_t graphExec, cudaStream_t stream);
# 12214 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphLaunch(cudaGraphExec_t graphExec, cudaStream_t stream);
# 12237 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphExecDestroy(cudaGraphExec_t graphExec);
# 12258 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphDestroy(cudaGraph_t graph);
# 12277 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphDebugDotPrint(cudaGraph_t graph, const char *path, unsigned int flags);
# 12313 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaUserObjectCreate(cudaUserObject_t *object_out, void *ptr, cudaHostFn_t destroy, unsigned int initialRefcount, unsigned int flags);
# 12337 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaUserObjectRetain(cudaUserObject_t object, unsigned int count = 1);
# 12365 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaUserObjectRelease(cudaUserObject_t object, unsigned int count = 1);
# 12393 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphRetainUserObject(cudaGraph_t graph, cudaUserObject_t object, unsigned int count = 1, unsigned int flags = 0);
# 12418 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGraphReleaseUserObject(cudaGraph_t graph, cudaUserObject_t object, unsigned int count = 1);
# 12484 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetDriverEntryPoint(const char *symbol, void **funcPtr, unsigned long long flags);




extern __attribute__((host)) cudaError_t cudaGetExportTable(const void **ppExportTable, const cudaUUID_t *pExportTableId);
# 12665 "/usr/include/cuda_runtime_api.h" 3 4
extern __attribute__((host)) cudaError_t cudaGetFuncBySymbol(cudaFunction_t* functionPtr, const void* symbolPtr);
# 12807 "/usr/include/cuda_runtime_api.h" 3 4
}
# 62 "/usr/include/channel_descriptor.h" 2 3 4
# 124 "/usr/include/channel_descriptor.h" 3 4
template<class T> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc(void)
{
  return cudaCreateChannelDesc(0, 0, 0, 0, cudaChannelFormatKindNone);
}

static __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDescHalf(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindFloat);
}

static __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDescHalf1(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindFloat);
}

static __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDescHalf2(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindFloat);
}

static __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDescHalf4(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindFloat);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<char>(void)
{
  int e = (int)sizeof(char) * 8;




  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindSigned);

}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<signed char>(void)
{
  int e = (int)sizeof(signed char) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<unsigned char>(void)
{
  int e = (int)sizeof(unsigned char) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<char1>(void)
{
  int e = (int)sizeof(signed char) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<uchar1>(void)
{
  int e = (int)sizeof(unsigned char) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<char2>(void)
{
  int e = (int)sizeof(signed char) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<uchar2>(void)
{
  int e = (int)sizeof(unsigned char) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<char4>(void)
{
  int e = (int)sizeof(signed char) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<uchar4>(void)
{
  int e = (int)sizeof(unsigned char) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<short>(void)
{
  int e = (int)sizeof(short) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<unsigned short>(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<short1>(void)
{
  int e = (int)sizeof(short) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<ushort1>(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<short2>(void)
{
  int e = (int)sizeof(short) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<ushort2>(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<short4>(void)
{
  int e = (int)sizeof(short) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<ushort4>(void)
{
  int e = (int)sizeof(unsigned short) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<int>(void)
{
  int e = (int)sizeof(int) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<unsigned int>(void)
{
  int e = (int)sizeof(unsigned int) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<int1>(void)
{
  int e = (int)sizeof(int) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<uint1>(void)
{
  int e = (int)sizeof(unsigned int) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<int2>(void)
{
  int e = (int)sizeof(int) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<uint2>(void)
{
  int e = (int)sizeof(unsigned int) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindUnsigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<int4>(void)
{
  int e = (int)sizeof(int) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindSigned);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<uint4>(void)
{
  int e = (int)sizeof(unsigned int) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindUnsigned);
}
# 396 "/usr/include/channel_descriptor.h" 3 4
template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<float>(void)
{
  int e = (int)sizeof(float) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindFloat);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<float1>(void)
{
  int e = (int)sizeof(float) * 8;

  return cudaCreateChannelDesc(e, 0, 0, 0, cudaChannelFormatKindFloat);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<float2>(void)
{
  int e = (int)sizeof(float) * 8;

  return cudaCreateChannelDesc(e, e, 0, 0, cudaChannelFormatKindFloat);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<float4>(void)
{
  int e = (int)sizeof(float) * 8;

  return cudaCreateChannelDesc(e, e, e, e, cudaChannelFormatKindFloat);
}

static __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDescNV12(void)
{
    int e = (int)sizeof(char) * 8;

    return cudaCreateChannelDesc(e, e, e, 0, cudaChannelFormatKindNV12);
}

template<cudaChannelFormatKind> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc(void)
{
    return cudaCreateChannelDesc(0, 0, 0, 0, cudaChannelFormatKindNone);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedNormalized8X1>(void)
{
    return cudaCreateChannelDesc(8, 0, 0, 0, cudaChannelFormatKindSignedNormalized8X1);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedNormalized8X2>(void)
{
    return cudaCreateChannelDesc(8, 8, 0, 0, cudaChannelFormatKindSignedNormalized8X2);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedNormalized8X4>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindSignedNormalized8X4);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedNormalized8X1>(void)
{
    return cudaCreateChannelDesc(8, 0, 0, 0, cudaChannelFormatKindUnsignedNormalized8X1);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedNormalized8X2>(void)
{
    return cudaCreateChannelDesc(8, 8, 0, 0, cudaChannelFormatKindUnsignedNormalized8X2);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedNormalized8X4>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedNormalized8X4);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedNormalized16X1>(void)
{
    return cudaCreateChannelDesc(16, 0, 0, 0, cudaChannelFormatKindSignedNormalized16X1);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedNormalized16X2>(void)
{
    return cudaCreateChannelDesc(16, 16, 0, 0, cudaChannelFormatKindSignedNormalized16X2);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedNormalized16X4>(void)
{
    return cudaCreateChannelDesc(16, 16, 16, 16, cudaChannelFormatKindSignedNormalized16X4);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedNormalized16X1>(void)
{
    return cudaCreateChannelDesc(16, 0, 0, 0, cudaChannelFormatKindUnsignedNormalized16X1);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedNormalized16X2>(void)
{
    return cudaCreateChannelDesc(16, 16, 0, 0, cudaChannelFormatKindUnsignedNormalized16X2);
}

template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedNormalized16X4>(void)
{
    return cudaCreateChannelDesc(16, 16, 16, 16, cudaChannelFormatKindUnsignedNormalized16X4);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindNV12>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 0, cudaChannelFormatKindNV12);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed1>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed1);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed1SRGB>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed1SRGB);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed2>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed2);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed2SRGB>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed2SRGB);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed3>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed3);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed3SRGB>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed3SRGB);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed4>(void)
{
    return cudaCreateChannelDesc(8, 0, 0, 0, cudaChannelFormatKindUnsignedBlockCompressed4);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedBlockCompressed4>(void)
{
    return cudaCreateChannelDesc(8, 0, 0, 0, cudaChannelFormatKindSignedBlockCompressed4);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed5>(void)
{
    return cudaCreateChannelDesc(8, 8, 0, 0, cudaChannelFormatKindUnsignedBlockCompressed5);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedBlockCompressed5>(void)
{
    return cudaCreateChannelDesc(8, 8, 0, 0, cudaChannelFormatKindSignedBlockCompressed5);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed6H>(void)
{
    return cudaCreateChannelDesc(16, 16, 16, 0, cudaChannelFormatKindUnsignedBlockCompressed6H);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindSignedBlockCompressed6H>(void)
{
    return cudaCreateChannelDesc(16, 16, 16, 0, cudaChannelFormatKindSignedBlockCompressed6H);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed7>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed7);
}


template<> __inline__ __attribute__((host)) cudaChannelFormatDesc cudaCreateChannelDesc<cudaChannelFormatKindUnsignedBlockCompressed7SRGB>(void)
{
    return cudaCreateChannelDesc(8, 8, 8, 8, cudaChannelFormatKindUnsignedBlockCompressed7SRGB);
}
# 96 "/usr/include/cuda_runtime.h" 2 3 4

# 1 "/usr/include/driver_functions.h" 1 3 4
# 53 "/usr/include/driver_functions.h" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 54 "/usr/include/driver_functions.h" 2 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 55 "/usr/include/driver_functions.h" 2 3 4
# 79 "/usr/include/driver_functions.h" 3 4
static __inline__ __attribute__((host)) struct cudaPitchedPtr make_cudaPitchedPtr(void *d, size_t p, size_t xsz, size_t ysz)
{
  struct cudaPitchedPtr s;

  s.ptr = d;
  s.pitch = p;
  s.xsize = xsz;
  s.ysize = ysz;

  return s;
}
# 106 "/usr/include/driver_functions.h" 3 4
static __inline__ __attribute__((host)) struct cudaPos make_cudaPos(size_t x, size_t y, size_t z)
{
  struct cudaPos p;

  p.x = x;
  p.y = y;
  p.z = z;

  return p;
}
# 132 "/usr/include/driver_functions.h" 3 4
static __inline__ __attribute__((host)) struct cudaExtent make_cudaExtent(size_t w, size_t h, size_t d)
{
  struct cudaExtent e;

  e.width = w;
  e.height = h;
  e.depth = d;

  return e;
}
# 98 "/usr/include/cuda_runtime.h" 2 3 4


# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 101 "/usr/include/cuda_runtime.h" 2 3 4
# 1 "/usr/include/vector_functions.h" 1 3 4
# 73 "/usr/include/vector_functions.h" 3 4
static __inline__ __attribute__((host)) __attribute__((device)) char1 make_char1(signed char x);

static __inline__ __attribute__((host)) __attribute__((device)) uchar1 make_uchar1(unsigned char x);

static __inline__ __attribute__((host)) __attribute__((device)) char2 make_char2(signed char x, signed char y);

static __inline__ __attribute__((host)) __attribute__((device)) uchar2 make_uchar2(unsigned char x, unsigned char y);

static __inline__ __attribute__((host)) __attribute__((device)) char3 make_char3(signed char x, signed char y, signed char z);

static __inline__ __attribute__((host)) __attribute__((device)) uchar3 make_uchar3(unsigned char x, unsigned char y, unsigned char z);

static __inline__ __attribute__((host)) __attribute__((device)) char4 make_char4(signed char x, signed char y, signed char z, signed char w);

static __inline__ __attribute__((host)) __attribute__((device)) uchar4 make_uchar4(unsigned char x, unsigned char y, unsigned char z, unsigned char w);

static __inline__ __attribute__((host)) __attribute__((device)) short1 make_short1(short x);

static __inline__ __attribute__((host)) __attribute__((device)) ushort1 make_ushort1(unsigned short x);

static __inline__ __attribute__((host)) __attribute__((device)) short2 make_short2(short x, short y);

static __inline__ __attribute__((host)) __attribute__((device)) ushort2 make_ushort2(unsigned short x, unsigned short y);

static __inline__ __attribute__((host)) __attribute__((device)) short3 make_short3(short x,short y, short z);

static __inline__ __attribute__((host)) __attribute__((device)) ushort3 make_ushort3(unsigned short x, unsigned short y, unsigned short z);

static __inline__ __attribute__((host)) __attribute__((device)) short4 make_short4(short x, short y, short z, short w);

static __inline__ __attribute__((host)) __attribute__((device)) ushort4 make_ushort4(unsigned short x, unsigned short y, unsigned short z, unsigned short w);

static __inline__ __attribute__((host)) __attribute__((device)) int1 make_int1(int x);

static __inline__ __attribute__((host)) __attribute__((device)) uint1 make_uint1(unsigned int x);

static __inline__ __attribute__((host)) __attribute__((device)) int2 make_int2(int x, int y);

static __inline__ __attribute__((host)) __attribute__((device)) uint2 make_uint2(unsigned int x, unsigned int y);

static __inline__ __attribute__((host)) __attribute__((device)) int3 make_int3(int x, int y, int z);

static __inline__ __attribute__((host)) __attribute__((device)) uint3 make_uint3(unsigned int x, unsigned int y, unsigned int z);

static __inline__ __attribute__((host)) __attribute__((device)) int4 make_int4(int x, int y, int z, int w);

static __inline__ __attribute__((host)) __attribute__((device)) uint4 make_uint4(unsigned int x, unsigned int y, unsigned int z, unsigned int w);

static __inline__ __attribute__((host)) __attribute__((device)) long1 make_long1(long int x);

static __inline__ __attribute__((host)) __attribute__((device)) ulong1 make_ulong1(unsigned long int x);

static __inline__ __attribute__((host)) __attribute__((device)) long2 make_long2(long int x, long int y);

static __inline__ __attribute__((host)) __attribute__((device)) ulong2 make_ulong2(unsigned long int x, unsigned long int y);

static __inline__ __attribute__((host)) __attribute__((device)) long3 make_long3(long int x, long int y, long int z);

static __inline__ __attribute__((host)) __attribute__((device)) ulong3 make_ulong3(unsigned long int x, unsigned long int y, unsigned long int z);

static __inline__ __attribute__((host)) __attribute__((device)) long4 make_long4(long int x, long int y, long int z, long int w);

static __inline__ __attribute__((host)) __attribute__((device)) ulong4 make_ulong4(unsigned long int x, unsigned long int y, unsigned long int z, unsigned long int w);

static __inline__ __attribute__((host)) __attribute__((device)) float1 make_float1(float x);

static __inline__ __attribute__((host)) __attribute__((device)) float2 make_float2(float x, float y);

static __inline__ __attribute__((host)) __attribute__((device)) float3 make_float3(float x, float y, float z);

static __inline__ __attribute__((host)) __attribute__((device)) float4 make_float4(float x, float y, float z, float w);

static __inline__ __attribute__((host)) __attribute__((device)) longlong1 make_longlong1(long long int x);

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong1 make_ulonglong1(unsigned long long int x);

static __inline__ __attribute__((host)) __attribute__((device)) longlong2 make_longlong2(long long int x, long long int y);

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong2 make_ulonglong2(unsigned long long int x, unsigned long long int y);

static __inline__ __attribute__((host)) __attribute__((device)) longlong3 make_longlong3(long long int x, long long int y, long long int z);

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong3 make_ulonglong3(unsigned long long int x, unsigned long long int y, unsigned long long int z);

static __inline__ __attribute__((host)) __attribute__((device)) longlong4 make_longlong4(long long int x, long long int y, long long int z, long long int w);

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong4 make_ulonglong4(unsigned long long int x, unsigned long long int y, unsigned long long int z, unsigned long long int w);

static __inline__ __attribute__((host)) __attribute__((device)) double1 make_double1(double x);

static __inline__ __attribute__((host)) __attribute__((device)) double2 make_double2(double x, double y);

static __inline__ __attribute__((host)) __attribute__((device)) double3 make_double3(double x, double y, double z);

static __inline__ __attribute__((host)) __attribute__((device)) double4 make_double4(double x, double y, double z, double w);




# 1 "/usr/include/vector_functions.hpp" 1 3 4
# 73 "/usr/include/vector_functions.hpp" 3 4
static __inline__ __attribute__((host)) __attribute__((device)) char1 make_char1(signed char x)
{
  char1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uchar1 make_uchar1(unsigned char x)
{
  uchar1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) char2 make_char2(signed char x, signed char y)
{
  char2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uchar2 make_uchar2(unsigned char x, unsigned char y)
{
  uchar2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) char3 make_char3(signed char x, signed char y, signed char z)
{
  char3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uchar3 make_uchar3(unsigned char x, unsigned char y, unsigned char z)
{
  uchar3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) char4 make_char4(signed char x, signed char y, signed char z, signed char w)
{
  char4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uchar4 make_uchar4(unsigned char x, unsigned char y, unsigned char z, unsigned char w)
{
  uchar4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) short1 make_short1(short x)
{
  short1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ushort1 make_ushort1(unsigned short x)
{
  ushort1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) short2 make_short2(short x, short y)
{
  short2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ushort2 make_ushort2(unsigned short x, unsigned short y)
{
  ushort2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) short3 make_short3(short x,short y, short z)
{
  short3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ushort3 make_ushort3(unsigned short x, unsigned short y, unsigned short z)
{
  ushort3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) short4 make_short4(short x, short y, short z, short w)
{
  short4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ushort4 make_ushort4(unsigned short x, unsigned short y, unsigned short z, unsigned short w)
{
  ushort4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) int1 make_int1(int x)
{
  int1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uint1 make_uint1(unsigned int x)
{
  uint1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) int2 make_int2(int x, int y)
{
  int2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uint2 make_uint2(unsigned int x, unsigned int y)
{
  uint2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) int3 make_int3(int x, int y, int z)
{
  int3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uint3 make_uint3(unsigned int x, unsigned int y, unsigned int z)
{
  uint3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) int4 make_int4(int x, int y, int z, int w)
{
  int4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) uint4 make_uint4(unsigned int x, unsigned int y, unsigned int z, unsigned int w)
{
  uint4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) long1 make_long1(long int x)
{
  long1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulong1 make_ulong1(unsigned long int x)
{
  ulong1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) long2 make_long2(long int x, long int y)
{
  long2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulong2 make_ulong2(unsigned long int x, unsigned long int y)
{
  ulong2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) long3 make_long3(long int x, long int y, long int z)
{
  long3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulong3 make_ulong3(unsigned long int x, unsigned long int y, unsigned long int z)
{
  ulong3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) long4 make_long4(long int x, long int y, long int z, long int w)
{
  long4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulong4 make_ulong4(unsigned long int x, unsigned long int y, unsigned long int z, unsigned long int w)
{
  ulong4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) float1 make_float1(float x)
{
  float1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) float2 make_float2(float x, float y)
{
  float2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) float3 make_float3(float x, float y, float z)
{
  float3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) float4 make_float4(float x, float y, float z, float w)
{
  float4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) longlong1 make_longlong1(long long int x)
{
  longlong1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong1 make_ulonglong1(unsigned long long int x)
{
  ulonglong1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) longlong2 make_longlong2(long long int x, long long int y)
{
  longlong2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong2 make_ulonglong2(unsigned long long int x, unsigned long long int y)
{
  ulonglong2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) longlong3 make_longlong3(long long int x, long long int y, long long int z)
{
  longlong3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong3 make_ulonglong3(unsigned long long int x, unsigned long long int y, unsigned long long int z)
{
  ulonglong3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) longlong4 make_longlong4(long long int x, long long int y, long long int z, long long int w)
{
  longlong4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) ulonglong4 make_ulonglong4(unsigned long long int x, unsigned long long int y, unsigned long long int z, unsigned long long int w)
{
  ulonglong4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) double1 make_double1(double x)
{
  double1 t; t.x = x; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) double2 make_double2(double x, double y)
{
  double2 t; t.x = x; t.y = y; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) double3 make_double3(double x, double y, double z)
{
  double3 t; t.x = x; t.y = y; t.z = z; return t;
}

static __inline__ __attribute__((host)) __attribute__((device)) double4 make_double4(double x, double y, double z, double w)
{
  double4 t; t.x = x; t.y = y; t.z = z; t.w = w; return t;
}
# 173 "/usr/include/vector_functions.h" 2 3 4
# 102 "/usr/include/cuda_runtime.h" 2 3 4
# 115 "/usr/include/cuda_runtime.h" 3 4
# 1 "/usr/include/crt/common_functions.h" 1 3 4
# 71 "/usr/include/crt/common_functions.h" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 72 "/usr/include/crt/common_functions.h" 2 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 73 "/usr/include/crt/common_functions.h" 2 3 4
# 85 "/usr/include/crt/common_functions.h" 3 4
# 1 "/usr/include/string.h" 1 3 4
# 26 "/usr/include/string.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/string.h" 2 3 4

extern "C" {




# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 34 "/usr/include/string.h" 2 3 4
# 43 "/usr/include/string.h" 3 4
extern void *memcpy (void *__restrict __dest, const void *__restrict __src,
       size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern void *memmove (void *__dest, const void *__src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));





extern void *memccpy (void *__restrict __dest, const void *__restrict __src,
        int __c, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 4)));




extern void *memset (void *__s, int __c, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int memcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 80 "/usr/include/string.h" 3 4
extern int __memcmpeq (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



extern "C++"
{
extern void *memchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const void *memchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 105 "/usr/include/string.h" 3 4
}
# 115 "/usr/include/string.h" 3 4
extern "C++" void *rawmemchr (void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const void *rawmemchr (const void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));







extern "C++" void *memrchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
extern "C++" const void *memrchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
# 141 "/usr/include/string.h" 3 4
extern char *strcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern char *strcat (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncat (char *__restrict __dest, const char *__restrict __src,
        size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int strcmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int strncmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strcoll (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern size_t strxfrm (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 1, 3)));



# 1 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/types/__locale_t.h" 3 4
struct __locale_struct
{

  struct __locale_data *__locales[13];


  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;


  const char *__names[13];
};

typedef struct __locale_struct *__locale_t;
# 23 "/usr/include/x86_64-linux-gnu/bits/types/locale_t.h" 2 3 4

typedef __locale_t locale_t;
# 173 "/usr/include/string.h" 2 3 4


extern int strcoll_l (const char *__s1, const char *__s2, locale_t __l)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));


extern size_t strxfrm_l (char *__dest, const char *__src, size_t __n,
    locale_t __l) noexcept (true) __attribute__ ((__nonnull__ (2, 4)))
     __attribute__ ((__access__ (__write_only__, 1, 3)));





extern char *strdup (const char *__s)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));






extern char *strndup (const char *__string, size_t __n)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));
# 224 "/usr/include/string.h" 3 4
extern "C++"
{
extern char *strchr (char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strchr (const char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 244 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strrchr (char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strrchr (const char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 271 "/usr/include/string.h" 3 4
}
# 281 "/usr/include/string.h" 3 4
extern "C++" char *strchrnul (char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const char *strchrnul (const char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 293 "/usr/include/string.h" 3 4
extern size_t strcspn (const char *__s, const char *__reject)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern size_t strspn (const char *__s, const char *__accept)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern "C++"
{
extern char *strpbrk (char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strpbrk (const char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 321 "/usr/include/string.h" 3 4
}






extern "C++"
{
extern char *strstr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strstr (const char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 348 "/usr/include/string.h" 3 4
}







extern char *strtok (char *__restrict __s, const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (2)));



extern char *__strtok_r (char *__restrict __s,
    const char *__restrict __delim,
    char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));

extern char *strtok_r (char *__restrict __s, const char *__restrict __delim,
         char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));





extern "C++" char *strcasestr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern "C++" const char *strcasestr (const char *__haystack,
         const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 389 "/usr/include/string.h" 3 4
extern void *memmem (const void *__haystack, size_t __haystacklen,
       const void *__needle, size_t __needlelen)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 3)))
    __attribute__ ((__access__ (__read_only__, 1, 2)))
    __attribute__ ((__access__ (__read_only__, 3, 4)));



extern void *__mempcpy (void *__restrict __dest,
   const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern void *mempcpy (void *__restrict __dest,
        const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlen (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern size_t strnlen (const char *__string, size_t __maxlen)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern char *strerror (int __errnum) noexcept (true);
# 444 "/usr/include/string.h" 3 4
extern char *strerror_r (int __errnum, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));




extern const char *strerrordesc_np (int __err) noexcept (true);

extern const char *strerrorname_np (int __err) noexcept (true);





extern char *strerror_l (int __errnum, locale_t __l) noexcept (true);



# 1 "/usr/include/strings.h" 1 3 4
# 23 "/usr/include/strings.h" 3 4
# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 24 "/usr/include/strings.h" 2 3 4






extern "C" {



extern int bcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern void bcopy (const void *__src, void *__dest, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern void bzero (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));



extern "C++"
{
extern char *index (char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *index (const char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 66 "/usr/include/strings.h" 3 4
}







extern "C++"
{
extern char *rindex (char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *rindex (const char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 94 "/usr/include/strings.h" 3 4
}
# 104 "/usr/include/strings.h" 3 4
extern int ffs (int __i) noexcept (true) __attribute__ ((__const__));





extern int ffsl (long int __l) noexcept (true) __attribute__ ((__const__));
__extension__ extern int ffsll (long long int __ll)
     noexcept (true) __attribute__ ((__const__));



extern int strcasecmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strncasecmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));






extern int strcasecmp_l (const char *__s1, const char *__s2, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));



extern int strncasecmp_l (const char *__s1, const char *__s2,
     size_t __n, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 4)));


}
# 463 "/usr/include/string.h" 2 3 4



extern void explicit_bzero (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__write_only__, 1, 2)));



extern char *strsep (char **__restrict __stringp,
       const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern char *strsignal (int __sig) noexcept (true);



extern const char *sigabbrev_np (int __sig) noexcept (true);


extern const char *sigdescr_np (int __sig) noexcept (true);



extern char *__stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));



extern char *__stpncpy (char *__restrict __dest,
   const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern int strverscmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern char *strfry (char *__string) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void *memfrob (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__read_write__, 1, 2)));







extern "C++" char *basename (char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
extern "C++" const char *basename (const char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
# 539 "/usr/include/string.h" 3 4
}
# 86 "/usr/include/crt/common_functions.h" 2 3 4
# 1 "/usr/include/time.h" 1 3 4
# 29 "/usr/include/time.h" 3 4
# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 30 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/time.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 28 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 1 3 4
# 19 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/timesize.h" 2 3 4
# 29 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


typedef unsigned char __u_char;
typedef unsigned short int __u_short;
typedef unsigned int __u_int;
typedef unsigned long int __u_long;


typedef signed char __int8_t;
typedef unsigned char __uint8_t;
typedef signed short int __int16_t;
typedef unsigned short int __uint16_t;
typedef signed int __int32_t;
typedef unsigned int __uint32_t;

typedef signed long int __int64_t;
typedef unsigned long int __uint64_t;






typedef __int8_t __int_least8_t;
typedef __uint8_t __uint_least8_t;
typedef __int16_t __int_least16_t;
typedef __uint16_t __uint_least16_t;
typedef __int32_t __int_least32_t;
typedef __uint32_t __uint_least32_t;
typedef __int64_t __int_least64_t;
typedef __uint64_t __uint_least64_t;



typedef long int __quad_t;
typedef unsigned long int __u_quad_t;







typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 141 "/usr/include/x86_64-linux-gnu/bits/types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/typesizes.h" 1 3 4
# 142 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/time64.h" 1 3 4
# 143 "/usr/include/x86_64-linux-gnu/bits/types.h" 2 3 4


typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned long int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;
typedef long int __suseconds64_t;

typedef int __daddr_t;
typedef int __key_t;


typedef int __clockid_t;


typedef void * __timer_t;


typedef long int __blksize_t;




typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;


typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;


typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;


typedef long int __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;
# 27 "/usr/include/x86_64-linux-gnu/bits/time.h" 2 3 4
# 73 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/timex.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/timex.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timeval.h" 1 3 4







struct timeval
{




  __time_t tv_sec;
  __suseconds_t tv_usec;

};
# 23 "/usr/include/x86_64-linux-gnu/bits/timex.h" 2 3 4



struct timex
{
# 58 "/usr/include/x86_64-linux-gnu/bits/timex.h" 3 4
  unsigned int modes;
  __syscall_slong_t offset;
  __syscall_slong_t freq;
  __syscall_slong_t maxerror;
  __syscall_slong_t esterror;
  int status;
  __syscall_slong_t constant;
  __syscall_slong_t precision;
  __syscall_slong_t tolerance;
  struct timeval time;
  __syscall_slong_t tick;
  __syscall_slong_t ppsfreq;
  __syscall_slong_t jitter;
  int shift;
  __syscall_slong_t stabil;
  __syscall_slong_t jitcnt;
  __syscall_slong_t calcnt;
  __syscall_slong_t errcnt;
  __syscall_slong_t stbcnt;

  int tai;


  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32;

};
# 74 "/usr/include/x86_64-linux-gnu/bits/time.h" 2 3 4

extern "C" {


extern int clock_adjtime (__clockid_t __clock_id, struct timex *__utx) noexcept (true);
# 90 "/usr/include/x86_64-linux-gnu/bits/time.h" 3 4
}
# 34 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/types/clock_t.h" 1 3 4






typedef __clock_t clock_t;
# 38 "/usr/include/time.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/time_t.h" 1 3 4
# 10 "/usr/include/x86_64-linux-gnu/bits/types/time_t.h" 3 4
typedef __time_t time_t;
# 39 "/usr/include/time.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_tm.h" 1 3 4






struct tm
{
  int tm_sec;
  int tm_min;
  int tm_hour;
  int tm_mday;
  int tm_mon;
  int tm_year;
  int tm_wday;
  int tm_yday;
  int tm_isdst;


  long int tm_gmtoff;
  const char *tm_zone;




};
# 40 "/usr/include/time.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 1 3 4





# 1 "/usr/include/x86_64-linux-gnu/bits/endian.h" 1 3 4
# 35 "/usr/include/x86_64-linux-gnu/bits/endian.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/endianness.h" 1 3 4
# 36 "/usr/include/x86_64-linux-gnu/bits/endian.h" 2 3 4
# 7 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 2 3 4




struct timespec
{



  __time_t tv_sec;




  __syscall_slong_t tv_nsec;
# 31 "/usr/include/x86_64-linux-gnu/bits/types/struct_timespec.h" 3 4
};
# 43 "/usr/include/time.h" 2 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/types/clockid_t.h" 1 3 4






typedef __clockid_t clockid_t;
# 47 "/usr/include/time.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/timer_t.h" 1 3 4






typedef __timer_t timer_t;
# 48 "/usr/include/time.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/types/struct_itimerspec.h" 1 3 4







struct itimerspec
  {
    struct timespec it_interval;
    struct timespec it_value;
  };
# 49 "/usr/include/time.h" 2 3 4
struct sigevent;




typedef __pid_t pid_t;
# 68 "/usr/include/time.h" 3 4
extern "C" {



extern clock_t clock (void) noexcept (true);



extern time_t time (time_t *__timer) noexcept (true);


extern double difftime (time_t __time1, time_t __time0)
     noexcept (true) __attribute__ ((__const__));


extern time_t mktime (struct tm *__tp) noexcept (true);
# 100 "/usr/include/time.h" 3 4
extern size_t strftime (char *__restrict __s, size_t __maxsize,
   const char *__restrict __format,
   const struct tm *__restrict __tp) noexcept (true);




extern char *strptime (const char *__restrict __s,
         const char *__restrict __fmt, struct tm *__tp)
     noexcept (true);






extern size_t strftime_l (char *__restrict __s, size_t __maxsize,
     const char *__restrict __format,
     const struct tm *__restrict __tp,
     locale_t __loc) noexcept (true);



extern char *strptime_l (const char *__restrict __s,
    const char *__restrict __fmt, struct tm *__tp,
    locale_t __loc) noexcept (true);






extern struct tm *gmtime (const time_t *__timer) noexcept (true);



extern struct tm *localtime (const time_t *__timer) noexcept (true);
# 154 "/usr/include/time.h" 3 4
extern struct tm *gmtime_r (const time_t *__restrict __timer,
       struct tm *__restrict __tp) noexcept (true);



extern struct tm *localtime_r (const time_t *__restrict __timer,
          struct tm *__restrict __tp) noexcept (true);
# 179 "/usr/include/time.h" 3 4
extern char *asctime (const struct tm *__tp) noexcept (true);



extern char *ctime (const time_t *__timer) noexcept (true);
# 197 "/usr/include/time.h" 3 4
extern char *asctime_r (const struct tm *__restrict __tp,
   char *__restrict __buf) noexcept (true);



extern char *ctime_r (const time_t *__restrict __timer,
        char *__restrict __buf) noexcept (true);
# 217 "/usr/include/time.h" 3 4
extern char *__tzname[2];
extern int __daylight;
extern long int __timezone;




extern char *tzname[2];



extern void tzset (void) noexcept (true);



extern int daylight;
extern long int timezone;
# 249 "/usr/include/time.h" 3 4
extern time_t timegm (struct tm *__tp) noexcept (true);

extern time_t timelocal (struct tm *__tp) noexcept (true);
# 262 "/usr/include/time.h" 3 4
extern int dysize (int __year) noexcept (true) __attribute__ ((__const__));
# 272 "/usr/include/time.h" 3 4
extern int nanosleep (const struct timespec *__requested_time,
        struct timespec *__remaining);


extern int clock_getres (clockid_t __clock_id, struct timespec *__res) noexcept (true);


extern int clock_gettime (clockid_t __clock_id, struct timespec *__tp) noexcept (true);


extern int clock_settime (clockid_t __clock_id, const struct timespec *__tp)
     noexcept (true);
# 311 "/usr/include/time.h" 3 4
extern int clock_nanosleep (clockid_t __clock_id, int __flags,
       const struct timespec *__req,
       struct timespec *__rem);
# 326 "/usr/include/time.h" 3 4
extern int clock_getcpuclockid (pid_t __pid, clockid_t *__clock_id) noexcept (true);




extern int timer_create (clockid_t __clock_id,
    struct sigevent *__restrict __evp,
    timer_t *__restrict __timerid) noexcept (true);


extern int timer_delete (timer_t __timerid) noexcept (true);



extern int timer_settime (timer_t __timerid, int __flags,
     const struct itimerspec *__restrict __value,
     struct itimerspec *__restrict __ovalue) noexcept (true);


extern int timer_gettime (timer_t __timerid, struct itimerspec *__value)
     noexcept (true);
# 364 "/usr/include/time.h" 3 4
extern int timer_getoverrun (timer_t __timerid) noexcept (true);






extern int timespec_get (struct timespec *__ts, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 387 "/usr/include/time.h" 3 4
extern int timespec_getres (struct timespec *__ts, int __base)
     noexcept (true);
# 413 "/usr/include/time.h" 3 4
extern int getdate_err;
# 422 "/usr/include/time.h" 3 4
extern struct tm *getdate (const char *__string);
# 436 "/usr/include/time.h" 3 4
extern int getdate_r (const char *__restrict __string,
        struct tm *__restrict __resbufp);


}
# 87 "/usr/include/crt/common_functions.h" 2 3 4

extern "C"
{

extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) clock_t clock(void)



noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) void* memset(void*, int, size_t) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) void* memcpy(void*, const void*, size_t) noexcept (true);

}
# 303 "/usr/include/crt/common_functions.h" 3 4
# 1 "/usr/include/crt/math_functions.h" 1 3 4
# 106 "/usr/include/crt/math_functions.h" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 107 "/usr/include/crt/math_functions.h" 2 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 108 "/usr/include/crt/math_functions.h" 2 3 4







extern "C"
{
# 213 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) int abs(int a) noexcept (true);







extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) long int labs(long int a) noexcept (true);







extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) long long int llabs(long long int a) noexcept (true);
# 279 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double fabs(double x) noexcept (true);
# 320 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float fabsf(float x) noexcept (true);
# 330 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int min(const int a, const int b);






extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) unsigned int umin(const unsigned int a, const unsigned int b);






extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long long int llmin(const long long int a, const long long int b);






extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) unsigned long long int ullmin(const unsigned long long int a, const unsigned long long int b);
# 372 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float fminf(float x, float y) noexcept (true);
# 392 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double fmin(double x, double y) noexcept (true);
# 405 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int max(const int a, const int b);







extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) unsigned int umax(const unsigned int a, const unsigned int b);






extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long long int llmax(const long long int a, const long long int b);






extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) unsigned long long int ullmax(const unsigned long long int a, const unsigned long long int b);
# 448 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float fmaxf(float x, float y) noexcept (true);
# 468 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double fmax(double, double) noexcept (true);
# 512 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double sin(double x) noexcept (true);
# 545 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double cos(double x) noexcept (true);
# 564 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) void sincos(double x, double *sptr, double *cptr) noexcept (true);
# 580 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) void sincosf(float x, float *sptr, float *cptr) noexcept (true);
# 625 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double tan(double x) noexcept (true);
# 694 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double sqrt(double x) noexcept (true);
# 766 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double rsqrt(double x);
# 836 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float rsqrtf(float x);
# 892 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double log2(double x) noexcept (true);
# 917 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double exp2(double x) noexcept (true);
# 942 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float exp2f(float x) noexcept (true);
# 969 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double exp10(double x) noexcept (true);
# 992 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float exp10f(float x) noexcept (true);
# 1038 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double expm1(double x) noexcept (true);
# 1083 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float expm1f(float x) noexcept (true);
# 1139 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float log2f(float x) noexcept (true);
# 1193 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double log10(double x) noexcept (true);
# 1264 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double log(double x) noexcept (true);
# 1367 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double log1p(double x) noexcept (true);
# 1473 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float log1pf(float x) noexcept (true);
# 1537 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double floor(double x) noexcept (true);
# 1576 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double exp(double x) noexcept (true);
# 1607 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double cosh(double x) noexcept (true);
# 1657 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double sinh(double x) noexcept (true);
# 1687 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double tanh(double x) noexcept (true);
# 1722 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double acosh(double x) noexcept (true);
# 1760 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float acoshf(float x) noexcept (true);
# 1813 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double asinh(double x) noexcept (true);
# 1865 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float asinhf(float x) noexcept (true);
# 1919 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double atanh(double x) noexcept (true);
# 1973 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float atanhf(float x) noexcept (true);
# 2032 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double ldexp(double x, int exp) noexcept (true);
# 2088 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float ldexpf(float x, int exp) noexcept (true);
# 2140 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double logb(double x) noexcept (true);
# 2195 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float logbf(float x) noexcept (true);
# 2226 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int ilogb(double x) noexcept (true);
# 2257 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int ilogbf(float x) noexcept (true);
# 2333 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double scalbn(double x, int n) noexcept (true);
# 2409 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float scalbnf(float x, int n) noexcept (true);
# 2485 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double scalbln(double x, long int n) noexcept (true);
# 2561 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float scalblnf(float x, long int n) noexcept (true);
# 2639 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double frexp(double x, int *nptr) noexcept (true);
# 2714 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float frexpf(float x, int *nptr) noexcept (true);
# 2728 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double round(double x) noexcept (true);
# 2745 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float roundf(float x) noexcept (true);
# 2763 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long int lround(double x) noexcept (true);
# 2781 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long int lroundf(float x) noexcept (true);
# 2799 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long long int llround(double x) noexcept (true);
# 2817 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long long int llroundf(float x) noexcept (true);
# 2869 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float rintf(float x) noexcept (true);
# 2886 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long int lrint(double x) noexcept (true);
# 2903 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long int lrintf(float x) noexcept (true);
# 2920 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long long int llrint(double x) noexcept (true);
# 2937 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) long long int llrintf(float x) noexcept (true);
# 2990 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double nearbyint(double x) noexcept (true);
# 3043 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float nearbyintf(float x) noexcept (true);
# 3105 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double ceil(double x) noexcept (true);
# 3117 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double trunc(double x) noexcept (true);
# 3132 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float truncf(float x) noexcept (true);
# 3158 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double fdim(double x, double y) noexcept (true);
# 3184 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float fdimf(float x, float y) noexcept (true);
# 3220 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double atan2(double y, double x) noexcept (true);
# 3251 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double atan(double x) noexcept (true);
# 3274 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double acos(double x) noexcept (true);
# 3306 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double asin(double x) noexcept (true);
# 3352 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double hypot(double x, double y) noexcept (true);
# 3404 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double rhypot(double x, double y) noexcept (true);
# 3450 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float hypotf(float x, float y) noexcept (true);
# 3502 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float rhypotf(float x, float y) noexcept (true);
# 3546 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double norm3d(double a, double b, double c) noexcept (true);
# 3597 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double rnorm3d(double a, double b, double c) noexcept (true);
# 3646 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double norm4d(double a, double b, double c, double d) noexcept (true);
# 3702 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double rnorm4d(double a, double b, double c, double d) noexcept (true);
# 3747 "/usr/include/crt/math_functions.h" 3 4
extern "C++" __attribute__((device)) __attribute__((device_builtin)) double norm(int dim, double const * t) noexcept (true);
# 3798 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double rnorm(int dim, double const * t) noexcept (true);
# 3850 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float rnormf(int dim, float const * a) noexcept (true);
# 3894 "/usr/include/crt/math_functions.h" 3 4
extern "C++" __attribute__((device)) __attribute__((device_builtin)) float normf(int dim, float const * a) noexcept (true);
# 3939 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float norm3df(float a, float b, float c) noexcept (true);
# 3990 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float rnorm3df(float a, float b, float c) noexcept (true);
# 4039 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float norm4df(float a, float b, float c, float d) noexcept (true);
# 4095 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float rnorm4df(float a, float b, float c, float d) noexcept (true);
# 4182 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double cbrt(double x) noexcept (true);
# 4268 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float cbrtf(float x) noexcept (true);
# 4323 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double rcbrt(double x);
# 4373 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float rcbrtf(float x);
# 4433 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double sinpi(double x);
# 4493 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float sinpif(float x);
# 4545 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double cospi(double x);
# 4597 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float cospif(float x);
# 4627 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) void sincospi(double x, double *sptr, double *cptr);
# 4657 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) void sincospif(float x, float *sptr, float *cptr);
# 4990 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double pow(double x, double y) noexcept (true);
# 5046 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double modf(double x, double *iptr) noexcept (true);
# 5105 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double fmod(double x, double y) noexcept (true);
# 5191 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double remainder(double x, double y) noexcept (true);
# 5281 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float remainderf(float x, float y) noexcept (true);
# 5335 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double remquo(double x, double y, int *quo) noexcept (true);
# 5389 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float remquof(float x, float y, int *quo) noexcept (true);
# 5430 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double j0(double x) noexcept (true);
# 5472 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float j0f(float x) noexcept (true);
# 5541 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double j1(double x) noexcept (true);
# 5610 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float j1f(float x) noexcept (true);
# 5653 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double jn(int n, double x) noexcept (true);
# 5696 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float jnf(int n, float x) noexcept (true);
# 5748 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double y0(double x) noexcept (true);
# 5800 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float y0f(float x) noexcept (true);
# 5852 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double y1(double x) noexcept (true);
# 5904 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float y1f(float x) noexcept (true);
# 5957 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double yn(int n, double x) noexcept (true);
# 6010 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float ynf(int n, float x) noexcept (true);
# 6037 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double cyl_bessel_i0(double x) noexcept (true);
# 6063 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float cyl_bessel_i0f(float x) noexcept (true);
# 6090 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double cyl_bessel_i1(double x) noexcept (true);
# 6116 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float cyl_bessel_i1f(float x) noexcept (true);
# 6199 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double erf(double x) noexcept (true);
# 6281 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float erff(float x) noexcept (true);
# 6345 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double erfinv(double y);
# 6402 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float erfinvf(float y);
# 6441 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double erfc(double x) noexcept (true);
# 6479 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float erfcf(float x) noexcept (true);
# 6606 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double lgamma(double x) noexcept (true);
# 6669 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double erfcinv(double y);
# 6725 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float erfcinvf(float y);
# 6783 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double normcdfinv(double y);
# 6841 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float normcdfinvf(float y);
# 6884 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double normcdf(double y);
# 6927 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float normcdff(float y);
# 7002 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double erfcx(double x);
# 7077 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float erfcxf(float x);
# 7210 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float lgammaf(float x) noexcept (true);
# 7319 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double tgamma(double x) noexcept (true);
# 7428 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float tgammaf(float x) noexcept (true);
# 7441 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double copysign(double x, double y) noexcept (true);
# 7454 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float copysignf(float x, float y) noexcept (true);
# 7473 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double nextafter(double x, double y) noexcept (true);
# 7492 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float nextafterf(float x, float y) noexcept (true);
# 7508 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double nan(const char *tagp) noexcept (true);
# 7524 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float nanf(const char *tagp) noexcept (true);






extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __isinff(float) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __isnanf(float) noexcept (true);
# 7542 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __finite(double) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __finitef(float) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __signbit(double) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __isnan(double) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __isinf(double) noexcept (true);


extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __signbitf(float) noexcept (true);
# 7708 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) double fma(double x, double y, double z) noexcept (true);
# 7866 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float fmaf(float x, float y, float z) noexcept (true);
# 7877 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __signbitl(long double) noexcept (true);





extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __finitel(long double) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __isinfl(long double) noexcept (true);
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) int __isnanl(long double) noexcept (true);
# 7935 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float acosf(float x) noexcept (true);
# 7975 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float asinf(float x) noexcept (true);
# 8015 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float atanf(float x) noexcept (true);
# 8048 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float atan2f(float y, float x) noexcept (true);
# 8072 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float cosf(float x) noexcept (true);
# 8114 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float sinf(float x) noexcept (true);
# 8156 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float tanf(float x) noexcept (true);
# 8187 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float coshf(float x) noexcept (true);
# 8237 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float sinhf(float x) noexcept (true);
# 8267 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float tanhf(float x) noexcept (true);
# 8319 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float logf(float x) noexcept (true);
# 8369 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float expf(float x) noexcept (true);
# 8421 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float log10f(float x) noexcept (true);
# 8476 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float modff(float x, float *iptr) noexcept (true);
# 8806 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float powf(float x, float y) noexcept (true);
# 8875 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float sqrtf(float x) noexcept (true);
# 8934 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float ceilf(float x) noexcept (true);
# 8995 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float floorf(float x) noexcept (true);
# 9053 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((device_builtin)) float fmodf(float x, float y) noexcept (true);
# 9068 "/usr/include/crt/math_functions.h" 3 4
}


# 1 "/usr/include/c++/11/math.h" 1 3 4
# 36 "/usr/include/c++/11/math.h" 3 4
# 1 "/usr/include/c++/11/cmath" 1 3 4
# 39 "/usr/include/c++/11/cmath" 3 4
       
# 40 "/usr/include/c++/11/cmath" 3

# 1 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 1 3
# 278 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;

}
# 300 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
# 586 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
# 1 "/usr/include/x86_64-linux-gnu/c++/11/bits/os_defines.h" 1 3
# 587 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 2 3


# 1 "/usr/include/x86_64-linux-gnu/c++/11/bits/cpu_defines.h" 1 3
# 590 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 2 3
# 777 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 3
# 1 "/usr/include/c++/11/pstl/pstl_config.h" 1 3
# 778 "/usr/include/x86_64-linux-gnu/c++/11/bits/c++config.h" 2 3
# 42 "/usr/include/c++/11/cmath" 2 3
# 1 "/usr/include/c++/11/bits/cpp_type_traits.h" 1 3
# 35 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
       
# 36 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
# 67 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
extern "C++" {

namespace std __attribute__ ((__visibility__ ("default")))
{


  struct __true_type { };
  struct __false_type { };

  template<bool>
    struct __truth_type
    { typedef __false_type __type; };

  template<>
    struct __truth_type<true>
    { typedef __true_type __type; };



  template<class _Sp, class _Tp>
    struct __traitor
    {
      enum { __value = bool(_Sp::__value) || bool(_Tp::__value) };
      typedef typename __truth_type<__value>::__type __type;
    };


  template<typename, typename>
    struct __are_same
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<typename _Tp>
    struct __are_same<_Tp, _Tp>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<typename _Tp>
    struct __is_void
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<>
    struct __is_void<void>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };




  template<typename _Tp>
    struct __is_integer
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };





  template<>
    struct __is_integer<bool>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<signed char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_integer<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 184 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
  template<>
    struct __is_integer<char16_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<char32_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_integer<short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 270 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
template<> struct __is_integer<__int128> { enum { __value = 1 }; typedef __true_type __type; }; template<> struct __is_integer<unsigned __int128> { enum { __value = 1 }; typedef __true_type __type; };
# 287 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_floating
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };


  template<>
    struct __is_floating<float>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_floating<double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_floating<long double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };




  template<typename _Tp>
    struct __is_pointer
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<typename _Tp>
    struct __is_pointer<_Tp*>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };




  template<typename _Tp>
    struct __is_arithmetic
    : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >
    { };




  template<typename _Tp>
    struct __is_scalar
    : public __traitor<__is_arithmetic<_Tp>, __is_pointer<_Tp> >
    { };




  template<typename _Tp>
    struct __is_char
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<>
    struct __is_char<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_char<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<typename _Tp>
    struct __is_byte
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<>
    struct __is_byte<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_byte<signed char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_byte<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  enum class byte : unsigned char;

  template<>
    struct __is_byte<byte>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 423 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
  template<typename> struct iterator_traits;


  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable
    {
      enum { __value = __is_trivially_copyable(_Tp) };
    };




  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable<volatile _Tp>
    {
      enum { __value = 0 };
    };


  template<typename _OutputIter, typename _InputIter>
    struct __memcpyable
    {
      enum { __value = 0 };
    };

  template<typename _Tp>
    struct __memcpyable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcpyable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };






  template<typename _Iter1, typename _Iter2>
    struct __memcmpable
    {
      enum { __value = 0 };
    };


  template<typename _Tp>
    struct __memcmpable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<const _Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };







  template<typename _Tp, bool _TreatAsBytes =



 __is_byte<_Tp>::__value

    >
    struct __is_memcmp_ordered
    {
      static const bool __value = _Tp(-1) > _Tp(1);
    };

  template<typename _Tp>
    struct __is_memcmp_ordered<_Tp, false>
    {
      static const bool __value = false;
    };


  template<typename _Tp, typename _Up, bool = sizeof(_Tp) == sizeof(_Up)>
    struct __is_memcmp_ordered_with
    {
      static const bool __value = __is_memcmp_ordered<_Tp>::__value
 && __is_memcmp_ordered<_Up>::__value;
    };

  template<typename _Tp, typename _Up>
    struct __is_memcmp_ordered_with<_Tp, _Up, false>
    {
      static const bool __value = false;
    };
# 532 "/usr/include/c++/11/bits/cpp_type_traits.h" 3
  template<>
    struct __is_memcmp_ordered_with<std::byte, std::byte, true>
    { static constexpr bool __value = true; };

  template<typename _Tp, bool _SameSize>
    struct __is_memcmp_ordered_with<_Tp, std::byte, _SameSize>
    { static constexpr bool __value = false; };

  template<typename _Up, bool _SameSize>
    struct __is_memcmp_ordered_with<std::byte, _Up, _SameSize>
    { static constexpr bool __value = false; };





  template<typename _Tp>
    struct __is_move_iterator
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };



  template<typename _Iterator>
   
    inline _Iterator
    __miter_base(_Iterator __it)
    { return __it; }


}
}
# 43 "/usr/include/c++/11/cmath" 2 3
# 1 "/usr/include/c++/11/ext/type_traits.h" 1 3
# 32 "/usr/include/c++/11/ext/type_traits.h" 3
       
# 33 "/usr/include/c++/11/ext/type_traits.h" 3




extern "C++" {

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  template<bool, typename>
    struct __enable_if
    { };

  template<typename _Tp>
    struct __enable_if<true, _Tp>
    { typedef _Tp __type; };



  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct __conditional_type
    { typedef _Iftrue __type; };

  template<typename _Iftrue, typename _Iffalse>
    struct __conditional_type<false, _Iftrue, _Iffalse>
    { typedef _Iffalse __type; };



  template<typename _Tp>
    struct __add_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

  template<>
    struct __add_unsigned<char>
    { typedef unsigned char __type; };

  template<>
    struct __add_unsigned<signed char>
    { typedef unsigned char __type; };

  template<>
    struct __add_unsigned<short>
    { typedef unsigned short __type; };

  template<>
    struct __add_unsigned<int>
    { typedef unsigned int __type; };

  template<>
    struct __add_unsigned<long>
    { typedef unsigned long __type; };

  template<>
    struct __add_unsigned<long long>
    { typedef unsigned long long __type; };


  template<>
    struct __add_unsigned<bool>;

  template<>
    struct __add_unsigned<wchar_t>;



  template<typename _Tp>
    struct __remove_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

  template<>
    struct __remove_unsigned<char>
    { typedef signed char __type; };

  template<>
    struct __remove_unsigned<unsigned char>
    { typedef signed char __type; };

  template<>
    struct __remove_unsigned<unsigned short>
    { typedef short __type; };

  template<>
    struct __remove_unsigned<unsigned int>
    { typedef int __type; };

  template<>
    struct __remove_unsigned<unsigned long>
    { typedef long __type; };

  template<>
    struct __remove_unsigned<unsigned long long>
    { typedef long long __type; };


  template<>
    struct __remove_unsigned<bool>;

  template<>
    struct __remove_unsigned<wchar_t>;



  template<typename _Type>
    inline bool
    __is_null_pointer(_Type* __ptr)
    { return __ptr == 0; }

  template<typename _Type>
    inline bool
    __is_null_pointer(_Type)
    { return false; }


  inline bool
  __is_null_pointer(std::nullptr_t)
  { return true; }




  template<typename _Tp, bool = std::__is_integer<_Tp>::__value>
    struct __promote
    { typedef double __type; };




  template<typename _Tp>
    struct __promote<_Tp, false>
    { };

  template<>
    struct __promote<long double>
    { typedef long double __type; };

  template<>
    struct __promote<double>
    { typedef double __type; };

  template<>
    struct __promote<float>
    { typedef float __type; };


  template<typename... _Tp>
    using __promoted_t = decltype((typename __promote<_Tp>::__type(0) + ...));


  template<typename _Tp, typename _Up,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type>
    struct __promote_2
    {
      typedef __typeof__(_Tp2() + _Up2()) __type;
    };

  template<typename _Tp, typename _Up, typename _Vp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type>
    struct __promote_3
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2()) __type;
    };

  template<typename _Tp, typename _Up, typename _Vp, typename _Wp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type,
           typename _Wp2 = typename __promote<_Wp>::__type>
    struct __promote_4
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2() + _Wp2()) __type;
    };


}
}
# 44 "/usr/include/c++/11/cmath" 2 3

# 1 "/usr/include/math.h" 1 3 4
# 27 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 28 "/usr/include/math.h" 2 3 4






extern "C" {





# 1 "/usr/include/x86_64-linux-gnu/bits/math-vector.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/math-vector.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libm-simd-decl-stubs.h" 1 3 4
# 26 "/usr/include/x86_64-linux-gnu/bits/math-vector.h" 2 3 4
# 41 "/usr/include/math.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 1 3 4
# 74 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef _Complex float __cfloat128 __attribute__ ((__mode__ (__TC__)));
# 86 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
typedef __float128 _Float128;
# 119 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/long-double.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 2 3 4
# 214 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef float _Float32;
# 251 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float64;
# 268 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef double _Float32x;
# 285 "/usr/include/x86_64-linux-gnu/bits/floatn-common.h" 3 4
typedef long double _Float64x;
# 120 "/usr/include/x86_64-linux-gnu/bits/floatn.h" 2 3 4
# 44 "/usr/include/math.h" 2 3 4
# 152 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/flt-eval-method.h" 1 3 4
# 153 "/usr/include/math.h" 2 3 4
# 163 "/usr/include/math.h" 3 4
typedef float float_t;
typedef double double_t;
# 204 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/fp-logb.h" 1 3 4
# 205 "/usr/include/math.h" 2 3 4
# 247 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/fp-fast.h" 1 3 4
# 248 "/usr/include/math.h" 2 3 4



enum
  {
    FP_INT_UPWARD =

      0,
    FP_INT_DOWNWARD =

      1,
    FP_INT_TOWARDZERO =

      2,
    FP_INT_TONEARESTFROMZERO =

      3,
    FP_INT_TONEAREST =

      4,
  };
# 312 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassify (double __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbit (double __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinf (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finite (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnan (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsig (double __x, double __y) noexcept (true);


extern int __issignaling (double __value) noexcept (true)
     __attribute__ ((__const__));
# 313 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern double acos (double __x) noexcept (true); extern double __acos (double __x) noexcept (true);

 extern double asin (double __x) noexcept (true); extern double __asin (double __x) noexcept (true);

 extern double atan (double __x) noexcept (true); extern double __atan (double __x) noexcept (true);

 extern double atan2 (double __y, double __x) noexcept (true); extern double __atan2 (double __y, double __x) noexcept (true);


 extern double cos (double __x) noexcept (true); extern double __cos (double __x) noexcept (true);

 extern double sin (double __x) noexcept (true); extern double __sin (double __x) noexcept (true);

 extern double tan (double __x) noexcept (true); extern double __tan (double __x) noexcept (true);




 extern double cosh (double __x) noexcept (true); extern double __cosh (double __x) noexcept (true);

 extern double sinh (double __x) noexcept (true); extern double __sinh (double __x) noexcept (true);

 extern double tanh (double __x) noexcept (true); extern double __tanh (double __x) noexcept (true);



 extern void sincos (double __x, double *__sinx, double *__cosx) noexcept (true); extern void __sincos (double __x, double *__sinx, double *__cosx) noexcept (true)
                                                        ;




 extern double acosh (double __x) noexcept (true); extern double __acosh (double __x) noexcept (true);

 extern double asinh (double __x) noexcept (true); extern double __asinh (double __x) noexcept (true);

 extern double atanh (double __x) noexcept (true); extern double __atanh (double __x) noexcept (true);





 extern double exp (double __x) noexcept (true); extern double __exp (double __x) noexcept (true);


extern double frexp (double __x, int *__exponent) noexcept (true); extern double __frexp (double __x, int *__exponent) noexcept (true);


extern double ldexp (double __x, int __exponent) noexcept (true); extern double __ldexp (double __x, int __exponent) noexcept (true);


 extern double log (double __x) noexcept (true); extern double __log (double __x) noexcept (true);


 extern double log10 (double __x) noexcept (true); extern double __log10 (double __x) noexcept (true);


extern double modf (double __x, double *__iptr) noexcept (true); extern double __modf (double __x, double *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern double exp10 (double __x) noexcept (true); extern double __exp10 (double __x) noexcept (true);




 extern double expm1 (double __x) noexcept (true); extern double __expm1 (double __x) noexcept (true);


 extern double log1p (double __x) noexcept (true); extern double __log1p (double __x) noexcept (true);


extern double logb (double __x) noexcept (true); extern double __logb (double __x) noexcept (true);




 extern double exp2 (double __x) noexcept (true); extern double __exp2 (double __x) noexcept (true);


 extern double log2 (double __x) noexcept (true); extern double __log2 (double __x) noexcept (true);






 extern double pow (double __x, double __y) noexcept (true); extern double __pow (double __x, double __y) noexcept (true);


extern double sqrt (double __x) noexcept (true); extern double __sqrt (double __x) noexcept (true);



 extern double hypot (double __x, double __y) noexcept (true); extern double __hypot (double __x, double __y) noexcept (true);




 extern double cbrt (double __x) noexcept (true); extern double __cbrt (double __x) noexcept (true);






extern double ceil (double __x) noexcept (true) __attribute__ ((__const__)); extern double __ceil (double __x) noexcept (true) __attribute__ ((__const__));


extern double fabs (double __x) noexcept (true) __attribute__ ((__const__)); extern double __fabs (double __x) noexcept (true) __attribute__ ((__const__));


extern double floor (double __x) noexcept (true) __attribute__ ((__const__)); extern double __floor (double __x) noexcept (true) __attribute__ ((__const__));


extern double fmod (double __x, double __y) noexcept (true); extern double __fmod (double __x, double __y) noexcept (true);
# 183 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int finite (double __value) noexcept (true)
  __attribute__ ((__const__));


extern double drem (double __x, double __y) noexcept (true); extern double __drem (double __x, double __y) noexcept (true);



extern double significand (double __x) noexcept (true); extern double __significand (double __x) noexcept (true);






extern double copysign (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __copysign (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern double nan (const char *__tagb) noexcept (true); extern double __nan (const char *__tagb) noexcept (true);
# 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern double j0 (double) noexcept (true); extern double __j0 (double) noexcept (true);
extern double j1 (double) noexcept (true); extern double __j1 (double) noexcept (true);
extern double jn (int, double) noexcept (true); extern double __jn (int, double) noexcept (true);
extern double y0 (double) noexcept (true); extern double __y0 (double) noexcept (true);
extern double y1 (double) noexcept (true); extern double __y1 (double) noexcept (true);
extern double yn (int, double) noexcept (true); extern double __yn (int, double) noexcept (true);





 extern double erf (double) noexcept (true); extern double __erf (double) noexcept (true);
 extern double erfc (double) noexcept (true); extern double __erfc (double) noexcept (true);
extern double lgamma (double) noexcept (true); extern double __lgamma (double) noexcept (true);




extern double tgamma (double) noexcept (true); extern double __tgamma (double) noexcept (true);





extern double gamma (double) noexcept (true); extern double __gamma (double) noexcept (true);







extern double lgamma_r (double, int *__signgamp) noexcept (true); extern double __lgamma_r (double, int *__signgamp) noexcept (true);






extern double rint (double __x) noexcept (true); extern double __rint (double __x) noexcept (true);


extern double nextafter (double __x, double __y) noexcept (true); extern double __nextafter (double __x, double __y) noexcept (true);

extern double nexttoward (double __x, long double __y) noexcept (true); extern double __nexttoward (double __x, long double __y) noexcept (true);




extern double nextdown (double __x) noexcept (true); extern double __nextdown (double __x) noexcept (true);

extern double nextup (double __x) noexcept (true); extern double __nextup (double __x) noexcept (true);



extern double remainder (double __x, double __y) noexcept (true); extern double __remainder (double __x, double __y) noexcept (true);



extern double scalbn (double __x, int __n) noexcept (true); extern double __scalbn (double __x, int __n) noexcept (true);



extern int ilogb (double __x) noexcept (true); extern int __ilogb (double __x) noexcept (true);




extern long int llogb (double __x) noexcept (true); extern long int __llogb (double __x) noexcept (true);




extern double scalbln (double __x, long int __n) noexcept (true); extern double __scalbln (double __x, long int __n) noexcept (true);



extern double nearbyint (double __x) noexcept (true); extern double __nearbyint (double __x) noexcept (true);



extern double round (double __x) noexcept (true) __attribute__ ((__const__)); extern double __round (double __x) noexcept (true) __attribute__ ((__const__));



extern double trunc (double __x) noexcept (true) __attribute__ ((__const__)); extern double __trunc (double __x) noexcept (true) __attribute__ ((__const__));




extern double remquo (double __x, double __y, int *__quo) noexcept (true); extern double __remquo (double __x, double __y, int *__quo) noexcept (true);






extern long int lrint (double __x) noexcept (true); extern long int __lrint (double __x) noexcept (true);
__extension__
extern long long int llrint (double __x) noexcept (true); extern long long int __llrint (double __x) noexcept (true);



extern long int lround (double __x) noexcept (true); extern long int __lround (double __x) noexcept (true);
__extension__
extern long long int llround (double __x) noexcept (true); extern long long int __llround (double __x) noexcept (true);



extern double fdim (double __x, double __y) noexcept (true); extern double __fdim (double __x, double __y) noexcept (true);



extern double fmax (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmax (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmin (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmin (double __x, double __y) noexcept (true) __attribute__ ((__const__));



extern double fma (double __x, double __y, double __z) noexcept (true); extern double __fma (double __x, double __y, double __z) noexcept (true);




extern double roundeven (double __x) noexcept (true) __attribute__ ((__const__)); extern double __roundeven (double __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfp (double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfp (double __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfp (double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfp (double __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpx (double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpx (double __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpx (double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpx (double __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalize (double *__cx, const double *__x) noexcept (true);






extern double fmaxmag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaxmag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminmag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminmag (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern double fmaximum (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fmaximum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__)); extern double __fminimum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern int totalorder (const double *__x, const double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermag (const double *__x, const double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern double getpayload (const double *__x) noexcept (true); extern double __getpayload (const double *__x) noexcept (true);


extern int setpayload (double *__x, double __payload) noexcept (true);


extern int setpayloadsig (double *__x, double __payload) noexcept (true);







extern double scalb (double __x, double __n) noexcept (true); extern double __scalb (double __x, double __n) noexcept (true);
# 314 "/usr/include/math.h" 2 3 4
# 329 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyf (float __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbitf (float __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinff (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finitef (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnanf (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsigf (float __x, float __y) noexcept (true);


extern int __issignalingf (float __value) noexcept (true)
     __attribute__ ((__const__));
# 330 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern float acosf (float __x) noexcept (true); extern float __acosf (float __x) noexcept (true);

 extern float asinf (float __x) noexcept (true); extern float __asinf (float __x) noexcept (true);

 extern float atanf (float __x) noexcept (true); extern float __atanf (float __x) noexcept (true);

 extern float atan2f (float __y, float __x) noexcept (true); extern float __atan2f (float __y, float __x) noexcept (true);


 extern float cosf (float __x) noexcept (true); extern float __cosf (float __x) noexcept (true);

 extern float sinf (float __x) noexcept (true); extern float __sinf (float __x) noexcept (true);

 extern float tanf (float __x) noexcept (true); extern float __tanf (float __x) noexcept (true);




 extern float coshf (float __x) noexcept (true); extern float __coshf (float __x) noexcept (true);

 extern float sinhf (float __x) noexcept (true); extern float __sinhf (float __x) noexcept (true);

 extern float tanhf (float __x) noexcept (true); extern float __tanhf (float __x) noexcept (true);



 extern void sincosf (float __x, float *__sinx, float *__cosx) noexcept (true); extern void __sincosf (float __x, float *__sinx, float *__cosx) noexcept (true)
                                                        ;




 extern float acoshf (float __x) noexcept (true); extern float __acoshf (float __x) noexcept (true);

 extern float asinhf (float __x) noexcept (true); extern float __asinhf (float __x) noexcept (true);

 extern float atanhf (float __x) noexcept (true); extern float __atanhf (float __x) noexcept (true);





 extern float expf (float __x) noexcept (true); extern float __expf (float __x) noexcept (true);


extern float frexpf (float __x, int *__exponent) noexcept (true); extern float __frexpf (float __x, int *__exponent) noexcept (true);


extern float ldexpf (float __x, int __exponent) noexcept (true); extern float __ldexpf (float __x, int __exponent) noexcept (true);


 extern float logf (float __x) noexcept (true); extern float __logf (float __x) noexcept (true);


 extern float log10f (float __x) noexcept (true); extern float __log10f (float __x) noexcept (true);


extern float modff (float __x, float *__iptr) noexcept (true); extern float __modff (float __x, float *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern float exp10f (float __x) noexcept (true); extern float __exp10f (float __x) noexcept (true);




 extern float expm1f (float __x) noexcept (true); extern float __expm1f (float __x) noexcept (true);


 extern float log1pf (float __x) noexcept (true); extern float __log1pf (float __x) noexcept (true);


extern float logbf (float __x) noexcept (true); extern float __logbf (float __x) noexcept (true);




 extern float exp2f (float __x) noexcept (true); extern float __exp2f (float __x) noexcept (true);


 extern float log2f (float __x) noexcept (true); extern float __log2f (float __x) noexcept (true);






 extern float powf (float __x, float __y) noexcept (true); extern float __powf (float __x, float __y) noexcept (true);


extern float sqrtf (float __x) noexcept (true); extern float __sqrtf (float __x) noexcept (true);



 extern float hypotf (float __x, float __y) noexcept (true); extern float __hypotf (float __x, float __y) noexcept (true);




 extern float cbrtf (float __x) noexcept (true); extern float __cbrtf (float __x) noexcept (true);






extern float ceilf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __ceilf (float __x) noexcept (true) __attribute__ ((__const__));


extern float fabsf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __fabsf (float __x) noexcept (true) __attribute__ ((__const__));


extern float floorf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __floorf (float __x) noexcept (true) __attribute__ ((__const__));


extern float fmodf (float __x, float __y) noexcept (true); extern float __fmodf (float __x, float __y) noexcept (true);
# 177 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isinff (float __value) noexcept (true)
  __attribute__ ((__const__));




extern int finitef (float __value) noexcept (true)
  __attribute__ ((__const__));


extern float dremf (float __x, float __y) noexcept (true); extern float __dremf (float __x, float __y) noexcept (true);



extern float significandf (float __x) noexcept (true); extern float __significandf (float __x) noexcept (true);






extern float copysignf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __copysignf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern float nanf (const char *__tagb) noexcept (true); extern float __nanf (const char *__tagb) noexcept (true);
# 213 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isnanf (float __value) noexcept (true)
  __attribute__ ((__const__));





extern float j0f (float) noexcept (true); extern float __j0f (float) noexcept (true);
extern float j1f (float) noexcept (true); extern float __j1f (float) noexcept (true);
extern float jnf (int, float) noexcept (true); extern float __jnf (int, float) noexcept (true);
extern float y0f (float) noexcept (true); extern float __y0f (float) noexcept (true);
extern float y1f (float) noexcept (true); extern float __y1f (float) noexcept (true);
extern float ynf (int, float) noexcept (true); extern float __ynf (int, float) noexcept (true);





 extern float erff (float) noexcept (true); extern float __erff (float) noexcept (true);
 extern float erfcf (float) noexcept (true); extern float __erfcf (float) noexcept (true);
extern float lgammaf (float) noexcept (true); extern float __lgammaf (float) noexcept (true);




extern float tgammaf (float) noexcept (true); extern float __tgammaf (float) noexcept (true);





extern float gammaf (float) noexcept (true); extern float __gammaf (float) noexcept (true);







extern float lgammaf_r (float, int *__signgamp) noexcept (true); extern float __lgammaf_r (float, int *__signgamp) noexcept (true);






extern float rintf (float __x) noexcept (true); extern float __rintf (float __x) noexcept (true);


extern float nextafterf (float __x, float __y) noexcept (true); extern float __nextafterf (float __x, float __y) noexcept (true);

extern float nexttowardf (float __x, long double __y) noexcept (true); extern float __nexttowardf (float __x, long double __y) noexcept (true);




extern float nextdownf (float __x) noexcept (true); extern float __nextdownf (float __x) noexcept (true);

extern float nextupf (float __x) noexcept (true); extern float __nextupf (float __x) noexcept (true);



extern float remainderf (float __x, float __y) noexcept (true); extern float __remainderf (float __x, float __y) noexcept (true);



extern float scalbnf (float __x, int __n) noexcept (true); extern float __scalbnf (float __x, int __n) noexcept (true);



extern int ilogbf (float __x) noexcept (true); extern int __ilogbf (float __x) noexcept (true);




extern long int llogbf (float __x) noexcept (true); extern long int __llogbf (float __x) noexcept (true);




extern float scalblnf (float __x, long int __n) noexcept (true); extern float __scalblnf (float __x, long int __n) noexcept (true);



extern float nearbyintf (float __x) noexcept (true); extern float __nearbyintf (float __x) noexcept (true);



extern float roundf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __roundf (float __x) noexcept (true) __attribute__ ((__const__));



extern float truncf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __truncf (float __x) noexcept (true) __attribute__ ((__const__));




extern float remquof (float __x, float __y, int *__quo) noexcept (true); extern float __remquof (float __x, float __y, int *__quo) noexcept (true);






extern long int lrintf (float __x) noexcept (true); extern long int __lrintf (float __x) noexcept (true);
__extension__
extern long long int llrintf (float __x) noexcept (true); extern long long int __llrintf (float __x) noexcept (true);



extern long int lroundf (float __x) noexcept (true); extern long int __lroundf (float __x) noexcept (true);
__extension__
extern long long int llroundf (float __x) noexcept (true); extern long long int __llroundf (float __x) noexcept (true);



extern float fdimf (float __x, float __y) noexcept (true); extern float __fdimf (float __x, float __y) noexcept (true);



extern float fmaxf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaxf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminf (float __x, float __y) noexcept (true) __attribute__ ((__const__));



extern float fmaf (float __x, float __y, float __z) noexcept (true); extern float __fmaf (float __x, float __y, float __z) noexcept (true);




extern float roundevenf (float __x) noexcept (true) __attribute__ ((__const__)); extern float __roundevenf (float __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf (float __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf (float __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf (float __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf (float __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf (float __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf (float __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf (float __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf (float __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef (float *__cx, const float *__x) noexcept (true);






extern float fmaxmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaxmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern float fmaximumf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximumf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimumf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimumf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fmaximum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__)); extern float __fminimum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf (const float *__x, const float *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf (const float *__x, const float *__y) noexcept (true)

     __attribute__ ((__pure__));


extern float getpayloadf (const float *__x) noexcept (true); extern float __getpayloadf (const float *__x) noexcept (true);


extern int setpayloadf (float *__x, float __payload) noexcept (true);


extern int setpayloadsigf (float *__x, float __payload) noexcept (true);







extern float scalbf (float __x, float __n) noexcept (true); extern float __scalbf (float __x, float __n) noexcept (true);
# 331 "/usr/include/math.h" 2 3 4
# 398 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyl (long double __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbitl (long double __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinfl (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finitel (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnanl (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsigl (long double __x, long double __y) noexcept (true);


extern int __issignalingl (long double __value) noexcept (true)
     __attribute__ ((__const__));
# 399 "/usr/include/math.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern long double acosl (long double __x) noexcept (true); extern long double __acosl (long double __x) noexcept (true);

 extern long double asinl (long double __x) noexcept (true); extern long double __asinl (long double __x) noexcept (true);

 extern long double atanl (long double __x) noexcept (true); extern long double __atanl (long double __x) noexcept (true);

 extern long double atan2l (long double __y, long double __x) noexcept (true); extern long double __atan2l (long double __y, long double __x) noexcept (true);


 extern long double cosl (long double __x) noexcept (true); extern long double __cosl (long double __x) noexcept (true);

 extern long double sinl (long double __x) noexcept (true); extern long double __sinl (long double __x) noexcept (true);

 extern long double tanl (long double __x) noexcept (true); extern long double __tanl (long double __x) noexcept (true);




 extern long double coshl (long double __x) noexcept (true); extern long double __coshl (long double __x) noexcept (true);

 extern long double sinhl (long double __x) noexcept (true); extern long double __sinhl (long double __x) noexcept (true);

 extern long double tanhl (long double __x) noexcept (true); extern long double __tanhl (long double __x) noexcept (true);



 extern void sincosl (long double __x, long double *__sinx, long double *__cosx) noexcept (true); extern void __sincosl (long double __x, long double *__sinx, long double *__cosx) noexcept (true)
                                                        ;




 extern long double acoshl (long double __x) noexcept (true); extern long double __acoshl (long double __x) noexcept (true);

 extern long double asinhl (long double __x) noexcept (true); extern long double __asinhl (long double __x) noexcept (true);

 extern long double atanhl (long double __x) noexcept (true); extern long double __atanhl (long double __x) noexcept (true);





 extern long double expl (long double __x) noexcept (true); extern long double __expl (long double __x) noexcept (true);


extern long double frexpl (long double __x, int *__exponent) noexcept (true); extern long double __frexpl (long double __x, int *__exponent) noexcept (true);


extern long double ldexpl (long double __x, int __exponent) noexcept (true); extern long double __ldexpl (long double __x, int __exponent) noexcept (true);


 extern long double logl (long double __x) noexcept (true); extern long double __logl (long double __x) noexcept (true);


 extern long double log10l (long double __x) noexcept (true); extern long double __log10l (long double __x) noexcept (true);


extern long double modfl (long double __x, long double *__iptr) noexcept (true); extern long double __modfl (long double __x, long double *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern long double exp10l (long double __x) noexcept (true); extern long double __exp10l (long double __x) noexcept (true);




 extern long double expm1l (long double __x) noexcept (true); extern long double __expm1l (long double __x) noexcept (true);


 extern long double log1pl (long double __x) noexcept (true); extern long double __log1pl (long double __x) noexcept (true);


extern long double logbl (long double __x) noexcept (true); extern long double __logbl (long double __x) noexcept (true);




 extern long double exp2l (long double __x) noexcept (true); extern long double __exp2l (long double __x) noexcept (true);


 extern long double log2l (long double __x) noexcept (true); extern long double __log2l (long double __x) noexcept (true);






 extern long double powl (long double __x, long double __y) noexcept (true); extern long double __powl (long double __x, long double __y) noexcept (true);


extern long double sqrtl (long double __x) noexcept (true); extern long double __sqrtl (long double __x) noexcept (true);



 extern long double hypotl (long double __x, long double __y) noexcept (true); extern long double __hypotl (long double __x, long double __y) noexcept (true);




 extern long double cbrtl (long double __x) noexcept (true); extern long double __cbrtl (long double __x) noexcept (true);






extern long double ceill (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __ceill (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double fabsl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __fabsl (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double floorl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __floorl (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double fmodl (long double __x, long double __y) noexcept (true); extern long double __fmodl (long double __x, long double __y) noexcept (true);
# 177 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isinfl (long double __value) noexcept (true)
  __attribute__ ((__const__));




extern int finitel (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern long double dreml (long double __x, long double __y) noexcept (true); extern long double __dreml (long double __x, long double __y) noexcept (true);



extern long double significandl (long double __x) noexcept (true); extern long double __significandl (long double __x) noexcept (true);






extern long double copysignl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __copysignl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern long double nanl (const char *__tagb) noexcept (true); extern long double __nanl (const char *__tagb) noexcept (true);
# 213 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern int isnanl (long double __value) noexcept (true)
  __attribute__ ((__const__));





extern long double j0l (long double) noexcept (true); extern long double __j0l (long double) noexcept (true);
extern long double j1l (long double) noexcept (true); extern long double __j1l (long double) noexcept (true);
extern long double jnl (int, long double) noexcept (true); extern long double __jnl (int, long double) noexcept (true);
extern long double y0l (long double) noexcept (true); extern long double __y0l (long double) noexcept (true);
extern long double y1l (long double) noexcept (true); extern long double __y1l (long double) noexcept (true);
extern long double ynl (int, long double) noexcept (true); extern long double __ynl (int, long double) noexcept (true);





 extern long double erfl (long double) noexcept (true); extern long double __erfl (long double) noexcept (true);
 extern long double erfcl (long double) noexcept (true); extern long double __erfcl (long double) noexcept (true);
extern long double lgammal (long double) noexcept (true); extern long double __lgammal (long double) noexcept (true);




extern long double tgammal (long double) noexcept (true); extern long double __tgammal (long double) noexcept (true);





extern long double gammal (long double) noexcept (true); extern long double __gammal (long double) noexcept (true);







extern long double lgammal_r (long double, int *__signgamp) noexcept (true); extern long double __lgammal_r (long double, int *__signgamp) noexcept (true);






extern long double rintl (long double __x) noexcept (true); extern long double __rintl (long double __x) noexcept (true);


extern long double nextafterl (long double __x, long double __y) noexcept (true); extern long double __nextafterl (long double __x, long double __y) noexcept (true);

extern long double nexttowardl (long double __x, long double __y) noexcept (true); extern long double __nexttowardl (long double __x, long double __y) noexcept (true);




extern long double nextdownl (long double __x) noexcept (true); extern long double __nextdownl (long double __x) noexcept (true);

extern long double nextupl (long double __x) noexcept (true); extern long double __nextupl (long double __x) noexcept (true);



extern long double remainderl (long double __x, long double __y) noexcept (true); extern long double __remainderl (long double __x, long double __y) noexcept (true);



extern long double scalbnl (long double __x, int __n) noexcept (true); extern long double __scalbnl (long double __x, int __n) noexcept (true);



extern int ilogbl (long double __x) noexcept (true); extern int __ilogbl (long double __x) noexcept (true);




extern long int llogbl (long double __x) noexcept (true); extern long int __llogbl (long double __x) noexcept (true);




extern long double scalblnl (long double __x, long int __n) noexcept (true); extern long double __scalblnl (long double __x, long int __n) noexcept (true);



extern long double nearbyintl (long double __x) noexcept (true); extern long double __nearbyintl (long double __x) noexcept (true);



extern long double roundl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __roundl (long double __x) noexcept (true) __attribute__ ((__const__));



extern long double truncl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __truncl (long double __x) noexcept (true) __attribute__ ((__const__));




extern long double remquol (long double __x, long double __y, int *__quo) noexcept (true); extern long double __remquol (long double __x, long double __y, int *__quo) noexcept (true);






extern long int lrintl (long double __x) noexcept (true); extern long int __lrintl (long double __x) noexcept (true);
__extension__
extern long long int llrintl (long double __x) noexcept (true); extern long long int __llrintl (long double __x) noexcept (true);



extern long int lroundl (long double __x) noexcept (true); extern long int __lroundl (long double __x) noexcept (true);
__extension__
extern long long int llroundl (long double __x) noexcept (true); extern long long int __llroundl (long double __x) noexcept (true);



extern long double fdiml (long double __x, long double __y) noexcept (true); extern long double __fdiml (long double __x, long double __y) noexcept (true);



extern long double fmaxl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaxl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));



extern long double fmal (long double __x, long double __y, long double __z) noexcept (true); extern long double __fmal (long double __x, long double __y, long double __z) noexcept (true);




extern long double roundevenl (long double __x) noexcept (true) __attribute__ ((__const__)); extern long double __roundevenl (long double __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpl (long double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpl (long double __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpl (long double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpl (long double __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxl (long double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxl (long double __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxl (long double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxl (long double __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizel (long double *__cx, const long double *__x) noexcept (true);






extern long double fmaxmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaxmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern long double fmaximuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fmaximum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__)); extern long double __fminimum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderl (const long double *__x, const long double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagl (const long double *__x, const long double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern long double getpayloadl (const long double *__x) noexcept (true); extern long double __getpayloadl (const long double *__x) noexcept (true);


extern int setpayloadl (long double *__x, long double __payload) noexcept (true);


extern int setpayloadsigl (long double *__x, long double __payload) noexcept (true);







extern long double scalbl (long double __x, long double __n) noexcept (true); extern long double __scalbl (long double __x, long double __n) noexcept (true);
# 400 "/usr/include/math.h" 2 3 4
# 450 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float32 acosf32 (_Float32 __x) noexcept (true); extern _Float32 __acosf32 (_Float32 __x) noexcept (true);

 extern _Float32 asinf32 (_Float32 __x) noexcept (true); extern _Float32 __asinf32 (_Float32 __x) noexcept (true);

 extern _Float32 atanf32 (_Float32 __x) noexcept (true); extern _Float32 __atanf32 (_Float32 __x) noexcept (true);

 extern _Float32 atan2f32 (_Float32 __y, _Float32 __x) noexcept (true); extern _Float32 __atan2f32 (_Float32 __y, _Float32 __x) noexcept (true);


 extern _Float32 cosf32 (_Float32 __x) noexcept (true); extern _Float32 __cosf32 (_Float32 __x) noexcept (true);

 extern _Float32 sinf32 (_Float32 __x) noexcept (true); extern _Float32 __sinf32 (_Float32 __x) noexcept (true);

 extern _Float32 tanf32 (_Float32 __x) noexcept (true); extern _Float32 __tanf32 (_Float32 __x) noexcept (true);




 extern _Float32 coshf32 (_Float32 __x) noexcept (true); extern _Float32 __coshf32 (_Float32 __x) noexcept (true);

 extern _Float32 sinhf32 (_Float32 __x) noexcept (true); extern _Float32 __sinhf32 (_Float32 __x) noexcept (true);

 extern _Float32 tanhf32 (_Float32 __x) noexcept (true); extern _Float32 __tanhf32 (_Float32 __x) noexcept (true);



 extern void sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) noexcept (true); extern void __sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) noexcept (true)
                                                        ;




 extern _Float32 acoshf32 (_Float32 __x) noexcept (true); extern _Float32 __acoshf32 (_Float32 __x) noexcept (true);

 extern _Float32 asinhf32 (_Float32 __x) noexcept (true); extern _Float32 __asinhf32 (_Float32 __x) noexcept (true);

 extern _Float32 atanhf32 (_Float32 __x) noexcept (true); extern _Float32 __atanhf32 (_Float32 __x) noexcept (true);





 extern _Float32 expf32 (_Float32 __x) noexcept (true); extern _Float32 __expf32 (_Float32 __x) noexcept (true);


extern _Float32 frexpf32 (_Float32 __x, int *__exponent) noexcept (true); extern _Float32 __frexpf32 (_Float32 __x, int *__exponent) noexcept (true);


extern _Float32 ldexpf32 (_Float32 __x, int __exponent) noexcept (true); extern _Float32 __ldexpf32 (_Float32 __x, int __exponent) noexcept (true);


 extern _Float32 logf32 (_Float32 __x) noexcept (true); extern _Float32 __logf32 (_Float32 __x) noexcept (true);


 extern _Float32 log10f32 (_Float32 __x) noexcept (true); extern _Float32 __log10f32 (_Float32 __x) noexcept (true);


extern _Float32 modff32 (_Float32 __x, _Float32 *__iptr) noexcept (true); extern _Float32 __modff32 (_Float32 __x, _Float32 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float32 exp10f32 (_Float32 __x) noexcept (true); extern _Float32 __exp10f32 (_Float32 __x) noexcept (true);




 extern _Float32 expm1f32 (_Float32 __x) noexcept (true); extern _Float32 __expm1f32 (_Float32 __x) noexcept (true);


 extern _Float32 log1pf32 (_Float32 __x) noexcept (true); extern _Float32 __log1pf32 (_Float32 __x) noexcept (true);


extern _Float32 logbf32 (_Float32 __x) noexcept (true); extern _Float32 __logbf32 (_Float32 __x) noexcept (true);




 extern _Float32 exp2f32 (_Float32 __x) noexcept (true); extern _Float32 __exp2f32 (_Float32 __x) noexcept (true);


 extern _Float32 log2f32 (_Float32 __x) noexcept (true); extern _Float32 __log2f32 (_Float32 __x) noexcept (true);






 extern _Float32 powf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __powf32 (_Float32 __x, _Float32 __y) noexcept (true);


extern _Float32 sqrtf32 (_Float32 __x) noexcept (true); extern _Float32 __sqrtf32 (_Float32 __x) noexcept (true);



 extern _Float32 hypotf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __hypotf32 (_Float32 __x, _Float32 __y) noexcept (true);




 extern _Float32 cbrtf32 (_Float32 __x) noexcept (true); extern _Float32 __cbrtf32 (_Float32 __x) noexcept (true);






extern _Float32 ceilf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __ceilf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 fabsf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fabsf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 floorf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __floorf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmodf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __fmodf32 (_Float32 __x, _Float32 __y) noexcept (true);
# 198 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 copysignf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __copysignf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern _Float32 nanf32 (const char *__tagb) noexcept (true); extern _Float32 __nanf32 (const char *__tagb) noexcept (true);
# 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 j0f32 (_Float32) noexcept (true); extern _Float32 __j0f32 (_Float32) noexcept (true);
extern _Float32 j1f32 (_Float32) noexcept (true); extern _Float32 __j1f32 (_Float32) noexcept (true);
extern _Float32 jnf32 (int, _Float32) noexcept (true); extern _Float32 __jnf32 (int, _Float32) noexcept (true);
extern _Float32 y0f32 (_Float32) noexcept (true); extern _Float32 __y0f32 (_Float32) noexcept (true);
extern _Float32 y1f32 (_Float32) noexcept (true); extern _Float32 __y1f32 (_Float32) noexcept (true);
extern _Float32 ynf32 (int, _Float32) noexcept (true); extern _Float32 __ynf32 (int, _Float32) noexcept (true);





 extern _Float32 erff32 (_Float32) noexcept (true); extern _Float32 __erff32 (_Float32) noexcept (true);
 extern _Float32 erfcf32 (_Float32) noexcept (true); extern _Float32 __erfcf32 (_Float32) noexcept (true);
extern _Float32 lgammaf32 (_Float32) noexcept (true); extern _Float32 __lgammaf32 (_Float32) noexcept (true);




extern _Float32 tgammaf32 (_Float32) noexcept (true); extern _Float32 __tgammaf32 (_Float32) noexcept (true);
# 252 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32 lgammaf32_r (_Float32, int *__signgamp) noexcept (true); extern _Float32 __lgammaf32_r (_Float32, int *__signgamp) noexcept (true);






extern _Float32 rintf32 (_Float32 __x) noexcept (true); extern _Float32 __rintf32 (_Float32 __x) noexcept (true);


extern _Float32 nextafterf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __nextafterf32 (_Float32 __x, _Float32 __y) noexcept (true);






extern _Float32 nextdownf32 (_Float32 __x) noexcept (true); extern _Float32 __nextdownf32 (_Float32 __x) noexcept (true);

extern _Float32 nextupf32 (_Float32 __x) noexcept (true); extern _Float32 __nextupf32 (_Float32 __x) noexcept (true);



extern _Float32 remainderf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __remainderf32 (_Float32 __x, _Float32 __y) noexcept (true);



extern _Float32 scalbnf32 (_Float32 __x, int __n) noexcept (true); extern _Float32 __scalbnf32 (_Float32 __x, int __n) noexcept (true);



extern int ilogbf32 (_Float32 __x) noexcept (true); extern int __ilogbf32 (_Float32 __x) noexcept (true);




extern long int llogbf32 (_Float32 __x) noexcept (true); extern long int __llogbf32 (_Float32 __x) noexcept (true);




extern _Float32 scalblnf32 (_Float32 __x, long int __n) noexcept (true); extern _Float32 __scalblnf32 (_Float32 __x, long int __n) noexcept (true);



extern _Float32 nearbyintf32 (_Float32 __x) noexcept (true); extern _Float32 __nearbyintf32 (_Float32 __x) noexcept (true);



extern _Float32 roundf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __roundf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));



extern _Float32 truncf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __truncf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));




extern _Float32 remquof32 (_Float32 __x, _Float32 __y, int *__quo) noexcept (true); extern _Float32 __remquof32 (_Float32 __x, _Float32 __y, int *__quo) noexcept (true);






extern long int lrintf32 (_Float32 __x) noexcept (true); extern long int __lrintf32 (_Float32 __x) noexcept (true);
__extension__
extern long long int llrintf32 (_Float32 __x) noexcept (true); extern long long int __llrintf32 (_Float32 __x) noexcept (true);



extern long int lroundf32 (_Float32 __x) noexcept (true); extern long int __lroundf32 (_Float32 __x) noexcept (true);
__extension__
extern long long int llroundf32 (_Float32 __x) noexcept (true); extern long long int __llroundf32 (_Float32 __x) noexcept (true);



extern _Float32 fdimf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __fdimf32 (_Float32 __x, _Float32 __y) noexcept (true);



extern _Float32 fmaxf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaxf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));



extern _Float32 fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) noexcept (true); extern _Float32 __fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) noexcept (true);




extern _Float32 roundevenf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__)); extern _Float32 __roundevenf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef32 (_Float32 *__cx, const _Float32 *__x) noexcept (true);






extern _Float32 fmaxmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaxmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern _Float32 fmaximumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fmaximum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__)); extern _Float32 __fminimum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf32 (const _Float32 *__x, const _Float32 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf32 (const _Float32 *__x, const _Float32 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float32 getpayloadf32 (const _Float32 *__x) noexcept (true); extern _Float32 __getpayloadf32 (const _Float32 *__x) noexcept (true);


extern int setpayloadf32 (_Float32 *__x, _Float32 __payload) noexcept (true);


extern int setpayloadsigf32 (_Float32 *__x, _Float32 __payload) noexcept (true);
# 451 "/usr/include/math.h" 2 3 4
# 467 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float64 acosf64 (_Float64 __x) noexcept (true); extern _Float64 __acosf64 (_Float64 __x) noexcept (true);

 extern _Float64 asinf64 (_Float64 __x) noexcept (true); extern _Float64 __asinf64 (_Float64 __x) noexcept (true);

 extern _Float64 atanf64 (_Float64 __x) noexcept (true); extern _Float64 __atanf64 (_Float64 __x) noexcept (true);

 extern _Float64 atan2f64 (_Float64 __y, _Float64 __x) noexcept (true); extern _Float64 __atan2f64 (_Float64 __y, _Float64 __x) noexcept (true);


 extern _Float64 cosf64 (_Float64 __x) noexcept (true); extern _Float64 __cosf64 (_Float64 __x) noexcept (true);

 extern _Float64 sinf64 (_Float64 __x) noexcept (true); extern _Float64 __sinf64 (_Float64 __x) noexcept (true);

 extern _Float64 tanf64 (_Float64 __x) noexcept (true); extern _Float64 __tanf64 (_Float64 __x) noexcept (true);




 extern _Float64 coshf64 (_Float64 __x) noexcept (true); extern _Float64 __coshf64 (_Float64 __x) noexcept (true);

 extern _Float64 sinhf64 (_Float64 __x) noexcept (true); extern _Float64 __sinhf64 (_Float64 __x) noexcept (true);

 extern _Float64 tanhf64 (_Float64 __x) noexcept (true); extern _Float64 __tanhf64 (_Float64 __x) noexcept (true);



 extern void sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) noexcept (true); extern void __sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) noexcept (true)
                                                        ;




 extern _Float64 acoshf64 (_Float64 __x) noexcept (true); extern _Float64 __acoshf64 (_Float64 __x) noexcept (true);

 extern _Float64 asinhf64 (_Float64 __x) noexcept (true); extern _Float64 __asinhf64 (_Float64 __x) noexcept (true);

 extern _Float64 atanhf64 (_Float64 __x) noexcept (true); extern _Float64 __atanhf64 (_Float64 __x) noexcept (true);





 extern _Float64 expf64 (_Float64 __x) noexcept (true); extern _Float64 __expf64 (_Float64 __x) noexcept (true);


extern _Float64 frexpf64 (_Float64 __x, int *__exponent) noexcept (true); extern _Float64 __frexpf64 (_Float64 __x, int *__exponent) noexcept (true);


extern _Float64 ldexpf64 (_Float64 __x, int __exponent) noexcept (true); extern _Float64 __ldexpf64 (_Float64 __x, int __exponent) noexcept (true);


 extern _Float64 logf64 (_Float64 __x) noexcept (true); extern _Float64 __logf64 (_Float64 __x) noexcept (true);


 extern _Float64 log10f64 (_Float64 __x) noexcept (true); extern _Float64 __log10f64 (_Float64 __x) noexcept (true);


extern _Float64 modff64 (_Float64 __x, _Float64 *__iptr) noexcept (true); extern _Float64 __modff64 (_Float64 __x, _Float64 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float64 exp10f64 (_Float64 __x) noexcept (true); extern _Float64 __exp10f64 (_Float64 __x) noexcept (true);




 extern _Float64 expm1f64 (_Float64 __x) noexcept (true); extern _Float64 __expm1f64 (_Float64 __x) noexcept (true);


 extern _Float64 log1pf64 (_Float64 __x) noexcept (true); extern _Float64 __log1pf64 (_Float64 __x) noexcept (true);


extern _Float64 logbf64 (_Float64 __x) noexcept (true); extern _Float64 __logbf64 (_Float64 __x) noexcept (true);




 extern _Float64 exp2f64 (_Float64 __x) noexcept (true); extern _Float64 __exp2f64 (_Float64 __x) noexcept (true);


 extern _Float64 log2f64 (_Float64 __x) noexcept (true); extern _Float64 __log2f64 (_Float64 __x) noexcept (true);






 extern _Float64 powf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __powf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float64 sqrtf64 (_Float64 __x) noexcept (true); extern _Float64 __sqrtf64 (_Float64 __x) noexcept (true);



 extern _Float64 hypotf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __hypotf64 (_Float64 __x, _Float64 __y) noexcept (true);




 extern _Float64 cbrtf64 (_Float64 __x) noexcept (true); extern _Float64 __cbrtf64 (_Float64 __x) noexcept (true);






extern _Float64 ceilf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __ceilf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 fabsf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fabsf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 floorf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __floorf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmodf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __fmodf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 198 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 copysignf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __copysignf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern _Float64 nanf64 (const char *__tagb) noexcept (true); extern _Float64 __nanf64 (const char *__tagb) noexcept (true);
# 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 j0f64 (_Float64) noexcept (true); extern _Float64 __j0f64 (_Float64) noexcept (true);
extern _Float64 j1f64 (_Float64) noexcept (true); extern _Float64 __j1f64 (_Float64) noexcept (true);
extern _Float64 jnf64 (int, _Float64) noexcept (true); extern _Float64 __jnf64 (int, _Float64) noexcept (true);
extern _Float64 y0f64 (_Float64) noexcept (true); extern _Float64 __y0f64 (_Float64) noexcept (true);
extern _Float64 y1f64 (_Float64) noexcept (true); extern _Float64 __y1f64 (_Float64) noexcept (true);
extern _Float64 ynf64 (int, _Float64) noexcept (true); extern _Float64 __ynf64 (int, _Float64) noexcept (true);





 extern _Float64 erff64 (_Float64) noexcept (true); extern _Float64 __erff64 (_Float64) noexcept (true);
 extern _Float64 erfcf64 (_Float64) noexcept (true); extern _Float64 __erfcf64 (_Float64) noexcept (true);
extern _Float64 lgammaf64 (_Float64) noexcept (true); extern _Float64 __lgammaf64 (_Float64) noexcept (true);




extern _Float64 tgammaf64 (_Float64) noexcept (true); extern _Float64 __tgammaf64 (_Float64) noexcept (true);
# 252 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64 lgammaf64_r (_Float64, int *__signgamp) noexcept (true); extern _Float64 __lgammaf64_r (_Float64, int *__signgamp) noexcept (true);






extern _Float64 rintf64 (_Float64 __x) noexcept (true); extern _Float64 __rintf64 (_Float64 __x) noexcept (true);


extern _Float64 nextafterf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __nextafterf64 (_Float64 __x, _Float64 __y) noexcept (true);






extern _Float64 nextdownf64 (_Float64 __x) noexcept (true); extern _Float64 __nextdownf64 (_Float64 __x) noexcept (true);

extern _Float64 nextupf64 (_Float64 __x) noexcept (true); extern _Float64 __nextupf64 (_Float64 __x) noexcept (true);



extern _Float64 remainderf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __remainderf64 (_Float64 __x, _Float64 __y) noexcept (true);



extern _Float64 scalbnf64 (_Float64 __x, int __n) noexcept (true); extern _Float64 __scalbnf64 (_Float64 __x, int __n) noexcept (true);



extern int ilogbf64 (_Float64 __x) noexcept (true); extern int __ilogbf64 (_Float64 __x) noexcept (true);




extern long int llogbf64 (_Float64 __x) noexcept (true); extern long int __llogbf64 (_Float64 __x) noexcept (true);




extern _Float64 scalblnf64 (_Float64 __x, long int __n) noexcept (true); extern _Float64 __scalblnf64 (_Float64 __x, long int __n) noexcept (true);



extern _Float64 nearbyintf64 (_Float64 __x) noexcept (true); extern _Float64 __nearbyintf64 (_Float64 __x) noexcept (true);



extern _Float64 roundf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __roundf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));



extern _Float64 truncf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __truncf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));




extern _Float64 remquof64 (_Float64 __x, _Float64 __y, int *__quo) noexcept (true); extern _Float64 __remquof64 (_Float64 __x, _Float64 __y, int *__quo) noexcept (true);






extern long int lrintf64 (_Float64 __x) noexcept (true); extern long int __lrintf64 (_Float64 __x) noexcept (true);
__extension__
extern long long int llrintf64 (_Float64 __x) noexcept (true); extern long long int __llrintf64 (_Float64 __x) noexcept (true);



extern long int lroundf64 (_Float64 __x) noexcept (true); extern long int __lroundf64 (_Float64 __x) noexcept (true);
__extension__
extern long long int llroundf64 (_Float64 __x) noexcept (true); extern long long int __llroundf64 (_Float64 __x) noexcept (true);



extern _Float64 fdimf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __fdimf64 (_Float64 __x, _Float64 __y) noexcept (true);



extern _Float64 fmaxf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaxf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));



extern _Float64 fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true); extern _Float64 __fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);




extern _Float64 roundevenf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__)); extern _Float64 __roundevenf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef64 (_Float64 *__cx, const _Float64 *__x) noexcept (true);






extern _Float64 fmaxmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaxmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern _Float64 fmaximumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fmaximum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__)); extern _Float64 __fminimum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf64 (const _Float64 *__x, const _Float64 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf64 (const _Float64 *__x, const _Float64 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float64 getpayloadf64 (const _Float64 *__x) noexcept (true); extern _Float64 __getpayloadf64 (const _Float64 *__x) noexcept (true);


extern int setpayloadf64 (_Float64 *__x, _Float64 __payload) noexcept (true);


extern int setpayloadsigf64 (_Float64 *__x, _Float64 __payload) noexcept (true);
# 468 "/usr/include/math.h" 2 3 4
# 481 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 1 3 4
# 20 "/usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h" 3 4
extern int __fpclassifyf128 (_Float128 __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbitf128 (_Float128 __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinff128 (_Float128 __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finitef128 (_Float128 __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnanf128 (_Float128 __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsigf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern int __issignalingf128 (_Float128 __value) noexcept (true)
     __attribute__ ((__const__));
# 482 "/usr/include/math.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float128 acosf128 (_Float128 __x) noexcept (true); extern _Float128 __acosf128 (_Float128 __x) noexcept (true);

 extern _Float128 asinf128 (_Float128 __x) noexcept (true); extern _Float128 __asinf128 (_Float128 __x) noexcept (true);

 extern _Float128 atanf128 (_Float128 __x) noexcept (true); extern _Float128 __atanf128 (_Float128 __x) noexcept (true);

 extern _Float128 atan2f128 (_Float128 __y, _Float128 __x) noexcept (true); extern _Float128 __atan2f128 (_Float128 __y, _Float128 __x) noexcept (true);


 extern _Float128 cosf128 (_Float128 __x) noexcept (true); extern _Float128 __cosf128 (_Float128 __x) noexcept (true);

 extern _Float128 sinf128 (_Float128 __x) noexcept (true); extern _Float128 __sinf128 (_Float128 __x) noexcept (true);

 extern _Float128 tanf128 (_Float128 __x) noexcept (true); extern _Float128 __tanf128 (_Float128 __x) noexcept (true);




 extern _Float128 coshf128 (_Float128 __x) noexcept (true); extern _Float128 __coshf128 (_Float128 __x) noexcept (true);

 extern _Float128 sinhf128 (_Float128 __x) noexcept (true); extern _Float128 __sinhf128 (_Float128 __x) noexcept (true);

 extern _Float128 tanhf128 (_Float128 __x) noexcept (true); extern _Float128 __tanhf128 (_Float128 __x) noexcept (true);



 extern void sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) noexcept (true); extern void __sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) noexcept (true)
                                                        ;




 extern _Float128 acoshf128 (_Float128 __x) noexcept (true); extern _Float128 __acoshf128 (_Float128 __x) noexcept (true);

 extern _Float128 asinhf128 (_Float128 __x) noexcept (true); extern _Float128 __asinhf128 (_Float128 __x) noexcept (true);

 extern _Float128 atanhf128 (_Float128 __x) noexcept (true); extern _Float128 __atanhf128 (_Float128 __x) noexcept (true);





 extern _Float128 expf128 (_Float128 __x) noexcept (true); extern _Float128 __expf128 (_Float128 __x) noexcept (true);


extern _Float128 frexpf128 (_Float128 __x, int *__exponent) noexcept (true); extern _Float128 __frexpf128 (_Float128 __x, int *__exponent) noexcept (true);


extern _Float128 ldexpf128 (_Float128 __x, int __exponent) noexcept (true); extern _Float128 __ldexpf128 (_Float128 __x, int __exponent) noexcept (true);


 extern _Float128 logf128 (_Float128 __x) noexcept (true); extern _Float128 __logf128 (_Float128 __x) noexcept (true);


 extern _Float128 log10f128 (_Float128 __x) noexcept (true); extern _Float128 __log10f128 (_Float128 __x) noexcept (true);


extern _Float128 modff128 (_Float128 __x, _Float128 *__iptr) noexcept (true); extern _Float128 __modff128 (_Float128 __x, _Float128 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float128 exp10f128 (_Float128 __x) noexcept (true); extern _Float128 __exp10f128 (_Float128 __x) noexcept (true);




 extern _Float128 expm1f128 (_Float128 __x) noexcept (true); extern _Float128 __expm1f128 (_Float128 __x) noexcept (true);


 extern _Float128 log1pf128 (_Float128 __x) noexcept (true); extern _Float128 __log1pf128 (_Float128 __x) noexcept (true);


extern _Float128 logbf128 (_Float128 __x) noexcept (true); extern _Float128 __logbf128 (_Float128 __x) noexcept (true);




 extern _Float128 exp2f128 (_Float128 __x) noexcept (true); extern _Float128 __exp2f128 (_Float128 __x) noexcept (true);


 extern _Float128 log2f128 (_Float128 __x) noexcept (true); extern _Float128 __log2f128 (_Float128 __x) noexcept (true);






 extern _Float128 powf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __powf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float128 sqrtf128 (_Float128 __x) noexcept (true); extern _Float128 __sqrtf128 (_Float128 __x) noexcept (true);



 extern _Float128 hypotf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __hypotf128 (_Float128 __x, _Float128 __y) noexcept (true);




 extern _Float128 cbrtf128 (_Float128 __x) noexcept (true); extern _Float128 __cbrtf128 (_Float128 __x) noexcept (true);






extern _Float128 ceilf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __ceilf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 fabsf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fabsf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 floorf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __floorf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmodf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __fmodf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 198 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 copysignf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __copysignf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern _Float128 nanf128 (const char *__tagb) noexcept (true); extern _Float128 __nanf128 (const char *__tagb) noexcept (true);
# 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 j0f128 (_Float128) noexcept (true); extern _Float128 __j0f128 (_Float128) noexcept (true);
extern _Float128 j1f128 (_Float128) noexcept (true); extern _Float128 __j1f128 (_Float128) noexcept (true);
extern _Float128 jnf128 (int, _Float128) noexcept (true); extern _Float128 __jnf128 (int, _Float128) noexcept (true);
extern _Float128 y0f128 (_Float128) noexcept (true); extern _Float128 __y0f128 (_Float128) noexcept (true);
extern _Float128 y1f128 (_Float128) noexcept (true); extern _Float128 __y1f128 (_Float128) noexcept (true);
extern _Float128 ynf128 (int, _Float128) noexcept (true); extern _Float128 __ynf128 (int, _Float128) noexcept (true);





 extern _Float128 erff128 (_Float128) noexcept (true); extern _Float128 __erff128 (_Float128) noexcept (true);
 extern _Float128 erfcf128 (_Float128) noexcept (true); extern _Float128 __erfcf128 (_Float128) noexcept (true);
extern _Float128 lgammaf128 (_Float128) noexcept (true); extern _Float128 __lgammaf128 (_Float128) noexcept (true);




extern _Float128 tgammaf128 (_Float128) noexcept (true); extern _Float128 __tgammaf128 (_Float128) noexcept (true);
# 252 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float128 lgammaf128_r (_Float128, int *__signgamp) noexcept (true); extern _Float128 __lgammaf128_r (_Float128, int *__signgamp) noexcept (true);






extern _Float128 rintf128 (_Float128 __x) noexcept (true); extern _Float128 __rintf128 (_Float128 __x) noexcept (true);


extern _Float128 nextafterf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __nextafterf128 (_Float128 __x, _Float128 __y) noexcept (true);






extern _Float128 nextdownf128 (_Float128 __x) noexcept (true); extern _Float128 __nextdownf128 (_Float128 __x) noexcept (true);

extern _Float128 nextupf128 (_Float128 __x) noexcept (true); extern _Float128 __nextupf128 (_Float128 __x) noexcept (true);



extern _Float128 remainderf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __remainderf128 (_Float128 __x, _Float128 __y) noexcept (true);



extern _Float128 scalbnf128 (_Float128 __x, int __n) noexcept (true); extern _Float128 __scalbnf128 (_Float128 __x, int __n) noexcept (true);



extern int ilogbf128 (_Float128 __x) noexcept (true); extern int __ilogbf128 (_Float128 __x) noexcept (true);




extern long int llogbf128 (_Float128 __x) noexcept (true); extern long int __llogbf128 (_Float128 __x) noexcept (true);




extern _Float128 scalblnf128 (_Float128 __x, long int __n) noexcept (true); extern _Float128 __scalblnf128 (_Float128 __x, long int __n) noexcept (true);



extern _Float128 nearbyintf128 (_Float128 __x) noexcept (true); extern _Float128 __nearbyintf128 (_Float128 __x) noexcept (true);



extern _Float128 roundf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __roundf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));



extern _Float128 truncf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __truncf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));




extern _Float128 remquof128 (_Float128 __x, _Float128 __y, int *__quo) noexcept (true); extern _Float128 __remquof128 (_Float128 __x, _Float128 __y, int *__quo) noexcept (true);






extern long int lrintf128 (_Float128 __x) noexcept (true); extern long int __lrintf128 (_Float128 __x) noexcept (true);
__extension__
extern long long int llrintf128 (_Float128 __x) noexcept (true); extern long long int __llrintf128 (_Float128 __x) noexcept (true);



extern long int lroundf128 (_Float128 __x) noexcept (true); extern long int __lroundf128 (_Float128 __x) noexcept (true);
__extension__
extern long long int llroundf128 (_Float128 __x) noexcept (true); extern long long int __llroundf128 (_Float128 __x) noexcept (true);



extern _Float128 fdimf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __fdimf128 (_Float128 __x, _Float128 __y) noexcept (true);



extern _Float128 fmaxf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaxf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));



extern _Float128 fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true); extern _Float128 __fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);




extern _Float128 roundevenf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__)); extern _Float128 __roundevenf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef128 (_Float128 *__cx, const _Float128 *__x) noexcept (true);






extern _Float128 fmaxmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaxmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern _Float128 fmaximumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fmaximum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__)); extern _Float128 __fminimum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf128 (const _Float128 *__x, const _Float128 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf128 (const _Float128 *__x, const _Float128 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float128 getpayloadf128 (const _Float128 *__x) noexcept (true); extern _Float128 __getpayloadf128 (const _Float128 *__x) noexcept (true);


extern int setpayloadf128 (_Float128 *__x, _Float128 __payload) noexcept (true);


extern int setpayloadsigf128 (_Float128 *__x, _Float128 __payload) noexcept (true);
# 485 "/usr/include/math.h" 2 3 4
# 501 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float32x acosf32x (_Float32x __x) noexcept (true); extern _Float32x __acosf32x (_Float32x __x) noexcept (true);

 extern _Float32x asinf32x (_Float32x __x) noexcept (true); extern _Float32x __asinf32x (_Float32x __x) noexcept (true);

 extern _Float32x atanf32x (_Float32x __x) noexcept (true); extern _Float32x __atanf32x (_Float32x __x) noexcept (true);

 extern _Float32x atan2f32x (_Float32x __y, _Float32x __x) noexcept (true); extern _Float32x __atan2f32x (_Float32x __y, _Float32x __x) noexcept (true);


 extern _Float32x cosf32x (_Float32x __x) noexcept (true); extern _Float32x __cosf32x (_Float32x __x) noexcept (true);

 extern _Float32x sinf32x (_Float32x __x) noexcept (true); extern _Float32x __sinf32x (_Float32x __x) noexcept (true);

 extern _Float32x tanf32x (_Float32x __x) noexcept (true); extern _Float32x __tanf32x (_Float32x __x) noexcept (true);




 extern _Float32x coshf32x (_Float32x __x) noexcept (true); extern _Float32x __coshf32x (_Float32x __x) noexcept (true);

 extern _Float32x sinhf32x (_Float32x __x) noexcept (true); extern _Float32x __sinhf32x (_Float32x __x) noexcept (true);

 extern _Float32x tanhf32x (_Float32x __x) noexcept (true); extern _Float32x __tanhf32x (_Float32x __x) noexcept (true);



 extern void sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) noexcept (true); extern void __sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) noexcept (true)
                                                        ;




 extern _Float32x acoshf32x (_Float32x __x) noexcept (true); extern _Float32x __acoshf32x (_Float32x __x) noexcept (true);

 extern _Float32x asinhf32x (_Float32x __x) noexcept (true); extern _Float32x __asinhf32x (_Float32x __x) noexcept (true);

 extern _Float32x atanhf32x (_Float32x __x) noexcept (true); extern _Float32x __atanhf32x (_Float32x __x) noexcept (true);





 extern _Float32x expf32x (_Float32x __x) noexcept (true); extern _Float32x __expf32x (_Float32x __x) noexcept (true);


extern _Float32x frexpf32x (_Float32x __x, int *__exponent) noexcept (true); extern _Float32x __frexpf32x (_Float32x __x, int *__exponent) noexcept (true);


extern _Float32x ldexpf32x (_Float32x __x, int __exponent) noexcept (true); extern _Float32x __ldexpf32x (_Float32x __x, int __exponent) noexcept (true);


 extern _Float32x logf32x (_Float32x __x) noexcept (true); extern _Float32x __logf32x (_Float32x __x) noexcept (true);


 extern _Float32x log10f32x (_Float32x __x) noexcept (true); extern _Float32x __log10f32x (_Float32x __x) noexcept (true);


extern _Float32x modff32x (_Float32x __x, _Float32x *__iptr) noexcept (true); extern _Float32x __modff32x (_Float32x __x, _Float32x *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float32x exp10f32x (_Float32x __x) noexcept (true); extern _Float32x __exp10f32x (_Float32x __x) noexcept (true);




 extern _Float32x expm1f32x (_Float32x __x) noexcept (true); extern _Float32x __expm1f32x (_Float32x __x) noexcept (true);


 extern _Float32x log1pf32x (_Float32x __x) noexcept (true); extern _Float32x __log1pf32x (_Float32x __x) noexcept (true);


extern _Float32x logbf32x (_Float32x __x) noexcept (true); extern _Float32x __logbf32x (_Float32x __x) noexcept (true);




 extern _Float32x exp2f32x (_Float32x __x) noexcept (true); extern _Float32x __exp2f32x (_Float32x __x) noexcept (true);


 extern _Float32x log2f32x (_Float32x __x) noexcept (true); extern _Float32x __log2f32x (_Float32x __x) noexcept (true);






 extern _Float32x powf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __powf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32x sqrtf32x (_Float32x __x) noexcept (true); extern _Float32x __sqrtf32x (_Float32x __x) noexcept (true);



 extern _Float32x hypotf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __hypotf32x (_Float32x __x, _Float32x __y) noexcept (true);




 extern _Float32x cbrtf32x (_Float32x __x) noexcept (true); extern _Float32x __cbrtf32x (_Float32x __x) noexcept (true);






extern _Float32x ceilf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __ceilf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x fabsf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fabsf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x floorf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __floorf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmodf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __fmodf32x (_Float32x __x, _Float32x __y) noexcept (true);
# 198 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x copysignf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __copysignf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern _Float32x nanf32x (const char *__tagb) noexcept (true); extern _Float32x __nanf32x (const char *__tagb) noexcept (true);
# 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x j0f32x (_Float32x) noexcept (true); extern _Float32x __j0f32x (_Float32x) noexcept (true);
extern _Float32x j1f32x (_Float32x) noexcept (true); extern _Float32x __j1f32x (_Float32x) noexcept (true);
extern _Float32x jnf32x (int, _Float32x) noexcept (true); extern _Float32x __jnf32x (int, _Float32x) noexcept (true);
extern _Float32x y0f32x (_Float32x) noexcept (true); extern _Float32x __y0f32x (_Float32x) noexcept (true);
extern _Float32x y1f32x (_Float32x) noexcept (true); extern _Float32x __y1f32x (_Float32x) noexcept (true);
extern _Float32x ynf32x (int, _Float32x) noexcept (true); extern _Float32x __ynf32x (int, _Float32x) noexcept (true);





 extern _Float32x erff32x (_Float32x) noexcept (true); extern _Float32x __erff32x (_Float32x) noexcept (true);
 extern _Float32x erfcf32x (_Float32x) noexcept (true); extern _Float32x __erfcf32x (_Float32x) noexcept (true);
extern _Float32x lgammaf32x (_Float32x) noexcept (true); extern _Float32x __lgammaf32x (_Float32x) noexcept (true);




extern _Float32x tgammaf32x (_Float32x) noexcept (true); extern _Float32x __tgammaf32x (_Float32x) noexcept (true);
# 252 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float32x lgammaf32x_r (_Float32x, int *__signgamp) noexcept (true); extern _Float32x __lgammaf32x_r (_Float32x, int *__signgamp) noexcept (true);






extern _Float32x rintf32x (_Float32x __x) noexcept (true); extern _Float32x __rintf32x (_Float32x __x) noexcept (true);


extern _Float32x nextafterf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __nextafterf32x (_Float32x __x, _Float32x __y) noexcept (true);






extern _Float32x nextdownf32x (_Float32x __x) noexcept (true); extern _Float32x __nextdownf32x (_Float32x __x) noexcept (true);

extern _Float32x nextupf32x (_Float32x __x) noexcept (true); extern _Float32x __nextupf32x (_Float32x __x) noexcept (true);



extern _Float32x remainderf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __remainderf32x (_Float32x __x, _Float32x __y) noexcept (true);



extern _Float32x scalbnf32x (_Float32x __x, int __n) noexcept (true); extern _Float32x __scalbnf32x (_Float32x __x, int __n) noexcept (true);



extern int ilogbf32x (_Float32x __x) noexcept (true); extern int __ilogbf32x (_Float32x __x) noexcept (true);




extern long int llogbf32x (_Float32x __x) noexcept (true); extern long int __llogbf32x (_Float32x __x) noexcept (true);




extern _Float32x scalblnf32x (_Float32x __x, long int __n) noexcept (true); extern _Float32x __scalblnf32x (_Float32x __x, long int __n) noexcept (true);



extern _Float32x nearbyintf32x (_Float32x __x) noexcept (true); extern _Float32x __nearbyintf32x (_Float32x __x) noexcept (true);



extern _Float32x roundf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __roundf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));



extern _Float32x truncf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __truncf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));




extern _Float32x remquof32x (_Float32x __x, _Float32x __y, int *__quo) noexcept (true); extern _Float32x __remquof32x (_Float32x __x, _Float32x __y, int *__quo) noexcept (true);






extern long int lrintf32x (_Float32x __x) noexcept (true); extern long int __lrintf32x (_Float32x __x) noexcept (true);
__extension__
extern long long int llrintf32x (_Float32x __x) noexcept (true); extern long long int __llrintf32x (_Float32x __x) noexcept (true);



extern long int lroundf32x (_Float32x __x) noexcept (true); extern long int __lroundf32x (_Float32x __x) noexcept (true);
__extension__
extern long long int llroundf32x (_Float32x __x) noexcept (true); extern long long int __llroundf32x (_Float32x __x) noexcept (true);



extern _Float32x fdimf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __fdimf32x (_Float32x __x, _Float32x __y) noexcept (true);



extern _Float32x fmaxf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaxf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));



extern _Float32x fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true); extern _Float32x __fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true);




extern _Float32x roundevenf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__)); extern _Float32x __roundevenf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef32x (_Float32x *__cx, const _Float32x *__x) noexcept (true);






extern _Float32x fmaxmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaxmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern _Float32x fmaximumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fmaximum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__)); extern _Float32x __fminimum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf32x (const _Float32x *__x, const _Float32x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf32x (const _Float32x *__x, const _Float32x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float32x getpayloadf32x (const _Float32x *__x) noexcept (true); extern _Float32x __getpayloadf32x (const _Float32x *__x) noexcept (true);


extern int setpayloadf32x (_Float32x *__x, _Float32x __payload) noexcept (true);


extern int setpayloadsigf32x (_Float32x *__x, _Float32x __payload) noexcept (true);
# 502 "/usr/include/math.h" 2 3 4
# 518 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 1 3 4
# 53 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
 extern _Float64x acosf64x (_Float64x __x) noexcept (true); extern _Float64x __acosf64x (_Float64x __x) noexcept (true);

 extern _Float64x asinf64x (_Float64x __x) noexcept (true); extern _Float64x __asinf64x (_Float64x __x) noexcept (true);

 extern _Float64x atanf64x (_Float64x __x) noexcept (true); extern _Float64x __atanf64x (_Float64x __x) noexcept (true);

 extern _Float64x atan2f64x (_Float64x __y, _Float64x __x) noexcept (true); extern _Float64x __atan2f64x (_Float64x __y, _Float64x __x) noexcept (true);


 extern _Float64x cosf64x (_Float64x __x) noexcept (true); extern _Float64x __cosf64x (_Float64x __x) noexcept (true);

 extern _Float64x sinf64x (_Float64x __x) noexcept (true); extern _Float64x __sinf64x (_Float64x __x) noexcept (true);

 extern _Float64x tanf64x (_Float64x __x) noexcept (true); extern _Float64x __tanf64x (_Float64x __x) noexcept (true);




 extern _Float64x coshf64x (_Float64x __x) noexcept (true); extern _Float64x __coshf64x (_Float64x __x) noexcept (true);

 extern _Float64x sinhf64x (_Float64x __x) noexcept (true); extern _Float64x __sinhf64x (_Float64x __x) noexcept (true);

 extern _Float64x tanhf64x (_Float64x __x) noexcept (true); extern _Float64x __tanhf64x (_Float64x __x) noexcept (true);



 extern void sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) noexcept (true); extern void __sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) noexcept (true)
                                                        ;




 extern _Float64x acoshf64x (_Float64x __x) noexcept (true); extern _Float64x __acoshf64x (_Float64x __x) noexcept (true);

 extern _Float64x asinhf64x (_Float64x __x) noexcept (true); extern _Float64x __asinhf64x (_Float64x __x) noexcept (true);

 extern _Float64x atanhf64x (_Float64x __x) noexcept (true); extern _Float64x __atanhf64x (_Float64x __x) noexcept (true);





 extern _Float64x expf64x (_Float64x __x) noexcept (true); extern _Float64x __expf64x (_Float64x __x) noexcept (true);


extern _Float64x frexpf64x (_Float64x __x, int *__exponent) noexcept (true); extern _Float64x __frexpf64x (_Float64x __x, int *__exponent) noexcept (true);


extern _Float64x ldexpf64x (_Float64x __x, int __exponent) noexcept (true); extern _Float64x __ldexpf64x (_Float64x __x, int __exponent) noexcept (true);


 extern _Float64x logf64x (_Float64x __x) noexcept (true); extern _Float64x __logf64x (_Float64x __x) noexcept (true);


 extern _Float64x log10f64x (_Float64x __x) noexcept (true); extern _Float64x __log10f64x (_Float64x __x) noexcept (true);


extern _Float64x modff64x (_Float64x __x, _Float64x *__iptr) noexcept (true); extern _Float64x __modff64x (_Float64x __x, _Float64x *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float64x exp10f64x (_Float64x __x) noexcept (true); extern _Float64x __exp10f64x (_Float64x __x) noexcept (true);




 extern _Float64x expm1f64x (_Float64x __x) noexcept (true); extern _Float64x __expm1f64x (_Float64x __x) noexcept (true);


 extern _Float64x log1pf64x (_Float64x __x) noexcept (true); extern _Float64x __log1pf64x (_Float64x __x) noexcept (true);


extern _Float64x logbf64x (_Float64x __x) noexcept (true); extern _Float64x __logbf64x (_Float64x __x) noexcept (true);




 extern _Float64x exp2f64x (_Float64x __x) noexcept (true); extern _Float64x __exp2f64x (_Float64x __x) noexcept (true);


 extern _Float64x log2f64x (_Float64x __x) noexcept (true); extern _Float64x __log2f64x (_Float64x __x) noexcept (true);






 extern _Float64x powf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __powf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64x sqrtf64x (_Float64x __x) noexcept (true); extern _Float64x __sqrtf64x (_Float64x __x) noexcept (true);



 extern _Float64x hypotf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __hypotf64x (_Float64x __x, _Float64x __y) noexcept (true);




 extern _Float64x cbrtf64x (_Float64x __x) noexcept (true); extern _Float64x __cbrtf64x (_Float64x __x) noexcept (true);






extern _Float64x ceilf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __ceilf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x fabsf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fabsf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x floorf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __floorf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmodf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __fmodf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 198 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x copysignf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __copysignf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern _Float64x nanf64x (const char *__tagb) noexcept (true); extern _Float64x __nanf64x (const char *__tagb) noexcept (true);
# 220 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x j0f64x (_Float64x) noexcept (true); extern _Float64x __j0f64x (_Float64x) noexcept (true);
extern _Float64x j1f64x (_Float64x) noexcept (true); extern _Float64x __j1f64x (_Float64x) noexcept (true);
extern _Float64x jnf64x (int, _Float64x) noexcept (true); extern _Float64x __jnf64x (int, _Float64x) noexcept (true);
extern _Float64x y0f64x (_Float64x) noexcept (true); extern _Float64x __y0f64x (_Float64x) noexcept (true);
extern _Float64x y1f64x (_Float64x) noexcept (true); extern _Float64x __y1f64x (_Float64x) noexcept (true);
extern _Float64x ynf64x (int, _Float64x) noexcept (true); extern _Float64x __ynf64x (int, _Float64x) noexcept (true);





 extern _Float64x erff64x (_Float64x) noexcept (true); extern _Float64x __erff64x (_Float64x) noexcept (true);
 extern _Float64x erfcf64x (_Float64x) noexcept (true); extern _Float64x __erfcf64x (_Float64x) noexcept (true);
extern _Float64x lgammaf64x (_Float64x) noexcept (true); extern _Float64x __lgammaf64x (_Float64x) noexcept (true);




extern _Float64x tgammaf64x (_Float64x) noexcept (true); extern _Float64x __tgammaf64x (_Float64x) noexcept (true);
# 252 "/usr/include/x86_64-linux-gnu/bits/mathcalls.h" 3 4
extern _Float64x lgammaf64x_r (_Float64x, int *__signgamp) noexcept (true); extern _Float64x __lgammaf64x_r (_Float64x, int *__signgamp) noexcept (true);






extern _Float64x rintf64x (_Float64x __x) noexcept (true); extern _Float64x __rintf64x (_Float64x __x) noexcept (true);


extern _Float64x nextafterf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __nextafterf64x (_Float64x __x, _Float64x __y) noexcept (true);






extern _Float64x nextdownf64x (_Float64x __x) noexcept (true); extern _Float64x __nextdownf64x (_Float64x __x) noexcept (true);

extern _Float64x nextupf64x (_Float64x __x) noexcept (true); extern _Float64x __nextupf64x (_Float64x __x) noexcept (true);



extern _Float64x remainderf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __remainderf64x (_Float64x __x, _Float64x __y) noexcept (true);



extern _Float64x scalbnf64x (_Float64x __x, int __n) noexcept (true); extern _Float64x __scalbnf64x (_Float64x __x, int __n) noexcept (true);



extern int ilogbf64x (_Float64x __x) noexcept (true); extern int __ilogbf64x (_Float64x __x) noexcept (true);




extern long int llogbf64x (_Float64x __x) noexcept (true); extern long int __llogbf64x (_Float64x __x) noexcept (true);




extern _Float64x scalblnf64x (_Float64x __x, long int __n) noexcept (true); extern _Float64x __scalblnf64x (_Float64x __x, long int __n) noexcept (true);



extern _Float64x nearbyintf64x (_Float64x __x) noexcept (true); extern _Float64x __nearbyintf64x (_Float64x __x) noexcept (true);



extern _Float64x roundf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __roundf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));



extern _Float64x truncf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __truncf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));




extern _Float64x remquof64x (_Float64x __x, _Float64x __y, int *__quo) noexcept (true); extern _Float64x __remquof64x (_Float64x __x, _Float64x __y, int *__quo) noexcept (true);






extern long int lrintf64x (_Float64x __x) noexcept (true); extern long int __lrintf64x (_Float64x __x) noexcept (true);
__extension__
extern long long int llrintf64x (_Float64x __x) noexcept (true); extern long long int __llrintf64x (_Float64x __x) noexcept (true);



extern long int lroundf64x (_Float64x __x) noexcept (true); extern long int __lroundf64x (_Float64x __x) noexcept (true);
__extension__
extern long long int llroundf64x (_Float64x __x) noexcept (true); extern long long int __llroundf64x (_Float64x __x) noexcept (true);



extern _Float64x fdimf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __fdimf64x (_Float64x __x, _Float64x __y) noexcept (true);



extern _Float64x fmaxf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaxf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));



extern _Float64x fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true); extern _Float64x __fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);




extern _Float64x roundevenf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__)); extern _Float64x __roundevenf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef64x (_Float64x *__cx, const _Float64x *__x) noexcept (true);






extern _Float64x fmaxmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaxmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern _Float64x fmaximumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fmaximum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__)); extern _Float64x __fminimum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf64x (const _Float64x *__x, const _Float64x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf64x (const _Float64x *__x, const _Float64x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float64x getpayloadf64x (const _Float64x *__x) noexcept (true); extern _Float64x __getpayloadf64x (const _Float64x *__x) noexcept (true);


extern int setpayloadf64x (_Float64x *__x, _Float64x __payload) noexcept (true);


extern int setpayloadsigf64x (_Float64x *__x, _Float64x __payload) noexcept (true);
# 519 "/usr/include/math.h" 2 3 4
# 566 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern float fadd (double __x, double __y) noexcept (true);


extern float fdiv (double __x, double __y) noexcept (true);


extern float ffma (double __x, double __y, double __z) noexcept (true);


extern float fmul (double __x, double __y) noexcept (true);


extern float fsqrt (double __x) noexcept (true);


extern float fsub (double __x, double __y) noexcept (true);
# 567 "/usr/include/math.h" 2 3 4
# 587 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern float faddl (long double __x, long double __y) noexcept (true);


extern float fdivl (long double __x, long double __y) noexcept (true);


extern float ffmal (long double __x, long double __y, long double __z) noexcept (true);


extern float fmull (long double __x, long double __y) noexcept (true);


extern float fsqrtl (long double __x) noexcept (true);


extern float fsubl (long double __x, long double __y) noexcept (true);
# 588 "/usr/include/math.h" 2 3 4
# 616 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern double daddl (long double __x, long double __y) noexcept (true);


extern double ddivl (long double __x, long double __y) noexcept (true);


extern double dfmal (long double __x, long double __y, long double __z) noexcept (true);


extern double dmull (long double __x, long double __y) noexcept (true);


extern double dsqrtl (long double __x) noexcept (true);


extern double dsubl (long double __x, long double __y) noexcept (true);
# 617 "/usr/include/math.h" 2 3 4
# 697 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32divf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true);


extern _Float32 f32mulf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32sqrtf32x (_Float32x __x) noexcept (true);


extern _Float32 f32subf32x (_Float32x __x, _Float32x __y) noexcept (true);
# 698 "/usr/include/math.h" 2 3 4
# 707 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32divf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);


extern _Float32 f32mulf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32sqrtf64 (_Float64 __x) noexcept (true);


extern _Float32 f32subf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 708 "/usr/include/math.h" 2 3 4
# 717 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32divf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float32 f32mulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32sqrtf64x (_Float64x __x) noexcept (true);


extern _Float32 f32subf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 718 "/usr/include/math.h" 2 3 4
# 727 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32 f32addf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32divf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float32 f32mulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32sqrtf128 (_Float128 __x) noexcept (true);


extern _Float32 f32subf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 728 "/usr/include/math.h" 2 3 4
# 747 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32x f32xaddf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xdivf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xfmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);


extern _Float32x f32xmulf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xsqrtf64 (_Float64 __x) noexcept (true);


extern _Float32x f32xsubf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 748 "/usr/include/math.h" 2 3 4
# 757 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32x f32xaddf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xdivf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xfmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float32x f32xmulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xsqrtf64x (_Float64x __x) noexcept (true);


extern _Float32x f32xsubf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 758 "/usr/include/math.h" 2 3 4
# 767 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float32x f32xaddf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xdivf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xfmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float32x f32xmulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xsqrtf128 (_Float128 __x) noexcept (true);


extern _Float32x f32xsubf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 768 "/usr/include/math.h" 2 3 4
# 787 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float64 f64addf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64divf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float64 f64mulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64sqrtf64x (_Float64x __x) noexcept (true);


extern _Float64 f64subf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 788 "/usr/include/math.h" 2 3 4
# 797 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float64 f64addf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64divf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float64 f64mulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64sqrtf128 (_Float128 __x) noexcept (true);


extern _Float64 f64subf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 798 "/usr/include/math.h" 2 3 4
# 817 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/mathcalls-narrow.h" 3 4
extern _Float64x f64xaddf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xdivf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xfmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float64x f64xmulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xsqrtf128 (_Float128 __x) noexcept (true);


extern _Float64x f64xsubf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 818 "/usr/include/math.h" 2 3 4
# 854 "/usr/include/math.h" 3 4
extern int signgam;
# 934 "/usr/include/math.h" 3 4
enum
  {
    FP_NAN =

      0,
    FP_INFINITE =

      1,
    FP_ZERO =

      2,
    FP_SUBNORMAL =

      3,
    FP_NORMAL =

      4
  };
# 1054 "/usr/include/math.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/iscanonical.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/bits/iscanonical.h" 3 4
extern int __iscanonicall (long double __x)
     noexcept (true) __attribute__ ((__const__));
# 46 "/usr/include/x86_64-linux-gnu/bits/iscanonical.h" 3 4
extern "C++" {
inline int iscanonical (float __val) { return ((void) (__typeof (__val)) (__val), 1); }
inline int iscanonical (double __val) { return ((void) (__typeof (__val)) (__val), 1); }
inline int iscanonical (long double __val) { return __iscanonicall (__val); }

inline int iscanonical (_Float128 __val) { return ((void) (__typeof (__val)) (__val), 1); }

}
# 1055 "/usr/include/math.h" 2 3 4
# 1066 "/usr/include/math.h" 3 4
extern "C++" {
inline int issignaling (float __val) { return __issignalingf (__val); }
inline int issignaling (double __val) { return __issignaling (__val); }
inline int
issignaling (long double __val)
{



  return __issignalingl (__val);

}



inline int issignaling (_Float128 __val) { return __issignalingf128 (__val); }

}
# 1097 "/usr/include/math.h" 3 4
extern "C++" {
# 1128 "/usr/include/math.h" 3 4
template <class __T> inline bool
iszero (__T __val)
{
  return __val == 0;
}

}
# 1363 "/usr/include/math.h" 3 4
extern "C++" {
template<typename> struct __iseqsig_type;

template<> struct __iseqsig_type<float>
{
  static int __call (float __x, float __y) throw ()
  {
    return __iseqsigf (__x, __y);
  }
};

template<> struct __iseqsig_type<double>
{
  static int __call (double __x, double __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};

template<> struct __iseqsig_type<long double>
{
  static int __call (long double __x, long double __y) throw ()
  {

    return __iseqsigl (__x, __y);



  }
};




template<> struct __iseqsig_type<_Float128>
{
  static int __call (_Float128 __x, _Float128 __y) throw ()
  {
    return __iseqsigf128 (__x, __y);
  }
};


template<typename _T1, typename _T2>
inline int
iseqsig (_T1 __x, _T2 __y) throw ()
{

  typedef decltype (((__x) + (__y) + 0.0f)) _T3;



  return __iseqsig_type<_T3>::__call (__x, __y);
}

}




}
# 46 "/usr/include/c++/11/cmath" 2 3

# 1 "/usr/include/c++/11/bits/std_abs.h" 1 3
# 33 "/usr/include/c++/11/bits/std_abs.h" 3
       
# 34 "/usr/include/c++/11/bits/std_abs.h" 3




# 1 "/usr/include/stdlib.h" 1 3 4
# 26 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/libc-header-start.h" 1 3 4
# 27 "/usr/include/stdlib.h" 2 3 4





# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 33 "/usr/include/stdlib.h" 2 3 4

extern "C" {





# 1 "/usr/include/x86_64-linux-gnu/bits/waitflags.h" 1 3 4
# 41 "/usr/include/stdlib.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/waitstatus.h" 1 3 4
# 42 "/usr/include/stdlib.h" 2 3 4
# 59 "/usr/include/stdlib.h" 3 4
typedef struct
  {
    int quot;
    int rem;
  } div_t;



typedef struct
  {
    long int quot;
    long int rem;
  } ldiv_t;





__extension__ typedef struct
  {
    long long int quot;
    long long int rem;
  } lldiv_t;
# 98 "/usr/include/stdlib.h" 3 4
extern size_t __ctype_get_mb_cur_max (void) noexcept (true) ;



extern double atof (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern int atoi (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;

extern long int atol (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



__extension__ extern long long int atoll (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;



extern double strtod (const char *__restrict __nptr,
        char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern float strtof (const char *__restrict __nptr,
       char **__restrict __endptr) noexcept (true) __attribute__ ((__nonnull__ (1)));

extern long double strtold (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 141 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64 strtof64 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float128 strtof128 (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float32x strtof32x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64x strtof64x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 177 "/usr/include/stdlib.h" 3 4
extern long int strtol (const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

extern unsigned long int strtoul (const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



__extension__
extern long long int strtoq (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr,
           char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));




__extension__
extern long long int strtoll (const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr,
     char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));




extern int strfromd (char *__dest, size_t __size, const char *__format,
       double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfromf (char *__dest, size_t __size, const char *__format,
       float __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfroml (char *__dest, size_t __size, const char *__format,
       long double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 233 "/usr/include/stdlib.h" 3 4
extern int strfromf32 (char *__dest, size_t __size, const char * __format,
         _Float32 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64 (char *__dest, size_t __size, const char * __format,
         _Float64 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf128 (char *__dest, size_t __size, const char * __format,
   _Float128 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf32x (char *__dest, size_t __size, const char * __format,
   _Float32x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64x (char *__dest, size_t __size, const char * __format,
   _Float64x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 275 "/usr/include/stdlib.h" 3 4
extern long int strtol_l (const char *__restrict __nptr,
     char **__restrict __endptr, int __base,
     locale_t __loc) noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

extern unsigned long int strtoul_l (const char *__restrict __nptr,
        char **__restrict __endptr,
        int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern long long int strtoll_l (const char *__restrict __nptr,
    char **__restrict __endptr, int __base,
    locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

extern double strtod_l (const char *__restrict __nptr,
   char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern float strtof_l (const char *__restrict __nptr,
         char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern long double strtold_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 317 "/usr/include/stdlib.h" 3 4
extern _Float32 strtof32_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64 strtof64_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float128 strtof128_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float32x strtof32x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64x strtof64x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 386 "/usr/include/stdlib.h" 3 4
extern char *l64a (long int __n) noexcept (true) ;


extern long int a64l (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) ;




# 1 "/usr/include/x86_64-linux-gnu/sys/types.h" 1 3 4
# 27 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
extern "C" {





typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;


typedef __loff_t loff_t;




typedef __ino_t ino_t;






typedef __ino64_t ino64_t;




typedef __dev_t dev_t;




typedef __gid_t gid_t;




typedef __mode_t mode_t;




typedef __nlink_t nlink_t;




typedef __uid_t uid_t;





typedef __off_t off_t;






typedef __off64_t off64_t;
# 103 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __id_t id_t;




typedef __ssize_t ssize_t;





typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_t;
# 134 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;





# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 145 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;




# 1 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 1 3 4
# 24 "/usr/include/x86_64-linux-gnu/bits/stdint-intn.h" 3 4
typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
# 156 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4


typedef __uint8_t u_int8_t;
typedef __uint16_t u_int16_t;
typedef __uint32_t u_int32_t;
typedef __uint64_t u_int64_t;


typedef int register_t __attribute__ ((__mode__ (__word__)));
# 176 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
# 1 "/usr/include/endian.h" 1 3 4
# 35 "/usr/include/endian.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 1 3 4
# 33 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
static __inline __uint16_t
__bswap_16 (__uint16_t __bsx)
{

  return __builtin_bswap16 (__bsx);



}






static __inline __uint32_t
__bswap_32 (__uint32_t __bsx)
{

  return __builtin_bswap32 (__bsx);



}
# 69 "/usr/include/x86_64-linux-gnu/bits/byteswap.h" 3 4
__extension__ static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{

  return __builtin_bswap64 (__bsx);



}
# 36 "/usr/include/endian.h" 2 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 1 3 4
# 32 "/usr/include/x86_64-linux-gnu/bits/uintn-identity.h" 3 4
static __inline __uint16_t
__uint16_identity (__uint16_t __x)
{
  return __x;
}

static __inline __uint32_t
__uint32_identity (__uint32_t __x)
{
  return __x;
}

static __inline __uint64_t
__uint64_identity (__uint64_t __x)
{
  return __x;
}
# 37 "/usr/include/endian.h" 2 3 4
# 177 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/sys/select.h" 1 3 4
# 30 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/select.h" 1 3 4
# 31 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4


# 1 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 1 3 4



# 1 "/usr/include/x86_64-linux-gnu/bits/types/__sigset_t.h" 1 3 4




typedef struct
{
  unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
} __sigset_t;
# 5 "/usr/include/x86_64-linux-gnu/bits/types/sigset_t.h" 2 3 4


typedef __sigset_t sigset_t;
# 34 "/usr/include/x86_64-linux-gnu/sys/select.h" 2 3 4
# 49 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
typedef long int __fd_mask;
# 59 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
typedef struct
  {



    __fd_mask fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];





  } fd_set;






typedef __fd_mask fd_mask;
# 91 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern "C" {
# 102 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern int select (int __nfds, fd_set *__restrict __readfds,
     fd_set *__restrict __writefds,
     fd_set *__restrict __exceptfds,
     struct timeval *__restrict __timeout);
# 127 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
extern int pselect (int __nfds, fd_set *__restrict __readfds,
      fd_set *__restrict __writefds,
      fd_set *__restrict __exceptfds,
      const struct timespec *__restrict __timeout,
      const __sigset_t *__restrict __sigmask);
# 153 "/usr/include/x86_64-linux-gnu/sys/select.h" 3 4
}
# 180 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4





typedef __blksize_t blksize_t;






typedef __blkcnt_t blkcnt_t;



typedef __fsblkcnt_t fsblkcnt_t;



typedef __fsfilcnt_t fsfilcnt_t;
# 219 "/usr/include/x86_64-linux-gnu/sys/types.h" 3 4
typedef __blkcnt64_t blkcnt64_t;
typedef __fsblkcnt64_t fsblkcnt64_t;
typedef __fsfilcnt64_t fsfilcnt64_t;





# 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 1 3 4
# 44 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 1 3 4
# 21 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/wordsize.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes-arch.h" 2 3 4
# 45 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4

# 1 "/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h" 1 3 4
# 25 "/usr/include/x86_64-linux-gnu/bits/atomic_wide_counter.h" 3 4
typedef union
{
  __extension__ unsigned long long int __value64;
  struct
  {
    unsigned int __low;
    unsigned int __high;
  } __value32;
} __atomic_wide_counter;
# 47 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4




typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;

typedef struct __pthread_internal_slist
{
  struct __pthread_internal_slist *__next;
} __pthread_slist_t;
# 76 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h" 1 3 4
# 22 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h" 3 4
struct __pthread_mutex_s
{
  int __lock;
  unsigned int __count;
  int __owner;

  unsigned int __nusers;



  int __kind;

  short __spins;
  short __elision;
  __pthread_list_t __list;
# 53 "/usr/include/x86_64-linux-gnu/bits/struct_mutex.h" 3 4
};
# 77 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4
# 89 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h" 1 3 4
# 23 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h" 3 4
struct __pthread_rwlock_arch_t
{
  unsigned int __readers;
  unsigned int __writers;
  unsigned int __wrphase_futex;
  unsigned int __writers_futex;
  unsigned int __pad3;
  unsigned int __pad4;

  int __cur_writer;
  int __shared;
  signed char __rwelision;




  unsigned char __pad1[7];


  unsigned long int __pad2;


  unsigned int __flags;
# 55 "/usr/include/x86_64-linux-gnu/bits/struct_rwlock.h" 3 4
};
# 90 "/usr/include/x86_64-linux-gnu/bits/thread-shared-types.h" 2 3 4




struct __pthread_cond_s
{
  __atomic_wide_counter __wseq;
  __atomic_wide_counter __g1_start;
  unsigned int __g_refs[2] ;
  unsigned int __g_size[2];
  unsigned int __g1_orig_size;
  unsigned int __wrefs;
  unsigned int __g_signals[2];
};

typedef unsigned int __tss_t;
typedef unsigned long int __thrd_t;

typedef struct
{
  int __data ;
} __once_flag;
# 24 "/usr/include/x86_64-linux-gnu/bits/pthreadtypes.h" 2 3 4



typedef unsigned long int pthread_t;




typedef union
{
  char __size[4];
  int __align;
} pthread_mutexattr_t;




typedef union
{
  char __size[4];
  int __align;
} pthread_condattr_t;



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;


union pthread_attr_t
{
  char __size[56];
  long int __align;
};

typedef union pthread_attr_t pthread_attr_t;




typedef union
{
  struct __pthread_mutex_s __data;
  char __size[40];
  long int __align;
} pthread_mutex_t;


typedef union
{
  struct __pthread_cond_s __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;





typedef union
{
  struct __pthread_rwlock_arch_t __data;
  char __size[56];
  long int __align;
} pthread_rwlock_t;

typedef union
{
  char __size[8];
  long int __align;
} pthread_rwlockattr_t;





typedef volatile int pthread_spinlock_t;




typedef union
{
  char __size[32];
  long int __align;
} pthread_barrier_t;

typedef union
{
  char __size[4];
  int __align;
} pthread_barrierattr_t;
# 228 "/usr/include/x86_64-linux-gnu/sys/types.h" 2 3 4


}
# 396 "/usr/include/stdlib.h" 2 3 4






extern long int random (void) noexcept (true);


extern void srandom (unsigned int __seed) noexcept (true);





extern char *initstate (unsigned int __seed, char *__statebuf,
   size_t __statelen) noexcept (true) __attribute__ ((__nonnull__ (2)));



extern char *setstate (char *__statebuf) noexcept (true) __attribute__ ((__nonnull__ (1)));







struct random_data
  {
    int32_t *fptr;
    int32_t *rptr;
    int32_t *state;
    int rand_type;
    int rand_deg;
    int rand_sep;
    int32_t *end_ptr;
  };

extern int random_r (struct random_data *__restrict __buf,
       int32_t *__restrict __result) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern int srandom_r (unsigned int __seed, struct random_data *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (2)));

extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
   size_t __statelen,
   struct random_data *__restrict __buf)
     noexcept (true) __attribute__ ((__nonnull__ (2, 4)));

extern int setstate_r (char *__restrict __statebuf,
         struct random_data *__restrict __buf)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));





extern int rand (void) noexcept (true);

extern void srand (unsigned int __seed) noexcept (true);



extern int rand_r (unsigned int *__seed) noexcept (true);







extern double drand48 (void) noexcept (true);
extern double erand48 (unsigned short int __xsubi[3]) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern long int lrand48 (void) noexcept (true);
extern long int nrand48 (unsigned short int __xsubi[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern long int mrand48 (void) noexcept (true);
extern long int jrand48 (unsigned short int __xsubi[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void srand48 (long int __seedval) noexcept (true);
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));
extern void lcong48 (unsigned short int __param[7]) noexcept (true) __attribute__ ((__nonnull__ (1)));





struct drand48_data
  {
    unsigned short int __x[3];
    unsigned short int __old_x[3];
    unsigned short int __c;
    unsigned short int __init;
    __extension__ unsigned long long int __a;

  };


extern int drand48_r (struct drand48_data *__restrict __buffer,
        double *__restrict __result) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int erand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        double *__restrict __result) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int lrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int nrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int mrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int jrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
     noexcept (true) __attribute__ ((__nonnull__ (2)));

extern int seed48_r (unsigned short int __seed16v[3],
       struct drand48_data *__buffer) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern int lcong48_r (unsigned short int __param[7],
        struct drand48_data *__buffer)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern void *malloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) ;

extern void *calloc (size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (1, 2))) ;






extern void *realloc (void *__ptr, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__alloc_size__ (2)));


extern void free (void *__ptr) noexcept (true);







extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__))
     __attribute__ ((__alloc_size__ (2, 3)))
    __attribute__ ((__malloc__ (__builtin_free, 1)));


extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__ (reallocarray, 1)));



# 1 "/usr/include/alloca.h" 1 3 4
# 24 "/usr/include/alloca.h" 3 4
# 1 "/usr/lib/gcc/x86_64-linux-gnu/11/include/stddef.h" 1 3 4
# 25 "/usr/include/alloca.h" 2 3 4

extern "C" {





extern void *alloca (size_t __size) noexcept (true);





}
# 575 "/usr/include/stdlib.h" 2 3 4





extern void *valloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) ;




extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
     noexcept (true) __attribute__ ((__nonnull__ (1))) ;




extern void *aligned_alloc (size_t __alignment, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_align__ (1)))
     __attribute__ ((__alloc_size__ (2))) ;



extern void abort (void) noexcept (true) __attribute__ ((__noreturn__));



extern int atexit (void (*__func) (void)) noexcept (true) __attribute__ ((__nonnull__ (1)));




extern "C++" int at_quick_exit (void (*__func) (void))
     noexcept (true) __asm ("at_quick_exit") __attribute__ ((__nonnull__ (1)));
# 617 "/usr/include/stdlib.h" 3 4
extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
     noexcept (true) __attribute__ ((__nonnull__ (1)));





extern void exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void quick_exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void _Exit (int __status) noexcept (true) __attribute__ ((__noreturn__));




extern char *getenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1))) ;




extern char *secure_getenv (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) ;






extern int putenv (char *__string) noexcept (true) __attribute__ ((__nonnull__ (1)));





extern int setenv (const char *__name, const char *__value, int __replace)
     noexcept (true) __attribute__ ((__nonnull__ (2)));


extern int unsetenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1)));






extern int clearenv (void) noexcept (true);
# 682 "/usr/include/stdlib.h" 3 4
extern char *mktemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1)));
# 695 "/usr/include/stdlib.h" 3 4
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 705 "/usr/include/stdlib.h" 3 4
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) ;
# 717 "/usr/include/stdlib.h" 3 4
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) ;
# 727 "/usr/include/stdlib.h" 3 4
extern int mkstemps64 (char *__template, int __suffixlen)
     __attribute__ ((__nonnull__ (1))) ;
# 738 "/usr/include/stdlib.h" 3 4
extern char *mkdtemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1))) ;
# 749 "/usr/include/stdlib.h" 3 4
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 759 "/usr/include/stdlib.h" 3 4
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) ;
# 769 "/usr/include/stdlib.h" 3 4
extern int mkostemps (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 781 "/usr/include/stdlib.h" 3 4
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) ;
# 791 "/usr/include/stdlib.h" 3 4
extern int system (const char *__command) ;





extern char *canonicalize_file_name (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__malloc__))
     __attribute__ ((__malloc__ (__builtin_free, 1))) ;
# 808 "/usr/include/stdlib.h" 3 4
extern char *realpath (const char *__restrict __name,
         char *__restrict __resolved) noexcept (true) ;






typedef int (*__compar_fn_t) (const void *, const void *);


typedef __compar_fn_t comparison_fn_t;



typedef int (*__compar_d_fn_t) (const void *, const void *, void *);




extern void *bsearch (const void *__key, const void *__base,
        size_t __nmemb, size_t __size, __compar_fn_t __compar)
     __attribute__ ((__nonnull__ (1, 2, 5))) ;







extern void qsort (void *__base, size_t __nmemb, size_t __size,
     __compar_fn_t __compar) __attribute__ ((__nonnull__ (1, 4)));

extern void qsort_r (void *__base, size_t __nmemb, size_t __size,
       __compar_d_fn_t __compar, void *__arg)
  __attribute__ ((__nonnull__ (1, 4)));




extern int abs (int __x) noexcept (true) __attribute__ ((__const__)) ;
extern long int labs (long int __x) noexcept (true) __attribute__ ((__const__)) ;


__extension__ extern long long int llabs (long long int __x)
     noexcept (true) __attribute__ ((__const__)) ;






extern div_t div (int __numer, int __denom)
     noexcept (true) __attribute__ ((__const__)) ;
extern ldiv_t ldiv (long int __numer, long int __denom)
     noexcept (true) __attribute__ ((__const__)) ;


__extension__ extern lldiv_t lldiv (long long int __numer,
        long long int __denom)
     noexcept (true) __attribute__ ((__const__)) ;
# 880 "/usr/include/stdlib.h" 3 4
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;




extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;




extern char *gcvt (double __value, int __ndigit, char *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (3))) ;




extern char *qecvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qfcvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4))) ;
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (3))) ;




extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));
extern int fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));

extern int qecvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));
extern int qfcvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));





extern int mblen (const char *__s, size_t __n) noexcept (true);


extern int mbtowc (wchar_t *__restrict __pwc,
     const char *__restrict __s, size_t __n) noexcept (true);


extern int wctomb (char *__s, wchar_t __wchar) noexcept (true);



extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   const char *__restrict __s, size_t __n) noexcept (true)
    __attribute__ ((__access__ (__read_only__, 2)));

extern size_t wcstombs (char *__restrict __s,
   const wchar_t *__restrict __pwcs, size_t __n)
     noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1, 3)))
  __attribute__ ((__access__ (__read_only__, 2)));






extern int rpmatch (const char *__response) noexcept (true) __attribute__ ((__nonnull__ (1))) ;
# 967 "/usr/include/stdlib.h" 3 4
extern int getsubopt (char **__restrict __optionp,
        char *const *__restrict __tokens,
        char **__restrict __valuep)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2, 3))) ;







extern int posix_openpt (int __oflag) ;







extern int grantpt (int __fd) noexcept (true);



extern int unlockpt (int __fd) noexcept (true);




extern char *ptsname (int __fd) noexcept (true) ;






extern int ptsname_r (int __fd, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 1023 "/usr/include/stdlib.h" 3 4
# 1 "/usr/include/x86_64-linux-gnu/bits/stdlib-float.h" 1 3 4
# 1024 "/usr/include/stdlib.h" 2 3 4
# 1035 "/usr/include/stdlib.h" 3 4
}
# 39 "/usr/include/c++/11/bits/std_abs.h" 2 3







extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::abs;


  inline long
  abs(long __i) { return __builtin_labs(__i); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }
# 70 "/usr/include/c++/11/bits/std_abs.h" 3
  inline constexpr double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline constexpr float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }



  inline constexpr __int128
  abs(__int128 __x) { return __x >= 0 ? __x : -__x; }
# 107 "/usr/include/c++/11/bits/std_abs.h" 3

}
}
# 48 "/usr/include/c++/11/cmath" 2 3
# 77 "/usr/include/c++/11/cmath" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::acos;


  inline constexpr float
  acos(float __x)
  { return __builtin_acosf(__x); }

  inline constexpr long double
  acos(long double __x)
  { return __builtin_acosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    acos(_Tp __x)
    { return __builtin_acos(__x); }

  using ::asin;


  inline constexpr float
  asin(float __x)
  { return __builtin_asinf(__x); }

  inline constexpr long double
  asin(long double __x)
  { return __builtin_asinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    asin(_Tp __x)
    { return __builtin_asin(__x); }

  using ::atan;


  inline constexpr float
  atan(float __x)
  { return __builtin_atanf(__x); }

  inline constexpr long double
  atan(long double __x)
  { return __builtin_atanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    atan(_Tp __x)
    { return __builtin_atan(__x); }

  using ::atan2;


  inline constexpr float
  atan2(float __y, float __x)
  { return __builtin_atan2f(__y, __x); }

  inline constexpr long double
  atan2(long double __y, long double __x)
  { return __builtin_atan2l(__y, __x); }


  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    atan2(_Tp __y, _Up __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return atan2(__type(__y), __type(__x));
    }

  using ::ceil;


  inline constexpr float
  ceil(float __x)
  { return __builtin_ceilf(__x); }

  inline constexpr long double
  ceil(long double __x)
  { return __builtin_ceill(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ceil(_Tp __x)
    { return __builtin_ceil(__x); }

  using ::cos;


  inline constexpr float
  cos(float __x)
  { return __builtin_cosf(__x); }

  inline constexpr long double
  cos(long double __x)
  { return __builtin_cosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cos(_Tp __x)
    { return __builtin_cos(__x); }

  using ::cosh;


  inline constexpr float
  cosh(float __x)
  { return __builtin_coshf(__x); }

  inline constexpr long double
  cosh(long double __x)
  { return __builtin_coshl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cosh(_Tp __x)
    { return __builtin_cosh(__x); }

  using ::exp;


  inline constexpr float
  exp(float __x)
  { return __builtin_expf(__x); }

  inline constexpr long double
  exp(long double __x)
  { return __builtin_expl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    exp(_Tp __x)
    { return __builtin_exp(__x); }

  using ::fabs;


  inline constexpr float
  fabs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  fabs(long double __x)
  { return __builtin_fabsl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    fabs(_Tp __x)
    { return __builtin_fabs(__x); }

  using ::floor;


  inline constexpr float
  floor(float __x)
  { return __builtin_floorf(__x); }

  inline constexpr long double
  floor(long double __x)
  { return __builtin_floorl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    floor(_Tp __x)
    { return __builtin_floor(__x); }

  using ::fmod;


  inline constexpr float
  fmod(float __x, float __y)
  { return __builtin_fmodf(__x, __y); }

  inline constexpr long double
  fmod(long double __x, long double __y)
  { return __builtin_fmodl(__x, __y); }


  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmod(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmod(__type(__x), __type(__y));
    }

  using ::frexp;


  inline float
  frexp(float __x, int* __exp)
  { return __builtin_frexpf(__x, __exp); }

  inline long double
  frexp(long double __x, int* __exp)
  { return __builtin_frexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    frexp(_Tp __x, int* __exp)
    { return __builtin_frexp(__x, __exp); }

  using ::ldexp;


  inline constexpr float
  ldexp(float __x, int __exp)
  { return __builtin_ldexpf(__x, __exp); }

  inline constexpr long double
  ldexp(long double __x, int __exp)
  { return __builtin_ldexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ldexp(_Tp __x, int __exp)
    { return __builtin_ldexp(__x, __exp); }

  using ::log;


  inline constexpr float
  log(float __x)
  { return __builtin_logf(__x); }

  inline constexpr long double
  log(long double __x)
  { return __builtin_logl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log(_Tp __x)
    { return __builtin_log(__x); }

  using ::log10;


  inline constexpr float
  log10(float __x)
  { return __builtin_log10f(__x); }

  inline constexpr long double
  log10(long double __x)
  { return __builtin_log10l(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log10(_Tp __x)
    { return __builtin_log10(__x); }

  using ::modf;


  inline float
  modf(float __x, float* __iptr)
  { return __builtin_modff(__x, __iptr); }

  inline long double
  modf(long double __x, long double* __iptr)
  { return __builtin_modfl(__x, __iptr); }


  using ::pow;


  inline constexpr float
  pow(float __x, float __y)
  { return __builtin_powf(__x, __y); }

  inline constexpr long double
  pow(long double __x, long double __y)
  { return __builtin_powl(__x, __y); }
# 412 "/usr/include/c++/11/cmath" 3
  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    pow(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return pow(__type(__x), __type(__y));
    }

  using ::sin;


  inline constexpr float
  sin(float __x)
  { return __builtin_sinf(__x); }

  inline constexpr long double
  sin(long double __x)
  { return __builtin_sinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sin(_Tp __x)
    { return __builtin_sin(__x); }

  using ::sinh;


  inline constexpr float
  sinh(float __x)
  { return __builtin_sinhf(__x); }

  inline constexpr long double
  sinh(long double __x)
  { return __builtin_sinhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sinh(_Tp __x)
    { return __builtin_sinh(__x); }

  using ::sqrt;


  inline constexpr float
  sqrt(float __x)
  { return __builtin_sqrtf(__x); }

  inline constexpr long double
  sqrt(long double __x)
  { return __builtin_sqrtl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sqrt(_Tp __x)
    { return __builtin_sqrt(__x); }

  using ::tan;


  inline constexpr float
  tan(float __x)
  { return __builtin_tanf(__x); }

  inline constexpr long double
  tan(long double __x)
  { return __builtin_tanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tan(_Tp __x)
    { return __builtin_tan(__x); }

  using ::tanh;


  inline constexpr float
  tanh(float __x)
  { return __builtin_tanhf(__x); }

  inline constexpr long double
  tanh(long double __x)
  { return __builtin_tanhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tanh(_Tp __x)
    { return __builtin_tanh(__x); }
# 536 "/usr/include/c++/11/cmath" 3
  constexpr int
  fpclassify(float __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(long double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              int>::__type
    fpclassify(_Tp __x)
    { return __x != 0 ? 4 : 2; }



  constexpr bool
  isfinite(float __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(double __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(long double __x)
  { return __builtin_isfinite(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isfinite(_Tp __x)
    { return true; }



  constexpr bool
  isinf(float __x)
  { return __builtin_isinf(__x); }





  constexpr bool
  isinf(double __x)
  { return __builtin_isinf(__x); }


  constexpr bool
  isinf(long double __x)
  { return __builtin_isinf(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isinf(_Tp __x)
    { return false; }



  constexpr bool
  isnan(float __x)
  { return __builtin_isnan(__x); }





  constexpr bool
  isnan(double __x)
  { return __builtin_isnan(__x); }


  constexpr bool
  isnan(long double __x)
  { return __builtin_isnan(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnan(_Tp __x)
    { return false; }



  constexpr bool
  isnormal(float __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(double __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(long double __x)
  { return __builtin_isnormal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnormal(_Tp __x)
    { return __x != 0 ? true : false; }




  constexpr bool
  signbit(float __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(double __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(long double __x)
  { return __builtin_signbit(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    signbit(_Tp __x)
    { return __x < 0 ? true : false; }



  constexpr bool
  isgreater(float __x, float __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(double __x, double __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(long double __x, long double __y)
  { return __builtin_isgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isgreaterequal(float __x, float __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(double __x, double __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(long double __x, long double __y)
  { return __builtin_isgreaterequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreaterequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreaterequal(__type(__x), __type(__y));
    }



  constexpr bool
  isless(float __x, float __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(double __x, double __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(long double __x, long double __y)
  { return __builtin_isless(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isless(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isless(__type(__x), __type(__y));
    }



  constexpr bool
  islessequal(float __x, float __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(double __x, double __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(long double __x, long double __y)
  { return __builtin_islessequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessequal(__type(__x), __type(__y));
    }



  constexpr bool
  islessgreater(float __x, float __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(double __x, double __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(long double __x, long double __y)
  { return __builtin_islessgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isunordered(float __x, float __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(double __x, double __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(long double __x, long double __y)
  { return __builtin_isunordered(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isunordered(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isunordered(__type(__x), __type(__y));
    }
# 1065 "/usr/include/c++/11/cmath" 3
  using ::double_t;
  using ::float_t;


  using ::acosh;
  using ::acoshf;
  using ::acoshl;

  using ::asinh;
  using ::asinhf;
  using ::asinhl;

  using ::atanh;
  using ::atanhf;
  using ::atanhl;

  using ::cbrt;
  using ::cbrtf;
  using ::cbrtl;

  using ::copysign;
  using ::copysignf;
  using ::copysignl;

  using ::erf;
  using ::erff;
  using ::erfl;

  using ::erfc;
  using ::erfcf;
  using ::erfcl;

  using ::exp2;
  using ::exp2f;
  using ::exp2l;

  using ::expm1;
  using ::expm1f;
  using ::expm1l;

  using ::fdim;
  using ::fdimf;
  using ::fdiml;

  using ::fma;
  using ::fmaf;
  using ::fmal;

  using ::fmax;
  using ::fmaxf;
  using ::fmaxl;

  using ::fmin;
  using ::fminf;
  using ::fminl;

  using ::hypot;
  using ::hypotf;
  using ::hypotl;

  using ::ilogb;
  using ::ilogbf;
  using ::ilogbl;

  using ::lgamma;
  using ::lgammaf;
  using ::lgammal;


  using ::llrint;
  using ::llrintf;
  using ::llrintl;

  using ::llround;
  using ::llroundf;
  using ::llroundl;


  using ::log1p;
  using ::log1pf;
  using ::log1pl;

  using ::log2;
  using ::log2f;
  using ::log2l;

  using ::logb;
  using ::logbf;
  using ::logbl;

  using ::lrint;
  using ::lrintf;
  using ::lrintl;

  using ::lround;
  using ::lroundf;
  using ::lroundl;

  using ::nan;
  using ::nanf;
  using ::nanl;

  using ::nearbyint;
  using ::nearbyintf;
  using ::nearbyintl;

  using ::nextafter;
  using ::nextafterf;
  using ::nextafterl;

  using ::nexttoward;
  using ::nexttowardf;
  using ::nexttowardl;

  using ::remainder;
  using ::remainderf;
  using ::remainderl;

  using ::remquo;
  using ::remquof;
  using ::remquol;

  using ::rint;
  using ::rintf;
  using ::rintl;

  using ::round;
  using ::roundf;
  using ::roundl;

  using ::scalbln;
  using ::scalblnf;
  using ::scalblnl;

  using ::scalbn;
  using ::scalbnf;
  using ::scalbnl;

  using ::tgamma;
  using ::tgammaf;
  using ::tgammal;

  using ::trunc;
  using ::truncf;
  using ::truncl;



  constexpr float
  acosh(float __x)
  { return __builtin_acoshf(__x); }

  constexpr long double
  acosh(long double __x)
  { return __builtin_acoshl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    acosh(_Tp __x)
    { return __builtin_acosh(__x); }



  constexpr float
  asinh(float __x)
  { return __builtin_asinhf(__x); }

  constexpr long double
  asinh(long double __x)
  { return __builtin_asinhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    asinh(_Tp __x)
    { return __builtin_asinh(__x); }



  constexpr float
  atanh(float __x)
  { return __builtin_atanhf(__x); }

  constexpr long double
  atanh(long double __x)
  { return __builtin_atanhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    atanh(_Tp __x)
    { return __builtin_atanh(__x); }



  constexpr float
  cbrt(float __x)
  { return __builtin_cbrtf(__x); }

  constexpr long double
  cbrt(long double __x)
  { return __builtin_cbrtl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    cbrt(_Tp __x)
    { return __builtin_cbrt(__x); }



  constexpr float
  copysign(float __x, float __y)
  { return __builtin_copysignf(__x, __y); }

  constexpr long double
  copysign(long double __x, long double __y)
  { return __builtin_copysignl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    copysign(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return copysign(__type(__x), __type(__y));
    }



  constexpr float
  erf(float __x)
  { return __builtin_erff(__x); }

  constexpr long double
  erf(long double __x)
  { return __builtin_erfl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erf(_Tp __x)
    { return __builtin_erf(__x); }



  constexpr float
  erfc(float __x)
  { return __builtin_erfcf(__x); }

  constexpr long double
  erfc(long double __x)
  { return __builtin_erfcl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erfc(_Tp __x)
    { return __builtin_erfc(__x); }



  constexpr float
  exp2(float __x)
  { return __builtin_exp2f(__x); }

  constexpr long double
  exp2(long double __x)
  { return __builtin_exp2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    exp2(_Tp __x)
    { return __builtin_exp2(__x); }



  constexpr float
  expm1(float __x)
  { return __builtin_expm1f(__x); }

  constexpr long double
  expm1(long double __x)
  { return __builtin_expm1l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    expm1(_Tp __x)
    { return __builtin_expm1(__x); }



  constexpr float
  fdim(float __x, float __y)
  { return __builtin_fdimf(__x, __y); }

  constexpr long double
  fdim(long double __x, long double __y)
  { return __builtin_fdiml(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fdim(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fdim(__type(__x), __type(__y));
    }



  constexpr float
  fma(float __x, float __y, float __z)
  { return __builtin_fmaf(__x, __y, __z); }

  constexpr long double
  fma(long double __x, long double __y, long double __z)
  { return __builtin_fmal(__x, __y, __z); }



  template<typename _Tp, typename _Up, typename _Vp>
    constexpr typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
    fma(_Tp __x, _Up __y, _Vp __z)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
      return fma(__type(__x), __type(__y), __type(__z));
    }



  constexpr float
  fmax(float __x, float __y)
  { return __builtin_fmaxf(__x, __y); }

  constexpr long double
  fmax(long double __x, long double __y)
  { return __builtin_fmaxl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmax(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmax(__type(__x), __type(__y));
    }



  constexpr float
  fmin(float __x, float __y)
  { return __builtin_fminf(__x, __y); }

  constexpr long double
  fmin(long double __x, long double __y)
  { return __builtin_fminl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmin(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmin(__type(__x), __type(__y));
    }



  constexpr float
  hypot(float __x, float __y)
  { return __builtin_hypotf(__x, __y); }

  constexpr long double
  hypot(long double __x, long double __y)
  { return __builtin_hypotl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    hypot(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return hypot(__type(__x), __type(__y));
    }



  constexpr int
  ilogb(float __x)
  { return __builtin_ilogbf(__x); }

  constexpr int
  ilogb(long double __x)
  { return __builtin_ilogbl(__x); }



  template<typename _Tp>
    constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    int>::__type
    ilogb(_Tp __x)
    { return __builtin_ilogb(__x); }



  constexpr float
  lgamma(float __x)
  { return __builtin_lgammaf(__x); }

  constexpr long double
  lgamma(long double __x)
  { return __builtin_lgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    lgamma(_Tp __x)
    { return __builtin_lgamma(__x); }



  constexpr long long
  llrint(float __x)
  { return __builtin_llrintf(__x); }

  constexpr long long
  llrint(long double __x)
  { return __builtin_llrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llrint(_Tp __x)
    { return __builtin_llrint(__x); }



  constexpr long long
  llround(float __x)
  { return __builtin_llroundf(__x); }

  constexpr long long
  llround(long double __x)
  { return __builtin_llroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llround(_Tp __x)
    { return __builtin_llround(__x); }



  constexpr float
  log1p(float __x)
  { return __builtin_log1pf(__x); }

  constexpr long double
  log1p(long double __x)
  { return __builtin_log1pl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log1p(_Tp __x)
    { return __builtin_log1p(__x); }




  constexpr float
  log2(float __x)
  { return __builtin_log2f(__x); }

  constexpr long double
  log2(long double __x)
  { return __builtin_log2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log2(_Tp __x)
    { return __builtin_log2(__x); }



  constexpr float
  logb(float __x)
  { return __builtin_logbf(__x); }

  constexpr long double
  logb(long double __x)
  { return __builtin_logbl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    logb(_Tp __x)
    { return __builtin_logb(__x); }



  constexpr long
  lrint(float __x)
  { return __builtin_lrintf(__x); }

  constexpr long
  lrint(long double __x)
  { return __builtin_lrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lrint(_Tp __x)
    { return __builtin_lrint(__x); }



  constexpr long
  lround(float __x)
  { return __builtin_lroundf(__x); }

  constexpr long
  lround(long double __x)
  { return __builtin_lroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lround(_Tp __x)
    { return __builtin_lround(__x); }



  constexpr float
  nearbyint(float __x)
  { return __builtin_nearbyintf(__x); }

  constexpr long double
  nearbyint(long double __x)
  { return __builtin_nearbyintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nearbyint(_Tp __x)
    { return __builtin_nearbyint(__x); }



  constexpr float
  nextafter(float __x, float __y)
  { return __builtin_nextafterf(__x, __y); }

  constexpr long double
  nextafter(long double __x, long double __y)
  { return __builtin_nextafterl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    nextafter(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return nextafter(__type(__x), __type(__y));
    }



  constexpr float
  nexttoward(float __x, long double __y)
  { return __builtin_nexttowardf(__x, __y); }

  constexpr long double
  nexttoward(long double __x, long double __y)
  { return __builtin_nexttowardl(__x, __y); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nexttoward(_Tp __x, long double __y)
    { return __builtin_nexttoward(__x, __y); }



  constexpr float
  remainder(float __x, float __y)
  { return __builtin_remainderf(__x, __y); }

  constexpr long double
  remainder(long double __x, long double __y)
  { return __builtin_remainderl(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remainder(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remainder(__type(__x), __type(__y));
    }



  inline float
  remquo(float __x, float __y, int* __pquo)
  { return __builtin_remquof(__x, __y, __pquo); }

  inline long double
  remquo(long double __x, long double __y, int* __pquo)
  { return __builtin_remquol(__x, __y, __pquo); }



  template<typename _Tp, typename _Up>
    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remquo(_Tp __x, _Up __y, int* __pquo)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remquo(__type(__x), __type(__y), __pquo);
    }



  constexpr float
  rint(float __x)
  { return __builtin_rintf(__x); }

  constexpr long double
  rint(long double __x)
  { return __builtin_rintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    rint(_Tp __x)
    { return __builtin_rint(__x); }



  constexpr float
  round(float __x)
  { return __builtin_roundf(__x); }

  constexpr long double
  round(long double __x)
  { return __builtin_roundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    round(_Tp __x)
    { return __builtin_round(__x); }



  constexpr float
  scalbln(float __x, long __ex)
  { return __builtin_scalblnf(__x, __ex); }

  constexpr long double
  scalbln(long double __x, long __ex)
  { return __builtin_scalblnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbln(_Tp __x, long __ex)
    { return __builtin_scalbln(__x, __ex); }



  constexpr float
  scalbn(float __x, int __ex)
  { return __builtin_scalbnf(__x, __ex); }

  constexpr long double
  scalbn(long double __x, int __ex)
  { return __builtin_scalbnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbn(_Tp __x, int __ex)
    { return __builtin_scalbn(__x, __ex); }



  constexpr float
  tgamma(float __x)
  { return __builtin_tgammaf(__x); }

  constexpr long double
  tgamma(long double __x)
  { return __builtin_tgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    tgamma(_Tp __x)
    { return __builtin_tgamma(__x); }



  constexpr float
  trunc(float __x)
  { return __builtin_truncf(__x); }

  constexpr long double
  trunc(long double __x)
  { return __builtin_truncl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    trunc(_Tp __x)
    { return __builtin_trunc(__x); }
# 1852 "/usr/include/c++/11/cmath" 3
  template<typename _Tp>
    inline _Tp
    __hypot3(_Tp __x, _Tp __y, _Tp __z)
    {
      __x = std::abs(__x);
      __y = std::abs(__y);
      __z = std::abs(__z);
      if (_Tp __a = __x < __y ? __y < __z ? __z : __y : __x < __z ? __z : __x)
 return __a * std::sqrt((__x / __a) * (__x / __a)
          + (__y / __a) * (__y / __a)
          + (__z / __a) * (__z / __a));
      else
 return {};
    }

  inline float
  hypot(float __x, float __y, float __z)
  { return std::__hypot3<float>(__x, __y, __z); }

  inline double
  hypot(double __x, double __y, double __z)
  { return std::__hypot3<double>(__x, __y, __z); }

  inline long double
  hypot(long double __x, long double __y, long double __z)
  { return std::__hypot3<long double>(__x, __y, __z); }

  template<typename _Tp, typename _Up, typename _Vp>
    __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>
    hypot(_Tp __x, _Up __y, _Vp __z)
    {
      using __type = __gnu_cxx::__promoted_t<_Tp, _Up, _Vp>;
      return std::__hypot3<__type>(__x, __y, __z);
    }
# 1931 "/usr/include/c++/11/cmath" 3

}


# 1 "/usr/include/c++/11/bits/specfun.h" 1 3
# 33 "/usr/include/c++/11/bits/specfun.h" 3
#pragma GCC visibility push(default)
# 45 "/usr/include/c++/11/bits/specfun.h" 3
# 1 "/usr/include/c++/11/bits/stl_algobase.h" 1 3
# 60 "/usr/include/c++/11/bits/stl_algobase.h" 3
# 1 "/usr/include/c++/11/bits/functexcept.h" 1 3
# 40 "/usr/include/c++/11/bits/functexcept.h" 3
# 1 "/usr/include/c++/11/bits/exception_defines.h" 1 3
# 41 "/usr/include/c++/11/bits/functexcept.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{



  void
  __throw_bad_exception(void) __attribute__((__noreturn__));


  void
  __throw_bad_alloc(void) __attribute__((__noreturn__));

  void
  __throw_bad_array_new_length(void) __attribute__((__noreturn__));


  void
  __throw_bad_cast(void) __attribute__((__noreturn__));

  void
  __throw_bad_typeid(void) __attribute__((__noreturn__));


  void
  __throw_logic_error(const char*) __attribute__((__noreturn__));

  void
  __throw_domain_error(const char*) __attribute__((__noreturn__));

  void
  __throw_invalid_argument(const char*) __attribute__((__noreturn__));

  void
  __throw_length_error(const char*) __attribute__((__noreturn__));

  void
  __throw_out_of_range(const char*) __attribute__((__noreturn__));

  void
  __throw_out_of_range_fmt(const char*, ...) __attribute__((__noreturn__))
    __attribute__((__format__(__gnu_printf__, 1, 2)));

  void
  __throw_runtime_error(const char*) __attribute__((__noreturn__));

  void
  __throw_range_error(const char*) __attribute__((__noreturn__));

  void
  __throw_overflow_error(const char*) __attribute__((__noreturn__));

  void
  __throw_underflow_error(const char*) __attribute__((__noreturn__));


  void
  __throw_ios_failure(const char*) __attribute__((__noreturn__));

  void
  __throw_ios_failure(const char*, int) __attribute__((__noreturn__));


  void
  __throw_system_error(int) __attribute__((__noreturn__));


  void
  __throw_future_error(int) __attribute__((__noreturn__));


  void
  __throw_bad_function_call() __attribute__((__noreturn__));


}
# 61 "/usr/include/c++/11/bits/stl_algobase.h" 2 3


# 1 "/usr/include/c++/11/ext/numeric_traits.h" 1 3
# 32 "/usr/include/c++/11/ext/numeric_traits.h" 3
       
# 33 "/usr/include/c++/11/ext/numeric_traits.h" 3




namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

# 50 "/usr/include/c++/11/ext/numeric_traits.h" 3
  template<typename _Tp>
    struct __is_integer_nonstrict
    : public std::__is_integer<_Tp>
    {
      using std::__is_integer<_Tp>::__value;


      enum { __width = __value ? sizeof(_Tp) * 8 : 0 };
    };

  template<typename _Value>
    struct __numeric_traits_integer
    {

      static_assert(__is_integer_nonstrict<_Value>::__value,
      "invalid specialization");




      static const bool __is_signed = (_Value)(-1) < 0;
      static const int __digits
 = __is_integer_nonstrict<_Value>::__width - __is_signed;


      static const _Value __max = __is_signed
 ? (((((_Value)1 << (__digits - 1)) - 1) << 1) + 1)
 : ~(_Value)0;
      static const _Value __min = __is_signed ? -__max - 1 : (_Value)0;
    };

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__min;

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__max;

  template<typename _Value>
    const bool __numeric_traits_integer<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_integer<_Value>::__digits;
# 135 "/usr/include/c++/11/ext/numeric_traits.h" 3
  template<typename _Tp>
    using __int_traits = __numeric_traits_integer<_Tp>;
# 155 "/usr/include/c++/11/ext/numeric_traits.h" 3
  template<typename _Value>
    struct __numeric_traits_floating
    {

      static const int __max_digits10 = (2 + (std::__are_same<_Value, float>::__value ? 24 : std::__are_same<_Value, double>::__value ? 53 : 64) * 643L / 2136);


      static const bool __is_signed = true;
      static const int __digits10 = (std::__are_same<_Value, float>::__value ? 6 : std::__are_same<_Value, double>::__value ? 15 : 18);
      static const int __max_exponent10 = (std::__are_same<_Value, float>::__value ? 38 : std::__are_same<_Value, double>::__value ? 308 : 4932);
    };

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_digits10;

  template<typename _Value>
    const bool __numeric_traits_floating<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__digits10;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_exponent10;






  template<typename _Value>
    struct __numeric_traits
    : public __numeric_traits_integer<_Value>
    { };

  template<>
    struct __numeric_traits<float>
    : public __numeric_traits_floating<float>
    { };

  template<>
    struct __numeric_traits<double>
    : public __numeric_traits_floating<double>
    { };

  template<>
    struct __numeric_traits<long double>
    : public __numeric_traits_floating<long double>
    { };
# 236 "/usr/include/c++/11/ext/numeric_traits.h" 3

}
# 64 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_pair.h" 1 3
# 59 "/usr/include/c++/11/bits/stl_pair.h" 3
# 1 "/usr/include/c++/11/bits/move.h" 1 3
# 38 "/usr/include/c++/11/bits/move.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename _Tp>
    inline constexpr _Tp*
    __addressof(_Tp& __r) noexcept
    { return __builtin_addressof(__r); }




}

# 1 "/usr/include/c++/11/type_traits" 1 3
# 32 "/usr/include/c++/11/type_traits" 3
       
# 33 "/usr/include/c++/11/type_traits" 3







namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename... _Elements>
    class tuple;

  template<typename _Tp>
    class reference_wrapper;
# 64 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp, _Tp __v>
    struct integral_constant
    {
      static constexpr _Tp value = __v;
      typedef _Tp value_type;
      typedef integral_constant<_Tp, __v> type;
      constexpr operator value_type() const noexcept { return value; }




      constexpr value_type operator()() const noexcept { return value; }

    };

  template<typename _Tp, _Tp __v>
    constexpr _Tp integral_constant<_Tp, __v>::value;


  using true_type = integral_constant<bool, true>;


  using false_type = integral_constant<bool, false>;



  template<bool __v>
    using __bool_constant = integral_constant<bool, __v>;






  template<bool __v>
    using bool_constant = integral_constant<bool, __v>;




  template<bool, typename, typename>
    struct conditional;


  template <typename _Type>
    struct __type_identity
    { using type = _Type; };

  template<typename _Tp>
    using __type_identity_t = typename __type_identity<_Tp>::type;

  template<typename...>
    struct __or_;

  template<>
    struct __or_<>
    : public false_type
    { };

  template<typename _B1>
    struct __or_<_B1>
    : public _B1
    { };

  template<typename _B1, typename _B2>
    struct __or_<_B1, _B2>
    : public conditional<_B1::value, _B1, _B2>::type
    { };

  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __or_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, _B1, __or_<_B2, _B3, _Bn...>>::type
    { };

  template<typename...>
    struct __and_;

  template<>
    struct __and_<>
    : public true_type
    { };

  template<typename _B1>
    struct __and_<_B1>
    : public _B1
    { };

  template<typename _B1, typename _B2>
    struct __and_<_B1, _B2>
    : public conditional<_B1::value, _B2, _B1>::type
    { };

  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __and_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, __and_<_B2, _B3, _Bn...>, _B1>::type
    { };

  template<typename _Pp>
    struct __not_
    : public __bool_constant<!bool(_Pp::value)>
    { };





  template<typename... _Bn>
    inline constexpr bool __or_v = __or_<_Bn...>::value;
  template<typename... _Bn>
    inline constexpr bool __and_v = __and_<_Bn...>::value;




  template<typename... _Bn>
    struct conjunction
    : __and_<_Bn...>
    { };

  template<typename... _Bn>
    struct disjunction
    : __or_<_Bn...>
    { };

  template<typename _Pp>
    struct negation
    : __not_<_Pp>
    { };




  template<typename... _Bn>
    inline constexpr bool conjunction_v = conjunction<_Bn...>::value;

  template<typename... _Bn>
    inline constexpr bool disjunction_v = disjunction<_Bn...>::value;

  template<typename _Pp>
    inline constexpr bool negation_v = negation<_Pp>::value;





  template<typename>
    struct is_reference;
  template<typename>
    struct is_function;
  template<typename>
    struct is_void;
  template<typename>
    struct remove_cv;
  template<typename>
    struct is_const;


  template<typename>
    struct __is_array_unknown_bounds;




  template <typename _Tp, size_t = sizeof(_Tp)>
    constexpr true_type __is_complete_or_unbounded(__type_identity<_Tp>)
    { return {}; }

  template <typename _TypeIdentity,
      typename _NestedType = typename _TypeIdentity::type>
    constexpr typename __or_<
      is_reference<_NestedType>,
      is_function<_NestedType>,
      is_void<_NestedType>,
      __is_array_unknown_bounds<_NestedType>
    >::type __is_complete_or_unbounded(_TypeIdentity)
    { return {}; }






  template<typename _Tp>
    struct __success_type
    { typedef _Tp type; };

  struct __failure_type
  { };


  template<typename _Tp>
    using __remove_cv_t = typename remove_cv<_Tp>::type;



  template<typename>
    struct __is_void_helper
    : public false_type { };

  template<>
    struct __is_void_helper<void>
    : public true_type { };



  template<typename _Tp>
    struct is_void
    : public __is_void_helper<__remove_cv_t<_Tp>>::type
    { };


  template<typename>
    struct __is_integral_helper
    : public false_type { };

  template<>
    struct __is_integral_helper<bool>
    : public true_type { };

  template<>
    struct __is_integral_helper<char>
    : public true_type { };

  template<>
    struct __is_integral_helper<signed char>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned char>
    : public true_type { };





  template<>
    struct __is_integral_helper<wchar_t>
    : public true_type { };
# 310 "/usr/include/c++/11/type_traits" 3
  template<>
    struct __is_integral_helper<char16_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<char32_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<short>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned short>
    : public true_type { };

  template<>
    struct __is_integral_helper<int>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned int>
    : public true_type { };

  template<>
    struct __is_integral_helper<long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long>
    : public true_type { };

  template<>
    struct __is_integral_helper<long long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long long>
    : public true_type { };




  template<>
    struct __is_integral_helper<__int128>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned __int128>
    : public true_type { };
# 391 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<__remove_cv_t<_Tp>>::type
    { };


  template<typename>
    struct __is_floating_point_helper
    : public false_type { };

  template<>
    struct __is_floating_point_helper<float>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<double>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<long double>
    : public true_type { };
# 421 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp>
    struct is_floating_point
    : public __is_floating_point_helper<__remove_cv_t<_Tp>>::type
    { };


  template<typename>
    struct is_array
    : public false_type { };

  template<typename _Tp, std::size_t _Size>
    struct is_array<_Tp[_Size]>
    : public true_type { };

  template<typename _Tp>
    struct is_array<_Tp[]>
    : public true_type { };

  template<typename>
    struct __is_pointer_helper
    : public false_type { };

  template<typename _Tp>
    struct __is_pointer_helper<_Tp*>
    : public true_type { };


  template<typename _Tp>
    struct is_pointer
    : public __is_pointer_helper<__remove_cv_t<_Tp>>::type
    { };


  template<typename>
    struct is_lvalue_reference
    : public false_type { };

  template<typename _Tp>
    struct is_lvalue_reference<_Tp&>
    : public true_type { };


  template<typename>
    struct is_rvalue_reference
    : public false_type { };

  template<typename _Tp>
    struct is_rvalue_reference<_Tp&&>
    : public true_type { };

  template<typename>
    struct __is_member_object_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_object_pointer_helper<_Tp _Cp::*>
    : public __not_<is_function<_Tp>>::type { };


  template<typename _Tp>
    struct is_member_object_pointer
    : public __is_member_object_pointer_helper<__remove_cv_t<_Tp>>::type
    { };

  template<typename>
    struct __is_member_function_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_function_pointer_helper<_Tp _Cp::*>
    : public is_function<_Tp>::type { };


  template<typename _Tp>
    struct is_member_function_pointer
    : public __is_member_function_pointer_helper<__remove_cv_t<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_enum
    : public integral_constant<bool, __is_enum(_Tp)>
    { };


  template<typename _Tp>
    struct is_union
    : public integral_constant<bool, __is_union(_Tp)>
    { };


  template<typename _Tp>
    struct is_class
    : public integral_constant<bool, __is_class(_Tp)>
    { };


  template<typename _Tp>
    struct is_function
    : public __bool_constant<!is_const<const _Tp>::value> { };

  template<typename _Tp>
    struct is_function<_Tp&>
    : public false_type { };

  template<typename _Tp>
    struct is_function<_Tp&&>
    : public false_type { };



  template<typename>
    struct __is_null_pointer_helper
    : public false_type { };

  template<>
    struct __is_null_pointer_helper<std::nullptr_t>
    : public true_type { };


  template<typename _Tp>
    struct is_null_pointer
    : public __is_null_pointer_helper<__remove_cv_t<_Tp>>::type
    { };



  template<typename _Tp>
    struct __is_nullptr_t
    : public is_null_pointer<_Tp>
    { } __attribute__ ((__deprecated__ ("use '" "std::is_null_pointer" "' instead")));




  template<typename _Tp>
    struct is_reference
    : public __or_<is_lvalue_reference<_Tp>,
                   is_rvalue_reference<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_arithmetic
    : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_fundamental
    : public __or_<is_arithmetic<_Tp>, is_void<_Tp>,
     is_null_pointer<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_object
    : public __not_<__or_<is_function<_Tp>, is_reference<_Tp>,
                          is_void<_Tp>>>::type
    { };

  template<typename>
    struct is_member_pointer;


  template<typename _Tp>
    struct is_scalar
    : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
                   is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_compound
    : public __not_<is_fundamental<_Tp>>::type { };


  template<typename _Tp>
    struct __is_member_pointer_helper
    : public false_type { };

  template<typename _Tp, typename _Cp>
    struct __is_member_pointer_helper<_Tp _Cp::*>
    : public true_type { };



  template<typename _Tp>
    struct is_member_pointer
    : public __is_member_pointer_helper<__remove_cv_t<_Tp>>::type
    { };

  template<typename, typename>
    struct is_same;


  template<typename _Tp, typename... _Types>
    using __is_one_of = __or_<is_same<_Tp, _Types>...>;


  template<typename _Tp>
    using __is_signed_integer = __is_one_of<__remove_cv_t<_Tp>,
   signed char, signed short, signed int, signed long,
   signed long long

   , signed __int128
# 637 "/usr/include/c++/11/type_traits" 3
   >;


  template<typename _Tp>
    using __is_unsigned_integer = __is_one_of<__remove_cv_t<_Tp>,
   unsigned char, unsigned short, unsigned int, unsigned long,
   unsigned long long

   , unsigned __int128
# 656 "/usr/include/c++/11/type_traits" 3
   >;


  template<typename _Tp>
    using __is_standard_integer
      = __or_<__is_signed_integer<_Tp>, __is_unsigned_integer<_Tp>>;


  template<typename...> using __void_t = void;



  template<typename _Tp, typename = void>
    struct __is_referenceable
    : public false_type
    { };

  template<typename _Tp>
    struct __is_referenceable<_Tp, __void_t<_Tp&>>
    : public true_type
    { };





  template<typename>
    struct is_const
    : public false_type { };

  template<typename _Tp>
    struct is_const<_Tp const>
    : public true_type { };


  template<typename>
    struct is_volatile
    : public false_type { };

  template<typename _Tp>
    struct is_volatile<_Tp volatile>
    : public true_type { };


  template<typename _Tp>
    struct is_trivial
    : public integral_constant<bool, __is_trivial(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_copyable
    : public integral_constant<bool, __is_trivially_copyable(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_standard_layout
    : public integral_constant<bool, __is_standard_layout(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };





  template<typename _Tp>
    struct
   
    is_pod
    : public integral_constant<bool, __is_pod(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };




  template<typename _Tp>
    struct
    [[__deprecated__]]
    is_literal_type
    : public integral_constant<bool, __is_literal_type(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_empty
    : public integral_constant<bool, __is_empty(_Tp)>
    { };


  template<typename _Tp>
    struct is_polymorphic
    : public integral_constant<bool, __is_polymorphic(_Tp)>
    { };





  template<typename _Tp>
    struct is_final
    : public integral_constant<bool, __is_final(_Tp)>
    { };



  template<typename _Tp>
    struct is_abstract
    : public integral_constant<bool, __is_abstract(_Tp)>
    { };


  template<typename _Tp,
    bool = is_arithmetic<_Tp>::value>
    struct __is_signed_helper
    : public false_type { };

  template<typename _Tp>
    struct __is_signed_helper<_Tp, true>
    : public integral_constant<bool, _Tp(-1) < _Tp(0)>
    { };



  template<typename _Tp>
    struct is_signed
    : public __is_signed_helper<_Tp>::type
    { };


  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>
    { };


  template<typename _Tp, typename _Up = _Tp&&>
    _Up
    __declval(int);

  template<typename _Tp>
    _Tp
    __declval(long);


  template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0));

  template<typename, unsigned = 0>
    struct extent;

  template<typename>
    struct remove_all_extents;


  template<typename _Tp>
    struct __is_array_known_bounds
    : public integral_constant<bool, (extent<_Tp>::value > 0)>
    { };

  template<typename _Tp>
    struct __is_array_unknown_bounds
    : public __and_<is_array<_Tp>, __not_<extent<_Tp>>>
    { };
# 842 "/usr/include/c++/11/type_traits" 3
  struct __do_is_destructible_impl
  {
    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
      static true_type __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_destructible_impl
    : public __do_is_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_destructible_safe;

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, false>
    : public __is_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, true, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, true>
    : public true_type { };



  template<typename _Tp>
    struct is_destructible
    : public __is_destructible_safe<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };







  struct __do_is_nt_destructible_impl
  {
    template<typename _Tp>
      static __bool_constant<noexcept(declval<_Tp&>().~_Tp())>
      __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_nt_destructible_impl
    : public __do_is_nt_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_nt_destructible_safe;

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, false>
    : public __is_nt_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, true, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, true>
    : public true_type { };



  template<typename _Tp>
    struct is_nothrow_destructible
    : public __is_nt_destructible_safe<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    struct __is_constructible_impl
    : public __bool_constant<__is_constructible(_Tp, _Args...)>
    { };



  template<typename _Tp, typename... _Args>
    struct is_constructible
      : public __is_constructible_impl<_Tp, _Args...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_default_constructible
    : public __is_constructible_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_constructible_impl;

  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, true>
    : public __is_constructible_impl<_Tp, const _Tp&>
    { };



  template<typename _Tp>
    struct is_copy_constructible
    : public __is_copy_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_constructible_impl;

  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, true>
    : public __is_constructible_impl<_Tp, _Tp&&>
    { };



  template<typename _Tp>
    struct is_move_constructible
    : public __is_move_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    using __is_nothrow_constructible_impl
      = __bool_constant<__is_nothrow_constructible(_Tp, _Args...)>;



  template<typename _Tp, typename... _Args>
    struct is_nothrow_constructible
    : public __is_nothrow_constructible_impl<_Tp, _Args...>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_default_constructible
    : public __bool_constant<__is_nothrow_constructible(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nothrow_copy_constructible_impl;

  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, true>
    : public __is_nothrow_constructible_impl<_Tp, const _Tp&>
    { };



  template<typename _Tp>
    struct is_nothrow_copy_constructible
    : public __is_nothrow_copy_constructible_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nothrow_move_constructible_impl;

  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, true>
    : public __is_nothrow_constructible_impl<_Tp, _Tp&&>
    { };



  template<typename _Tp>
    struct is_nothrow_move_constructible
    : public __is_nothrow_move_constructible_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    struct is_assignable
    : public __bool_constant<__is_assignable(_Tp, _Up)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_assignable_impl;

  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, true>
    : public __bool_constant<__is_assignable(_Tp&, const _Tp&)>
    { };


  template<typename _Tp>
    struct is_copy_assignable
    : public __is_copy_assignable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_assignable_impl;

  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, true>
    : public __bool_constant<__is_assignable(_Tp&, _Tp&&)>
    { };


  template<typename _Tp>
    struct is_move_assignable
    : public __is_move_assignable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, typename _Up>
    using __is_nothrow_assignable_impl
      = __bool_constant<__is_nothrow_assignable(_Tp, _Up)>;


  template<typename _Tp, typename _Up>
    struct is_nothrow_assignable
    : public __is_nothrow_assignable_impl<_Tp, _Up>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nt_copy_assignable_impl;

  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, true>
    : public __is_nothrow_assignable_impl<_Tp&, const _Tp&>
    { };


  template<typename _Tp>
    struct is_nothrow_copy_assignable
    : public __is_nt_copy_assignable_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nt_move_assignable_impl;

  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, true>
    : public __is_nothrow_assignable_impl<_Tp&, _Tp&&>
    { };


  template<typename _Tp>
    struct is_nothrow_move_assignable
    : public __is_nt_move_assignable_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    struct is_trivially_constructible
    : public __bool_constant<__is_trivially_constructible(_Tp, _Args...)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_default_constructible
    : public __bool_constant<__is_trivially_constructible(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  struct __do_is_implicitly_default_constructible_impl
  {
    template <typename _Tp>
    static void __helper(const _Tp&);

    template <typename _Tp>
    static true_type __test(const _Tp&,
                            decltype(__helper<const _Tp&>({}))* = 0);

    static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_impl
    : public __do_is_implicitly_default_constructible_impl
    {
      typedef decltype(__test(declval<_Tp>())) type;
    };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_safe
    : public __is_implicitly_default_constructible_impl<_Tp>::type
    { };

  template <typename _Tp>
    struct __is_implicitly_default_constructible
    : public __and_<__is_constructible_impl<_Tp>,
      __is_implicitly_default_constructible_safe<_Tp>>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_copy_constructible_impl;

  template<typename _Tp>
    struct __is_trivially_copy_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_copy_constructible_impl<_Tp, true>
    : public __and_<__is_copy_constructible_impl<_Tp>,
      integral_constant<bool,
   __is_trivially_constructible(_Tp, const _Tp&)>>
    { };


  template<typename _Tp>
    struct is_trivially_copy_constructible
    : public __is_trivially_copy_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_move_constructible_impl;

  template<typename _Tp>
    struct __is_trivially_move_constructible_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_move_constructible_impl<_Tp, true>
    : public __and_<__is_move_constructible_impl<_Tp>,
      integral_constant<bool,
   __is_trivially_constructible(_Tp, _Tp&&)>>
    { };


  template<typename _Tp>
    struct is_trivially_move_constructible
    : public __is_trivially_move_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    struct is_trivially_assignable
    : public __bool_constant<__is_trivially_assignable(_Tp, _Up)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_copy_assignable_impl;

  template<typename _Tp>
    struct __is_trivially_copy_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_copy_assignable_impl<_Tp, true>
    : public __bool_constant<__is_trivially_assignable(_Tp&, const _Tp&)>
    { };


  template<typename _Tp>
    struct is_trivially_copy_assignable
    : public __is_trivially_copy_assignable_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_move_assignable_impl;

  template<typename _Tp>
    struct __is_trivially_move_assignable_impl<_Tp, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_trivially_move_assignable_impl<_Tp, true>
    : public __bool_constant<__is_trivially_assignable(_Tp&, _Tp&&)>
    { };


  template<typename _Tp>
    struct is_trivially_move_assignable
    : public __is_trivially_move_assignable_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_destructible
    : public __and_<__is_destructible_safe<_Tp>,
      __bool_constant<__has_trivial_destructor(_Tp)>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    struct has_virtual_destructor
    : public integral_constant<bool, __has_virtual_destructor(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };





  template<typename _Tp>
    struct alignment_of
    : public integral_constant<std::size_t, alignof(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename>
    struct rank
    : public integral_constant<std::size_t, 0> { };

  template<typename _Tp, std::size_t _Size>
    struct rank<_Tp[_Size]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };

  template<typename _Tp>
    struct rank<_Tp[]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };


  template<typename, unsigned _Uint>
    struct extent
    : public integral_constant<std::size_t, 0> { };

  template<typename _Tp, unsigned _Uint, std::size_t _Size>
    struct extent<_Tp[_Size], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? _Size : extent<_Tp,
          _Uint - 1>::value>
    { };

  template<typename _Tp, unsigned _Uint>
    struct extent<_Tp[], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? 0 : extent<_Tp,
             _Uint - 1>::value>
    { };





  template<typename _Tp, typename _Up>
    struct is_same

    : public integral_constant<bool, __is_same(_Tp, _Up)>



    { };
# 1420 "/usr/include/c++/11/type_traits" 3
  template<typename _Base, typename _Derived>
    struct is_base_of
    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
    { };

  template<typename _From, typename _To,
           bool = __or_<is_void<_From>, is_function<_To>,
                        is_array<_To>>::value>
    struct __is_convertible_helper
    {
      typedef typename is_void<_To>::type type;
    };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
  template<typename _From, typename _To>
    class __is_convertible_helper<_From, _To, false>
    {
      template<typename _To1>
 static void __test_aux(_To1) noexcept;

      template<typename _From1, typename _To1,
        typename = decltype(__test_aux<_To1>(std::declval<_From1>()))>
 static true_type
 __test(int);

      template<typename, typename>
 static false_type
 __test(...);

    public:
      typedef decltype(__test<_From, _To>(0)) type;
    };
#pragma GCC diagnostic pop


  template<typename _From, typename _To>
    struct is_convertible
    : public __is_convertible_helper<_From, _To>::type
    { };


  template<typename _ToElementType, typename _FromElementType>
    using __is_array_convertible
      = is_convertible<_FromElementType(*)[], _ToElementType(*)[]>;

  template<typename _From, typename _To,
           bool = __or_<is_void<_From>, is_function<_To>,
                        is_array<_To>>::value>
    struct __is_nt_convertible_helper
    : is_void<_To>
    { };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
  template<typename _From, typename _To>
    class __is_nt_convertible_helper<_From, _To, false>
    {
      template<typename _To1>
 static void __test_aux(_To1) noexcept;

      template<typename _From1, typename _To1>
 static
 __bool_constant<noexcept(__test_aux<_To1>(std::declval<_From1>()))>
 __test(int);

      template<typename, typename>
 static false_type
 __test(...);

    public:
      using type = decltype(__test<_From, _To>(0));
    };
#pragma GCC diagnostic pop
# 1512 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp>
    struct remove_const
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_const<_Tp const>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_volatile
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_volatile<_Tp volatile>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_cv
    { using type = _Tp; };

  template<typename _Tp>
    struct remove_cv<const _Tp>
    { using type = _Tp; };

  template<typename _Tp>
    struct remove_cv<volatile _Tp>
    { using type = _Tp; };

  template<typename _Tp>
    struct remove_cv<const volatile _Tp>
    { using type = _Tp; };


  template<typename _Tp>
    struct add_const
    { typedef _Tp const type; };


  template<typename _Tp>
    struct add_volatile
    { typedef _Tp volatile type; };


  template<typename _Tp>
    struct add_cv
    {
      typedef typename
      add_const<typename add_volatile<_Tp>::type>::type type;
    };






  template<typename _Tp>
    using remove_const_t = typename remove_const<_Tp>::type;


  template<typename _Tp>
    using remove_volatile_t = typename remove_volatile<_Tp>::type;


  template<typename _Tp>
    using remove_cv_t = typename remove_cv<_Tp>::type;


  template<typename _Tp>
    using add_const_t = typename add_const<_Tp>::type;


  template<typename _Tp>
    using add_volatile_t = typename add_volatile<_Tp>::type;


  template<typename _Tp>
    using add_cv_t = typename add_cv<_Tp>::type;





  template<typename _Tp>
    struct remove_reference
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_reference<_Tp&>
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_reference<_Tp&&>
    { typedef _Tp type; };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_lvalue_reference_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_lvalue_reference_helper<_Tp, true>
    { typedef _Tp& type; };


  template<typename _Tp>
    struct add_lvalue_reference
    : public __add_lvalue_reference_helper<_Tp>
    { };

  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_rvalue_reference_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_rvalue_reference_helper<_Tp, true>
    { typedef _Tp&& type; };


  template<typename _Tp>
    struct add_rvalue_reference
    : public __add_rvalue_reference_helper<_Tp>
    { };



  template<typename _Tp>
    using remove_reference_t = typename remove_reference<_Tp>::type;


  template<typename _Tp>
    using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type;


  template<typename _Tp>
    using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type;







  template<typename _Unqualified, bool _IsConst, bool _IsVol>
    struct __cv_selector;

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, false>
    { typedef _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, true>
    { typedef volatile _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, false>
    { typedef const _Unqualified __type; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, true>
    { typedef const volatile _Unqualified __type; };

  template<typename _Qualified, typename _Unqualified,
    bool _IsConst = is_const<_Qualified>::value,
    bool _IsVol = is_volatile<_Qualified>::value>
    class __match_cv_qualifiers
    {
      typedef __cv_selector<_Unqualified, _IsConst, _IsVol> __match;

    public:
      typedef typename __match::__type __type;
    };


  template<typename _Tp>
    struct __make_unsigned
    { typedef _Tp __type; };

  template<>
    struct __make_unsigned<char>
    { typedef unsigned char __type; };

  template<>
    struct __make_unsigned<signed char>
    { typedef unsigned char __type; };

  template<>
    struct __make_unsigned<short>
    { typedef unsigned short __type; };

  template<>
    struct __make_unsigned<int>
    { typedef unsigned int __type; };

  template<>
    struct __make_unsigned<long>
    { typedef unsigned long __type; };

  template<>
    struct __make_unsigned<long long>
    { typedef unsigned long long __type; };


  template<>
    struct __make_unsigned<__int128>
    { typedef unsigned __int128 __type; };
# 1736 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_unsigned_selector;

  template<typename _Tp>
    class __make_unsigned_selector<_Tp, true, false>
    {
      using __unsigned_type
 = typename __make_unsigned<__remove_cv_t<_Tp>>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
    };

  class __make_unsigned_selector_base
  {
  protected:
    template<typename...> struct _List { };

    template<typename _Tp, typename... _Up>
      struct _List<_Tp, _Up...> : _List<_Up...>
      { static constexpr size_t __size = sizeof(_Tp); };

    template<size_t _Sz, typename _Tp, bool = (_Sz <= _Tp::__size)>
      struct __select;

    template<size_t _Sz, typename _Uint, typename... _UInts>
      struct __select<_Sz, _List<_Uint, _UInts...>, true>
      { using __type = _Uint; };

    template<size_t _Sz, typename _Uint, typename... _UInts>
      struct __select<_Sz, _List<_Uint, _UInts...>, false>
      : __select<_Sz, _List<_UInts...>>
      { };
  };


  template<typename _Tp>
    class __make_unsigned_selector<_Tp, false, true>
    : __make_unsigned_selector_base
    {

      using _UInts = _List<unsigned char, unsigned short, unsigned int,
      unsigned long, unsigned long long>;

      using __unsigned_type = typename __select<sizeof(_Tp), _UInts>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
    };






  template<>
    struct __make_unsigned<wchar_t>
    {
      using __type
 = typename __make_unsigned_selector<wchar_t, false, true>::__type;
    };
# 1812 "/usr/include/c++/11/type_traits" 3
  template<>
    struct __make_unsigned<char16_t>
    {
      using __type
 = typename __make_unsigned_selector<char16_t, false, true>::__type;
    };

  template<>
    struct __make_unsigned<char32_t>
    {
      using __type
 = typename __make_unsigned_selector<char32_t, false, true>::__type;
    };






  template<typename _Tp>
    struct make_unsigned
    { typedef typename __make_unsigned_selector<_Tp>::__type type; };


  template<>
    struct make_unsigned<bool>;




  template<typename _Tp>
    struct __make_signed
    { typedef _Tp __type; };

  template<>
    struct __make_signed<char>
    { typedef signed char __type; };

  template<>
    struct __make_signed<unsigned char>
    { typedef signed char __type; };

  template<>
    struct __make_signed<unsigned short>
    { typedef signed short __type; };

  template<>
    struct __make_signed<unsigned int>
    { typedef signed int __type; };

  template<>
    struct __make_signed<unsigned long>
    { typedef signed long __type; };

  template<>
    struct __make_signed<unsigned long long>
    { typedef signed long long __type; };


  template<>
    struct __make_signed<unsigned __int128>
    { typedef __int128 __type; };
# 1892 "/usr/include/c++/11/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_signed_selector;

  template<typename _Tp>
    class __make_signed_selector<_Tp, true, false>
    {
      using __signed_type
 = typename __make_signed<__remove_cv_t<_Tp>>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __signed_type>::__type;
    };


  template<typename _Tp>
    class __make_signed_selector<_Tp, false, true>
    {
      typedef typename __make_unsigned_selector<_Tp>::__type __unsigned_type;

    public:
      typedef typename __make_signed_selector<__unsigned_type>::__type __type;
    };






  template<>
    struct __make_signed<wchar_t>
    {
      using __type
 = typename __make_signed_selector<wchar_t, false, true>::__type;
    };
# 1940 "/usr/include/c++/11/type_traits" 3
  template<>
    struct __make_signed<char16_t>
    {
      using __type
 = typename __make_signed_selector<char16_t, false, true>::__type;
    };

  template<>
    struct __make_signed<char32_t>
    {
      using __type
 = typename __make_signed_selector<char32_t, false, true>::__type;
    };






  template<typename _Tp>
    struct make_signed
    { typedef typename __make_signed_selector<_Tp>::__type type; };


  template<>
    struct make_signed<bool>;



  template<typename _Tp>
    using make_signed_t = typename make_signed<_Tp>::type;


  template<typename _Tp>
    using make_unsigned_t = typename make_unsigned<_Tp>::type;





  template<typename _Tp>
    struct remove_extent
    { typedef _Tp type; };

  template<typename _Tp, std::size_t _Size>
    struct remove_extent<_Tp[_Size]>
    { typedef _Tp type; };

  template<typename _Tp>
    struct remove_extent<_Tp[]>
    { typedef _Tp type; };


  template<typename _Tp>
    struct remove_all_extents
    { typedef _Tp type; };

  template<typename _Tp, std::size_t _Size>
    struct remove_all_extents<_Tp[_Size]>
    { typedef typename remove_all_extents<_Tp>::type type; };

  template<typename _Tp>
    struct remove_all_extents<_Tp[]>
    { typedef typename remove_all_extents<_Tp>::type type; };



  template<typename _Tp>
    using remove_extent_t = typename remove_extent<_Tp>::type;


  template<typename _Tp>
    using remove_all_extents_t = typename remove_all_extents<_Tp>::type;




  template<typename _Tp, typename>
    struct __remove_pointer_helper
    { typedef _Tp type; };

  template<typename _Tp, typename _Up>
    struct __remove_pointer_helper<_Tp, _Up*>
    { typedef _Up type; };


  template<typename _Tp>
    struct remove_pointer
    : public __remove_pointer_helper<_Tp, __remove_cv_t<_Tp>>
    { };

  template<typename _Tp, bool = __or_<__is_referenceable<_Tp>,
          is_void<_Tp>>::value>
    struct __add_pointer_helper
    { typedef _Tp type; };

  template<typename _Tp>
    struct __add_pointer_helper<_Tp, true>
    { typedef typename remove_reference<_Tp>::type* type; };


  template<typename _Tp>
    struct add_pointer
    : public __add_pointer_helper<_Tp>
    { };



  template<typename _Tp>
    using remove_pointer_t = typename remove_pointer<_Tp>::type;


  template<typename _Tp>
    using add_pointer_t = typename add_pointer<_Tp>::type;


  template<std::size_t _Len>
    struct __aligned_storage_msa
    {
      union __type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__)) { } __align;
      };
    };
# 2076 "/usr/include/c++/11/type_traits" 3
  template<std::size_t _Len, std::size_t _Align =
    __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    struct aligned_storage
    {
      union type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__((_Align)))) { } __align;
      };
    };

  template <typename... _Types>
    struct __strictest_alignment
    {
      static const size_t _S_alignment = 0;
      static const size_t _S_size = 0;
    };

  template <typename _Tp, typename... _Types>
    struct __strictest_alignment<_Tp, _Types...>
    {
      static const size_t _S_alignment =
        alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment
 ? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment;
      static const size_t _S_size =
        sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size
 ? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size;
    };
# 2115 "/usr/include/c++/11/type_traits" 3
  template <size_t _Len, typename... _Types>
    struct aligned_union
    {
    private:
      static_assert(sizeof...(_Types) != 0, "At least one type is required");

      using __strictest = __strictest_alignment<_Types...>;
      static const size_t _S_len = _Len > __strictest::_S_size
 ? _Len : __strictest::_S_size;
    public:

      static const size_t alignment_value = __strictest::_S_alignment;

      typedef typename aligned_storage<_S_len, alignment_value>::type type;
    };

  template <size_t _Len, typename... _Types>
    const size_t aligned_union<_Len, _Types...>::alignment_value;





  template<typename _Up,
    bool _IsArray = is_array<_Up>::value,
    bool _IsFunction = is_function<_Up>::value>
    struct __decay_selector;


  template<typename _Up>
    struct __decay_selector<_Up, false, false>
    { typedef __remove_cv_t<_Up> __type; };

  template<typename _Up>
    struct __decay_selector<_Up, true, false>
    { typedef typename remove_extent<_Up>::type* __type; };

  template<typename _Up>
    struct __decay_selector<_Up, false, true>
    { typedef typename add_pointer<_Up>::type __type; };



  template<typename _Tp>
    class decay
    {
      typedef typename remove_reference<_Tp>::type __remove_type;

    public:
      typedef typename __decay_selector<__remove_type>::__type type;
    };




  template<typename _Tp>
    struct __strip_reference_wrapper
    {
      typedef _Tp __type;
    };

  template<typename _Tp>
    struct __strip_reference_wrapper<reference_wrapper<_Tp> >
    {
      typedef _Tp& __type;
    };


  template<typename _Tp>
    using __decay_t = typename decay<_Tp>::type;

  template<typename _Tp>
    using __decay_and_strip = __strip_reference_wrapper<__decay_t<_Tp>>;




  template<bool, typename _Tp = void>
    struct enable_if
    { };


  template<typename _Tp>
    struct enable_if<true, _Tp>
    { typedef _Tp type; };




  template<bool _Cond, typename _Tp = void>
    using __enable_if_t = typename enable_if<_Cond, _Tp>::type;


  template<typename... _Cond>
    using _Require = __enable_if_t<__and_<_Cond...>::value>;


  template<typename _Tp>
    using __remove_cvref_t
     = typename remove_cv<typename remove_reference<_Tp>::type>::type;




  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct conditional
    { typedef _Iftrue type; };


  template<typename _Iftrue, typename _Iffalse>
    struct conditional<false, _Iftrue, _Iffalse>
    { typedef _Iffalse type; };


  template<typename... _Tp>
    struct common_type;




  struct __do_common_type_impl
  {
    template<typename _Tp, typename _Up>
      using __cond_t
 = decltype(true ? std::declval<_Tp>() : std::declval<_Up>());



    template<typename _Tp, typename _Up>
      static __success_type<__decay_t<__cond_t<_Tp, _Up>>>
      _S_test(int);
# 2255 "/usr/include/c++/11/type_traits" 3
    template<typename, typename>
      static __failure_type
      _S_test_2(...);

    template<typename _Tp, typename _Up>
      static decltype(_S_test_2<_Tp, _Up>(0))
      _S_test(...);
  };


  template<>
    struct common_type<>
    { };


  template<typename _Tp0>
    struct common_type<_Tp0>
    : public common_type<_Tp0, _Tp0>
    { };


  template<typename _Tp1, typename _Tp2,
    typename _Dp1 = __decay_t<_Tp1>, typename _Dp2 = __decay_t<_Tp2>>
    struct __common_type_impl
    {


      using type = common_type<_Dp1, _Dp2>;
    };

  template<typename _Tp1, typename _Tp2>
    struct __common_type_impl<_Tp1, _Tp2, _Tp1, _Tp2>
    : private __do_common_type_impl
    {


      using type = decltype(_S_test<_Tp1, _Tp2>(0));
    };


  template<typename _Tp1, typename _Tp2>
    struct common_type<_Tp1, _Tp2>
    : public __common_type_impl<_Tp1, _Tp2>::type
    { };

  template<typename...>
    struct __common_type_pack
    { };

  template<typename, typename, typename = void>
    struct __common_type_fold;


  template<typename _Tp1, typename _Tp2, typename... _Rp>
    struct common_type<_Tp1, _Tp2, _Rp...>
    : public __common_type_fold<common_type<_Tp1, _Tp2>,
    __common_type_pack<_Rp...>>
    { };




  template<typename _CTp, typename... _Rp>
    struct __common_type_fold<_CTp, __common_type_pack<_Rp...>,
         __void_t<typename _CTp::type>>
    : public common_type<typename _CTp::type, _Rp...>
    { };


  template<typename _CTp, typename _Rp>
    struct __common_type_fold<_CTp, _Rp, void>
    { };

  template<typename _Tp, bool = is_enum<_Tp>::value>
    struct __underlying_type_impl
    {
      using type = __underlying_type(_Tp);
    };

  template<typename _Tp>
    struct __underlying_type_impl<_Tp, false>
    { };



  template<typename _Tp>
    struct underlying_type
    : public __underlying_type_impl<_Tp>
    { };


  template<typename _Tp>
    struct __declval_protector
    {
      static const bool __stop = false;
    };






  template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0))
    {
      static_assert(__declval_protector<_Tp>::__stop,
      "declval() must not be used!");
      return __declval<_Tp>(0);
    }


  template<typename _Signature>
    struct result_of;






  struct __invoke_memfun_ref { };
  struct __invoke_memfun_deref { };
  struct __invoke_memobj_ref { };
  struct __invoke_memobj_deref { };
  struct __invoke_other { };


  template<typename _Tp, typename _Tag>
    struct __result_of_success : __success_type<_Tp>
    { using __invoke_type = _Tag; };


  struct __result_of_memfun_ref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_ref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_ref
    : private __result_of_memfun_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };


  struct __result_of_memfun_deref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_deref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_deref
    : private __result_of_memfun_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };


  struct __result_of_memobj_ref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      std::declval<_Tp1>().*std::declval<_Fp>()
      ), __invoke_memobj_ref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_ref
    : private __result_of_memobj_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };


  struct __result_of_memobj_deref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      (*std::declval<_Tp1>()).*std::declval<_Fp>()
      ), __invoke_memobj_deref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_deref
    : private __result_of_memobj_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

  template<typename _Res, typename _Class, typename _Arg>
    struct __result_of_memobj<_Res _Class::*, _Arg>
    {
      typedef __remove_cvref_t<_Arg> _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memobj_ref<_MemPtr, _Arg>,
        __result_of_memobj_deref<_MemPtr, _Arg>
      >::type::type type;
    };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun;

  template<typename _Res, typename _Class, typename _Arg, typename... _Args>
    struct __result_of_memfun<_Res _Class::*, _Arg, _Args...>
    {
      typedef typename remove_reference<_Arg>::type _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<is_base_of<_Class, _Argval>::value,
        __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
        __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
      >::type::type type;
    };






  template<typename _Tp, typename _Up = __remove_cvref_t<_Tp>>
    struct __inv_unwrap
    {
      using type = _Tp;
    };

  template<typename _Tp, typename _Up>
    struct __inv_unwrap<_Tp, reference_wrapper<_Up>>
    {
      using type = _Up&;
    };

  template<bool, bool, typename _Functor, typename... _ArgTypes>
    struct __result_of_impl
    {
      typedef __failure_type type;
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_impl<true, false, _MemPtr, _Arg>
    : public __result_of_memobj<__decay_t<_MemPtr>,
    typename __inv_unwrap<_Arg>::type>
    { };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...>
    : public __result_of_memfun<__decay_t<_MemPtr>,
    typename __inv_unwrap<_Arg>::type, _Args...>
    { };


  struct __result_of_other_impl
  {
    template<typename _Fn, typename... _Args>
      static __result_of_success<decltype(
      std::declval<_Fn>()(std::declval<_Args>()...)
      ), __invoke_other> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _Functor, typename... _ArgTypes>
    struct __result_of_impl<false, false, _Functor, _ArgTypes...>
    : private __result_of_other_impl
    {
      typedef decltype(_S_test<_Functor, _ArgTypes...>(0)) type;
    };


  template<typename _Functor, typename... _ArgTypes>
    struct __invoke_result
    : public __result_of_impl<
        is_member_object_pointer<
          typename remove_reference<_Functor>::type
        >::value,
        is_member_function_pointer<
          typename remove_reference<_Functor>::type
        >::value,
 _Functor, _ArgTypes...
      >::type
    { };


  template<typename _Functor, typename... _ArgTypes>
    struct result_of<_Functor(_ArgTypes...)>
    : public __invoke_result<_Functor, _ArgTypes...>
    { };



  template<size_t _Len, size_t _Align =
     __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    using aligned_storage_t = typename aligned_storage<_Len, _Align>::type;

  template <size_t _Len, typename... _Types>
    using aligned_union_t = typename aligned_union<_Len, _Types...>::type;


  template<typename _Tp>
    using decay_t = typename decay<_Tp>::type;


  template<bool _Cond, typename _Tp = void>
    using enable_if_t = typename enable_if<_Cond, _Tp>::type;


  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type;


  template<typename... _Tp>
    using common_type_t = typename common_type<_Tp...>::type;


  template<typename _Tp>
    using underlying_type_t = typename underlying_type<_Tp>::type;


  template<typename _Tp>
    using result_of_t = typename result_of<_Tp>::type;





  template<typename...> using void_t = void;





  template<typename _Default, typename _AlwaysVoid,
    template<typename...> class _Op, typename... _Args>
    struct __detector
    {
      using value_t = false_type;
      using type = _Default;
    };


  template<typename _Default, template<typename...> class _Op,
     typename... _Args>
    struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...>
    {
      using value_t = true_type;
      using type = _Op<_Args...>;
    };


  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or = __detector<_Default, void, _Op, _Args...>;


  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or_t
      = typename __detected_or<_Default, _Op, _Args...>::type;
# 2649 "/usr/include/c++/11/type_traits" 3
  template <typename _Tp>
    struct __is_swappable;

  template <typename _Tp>
    struct __is_nothrow_swappable;

  template<typename>
    struct __is_tuple_like_impl : false_type
    { };

  template<typename... _Tps>
    struct __is_tuple_like_impl<tuple<_Tps...>> : true_type
    { };


  template<typename _Tp>
    struct __is_tuple_like
    : public __is_tuple_like_impl<__remove_cvref_t<_Tp>>::type
    { };


  template<typename _Tp>
   
    inline
    _Require<__not_<__is_tuple_like<_Tp>>,
      is_move_constructible<_Tp>,
      is_move_assignable<_Tp>>
    swap(_Tp&, _Tp&)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
             is_nothrow_move_assignable<_Tp>>::value);

  template<typename _Tp, size_t _Nm>
   
    inline
    __enable_if_t<__is_swappable<_Tp>::value>
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value);


  namespace __swappable_details {
    using std::swap;

    struct __do_is_swappable_impl
    {
      template<typename _Tp, typename
               = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))>
        static true_type __test(int);

      template<typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_impl
    {
      template<typename _Tp>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))
        > __test(int);

      template<typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp>
    struct __is_swappable_impl
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp>
    struct __is_nothrow_swappable_impl
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

  template<typename _Tp>
    struct __is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };

  template<typename _Tp>
    struct __is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };







  template<typename _Tp>
    struct is_swappable
    : public __is_swappable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    inline constexpr bool is_swappable_v =
      is_swappable<_Tp>::value;


  template<typename _Tp>
    inline constexpr bool is_nothrow_swappable_v =
      is_nothrow_swappable<_Tp>::value;



  namespace __swappable_with_details {
    using std::swap;

    struct __do_is_swappable_with_impl
    {
      template<typename _Tp, typename _Up, typename
               = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())),
               typename
               = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))>
        static true_type __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_with_impl
    {
      template<typename _Tp, typename _Up>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp>(), std::declval<_Up>()))
          &&
          noexcept(swap(std::declval<_Up>(), std::declval<_Tp>()))
        > __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp, typename _Up>
    struct __is_swappable_with_impl
    : public __swappable_with_details::__do_is_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp>
    struct __is_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };

  template<typename _Tp, typename _Up>
    struct __is_nothrow_swappable_with_impl
    : public __swappable_with_details::__do_is_nothrow_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };


  template<typename _Tp>
    struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };



  template<typename _Tp, typename _Up>
    struct is_swappable_with
    : public __is_swappable_with_impl<_Tp, _Up>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "first template argument must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
 "second template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    struct is_nothrow_swappable_with
    : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "first template argument must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
 "second template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp, typename _Up>
    inline constexpr bool is_swappable_with_v =
      is_swappable_with<_Tp, _Up>::value;


  template<typename _Tp, typename _Up>
    inline constexpr bool is_nothrow_swappable_with_v =
      is_nothrow_swappable_with<_Tp, _Up>::value;
# 2876 "/usr/include/c++/11/type_traits" 3
  template<typename _Result, typename _Ret,
    bool = is_void<_Ret>::value, typename = void>
    struct __is_invocable_impl
    : false_type
    {
      using __nothrow_type = false_type;
    };


  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret,
                                true,
          __void_t<typename _Result::type>>
    : true_type
    {
      using __nothrow_type = true_type;
    };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"

  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret,
                                false,
          __void_t<typename _Result::type>>
    {
    private:



      static typename _Result::type _S_get() noexcept;

      template<typename _Tp>
 static void _S_conv(_Tp) noexcept;


      template<typename _Tp, bool _Check_Noex = false,
        typename = decltype(_S_conv<_Tp>(_S_get())),
        bool _Noex = noexcept(_S_conv<_Tp>(_S_get()))>
 static __bool_constant<_Check_Noex ? _Noex : true>
 _S_test(int);

      template<typename _Tp, bool = false>
 static false_type
 _S_test(...);

    public:

      using type = decltype(_S_test<_Ret>(1));


      using __nothrow_type = decltype(_S_test<_Ret, true>(1));
    };
#pragma GCC diagnostic pop

  template<typename _Fn, typename... _ArgTypes>
    struct __is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    { };

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept((std::declval<_Up>().*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_deref)
    {
      return noexcept(((*std::declval<_Tp>()).*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept(std::declval<_Up>().*std::declval<_Fn>());
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_deref)
    {
      return noexcept((*std::declval<_Tp>()).*std::declval<_Fn>());
    }

  template<typename _Fn, typename... _Args>
    constexpr bool __call_is_nt(__invoke_other)
    {
      return noexcept(std::declval<_Fn>()(std::declval<_Args>()...));
    }

  template<typename _Result, typename _Fn, typename... _Args>
    struct __call_is_nothrow
    : __bool_constant<
 std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{})
      >
    { };

  template<typename _Fn, typename... _Args>
    using __call_is_nothrow_
      = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>;


  template<typename _Fn, typename... _Args>
    struct __is_nothrow_invocable
    : __and_<__is_invocable<_Fn, _Args...>,
             __call_is_nothrow_<_Fn, _Args...>>::type
    { };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
  struct __nonesuchbase {};
  struct __nonesuch : private __nonesuchbase {
    ~__nonesuch() = delete;
    __nonesuch(__nonesuch const&) = delete;
    void operator=(__nonesuch const&) = delete;
  };
#pragma GCC diagnostic pop






  template<typename _Functor, typename... _ArgTypes>
    struct invoke_result
    : public __invoke_result<_Functor, _ArgTypes...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Functor>{}),
 "_Functor must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };


  template<typename _Fn, typename... _Args>
    using invoke_result_t = typename invoke_result<_Fn, _Args...>::type;


  template<typename _Fn, typename... _ArgTypes>
    struct is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };


  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_invocable_r
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
 "_Ret must be a complete class or an unbounded array");
    };


  template<typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable
    : __and_<__is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>,
      __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };


  template<typename _Result, typename _Ret>
    using __is_nt_invocable_impl
      = typename __is_invocable_impl<_Result, _Ret>::__nothrow_type;



  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable_r
    : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
 "_Ret must be a complete class or an unbounded array");
    };
# 3094 "/usr/include/c++/11/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_void_v = is_void<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_array_v = is_array<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_pointer_v = is_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v =
    is_lvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v =
    is_rvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_object_pointer_v =
    is_member_object_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_function_pointer_v =
    is_member_function_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_enum_v = is_enum<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_union_v = is_union<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_class_v = is_class<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_function_v = is_function<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_reference_v = is_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_object_v = is_object<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_compound_v = is_compound<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_const_v = is_const<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_volatile_v = is_volatile<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivial_v = is_trivial<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copyable_v =
    is_trivially_copyable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_standard_layout_v = is_standard_layout<_Tp>::value;
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
template <typename _Tp>
 
  inline constexpr bool is_pod_v = is_pod<_Tp>::value;
template <typename _Tp>
  [[__deprecated__]]
  inline constexpr bool is_literal_type_v = is_literal_type<_Tp>::value;
#pragma GCC diagnostic pop
 template <typename _Tp>
  inline constexpr bool is_empty_v = is_empty<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_polymorphic_v = is_polymorphic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_abstract_v = is_abstract<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_final_v = is_final<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_constructible_v =
    is_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_default_constructible_v =
    is_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_copy_constructible_v =
    is_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_constructible_v =
    is_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_assignable_v = is_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_copy_assignable_v = is_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_assignable_v = is_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_trivially_constructible_v =
    is_trivially_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_default_constructible_v =
    is_trivially_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_constructible_v =
    is_trivially_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_constructible_v =
    is_trivially_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_trivially_assignable_v =
    is_trivially_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_assignable_v =
    is_trivially_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_assignable_v =
    is_trivially_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_destructible_v =
    is_trivially_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_nothrow_constructible_v =
    is_nothrow_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_default_constructible_v =
    is_nothrow_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_constructible_v =
    is_nothrow_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_constructible_v =
    is_nothrow_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_nothrow_assignable_v =
    is_nothrow_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_assignable_v =
    is_nothrow_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_assignable_v =
    is_nothrow_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_destructible_v =
    is_nothrow_destructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool has_virtual_destructor_v =
    has_virtual_destructor<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t rank_v = rank<_Tp>::value;
template <typename _Tp, unsigned _Idx = 0>
  inline constexpr size_t extent_v = extent<_Tp, _Idx>::value;

template <typename _Tp, typename _Up>
  inline constexpr bool is_same_v = __is_same(_Tp, _Up);




template <typename _Base, typename _Derived>
  inline constexpr bool is_base_of_v = is_base_of<_Base, _Derived>::value;
template <typename _From, typename _To>
  inline constexpr bool is_convertible_v = is_convertible<_From, _To>::value;
template<typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value;
template<typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_v
    = is_nothrow_invocable<_Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_r_v
    = is_invocable_r<_Ret, _Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_r_v
    = is_nothrow_invocable_r<_Ret, _Fn, _Args...>::value;





  template<typename _Tp>
    struct has_unique_object_representations
    : bool_constant<__has_unique_object_representations(
      remove_cv_t<remove_all_extents_t<_Tp>>
      )>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    inline constexpr bool has_unique_object_representations_v
      = has_unique_object_representations<_Tp>::value;





  template<typename _Tp>
    struct is_aggregate
    : bool_constant<__is_aggregate(remove_cv_t<_Tp>)>
    { };


  template<typename _Tp>
    inline constexpr bool is_aggregate_v = is_aggregate<_Tp>::value;
# 3598 "/usr/include/c++/11/type_traits" 3

}
# 58 "/usr/include/c++/11/bits/move.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 74 "/usr/include/c++/11/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Tp&&>(__t); }







  template<typename _Tp>
    [[__nodiscard__]]
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type&& __t) noexcept
    {
      static_assert(!std::is_lvalue_reference<_Tp>::value,
   "std::forward must not be used to convert an rvalue to an lvalue");
      return static_cast<_Tp&&>(__t);
    }






  template<typename _Tp>
    [[__nodiscard__]]
    constexpr typename std::remove_reference<_Tp>::type&&
    move(_Tp&& __t) noexcept
    { return static_cast<typename std::remove_reference<_Tp>::type&&>(__t); }


  template<typename _Tp>
    struct __move_if_noexcept_cond
    : public __and_<__not_<is_nothrow_move_constructible<_Tp>>,
                    is_copy_constructible<_Tp>>::type { };
# 121 "/usr/include/c++/11/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    constexpr typename
    conditional<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>::type
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
# 142 "/usr/include/c++/11/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__]]
    inline constexpr _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }



  template<typename _Tp>
    const _Tp* addressof(const _Tp&&) = delete;


  template <typename _Tp, typename _Up = _Tp>
   
    inline _Tp
    __exchange(_Tp& __obj, _Up&& __new_val)
    {
      _Tp __old_val = std::move(__obj);
      __obj = std::forward<_Up>(__new_val);
      return __old_val;
    }
# 186 "/usr/include/c++/11/bits/move.h" 3
  template<typename _Tp>
   
    inline

    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
         is_move_constructible<_Tp>,
         is_move_assignable<_Tp>>::value>::type



    swap(_Tp& __a, _Tp& __b)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>, is_nothrow_move_assignable<_Tp>>::value)

    {




      _Tp __tmp = std::move(__a);
      __a = std::move(__b);
      __b = std::move(__tmp);
    }




  template<typename _Tp, size_t _Nm>
   
    inline

    typename enable_if<__is_swappable<_Tp>::value>::type



    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value)
    {
      for (size_t __n = 0; __n < _Nm; ++__n)
 swap(__a[__n], __b[__n]);
    }



}
# 60 "/usr/include/c++/11/bits/stl_pair.h" 2 3
# 69 "/usr/include/c++/11/bits/stl_pair.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 80 "/usr/include/c++/11/bits/stl_pair.h" 3
  struct piecewise_construct_t { explicit piecewise_construct_t() = default; };


  inline constexpr piecewise_construct_t piecewise_construct =
    piecewise_construct_t();




  template<typename...>
    class tuple;

  template<size_t...>
    struct _Index_tuple;






  template <bool, typename _T1, typename _T2>
    struct _PCC
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return __and_<is_constructible<_T1, const _U1&>,
        is_constructible<_T2, const _U2&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return __and_<is_convertible<const _U1&, _T1>,
        is_convertible<const _U2&, _T2>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return __and_<is_constructible<_T1, _U1&&>,
        is_constructible<_T2, _U2&&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return __and_<is_convertible<_U1&&, _T1>,
        is_convertible<_U2&&, _T2>>::value;
      }

      template <bool __implicit, typename _U1, typename _U2>
      static constexpr bool _CopyMovePair()
      {
 using __do_converts = __and_<is_convertible<const _U1&, _T1>,
      is_convertible<_U2&&, _T2>>;
 using __converts = typename conditional<__implicit,
           __do_converts,
           __not_<__do_converts>>::type;
 return __and_<is_constructible<_T1, const _U1&>,
        is_constructible<_T2, _U2&&>,
        __converts
        >::value;
      }

      template <bool __implicit, typename _U1, typename _U2>
      static constexpr bool _MoveCopyPair()
      {
 using __do_converts = __and_<is_convertible<_U1&&, _T1>,
      is_convertible<const _U2&, _T2>>;
 using __converts = typename conditional<__implicit,
           __do_converts,
           __not_<__do_converts>>::type;
 return __and_<is_constructible<_T1, _U1&&>,
        is_constructible<_T2, const _U2&&>,
        __converts
        >::value;
      }
  };

  template <typename _T1, typename _T2>
    struct _PCC<false, _T1, _T2>
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return false;
      }
  };


  template<typename _U1, typename _U2> class __pair_base
  {

    template<typename _T1, typename _T2> friend struct pair;
    __pair_base() = default;
    ~__pair_base() = default;
    __pair_base(const __pair_base&) = default;
    __pair_base& operator=(const __pair_base&) = delete;

  };
# 210 "/usr/include/c++/11/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct pair
    : private __pair_base<_T1, _T2>
    {
      typedef _T1 first_type;
      typedef _T2 second_type;

      _T1 first;
      _T2 second;






      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                                     __is_implicitly_default_constructible<_U1>,
                                     __is_implicitly_default_constructible<_U2>>
                                   ::value, bool>::type = true>

      constexpr pair()
      : first(), second() { }


      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                       is_default_constructible<_U1>,
                       is_default_constructible<_U2>,
                       __not_<
                         __and_<__is_implicitly_default_constructible<_U1>,
                                __is_implicitly_default_constructible<_U2>>>>
                                   ::value, bool>::type = false>
      explicit constexpr pair()
      : first(), second() { }
# 256 "/usr/include/c++/11/bits/stl_pair.h" 3
      using _PCCP = _PCC<true, _T1, _T2>;



      template<typename _U1 = _T1, typename _U2=_T2, typename
        enable_if<_PCCP::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCP::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
      constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }


       template<typename _U1 = _T1, typename _U2=_T2, typename
  enable_if<_PCCP::template
       _ConstructiblePair<_U1, _U2>()
                   && !_PCCP::template
       _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
      explicit constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }
# 288 "/usr/include/c++/11/bits/stl_pair.h" 3
      template <typename _U1, typename _U2>
        using _PCCFP = _PCC<!is_same<_T1, _U1>::value
       || !is_same<_T2, _U2>::value,
       _T1, _T2>;


      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
     bool>::type=true>
        constexpr pair(const pair<_U1, _U2>& __p)
        : first(__p.first), second(__p.second) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
    && !_PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second) { }



      constexpr pair(const pair&) = default;
      constexpr pair(pair&&) = default;


      template<typename _U1, typename
        enable_if<_PCCP::template
      _MoveCopyPair<true, _U1, _T2>(),
                         bool>::type=true>
       constexpr pair(_U1&& __x, const _T2& __y)
       : first(std::forward<_U1>(__x)), second(__y) { }

      template<typename _U1, typename
        enable_if<_PCCP::template
      _MoveCopyPair<false, _U1, _T2>(),
                         bool>::type=false>
       explicit constexpr pair(_U1&& __x, const _T2& __y)
       : first(std::forward<_U1>(__x)), second(__y) { }

      template<typename _U2, typename
        enable_if<_PCCP::template
      _CopyMovePair<true, _T1, _U2>(),
                         bool>::type=true>
       constexpr pair(const _T1& __x, _U2&& __y)
       : first(__x), second(std::forward<_U2>(__y)) { }

      template<typename _U2, typename
        enable_if<_PCCP::template
      _CopyMovePair<false, _T1, _U2>(),
                         bool>::type=false>
       explicit pair(const _T1& __x, _U2&& __y)
       : first(__x), second(std::forward<_U2>(__y)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }


      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second)) { }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second)) { }

      template<typename... _Args1, typename... _Args2>

        pair(piecewise_construct_t, tuple<_Args1...>, tuple<_Args2...>);

      pair&
      operator=(typename conditional<
  __and_<is_copy_assignable<_T1>,
         is_copy_assignable<_T2>>::value,
  const pair&, const __nonesuch&>::type __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }

      pair&
      operator=(typename conditional<
  __and_<is_move_assignable<_T1>,
         is_move_assignable<_T2>>::value,
  pair&&, __nonesuch&&>::type __p)
      noexcept(__and_<is_nothrow_move_assignable<_T1>,
        is_nothrow_move_assignable<_T2>>::value)
      {
 first = std::forward<first_type>(__p.first);
 second = std::forward<second_type>(__p.second);
 return *this;
      }

      template<typename _U1, typename _U2>

 typename enable_if<__and_<is_assignable<_T1&, const _U1&>,
      is_assignable<_T2&, const _U2&>>::value,
      pair&>::type
 operator=(const pair<_U1, _U2>& __p)
 {
   first = __p.first;
   second = __p.second;
   return *this;
 }

      template<typename _U1, typename _U2>

 typename enable_if<__and_<is_assignable<_T1&, _U1&&>,
      is_assignable<_T2&, _U2&&>>::value,
      pair&>::type
 operator=(pair<_U1, _U2>&& __p)
 {
   first = std::forward<_U1>(__p.first);
   second = std::forward<_U2>(__p.second);
   return *this;
 }


      void
      swap(pair& __p)
      noexcept(__and_<__is_nothrow_swappable<_T1>,
                      __is_nothrow_swappable<_T2>>::value)
      {
 using std::swap;
 swap(first, __p.first);
 swap(second, __p.second);
      }

    private:
      template<typename... _Args1, size_t... _Indexes1,
        typename... _Args2, size_t... _Indexes2>

        pair(tuple<_Args1...>&, tuple<_Args2...>&,
      _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>);

    };




  template<typename _T1, typename _T2> pair(_T1, _T2) -> pair<_T1, _T2>;



  template<typename _T1, typename _T2>
    inline constexpr bool
    operator==(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first == __y.first && __x.second == __y.second; }
# 487 "/usr/include/c++/11/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    inline constexpr bool
    operator<(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first < __y.first
      || (!(__y.first < __x.first) && __x.second < __y.second); }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator!=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x == __y); }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __y < __x; }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator<=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__y < __x); }


  template<typename _T1, typename _T2>
    inline constexpr bool
    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x < __y); }
# 524 "/usr/include/c++/11/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    inline


    typename enable_if<__and_<__is_swappable<_T1>,
                              __is_swappable<_T2>>::value>::type



    swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }


  template<typename _T1, typename _T2>
    typename enable_if<!__and_<__is_swappable<_T1>,
          __is_swappable<_T2>>::value>::type
    swap(pair<_T1, _T2>&, pair<_T1, _T2>&) = delete;
# 564 "/usr/include/c++/11/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    constexpr pair<typename __decay_and_strip<_T1>::__type,
                   typename __decay_and_strip<_T2>::__type>
    make_pair(_T1&& __x, _T2&& __y)
    {
      typedef typename __decay_and_strip<_T1>::__type __ds_type1;
      typedef typename __decay_and_strip<_T2>::__type __ds_type2;
      typedef pair<__ds_type1, __ds_type2> __pair_type;
      return __pair_type(std::forward<_T1>(__x), std::forward<_T2>(__y));
    }
# 583 "/usr/include/c++/11/bits/stl_pair.h" 3

}
# 65 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 1 3
# 62 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
       
# 63 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
# 74 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 93 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
  struct input_iterator_tag { };


  struct output_iterator_tag { };


  struct forward_iterator_tag : public input_iterator_tag { };



  struct bidirectional_iterator_tag : public forward_iterator_tag { };



  struct random_access_iterator_tag : public bidirectional_iterator_tag { };
# 125 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
  template<typename _Category, typename _Tp, typename _Distance = ptrdiff_t,
           typename _Pointer = _Tp*, typename _Reference = _Tp&>
    struct iterator
    {

      typedef _Category iterator_category;

      typedef _Tp value_type;

      typedef _Distance difference_type;

      typedef _Pointer pointer;

      typedef _Reference reference;
    };
# 149 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
  template<typename _Iterator>
    struct iterator_traits;




  template<typename _Iterator, typename = __void_t<>>
    struct __iterator_traits { };



  template<typename _Iterator>
    struct __iterator_traits<_Iterator,
        __void_t<typename _Iterator::iterator_category,
          typename _Iterator::value_type,
          typename _Iterator::difference_type,
          typename _Iterator::pointer,
          typename _Iterator::reference>>
    {
      typedef typename _Iterator::iterator_category iterator_category;
      typedef typename _Iterator::value_type value_type;
      typedef typename _Iterator::difference_type difference_type;
      typedef typename _Iterator::pointer pointer;
      typedef typename _Iterator::reference reference;
    };


  template<typename _Iterator>
    struct iterator_traits
    : public __iterator_traits<_Iterator> { };
# 209 "/usr/include/c++/11/bits/stl_iterator_base_types.h" 3
  template<typename _Tp>
    struct iterator_traits<_Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef _Tp* pointer;
      typedef _Tp& reference;
    };


  template<typename _Tp>
    struct iterator_traits<const _Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef const _Tp* pointer;
      typedef const _Tp& reference;
    };






  template<typename _Iter>
    inline constexpr
    typename iterator_traits<_Iter>::iterator_category
    __iterator_category(const _Iter&)
    { return typename iterator_traits<_Iter>::iterator_category(); }




  template<typename _Iter>
    using __iterator_category_t
      = typename iterator_traits<_Iter>::iterator_category;

  template<typename _InIter>
    using _RequireInputIter =
      __enable_if_t<is_convertible<__iterator_category_t<_InIter>,
       input_iterator_tag>::value>;

  template<typename _It,
    typename _Cat = __iterator_category_t<_It>>
    struct __is_random_access_iter
      : is_base_of<random_access_iterator_tag, _Cat>
    {
      typedef is_base_of<random_access_iterator_tag, _Cat> _Base;
      enum { __value = _Base::value };
    };








}
# 66 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 1 3
# 62 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3
       
# 63 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3

# 1 "/usr/include/c++/11/bits/concept_check.h" 1 3
# 33 "/usr/include/c++/11/bits/concept_check.h" 3
       
# 34 "/usr/include/c++/11/bits/concept_check.h" 3
# 65 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 2 3
# 1 "/usr/include/c++/11/debug/assertions.h" 1 3
# 66 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{




  template <typename> struct _List_iterator;
  template <typename> struct _List_const_iterator;


  template<typename _InputIterator>
    inline constexpr
    typename iterator_traits<_InputIterator>::difference_type
    __distance(_InputIterator __first, _InputIterator __last,
               input_iterator_tag)
    {

     

      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      while (__first != __last)
 {
   ++__first;
   ++__n;
 }
      return __n;
    }

  template<typename _RandomAccessIterator>
    inline constexpr
    typename iterator_traits<_RandomAccessIterator>::difference_type
    __distance(_RandomAccessIterator __first, _RandomAccessIterator __last,
               random_access_iterator_tag)
    {

     

      return __last - __first;
    }



  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_iterator<_Tp>,
        std::_List_iterator<_Tp>,
        input_iterator_tag);

  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_const_iterator<_Tp>,
        std::_List_const_iterator<_Tp>,
        input_iterator_tag);
# 135 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator>
    inline constexpr
    typename iterator_traits<_InputIterator>::difference_type
    distance(_InputIterator __first, _InputIterator __last)
    {

      return std::__distance(__first, __last,
        std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Distance>
    inline constexpr void
    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
    {

     
      do { if (__builtin_is_constant_evaluated() && !bool(__n >= 0)) __builtin_unreachable(); } while (false);
      while (__n--)
 ++__i;
    }

  template<typename _BidirectionalIterator, typename _Distance>
    inline constexpr void
    __advance(_BidirectionalIterator& __i, _Distance __n,
       bidirectional_iterator_tag)
    {

     

      if (__n > 0)
        while (__n--)
   ++__i;
      else
        while (__n++)
   --__i;
    }

  template<typename _RandomAccessIterator, typename _Distance>
    inline constexpr void
    __advance(_RandomAccessIterator& __i, _Distance __n,
              random_access_iterator_tag)
    {

     

      if (__builtin_constant_p(__n) && __n == 1)
 ++__i;
      else if (__builtin_constant_p(__n) && __n == -1)
 --__i;
      else
 __i += __n;
    }
# 200 "/usr/include/c++/11/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator, typename _Distance>
    inline constexpr void
    advance(_InputIterator& __i, _Distance __n)
    {

      typename iterator_traits<_InputIterator>::difference_type __d = __n;
      std::__advance(__i, __d, std::__iterator_category(__i));
    }



  template<typename _InputIterator>
    inline constexpr _InputIterator
    next(_InputIterator __x, typename
  iterator_traits<_InputIterator>::difference_type __n = 1)
    {

     
      std::advance(__x, __n);
      return __x;
    }

  template<typename _BidirectionalIterator>
    inline constexpr _BidirectionalIterator
    prev(_BidirectionalIterator __x, typename
  iterator_traits<_BidirectionalIterator>::difference_type __n = 1)
    {

     

      std::advance(__x, -__n);
      return __x;
    }




}
# 67 "/usr/include/c++/11/bits/stl_algobase.h" 2 3
# 1 "/usr/include/c++/11/bits/stl_iterator.h" 1 3
# 67 "/usr/include/c++/11/bits/stl_iterator.h" 3
# 1 "/usr/include/c++/11/bits/ptr_traits.h" 1 3
# 42 "/usr/include/c++/11/bits/ptr_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{


  class __undefined;


  template<typename _Tp, typename _Up>
    struct __replace_first_arg
    { };

  template<template<typename, typename...> class _Template, typename _Up,
           typename _Tp, typename... _Types>
    struct __replace_first_arg<_Template<_Tp, _Types...>, _Up>
    { using type = _Template<_Up, _Types...>; };

  template<typename _Tp, typename _Up>
    using __replace_first_arg_t = typename __replace_first_arg<_Tp, _Up>::type;

  template<typename _Tp>
    using __make_not_void
      = typename conditional<is_void<_Tp>::value, __undefined, _Tp>::type;

  template<typename _Ptr>
    struct __ptr_traits_elem_1
    { };

  template<template<typename, typename...> class _SomePointer, typename _Tp,
    typename... _Args>
    struct __ptr_traits_elem_1<_SomePointer<_Tp, _Args...>>
    {
      using element_type = _Tp;
      using pointer = _SomePointer<_Tp, _Args...>;

      static pointer
      pointer_to(__make_not_void<element_type>& __e)
      { return pointer::pointer_to(__e); }
    };

  template<typename _Ptr, typename = void>
    struct __ptr_traits_elem : __ptr_traits_elem_1<_Ptr>
    { };

  template<typename _Ptr>
    struct __ptr_traits_elem<_Ptr, __void_t<typename _Ptr::element_type>>
    {
      using element_type = typename _Ptr::element_type;

      static _Ptr
      pointer_to(__make_not_void<element_type>& __e)
      { return _Ptr::pointer_to(__e); }
    };





  template<typename _Ptr>
    struct pointer_traits : __ptr_traits_elem<_Ptr>
    {
    private:
      template<typename _Tp>
 using __difference_type = typename _Tp::difference_type;

      template<typename _Tp, typename _Up, typename = void>
 struct __rebind : __replace_first_arg<_Tp, _Up> { };

      template<typename _Tp, typename _Up>
 struct __rebind<_Tp, _Up, __void_t<typename _Tp::template rebind<_Up>>>
 { using type = typename _Tp::template rebind<_Up>; };

    public:

      using pointer = _Ptr;


      using difference_type
 = __detected_or_t<ptrdiff_t, __difference_type, _Ptr>;


      template<typename _Up>
        using rebind = typename __rebind<_Ptr, _Up>::type;
    };





  template<typename _Tp>
    struct pointer_traits<_Tp*>
    {

      typedef _Tp* pointer;

      typedef _Tp element_type;

      typedef ptrdiff_t difference_type;

      template<typename _Up>
        using rebind = _Up*;






      static pointer
      pointer_to(__make_not_void<element_type>& __r) noexcept
      { return std::addressof(__r); }
    };


  template<typename _Ptr, typename _Tp>
    using __ptr_rebind = typename pointer_traits<_Ptr>::template rebind<_Tp>;

  template<typename _Tp>
    constexpr _Tp*
    __to_address(_Tp* __ptr) noexcept
    {
      static_assert(!std::is_function<_Tp>::value, "not a function pointer");
      return __ptr;
    }


  template<typename _Ptr>
    constexpr typename std::pointer_traits<_Ptr>::element_type*
    __to_address(const _Ptr& __ptr)
    { return std::__to_address(__ptr.operator->()); }
# 214 "/usr/include/c++/11/bits/ptr_traits.h" 3

}
# 68 "/usr/include/c++/11/bits/stl_iterator.h" 2 3
# 88 "/usr/include/c++/11/bits/stl_iterator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 127 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class reverse_iterator
    : public iterator<typename iterator_traits<_Iterator>::iterator_category,
        typename iterator_traits<_Iterator>::value_type,
        typename iterator_traits<_Iterator>::difference_type,
        typename iterator_traits<_Iterator>::pointer,
                      typename iterator_traits<_Iterator>::reference>
    {
      template<typename _Iter>
 friend class reverse_iterator;
# 146 "/usr/include/c++/11/bits/stl_iterator.h" 3
    protected:
      _Iterator current;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::pointer pointer;

      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
# 177 "/usr/include/c++/11/bits/stl_iterator.h" 3
      constexpr
      reverse_iterator() : current() { }




      explicit constexpr
      reverse_iterator(iterator_type __x) : current(__x) { }




      constexpr
      reverse_iterator(const reverse_iterator& __x)
      : current(__x.current) { }


      reverse_iterator& operator=(const reverse_iterator&) = default;






      template<typename _Iter>



 constexpr
        reverse_iterator(const reverse_iterator<_Iter>& __x)
 : current(__x.current) { }


      template<typename _Iter>




 constexpr
 reverse_iterator&
 operator=(const reverse_iterator<_Iter>& __x)
 {
   current = __x.current;
   return *this;
 }





      constexpr iterator_type
      base() const
      { return current; }
# 241 "/usr/include/c++/11/bits/stl_iterator.h" 3
      constexpr reference
      operator*() const
      {
 _Iterator __tmp = current;
 return *--__tmp;
      }






      constexpr pointer
      operator->() const




      {


 _Iterator __tmp = current;
 --__tmp;
 return _S_to_pointer(__tmp);
      }






      constexpr reverse_iterator&
      operator++()
      {
 --current;
 return *this;
      }






      constexpr reverse_iterator
      operator++(int)
      {
 reverse_iterator __tmp = *this;
 --current;
 return __tmp;
      }






      constexpr reverse_iterator&
      operator--()
      {
 ++current;
 return *this;
      }






      constexpr reverse_iterator
      operator--(int)
      {
 reverse_iterator __tmp = *this;
 ++current;
 return __tmp;
      }






      constexpr reverse_iterator
      operator+(difference_type __n) const
      { return reverse_iterator(current - __n); }







      constexpr reverse_iterator&
      operator+=(difference_type __n)
      {
 current -= __n;
 return *this;
      }






      constexpr reverse_iterator
      operator-(difference_type __n) const
      { return reverse_iterator(current + __n); }







      constexpr reverse_iterator&
      operator-=(difference_type __n)
      {
 current += __n;
 return *this;
      }






      constexpr reference
      operator[](difference_type __n) const
      { return *(*this + __n); }
# 395 "/usr/include/c++/11/bits/stl_iterator.h" 3
    private:
      template<typename _Tp>
 static constexpr _Tp*
 _S_to_pointer(_Tp* __p)
        { return __p; }

      template<typename _Tp>
 static constexpr pointer
 _S_to_pointer(_Tp __t)
        { return __t.operator->(); }
    };
# 418 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    inline constexpr bool
    operator==(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator<(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y.base() < __x.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator!=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    inline constexpr bool
    operator>(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y < __x; }

  template<typename _Iterator>
    inline constexpr bool
    operator<=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__y < __x); }

  template<typename _Iterator>
    inline constexpr bool
    operator>=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x < __y); }




  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator==(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __x.base() > __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator!=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() != __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() >= __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() <= __y.base(); }
# 575 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    inline constexpr auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { return __y.base() - __x.base(); }


  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    operator+(typename reverse_iterator<_Iterator>::difference_type __n,
       const reverse_iterator<_Iterator>& __x)
    { return reverse_iterator<_Iterator>(__x.base() - __n); }



  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    __make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }







  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }
# 616 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
   
    auto
    __niter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__niter_base(__it.base())))
    { return __make_reverse_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<reverse_iterator<_Iterator> >
      : __is_move_iterator<_Iterator>
    { };

  template<typename _Iterator>
   
    auto
    __miter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__miter_base(__it.base())))
    { return __make_reverse_iterator(__miter_base(__it.base())); }
# 647 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
    class back_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;

    public:

      typedef _Container container_type;







      explicit
      back_insert_iterator(_Container& __x)
      : container(std::__addressof(__x)) { }
# 687 "/usr/include/c++/11/bits/stl_iterator.h" 3
     
      back_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_back(__value);
 return *this;
      }

     
      back_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_back(std::move(__value));
 return *this;
      }



     
      back_insert_iterator&
      operator*()
      { return *this; }


     
      back_insert_iterator&
      operator++()
      { return *this; }


     
      back_insert_iterator
      operator++(int)
      { return *this; }
    };
# 734 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
   
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
# 750 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
    class front_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;

    public:

      typedef _Container container_type;







      explicit
      front_insert_iterator(_Container& __x)
      : container(std::__addressof(__x)) { }
# 790 "/usr/include/c++/11/bits/stl_iterator.h" 3
     
      front_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_front(__value);
 return *this;
      }

     
      front_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_front(std::move(__value));
 return *this;
      }



     
      front_insert_iterator&
      operator*()
      { return *this; }


     
      front_insert_iterator&
      operator++()
      { return *this; }


     
      front_insert_iterator
      operator++(int)
      { return *this; }
    };
# 837 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
   
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
# 857 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
    class insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {







      typedef typename _Container::iterator _Iter;

    protected:
      _Container* container;
      _Iter iter;


    public:

      typedef _Container container_type;
# 889 "/usr/include/c++/11/bits/stl_iterator.h" 3
     
      insert_iterator(_Container& __x, _Iter __i)
      : container(std::__addressof(__x)), iter(__i) {}
# 925 "/usr/include/c++/11/bits/stl_iterator.h" 3
     
      insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 iter = container->insert(iter, __value);
 ++iter;
 return *this;
      }

     
      insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 iter = container->insert(iter, std::move(__value));
 ++iter;
 return *this;
      }



     
      insert_iterator&
      operator*()
      { return *this; }


     
      insert_iterator&
      operator++()
      { return *this; }


     
      insert_iterator&
      operator++(int)
      { return *this; }
    };
# 981 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Container>
    inline insert_iterator<_Container>
    inserter(_Container& __x, typename _Container::iterator __i)
    { return insert_iterator<_Container>(__x, __i); }





}

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

# 1003 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator, typename _Container>
    class __normal_iterator
    {
    protected:
      _Iterator _M_current;

      typedef std::iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
      typedef typename __traits_type::pointer pointer;





      constexpr __normal_iterator() noexcept
      : _M_current(_Iterator()) { }

      explicit
      __normal_iterator(const _Iterator& __i) noexcept
      : _M_current(__i) { }


      template<typename _Iter>
       
        __normal_iterator(const __normal_iterator<_Iter,
     typename __enable_if<
              (std::__are_same<_Iter, typename _Container::pointer>::__value),
        _Container>::__type>& __i) noexcept
        : _M_current(__i.base()) { }


     
      reference
      operator*() const noexcept
      { return *_M_current; }

     
      pointer
      operator->() const noexcept
      { return _M_current; }

     
      __normal_iterator&
      operator++() noexcept
      {
 ++_M_current;
 return *this;
      }

     
      __normal_iterator
      operator++(int) noexcept
      { return __normal_iterator(_M_current++); }


     
      __normal_iterator&
      operator--() noexcept
      {
 --_M_current;
 return *this;
      }

     
      __normal_iterator
      operator--(int) noexcept
      { return __normal_iterator(_M_current--); }


     
      reference
      operator[](difference_type __n) const noexcept
      { return _M_current[__n]; }

     
      __normal_iterator&
      operator+=(difference_type __n) noexcept
      { _M_current += __n; return *this; }

     
      __normal_iterator
      operator+(difference_type __n) const noexcept
      { return __normal_iterator(_M_current + __n); }

     
      __normal_iterator&
      operator-=(difference_type __n) noexcept
      { _M_current -= __n; return *this; }

     
      __normal_iterator
      operator-(difference_type __n) const noexcept
      { return __normal_iterator(_M_current - __n); }

     
      const _Iterator&
      base() const noexcept
      { return _M_current; }
    };
# 1152 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR, typename _Container>
   
    inline bool
    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline bool
    operator==(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
   
    inline bool
    operator!=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline bool
    operator!=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }


  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator<(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline bool
    operator<(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator>(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline bool
    operator>(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator<=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline bool
    operator<=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator>=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline bool
    operator>=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }






  template<typename _IteratorL, typename _IteratorR, typename _Container>


   
    inline auto
    operator-(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs) noexcept
    -> decltype(__lhs.base() - __rhs.base())





    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline typename __normal_iterator<_Iterator, _Container>::difference_type
    operator-(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
   
    inline __normal_iterator<_Iterator, _Container>
    operator+(typename __normal_iterator<_Iterator, _Container>::difference_type
       __n, const __normal_iterator<_Iterator, _Container>& __i)
    noexcept
    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }


}

namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _Iterator, typename _Container>
   
    _Iterator
    __niter_base(__gnu_cxx::__normal_iterator<_Iterator, _Container> __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it.base(); }
# 1342 "/usr/include/c++/11/bits/stl_iterator.h" 3
  namespace __detail
  {
# 1358 "/usr/include/c++/11/bits/stl_iterator.h" 3
  }
# 1369 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class move_iterator



    {
      _Iterator _M_current;

      using __traits_type = iterator_traits<_Iterator>;

      using __base_ref = typename __traits_type::reference;


      template<typename _Iter2>
 friend class move_iterator;
# 1408 "/usr/include/c++/11/bits/stl_iterator.h" 3
    public:
      using iterator_type = _Iterator;
# 1422 "/usr/include/c++/11/bits/stl_iterator.h" 3
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;

      typedef _Iterator pointer;


      typedef typename conditional<is_reference<__base_ref>::value,
    typename remove_reference<__base_ref>::type&&,
    __base_ref>::type reference;


      constexpr
      move_iterator()
      : _M_current() { }

      explicit constexpr
      move_iterator(iterator_type __i)
      : _M_current(std::move(__i)) { }

      template<typename _Iter>



 constexpr
 move_iterator(const move_iterator<_Iter>& __i)
 : _M_current(__i._M_current) { }

      template<typename _Iter>




 constexpr
 move_iterator& operator=(const move_iterator<_Iter>& __i)
 {
   _M_current = __i._M_current;
   return *this;
 }


      constexpr iterator_type
      base() const
      { return _M_current; }
# 1476 "/usr/include/c++/11/bits/stl_iterator.h" 3
      constexpr reference
      operator*() const



      { return static_cast<reference>(*_M_current); }


      constexpr pointer
      operator->() const
      { return _M_current; }

      constexpr move_iterator&
      operator++()
      {
 ++_M_current;
 return *this;
      }

      constexpr move_iterator
      operator++(int)
      {
 move_iterator __tmp = *this;
 ++_M_current;
 return __tmp;
      }







      constexpr move_iterator&
      operator--()
      {
 --_M_current;
 return *this;
      }

      constexpr move_iterator
      operator--(int)
      {
 move_iterator __tmp = *this;
 --_M_current;
 return __tmp;
      }

      constexpr move_iterator
      operator+(difference_type __n) const
      { return move_iterator(_M_current + __n); }

      constexpr move_iterator&
      operator+=(difference_type __n)
      {
 _M_current += __n;
 return *this;
      }

      constexpr move_iterator
      operator-(difference_type __n) const
      { return move_iterator(_M_current - __n); }

      constexpr move_iterator&
      operator-=(difference_type __n)
      {
 _M_current -= __n;
 return *this;
      }

      constexpr reference
      operator[](difference_type __n) const



      { return std::move(_M_current[__n]); }
# 1581 "/usr/include/c++/11/bits/stl_iterator.h" 3
    };

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator==(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return __x.base() == __y.base(); }
# 1600 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator!=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x == __y); }


  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__y < __x); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __y < __x; }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator>=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__x < __y); }




  template<typename _Iterator>
    inline constexpr bool
    operator==(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }
# 1659 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
    inline constexpr bool
    operator!=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    inline constexpr bool
    operator<(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __x.base() < __y.base(); }

  template<typename _Iterator>
    inline constexpr bool
    operator<=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__y < __x); }

  template<typename _Iterator>
    inline constexpr bool
    operator>(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __y < __x; }

  template<typename _Iterator>
    inline constexpr bool
    operator>=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x < __y); }



  template<typename _IteratorL, typename _IteratorR>
    inline constexpr auto
    operator-(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    -> decltype(__x.base() - __y.base())
    { return __x.base() - __y.base(); }

  template<typename _Iterator>
    inline constexpr move_iterator<_Iterator>
    operator+(typename move_iterator<_Iterator>::difference_type __n,
       const move_iterator<_Iterator>& __x)
    { return __x + __n; }

  template<typename _Iterator>
    inline constexpr move_iterator<_Iterator>
    make_move_iterator(_Iterator __i)
    { return move_iterator<_Iterator>(std::move(__i)); }

  template<typename _Iterator, typename _ReturnType
    = typename conditional<__move_if_noexcept_cond
      <typename iterator_traits<_Iterator>::value_type>::value,
                _Iterator, move_iterator<_Iterator>>::type>
    inline constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Iterator __i)
    { return _ReturnType(__i); }



  template<typename _Tp, typename _ReturnType
    = typename conditional<__move_if_noexcept_cond<_Tp>::value,
      const _Tp*, move_iterator<_Tp*>>::type>
    inline constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Tp* __i)
    { return _ReturnType(__i); }
# 2447 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _Iterator>
   
    auto
    __niter_base(move_iterator<_Iterator> __it)
    -> decltype(make_move_iterator(__niter_base(__it.base())))
    { return make_move_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
    struct __is_move_iterator<move_iterator<_Iterator> >
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<typename _Iterator>
   
    auto
    __miter_base(move_iterator<_Iterator> __it)
    -> decltype(__miter_base(__it.base()))
    { return __miter_base(__it.base()); }
# 2479 "/usr/include/c++/11/bits/stl_iterator.h" 3
  template<typename _InputIterator>
    using __iter_key_t = remove_const_t<
    typename iterator_traits<_InputIterator>::value_type::first_type>;

  template<typename _InputIterator>
    using __iter_val_t =
    typename iterator_traits<_InputIterator>::value_type::second_type;

  template<typename _T1, typename _T2>
    struct pair;

  template<typename _InputIterator>
    using __iter_to_alloc_t =
    pair<add_const_t<__iter_key_t<_InputIterator>>,
  __iter_val_t<_InputIterator>>;



}
# 68 "/usr/include/c++/11/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/11/debug/debug.h" 1 3
# 48 "/usr/include/c++/11/debug/debug.h" 3
namespace std
{
  namespace __debug { }
}




namespace __gnu_debug
{
  using namespace std::__debug;

  template<typename _Ite, typename _Seq, typename _Cat>
    struct _Safe_iterator;
}
# 70 "/usr/include/c++/11/bits/stl_algobase.h" 2 3

# 1 "/usr/include/c++/11/bits/predefined_ops.h" 1 3
# 35 "/usr/include/c++/11/bits/predefined_ops.h" 3
namespace __gnu_cxx
{
namespace __ops
{
  struct _Iter_less_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      constexpr
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 < *__it2; }
  };

  constexpr
  inline _Iter_less_iter
  __iter_less_iter()
  { return _Iter_less_iter(); }

  struct _Iter_less_val
  {

    constexpr _Iter_less_val() = default;




   
    explicit
    _Iter_less_val(_Iter_less_iter) { }

    template<typename _Iterator, typename _Value>
     
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it < __val; }
  };

 
  inline _Iter_less_val
  __iter_less_val()
  { return _Iter_less_val(); }

 
  inline _Iter_less_val
  __iter_comp_val(_Iter_less_iter)
  { return _Iter_less_val(); }

  struct _Val_less_iter
  {

    constexpr _Val_less_iter() = default;




   
    explicit
    _Val_less_iter(_Iter_less_iter) { }

    template<typename _Value, typename _Iterator>
     
      bool
      operator()(_Value& __val, _Iterator __it) const
      { return __val < *__it; }
  };

 
  inline _Val_less_iter
  __val_less_iter()
  { return _Val_less_iter(); }

 
  inline _Val_less_iter
  __val_comp_iter(_Iter_less_iter)
  { return _Val_less_iter(); }

  struct _Iter_equal_to_iter
  {
    template<typename _Iterator1, typename _Iterator2>
     
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 == *__it2; }
  };

 
  inline _Iter_equal_to_iter
  __iter_equal_to_iter()
  { return _Iter_equal_to_iter(); }

  struct _Iter_equal_to_val
  {
    template<typename _Iterator, typename _Value>
     
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it == __val; }
  };

 
  inline _Iter_equal_to_val
  __iter_equal_to_val()
  { return _Iter_equal_to_val(); }

 
  inline _Iter_equal_to_val
  __iter_comp_val(_Iter_equal_to_iter)
  { return _Iter_equal_to_val(); }

  template<typename _Compare>
    struct _Iter_comp_iter
    {
      _Compare _M_comp;

      explicit constexpr
      _Iter_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      template<typename _Iterator1, typename _Iterator2>
        constexpr
        bool
        operator()(_Iterator1 __it1, _Iterator2 __it2)
        { return bool(_M_comp(*__it1, *__it2)); }
    };

  template<typename _Compare>
    constexpr
    inline _Iter_comp_iter<_Compare>
    __iter_comp_iter(_Compare __comp)
    { return _Iter_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Iter_comp_val
    {
      _Compare _M_comp;

     
      explicit
      _Iter_comp_val(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

     
      explicit
      _Iter_comp_val(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


     
      explicit
      _Iter_comp_val(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Iterator, typename _Value>

 bool
 operator()(_Iterator __it, _Value& __val)
 { return bool(_M_comp(*__it, __val)); }
    };

  template<typename _Compare>
   
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Compare __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
   
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Iter_comp_iter<_Compare> __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Val_comp_iter
    {
      _Compare _M_comp;

     
      explicit
      _Val_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

     
      explicit
      _Val_comp_iter(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


     
      explicit
      _Val_comp_iter(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Value, typename _Iterator>

 bool
 operator()(_Value& __val, _Iterator __it)
 { return bool(_M_comp(__val, *__it)); }
    };

  template<typename _Compare>
   
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Compare __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
   
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Iter_comp_iter<_Compare> __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Value>
    struct _Iter_equals_val
    {
      _Value& _M_value;

     
      explicit
      _Iter_equals_val(_Value& __value)
 : _M_value(__value)
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return *__it == _M_value; }
    };

  template<typename _Value>
   
    inline _Iter_equals_val<_Value>
    __iter_equals_val(_Value& __val)
    { return _Iter_equals_val<_Value>(__val); }

  template<typename _Iterator1>
    struct _Iter_equals_iter
    {
      _Iterator1 _M_it1;

     
      explicit
      _Iter_equals_iter(_Iterator1 __it1)
 : _M_it1(__it1)
      { }

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return *__it2 == *_M_it1; }
    };

  template<typename _Iterator>
   
    inline _Iter_equals_iter<_Iterator>
    __iter_comp_iter(_Iter_equal_to_iter, _Iterator __it)
    { return _Iter_equals_iter<_Iterator>(__it); }

  template<typename _Predicate>
    struct _Iter_pred
    {
      _Predicate _M_pred;

     
      explicit
      _Iter_pred(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
   
    inline _Iter_pred<_Predicate>
    __pred_iter(_Predicate __pred)
    { return _Iter_pred<_Predicate>(std::move(__pred)); }

  template<typename _Compare, typename _Value>
    struct _Iter_comp_to_val
    {
      _Compare _M_comp;
      _Value& _M_value;

     
      _Iter_comp_to_val(_Compare __comp, _Value& __value)
 : _M_comp(std::move(__comp)), _M_value(__value)
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_comp(*__it, _M_value)); }
    };

  template<typename _Compare, typename _Value>
    _Iter_comp_to_val<_Compare, _Value>
   
    __iter_comp_val(_Compare __comp, _Value &__val)
    {
      return _Iter_comp_to_val<_Compare, _Value>(std::move(__comp), __val);
    }

  template<typename _Compare, typename _Iterator1>
    struct _Iter_comp_to_iter
    {
      _Compare _M_comp;
      _Iterator1 _M_it1;

     
      _Iter_comp_to_iter(_Compare __comp, _Iterator1 __it1)
 : _M_comp(std::move(__comp)), _M_it1(__it1)
      { }

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return bool(_M_comp(*__it2, *_M_it1)); }
    };

  template<typename _Compare, typename _Iterator>
   
    inline _Iter_comp_to_iter<_Compare, _Iterator>
    __iter_comp_iter(_Iter_comp_iter<_Compare> __comp, _Iterator __it)
    {
      return _Iter_comp_to_iter<_Compare, _Iterator>(
   std::move(__comp._M_comp), __it);
    }

  template<typename _Predicate>
    struct _Iter_negate
    {
      _Predicate _M_pred;

     
      explicit
      _Iter_negate(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return !bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
   
    inline _Iter_negate<_Predicate>
    __negate(_Iter_pred<_Predicate> __pred)
    { return _Iter_negate<_Predicate>(std::move(__pred._M_pred)); }

}
}
# 72 "/usr/include/c++/11/bits/stl_algobase.h" 2 3







namespace std __attribute__ ((__visibility__ ("default")))
{






  template<typename _Tp, typename _Up>
    constexpr
    inline int
    __memcmp(const _Tp* __first1, const _Up* __first2, size_t __num)
    {

      static_assert(sizeof(_Tp) == sizeof(_Up), "can be compared with memcmp");
# 105 "/usr/include/c++/11/bits/stl_algobase.h" 3
 return __builtin_memcmp(__first1, __first2, sizeof(_Tp) * __num);
    }
# 149 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {

     

     
# 182 "/usr/include/c++/11/bits/stl_algobase.h" 3
      swap(*__a, *__b);

    }
# 198 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    _ForwardIterator2
    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
  _ForwardIterator2 __first2)
    {

     

     

      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 std::iter_swap(__first1, __first2);
      return __first2;
    }
# 227 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b)
    {

     

      if (__b < __a)
 return __b;
      return __a;
    }
# 251 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _Tp>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b)
    {

     

      if (__a < __b)
 return __b;
      return __a;
    }
# 275 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__b, __a))
 return __b;
      return __a;
    }
# 297 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__a, __b))
 return __b;
      return __a;
    }



  template<typename _Iterator>
   
    inline _Iterator
    __niter_base(_Iterator __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it; }

  template<typename _Ite, typename _Seq>
    _Ite
    __niter_base(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq,
   std::random_access_iterator_tag>&);




  template<typename _From, typename _To>
   
    inline _From
    __niter_wrap(_From __from, _To __res)
    { return __from + (__res - std::__niter_base(__from)); }


  template<typename _Iterator>
   
    inline _Iterator
    __niter_wrap(const _Iterator&, _Iterator __res)
    { return __res; }







  template<bool _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = *__first;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move<true, false, _Category>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   for (; __first != __last; ++__result, (void)++__first)
     *__result = std::move(*__first);
   return __result;
 }
    };


  template<>
    struct __copy_move<false, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = *__first;
       ++__first;
       ++__result;
     }
   return __result;
 }
    };


  template<>
    struct __copy_move<true, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>

 static _OI
 __copy_m(_II __first, _II __last, _OI __result)
 {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = std::move(*__first);
       ++__first;
       ++__result;
     }
   return __result;
 }
    };


  template<bool _IsMove>
    struct __copy_move<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>

 static _Tp*
 __copy_m(const _Tp* __first, const _Tp* __last, _Tp* __result)
 {

   using __assignable = conditional<_IsMove,
        is_move_assignable<_Tp>,
        is_copy_assignable<_Tp>>;

   static_assert( __assignable::type::value, "type is not assignable" );

   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __builtin_memmove(__result, __first, sizeof(_Tp) * _Num);
   return __result + _Num;
 }
    };



  template<typename _Tp, typename _Ref, typename _Ptr>
    struct _Deque_iterator;

  struct _Bit_iterator;





  template<typename _CharT>
    struct char_traits;

  template<typename _CharT, typename _Traits>
    class istreambuf_iterator;

  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator;

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(_CharT*, _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(const _CharT*, const _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
     istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_move_a2(
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 std::_Deque_iterator<_CharT, _CharT&, _CharT*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a2(_II __first, _II __last, _OI __result)
    {
      typedef typename iterator_traits<_II>::iterator_category _Category;





      return std::__copy_move<_IsMove, __memcpyable<_OI, _II>::__value,
         _Category>::__copy_m(__first, __last, __result);
    }

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_a1(std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_a1(_II, _II, std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a1(_II __first, _II __last, _OI __result)
    { return std::__copy_move_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_a1<_IsMove>(std::__niter_base(__first),
          std::__niter_base(__last),
          std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_a(_II, _II,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);

  template<typename _InputIterator, typename _Size, typename _OutputIterator>
   
    _OutputIterator
    __copy_n_a(_InputIterator __first, _Size __n, _OutputIterator __result,
        bool)
    {
      if (__n > 0)
 {
   while (true)
     {
       *__result = *__first;
       ++__result;
       if (--__n > 0)
  ++__first;
       else
  break;
     }
 }
      return __result;
    }

  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value, _CharT*>::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >,
        _Size, _CharT*, bool);

  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >, _Size,
        std::_Deque_iterator<_CharT, _CharT&, _CharT*>,
        bool);
# 608 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    copy(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<__is_move_iterator<_II>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 641 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<true>(std::__miter_base(__first),
          std::__miter_base(__last), __result);
    }






  template<bool _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move_backward
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = *--__last;
   return __result;
 }
    };


  template<typename _Category>
    struct __copy_move_backward<true, false, _Category>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   while (__first != __last)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<false, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type
     __n = __last - __first;
   for (; __n > 0; --__n)
     *--__result = *--__last;
   return __result;
 }
    };


  template<>
    struct __copy_move_backward<true, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>

 static _BI2
 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
 {
   typename iterator_traits<_BI1>::difference_type
     __n = __last - __first;
   for (; __n > 0; --__n)
     *--__result = std::move(*--__last);
   return __result;
 }
    };


  template<bool _IsMove>
    struct __copy_move_backward<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>

 static _Tp*
 __copy_move_b(const _Tp* __first, const _Tp* __last, _Tp* __result)
 {

   using __assignable = conditional<_IsMove,
        is_move_assignable<_Tp>,
        is_copy_assignable<_Tp>>;

   static_assert( __assignable::type::value, "type is not assignable" );

   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __builtin_memmove(__result - _Num, __first, sizeof(_Tp) * _Num);
   return __result - _Num;
 }
    };

  template<bool _IsMove, typename _BI1, typename _BI2>
   
    inline _BI2
    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef typename iterator_traits<_BI1>::iterator_category _Category;





      return std::__copy_move_backward<_IsMove,
           __memcpyable<_BI2, _BI1>::__value,
           _Category>::__copy_move_b(__first,
         __last,
         __result);
    }

  template<bool _IsMove, typename _BI1, typename _BI2>
   
    inline _BI2
    __copy_move_backward_a1(_BI1 __first, _BI1 __last, _BI2 __result)
    { return std::__copy_move_backward_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_backward_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_backward_a1(
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_backward_a1(_II, _II,
       std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
   
    inline _OI
    __copy_move_backward_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_backward_a1<_IsMove>
    (std::__niter_base(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_backward_a(_II, _II,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);
# 845 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
   
    inline _BI2
    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     


      ;

      return std::__copy_move_backward_a<__is_move_iterator<_BI1>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 881 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
   
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     


      ;

      return std::__copy_move_backward_a<true>(std::__miter_base(__first),
            std::__miter_base(__last),
            __result);
    }






  template<typename _ForwardIterator, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      for (; __first != __last; ++__first)
 *__first = __value;
    }

  template<typename _ForwardIterator, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __first != __last; ++__first)
 *__first = __tmp;
    }


  template<typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type
    __fill_a1(_Tp* __first, _Tp* __last, const _Tp& __c)
    {
      const _Tp __tmp = __c;
# 943 "/usr/include/c++/11/bits/stl_algobase.h" 3
      if (const size_t __len = __last - __first)
 __builtin_memset(__first, static_cast<unsigned char>(__tmp), __len);
    }

  template<typename _Ite, typename _Cont, typename _Tp>
   
    inline void
    __fill_a1(::__gnu_cxx::__normal_iterator<_Ite, _Cont> __first,
       ::__gnu_cxx::__normal_iterator<_Ite, _Cont> __last,
       const _Tp& __value)
    { std::__fill_a1(__first.base(), __last.base(), __value); }

  template<typename _Tp, typename _VTp>
    void
    __fill_a1(const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const _VTp&);

  void
  __fill_a1(std::_Bit_iterator, std::_Bit_iterator,
     const bool&);

  template<typename _FIte, typename _Tp>
   
    inline void
    __fill_a(_FIte __first, _FIte __last, const _Tp& __value)
    { std::__fill_a1(__first, __last, __value); }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Tp>
    void
    __fill_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const _Tp&);
# 989 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
   
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {

     

      ;

      std::__fill_a(__first, __last, __value);
    }


  inline constexpr int
  __size_to_integer(int __n) { return __n; }
  inline constexpr unsigned
  __size_to_integer(unsigned __n) { return __n; }
  inline constexpr long
  __size_to_integer(long __n) { return __n; }
  inline constexpr unsigned long
  __size_to_integer(unsigned long __n) { return __n; }
  inline constexpr long long
  __size_to_integer(long long __n) { return __n; }
  inline constexpr unsigned long long
  __size_to_integer(unsigned long long __n) { return __n; }


  inline constexpr __int128
  __size_to_integer(__int128 __n) { return __n; }
  inline constexpr unsigned __int128
  __size_to_integer(unsigned __int128 __n) { return __n; }
# 1041 "/usr/include/c++/11/bits/stl_algobase.h" 3
  inline constexpr long long
  __size_to_integer(float __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(double __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(long double __n) { return (long long)__n; }





  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      for (; __n > 0; --__n, (void) ++__first)
 *__first = __value;
      return __first;
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __n > 0; --__n, (void) ++__first)
 *__first = __tmp;
      return __first;
    }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Size,
    typename _Tp>
    ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __fill_n_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>& __first,
        _Size __n, const _Tp& __value,
        std::input_iterator_tag);

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::output_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::input_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::random_access_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      if (__n <= 0)
 return __first;

      ;

      std::__fill_a(__first, __first + __n, __value);
      return __first + __n;
    }
# 1141 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _OI, typename _Size, typename _Tp>
   
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {

     

      return std::__fill_n_a(__first, std::__size_to_integer(__n), __value,
          std::__iterator_category(__first));
    }

  template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>

 static bool
 equal(_II1 __first1, _II1 __last1, _II2 __first2)
 {
   for (; __first1 != __last1; ++__first1, (void) ++__first2)
     if (!(*__first1 == *__first2))
       return false;
   return true;
 }
    };

  template<>
    struct __equal<true>
    {
      template<typename _Tp>

 static bool
 equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
 {
   if (const size_t __len = (__last1 - __first1))
     return !std::__memcmp(__first1, __first2, __len);
   return true;
 }
    };

  template<typename _Tp, typename _Ref, typename _Ptr, typename _II>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   _II);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __equal_aux1(std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II, typename _Tp, typename _Ref, typename _Ptr>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(_II, _II,
  std::_Deque_iterator<_Tp, _Ref, _Ptr>);

  template<typename _II1, typename _II2>
   
    inline bool
    __equal_aux1(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      const bool __simple = ((__is_integer<_ValueType1>::__value
         || __is_pointer<_ValueType1>::__value)
        && __memcmpable<_II1, _II2>::__value);
      return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }

  template<typename _II1, typename _II2>
   
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      return std::__equal_aux1(std::__niter_base(__first1),
          std::__niter_base(__last1),
          std::__niter_base(__first2));
    }

  template<typename _II1, typename _Seq1, typename _Cat1, typename _II2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  _II2);

  template<typename _II1, typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(_II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename _II1, typename _Seq1, typename _Cat1,
    typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>

 static _II1
 __newlast1(_II1, _II1 __last1, _II2, _II2)
 { return __last1; }

      template<typename _II>

 static bool
 __cnd2(_II __first, _II __last)
 { return __first != __last; }
    };

  template<>
    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
    {
      template<typename _RAI1, typename _RAI2>

 static _RAI1
 __newlast1(_RAI1 __first1, _RAI1 __last1,
     _RAI2 __first2, _RAI2 __last2)
 {
   const typename iterator_traits<_RAI1>::difference_type
     __diff1 = __last1 - __first1;
   const typename iterator_traits<_RAI2>::difference_type
     __diff2 = __last2 - __first2;
   return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
 }

      template<typename _RAI>
 static bool
 __cnd2(_RAI, _RAI)
 { return true; }
    };

  template<typename _II1, typename _II2, typename _Compare>
   
    bool
    __lexicographical_compare_impl(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2,
       _Compare __comp)
    {
      typedef typename iterator_traits<_II1>::iterator_category _Category1;
      typedef typename iterator_traits<_II2>::iterator_category _Category2;
      typedef std::__lc_rai<_Category1, _Category2> __rai_type;

      __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
    ++__first1, (void)++__first2)
 {
   if (__comp(__first1, __first2))
     return true;
   if (__comp(__first2, __first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }

  template<bool _BoolType>
    struct __lexicographical_compare
    {
      template<typename _II1, typename _II2>

 static bool
 __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   using __gnu_cxx::__ops::__iter_less_iter;
   return std::__lexicographical_compare_impl(__first1, __last1,
           __first2, __last2,
           __iter_less_iter());
 }

      template<typename _II1, typename _II2>

 static int
 __3way(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   while (__first1 != __last1)
     {
       if (__first2 == __last2)
  return +1;
       if (*__first1 < *__first2)
  return -1;
       if (*__first2 < *__first1)
  return +1;
       ++__first1;
       ++__first2;
     }
   return int(__first2 == __last2) - 1;
 }
    };

  template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>

 static bool
 __lc(const _Tp* __first1, const _Tp* __last1,
      const _Up* __first2, const _Up* __last2)
 { return __3way(__first1, __last1, __first2, __last2) < 0; }

      template<typename _Tp, typename _Up>

 static ptrdiff_t
 __3way(const _Tp* __first1, const _Tp* __last1,
        const _Up* __first2, const _Up* __last2)
 {
   const size_t __len1 = __last1 - __first1;
   const size_t __len2 = __last2 - __first2;
   if (const size_t __len = std::min(__len1, __len2))
     if (int __result = std::__memcmp(__first1, __first2, __len))
       return __result;
   return ptrdiff_t(__len1 - __len2);
 }
    };

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux1(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple =
 (__is_memcmp_ordered_with<_ValueType1, _ValueType2>::__value
  && __is_pointer<_II1>::__value
  && __is_pointer<_II2>::__value







  );

      return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
           __first2, __last2);
    }

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 _Tp2*, _Tp2*);

  template<typename _Tp1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(_Tp1*, _Tp1*,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
      _II2 __first2, _II2 __last2)
    {
      return std::__lexicographical_compare_aux1(std::__niter_base(__first1),
       std::__niter_base(__last1),
       std::__niter_base(__first2),
       std::__niter_base(__last2));
    }

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _II2>
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  _II2, _II2);

  template<typename _II1,
    typename _Iter2, typename _Seq2, typename _Cat2>
    bool
    __lexicographical_compare_aux(
  _II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _Iter2, typename _Seq2, typename _Cat2>
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
   
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _DistanceType __len = std::distance(__first, __last);

      while (__len > 0)
 {
   _DistanceType __half = __len >> 1;
   _ForwardIterator __middle = __first;
   std::advance(__middle, __half);
   if (__comp(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
# 1487 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
   
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

      ;

      return std::__lower_bound(__first, __last, __val,
    __gnu_cxx::__ops::__iter_less_val());
    }



  inline constexpr int
  __lg(int __n)
  { return (int)sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr unsigned
  __lg(unsigned __n)
  { return (int)sizeof(int) * 8 - 1 - __builtin_clz(__n); }

  inline constexpr long
  __lg(long __n)
  { return (int)sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr unsigned long
  __lg(unsigned long __n)
  { return (int)sizeof(long) * 8 - 1 - __builtin_clzl(__n); }

  inline constexpr long long
  __lg(long long __n)
  { return (int)sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }

  inline constexpr unsigned long long
  __lg(unsigned long long __n)
  { return (int)sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }


# 1543 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {

     
     
     


      ;

      return std::__equal_aux(__first1, __last1, __first2);
    }
# 1574 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
   
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return true;
    }



  template<typename _II1, typename _II2>
   
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 != __d2)
     return false;
   return std::equal(__first1, __last1, __first2);
 }

      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!(*__first1 == *__first2))
   return false;
      return __first1 == __last1 && __first2 == __last2;
    }


  template<typename _II1, typename _II2, typename _BinaryPredicate>
   
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2,
      _BinaryPredicate __binary_pred)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
 {
   auto __d1 = std::distance(__first1, __last1);
   auto __d2 = std::distance(__first2, __last2);
   if (__d1 != __d2)
     return false;
   return std::equal(__first1, __last1, __first2,
           __binary_pred);
 }

      for (; __first1 != __last1 && __first2 != __last2;
   ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return __first1 == __last1 && __first2 == __last2;
    }
# 1664 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {

     
     
     


      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2);
    }
# 1697 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
   
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _IIter2 __last2, _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2,
          __binary_pred);
    }
# 1729 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
   
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {





     
     
     
     
      ;
      ;

      return std::__lexicographical_compare_aux(__first1, __last1,
      __first2, __last2);
    }
# 1764 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2, typename _Compare>
   
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2, _Compare __comp)
    {

     
     
      ;
      ;

      return std::__lexicographical_compare_impl
 (__first1, __last1, __first2, __last2,
  __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 1877 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1905 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2)
    {

     
     
     


      ;

      return std::__mismatch(__first1, __last1, __first2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1939 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      return std::__mismatch(__first1, __last1, __first2,
 __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }



  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __first2 != __last2
      && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1988 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2)
    {

     
     
     


      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 2024 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }





  template<typename _InputIterator, typename _Predicate>
   
    inline _InputIterator
    __find_if(_InputIterator __first, _InputIterator __last,
       _Predicate __pred, input_iterator_tag)
    {
      while (__first != __last && !__pred(__first))
 ++__first;
      return __first;
    }


  template<typename _RandomAccessIterator, typename _Predicate>
   
    _RandomAccessIterator
    __find_if(_RandomAccessIterator __first, _RandomAccessIterator __last,
       _Predicate __pred, random_access_iterator_tag)
    {
      typename iterator_traits<_RandomAccessIterator>::difference_type
 __trip_count = (__last - __first) >> 2;

      for (; __trip_count > 0; --__trip_count)
 {
   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;

   if (__pred(__first))
     return __first;
   ++__first;
 }

      switch (__last - __first)
 {
 case 3:
   if (__pred(__first))
     return __first;
   ++__first;

 case 2:
   if (__pred(__first))
     return __first;
   ++__first;

 case 1:
   if (__pred(__first))
     return __first;
   ++__first;

 case 0:
 default:
   return __last;
 }
    }

  template<typename _Iterator, typename _Predicate>
   
    inline _Iterator
    __find_if(_Iterator __first, _Iterator __last, _Predicate __pred)
    {
      return __find_if(__first, __last, __pred,
         std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Predicate>
   
    typename iterator_traits<_InputIterator>::difference_type
    __count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    {
      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      for (; __first != __last; ++__first)
 if (__pred(__first))
   ++__n;
      return __n;
    }


  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
   
    bool
    __is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _BinaryPredicate __pred)
    {


      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!__pred(__first1, __first2))
   break;

      if (__first1 == __last1)
 return true;



      _ForwardIterator2 __last2 = __first2;
      std::advance(__last2, std::distance(__first1, __last1));
      for (_ForwardIterator1 __scan = __first1; __scan != __last1; ++__scan)
 {
   if (__scan != std::__find_if(__first1, __scan,
     __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan)))
     continue;

   auto __matches
     = std::__count_if(__first2, __last2,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan));
   if (0 == __matches ||
       std::__count_if(__scan, __last1,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan))
       != __matches)
     return false;
 }
      return true;
    }
# 2181 "/usr/include/c++/11/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2)
    {

     
     
     


      ;

      return std::__is_permutation(__first1, __last1, __first2,
       __gnu_cxx::__ops::__iter_equal_to_iter());
    }



}
# 46 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/limits" 1 3
# 40 "/usr/include/c++/11/limits" 3
       
# 41 "/usr/include/c++/11/limits" 3
# 158 "/usr/include/c++/11/limits" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  enum float_round_style
  {
    round_indeterminate = -1,
    round_toward_zero = 0,
    round_to_nearest = 1,
    round_toward_infinity = 2,
    round_toward_neg_infinity = 3
  };







  enum float_denorm_style
  {

    denorm_indeterminate = -1,

    denorm_absent = 0,

    denorm_present = 1
  };
# 202 "/usr/include/c++/11/limits" 3
  struct __numeric_limits_base
  {


    static constexpr bool is_specialized = false;




    static constexpr int digits = 0;


    static constexpr int digits10 = 0;




    static constexpr int max_digits10 = 0;



    static constexpr bool is_signed = false;


    static constexpr bool is_integer = false;




    static constexpr bool is_exact = false;



    static constexpr int radix = 0;



    static constexpr int min_exponent = 0;



    static constexpr int min_exponent10 = 0;




    static constexpr int max_exponent = 0;



    static constexpr int max_exponent10 = 0;


    static constexpr bool has_infinity = false;



    static constexpr bool has_quiet_NaN = false;



    static constexpr bool has_signaling_NaN = false;


    static constexpr float_denorm_style has_denorm = denorm_absent;



    static constexpr bool has_denorm_loss = false;



    static constexpr bool is_iec559 = false;




    static constexpr bool is_bounded = false;
# 288 "/usr/include/c++/11/limits" 3
    static constexpr bool is_modulo = false;


    static constexpr bool traps = false;


    static constexpr bool tinyness_before = false;




    static constexpr float_round_style round_style =
          round_toward_zero;
  };
# 311 "/usr/include/c++/11/limits" 3
  template<typename _Tp>
    struct numeric_limits : public __numeric_limits_base
    {


      static constexpr _Tp
      min() noexcept { return _Tp(); }


      static constexpr _Tp
      max() noexcept { return _Tp(); }




      static constexpr _Tp
      lowest() noexcept { return _Tp(); }




      static constexpr _Tp
      epsilon() noexcept { return _Tp(); }


      static constexpr _Tp
      round_error() noexcept { return _Tp(); }


      static constexpr _Tp
      infinity() noexcept { return _Tp(); }



      static constexpr _Tp
      quiet_NaN() noexcept { return _Tp(); }



      static constexpr _Tp
      signaling_NaN() noexcept { return _Tp(); }




      static constexpr _Tp
      denorm_min() noexcept { return _Tp(); }
    };




  template<typename _Tp>
    struct numeric_limits<const _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<volatile _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<const volatile _Tp>
    : public numeric_limits<_Tp> { };
# 383 "/usr/include/c++/11/limits" 3
  template<>
    struct numeric_limits<bool>
    {
      static constexpr bool is_specialized = true;

      static constexpr bool
      min() noexcept { return false; }

      static constexpr bool
      max() noexcept { return true; }


      static constexpr bool
      lowest() noexcept { return min(); }

      static constexpr int digits = 1;
      static constexpr int digits10 = 0;

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr bool
      epsilon() noexcept { return false; }

      static constexpr bool
      round_error() noexcept { return false; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr bool
      infinity() noexcept { return false; }

      static constexpr bool
      quiet_NaN() noexcept { return false; }

      static constexpr bool
      signaling_NaN() noexcept { return false; }

      static constexpr bool
      denorm_min() noexcept { return false; }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;




      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<char>
    {
      static constexpr bool is_specialized = true;

      static constexpr char
      min() noexcept { return (((char)(-1) < 0) ? -(((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0) - 1 : (char)0); }

      static constexpr char
      max() noexcept { return (((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0); }


      static constexpr char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(char) * 8 - ((char)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char) * 8 - ((char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((char)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char
      epsilon() noexcept { return 0; }

      static constexpr char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr
      char infinity() noexcept { return char(); }

      static constexpr char
      quiet_NaN() noexcept { return char(); }

      static constexpr char
      signaling_NaN() noexcept { return char(); }

      static constexpr char
      denorm_min() noexcept { return static_cast<char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<signed char>
    {
      static constexpr bool is_specialized = true;

      static constexpr signed char
      min() noexcept { return -0x7f - 1; }

      static constexpr signed char
      max() noexcept { return 0x7f; }


      static constexpr signed char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(signed char) * 8 - ((signed char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(signed char) * 8 - ((signed char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr signed char
      epsilon() noexcept { return 0; }

      static constexpr signed char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr signed char
      infinity() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      quiet_NaN() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      signaling_NaN() noexcept
      { return static_cast<signed char>(0); }

      static constexpr signed char
      denorm_min() noexcept
      { return static_cast<signed char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned char>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned char
      min() noexcept { return 0; }

      static constexpr unsigned char
      max() noexcept { return 0x7f * 2U + 1; }


      static constexpr unsigned char
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned char
      epsilon() noexcept { return 0; }

      static constexpr unsigned char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned char
      infinity() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      quiet_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      signaling_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      denorm_min() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<wchar_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr wchar_t
      min() noexcept { return (((wchar_t)(-1) < 0) ? -(((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0) - 1 : (wchar_t)0); }

      static constexpr wchar_t
      max() noexcept { return (((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0); }


      static constexpr wchar_t
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((wchar_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr wchar_t
      epsilon() noexcept { return 0; }

      static constexpr wchar_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr wchar_t
      infinity() noexcept { return wchar_t(); }

      static constexpr wchar_t
      quiet_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      signaling_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      denorm_min() noexcept { return wchar_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };
# 796 "/usr/include/c++/11/limits" 3
  template<>
    struct numeric_limits<char16_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char16_t
      min() noexcept { return (((char16_t)(-1) < 0) ? -(((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0) - 1 : (char16_t)0); }

      static constexpr char16_t
      max() noexcept { return (((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0); }

      static constexpr char16_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char16_t) * 8 - ((char16_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char16_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char16_t
      epsilon() noexcept { return 0; }

      static constexpr char16_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char16_t
      infinity() noexcept { return char16_t(); }

      static constexpr char16_t
      quiet_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      signaling_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      denorm_min() noexcept { return char16_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };


  template<>
    struct numeric_limits<char32_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char32_t
      min() noexcept { return (((char32_t)(-1) < 0) ? -(((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0) - 1 : (char32_t)0); }

      static constexpr char32_t
      max() noexcept { return (((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0); }

      static constexpr char32_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char32_t) * 8 - ((char32_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char32_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char32_t
      epsilon() noexcept { return 0; }

      static constexpr char32_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char32_t
      infinity() noexcept { return char32_t(); }

      static constexpr char32_t
      quiet_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      signaling_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      denorm_min() noexcept { return char32_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };



  template<>
    struct numeric_limits<short>
    {
      static constexpr bool is_specialized = true;

      static constexpr short
      min() noexcept { return -0x7fff - 1; }

      static constexpr short
      max() noexcept { return 0x7fff; }


      static constexpr short
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(short) * 8 - ((short)(-1) < 0));
      static constexpr int digits10 = ((sizeof(short) * 8 - ((short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr short
      epsilon() noexcept { return 0; }

      static constexpr short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr short
      infinity() noexcept { return short(); }

      static constexpr short
      quiet_NaN() noexcept { return short(); }

      static constexpr short
      signaling_NaN() noexcept { return short(); }

      static constexpr short
      denorm_min() noexcept { return short(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned short>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned short
      min() noexcept { return 0; }

      static constexpr unsigned short
      max() noexcept { return 0x7fff * 2U + 1; }


      static constexpr unsigned short
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned short
      epsilon() noexcept { return 0; }

      static constexpr unsigned short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned short
      infinity() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      quiet_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      signaling_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      denorm_min() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<int>
    {
      static constexpr bool is_specialized = true;

      static constexpr int
      min() noexcept { return -0x7fffffff - 1; }

      static constexpr int
      max() noexcept { return 0x7fffffff; }


      static constexpr int
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(int) * 8 - ((int)(-1) < 0));
      static constexpr int digits10 = ((sizeof(int) * 8 - ((int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr int
      epsilon() noexcept { return 0; }

      static constexpr int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr int
      infinity() noexcept { return static_cast<int>(0); }

      static constexpr int
      quiet_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      signaling_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      denorm_min() noexcept { return static_cast<int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned int>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned int
      min() noexcept { return 0; }

      static constexpr unsigned int
      max() noexcept { return 0x7fffffff * 2U + 1; }


      static constexpr unsigned int
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned int
      epsilon() noexcept { return 0; }

      static constexpr unsigned int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned int
      infinity() noexcept { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      quiet_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      signaling_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      denorm_min() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long
      min() noexcept { return -0x7fffffffffffffffL - 1; }

      static constexpr long
      max() noexcept { return 0x7fffffffffffffffL; }


      static constexpr long
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(long) * 8 - ((long)(-1) < 0));
      static constexpr int digits10 = ((sizeof(long) * 8 - ((long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long
      epsilon() noexcept { return 0; }

      static constexpr long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long
      infinity() noexcept { return static_cast<long>(0); }

      static constexpr long
      quiet_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      signaling_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      denorm_min() noexcept { return static_cast<long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long
      min() noexcept { return 0; }

      static constexpr unsigned long
      max() noexcept { return 0x7fffffffffffffffL * 2UL + 1; }


      static constexpr unsigned long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long
      infinity() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      quiet_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      signaling_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      denorm_min() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long long
      min() noexcept { return -0x7fffffffffffffffLL - 1; }

      static constexpr long long
      max() noexcept { return 0x7fffffffffffffffLL; }


      static constexpr long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(long long) * 8 - ((long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(long long) * 8 - ((long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long long
      epsilon() noexcept { return 0; }

      static constexpr long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long long
      infinity() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      quiet_NaN() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      signaling_NaN() noexcept
      { return static_cast<long long>(0); }

      static constexpr long long
      denorm_min() noexcept { return static_cast<long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long long
      min() noexcept { return 0; }

      static constexpr unsigned long long
      max() noexcept { return 0x7fffffffffffffffLL * 2ULL + 1; }


      static constexpr unsigned long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long long
      infinity() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      quiet_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      signaling_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      denorm_min() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };
# 1635 "/usr/include/c++/11/limits" 3
  template<> struct numeric_limits<__int128> { static constexpr bool is_specialized = true; static constexpr __int128 min() noexcept { return (((__int128)(-1) < 0) ? -(((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0) - 1 : (__int128)0); } static constexpr __int128 max() noexcept { return (((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0); } static constexpr int digits = 128 - 1; static constexpr int digits10 = (128 - 1) * 643L / 2136; static constexpr bool is_signed = true; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr __int128 epsilon() noexcept { return 0; } static constexpr __int128 round_error() noexcept { return 0; } static constexpr __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr __int128 infinity() noexcept { return static_cast<__int128>(0); } static constexpr __int128 quiet_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 signaling_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 denorm_min() noexcept { return static_cast<__int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = false; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; }; template<> struct numeric_limits<unsigned __int128> { static constexpr bool is_specialized = true; static constexpr unsigned __int128 min() noexcept { return 0; } static constexpr unsigned __int128 max() noexcept { return (((unsigned __int128)(-1) < 0) ? (((((unsigned __int128)1 << ((128 - ((unsigned __int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(unsigned __int128)0); } static constexpr unsigned __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int digits = 128; static constexpr int digits10 = 128 * 643L / 2136; static constexpr bool is_signed = false; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr unsigned __int128 epsilon() noexcept { return 0; } static constexpr unsigned __int128 round_error() noexcept { return 0; } static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr unsigned __int128 infinity() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 quiet_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 signaling_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 denorm_min() noexcept { return static_cast<unsigned __int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = true; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; };
# 1667 "/usr/include/c++/11/limits" 3
  template<>
    struct numeric_limits<float>
    {
      static constexpr bool is_specialized = true;

      static constexpr float
      min() noexcept { return 1.17549435082228750796873653722224568e-38F; }

      static constexpr float
      max() noexcept { return 3.40282346638528859811704183484516925e+38F; }


      static constexpr float
      lowest() noexcept { return -3.40282346638528859811704183484516925e+38F; }


      static constexpr int digits = 24;
      static constexpr int digits10 = 6;

      static constexpr int max_digits10
  = (2 + (24) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr float
      epsilon() noexcept { return 1.19209289550781250000000000000000000e-7F; }

      static constexpr float
      round_error() noexcept { return 0.5F; }

      static constexpr int min_exponent = (-125);
      static constexpr int min_exponent10 = (-37);
      static constexpr int max_exponent = 128;
      static constexpr int max_exponent10 = 38;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
       = false;

      static constexpr float
      infinity() noexcept { return __builtin_huge_valf(); }

      static constexpr float
      quiet_NaN() noexcept { return __builtin_nanf(""); }

      static constexpr float
      signaling_NaN() noexcept { return __builtin_nansf(""); }

      static constexpr float
      denorm_min() noexcept { return 1.40129846432481707092372958328991613e-45F; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<double>
    {
      static constexpr bool is_specialized = true;

      static constexpr double
      min() noexcept { return double(2.22507385850720138309023271733240406e-308L); }

      static constexpr double
      max() noexcept { return double(1.79769313486231570814527423731704357e+308L); }


      static constexpr double
      lowest() noexcept { return -double(1.79769313486231570814527423731704357e+308L); }


      static constexpr int digits = 53;
      static constexpr int digits10 = 15;

      static constexpr int max_digits10
  = (2 + (53) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr double
      epsilon() noexcept { return double(2.22044604925031308084726333618164062e-16L); }

      static constexpr double
      round_error() noexcept { return 0.5; }

      static constexpr int min_exponent = (-1021);
      static constexpr int min_exponent10 = (-307);
      static constexpr int max_exponent = 1024;
      static constexpr int max_exponent10 = 308;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
        = false;

      static constexpr double
      infinity() noexcept { return __builtin_huge_val(); }

      static constexpr double
      quiet_NaN() noexcept { return __builtin_nan(""); }

      static constexpr double
      signaling_NaN() noexcept { return __builtin_nans(""); }

      static constexpr double
      denorm_min() noexcept { return double(4.94065645841246544176568792868221372e-324L); }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<long double>
    {
      static constexpr bool is_specialized = true;

      static constexpr long double
      min() noexcept { return 3.36210314311209350626267781732175260e-4932L; }

      static constexpr long double
      max() noexcept { return 1.18973149535723176502126385303097021e+4932L; }


      static constexpr long double
      lowest() noexcept { return -1.18973149535723176502126385303097021e+4932L; }


      static constexpr int digits = 64;
      static constexpr int digits10 = 18;

      static constexpr int max_digits10
  = (2 + (64) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr long double
      epsilon() noexcept { return 1.08420217248550443400745280086994171e-19L; }

      static constexpr long double
      round_error() noexcept { return 0.5L; }

      static constexpr int min_exponent = (-16381);
      static constexpr int min_exponent10 = (-4931);
      static constexpr int max_exponent = 16384;
      static constexpr int max_exponent10 = 4932;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
 = false;

      static constexpr long double
      infinity() noexcept { return __builtin_huge_vall(); }

      static constexpr long double
      quiet_NaN() noexcept { return __builtin_nanl(""); }

      static constexpr long double
      signaling_NaN() noexcept { return __builtin_nansl(""); }

      static constexpr long double
      denorm_min() noexcept { return 3.64519953188247460252840593361941982e-4951L; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before =
      false;
      static constexpr float_round_style round_style =
            round_to_nearest;
    };






}
# 47 "/usr/include/c++/11/bits/specfun.h" 2 3


# 1 "/usr/include/c++/11/tr1/gamma.tcc" 1 3
# 49 "/usr/include/c++/11/tr1/gamma.tcc" 3
# 1 "/usr/include/c++/11/tr1/special_function_util.h" 1 3
# 39 "/usr/include/c++/11/tr1/special_function_util.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 50 "/usr/include/c++/11/tr1/special_function_util.h" 3
  namespace __detail
  {



    template<typename _Tp>
    struct __floating_point_constant
    {
      static const _Tp __value;
    };



    template<typename _Tp>
      struct __numeric_constants
      {

        static _Tp __pi() throw()
        { return static_cast<_Tp>(3.1415926535897932384626433832795029L); }

        static _Tp __pi_2() throw()
        { return static_cast<_Tp>(1.5707963267948966192313216916397514L); }

        static _Tp __pi_3() throw()
        { return static_cast<_Tp>(1.0471975511965977461542144610931676L); }

        static _Tp __pi_4() throw()
        { return static_cast<_Tp>(0.7853981633974483096156608458198757L); }

        static _Tp __1_pi() throw()
        { return static_cast<_Tp>(0.3183098861837906715377675267450287L); }

        static _Tp __2_sqrtpi() throw()
        { return static_cast<_Tp>(1.1283791670955125738961589031215452L); }

        static _Tp __sqrt2() throw()
        { return static_cast<_Tp>(1.4142135623730950488016887242096981L); }

        static _Tp __sqrt3() throw()
        { return static_cast<_Tp>(1.7320508075688772935274463415058723L); }

        static _Tp __sqrtpio2() throw()
        { return static_cast<_Tp>(1.2533141373155002512078826424055226L); }

        static _Tp __sqrt1_2() throw()
        { return static_cast<_Tp>(0.7071067811865475244008443621048490L); }

        static _Tp __lnpi() throw()
        { return static_cast<_Tp>(1.1447298858494001741434273513530587L); }

        static _Tp __gamma_e() throw()
        { return static_cast<_Tp>(0.5772156649015328606065120900824024L); }

        static _Tp __euler() throw()
        { return static_cast<_Tp>(2.7182818284590452353602874713526625L); }
      };
# 114 "/usr/include/c++/11/tr1/special_function_util.h" 3
    template<typename _Tp>
    inline bool __isnan(_Tp __x)
    { return std::isnan(__x); }
# 133 "/usr/include/c++/11/tr1/special_function_util.h" 3
  }





}
# 50 "/usr/include/c++/11/tr1/gamma.tcc" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/include/c++/11/tr1/gamma.tcc" 3
  namespace __detail
  {
# 76 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template <typename _Tp>
    _Tp
    __bernoulli_series(unsigned int __n)
    {

      static const _Tp __num[28] = {
        _Tp(1UL), -_Tp(1UL) / _Tp(2UL),
        _Tp(1UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(1UL) / _Tp(42UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(5UL) / _Tp(66UL), _Tp(0UL),
        -_Tp(691UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(7UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(3617UL) / _Tp(510UL), _Tp(0UL),
        _Tp(43867UL) / _Tp(798UL), _Tp(0UL),
        -_Tp(174611) / _Tp(330UL), _Tp(0UL),
        _Tp(854513UL) / _Tp(138UL), _Tp(0UL),
        -_Tp(236364091UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(8553103UL) / _Tp(6UL), _Tp(0UL)
      };

      if (__n == 0)
        return _Tp(1);

      if (__n == 1)
        return -_Tp(1) / _Tp(2);


      if (__n % 2 == 1)
        return _Tp(0);


      if (__n < 28)
        return __num[__n];


      _Tp __fact = _Tp(1);
      if ((__n / 2) % 2 == 0)
        __fact *= _Tp(-1);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __fact *= __k / (_Tp(2) * __numeric_constants<_Tp>::__pi());
      __fact *= _Tp(2);

      _Tp __sum = _Tp(0);
      for (unsigned int __i = 1; __i < 1000; ++__i)
        {
          _Tp __term = std::pow(_Tp(__i), -_Tp(__n));
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __fact * __sum;
    }
# 139 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __bernoulli(int __n)
    { return __bernoulli_series<_Tp>(__n); }
# 153 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_bernoulli(_Tp __x)
    {
      _Tp __lg = (__x - _Tp(0.5L)) * std::log(__x) - __x
               + _Tp(0.5L) * std::log(_Tp(2)
               * __numeric_constants<_Tp>::__pi());

      const _Tp __xx = __x * __x;
      _Tp __help = _Tp(1) / __x;
      for ( unsigned int __i = 1; __i < 20; ++__i )
        {
          const _Tp __2i = _Tp(2 * __i);
          __help /= __2i * (__2i - _Tp(1)) * __xx;
          __lg += __bernoulli<_Tp>(2 * __i) * __help;
        }

      return __lg;
    }
# 181 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_lanczos(_Tp __x)
    {
      const _Tp __xm1 = __x - _Tp(1);

      static const _Tp __lanczos_cheb_7[9] = {
       _Tp( 0.99999999999980993227684700473478L),
       _Tp( 676.520368121885098567009190444019L),
       _Tp(-1259.13921672240287047156078755283L),
       _Tp( 771.3234287776530788486528258894L),
       _Tp(-176.61502916214059906584551354L),
       _Tp( 12.507343278686904814458936853L),
       _Tp(-0.13857109526572011689554707L),
       _Tp( 9.984369578019570859563e-6L),
       _Tp( 1.50563273514931155834e-7L)
      };

      static const _Tp __LOGROOT2PI
          = _Tp(0.9189385332046727417803297364056176L);

      _Tp __sum = __lanczos_cheb_7[0];
      for(unsigned int __k = 1; __k < 9; ++__k)
        __sum += __lanczos_cheb_7[__k] / (__xm1 + __k);

      const _Tp __term1 = (__xm1 + _Tp(0.5L))
                        * std::log((__xm1 + _Tp(7.5L))
                       / __numeric_constants<_Tp>::__euler());
      const _Tp __term2 = __LOGROOT2PI + std::log(__sum);
      const _Tp __result = __term1 + (__term2 - _Tp(7));

      return __result;
    }
# 225 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma(_Tp __x)
    {
      if (__x > _Tp(0.5L))
        return __log_gamma_lanczos(__x);
      else
        {
          const _Tp __sin_fact
                 = std::abs(std::sin(__numeric_constants<_Tp>::__pi() * __x));
          if (__sin_fact == _Tp(0))
            std::__throw_domain_error(("Argument is nonpositive integer " "in __log_gamma")
                                                           );
          return __numeric_constants<_Tp>::__lnpi()
                     - std::log(__sin_fact)
                     - __log_gamma_lanczos(_Tp(1) - __x);
        }
    }
# 252 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_sign(_Tp __x)
    {
      if (__x > _Tp(0))
        return _Tp(1);
      else
        {
          const _Tp __sin_fact
                  = std::sin(__numeric_constants<_Tp>::__pi() * __x);
          if (__sin_fact > _Tp(0))
            return (1);
          else if (__sin_fact < _Tp(0))
            return -_Tp(1);
          else
            return _Tp(0);
        }
    }
# 283 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      _Tp __coeff = ::std::lgamma(_Tp(1 + __n))
                  - ::std::lgamma(_Tp(1 + __k))
                  - ::std::lgamma(_Tp(1 + __n - __k));





    }
# 314 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      const _Tp __log_coeff = __log_bincoef<_Tp>(__n, __k);
      if (__log_coeff > __max_bincoeff)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return std::exp(__log_coeff);
    }
# 337 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __gamma(_Tp __x)
    { return std::exp(__log_gamma(__x)); }
# 356 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_series(_Tp __x)
    {
      _Tp __sum = -__numeric_constants<_Tp>::__gamma_e() - _Tp(1) / __x;
      const unsigned int __max_iter = 100000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __x / (__k * (__k + __x));
          __sum += __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
        }
      return __sum;
    }
# 386 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_asymp(_Tp __x)
    {
      _Tp __sum = std::log(__x) - _Tp(0.5L) / __x;
      const _Tp __xx = __x * __x;
      _Tp __xp = __xx;
      const unsigned int __max_iter = 100;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __bernoulli<_Tp>(2 * __k) / (2 * __k * __xp);
          __sum -= __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
          __xp *= __xx;
        }
      return __sum;
    }
# 417 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(_Tp __x)
    {
      const int __n = static_cast<int>(__x + 0.5L);
      const _Tp __eps = _Tp(4) * std::numeric_limits<_Tp>::epsilon();
      if (__n <= 0 && std::abs(__x - _Tp(__n)) < __eps)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x < _Tp(0))
        {
          const _Tp __pi = __numeric_constants<_Tp>::__pi();
          return __psi(_Tp(1) - __x)
               - __pi * std::cos(__pi * __x) / std::sin(__pi * __x);
        }
      else if (__x > _Tp(100))
        return __psi_asymp(__x);
      else
        return __psi_series(__x);
    }
# 446 "/usr/include/c++/11/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(unsigned int __n, _Tp __x)
    {
      if (__x <= _Tp(0))
        std::__throw_domain_error(("Argument out of range " "in __psi")
                                                 );
      else if (__n == 0)
        return __psi(__x);
      else
        {
          const _Tp __hzeta = __hurwitz_zeta(_Tp(__n + 1), __x);

          const _Tp __ln_nfact = ::std::lgamma(_Tp(__n + 1));



          _Tp __result = std::exp(__ln_nfact) * __hzeta;
          if (__n % 2 == 1)
            __result = -__result;
          return __result;
        }
    }
  }






}
# 50 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/bessel_function.tcc" 1 3
# 55 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 71 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
  namespace __detail
  {
# 98 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __gamma_temme(_Tp __mu,
                  _Tp & __gam1, _Tp & __gam2, _Tp & __gampl, _Tp & __gammi)
    {

      __gampl = _Tp(1) / ::std::tgamma(_Tp(1) + __mu);
      __gammi = _Tp(1) / ::std::tgamma(_Tp(1) - __mu);





      if (std::abs(__mu) < std::numeric_limits<_Tp>::epsilon())
        __gam1 = -_Tp(__numeric_constants<_Tp>::__gamma_e());
      else
        __gam1 = (__gammi - __gampl) / (_Tp(2) * __mu);

      __gam2 = (__gammi + __gampl) / (_Tp(2));

      return;
    }
# 136 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __bessel_jn(_Tp __nu, _Tp __x,
                _Tp & __Jnu, _Tp & __Nnu, _Tp & __Jpnu, _Tp & __Npnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Jnu = _Tp(1);
              __Jpnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0.5L);
            }
          else
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0);
            }
          __Nnu = -std::numeric_limits<_Tp>::infinity();
          __Npnu = std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();




      const _Tp __fp_min = std::sqrt(std::numeric_limits<_Tp>::min());
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = (__x < __x_min
                    ? static_cast<int>(__nu + _Tp(0.5L))
                    : std::max(0, static_cast<int>(__nu - __x + _Tp(1.5L))));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __w = __xi2 / __numeric_constants<_Tp>::__pi();
      int __isign = 1;
      _Tp __h = __nu * __xi;
      if (__h < __fp_min)
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for (__i = 1; __i <= __max_iter; ++__i)
        {
          __b += __xi2;
          __d = __b - __d;
          if (std::abs(__d) < __fp_min)
            __d = __fp_min;
          __c = __b - _Tp(1) / __c;
          if (std::abs(__c) < __fp_min)
            __c = __fp_min;
          __d = _Tp(1) / __d;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (__d < _Tp(0))
            __isign = -__isign;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large in __bessel_jn; " "try asymptotic expansion.")
                                                                   );
      _Tp __Jnul = __isign * __fp_min;
      _Tp __Jpnul = __h * __Jnul;
      _Tp __Jnul1 = __Jnul;
      _Tp __Jpnu1 = __Jpnul;
      _Tp __fact = __nu * __xi;
      for ( int __l = __nl; __l >= 1; --__l )
        {
          const _Tp __Jnutemp = __fact * __Jnul + __Jpnul;
          __fact -= __xi;
          __Jpnul = __fact * __Jnutemp - __Jnul;
          __Jnul = __Jnutemp;
        }
      if (__Jnul == _Tp(0))
        __Jnul = __eps;
      _Tp __f= __Jpnul / __Jnul;
      _Tp __Nmu, __Nnu1, __Npmu, __Jmu;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          _Tp __fact = (std::abs(__pimu) < __eps
                      ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          _Tp __fact2 = (std::abs(__e) < __eps
                       ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = (_Tp(2) / __numeric_constants<_Tp>::__pi())
                   * __fact * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          __e = std::exp(__e);
          _Tp __p = __e / (__numeric_constants<_Tp>::__pi() * __gampl);
          _Tp __q = _Tp(1) / (__e * __numeric_constants<_Tp>::__pi() * __gammi);
          const _Tp __pimu2 = __pimu / _Tp(2);
          _Tp __fact3 = (std::abs(__pimu2) < __eps
                       ? _Tp(1) : std::sin(__pimu2) / __pimu2 );
          _Tp __r = __numeric_constants<_Tp>::__pi() * __pimu2 * __fact3 * __fact3;
          _Tp __c = _Tp(1);
          __d = -__x2 * __x2;
          _Tp __sum = __ff + __r * __q;
          _Tp __sum1 = __p;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / _Tp(__i);
              __p /= _Tp(__i) - __mu;
              __q /= _Tp(__i) + __mu;
              const _Tp __del = __c * (__ff + __r * __q);
              __sum += __del;
              const _Tp __del1 = __c * __p - __i * __del;
              __sum1 += __del1;
              if ( std::abs(__del) < __eps * (_Tp(1) + std::abs(__sum)) )
                break;
            }
          if ( __i > __max_iter )
            std::__throw_runtime_error(("Bessel y series failed to converge " "in __bessel_jn.")
                                                             );
          __Nmu = -__sum;
          __Nnu1 = -__sum1 * __xi2;
          __Npmu = __mu * __xi * __Nmu - __Nnu1;
          __Jmu = __w / (__Npmu - __f * __Nmu);
        }
      else
        {
          _Tp __a = _Tp(0.25L) - __mu2;
          _Tp __q = _Tp(1);
          _Tp __p = -__xi / _Tp(2);
          _Tp __br = _Tp(2) * __x;
          _Tp __bi = _Tp(2);
          _Tp __fact = __a * __xi / (__p * __p + __q * __q);
          _Tp __cr = __br + __q * __fact;
          _Tp __ci = __bi + __p * __fact;
          _Tp __den = __br * __br + __bi * __bi;
          _Tp __dr = __br / __den;
          _Tp __di = -__bi / __den;
          _Tp __dlr = __cr * __dr - __ci * __di;
          _Tp __dli = __cr * __di + __ci * __dr;
          _Tp __temp = __p * __dlr - __q * __dli;
          __q = __p * __dli + __q * __dlr;
          __p = __temp;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a += _Tp(2 * (__i - 1));
              __bi += _Tp(2);
              __dr = __a * __dr + __br;
              __di = __a * __di + __bi;
              if (std::abs(__dr) + std::abs(__di) < __fp_min)
                __dr = __fp_min;
              __fact = __a / (__cr * __cr + __ci * __ci);
              __cr = __br + __cr * __fact;
              __ci = __bi - __ci * __fact;
              if (std::abs(__cr) + std::abs(__ci) < __fp_min)
                __cr = __fp_min;
              __den = __dr * __dr + __di * __di;
              __dr /= __den;
              __di /= -__den;
              __dlr = __cr * __dr - __ci * __di;
              __dli = __cr * __di + __ci * __dr;
              __temp = __p * __dlr - __q * __dli;
              __q = __p * __dli + __q * __dlr;
              __p = __temp;
              if (std::abs(__dlr - _Tp(1)) + std::abs(__dli) < __eps)
                break;
          }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Lentz's method failed " "in __bessel_jn.")
                                                             );
          const _Tp __gam = (__p - __f) / __q;
          __Jmu = std::sqrt(__w / ((__p - __f) * __gam + __q));

          __Jmu = ::std::copysign(__Jmu, __Jnul);




          __Nmu = __gam * __Jmu;
          __Npmu = (__p + __q / __gam) * __Nmu;
          __Nnu1 = __mu * __xi * __Nmu - __Npmu;
      }
      __fact = __Jmu / __Jnul;
      __Jnu = __fact * __Jnul1;
      __Jpnu = __fact * __Jpnu1;
      for (__i = 1; __i <= __nl; ++__i)
        {
          const _Tp __Nnutemp = (__mu + __i) * __xi2 * __Nnu1 - __Nmu;
          __Nmu = __Nnu1;
          __Nnu1 = __Nnutemp;
        }
      __Nnu = __Nmu;
      __Npnu = __nu * __xi * __Nmu - __Nnu1;

      return;
    }
# 361 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __cyl_bessel_jn_asymp(_Tp __nu, _Tp __x, _Tp & __Jnu, _Tp & __Nnu)
    {
      const _Tp __mu = _Tp(4) * __nu * __nu;
      const _Tp __8x = _Tp(8) * __x;

      _Tp __P = _Tp(0);
      _Tp __Q = _Tp(0);

      _Tp __k = _Tp(0);
      _Tp __term = _Tp(1);

      int __epsP = 0;
      int __epsQ = 0;

      _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      do
        {
          __term *= (__k == 0
                     ? _Tp(1)
                     : -(__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x));

          __epsP = std::abs(__term) < __eps * std::abs(__P);
          __P += __term;

          __k++;

          __term *= (__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x);
          __epsQ = std::abs(__term) < __eps * std::abs(__Q);
          __Q += __term;

          if (__epsP && __epsQ && __k > (__nu / 2.))
            break;

          __k++;
        }
      while (__k < 1000);

      const _Tp __chi = __x - (__nu + _Tp(0.5L))
                             * __numeric_constants<_Tp>::__pi_2();

      const _Tp __c = std::cos(__chi);
      const _Tp __s = std::sin(__chi);

      const _Tp __coef = std::sqrt(_Tp(2)
                             / (__numeric_constants<_Tp>::__pi() * __x));

      __Jnu = __coef * (__c * __P - __s * __Q);
      __Nnu = __coef * (__s * __P + __c * __Q);

      return;
    }
# 444 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __cyl_bessel_ij_series(_Tp __nu, _Tp __x, _Tp __sgn,
                           unsigned int __max_iter)
    {
      if (__x == _Tp(0))
 return __nu == _Tp(0) ? _Tp(1) : _Tp(0);

      const _Tp __x2 = __x / _Tp(2);
      _Tp __fact = __nu * std::log(__x2);

      __fact -= ::std::lgamma(__nu + _Tp(1));



      __fact = std::exp(__fact);
      const _Tp __xx4 = __sgn * __x2 * __x2;
      _Tp __Jn = _Tp(1);
      _Tp __term = _Tp(1);

      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __xx4 / (_Tp(__i) * (__nu + _Tp(__i)));
          __Jn += __term;
          if (std::abs(__term / __Jn) < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      return __fact * __Jn;
    }
# 490 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_j(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_j.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, -_Tp(1), 200);
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __J_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __J_nu;
        }
    }
# 532 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_neumann_n(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_neumann_n.")
                                                            );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __N_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __N_nu;
        }
    }
# 569 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_jn(unsigned int __n, _Tp __x,
                    _Tp & __j_n, _Tp & __n_n, _Tp & __jp_n, _Tp & __np_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
      __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __j_n = __factor * __J_nu;
      __n_n = __factor * __N_nu;
      __jp_n = __factor * __Jp_nu - __j_n / (_Tp(2) * __x);
      __np_n = __factor * __Np_nu - __n_n / (_Tp(2) * __x);

      return;
    }
# 604 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_bessel(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_bessel.")
                                                         );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        {
          if (__n == 0)
            return _Tp(1);
          else
            return _Tp(0);
        }
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __j_n;
        }
    }
# 642 "/usr/include/c++/11/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_neumann(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_neumann.")
                                                          );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        return -std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __n_n;
        }
    }
  }






}
# 51 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/beta_function.tcc" 1 3
# 49 "/usr/include/c++/11/tr1/beta_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/include/c++/11/tr1/beta_function.tcc" 3
  namespace __detail
  {
# 79 "/usr/include/c++/11/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_gamma(_Tp __x, _Tp __y)
    {

      _Tp __bet;

      if (__x > __y)
        {
          __bet = ::std::tgamma(__x)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__y);
        }
      else
        {
          __bet = ::std::tgamma(__y)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__x);
        }
# 111 "/usr/include/c++/11/tr1/beta_function.tcc" 3
      return __bet;
    }
# 127 "/usr/include/c++/11/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_lgamma(_Tp __x, _Tp __y)
    {

      _Tp __bet = ::std::lgamma(__x)
                + ::std::lgamma(__y)
                - ::std::lgamma(__x + __y);





      __bet = std::exp(__bet);
      return __bet;
    }
# 158 "/usr/include/c++/11/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_product(_Tp __x, _Tp __y)
    {

      _Tp __bet = (__x + __y) / (__x * __y);

      unsigned int __max_iter = 1000000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          _Tp __term = (_Tp(1) + (__x + __y) / __k)
                     / ((_Tp(1) + __x / __k) * (_Tp(1) + __y / __k));
          __bet *= __term;
        }

      return __bet;
    }
# 189 "/usr/include/c++/11/tr1/beta_function.tcc" 3
    template<typename _Tp>
    inline _Tp
    __beta(_Tp __x, _Tp __y)
    {
      if (__isnan(__x) || __isnan(__y))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __beta_lgamma(__x, __y);
    }
  }






}
# 52 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/ell_integral.tcc" 1 3
# 45 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 59 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
  namespace __detail
  {
# 76 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rf(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = _Tp(5) * __min;

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rf.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim)
        std::__throw_domain_error(("Argument too small in __ellint_rf"));
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(24);
          const _Tp __c2 = _Tp(1) / _Tp(10);
          const _Tp __c3 = _Tp(3) / _Tp(44);
          const _Tp __c4 = _Tp(1) / _Tp(14);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps, _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn) / _Tp(3);
              __xndev = 2 - (__mu + __xn) / __mu;
              __yndev = 2 - (__mu + __yn) / __mu;
              __zndev = 2 - (__mu + __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }

          const _Tp __e2 = __xndev * __yndev - __zndev * __zndev;
          const _Tp __e3 = __xndev * __yndev * __zndev;
          const _Tp __s = _Tp(1) + (__c1 * __e2 - __c2 - __c3 * __e3) * __e2
                   + __c4 * __e3;

          return __s / std::sqrt(__mu);
        }
    }
# 153 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk / _Tp(4);
      _Tp __sum = _Tp(1) + __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          __term *= (2 * __i - 1) * __kk / (2 * __i);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __numeric_constants<_Tp>::__pi_2() * __sum;
    }
# 191 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) >= _Tp(1))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __ellint_rf(_Tp(0), _Tp(1) - __k * __k, _Tp(1));
    }
# 219 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_1(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_1."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __s = std::sin(__phi_red);
          const _Tp __c = std::cos(__phi_red);

          const _Tp __F = __s
                        * __ellint_rf(__c * __c,
                                _Tp(1) - __k * __k * __s * __s, _Tp(1));

          if (__n == 0)
            return __F;
          else
            return __F + _Tp(2) * __n * __comp_ellint_1(__k);
        }
    }
# 266 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk;
      _Tp __sum = __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          const _Tp __i2m = 2 * __i - 1;
          const _Tp __i2 = 2 * __i;
          __term *= __i2m * __i2m * __kk / (__i2 * __i2);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term / __i2m;
        }

      return __numeric_constants<_Tp>::__pi_2() * (_Tp(1) - __sum);
    }
# 314 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rd(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));
      const _Tp __max = std::numeric_limits<_Tp>::max();
      const _Tp __lolim = _Tp(2) / std::pow(__max, _Tp(2) / _Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rd.")
                                                        );
      else if (__x + __y < __lolim || __z < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rd.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(6);
          const _Tp __c3 = _Tp(9) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + _Tp(3) * __zn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              _Tp __xnroot = std::sqrt(__xn);
              _Tp __ynroot = std::sqrt(__yn);
              _Tp __znroot = std::sqrt(__zn);
              _Tp __lambda = __xnroot * (__ynroot + __znroot)
                           + __ynroot * __znroot;
              __sigma += __power4 / (__znroot * (__zn + __lambda));
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }

          _Tp __ea = __xndev * __yndev;
          _Tp __eb = __zndev * __zndev;
          _Tp __ec = __ea - __eb;
          _Tp __ed = __ea - _Tp(6) * __eb;
          _Tp __ef = __ed + __ec + __ec;
          _Tp __s1 = __ed * (-__c1 + __c3 * __ed
                                   / _Tp(3) - _Tp(3) * __c4 * __zndev * __ef
                                   / _Tp(2));
          _Tp __s2 = __zndev
                   * (__c2 * __ef
                    + __zndev * (-__c3 * __ec - __zndev * __c4 - __ea));

          return _Tp(3) * __sigma + __power4 * (_Tp(1) + __s1 + __s2)
                                        / (__mu * std::sqrt(__mu));
        }
    }
# 399 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) == 1)
        return _Tp(1);
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_2."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               - __kk * __ellint_rd(_Tp(0), _Tp(1) - __kk, _Tp(1)) / _Tp(3);
        }
    }
# 433 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_2(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_2."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __E = __s
                        * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        - __kk * __sss
                        * __ellint_rd(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        / _Tp(3);

          if (__n == 0)
            return __E;
          else
            return __E + _Tp(2) * __n * __comp_ellint_2(__k);
        }
    }
# 492 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rc(_Tp __x, _Tp __y)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = _Tp(5) * __min;

      if (__x < _Tp(0) || __y < _Tp(0) || __x + __y < __lolim)
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rc.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(7);
          const _Tp __c2 = _Tp(9) / _Tp(22);
          const _Tp __c3 = _Tp(3) / _Tp(10);
          const _Tp __c4 = _Tp(3) / _Tp(8);

          _Tp __xn = __x;
          _Tp __yn = __y;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(30), _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __sn;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + _Tp(2) * __yn) / _Tp(3);
              __sn = (__yn + __mu) / __mu - _Tp(2);
              if (std::abs(__sn) < __errtol)
                break;
              const _Tp __lambda = _Tp(2) * std::sqrt(__xn) * std::sqrt(__yn)
                             + __yn;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
            }

          _Tp __s = __sn * __sn
                  * (__c3 + __sn*(__c1 + __sn * (__c4 + __sn * __c2)));

          return (_Tp(1) + __s) / std::sqrt(__mu);
        }
    }
# 561 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rj(_Tp __x, _Tp __y, _Tp __z, _Tp __p)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = std::pow(_Tp(5) * __min, _Tp(1)/_Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rj.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim || __p < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rj")
                                                       );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(3);
          const _Tp __c3 = _Tp(3) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __pn = __p;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));

          _Tp __mu;
          _Tp __xndev, __yndev, __zndev, __pndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn + _Tp(2) * __pn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              __pndev = (__mu - __pn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              __epsilon = std::max(__epsilon, std::abs(__pndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              const _Tp __alpha1 = __pn * (__xnroot + __ynroot + __znroot)
                                + __xnroot * __ynroot * __znroot;
              const _Tp __alpha2 = __alpha1 * __alpha1;
              const _Tp __beta = __pn * (__pn + __lambda)
                                      * (__pn + __lambda);
              __sigma += __power4 * __ellint_rc(__alpha2, __beta);
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
              __pn = __c0 * (__pn + __lambda);
            }

          _Tp __ea = __xndev * (__yndev + __zndev) + __yndev * __zndev;
          _Tp __eb = __xndev * __yndev * __zndev;
          _Tp __ec = __pndev * __pndev;
          _Tp __e2 = __ea - _Tp(3) * __ec;
          _Tp __e3 = __eb + _Tp(2) * __pndev * (__ea - __ec);
          _Tp __s1 = _Tp(1) + __e2 * (-__c1 + _Tp(3) * __c3 * __e2 / _Tp(4)
                            - _Tp(3) * __c4 * __e3 / _Tp(2));
          _Tp __s2 = __eb * (__c2 / _Tp(2)
                   + __pndev * (-__c3 - __c3 + __pndev * __c4));
          _Tp __s3 = __pndev * __ea * (__c2 - __pndev * __c3)
                   - __c2 * __pndev * __ec;

          return _Tp(3) * __sigma + __power4 * (__s1 + __s2 + __s3)
                                             / (__mu * std::sqrt(__mu));
        }
    }
# 661 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_3(_Tp __k, _Tp __nu)
    {

      if (__isnan(__k) || __isnan(__nu))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__nu == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_3."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               + __nu
               * __ellint_rj(_Tp(0), _Tp(1) - __kk, _Tp(1), _Tp(1) - __nu)
               / _Tp(3);
        }
    }
# 701 "/usr/include/c++/11/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_3(_Tp __k, _Tp __nu, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__nu) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_3."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __Pi = __s
                         * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                         + __nu * __sss
                         * __ellint_rj(__cc, _Tp(1) - __kk * __ss, _Tp(1),
                                       _Tp(1) - __nu * __ss) / _Tp(3);

          if (__n == 0)
            return __Pi;
          else
            return __Pi + _Tp(2) * __n * __comp_ellint_3(__k, __nu);
        }
    }
  }





}
# 53 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/exp_integral.tcc" 1 3
# 50 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 64 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
  namespace __detail
  {
    template<typename _Tp> _Tp __expint_E1(_Tp);
# 81 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_series(_Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(0);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= - __x / __i;
          if (std::abs(__term) < __eps)
            break;
          if (__term >= _Tp(0))
            __esum += __term / __i;
          else
            __osum += __term / __i;
        }

      return - __esum - __osum
             - __numeric_constants<_Tp>::__gamma_e() - std::log(__x);
    }
# 118 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(1);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= - __i / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          if (__term >= _Tp(0))
            __esum += __term;
          else
            __osum += __term;
        }

      return std::exp(- __x) * (__esum + __osum) / __x;
    }
# 155 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_series(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const int __nm1 = __n - 1;
      _Tp __ans = (__nm1 != 0
                ? _Tp(1) / __nm1 : -std::log(__x)
                                   - __numeric_constants<_Tp>::__gamma_e());
      _Tp __fact = _Tp(1);
      for (int __i = 1; __i <= __max_iter; ++__i)
        {
          __fact *= -__x / _Tp(__i);
          _Tp __del;
          if ( __i != __nm1 )
            __del = -__fact / _Tp(__i - __nm1);
          else
            {
              _Tp __psi = -__numeric_constants<_Tp>::gamma_e();
              for (int __ii = 1; __ii <= __nm1; ++__ii)
                __psi += _Tp(1) / _Tp(__ii);
              __del = __fact * (__psi - std::log(__x));
            }
          __ans += __del;
          if (std::abs(__del) < __eps * std::abs(__ans))
            return __ans;
        }
      std::__throw_runtime_error(("Series summation failed " "in __expint_En_series.")
                                                              );
    }
# 201 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_cont_frac(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = std::numeric_limits<_Tp>::min();
      const int __nm1 = __n - 1;
      _Tp __b = __x + _Tp(__n);
      _Tp __c = _Tp(1) / __fp_min;
      _Tp __d = _Tp(1) / __b;
      _Tp __h = __d;
      for ( unsigned int __i = 1; __i <= __max_iter; ++__i )
        {
          _Tp __a = -_Tp(__i * (__nm1 + __i));
          __b += _Tp(2);
          __d = _Tp(1) / (__a * __d + __b);
          __c = __b + __a / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            {
              const _Tp __ans = __h * std::exp(-__x);
              return __ans;
            }
        }
      std::__throw_runtime_error(("Continued fraction failed " "in __expint_En_cont_frac.")
                                                                 );
    }
# 246 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_recursion(unsigned int __n, _Tp __x)
    {
      _Tp __En;
      _Tp __E1 = __expint_E1(__x);
      if (__x < _Tp(__n))
        {

          __En = __E1;
          for (unsigned int __j = 2; __j < __n; ++__j)
            __En = (std::exp(-__x) - __x * __En) / _Tp(__j - 1);
        }
      else
        {

          __En = _Tp(1);
          const int __N = __n + 20;
          _Tp __save = _Tp(0);
          for (int __j = __N; __j > 0; --__j)
            {
              __En = (std::exp(-__x) - __j * __En) / __x;
              if (__j == __n)
                __save = __En;
            }
            _Tp __norm = __En / __E1;
            __En /= __norm;
        }

      return __En;
    }
# 290 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_series(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __x / __i;
          __sum += __term / __i;
          if (__term < std::numeric_limits<_Tp>::epsilon() * __sum)
            break;
        }

      return __numeric_constants<_Tp>::__gamma_e() + __sum + std::log(__x);
    }
# 321 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= __i / __x;
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          if (__term >= __prev)
            break;
          __sum += __term;
        }

      return std::exp(__x) * __sum / __x;
    }
# 354 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_E1(-__x);
      else if (__x < -std::log(std::numeric_limits<_Tp>::epsilon()))
        return __expint_Ei_series(__x);
      else
        return __expint_Ei_asymp(__x);
    }
# 378 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_Ei(-__x);
      else if (__x < _Tp(1))
        return __expint_E1_series(__x);
      else if (__x < _Tp(100))
        return __expint_En_cont_frac(1, __x);
      else
        return __expint_E1_asymp(__x);
    }
# 408 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_asymp(unsigned int __n, _Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= -(__n - __i + 1) / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __x;
    }
# 442 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_large_n(unsigned int __n, _Tp __x)
    {
      const _Tp __xpn = __x + __n;
      const _Tp __xpn2 = __xpn * __xpn;
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= (__n - 2 * (__i - 1) * __x) / __xpn2;
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __xpn;
    }
# 476 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint(unsigned int __n, _Tp __x)
    {

      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n <= 1 && __x == _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __E0 = std::exp(__x) / __x;
          if (__n == 0)
            return __E0;

          _Tp __E1 = __expint_E1(__x);
          if (__n == 1)
            return __E1;

          if (__x == _Tp(0))
            return _Tp(1) / static_cast<_Tp>(__n - 1);

          _Tp __En = __expint_En_recursion(__n, __x);

          return __En;
        }
    }
# 516 "/usr/include/c++/11/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    inline _Tp
    __expint(_Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __expint_Ei(__x);
    }
  }





}
# 54 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/hypergeometric.tcc" 1 3
# 44 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
  namespace __detail
  {
# 83 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_series(_Tp __a, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fac = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fac += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __conf_hyperg_series.")
                                                                  );

      return __Fac;
    }
# 120 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_luke(_Tp __a, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a / __c;
      const _Tp __t1 = (__a + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) / (_Tp(2) * (__c + _Tp(1)));
      _Tp __F = _Tp(1);
      _Tp __prec;

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while(1)
        {
          _Tp __npam1 = _Tp(__n - 1) + __a;
          _Tp __npcm1 = _Tp(__n - 1) + __c;
          _Tp __npam2 = _Tp(__n - 2) + __a;
          _Tp __npcm2 = _Tp(__n - 2) + __c;
          _Tp __tnm1 = _Tp(2 * __n - 1);
          _Tp __tnm3 = _Tp(2 * __n - 3);
          _Tp __tnm5 = _Tp(2 * __n - 5);
          _Tp __F1 = (_Tp(__n - 2) - __a) / (_Tp(2) * __tnm3 * __npcm1);
          _Tp __F2 = (_Tp(__n) + __a) * __npam1
                   / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          _Tp __F3 = -__npam2 * __npam1 * (_Tp(__n - 2) - __a)
                   / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                   * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          _Tp __E = -__npam1 * (_Tp(__n - 1) - __c)
                   / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          _Tp __r = __An / __Bn;

          __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __conf_hyperg_luke.")
                                                                );

      return __F;
    }
# 227 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg(_Tp __a, _Tp __c, _Tp __x)
    {

      const _Tp __c_nint = ::std::nearbyint(__c);



      if (__isnan(__a) || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= 0)
        return std::numeric_limits<_Tp>::infinity();
      else if (__a == _Tp(0))
        return _Tp(1);
      else if (__c == __a)
        return std::exp(__x);
      else if (__x < _Tp(0))
        return __conf_hyperg_luke(__a, __c, __x);
      else
        return __conf_hyperg_series(__a, __c, __x);
    }
# 271 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_series(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fabc = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * (__b + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fabc += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __hyperg_series.")
                                                             );

      return __Fabc;
    }







    template<typename _Tp>
    _Tp
    __hyperg_luke(_Tp __a, _Tp __b, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a * __b / __c;
      const _Tp __t1 = (__a + _Tp(1)) * (__b + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) * (__b + _Tp(2))
                     / (_Tp(2) * (__c + _Tp(1)));

      _Tp __F = _Tp(1);

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while (1)
        {
          const _Tp __npam1 = _Tp(__n - 1) + __a;
          const _Tp __npbm1 = _Tp(__n - 1) + __b;
          const _Tp __npcm1 = _Tp(__n - 1) + __c;
          const _Tp __npam2 = _Tp(__n - 2) + __a;
          const _Tp __npbm2 = _Tp(__n - 2) + __b;
          const _Tp __npcm2 = _Tp(__n - 2) + __c;
          const _Tp __tnm1 = _Tp(2 * __n - 1);
          const _Tp __tnm3 = _Tp(2 * __n - 3);
          const _Tp __tnm5 = _Tp(2 * __n - 5);
          const _Tp __n2 = __n * __n;
          const _Tp __F1 = (_Tp(3) * __n2 + (__a + __b - _Tp(6)) * __n
                         + _Tp(2) - __a * __b - _Tp(2) * (__a + __b))
                         / (_Tp(2) * __tnm3 * __npcm1);
          const _Tp __F2 = -(_Tp(3) * __n2 - (__a + __b + _Tp(6)) * __n
                         + _Tp(2) - __a * __b) * __npam1 * __npbm1
                         / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          const _Tp __F3 = (__npam2 * __npam1 * __npbm2 * __npbm1
                         * (_Tp(__n - 2) - __a) * (_Tp(__n - 2) - __b))
                         / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                         * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          const _Tp __E = -__npam1 * __npbm1 * (_Tp(__n - 1) - __c)
                         / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          const _Tp __r = __An / __Bn;

          const _Tp __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __hyperg_luke.")
                                                           );

      return __F;
    }
# 438 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_reflect(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __d = __c - __a - __b;
      const int __intd = std::floor(__d + _Tp(0.5L));
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __toler = _Tp(1000) * __eps;
      const _Tp __log_max = std::log(std::numeric_limits<_Tp>::max());
      const bool __d_integer = (std::abs(__d - __intd) < __toler);

      if (__d_integer)
        {
          const _Tp __ln_omx = std::log(_Tp(1) - __x);
          const _Tp __ad = std::abs(__d);
          _Tp __F1, __F2;

          _Tp __d1, __d2;
          if (__d >= _Tp(0))
            {
              __d1 = __d;
              __d2 = _Tp(0);
            }
          else
            {
              __d1 = _Tp(0);
              __d2 = __d;
            }

          const _Tp __lng_c = __log_gamma(__c);


          if (__ad < __eps)
            {

              __F1 = _Tp(0);
            }
          else
            {

              bool __ok_d1 = true;
              _Tp __lng_ad, __lng_ad1, __lng_bd1;
              try
                {
                  __lng_ad = __log_gamma(__ad);
                  __lng_ad1 = __log_gamma(__a + __d1);
                  __lng_bd1 = __log_gamma(__b + __d1);
                }
              catch(...)
                {
                  __ok_d1 = false;
                }

              if (__ok_d1)
                {



                  _Tp __sum1 = _Tp(1);
                  _Tp __term = _Tp(1);
                  _Tp __ln_pre1 = __lng_ad + __lng_c + __d2 * __ln_omx
                                - __lng_ad1 - __lng_bd1;



                  for (int __i = 1; __i < __ad; ++__i)
                    {
                      const int __j = __i - 1;
                      __term *= (__a + __d2 + __j) * (__b + __d2 + __j)
                              / (_Tp(1) + __d2 + __j) / __i * (_Tp(1) - __x);
                      __sum1 += __term;
                    }

                  if (__ln_pre1 > __log_max)
                    std::__throw_runtime_error(("Overflow of gamma functions" " in __hyperg_luke.")
                                                                        );
                  else
                    __F1 = std::exp(__ln_pre1) * __sum1;
                }
              else
                {


                  __F1 = _Tp(0);
                }
            }


          bool __ok_d2 = true;
          _Tp __lng_ad2, __lng_bd2;
          try
            {
              __lng_ad2 = __log_gamma(__a + __d2);
              __lng_bd2 = __log_gamma(__b + __d2);
            }
          catch(...)
            {
              __ok_d2 = false;
            }

          if (__ok_d2)
            {


              const int __maxiter = 2000;
              const _Tp __psi_1 = -__numeric_constants<_Tp>::__gamma_e();
              const _Tp __psi_1pd = __psi(_Tp(1) + __ad);
              const _Tp __psi_apd1 = __psi(__a + __d1);
              const _Tp __psi_bpd1 = __psi(__b + __d1);

              _Tp __psi_term = __psi_1 + __psi_1pd - __psi_apd1
                             - __psi_bpd1 - __ln_omx;
              _Tp __fact = _Tp(1);
              _Tp __sum2 = __psi_term;
              _Tp __ln_pre2 = __lng_c + __d1 * __ln_omx
                            - __lng_ad2 - __lng_bd2;


              int __j;
              for (__j = 1; __j < __maxiter; ++__j)
                {


                  const _Tp __term1 = _Tp(1) / _Tp(__j)
                                    + _Tp(1) / (__ad + __j);
                  const _Tp __term2 = _Tp(1) / (__a + __d1 + _Tp(__j - 1))
                                    + _Tp(1) / (__b + __d1 + _Tp(__j - 1));
                  __psi_term += __term1 - __term2;
                  __fact *= (__a + __d1 + _Tp(__j - 1))
                          * (__b + __d1 + _Tp(__j - 1))
                          / ((__ad + __j) * __j) * (_Tp(1) - __x);
                  const _Tp __delta = __fact * __psi_term;
                  __sum2 += __delta;
                  if (std::abs(__delta) < __eps * std::abs(__sum2))
                    break;
                }
              if (__j == __maxiter)
                std::__throw_runtime_error(("Sum F2 failed to converge " "in __hyperg_reflect")
                                                                     );

              if (__sum2 == _Tp(0))
                __F2 = _Tp(0);
              else
                __F2 = std::exp(__ln_pre2) * __sum2;
            }
          else
            {


              __F2 = _Tp(0);
            }

          const _Tp __sgn_2 = (__intd % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __F = __F1 + __sgn_2 * __F2;

          return __F;
        }
      else
        {




          bool __ok1 = true;
          _Tp __sgn_g1ca = _Tp(0), __ln_g1ca = _Tp(0);
          _Tp __sgn_g1cb = _Tp(0), __ln_g1cb = _Tp(0);
          try
            {
              __sgn_g1ca = __log_gamma_sign(__c - __a);
              __ln_g1ca = __log_gamma(__c - __a);
              __sgn_g1cb = __log_gamma_sign(__c - __b);
              __ln_g1cb = __log_gamma(__c - __b);
            }
          catch(...)
            {
              __ok1 = false;
            }

          bool __ok2 = true;
          _Tp __sgn_g2a = _Tp(0), __ln_g2a = _Tp(0);
          _Tp __sgn_g2b = _Tp(0), __ln_g2b = _Tp(0);
          try
            {
              __sgn_g2a = __log_gamma_sign(__a);
              __ln_g2a = __log_gamma(__a);
              __sgn_g2b = __log_gamma_sign(__b);
              __ln_g2b = __log_gamma(__b);
            }
          catch(...)
            {
              __ok2 = false;
            }

          const _Tp __sgn_gc = __log_gamma_sign(__c);
          const _Tp __ln_gc = __log_gamma(__c);
          const _Tp __sgn_gd = __log_gamma_sign(__d);
          const _Tp __ln_gd = __log_gamma(__d);
          const _Tp __sgn_gmd = __log_gamma_sign(-__d);
          const _Tp __ln_gmd = __log_gamma(-__d);

          const _Tp __sgn1 = __sgn_gc * __sgn_gd * __sgn_g1ca * __sgn_g1cb;
          const _Tp __sgn2 = __sgn_gc * __sgn_gmd * __sgn_g2a * __sgn_g2b;

          _Tp __pre1, __pre2;
          if (__ok1 && __ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre1 < __log_max && __ln_pre2 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre2 = std::exp(__ln_pre2);
                  __pre1 *= __sgn1;
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (__ok1 && !__ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              if (__ln_pre1 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre1 *= __sgn1;
                  __pre2 = _Tp(0);
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (!__ok1 && __ok2)
            {
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre2 < __log_max)
                {
                  __pre1 = _Tp(0);
                  __pre2 = std::exp(__ln_pre2);
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else
            {
              __pre1 = _Tp(0);
              __pre2 = _Tp(0);
              std::__throw_runtime_error(("Underflow of gamma functions " "in __hyperg_reflect")
                                                                   );
            }

          const _Tp __F1 = __hyperg_series(__a, __b, _Tp(1) - __d,
                                           _Tp(1) - __x);
          const _Tp __F2 = __hyperg_series(__c - __a, __c - __b, _Tp(1) + __d,
                                           _Tp(1) - __x);

          const _Tp __F = __pre1 * __F1 + __pre2 * __F2;

          return __F;
        }
    }
# 728 "/usr/include/c++/11/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {

      const _Tp __a_nint = ::std::nearbyint(__a);
      const _Tp __b_nint = ::std::nearbyint(__b);
      const _Tp __c_nint = ::std::nearbyint(__c);





      const _Tp __toler = _Tp(1000) * std::numeric_limits<_Tp>::epsilon();
      if (std::abs(__x) >= _Tp(1))
        std::__throw_domain_error(("Argument outside unit circle " "in __hyperg.")
                                                     );
      else if (__isnan(__a) || __isnan(__b)
            || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__c - __b) < __toler || std::abs(__c - __a) < __toler)
        return std::pow(_Tp(1) - __x, __c - __a - __b);
      else if (__a >= _Tp(0) && __b >= _Tp(0) && __c >= _Tp(0)
            && __x >= _Tp(0) && __x < _Tp(0.995L))
        return __hyperg_series(__a, __b, __c, __x);
      else if (std::abs(__a) < _Tp(10) && std::abs(__b) < _Tp(10))
        {


          if (__a < _Tp(0) && std::abs(__a - __a_nint) < __toler)
            return __hyperg_series(__a_nint, __b, __c, __x);
          else if (__b < _Tp(0) && std::abs(__b - __b_nint) < __toler)
            return __hyperg_series(__a, __b_nint, __c, __x);
          else if (__x < -_Tp(0.25L))
            return __hyperg_luke(__a, __b, __c, __x);
          else if (__x < _Tp(0.5L))
            return __hyperg_series(__a, __b, __c, __x);
          else
            if (std::abs(__c) > _Tp(10))
              return __hyperg_series(__a, __b, __c, __x);
            else
              return __hyperg_reflect(__a, __b, __c, __x);
        }
      else
        return __hyperg_luke(__a, __b, __c, __x);
    }
  }






}
# 55 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/legendre_function.tcc" 1 3
# 49 "/usr/include/c++/11/tr1/legendre_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/include/c++/11/tr1/legendre_function.tcc" 3
  namespace __detail
  {
# 80 "/usr/include/c++/11/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_legendre_p(unsigned int __l, _Tp __x)
    {

      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == +_Tp(1))
        return +_Tp(1);
      else if (__x == -_Tp(1))
        return (__l % 2 == 1 ? -_Tp(1) : +_Tp(1));
      else
        {
          _Tp __p_lm2 = _Tp(1);
          if (__l == 0)
            return __p_lm2;

          _Tp __p_lm1 = __x;
          if (__l == 1)
            return __p_lm1;

          _Tp __p_l = 0;
          for (unsigned int __ll = 2; __ll <= __l; ++__ll)
            {


              __p_l = _Tp(2) * __x * __p_lm1 - __p_lm2
                    - (__x * __p_lm1 - __p_lm2) / _Tp(__ll);
              __p_lm2 = __p_lm1;
              __p_lm1 = __p_l;
            }

          return __p_l;
        }
    }
# 136 "/usr/include/c++/11/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __assoc_legendre_p(unsigned int __l, unsigned int __m, _Tp __x,
         _Tp __phase = _Tp(+1))
    {

      if (__m > __l)
        return _Tp(0);
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__m == 0)
        return __poly_legendre_p(__l, __x);
      else
        {
          _Tp __p_mm = _Tp(1);
          if (__m > 0)
            {


              _Tp __root = std::sqrt(_Tp(1) - __x) * std::sqrt(_Tp(1) + __x);
              _Tp __fact = _Tp(1);
              for (unsigned int __i = 1; __i <= __m; ++__i)
                {
                  __p_mm *= __phase * __fact * __root;
                  __fact += _Tp(2);
                }
            }
          if (__l == __m)
            return __p_mm;

          _Tp __p_mp1m = _Tp(2 * __m + 1) * __x * __p_mm;
          if (__l == __m + 1)
            return __p_mp1m;

          _Tp __p_lm2m = __p_mm;
          _Tp __P_lm1m = __p_mp1m;
          _Tp __p_lm = _Tp(0);
          for (unsigned int __j = __m + 2; __j <= __l; ++__j)
            {
              __p_lm = (_Tp(2 * __j - 1) * __x * __P_lm1m
                      - _Tp(__j + __m - 1) * __p_lm2m) / _Tp(__j - __m);
              __p_lm2m = __P_lm1m;
              __P_lm1m = __p_lm;
            }

          return __p_lm;
        }
    }
# 214 "/usr/include/c++/11/tr1/legendre_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      if (__isnan(__theta))
        return std::numeric_limits<_Tp>::quiet_NaN();

      const _Tp __x = std::cos(__theta);

      if (__m > __l)
        return _Tp(0);
      else if (__m == 0)
        {
          _Tp __P = __poly_legendre_p(__l, __x);
          _Tp __fact = std::sqrt(_Tp(2 * __l + 1)
                     / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          __P *= __fact;
          return __P;
        }
      else if (__x == _Tp(1) || __x == -_Tp(1))
        {

          return _Tp(0);
        }
      else
        {





          const _Tp __sgn = ( __m % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __y_mp1m_factor = __x * std::sqrt(_Tp(2 * __m + 3));

          const _Tp __lncirc = ::std::log1p(-__x * __x);





          const _Tp __lnpoch = ::std::lgamma(_Tp(__m + _Tp(0.5L)))
                             - ::std::lgamma(_Tp(__m));




          const _Tp __lnpre_val =
                    -_Tp(0.25L) * __numeric_constants<_Tp>::__lnpi()
                    + _Tp(0.5L) * (__lnpoch + __m * __lncirc);
          const _Tp __sr = std::sqrt((_Tp(2) + _Tp(1) / __m)
                         / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          _Tp __y_mm = __sgn * __sr * std::exp(__lnpre_val);
          _Tp __y_mp1m = __y_mp1m_factor * __y_mm;

          if (__l == __m)
            return __y_mm;
          else if (__l == __m + 1)
            return __y_mp1m;
          else
            {
              _Tp __y_lm = _Tp(0);


              for (unsigned int __ll = __m + 2; __ll <= __l; ++__ll)
                {
                  const _Tp __rat1 = _Tp(__ll - __m) / _Tp(__ll + __m);
                  const _Tp __rat2 = _Tp(__ll - __m - 1) / _Tp(__ll + __m - 1);
                  const _Tp __fact1 = std::sqrt(__rat1 * _Tp(2 * __ll + 1)
                                                       * _Tp(2 * __ll - 1));
                  const _Tp __fact2 = std::sqrt(__rat1 * __rat2 * _Tp(2 * __ll + 1)
                                                                / _Tp(2 * __ll - 3));
                  __y_lm = (__x * __y_mp1m * __fact1
                         - (__ll + __m - 1) * __y_mm * __fact2) / _Tp(__ll - __m);
                  __y_mm = __y_mp1m;
                  __y_mp1m = __y_lm;
                }

              return __y_lm;
            }
        }
    }
  }






}
# 56 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 1 3
# 51 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 3
  namespace __detail
  {
# 83 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __bessel_ik(_Tp __nu, _Tp __x,
                _Tp & __Inu, _Tp & __Knu, _Tp & __Ipnu, _Tp & __Kpnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Inu = _Tp(1);
              __Ipnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0.5L);
            }
          else
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0);
            }
          __Knu = std::numeric_limits<_Tp>::infinity();
          __Kpnu = -std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = _Tp(10) * std::numeric_limits<_Tp>::epsilon();
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = static_cast<int>(__nu + _Tp(0.5L));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __h = __nu * __xi;
      if ( __h < __fp_min )
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for ( __i = 1; __i <= __max_iter; ++__i )
        {
          __b += __xi2;
          __d = _Tp(1) / (__b + __d);
          __c = __b + _Tp(1) / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large " "in __bessel_ik; " "try asymptotic expansion.")

                                                                   );
      _Tp __Inul = __fp_min;
      _Tp __Ipnul = __h * __Inul;
      _Tp __Inul1 = __Inul;
      _Tp __Ipnu1 = __Ipnul;
      _Tp __fact = __nu * __xi;
      for (int __l = __nl; __l >= 1; --__l)
        {
          const _Tp __Inutemp = __fact * __Inul + __Ipnul;
          __fact -= __xi;
          __Ipnul = __fact * __Inutemp + __Inul;
          __Inul = __Inutemp;
        }
      _Tp __f = __Ipnul / __Inul;
      _Tp __Kmu, __Knu1;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          const _Tp __fact = (std::abs(__pimu) < __eps
                            ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          const _Tp __fact2 = (std::abs(__e) < __eps
                            ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = __fact
                   * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          _Tp __sum = __ff;
          __e = std::exp(__e);
          _Tp __p = __e / (_Tp(2) * __gampl);
          _Tp __q = _Tp(1) / (_Tp(2) * __e * __gammi);
          _Tp __c = _Tp(1);
          __d = __x2 * __x2;
          _Tp __sum1 = __p;
          int __i;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / __i;
              __p /= __i - __mu;
              __q /= __i + __mu;
              const _Tp __del = __c * __ff;
              __sum += __del;
              const _Tp __del1 = __c * (__p - __i * __ff);
              __sum1 += __del1;
              if (std::abs(__del) < __eps * std::abs(__sum))
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Bessel k series failed to converge " "in __bessel_ik.")
                                                             );
          __Kmu = __sum;
          __Knu1 = __sum1 * __xi2;
        }
      else
        {
          _Tp __b = _Tp(2) * (_Tp(1) + __x);
          _Tp __d = _Tp(1) / __b;
          _Tp __delh = __d;
          _Tp __h = __delh;
          _Tp __q1 = _Tp(0);
          _Tp __q2 = _Tp(1);
          _Tp __a1 = _Tp(0.25L) - __mu2;
          _Tp __q = __c = __a1;
          _Tp __a = -__a1;
          _Tp __s = _Tp(1) + __q * __delh;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a -= 2 * (__i - 1);
              __c = -__a * __c / __i;
              const _Tp __qnew = (__q1 - __b * __q2) / __a;
              __q1 = __q2;
              __q2 = __qnew;
              __q += __c * __qnew;
              __b += _Tp(2);
              __d = _Tp(1) / (__b + __a * __d);
              __delh = (__b * __d - _Tp(1)) * __delh;
              __h += __delh;
              const _Tp __dels = __q * __delh;
              __s += __dels;
              if ( std::abs(__dels / __s) < __eps )
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Steed's method failed " "in __bessel_ik.")
                                                             );
          __h = __a1 * __h;
          __Kmu = std::sqrt(__numeric_constants<_Tp>::__pi() / (_Tp(2) * __x))
                * std::exp(-__x) / __s;
          __Knu1 = __Kmu * (__mu + __x + _Tp(0.5L) - __h) * __xi;
        }

      _Tp __Kpmu = __mu * __xi * __Kmu - __Knu1;
      _Tp __Inumu = __xi / (__f * __Kmu - __Kpmu);
      __Inu = __Inumu * __Inul1 / __Inul;
      __Ipnu = __Inumu * __Ipnu1 / __Inul;
      for ( __i = 1; __i <= __nl; ++__i )
        {
          const _Tp __Knutemp = (__mu + __i) * __xi2 * __Knu1 + __Kmu;
          __Kmu = __Knu1;
          __Knu1 = __Knutemp;
        }
      __Knu = __Kmu;
      __Kpnu = __nu * __xi * __Kmu - __Knu1;

      return;
    }
# 267 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_i(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_i.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, +_Tp(1), 200);
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __I_nu;
        }
    }
# 303 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_k(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_k.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __K_nu;
        }
    }
# 337 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_ik(unsigned int __n, _Tp __x,
                    _Tp & __i_n, _Tp & __k_n, _Tp & __ip_n, _Tp & __kp_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;
      __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __i_n = __factor * __I_nu;
      __k_n = __factor * __K_nu;
      __ip_n = __factor * __Ip_nu - __i_n / (_Tp(2) * __x);
      __kp_n = __factor * __Kp_nu - __k_n / (_Tp(2) * __x);

      return;
    }
# 373 "/usr/include/c++/11/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __airy(_Tp __x, _Tp & __Ai, _Tp & __Bi, _Tp & __Aip, _Tp & __Bip)
    {
      const _Tp __absx = std::abs(__x);
      const _Tp __rootx = std::sqrt(__absx);
      const _Tp __z = _Tp(2) * __absx * __rootx / _Tp(3);
      const _Tp _S_inf = std::numeric_limits<_Tp>::infinity();

      if (__isnan(__x))
        __Bip = __Aip = __Bi = __Ai = std::numeric_limits<_Tp>::quiet_NaN();
      else if (__z == _S_inf)
        {
   __Aip = __Ai = _Tp(0);
   __Bip = __Bi = _S_inf;
 }
      else if (__z == -_S_inf)
 __Bip = __Aip = __Bi = __Ai = _Tp(0);
      else if (__x > _Tp(0))
        {
          _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;

          __bessel_ik(_Tp(1) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Ai = __rootx * __K_nu
               / (__numeric_constants<_Tp>::__sqrt3()
                * __numeric_constants<_Tp>::__pi());
          __Bi = __rootx * (__K_nu / __numeric_constants<_Tp>::__pi()
                 + _Tp(2) * __I_nu / __numeric_constants<_Tp>::__sqrt3());

          __bessel_ik(_Tp(2) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Aip = -__x * __K_nu
                / (__numeric_constants<_Tp>::__sqrt3()
                 * __numeric_constants<_Tp>::__pi());
          __Bip = __x * (__K_nu / __numeric_constants<_Tp>::__pi()
                      + _Tp(2) * __I_nu
                      / __numeric_constants<_Tp>::__sqrt3());
        }
      else if (__x < _Tp(0))
        {
          _Tp __J_nu, __Jp_nu, __N_nu, __Np_nu;

          __bessel_jn(_Tp(1) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Ai = __rootx * (__J_nu
                    - __N_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);
          __Bi = -__rootx * (__N_nu
                    + __J_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);

          __bessel_jn(_Tp(2) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Aip = __absx * (__N_nu / __numeric_constants<_Tp>::__sqrt3()
                          + __J_nu) / _Tp(2);
          __Bip = __absx * (__J_nu / __numeric_constants<_Tp>::__sqrt3()
                          - __N_nu) / _Tp(2);
        }
      else
        {



          __Ai = _Tp(0.35502805388781723926L);
          __Bi = __Ai * __numeric_constants<_Tp>::__sqrt3();




          __Aip = -_Tp(0.25881940379280679840L);
          __Bip = -__Aip * __numeric_constants<_Tp>::__sqrt3();
        }

      return;
    }
  }





}
# 57 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/poly_hermite.tcc" 1 3
# 42 "/usr/include/c++/11/tr1/poly_hermite.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 56 "/usr/include/c++/11/tr1/poly_hermite.tcc" 3
  namespace __detail
  {
# 72 "/usr/include/c++/11/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_hermite_recursion(unsigned int __n, _Tp __x)
    {

      _Tp __H_0 = 1;
      if (__n == 0)
        return __H_0;


      _Tp __H_1 = 2 * __x;
      if (__n == 1)
        return __H_1;


      _Tp __H_n, __H_nm1, __H_nm2;
      unsigned int __i;
      for (__H_nm2 = __H_0, __H_nm1 = __H_1, __i = 2; __i <= __n; ++__i)
        {
          __H_n = 2 * (__x * __H_nm1 - (__i - 1) * __H_nm2);
          __H_nm2 = __H_nm1;
          __H_nm1 = __H_n;
        }

      return __H_n;
    }
# 114 "/usr/include/c++/11/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    inline _Tp
    __poly_hermite(unsigned int __n, _Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __poly_hermite_recursion(__n, __x);
    }
  }





}
# 58 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 1 3
# 44 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
  namespace __detail
  {
# 75 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_large_n(unsigned __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __a = -_Tp(__n);
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __eta = _Tp(2) * __b - _Tp(4) * __a;
      const _Tp __cos2th = __x / __eta;
      const _Tp __sin2th = _Tp(1) - __cos2th;
      const _Tp __th = std::acos(std::sqrt(__cos2th));
      const _Tp __pre_h = __numeric_constants<_Tp>::__pi_2()
                        * __numeric_constants<_Tp>::__pi_2()
                        * __eta * __eta * __cos2th * __sin2th;


      const _Tp __lg_b = ::std::lgamma(_Tp(__n) + __b);
      const _Tp __lnfact = ::std::lgamma(_Tp(__n + 1));





      _Tp __pre_term1 = _Tp(0.5L) * (_Tp(1) - __b)
                      * std::log(_Tp(0.25L) * __x * __eta);
      _Tp __pre_term2 = _Tp(0.25L) * std::log(__pre_h);
      _Tp __lnpre = __lg_b - __lnfact + _Tp(0.5L) * __x
                      + __pre_term1 - __pre_term2;
      _Tp __ser_term1 = std::sin(__a * __numeric_constants<_Tp>::__pi());
      _Tp __ser_term2 = std::sin(_Tp(0.25L) * __eta
                              * (_Tp(2) * __th
                               - std::sin(_Tp(2) * __th))
                               + __numeric_constants<_Tp>::__pi_4());
      _Tp __ser = __ser_term1 + __ser_term2;

      return std::exp(__lnpre) * __ser;
    }
# 129 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_hyperg(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __mx = -__x;
      const _Tp __tc_sgn = (__x < _Tp(0) ? _Tp(1)
                         : ((__n % 2 == 1) ? -_Tp(1) : _Tp(1)));

      _Tp __tc = _Tp(1);
      const _Tp __ax = std::abs(__x);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __tc *= (__ax / __k);

      _Tp __term = __tc * __tc_sgn;
      _Tp __sum = __term;
      for (int __k = int(__n) - 1; __k >= 0; --__k)
        {
          __term *= ((__b + _Tp(__k)) / _Tp(int(__n) - __k))
                  * _Tp(__k + 1) / __mx;
          __sum += __term;
        }

      return __sum;
    }
# 185 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_recursion(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {

      _Tp __l_0 = _Tp(1);
      if (__n == 0)
        return __l_0;


      _Tp __l_1 = -__x + _Tp(1) + _Tp(__alpha1);
      if (__n == 1)
        return __l_1;


      _Tp __l_n2 = __l_0;
      _Tp __l_n1 = __l_1;
      _Tp __l_n = _Tp(0);
      for (unsigned int __nn = 2; __nn <= __n; ++__nn)
        {
            __l_n = (_Tp(2 * __nn - 1) + _Tp(__alpha1) - __x)
                  * __l_n1 / _Tp(__nn)
                  - (_Tp(__nn - 1) + _Tp(__alpha1)) * __l_n2 / _Tp(__nn);
            __l_n2 = __l_n1;
            __l_n1 = __l_n;
        }

      return __l_n;
    }
# 244 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Negative argument " "in __poly_laguerre.")
                                                            );

      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n == 0)
        return _Tp(1);
      else if (__n == 1)
        return _Tp(1) + _Tp(__alpha1) - __x;
      else if (__x == _Tp(0))
        {
          _Tp __prod = _Tp(__alpha1) + _Tp(1);
          for (unsigned int __k = 2; __k <= __n; ++__k)
            __prod *= (_Tp(__alpha1) + _Tp(__k)) / _Tp(__k);
          return __prod;
        }
      else if (__n > 10000000 && _Tp(__alpha1) > -_Tp(1)
            && __x < _Tp(2) * (_Tp(__alpha1) + _Tp(1)) + _Tp(4 * __n))
        return __poly_laguerre_large_n(__n, __alpha1, __x);
      else if (_Tp(__alpha1) >= _Tp(0)
           || (__x > _Tp(0) && _Tp(__alpha1) < -_Tp(__n + 1)))
        return __poly_laguerre_recursion(__n, __alpha1, __x);
      else
        return __poly_laguerre_hyperg(__n, __alpha1, __x);
    }
# 296 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, __m, __x); }
# 316 "/usr/include/c++/11/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __laguerre(unsigned int __n, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, 0, __x); }
  }






}
# 59 "/usr/include/c++/11/bits/specfun.h" 2 3
# 1 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 1 3
# 47 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 63 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
  namespace __detail
  {
# 78 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_sum(_Tp __s)
    {

      if (__s < _Tp(1))
        std::__throw_domain_error(("Bad argument in zeta sum."));

      const unsigned int max_iter = 10000;
      _Tp __zeta = _Tp(0);
      for (unsigned int __k = 1; __k < max_iter; ++__k)
        {
          _Tp __term = std::pow(static_cast<_Tp>(__k), -__s);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            {
              break;
            }
          __zeta += __term;
        }

      return __zeta;
    }
# 115 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_alt(_Tp __s)
    {
      _Tp __sgn = _Tp(1);
      _Tp __zeta = _Tp(0);
      for (unsigned int __i = 1; __i < 10000000; ++__i)
        {
          _Tp __term = __sgn / std::pow(__i, __s);
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __zeta += __term;
          __sgn *= _Tp(-1);
        }
      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 157 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_glob(_Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);



      if (__s < _Tp(0))
        {

          if (::std::fmod(__s,_Tp(2)) == _Tp(0))
            return _Tp(0);
          else

            {
              _Tp __zeta = __riemann_zeta_glob(_Tp(1) - __s);
              __zeta *= std::pow(_Tp(2)
                     * __numeric_constants<_Tp>::__pi(), __s)
                     * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                     * std::exp(::std::lgamma(_Tp(1) - __s))



                     / __numeric_constants<_Tp>::__pi();
              return __zeta;
            }
        }

      _Tp __num = _Tp(0.5L);
      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(1 + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term *= __num;
          __zeta += __term;
          if (std::abs(__term/__zeta) < __eps)
            break;
          __num *= _Tp(0.5L);
        }

      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 252 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_product(_Tp __s)
    {
      static const _Tp __prime[] = {
        _Tp(2), _Tp(3), _Tp(5), _Tp(7), _Tp(11), _Tp(13), _Tp(17), _Tp(19),
        _Tp(23), _Tp(29), _Tp(31), _Tp(37), _Tp(41), _Tp(43), _Tp(47),
        _Tp(53), _Tp(59), _Tp(61), _Tp(67), _Tp(71), _Tp(73), _Tp(79),
        _Tp(83), _Tp(89), _Tp(97), _Tp(101), _Tp(103), _Tp(107), _Tp(109)
      };
      static const unsigned int __num_primes = sizeof(__prime) / sizeof(_Tp);

      _Tp __zeta = _Tp(1);
      for (unsigned int __i = 0; __i < __num_primes; ++__i)
        {
          const _Tp __fact = _Tp(1) - std::pow(__prime[__i], -__s);
          __zeta *= __fact;
          if (_Tp(1) - __fact < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      __zeta = _Tp(1) / __zeta;

      return __zeta;
    }
# 293 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta(_Tp __s)
    {
      if (__isnan(__s))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__s == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (__s < -_Tp(19))
        {
          _Tp __zeta = __riemann_zeta_product(_Tp(1) - __s);
          __zeta *= std::pow(_Tp(2) * __numeric_constants<_Tp>::__pi(), __s)
                 * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                 * std::exp(::std::lgamma(_Tp(1) - __s))



                 / __numeric_constants<_Tp>::__pi();
          return __zeta;
        }
      else if (__s < _Tp(20))
        {

          bool __glob = true;
          if (__glob)
            return __riemann_zeta_glob(__s);
          else
            {
              if (__s > _Tp(1))
                return __riemann_zeta_sum(__s);
              else
                {
                  _Tp __zeta = std::pow(_Tp(2)
                                * __numeric_constants<_Tp>::__pi(), __s)
                         * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                             * ::std::tgamma(_Tp(1) - __s)



                             * __riemann_zeta_sum(_Tp(1) - __s);
                  return __zeta;
                }
            }
        }
      else
        return __riemann_zeta_product(__s);
    }
# 365 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __hurwitz_zeta_glob(_Tp __a, _Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);

      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(__a + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term /= _Tp(__i + 1);
          if (std::abs(__term / __zeta) < __eps)
            break;
          __zeta += __term;
        }

      __zeta /= __s - _Tp(1);

      return __zeta;
    }
# 430 "/usr/include/c++/11/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    inline _Tp
    __hurwitz_zeta(_Tp __a, _Tp __s)
    { return __hurwitz_zeta_glob(__a, __s); }
  }






}
# 60 "/usr/include/c++/11/bits/specfun.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 205 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
  { return __detail::__assoc_laguerre<float>(__n, __m, __x); }







  inline long double
  assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
  { return __detail::__assoc_laguerre<long double>(__n, __m, __x); }
# 250 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_laguerre<__type>(__n, __m, __x);
    }
# 266 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  assoc_legendref(unsigned int __l, unsigned int __m, float __x)
  { return __detail::__assoc_legendre_p<float>(__l, __m, __x); }






  inline long double
  assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
  { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
# 296 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
    }
# 311 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  betaf(float __a, float __b)
  { return __detail::__beta<float>(__a, __b); }







  inline long double
  betal(long double __a, long double __b)
  { return __detail::__beta<long double>(__a, __b); }
# 341 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpb>
    inline typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type
    beta(_Tpa __a, _Tpb __b)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type __type;
      return __detail::__beta<__type>(__a, __b);
    }
# 357 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  comp_ellint_1f(float __k)
  { return __detail::__comp_ellint_1<float>(__k); }







  inline long double
  comp_ellint_1l(long double __k)
  { return __detail::__comp_ellint_1<long double>(__k); }
# 389 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_1(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_1<__type>(__k);
    }
# 405 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  comp_ellint_2f(float __k)
  { return __detail::__comp_ellint_2<float>(__k); }







  inline long double
  comp_ellint_2l(long double __k)
  { return __detail::__comp_ellint_2<long double>(__k); }
# 436 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_2(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_2<__type>(__k);
    }
# 452 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  comp_ellint_3f(float __k, float __nu)
  { return __detail::__comp_ellint_3<float>(__k, __nu); }







  inline long double
  comp_ellint_3l(long double __k, long double __nu)
  { return __detail::__comp_ellint_3<long double>(__k, __nu); }
# 487 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
    comp_ellint_3(_Tp __k, _Tpn __nu)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
      return __detail::__comp_ellint_3<__type>(__k, __nu);
    }
# 503 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  cyl_bessel_if(float __nu, float __x)
  { return __detail::__cyl_bessel_i<float>(__nu, __x); }







  inline long double
  cyl_bessel_il(long double __nu, long double __x)
  { return __detail::__cyl_bessel_i<long double>(__nu, __x); }
# 533 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_i(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_i<__type>(__nu, __x);
    }
# 549 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  cyl_bessel_jf(float __nu, float __x)
  { return __detail::__cyl_bessel_j<float>(__nu, __x); }







  inline long double
  cyl_bessel_jl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_j<long double>(__nu, __x); }
# 579 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_j(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_j<__type>(__nu, __x);
    }
# 595 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  cyl_bessel_kf(float __nu, float __x)
  { return __detail::__cyl_bessel_k<float>(__nu, __x); }







  inline long double
  cyl_bessel_kl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_k<long double>(__nu, __x); }
# 631 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_k(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_k<__type>(__nu, __x);
    }
# 647 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  cyl_neumannf(float __nu, float __x)
  { return __detail::__cyl_neumann_n<float>(__nu, __x); }







  inline long double
  cyl_neumannl(long double __nu, long double __x)
  { return __detail::__cyl_neumann_n<long double>(__nu, __x); }
# 679 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_neumann(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_neumann_n<__type>(__nu, __x);
    }
# 695 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  ellint_1f(float __k, float __phi)
  { return __detail::__ellint_1<float>(__k, __phi); }







  inline long double
  ellint_1l(long double __k, long double __phi)
  { return __detail::__ellint_1<long double>(__k, __phi); }
# 727 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_1(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_1<__type>(__k, __phi);
    }
# 743 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  ellint_2f(float __k, float __phi)
  { return __detail::__ellint_2<float>(__k, __phi); }







  inline long double
  ellint_2l(long double __k, long double __phi)
  { return __detail::__ellint_2<long double>(__k, __phi); }
# 775 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_2(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_2<__type>(__k, __phi);
    }
# 791 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  ellint_3f(float __k, float __nu, float __phi)
  { return __detail::__ellint_3<float>(__k, __nu, __phi); }







  inline long double
  ellint_3l(long double __k, long double __nu, long double __phi)
  { return __detail::__ellint_3<long double>(__k, __nu, __phi); }
# 828 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn, typename _Tpp>
    inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
    ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
      return __detail::__ellint_3<__type>(__k, __nu, __phi);
    }
# 843 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  expintf(float __x)
  { return __detail::__expint<float>(__x); }







  inline long double
  expintl(long double __x)
  { return __detail::__expint<long double>(__x); }
# 868 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    expint(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__expint<__type>(__x);
    }
# 884 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  hermitef(unsigned int __n, float __x)
  { return __detail::__poly_hermite<float>(__n, __x); }







  inline long double
  hermitel(unsigned int __n, long double __x)
  { return __detail::__poly_hermite<long double>(__n, __x); }
# 916 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    hermite(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_hermite<__type>(__n, __x);
    }
# 932 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  laguerref(unsigned int __n, float __x)
  { return __detail::__laguerre<float>(__n, __x); }







  inline long double
  laguerrel(unsigned int __n, long double __x)
  { return __detail::__laguerre<long double>(__n, __x); }
# 960 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    laguerre(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__laguerre<__type>(__n, __x);
    }
# 976 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  legendref(unsigned int __l, float __x)
  { return __detail::__poly_legendre_p<float>(__l, __x); }







  inline long double
  legendrel(unsigned int __l, long double __x)
  { return __detail::__poly_legendre_p<long double>(__l, __x); }
# 1005 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    legendre(unsigned int __l, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_legendre_p<__type>(__l, __x);
    }
# 1021 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  riemann_zetaf(float __s)
  { return __detail::__riemann_zeta<float>(__s); }







  inline long double
  riemann_zetal(long double __s)
  { return __detail::__riemann_zeta<long double>(__s); }
# 1056 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    riemann_zeta(_Tp __s)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__riemann_zeta<__type>(__s);
    }
# 1072 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  sph_besself(unsigned int __n, float __x)
  { return __detail::__sph_bessel<float>(__n, __x); }







  inline long double
  sph_bessell(unsigned int __n, long double __x)
  { return __detail::__sph_bessel<long double>(__n, __x); }
# 1100 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_bessel(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_bessel<__type>(__n, __x);
    }
# 1116 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  sph_legendref(unsigned int __l, unsigned int __m, float __theta)
  { return __detail::__sph_legendre<float>(__l, __m, __theta); }
# 1127 "/usr/include/c++/11/bits/specfun.h" 3
  inline long double
  sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
  { return __detail::__sph_legendre<long double>(__l, __m, __theta); }
# 1147 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_legendre<__type>(__l, __m, __theta);
    }
# 1163 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  sph_neumannf(unsigned int __n, float __x)
  { return __detail::__sph_neumann<float>(__n, __x); }







  inline long double
  sph_neumannl(unsigned int __n, long double __x)
  { return __detail::__sph_neumann<long double>(__n, __x); }
# 1191 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_neumann(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_neumann<__type>(__n, __x);
    }




}


namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

# 1218 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  airy_aif(float __x)
  {
    float __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Ai;
  }




  inline long double
  airy_ail(long double __x)
  {
    long double __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Ai;
  }




  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    airy_ai(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      __type __Ai, __Bi, __Aip, __Bip;
      std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
      return __Ai;
    }




  inline float
  airy_bif(float __x)
  {
    float __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Bi;
  }




  inline long double
  airy_bil(long double __x)
  {
    long double __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Bi;
  }




  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    airy_bi(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      __type __Ai, __Bi, __Aip, __Bip;
      std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
      return __Bi;
    }
# 1294 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  conf_hypergf(float __a, float __c, float __x)
  { return std::__detail::__conf_hyperg<float>(__a, __c, __x); }
# 1305 "/usr/include/c++/11/bits/specfun.h" 3
  inline long double
  conf_hypergl(long double __a, long double __c, long double __x)
  { return std::__detail::__conf_hyperg<long double>(__a, __c, __x); }
# 1325 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpc, typename _Tp>
    inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
    conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
      return std::__detail::__conf_hyperg<__type>(__a, __c, __x);
    }
# 1342 "/usr/include/c++/11/bits/specfun.h" 3
  inline float
  hypergf(float __a, float __b, float __c, float __x)
  { return std::__detail::__hyperg<float>(__a, __b, __c, __x); }
# 1353 "/usr/include/c++/11/bits/specfun.h" 3
  inline long double
  hypergl(long double __a, long double __b, long double __c, long double __x)
  { return std::__detail::__hyperg<long double>(__a, __b, __c, __x); }
# 1374 "/usr/include/c++/11/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
    inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
    hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>
  ::__type __type;
      return std::__detail::__hyperg<__type>(__a, __b, __c, __x);
    }



}


#pragma GCC visibility pop
# 1936 "/usr/include/c++/11/cmath" 2 3


}
# 37 "/usr/include/c++/11/math.h" 2 3 4

using std::abs;
using std::acos;
using std::asin;
using std::atan;
using std::atan2;
using std::cos;
using std::sin;
using std::tan;
using std::cosh;
using std::sinh;
using std::tanh;
using std::exp;
using std::frexp;
using std::ldexp;
using std::log;
using std::log10;
using std::modf;
using std::pow;
using std::sqrt;
using std::ceil;
using std::fabs;
using std::floor;
using std::fmod;


using std::fpclassify;
using std::isfinite;
using std::isinf;
using std::isnan;
using std::isnormal;
using std::signbit;
using std::isgreater;
using std::isgreaterequal;
using std::isless;
using std::islessequal;
using std::islessgreater;
using std::isunordered;



using std::acosh;
using std::asinh;
using std::atanh;
using std::cbrt;
using std::copysign;
using std::erf;
using std::erfc;
using std::exp2;
using std::expm1;
using std::fdim;
using std::fma;
using std::fmax;
using std::fmin;
using std::hypot;
using std::ilogb;
using std::lgamma;
using std::llrint;
using std::llround;
using std::log1p;
using std::log2;
using std::logb;
using std::lrint;
using std::lround;
using std::nearbyint;
using std::nextafter;
using std::nexttoward;
using std::remainder;
using std::remquo;
using std::rint;
using std::round;
using std::scalbln;
using std::scalbn;
using std::tgamma;
using std::trunc;
# 9072 "/usr/include/crt/math_functions.h" 2 3 4
# 1 "/usr/include/c++/11/stdlib.h" 1 3 4
# 36 "/usr/include/c++/11/stdlib.h" 3 4
# 1 "/usr/include/c++/11/cstdlib" 1 3 4
# 39 "/usr/include/c++/11/cstdlib" 3 4
       
# 40 "/usr/include/c++/11/cstdlib" 3
# 121 "/usr/include/c++/11/cstdlib" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;

  using ::aligned_alloc;

  using ::atexit;


  using ::at_quick_exit;


  using ::atof;
  using ::atoi;
  using ::atol;
  using ::bsearch;
  using ::calloc;
  using ::div;
  using ::exit;
  using ::free;
  using ::getenv;
  using ::labs;
  using ::ldiv;
  using ::malloc;

  using ::mblen;
  using ::mbstowcs;
  using ::mbtowc;

  using ::qsort;


  using ::quick_exit;


  using ::rand;
  using ::realloc;
  using ::srand;
  using ::strtod;
  using ::strtol;
  using ::strtoul;
  using ::system;

  using ::wcstombs;
  using ::wctomb;



  inline ldiv_t
  div(long __i, long __j) { return ldiv(__i, __j); }




}
# 195 "/usr/include/c++/11/cstdlib" 3
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  using ::lldiv_t;





  using ::_Exit;



  using ::llabs;

  inline lldiv_t
  div(long long __n, long long __d)
  { lldiv_t __q; __q.quot = __n / __d; __q.rem = __n % __d; return __q; }

  using ::lldiv;
# 227 "/usr/include/c++/11/cstdlib" 3
  using ::atoll;
  using ::strtoll;
  using ::strtoull;

  using ::strtof;
  using ::strtold;


}

namespace std
{

  using ::__gnu_cxx::lldiv_t;

  using ::__gnu_cxx::_Exit;

  using ::__gnu_cxx::llabs;
  using ::__gnu_cxx::div;
  using ::__gnu_cxx::lldiv;

  using ::__gnu_cxx::atoll;
  using ::__gnu_cxx::strtof;
  using ::__gnu_cxx::strtoll;
  using ::__gnu_cxx::strtoull;
  using ::__gnu_cxx::strtold;
}



}
# 37 "/usr/include/c++/11/stdlib.h" 2 3 4

using std::abort;
using std::atexit;
using std::exit;


  using std::at_quick_exit;


  using std::quick_exit;




using std::div_t;
using std::ldiv_t;

using std::abs;
using std::atof;
using std::atoi;
using std::atol;
using std::bsearch;
using std::calloc;
using std::div;
using std::free;
using std::getenv;
using std::labs;
using std::ldiv;
using std::malloc;

using std::mblen;
using std::mbstowcs;
using std::mbtowc;

using std::qsort;
using std::rand;
using std::realloc;
using std::srand;
using std::strtod;
using std::strtol;
using std::strtoul;
using std::system;

using std::wcstombs;
using std::wctomb;
# 9073 "/usr/include/crt/math_functions.h" 2 3 4


# 1 "/usr/include/c++/11/cmath" 1 3 4
# 39 "/usr/include/c++/11/cmath" 3 4
       
# 40 "/usr/include/c++/11/cmath" 3
# 9076 "/usr/include/crt/math_functions.h" 2 3 4
# 1 "/usr/include/c++/11/cstdlib" 1 3 4
# 39 "/usr/include/c++/11/cstdlib" 3 4
       
# 40 "/usr/include/c++/11/cstdlib" 3
# 9077 "/usr/include/crt/math_functions.h" 2 3 4
# 9146 "/usr/include/crt/math_functions.h" 3 4
namespace std {
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool signbit(float x);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool signbit(double x);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool signbit(long double x);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isfinite(float x);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isfinite(double x);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isfinite(long double x);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isnan(float x);




__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isnan(double x);

__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isnan(long double x);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isinf(float x);




__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isinf(double x);

__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr bool isinf(long double x);
}
# 9322 "/usr/include/crt/math_functions.h" 3 4
namespace std
{
  template<typename T> extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) T __pow_helper(T, int);
  template<typename T> extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) T __cmath_power(T, unsigned int);
}

using std::abs;
using std::fabs;
using std::ceil;
using std::floor;
using std::sqrt;

using std::pow;

using std::log;
using std::log10;
using std::fmod;
using std::modf;
using std::exp;
using std::frexp;
using std::ldexp;
using std::asin;
using std::sin;
using std::sinh;
using std::acos;
using std::cos;
using std::cosh;
using std::atan;
using std::atan2;
using std::tan;
using std::tanh;
# 9723 "/usr/include/crt/math_functions.h" 3 4
namespace std {
# 9732 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) long long int abs(long long int);
# 9742 "/usr/include/crt/math_functions.h" 3 4
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) long int abs(long int);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float abs(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double abs(double);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float fabs(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float ceil(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float floor(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float sqrt(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float pow(float, float);




template<typename _Tp, typename _Up>
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin))
typename __gnu_cxx::__promote_2<_Tp, _Up>::__type pow(_Tp, _Up);







extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float log(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float log10(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float fmod(float, float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float modf(float, float*);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float exp(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float frexp(float, int*);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float ldexp(float, int);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float asin(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float sin(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float sinh(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float acos(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float cos(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float cosh(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float atan(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float atan2(float, float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float tan(float);
extern __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float tanh(float);
# 9859 "/usr/include/crt/math_functions.h" 3 4
}
# 9965 "/usr/include/crt/math_functions.h" 3 4
namespace std {
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float logb(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr int ilogb(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float scalbn(float a, int b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float scalbln(float a, long int b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float exp2(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float expm1(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float log2(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float log1p(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float acosh(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float asinh(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float atanh(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float hypot(float a, float b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float cbrt(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float erf(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float erfc(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float lgamma(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float tgamma(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float copysign(float a, float b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float nextafter(float a, float b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float remainder(float a, float b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float remquo(float a, float b, int *quo);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float round(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr long int lround(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr long long int llround(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float trunc(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float rint(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr long int lrint(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr long long int llrint(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float nearbyint(float a);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float fdim(float a, float b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float fma(float a, float b, float c);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float fmax(float a, float b);
__attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) constexpr float fmin(float a, float b);
}
# 10104 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float exp10(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float rsqrt(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float rcbrt(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float sinpi(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float cospi(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) void sincospi(const float a, float *const sptr, float *const cptr);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) void sincos(const float a, float *const sptr, float *const cptr);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float j0(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float j1(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float jn(const int n, const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float y0(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float y1(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float yn(const int n, const float a);

static inline __attribute__((device)) __attribute__((cudart_builtin)) float cyl_bessel_i0(const float a);

static inline __attribute__((device)) __attribute__((cudart_builtin)) float cyl_bessel_i1(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float erfinv(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float erfcinv(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float normcdfinv(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float normcdf(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float erfcx(const float a);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double copysign(const double a, const float b);

static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double copysign(const float a, const double b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned int min(const unsigned int a, const unsigned int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned int min(const int a, const unsigned int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned int min(const unsigned int a, const int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) long int min(const long int a, const long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long int min(const unsigned long int a, const unsigned long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long int min(const long int a, const unsigned long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long int min(const unsigned long int a, const long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) long long int min(const long long int a, const long long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long long int min(const unsigned long long int a, const unsigned long long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long long int min(const long long int a, const unsigned long long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long long int min(const unsigned long long int a, const long long int b);
# 10245 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float min(const float a, const float b);
# 10256 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double min(const double a, const double b);
# 10266 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double min(const float a, const double b);
# 10276 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double min(const double a, const float b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned int max(const unsigned int a, const unsigned int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned int max(const int a, const unsigned int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned int max(const unsigned int a, const int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) long int max(const long int a, const long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long int max(const unsigned long int a, const unsigned long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long int max(const long int a, const unsigned long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long int max(const unsigned long int a, const long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) long long int max(const long long int a, const long long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long long int max(const unsigned long long int a, const unsigned long long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long long int max(const long long int a, const unsigned long long int b);







static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) unsigned long long int max(const unsigned long long int a, const long long int b);
# 10375 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) float max(const float a, const float b);
# 10386 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double max(const double a, const double b);
# 10396 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double max(const float a, const double b);
# 10406 "/usr/include/crt/math_functions.h" 3 4
static inline __attribute__((host)) __attribute__((device)) __attribute__((cudart_builtin)) double max(const double a, const float b);
# 10417 "/usr/include/crt/math_functions.h" 3 4
extern "C"{
inline __attribute__((device)) void *__nv_aligned_device_malloc(size_t size, size_t align)
{
  __attribute__((device)) void *__nv_aligned_device_malloc_impl(size_t, size_t);
  return __nv_aligned_device_malloc_impl(size, align);
}
}
# 10703 "/usr/include/crt/math_functions.h" 3 4
# 1 "/usr/include/crt/math_functions.hpp" 1 3 4
# 77 "/usr/include/crt/math_functions.hpp" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 78 "/usr/include/crt/math_functions.hpp" 2 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 79 "/usr/include/crt/math_functions.hpp" 2 3 4
# 758 "/usr/include/crt/math_functions.hpp" 3 4
static inline __attribute__((host)) __attribute__((device)) float exp10(const float a)
{
  return exp10f(a);
}

static inline __attribute__((host)) __attribute__((device)) float rsqrt(const float a)
{
  return rsqrtf(a);
}

static inline __attribute__((host)) __attribute__((device)) float rcbrt(const float a)
{
  return rcbrtf(a);
}

static inline __attribute__((host)) __attribute__((device)) float sinpi(const float a)
{
  return sinpif(a);
}

static inline __attribute__((host)) __attribute__((device)) float cospi(const float a)
{
  return cospif(a);
}

static inline __attribute__((host)) __attribute__((device)) void sincospi(const float a, float *const sptr, float *const cptr)
{
  sincospif(a, sptr, cptr);
}

static inline __attribute__((host)) __attribute__((device)) void sincos(const float a, float *const sptr, float *const cptr)
{
  sincosf(a, sptr, cptr);
}

static inline __attribute__((host)) __attribute__((device)) float j0(const float a)
{
  return j0f(a);
}

static inline __attribute__((host)) __attribute__((device)) float j1(const float a)
{
  return j1f(a);
}

static inline __attribute__((host)) __attribute__((device)) float jn(const int n, const float a)
{
  return jnf(n, a);
}

static inline __attribute__((host)) __attribute__((device)) float y0(const float a)
{
  return y0f(a);
}

static inline __attribute__((host)) __attribute__((device)) float y1(const float a)
{
  return y1f(a);
}

static inline __attribute__((host)) __attribute__((device)) float yn(const int n, const float a)
{
  return ynf(n, a);
}

static inline __attribute__((device)) float cyl_bessel_i0(const float a)
{
  return cyl_bessel_i0f(a);
}

static inline __attribute__((device)) float cyl_bessel_i1(const float a)
{
  return cyl_bessel_i1f(a);
}

static inline __attribute__((host)) __attribute__((device)) float erfinv(const float a)
{
  return erfinvf(a);
}

static inline __attribute__((host)) __attribute__((device)) float erfcinv(const float a)
{
  return erfcinvf(a);
}

static inline __attribute__((host)) __attribute__((device)) float normcdfinv(const float a)
{
  return normcdfinvf(a);
}

static inline __attribute__((host)) __attribute__((device)) float normcdf(const float a)
{
  return normcdff(a);
}

static inline __attribute__((host)) __attribute__((device)) float erfcx(const float a)
{
  return erfcxf(a);
}

static inline __attribute__((host)) __attribute__((device)) double copysign(const double a, const float b)
{
  return copysign(a, static_cast<double>(b));
}

static inline __attribute__((host)) __attribute__((device)) double copysign(const float a, const double b)
{
  return copysign(static_cast<double>(a), b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned int min(const unsigned int a, const unsigned int b)
{
  return umin(a, b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned int min(const int a, const unsigned int b)
{
  return umin(static_cast<unsigned int>(a), b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned int min(const unsigned int a, const int b)
{
  return umin(a, static_cast<unsigned int>(b));
}

static inline __attribute__((host)) __attribute__((device)) long int min(const long int a, const long int b)
{
  long int retval;





  if (sizeof(long int) == sizeof(int)) {



    retval = static_cast<long int>(min(static_cast<int>(a), static_cast<int>(b)));
  } else {
    retval = static_cast<long int>(llmin(static_cast<long long int>(a), static_cast<long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) unsigned long int min(const unsigned long int a, const unsigned long int b)
{
  unsigned long int retval;



  if (sizeof(unsigned long int) == sizeof(unsigned int)) {



    retval = static_cast<unsigned long int>(umin(static_cast<unsigned int>(a), static_cast<unsigned int>(b)));
  } else {
    retval = static_cast<unsigned long int>(ullmin(static_cast<unsigned long long int>(a), static_cast<unsigned long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) unsigned long int min(const long int a, const unsigned long int b)
{
  unsigned long int retval;



  if (sizeof(unsigned long int) == sizeof(unsigned int)) {



    retval = static_cast<unsigned long int>(umin(static_cast<unsigned int>(a), static_cast<unsigned int>(b)));
  } else {
    retval = static_cast<unsigned long int>(ullmin(static_cast<unsigned long long int>(a), static_cast<unsigned long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) unsigned long int min(const unsigned long int a, const long int b)
{
  unsigned long int retval;



  if (sizeof(unsigned long int) == sizeof(unsigned int)) {



    retval = static_cast<unsigned long int>(umin(static_cast<unsigned int>(a), static_cast<unsigned int>(b)));
  } else {
    retval = static_cast<unsigned long int>(ullmin(static_cast<unsigned long long int>(a), static_cast<unsigned long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) long long int min(const long long int a, const long long int b)
{
  return llmin(a, b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned long long int min(const unsigned long long int a, const unsigned long long int b)
{
  return ullmin(a, b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned long long int min(const long long int a, const unsigned long long int b)
{
  return ullmin(static_cast<unsigned long long int>(a), b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned long long int min(const unsigned long long int a, const long long int b)
{
  return ullmin(a, static_cast<unsigned long long int>(b));
}

static inline __attribute__((host)) __attribute__((device)) float min(const float a, const float b)
{
  return fminf(a, b);
}

static inline __attribute__((host)) __attribute__((device)) double min(const double a, const double b)
{
  return fmin(a, b);
}

static inline __attribute__((host)) __attribute__((device)) double min(const float a, const double b)
{
  return fmin(static_cast<double>(a), b);
}

static inline __attribute__((host)) __attribute__((device)) double min(const double a, const float b)
{
  return fmin(a, static_cast<double>(b));
}

static inline __attribute__((host)) __attribute__((device)) unsigned int max(const unsigned int a, const unsigned int b)
{
  return umax(a, b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned int max(const int a, const unsigned int b)
{
  return umax(static_cast<unsigned int>(a), b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned int max(const unsigned int a, const int b)
{
  return umax(a, static_cast<unsigned int>(b));
}

static inline __attribute__((host)) __attribute__((device)) long int max(const long int a, const long int b)
{
  long int retval;




  if (sizeof(long int) == sizeof(int)) {



    retval = static_cast<long int>(max(static_cast<int>(a), static_cast<int>(b)));
  } else {
    retval = static_cast<long int>(llmax(static_cast<long long int>(a), static_cast<long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) unsigned long int max(const unsigned long int a, const unsigned long int b)
{
  unsigned long int retval;



  if (sizeof(unsigned long int) == sizeof(unsigned int)) {



    retval = static_cast<unsigned long int>(umax(static_cast<unsigned int>(a), static_cast<unsigned int>(b)));
  } else {
    retval = static_cast<unsigned long int>(ullmax(static_cast<unsigned long long int>(a), static_cast<unsigned long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) unsigned long int max(const long int a, const unsigned long int b)
{
  unsigned long int retval;



  if (sizeof(unsigned long int) == sizeof(unsigned int)) {



    retval = static_cast<unsigned long int>(umax(static_cast<unsigned int>(a), static_cast<unsigned int>(b)));
  } else {
    retval = static_cast<unsigned long int>(ullmax(static_cast<unsigned long long int>(a), static_cast<unsigned long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) unsigned long int max(const unsigned long int a, const long int b)
{
  unsigned long int retval;



  if (sizeof(unsigned long int) == sizeof(unsigned int)) {



    retval = static_cast<unsigned long int>(umax(static_cast<unsigned int>(a), static_cast<unsigned int>(b)));
  } else {
    retval = static_cast<unsigned long int>(ullmax(static_cast<unsigned long long int>(a), static_cast<unsigned long long int>(b)));
  }
  return retval;
}

static inline __attribute__((host)) __attribute__((device)) long long int max(const long long int a, const long long int b)
{
  return llmax(a, b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned long long int max(const unsigned long long int a, const unsigned long long int b)
{
  return ullmax(a, b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned long long int max(const long long int a, const unsigned long long int b)
{
  return ullmax(static_cast<unsigned long long int>(a), b);
}

static inline __attribute__((host)) __attribute__((device)) unsigned long long int max(const unsigned long long int a, const long long int b)
{
  return ullmax(a, static_cast<unsigned long long int>(b));
}

static inline __attribute__((host)) __attribute__((device)) float max(const float a, const float b)
{
  return fmaxf(a, b);
}

static inline __attribute__((host)) __attribute__((device)) double max(const double a, const double b)
{
  return fmax(a, b);
}

static inline __attribute__((host)) __attribute__((device)) double max(const float a, const double b)
{
  return fmax(static_cast<double>(a), b);
}

static inline __attribute__((host)) __attribute__((device)) double max(const double a, const float b)
{
  return fmax(a, static_cast<double>(b));
}
# 1126 "/usr/include/crt/math_functions.hpp" 3 4
inline __attribute__((host)) __attribute__((device)) int min(const int a, const int b)
{
  return (a < b) ? a : b;
}

inline __attribute__((host)) __attribute__((device)) unsigned int umin(const unsigned int a, const unsigned int b)
{
  return (a < b) ? a : b;
}

inline __attribute__((host)) __attribute__((device)) long long int llmin(const long long int a, const long long int b)
{
  return (a < b) ? a : b;
}

inline __attribute__((host)) __attribute__((device)) unsigned long long int ullmin(const unsigned long long int a,
                                                    const unsigned long long int b)
{
  return (a < b) ? a : b;
}

inline __attribute__((host)) __attribute__((device)) int max(const int a, const int b)
{
  return (a > b) ? a : b;
}

inline __attribute__((host)) __attribute__((device)) unsigned int umax(const unsigned int a, const unsigned int b)
{
  return (a > b) ? a : b;
}

inline __attribute__((host)) __attribute__((device)) long long int llmax(const long long int a, const long long int b)
{
  return (a > b) ? a : b;
}

inline __attribute__((host)) __attribute__((device)) unsigned long long int ullmax(const unsigned long long int a,
                                                    const unsigned long long int b)
{
  return (a > b) ? a : b;
}
# 10704 "/usr/include/crt/math_functions.h" 2 3 4
# 304 "/usr/include/crt/common_functions.h" 2 3 4
# 116 "/usr/include/cuda_runtime.h" 2 3 4
# 1 "/usr/include/cuda_surface_types.h" 1 3 4
# 74 "/usr/include/cuda_surface_types.h" 3 4
template<class T, int dim = 1>
struct __attribute__((device_builtin_surface_type)) surface : public surfaceReference
{

  __attribute__((host)) surface(void)
  {
    channelDesc = cudaCreateChannelDesc<T>();
  }

  __attribute__((host)) surface(struct cudaChannelFormatDesc desc)
  {
    channelDesc = desc;
  }

};

template<int dim>
struct __attribute__((device_builtin_surface_type)) surface<void, dim> : public surfaceReference
{

  __attribute__((host)) surface(void)
  {
    channelDesc = cudaCreateChannelDesc<void>();
  }

};
# 117 "/usr/include/cuda_runtime.h" 2 3 4
# 1 "/usr/include/cuda_texture_types.h" 1 3 4
# 74 "/usr/include/cuda_texture_types.h" 3 4
template<class T, int texType = 0x01, enum cudaTextureReadMode mode = cudaReadModeElementType>
struct __attribute__((device_builtin_texture_type)) texture : public textureReference
{

  __attribute__((host)) texture(int norm = 0,
                   enum cudaTextureFilterMode fMode = cudaFilterModePoint,
                   enum cudaTextureAddressMode aMode = cudaAddressModeClamp)
  {
    normalized = norm;
    filterMode = fMode;
    addressMode[0] = aMode;
    addressMode[1] = aMode;
    addressMode[2] = aMode;
    channelDesc = cudaCreateChannelDesc<T>();
    sRGB = 0;
  }

  __attribute__((host)) texture(int norm,
                   enum cudaTextureFilterMode fMode,
                   enum cudaTextureAddressMode aMode,
                   struct cudaChannelFormatDesc desc)
  {
    normalized = norm;
    filterMode = fMode;
    addressMode[0] = aMode;
    addressMode[1] = aMode;
    addressMode[2] = aMode;
    channelDesc = desc;
    sRGB = 0;
  }

};
# 118 "/usr/include/cuda_runtime.h" 2 3 4
# 1 "/usr/include/crt/device_functions.h" 1 3 4
# 79 "/usr/include/crt/device_functions.h" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 80 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/device_types.h" 1 3 4
# 81 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 82 "/usr/include/crt/device_functions.h" 2 3 4







extern "C"
{
# 100 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __mulhi(int x, int y);
# 110 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __umulhi(unsigned int x, unsigned int y);
# 120 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) long long int __mul64hi(long long int x, long long int y);
# 130 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned long long int __umul64hi(unsigned long long int x, unsigned long long int y);
# 139 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __int_as_float(int x);
# 148 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __float_as_int(float x);
# 157 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __uint_as_float(unsigned int x);
# 166 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __float_as_uint(float x);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) void __syncthreads(void);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) void __prof_trigger(int);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) void __threadfence(void);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) void __threadfence_block(void);
__attribute__((device)) __attribute__((cudart_builtin))

__attribute__((__noreturn__))



__attribute__((device_builtin)) void __trap(void);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) void __brkpt();
# 201 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __saturatef(float x);
# 270 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __sad(int x, int y, unsigned int z);
# 338 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __usad(unsigned int x, unsigned int y, unsigned int z);
# 348 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __mul24(int x, int y);
# 358 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __umul24(unsigned int x, unsigned int y);
# 371 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float fdividef(float x, float y);
# 444 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fdividef(float x, float y);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) double fdivide(double x, double y);
# 457 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __sinf(float x) noexcept (true);
# 468 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __cosf(float x) noexcept (true);
# 481 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __tanf(float x) noexcept (true);
# 496 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) void __sincosf(float x, float *sptr, float *cptr) noexcept (true);
# 545 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __expf(float x) noexcept (true);
# 576 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __exp10f(float x) noexcept (true);
# 601 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __log2f(float x) noexcept (true);
# 628 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __log10f(float x) noexcept (true);
# 671 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __logf(float x) noexcept (true);
# 713 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) __attribute__((cudart_builtin)) float __powf(float x, float y) noexcept (true);
# 722 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __float2int_rn(float x);
# 731 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __float2int_rz(float x);
# 740 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __float2int_ru(float);
# 749 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __float2int_rd(float x);
# 758 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __float2uint_rn(float x);
# 767 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __float2uint_rz(float x);
# 776 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __float2uint_ru(float x);
# 785 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __float2uint_rd(float x);
# 794 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __int2float_rn(int x);
# 803 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __int2float_rz(int x);
# 812 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __int2float_ru(int x);
# 821 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __int2float_rd(int x);
# 830 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __uint2float_rn(unsigned int x);
# 839 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __uint2float_rz(unsigned int x);
# 848 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __uint2float_ru(unsigned int x);
# 857 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __uint2float_rd(unsigned int x);
# 866 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) long long int __float2ll_rn(float x);
# 875 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) long long int __float2ll_rz(float x);
# 884 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) long long int __float2ll_ru(float x);
# 893 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) long long int __float2ll_rd(float x);
# 902 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned long long int __float2ull_rn(float x);
# 911 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned long long int __float2ull_rz(float x);
# 920 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned long long int __float2ull_ru(float x);
# 929 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned long long int __float2ull_rd(float x);
# 938 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ll2float_rn(long long int x);
# 947 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ll2float_rz(long long int x);
# 956 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ll2float_ru(long long int x);
# 965 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ll2float_rd(long long int x);
# 974 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ull2float_rn(unsigned long long int x);
# 983 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ull2float_rz(unsigned long long int x);
# 992 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ull2float_ru(unsigned long long int x);
# 1001 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __ull2float_rd(unsigned long long int x);
# 1013 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fadd_rn(float x, float y);
# 1025 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fadd_rz(float x, float y);
# 1037 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fadd_ru(float x, float y);
# 1049 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fadd_rd(float x, float y);
# 1061 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsub_rn(float x, float y);
# 1073 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsub_rz(float x, float y);
# 1085 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsub_ru(float x, float y);
# 1097 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsub_rd(float x, float y);
# 1109 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmul_rn(float x, float y);
# 1121 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmul_rz(float x, float y);
# 1133 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmul_ru(float x, float y);
# 1145 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmul_rd(float x, float y);
# 1298 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmaf_rn(float x, float y, float z);
# 1451 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmaf_rz(float x, float y, float z);
# 1604 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmaf_ru(float x, float y, float z);
# 1757 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fmaf_rd(float x, float y, float z);
# 1790 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __frcp_rn(float x);
# 1823 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __frcp_rz(float x);
# 1856 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __frcp_ru(float x);
# 1889 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __frcp_rd(float x);
# 1920 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsqrt_rn(float x);
# 1951 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsqrt_rz(float x);
# 1982 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsqrt_ru(float x);
# 2013 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fsqrt_rd(float x);
# 2052 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __frsqrt_rn(float x);
# 2063 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fdiv_rn(float x, float y);
# 2074 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fdiv_rz(float x, float y);
# 2085 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fdiv_ru(float x, float y);
# 2096 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) float __fdiv_rd(float x, float y);
# 2105 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __clz(int x);
# 2116 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __ffs(int x);
# 2125 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __popc(unsigned int x);
# 2134 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __brev(unsigned int x);
# 2143 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __clzll(long long int x);
# 2154 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __ffsll(long long int x);
# 2165 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __popcll(unsigned long long int x);
# 2174 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned long long int __brevll(unsigned long long int x);
# 2198 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __byte_perm(unsigned int x, unsigned int y, unsigned int s);
# 2210 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __hadd(int x, int y);
# 2223 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __rhadd(int x, int y);
# 2235 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __uhadd(unsigned int x, unsigned int y);
# 2248 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __urhadd(unsigned int x, unsigned int y);
# 2258 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) int __double2int_rz(double x);
# 2267 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __double2uint_rz(double x);
# 2276 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) long long int __double2ll_rz(double x);
# 2285 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned long long int __double2ull_rz(double x);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __pm0(void);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __pm1(void);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __pm2(void);
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __pm3(void);
# 2315 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabs2(unsigned int a);
# 2326 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabsss2(unsigned int a);
# 2337 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vadd2(unsigned int a, unsigned int b);
# 2348 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vaddss2 (unsigned int a, unsigned int b);
# 2358 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vaddus2 (unsigned int a, unsigned int b);
# 2369 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vavgs2(unsigned int a, unsigned int b);
# 2380 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vavgu2(unsigned int a, unsigned int b);
# 2391 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vhaddu2(unsigned int a, unsigned int b);
# 2402 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpeq2(unsigned int a, unsigned int b);
# 2413 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpges2(unsigned int a, unsigned int b);
# 2424 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpgeu2(unsigned int a, unsigned int b);
# 2435 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpgts2(unsigned int a, unsigned int b);
# 2446 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpgtu2(unsigned int a, unsigned int b);
# 2457 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmples2(unsigned int a, unsigned int b);
# 2469 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpleu2(unsigned int a, unsigned int b);
# 2480 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmplts2(unsigned int a, unsigned int b);
# 2491 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpltu2(unsigned int a, unsigned int b);
# 2502 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpne2(unsigned int a, unsigned int b);
# 2513 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabsdiffu2(unsigned int a, unsigned int b);
# 2524 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vmaxs2(unsigned int a, unsigned int b);
# 2535 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vmaxu2(unsigned int a, unsigned int b);
# 2546 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vmins2(unsigned int a, unsigned int b);
# 2557 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vminu2(unsigned int a, unsigned int b);
# 2568 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vseteq2(unsigned int a, unsigned int b);
# 2579 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetges2(unsigned int a, unsigned int b);
# 2590 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetgeu2(unsigned int a, unsigned int b);
# 2601 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetgts2(unsigned int a, unsigned int b);
# 2612 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetgtu2(unsigned int a, unsigned int b);
# 2623 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetles2(unsigned int a, unsigned int b);
# 2634 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetleu2(unsigned int a, unsigned int b);
# 2645 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetlts2(unsigned int a, unsigned int b);
# 2656 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetltu2(unsigned int a, unsigned int b);
# 2667 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetne2(unsigned int a, unsigned int b);
# 2678 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsadu2(unsigned int a, unsigned int b);
# 2689 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsub2(unsigned int a, unsigned int b);
# 2700 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsubss2 (unsigned int a, unsigned int b);
# 2711 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsubus2 (unsigned int a, unsigned int b);
# 2721 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vneg2(unsigned int a);
# 2731 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vnegss2(unsigned int a);
# 2742 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabsdiffs2(unsigned int a, unsigned int b);
# 2753 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsads2(unsigned int a, unsigned int b);
# 2763 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabs4(unsigned int a);
# 2774 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabsss4(unsigned int a);
# 2785 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vadd4(unsigned int a, unsigned int b);
# 2796 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vaddss4 (unsigned int a, unsigned int b);
# 2806 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vaddus4 (unsigned int a, unsigned int b);
# 2817 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vavgs4(unsigned int a, unsigned int b);
# 2828 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vavgu4(unsigned int a, unsigned int b);
# 2839 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vhaddu4(unsigned int a, unsigned int b);
# 2850 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpeq4(unsigned int a, unsigned int b);
# 2861 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpges4(unsigned int a, unsigned int b);
# 2872 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpgeu4(unsigned int a, unsigned int b);
# 2883 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpgts4(unsigned int a, unsigned int b);
# 2894 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpgtu4(unsigned int a, unsigned int b);
# 2905 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmples4(unsigned int a, unsigned int b);
# 2916 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpleu4(unsigned int a, unsigned int b);
# 2927 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmplts4(unsigned int a, unsigned int b);
# 2938 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpltu4(unsigned int a, unsigned int b);
# 2949 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vcmpne4(unsigned int a, unsigned int b);
# 2960 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabsdiffu4(unsigned int a, unsigned int b);
# 2971 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vmaxs4(unsigned int a, unsigned int b);
# 2982 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vmaxu4(unsigned int a, unsigned int b);
# 2993 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vmins4(unsigned int a, unsigned int b);
# 3004 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vminu4(unsigned int a, unsigned int b);
# 3015 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vseteq4(unsigned int a, unsigned int b);
# 3026 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetles4(unsigned int a, unsigned int b);
# 3037 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetleu4(unsigned int a, unsigned int b);
# 3048 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetlts4(unsigned int a, unsigned int b);
# 3059 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetltu4(unsigned int a, unsigned int b);
# 3070 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetges4(unsigned int a, unsigned int b);
# 3081 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetgeu4(unsigned int a, unsigned int b);
# 3092 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetgts4(unsigned int a, unsigned int b);
# 3103 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetgtu4(unsigned int a, unsigned int b);
# 3114 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsetne4(unsigned int a, unsigned int b);
# 3125 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsadu4(unsigned int a, unsigned int b);
# 3136 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsub4(unsigned int a, unsigned int b);
# 3147 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsubss4(unsigned int a, unsigned int b);
# 3158 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsubus4(unsigned int a, unsigned int b);
# 3168 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vneg4(unsigned int a);
# 3178 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vnegss4(unsigned int a);
# 3189 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vabsdiffs4(unsigned int a, unsigned int b);
# 3200 "/usr/include/crt/device_functions.h" 3 4
__attribute__((device)) __attribute__((cudart_builtin)) __attribute__((device_builtin)) unsigned int __vsads4(unsigned int a, unsigned int b);






}
# 3229 "/usr/include/crt/device_functions.h" 3 4
static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mulhi" "() is deprecated in favor of __" "mulhi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int mulhi(const int a, const int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mulhi" "() is deprecated in favor of __" "mulhi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int mulhi(const unsigned int a, const unsigned int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mulhi" "() is deprecated in favor of __" "mulhi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int mulhi(const int a, const unsigned int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mulhi" "() is deprecated in favor of __" "mulhi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int mulhi(const unsigned int a, const int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mul64hi" "() is deprecated in favor of __" "mul64hi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long long int mul64hi(const long long int a, const long long int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mul64hi" "() is deprecated in favor of __" "mul64hi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long long int mul64hi(const unsigned long long int a, const unsigned long long int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mul64hi" "() is deprecated in favor of __" "mul64hi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long long int mul64hi(const long long int a, const unsigned long long int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mul64hi" "() is deprecated in favor of __" "mul64hi" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long long int mul64hi(const unsigned long long int a, const long long int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("float_as_int" "() is deprecated in favor of __" "float_as_int" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int float_as_int(const float a);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("int_as_float" "() is deprecated in favor of __" "int_as_float" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float int_as_float(const int a);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("float_as_uint" "() is deprecated in favor of __" "float_as_uint" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int float_as_uint(const float a);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("uint_as_float" "() is deprecated in favor of __" "uint_as_float" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float uint_as_float(const unsigned int a);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("saturate" "() is deprecated in favor of __" "saturate" "f" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float saturate(const float a);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("mul24" "() is deprecated in favor of __" "mul24" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int mul24(const int a, const int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("umul24" "() is deprecated in favor of __" "umul24" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int umul24(const unsigned int a, const unsigned int b);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("float2int" "() is deprecated in favor of __" "float2int" "_ru|_rd|_rn|_rz" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int float2int(const float a, const enum cudaRoundMode mode = cudaRoundZero);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("float2uint" "() is deprecated in favor of __" "float2uint" "_ru|_rd|_rn|_rz" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int float2uint(const float a, const enum cudaRoundMode mode = cudaRoundZero);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("int2float" "() is deprecated in favor of __" "int2float" "_ru|_rd|_rn|_rz" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float int2float(const int a, const enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) __attribute__((cudart_builtin)) __attribute__((deprecated("uint2float" "() is deprecated in favor of __" "uint2float" "_ru|_rd|_rn|_rz" "() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float uint2float(const unsigned int a, const enum cudaRoundMode mode = cudaRoundNearest);
# 3285 "/usr/include/crt/device_functions.h" 3 4
# 1 "/usr/include/crt/device_functions.hpp" 1 3 4
# 79 "/usr/include/crt/device_functions.hpp" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 80 "/usr/include/crt/device_functions.hpp" 2 3 4

# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 82 "/usr/include/crt/device_functions.hpp" 2 3 4
# 90 "/usr/include/crt/device_functions.hpp" 3 4
static __inline__ __attribute__((device)) int mulhi(const int a, const int b)
{
  return __mulhi(a, b);
}

static __inline__ __attribute__((device)) unsigned int mulhi(const unsigned int a, const unsigned int b)
{
  return __umulhi(a, b);
}

static __inline__ __attribute__((device)) unsigned int mulhi(const int a, const unsigned int b)
{
  return __umulhi(static_cast<unsigned int>(a), b);
}

static __inline__ __attribute__((device)) unsigned int mulhi(const unsigned int a, const int b)
{
  return __umulhi(a, static_cast<unsigned int>(b));
}

static __inline__ __attribute__((device)) long long int mul64hi(const long long int a, const long long int b)
{
  return __mul64hi(a, b);
}

static __inline__ __attribute__((device)) unsigned long long int mul64hi(const unsigned long long int a, const unsigned long long int b)
{
  return __umul64hi(a, b);
}

static __inline__ __attribute__((device)) unsigned long long int mul64hi(const long long int a, const unsigned long long int b)
{
  return __umul64hi(static_cast<unsigned long long int>(a), b);
}

static __inline__ __attribute__((device)) unsigned long long int mul64hi(const unsigned long long int a, const long long int b)
{
  return __umul64hi(a, static_cast<unsigned long long int>(b));
}

static __inline__ __attribute__((device)) int float_as_int(const float a)
{
  return __float_as_int(a);
}

static __inline__ __attribute__((device)) float int_as_float(const int a)
{
  return __int_as_float(a);
}

static __inline__ __attribute__((device)) unsigned int float_as_uint(const float a)
{
  return __float_as_uint(a);
}

static __inline__ __attribute__((device)) float uint_as_float(const unsigned int a)
{
  return __uint_as_float(a);
}
static __inline__ __attribute__((device)) float saturate(const float a)
{
  return __saturatef(a);
}

static __inline__ __attribute__((device)) int mul24(const int a, const int b)
{
  return __mul24(a, b);
}

static __inline__ __attribute__((device)) unsigned int umul24(const unsigned int a, const unsigned int b)
{
  return __umul24(a, b);
}

static __inline__ __attribute__((device)) int float2int(const float a, const enum cudaRoundMode mode)
{
  return (mode == cudaRoundNearest) ? __float2int_rn(a) :
         (mode == cudaRoundPosInf ) ? __float2int_ru(a) :
         (mode == cudaRoundMinInf ) ? __float2int_rd(a) :
                                      __float2int_rz(a);
}

static __inline__ __attribute__((device)) unsigned int float2uint(const float a, const enum cudaRoundMode mode)
{
  return (mode == cudaRoundNearest) ? __float2uint_rn(a) :
         (mode == cudaRoundPosInf ) ? __float2uint_ru(a) :
         (mode == cudaRoundMinInf ) ? __float2uint_rd(a) :
                                      __float2uint_rz(a);
}

static __inline__ __attribute__((device)) float int2float(const int a, const enum cudaRoundMode mode)
{
  return (mode == cudaRoundZero ) ? __int2float_rz(a) :
         (mode == cudaRoundPosInf) ? __int2float_ru(a) :
         (mode == cudaRoundMinInf) ? __int2float_rd(a) :
                                     __int2float_rn(a);
}

static __inline__ __attribute__((device)) float uint2float(const unsigned int a, const enum cudaRoundMode mode)
{
  return (mode == cudaRoundZero ) ? __uint2float_rz(a) :
         (mode == cudaRoundPosInf) ? __uint2float_ru(a) :
         (mode == cudaRoundMinInf) ? __uint2float_rd(a) :
                                     __uint2float_rn(a);
}
# 3286 "/usr/include/crt/device_functions.h" 2 3 4


# 1 "/usr/include/device_atomic_functions.h" 1 3 4
# 106 "/usr/include/device_atomic_functions.h" 3 4
static __inline__ __attribute__((device)) int atomicAdd(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicAdd(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) int atomicSub(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicSub(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) int atomicExch(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicExch(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) float atomicExch(float *address, float val) { }

static __inline__ __attribute__((device)) int atomicMin(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicMin(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) int atomicMax(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicMax(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) unsigned int atomicInc(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) unsigned int atomicDec(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) int atomicAnd(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicAnd(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) int atomicOr(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicOr(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) int atomicXor(int *address, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicXor(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device)) int atomicCAS(int *address, int compare, int val) { }

static __inline__ __attribute__((device)) unsigned int atomicCAS(unsigned int *address, unsigned int compare, unsigned int val) { }
# 171 "/usr/include/device_atomic_functions.h" 3 4
extern "C"
{





extern __attribute__((device)) __attribute__((device_builtin)) __attribute__((deprecated("__any""() is deprecated in favor of ""__any""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int __any(int cond);
extern __attribute__((device)) __attribute__((device_builtin)) __attribute__((deprecated("__all""() is deprecated in favor of ""__all""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int __all(int cond);
}
# 189 "/usr/include/device_atomic_functions.h" 3 4
static __inline__ __attribute__((device)) unsigned long long int atomicAdd(unsigned long long int *address, unsigned long long int val) { }

static __inline__ __attribute__((device)) unsigned long long int atomicExch(unsigned long long int *address, unsigned long long int val) { }

static __inline__ __attribute__((device)) unsigned long long int atomicCAS(unsigned long long int *address, unsigned long long int compare, unsigned long long int val) { }

static __inline__ __attribute__((device)) __attribute__((deprecated("__any""() is deprecated in favor of ""__any""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) bool any(bool cond) { }

static __inline__ __attribute__((device)) __attribute__((deprecated("__all""() is deprecated in favor of ""__all""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) bool all(bool cond) { }
# 3289 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/crt/device_double_functions.h" 1 3 4
# 83 "/usr/include/crt/device_double_functions.h" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 84 "/usr/include/crt/device_double_functions.h" 2 3 4

# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 86 "/usr/include/crt/device_double_functions.h" 2 3 4

extern "C"
{
# 97 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double_as_longlong(double x);
# 106 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __longlong_as_double(long long int x);
# 263 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_rn(double x, double y, double z);
# 420 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_rz(double x, double y, double z);
# 577 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_ru(double x, double y, double z);
# 734 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_rd(double x, double y, double z);
# 746 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_rn(double x, double y);
# 758 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_rz(double x, double y);
# 770 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_ru(double x, double y);
# 782 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_rd(double x, double y);
# 794 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_rn(double x, double y);
# 806 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_rz(double x, double y);
# 818 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_ru(double x, double y);
# 830 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_rd(double x, double y);
# 842 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_rn(double x, double y);
# 854 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_rz(double x, double y);
# 866 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_ru(double x, double y);
# 878 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_rd(double x, double y);
# 887 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_rn(double x);
# 896 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_rz(double x);
# 905 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_ru(double x);
# 914 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_rd(double x);
# 923 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2int_rn(double x);
# 932 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2int_ru(double x);
# 941 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2int_rd(double x);
# 950 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned int __double2uint_rn(double x);
# 959 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned int __double2uint_ru(double x);
# 968 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned int __double2uint_rd(double x);
# 977 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double2ll_rn(double x);
# 986 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double2ll_ru(double x);
# 995 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double2ll_rd(double x);
# 1004 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned long long int __double2ull_rn(double x);
# 1013 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned long long int __double2ull_ru(double x);
# 1022 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned long long int __double2ull_rd(double x);







extern __attribute__((device)) __attribute__((device_builtin)) double __int2double_rn(int x);







extern __attribute__((device)) __attribute__((device_builtin)) double __uint2double_rn(unsigned int x);
# 1047 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_rn(long long int x);
# 1056 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_rz(long long int x);
# 1065 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_ru(long long int x);
# 1074 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_rd(long long int x);
# 1083 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_rn(unsigned long long int x);
# 1092 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_rz(unsigned long long int x);
# 1101 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_ru(unsigned long long int x);
# 1110 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_rd(unsigned long long int x);
# 1119 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2hiint(double x);
# 1128 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2loint(double x);
# 1138 "/usr/include/crt/device_double_functions.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __hiloint2double(int hi, int lo);
}







static __inline__ __attribute__((device)) double fma(double a, double b, double c, enum cudaRoundMode mode);

static __inline__ __attribute__((device)) double dmul(double a, double b, enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) double dadd(double a, double b, enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) double dsub(double a, double b, enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) int double2int(double a, enum cudaRoundMode mode = cudaRoundZero);

static __inline__ __attribute__((device)) unsigned int double2uint(double a, enum cudaRoundMode mode = cudaRoundZero);

static __inline__ __attribute__((device)) long long int double2ll(double a, enum cudaRoundMode mode = cudaRoundZero);

static __inline__ __attribute__((device)) unsigned long long int double2ull(double a, enum cudaRoundMode mode = cudaRoundZero);

static __inline__ __attribute__((device)) double ll2double(long long int a, enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) double ull2double(unsigned long long int a, enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) double int2double(int a, enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) double uint2double(unsigned int a, enum cudaRoundMode mode = cudaRoundNearest);

static __inline__ __attribute__((device)) double float2double(float a, enum cudaRoundMode mode = cudaRoundNearest);






# 1 "/usr/include/crt/device_double_functions.hpp" 1 3 4
# 83 "/usr/include/crt/device_double_functions.hpp" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 84 "/usr/include/crt/device_double_functions.hpp" 2 3 4

# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 86 "/usr/include/crt/device_double_functions.hpp" 2 3 4







static __inline__ __attribute__((device)) double fma(double a, double b, double c, enum cudaRoundMode mode)
{
  return mode == cudaRoundZero ? __fma_rz(a, b, c) :
         mode == cudaRoundPosInf ? __fma_ru(a, b, c) :
         mode == cudaRoundMinInf ? __fma_rd(a, b, c) :
                                   __fma_rn(a, b, c);
}

static __inline__ __attribute__((device)) double dmul(double a, double b, enum cudaRoundMode mode)
{
  return mode == cudaRoundZero ? __dmul_rz(a, b) :
         mode == cudaRoundPosInf ? __dmul_ru(a, b) :
         mode == cudaRoundMinInf ? __dmul_rd(a, b) :
                                   __dmul_rn(a, b);
}

static __inline__ __attribute__((device)) double dadd(double a, double b, enum cudaRoundMode mode)
{
  return mode == cudaRoundZero ? __dadd_rz(a, b) :
         mode == cudaRoundPosInf ? __dadd_ru(a, b) :
         mode == cudaRoundMinInf ? __dadd_rd(a, b) :
                                   __dadd_rn(a, b);
}

static __inline__ __attribute__((device)) double dsub(double a, double b, enum cudaRoundMode mode)
{
  return mode == cudaRoundZero ? __dsub_rz(a, b) :
         mode == cudaRoundPosInf ? __dsub_ru(a, b) :
         mode == cudaRoundMinInf ? __dsub_rd(a, b) :
                                   __dsub_rn(a, b);
}

static __inline__ __attribute__((device)) int double2int(double a, enum cudaRoundMode mode)
{
  return mode == cudaRoundNearest ? __double2int_rn(a) :
         mode == cudaRoundPosInf ? __double2int_ru(a) :
         mode == cudaRoundMinInf ? __double2int_rd(a) :
                                    __double2int_rz(a);
}

static __inline__ __attribute__((device)) unsigned int double2uint(double a, enum cudaRoundMode mode)
{
  return mode == cudaRoundNearest ? __double2uint_rn(a) :
         mode == cudaRoundPosInf ? __double2uint_ru(a) :
         mode == cudaRoundMinInf ? __double2uint_rd(a) :
                                    __double2uint_rz(a);
}

static __inline__ __attribute__((device)) long long int double2ll(double a, enum cudaRoundMode mode)
{
  return mode == cudaRoundNearest ? __double2ll_rn(a) :
         mode == cudaRoundPosInf ? __double2ll_ru(a) :
         mode == cudaRoundMinInf ? __double2ll_rd(a) :
                                    __double2ll_rz(a);
}

static __inline__ __attribute__((device)) unsigned long long int double2ull(double a, enum cudaRoundMode mode)
{
  return mode == cudaRoundNearest ? __double2ull_rn(a) :
         mode == cudaRoundPosInf ? __double2ull_ru(a) :
         mode == cudaRoundMinInf ? __double2ull_rd(a) :
                                    __double2ull_rz(a);
}

static __inline__ __attribute__((device)) double ll2double(long long int a, enum cudaRoundMode mode)
{
  return mode == cudaRoundZero ? __ll2double_rz(a) :
         mode == cudaRoundPosInf ? __ll2double_ru(a) :
         mode == cudaRoundMinInf ? __ll2double_rd(a) :
                                   __ll2double_rn(a);
}

static __inline__ __attribute__((device)) double ull2double(unsigned long long int a, enum cudaRoundMode mode)
{
  return mode == cudaRoundZero ? __ull2double_rz(a) :
         mode == cudaRoundPosInf ? __ull2double_ru(a) :
         mode == cudaRoundMinInf ? __ull2double_rd(a) :
                                   __ull2double_rn(a);
}

static __inline__ __attribute__((device)) double int2double(int a, enum cudaRoundMode mode)
{
  return (double)a;
}

static __inline__ __attribute__((device)) double uint2double(unsigned int a, enum cudaRoundMode mode)
{
  return (double)a;
}

static __inline__ __attribute__((device)) double float2double(float a, enum cudaRoundMode mode)
{
  return (double)a;
}
# 1179 "/usr/include/crt/device_double_functions.h" 2 3 4
# 3290 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_20_atomic_functions.h" 1 3 4
# 89 "/usr/include/sm_20_atomic_functions.h" 3 4
static __inline__ __attribute__((device)) float atomicAdd(float *address, float val) { }
# 3291 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_32_atomic_functions.h" 1 3 4
# 100 "/usr/include/sm_32_atomic_functions.h" 3 4
static __inline__ __attribute__((device)) long long atomicMin(long long *address, long long val) { }

static __inline__ __attribute__((device)) long long atomicMax(long long *address, long long val) { }

static __inline__ __attribute__((device)) long long atomicAnd(long long *address, long long val) { }

static __inline__ __attribute__((device)) long long atomicOr(long long *address, long long val) { }

static __inline__ __attribute__((device)) long long atomicXor(long long *address, long long val) { }

static __inline__ __attribute__((device)) unsigned long long atomicMin(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device)) unsigned long long atomicMax(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device)) unsigned long long atomicAnd(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device)) unsigned long long atomicOr(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device)) unsigned long long atomicXor(unsigned long long *address, unsigned long long val) { }
# 3292 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_35_atomic_functions.h" 1 3 4
# 56 "/usr/include/sm_35_atomic_functions.h" 3 4
# 1 "/usr/include/sm_32_atomic_functions.h" 1 3 4
# 57 "/usr/include/sm_35_atomic_functions.h" 2 3 4
# 3293 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_60_atomic_functions.h" 1 3 4
# 303 "/usr/include/sm_60_atomic_functions.h" 3 4
static __inline__ __attribute__((device)) double atomicAdd(double *address, double val) { }

static __inline__ __attribute__((device))
int atomicAdd_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicAdd_system(int *address, int val) { }

static __inline__ __attribute__((device))
unsigned int atomicAdd_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicAdd_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long atomicAdd_block(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned long long atomicAdd_system(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
float atomicAdd_block(float *address, float val) { }

static __inline__ __attribute__((device))
float atomicAdd_system(float *address, float val) { }

static __inline__ __attribute__((device))
double atomicAdd_block(double *address, double val) { }

static __inline__ __attribute__((device))
double atomicAdd_system(double *address, double val) { }

static __inline__ __attribute__((device))
int atomicSub_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicSub_system(int *address, int val) { }

static __inline__ __attribute__((device))
unsigned int atomicSub_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicSub_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
int atomicExch_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicExch_system(int *address, int val) { }

static __inline__ __attribute__((device))
unsigned int atomicExch_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicExch_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long atomicExch_block(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned long long atomicExch_system(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
float atomicExch_block(float *address, float val) { }

static __inline__ __attribute__((device))
float atomicExch_system(float *address, float val) { }

static __inline__ __attribute__((device))
int atomicMin_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicMin_system(int *address, int val) { }

static __inline__ __attribute__((device))
long long atomicMin_block(long long *address, long long val) { }

static __inline__ __attribute__((device))
long long atomicMin_system(long long *address, long long val) { }

static __inline__ __attribute__((device))
unsigned int atomicMin_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicMin_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long atomicMin_block(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned long long atomicMin_system(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
int atomicMax_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicMax_system(int *address, int val) { }

static __inline__ __attribute__((device))
long long atomicMax_block(long long *address, long long val) { }

static __inline__ __attribute__((device))
long long atomicMax_system(long long *address, long long val) { }

static __inline__ __attribute__((device))
unsigned int atomicMax_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicMax_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long atomicMax_block(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned long long atomicMax_system(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned int atomicInc_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicInc_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicDec_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicDec_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
int atomicCAS_block(int *address, int compare, int val) { }

static __inline__ __attribute__((device))
int atomicCAS_system(int *address, int compare, int val) { }

static __inline__ __attribute__((device))
unsigned int atomicCAS_block(unsigned int *address, unsigned int compare,
                             unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicCAS_system(unsigned int *address, unsigned int compare,
                              unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long int atomicCAS_block(unsigned long long int *address,
                                       unsigned long long int compare,
                                       unsigned long long int val) { }

static __inline__ __attribute__((device))
unsigned long long int atomicCAS_system(unsigned long long int *address,
                                        unsigned long long int compare,
                                        unsigned long long int val) { }

static __inline__ __attribute__((device))
int atomicAnd_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicAnd_system(int *address, int val) { }

static __inline__ __attribute__((device))
long long atomicAnd_block(long long *address, long long val) { }

static __inline__ __attribute__((device))
long long atomicAnd_system(long long *address, long long val) { }

static __inline__ __attribute__((device))
unsigned int atomicAnd_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicAnd_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long atomicAnd_block(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned long long atomicAnd_system(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
int atomicOr_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicOr_system(int *address, int val) { }

static __inline__ __attribute__((device))
long long atomicOr_block(long long *address, long long val) { }

static __inline__ __attribute__((device))
long long atomicOr_system(long long *address, long long val) { }

static __inline__ __attribute__((device))
unsigned int atomicOr_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicOr_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long atomicOr_block(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned long long atomicOr_system(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
int atomicXor_block(int *address, int val) { }

static __inline__ __attribute__((device))
int atomicXor_system(int *address, int val) { }

static __inline__ __attribute__((device))
long long atomicXor_block(long long *address, long long val) { }

static __inline__ __attribute__((device))
long long atomicXor_system(long long *address, long long val) { }

static __inline__ __attribute__((device))
unsigned int atomicXor_block(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned int atomicXor_system(unsigned int *address, unsigned int val) { }

static __inline__ __attribute__((device))
unsigned long long atomicXor_block(unsigned long long *address, unsigned long long val) { }

static __inline__ __attribute__((device))
unsigned long long atomicXor_system(unsigned long long *address, unsigned long long val) { }
# 3294 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_20_intrinsics.h" 1 3 4
# 90 "/usr/include/sm_20_intrinsics.h" 3 4
extern "C"
{
extern __attribute__((device)) __attribute__((device_builtin)) void __threadfence_system(void);
# 104 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ddiv_rn(double x, double y);
# 116 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ddiv_rz(double x, double y);
# 128 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ddiv_ru(double x, double y);
# 140 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ddiv_rd(double x, double y);
# 174 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __drcp_rn(double x);
# 208 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __drcp_rz(double x);
# 242 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __drcp_ru(double x);
# 276 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __drcp_rd(double x);
# 308 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsqrt_rn(double x);
# 340 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsqrt_rz(double x);
# 372 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsqrt_ru(double x);
# 404 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsqrt_rd(double x);
extern __attribute__((device)) __attribute__((device_builtin)) __attribute__((deprecated("__ballot""() is deprecated in favor of ""__ballot""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int __ballot(int);
extern __attribute__((device)) __attribute__((device_builtin)) int __syncthreads_count(int);
extern __attribute__((device)) __attribute__((device_builtin)) int __syncthreads_and(int);
extern __attribute__((device)) __attribute__((device_builtin)) int __syncthreads_or(int);
extern __attribute__((device)) __attribute__((device_builtin)) long long int clock64(void);
# 419 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __fmaf_ieee_rn(float x, float y, float z);
# 428 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __fmaf_ieee_rd(float x, float y, float z);
# 437 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __fmaf_ieee_ru(float x, float y, float z);
# 446 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __fmaf_ieee_rz(float x, float y, float z);
# 459 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double_as_longlong(double x);
# 468 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __longlong_as_double(long long int x);
# 625 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_rn(double x, double y, double z);
# 782 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_rz(double x, double y, double z);
# 939 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_ru(double x, double y, double z);
# 1096 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __fma_rd(double x, double y, double z);
# 1108 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_rn(double x, double y);
# 1120 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_rz(double x, double y);
# 1132 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_ru(double x, double y);
# 1144 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dadd_rd(double x, double y);
# 1156 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_rn(double x, double y);
# 1168 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_rz(double x, double y);
# 1180 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_ru(double x, double y);
# 1192 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dsub_rd(double x, double y);
# 1204 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_rn(double x, double y);
# 1216 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_rz(double x, double y);
# 1228 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_ru(double x, double y);
# 1240 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __dmul_rd(double x, double y);
# 1249 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_rn(double x);
# 1258 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_rz(double x);
# 1267 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_ru(double x);
# 1276 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) float __double2float_rd(double x);
# 1285 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2int_rn(double x);
# 1294 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2int_ru(double x);
# 1303 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2int_rd(double x);
# 1312 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned int __double2uint_rn(double x);
# 1321 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned int __double2uint_ru(double x);
# 1330 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned int __double2uint_rd(double x);
# 1339 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double2ll_rn(double x);
# 1348 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double2ll_ru(double x);
# 1357 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) long long int __double2ll_rd(double x);
# 1366 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned long long int __double2ull_rn(double x);
# 1375 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned long long int __double2ull_ru(double x);
# 1384 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) unsigned long long int __double2ull_rd(double x);







extern __attribute__((device)) __attribute__((device_builtin)) double __int2double_rn(int x);







extern __attribute__((device)) __attribute__((device_builtin)) double __uint2double_rn(unsigned int x);
# 1409 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_rn(long long int x);
# 1418 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_rz(long long int x);
# 1427 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_ru(long long int x);
# 1436 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ll2double_rd(long long int x);
# 1445 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_rn(unsigned long long int x);
# 1454 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_rz(unsigned long long int x);
# 1463 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_ru(unsigned long long int x);
# 1472 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __ull2double_rd(unsigned long long int x);
# 1481 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2hiint(double x);
# 1490 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) int __double2loint(double x);
# 1500 "/usr/include/sm_20_intrinsics.h" 3 4
extern __attribute__((device)) __attribute__((device_builtin)) double __hiloint2double(int hi, int lo);


}






static __inline__ __attribute__((device)) __attribute__((deprecated("__ballot""() is deprecated in favor of ""__ballot""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int ballot(bool pred) { }

static __inline__ __attribute__((device)) int syncthreads_count(bool pred) { }

static __inline__ __attribute__((device)) bool syncthreads_and(bool pred) { }

static __inline__ __attribute__((device)) bool syncthreads_or(bool pred) { }




static __inline__ __attribute__((device)) unsigned int __isGlobal(const void *ptr) { }
static __inline__ __attribute__((device)) unsigned int __isShared(const void *ptr) { }
static __inline__ __attribute__((device)) unsigned int __isConstant(const void *ptr) { }
static __inline__ __attribute__((device)) unsigned int __isLocal(const void *ptr) { }

static __inline__ __attribute__((device)) size_t __cvta_generic_to_global(const void *ptr) { }
static __inline__ __attribute__((device)) size_t __cvta_generic_to_shared(const void *ptr) { }
static __inline__ __attribute__((device)) size_t __cvta_generic_to_constant(const void *ptr) { }
static __inline__ __attribute__((device)) size_t __cvta_generic_to_local(const void *ptr) { }

static __inline__ __attribute__((device)) void * __cvta_global_to_generic(size_t rawbits) { }
static __inline__ __attribute__((device)) void * __cvta_shared_to_generic(size_t rawbits) { }
static __inline__ __attribute__((device)) void * __cvta_constant_to_generic(size_t rawbits) { }
static __inline__ __attribute__((device)) void * __cvta_local_to_generic(size_t rawbits) { }
# 3295 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_30_intrinsics.h" 1 3 4
# 102 "/usr/include/sm_30_intrinsics.h" 3 4
static __attribute__((device)) __inline__ unsigned __fns(unsigned mask, unsigned base, int offset) { }
static __attribute__((device)) __inline__ void __barrier_sync(unsigned id) { }
static __attribute__((device)) __inline__ void __barrier_sync_count(unsigned id, unsigned cnt) { }
static __attribute__((device)) __inline__ void __syncwarp(unsigned mask=0xFFFFFFFF) { }
static __attribute__((device)) __inline__ int __all_sync(unsigned mask, int pred) { }
static __attribute__((device)) __inline__ int __any_sync(unsigned mask, int pred) { }
static __attribute__((device)) __inline__ int __uni_sync(unsigned mask, int pred) { }
static __attribute__((device)) __inline__ unsigned __ballot_sync(unsigned mask, int pred) { }
static __attribute__((device)) __inline__ unsigned __activemask() { }
# 119 "/usr/include/sm_30_intrinsics.h" 3 4
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int __shfl(int var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int __shfl(unsigned int var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int __shfl_up(int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int __shfl_up(unsigned int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int __shfl_down(int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int __shfl_down(unsigned int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) int __shfl_xor(int var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned int __shfl_xor(unsigned int var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float __shfl(float var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float __shfl_up(float var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float __shfl_down(float var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) float __shfl_xor(float var, int laneMask, int width=32) { }


static __attribute__((device)) __inline__ int __shfl_sync(unsigned mask, int var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ unsigned int __shfl_sync(unsigned mask, unsigned int var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ int __shfl_up_sync(unsigned mask, int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ unsigned int __shfl_up_sync(unsigned mask, unsigned int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ int __shfl_down_sync(unsigned mask, int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ unsigned int __shfl_down_sync(unsigned mask, unsigned int var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ int __shfl_xor_sync(unsigned mask, int var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ unsigned int __shfl_xor_sync(unsigned mask, unsigned int var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ float __shfl_sync(unsigned mask, float var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ float __shfl_up_sync(unsigned mask, float var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ float __shfl_down_sync(unsigned mask, float var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ float __shfl_xor_sync(unsigned mask, float var, int laneMask, int width=32) { }



static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long long __shfl(unsigned long long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long long __shfl(long long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long long __shfl_up(long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long long __shfl_up(unsigned long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long long __shfl_down(long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long long __shfl_down(unsigned long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long long __shfl_xor(long long var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long long __shfl_xor(unsigned long long var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) double __shfl(double var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) double __shfl_up(double var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) double __shfl_down(double var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) double __shfl_xor(double var, int laneMask, int width=32) { }


static __attribute__((device)) __inline__ long long __shfl_sync(unsigned mask, long long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ unsigned long long __shfl_sync(unsigned mask, unsigned long long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ long long __shfl_up_sync(unsigned mask, long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ unsigned long long __shfl_up_sync(unsigned mask, unsigned long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ long long __shfl_down_sync(unsigned mask, long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ unsigned long long __shfl_down_sync(unsigned mask, unsigned long long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ long long __shfl_xor_sync(unsigned mask, long long var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ unsigned long long __shfl_xor_sync(unsigned mask, unsigned long long var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ double __shfl_sync(unsigned mask, double var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ double __shfl_up_sync(unsigned mask, double var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ double __shfl_down_sync(unsigned mask, double var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ double __shfl_xor_sync(unsigned mask, double var, int laneMask, int width=32) { }



static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long __shfl(long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl""() is deprecated in favor of ""__shfl""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long __shfl(unsigned long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long __shfl_up(long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_up""() is deprecated in favor of ""__shfl_up""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long __shfl_up(unsigned long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long __shfl_down(long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_down""() is deprecated in favor of ""__shfl_down""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long __shfl_down(unsigned long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) long __shfl_xor(long var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ __attribute__((deprecated("__shfl_xor""() is deprecated in favor of ""__shfl_xor""_sync() and may be removed in a future release (Use -Wno-deprecated-declarations to suppress this warning)."))) unsigned long __shfl_xor(unsigned long var, int laneMask, int width=32) { }


static __attribute__((device)) __inline__ long __shfl_sync(unsigned mask, long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ unsigned long __shfl_sync(unsigned mask, unsigned long var, int srcLane, int width=32) { }
static __attribute__((device)) __inline__ long __shfl_up_sync(unsigned mask, long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ unsigned long __shfl_up_sync(unsigned mask, unsigned long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ long __shfl_down_sync(unsigned mask, long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ unsigned long __shfl_down_sync(unsigned mask, unsigned long var, unsigned int delta, int width=32) { }
static __attribute__((device)) __inline__ long __shfl_xor_sync(unsigned mask, long var, int laneMask, int width=32) { }
static __attribute__((device)) __inline__ unsigned long __shfl_xor_sync(unsigned mask, unsigned long var, int laneMask, int width=32) { }
# 3296 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_32_intrinsics.h" 1 3 4
# 87 "/usr/include/sm_32_intrinsics.h" 3 4
static __attribute__((device)) __inline__ long __ldg(const long *ptr) { }
static __attribute__((device)) __inline__ unsigned long __ldg(const unsigned long *ptr) { }

static __attribute__((device)) __inline__ char __ldg(const char *ptr) { }
static __attribute__((device)) __inline__ signed char __ldg(const signed char *ptr) { }
static __attribute__((device)) __inline__ short __ldg(const short *ptr) { }
static __attribute__((device)) __inline__ int __ldg(const int *ptr) { }
static __attribute__((device)) __inline__ long long __ldg(const long long *ptr) { }
static __attribute__((device)) __inline__ char2 __ldg(const char2 *ptr) { }
static __attribute__((device)) __inline__ char4 __ldg(const char4 *ptr) { }
static __attribute__((device)) __inline__ short2 __ldg(const short2 *ptr) { }
static __attribute__((device)) __inline__ short4 __ldg(const short4 *ptr) { }
static __attribute__((device)) __inline__ int2 __ldg(const int2 *ptr) { }
static __attribute__((device)) __inline__ int4 __ldg(const int4 *ptr) { }
static __attribute__((device)) __inline__ longlong2 __ldg(const longlong2 *ptr) { }

static __attribute__((device)) __inline__ unsigned char __ldg(const unsigned char *ptr) { }
static __attribute__((device)) __inline__ unsigned short __ldg(const unsigned short *ptr) { }
static __attribute__((device)) __inline__ unsigned int __ldg(const unsigned int *ptr) { }
static __attribute__((device)) __inline__ unsigned long long __ldg(const unsigned long long *ptr) { }
static __attribute__((device)) __inline__ uchar2 __ldg(const uchar2 *ptr) { }
static __attribute__((device)) __inline__ uchar4 __ldg(const uchar4 *ptr) { }
static __attribute__((device)) __inline__ ushort2 __ldg(const ushort2 *ptr) { }
static __attribute__((device)) __inline__ ushort4 __ldg(const ushort4 *ptr) { }
static __attribute__((device)) __inline__ uint2 __ldg(const uint2 *ptr) { }
static __attribute__((device)) __inline__ uint4 __ldg(const uint4 *ptr) { }
static __attribute__((device)) __inline__ ulonglong2 __ldg(const ulonglong2 *ptr) { }

static __attribute__((device)) __inline__ float __ldg(const float *ptr) { }
static __attribute__((device)) __inline__ double __ldg(const double *ptr) { }
static __attribute__((device)) __inline__ float2 __ldg(const float2 *ptr) { }
static __attribute__((device)) __inline__ float4 __ldg(const float4 *ptr) { }
static __attribute__((device)) __inline__ double2 __ldg(const double2 *ptr) { }



static __attribute__((device)) __inline__ long __ldcg(const long *ptr) { }
static __attribute__((device)) __inline__ unsigned long __ldcg(const unsigned long *ptr) { }

static __attribute__((device)) __inline__ char __ldcg(const char *ptr) { }
static __attribute__((device)) __inline__ signed char __ldcg(const signed char *ptr) { }
static __attribute__((device)) __inline__ short __ldcg(const short *ptr) { }
static __attribute__((device)) __inline__ int __ldcg(const int *ptr) { }
static __attribute__((device)) __inline__ long long __ldcg(const long long *ptr) { }
static __attribute__((device)) __inline__ char2 __ldcg(const char2 *ptr) { }
static __attribute__((device)) __inline__ char4 __ldcg(const char4 *ptr) { }
static __attribute__((device)) __inline__ short2 __ldcg(const short2 *ptr) { }
static __attribute__((device)) __inline__ short4 __ldcg(const short4 *ptr) { }
static __attribute__((device)) __inline__ int2 __ldcg(const int2 *ptr) { }
static __attribute__((device)) __inline__ int4 __ldcg(const int4 *ptr) { }
static __attribute__((device)) __inline__ longlong2 __ldcg(const longlong2 *ptr) { }

static __attribute__((device)) __inline__ unsigned char __ldcg(const unsigned char *ptr) { }
static __attribute__((device)) __inline__ unsigned short __ldcg(const unsigned short *ptr) { }
static __attribute__((device)) __inline__ unsigned int __ldcg(const unsigned int *ptr) { }
static __attribute__((device)) __inline__ unsigned long long __ldcg(const unsigned long long *ptr) { }
static __attribute__((device)) __inline__ uchar2 __ldcg(const uchar2 *ptr) { }
static __attribute__((device)) __inline__ uchar4 __ldcg(const uchar4 *ptr) { }
static __attribute__((device)) __inline__ ushort2 __ldcg(const ushort2 *ptr) { }
static __attribute__((device)) __inline__ ushort4 __ldcg(const ushort4 *ptr) { }
static __attribute__((device)) __inline__ uint2 __ldcg(const uint2 *ptr) { }
static __attribute__((device)) __inline__ uint4 __ldcg(const uint4 *ptr) { }
static __attribute__((device)) __inline__ ulonglong2 __ldcg(const ulonglong2 *ptr) { }

static __attribute__((device)) __inline__ float __ldcg(const float *ptr) { }
static __attribute__((device)) __inline__ double __ldcg(const double *ptr) { }
static __attribute__((device)) __inline__ float2 __ldcg(const float2 *ptr) { }
static __attribute__((device)) __inline__ float4 __ldcg(const float4 *ptr) { }
static __attribute__((device)) __inline__ double2 __ldcg(const double2 *ptr) { }



static __attribute__((device)) __inline__ long __ldca(const long *ptr) { }
static __attribute__((device)) __inline__ unsigned long __ldca(const unsigned long *ptr) { }

static __attribute__((device)) __inline__ char __ldca(const char *ptr) { }
static __attribute__((device)) __inline__ signed char __ldca(const signed char *ptr) { }
static __attribute__((device)) __inline__ short __ldca(const short *ptr) { }
static __attribute__((device)) __inline__ int __ldca(const int *ptr) { }
static __attribute__((device)) __inline__ long long __ldca(const long long *ptr) { }
static __attribute__((device)) __inline__ char2 __ldca(const char2 *ptr) { }
static __attribute__((device)) __inline__ char4 __ldca(const char4 *ptr) { }
static __attribute__((device)) __inline__ short2 __ldca(const short2 *ptr) { }
static __attribute__((device)) __inline__ short4 __ldca(const short4 *ptr) { }
static __attribute__((device)) __inline__ int2 __ldca(const int2 *ptr) { }
static __attribute__((device)) __inline__ int4 __ldca(const int4 *ptr) { }
static __attribute__((device)) __inline__ longlong2 __ldca(const longlong2 *ptr) { }

static __attribute__((device)) __inline__ unsigned char __ldca(const unsigned char *ptr) { }
static __attribute__((device)) __inline__ unsigned short __ldca(const unsigned short *ptr) { }
static __attribute__((device)) __inline__ unsigned int __ldca(const unsigned int *ptr) { }
static __attribute__((device)) __inline__ unsigned long long __ldca(const unsigned long long *ptr) { }
static __attribute__((device)) __inline__ uchar2 __ldca(const uchar2 *ptr) { }
static __attribute__((device)) __inline__ uchar4 __ldca(const uchar4 *ptr) { }
static __attribute__((device)) __inline__ ushort2 __ldca(const ushort2 *ptr) { }
static __attribute__((device)) __inline__ ushort4 __ldca(const ushort4 *ptr) { }
static __attribute__((device)) __inline__ uint2 __ldca(const uint2 *ptr) { }
static __attribute__((device)) __inline__ uint4 __ldca(const uint4 *ptr) { }
static __attribute__((device)) __inline__ ulonglong2 __ldca(const ulonglong2 *ptr) { }

static __attribute__((device)) __inline__ float __ldca(const float *ptr) { }
static __attribute__((device)) __inline__ double __ldca(const double *ptr) { }
static __attribute__((device)) __inline__ float2 __ldca(const float2 *ptr) { }
static __attribute__((device)) __inline__ float4 __ldca(const float4 *ptr) { }
static __attribute__((device)) __inline__ double2 __ldca(const double2 *ptr) { }



static __attribute__((device)) __inline__ long __ldcs(const long *ptr) { }
static __attribute__((device)) __inline__ unsigned long __ldcs(const unsigned long *ptr) { }

static __attribute__((device)) __inline__ char __ldcs(const char *ptr) { }
static __attribute__((device)) __inline__ signed char __ldcs(const signed char *ptr) { }
static __attribute__((device)) __inline__ short __ldcs(const short *ptr) { }
static __attribute__((device)) __inline__ int __ldcs(const int *ptr) { }
static __attribute__((device)) __inline__ long long __ldcs(const long long *ptr) { }
static __attribute__((device)) __inline__ char2 __ldcs(const char2 *ptr) { }
static __attribute__((device)) __inline__ char4 __ldcs(const char4 *ptr) { }
static __attribute__((device)) __inline__ short2 __ldcs(const short2 *ptr) { }
static __attribute__((device)) __inline__ short4 __ldcs(const short4 *ptr) { }
static __attribute__((device)) __inline__ int2 __ldcs(const int2 *ptr) { }
static __attribute__((device)) __inline__ int4 __ldcs(const int4 *ptr) { }
static __attribute__((device)) __inline__ longlong2 __ldcs(const longlong2 *ptr) { }

static __attribute__((device)) __inline__ unsigned char __ldcs(const unsigned char *ptr) { }
static __attribute__((device)) __inline__ unsigned short __ldcs(const unsigned short *ptr) { }
static __attribute__((device)) __inline__ unsigned int __ldcs(const unsigned int *ptr) { }
static __attribute__((device)) __inline__ unsigned long long __ldcs(const unsigned long long *ptr) { }
static __attribute__((device)) __inline__ uchar2 __ldcs(const uchar2 *ptr) { }
static __attribute__((device)) __inline__ uchar4 __ldcs(const uchar4 *ptr) { }
static __attribute__((device)) __inline__ ushort2 __ldcs(const ushort2 *ptr) { }
static __attribute__((device)) __inline__ ushort4 __ldcs(const ushort4 *ptr) { }
static __attribute__((device)) __inline__ uint2 __ldcs(const uint2 *ptr) { }
static __attribute__((device)) __inline__ uint4 __ldcs(const uint4 *ptr) { }
static __attribute__((device)) __inline__ ulonglong2 __ldcs(const ulonglong2 *ptr) { }

static __attribute__((device)) __inline__ float __ldcs(const float *ptr) { }
static __attribute__((device)) __inline__ double __ldcs(const double *ptr) { }
static __attribute__((device)) __inline__ float2 __ldcs(const float2 *ptr) { }
static __attribute__((device)) __inline__ float4 __ldcs(const float4 *ptr) { }
static __attribute__((device)) __inline__ double2 __ldcs(const double2 *ptr) { }



static __attribute__((device)) __inline__ long __ldlu(const long *ptr) { }
static __attribute__((device)) __inline__ unsigned long __ldlu(const unsigned long *ptr) { }

static __attribute__((device)) __inline__ char __ldlu(const char *ptr) { }
static __attribute__((device)) __inline__ signed char __ldlu(const signed char *ptr) { }
static __attribute__((device)) __inline__ short __ldlu(const short *ptr) { }
static __attribute__((device)) __inline__ int __ldlu(const int *ptr) { }
static __attribute__((device)) __inline__ long long __ldlu(const long long *ptr) { }
static __attribute__((device)) __inline__ char2 __ldlu(const char2 *ptr) { }
static __attribute__((device)) __inline__ char4 __ldlu(const char4 *ptr) { }
static __attribute__((device)) __inline__ short2 __ldlu(const short2 *ptr) { }
static __attribute__((device)) __inline__ short4 __ldlu(const short4 *ptr) { }
static __attribute__((device)) __inline__ int2 __ldlu(const int2 *ptr) { }
static __attribute__((device)) __inline__ int4 __ldlu(const int4 *ptr) { }
static __attribute__((device)) __inline__ longlong2 __ldlu(const longlong2 *ptr) { }

static __attribute__((device)) __inline__ unsigned char __ldlu(const unsigned char *ptr) { }
static __attribute__((device)) __inline__ unsigned short __ldlu(const unsigned short *ptr) { }
static __attribute__((device)) __inline__ unsigned int __ldlu(const unsigned int *ptr) { }
static __attribute__((device)) __inline__ unsigned long long __ldlu(const unsigned long long *ptr) { }
static __attribute__((device)) __inline__ uchar2 __ldlu(const uchar2 *ptr) { }
static __attribute__((device)) __inline__ uchar4 __ldlu(const uchar4 *ptr) { }
static __attribute__((device)) __inline__ ushort2 __ldlu(const ushort2 *ptr) { }
static __attribute__((device)) __inline__ ushort4 __ldlu(const ushort4 *ptr) { }
static __attribute__((device)) __inline__ uint2 __ldlu(const uint2 *ptr) { }
static __attribute__((device)) __inline__ uint4 __ldlu(const uint4 *ptr) { }
static __attribute__((device)) __inline__ ulonglong2 __ldlu(const ulonglong2 *ptr) { }

static __attribute__((device)) __inline__ float __ldlu(const float *ptr) { }
static __attribute__((device)) __inline__ double __ldlu(const double *ptr) { }
static __attribute__((device)) __inline__ float2 __ldlu(const float2 *ptr) { }
static __attribute__((device)) __inline__ float4 __ldlu(const float4 *ptr) { }
static __attribute__((device)) __inline__ double2 __ldlu(const double2 *ptr) { }



static __attribute__((device)) __inline__ long __ldcv(const long *ptr) { }
static __attribute__((device)) __inline__ unsigned long __ldcv(const unsigned long *ptr) { }

static __attribute__((device)) __inline__ char __ldcv(const char *ptr) { }
static __attribute__((device)) __inline__ signed char __ldcv(const signed char *ptr) { }
static __attribute__((device)) __inline__ short __ldcv(const short *ptr) { }
static __attribute__((device)) __inline__ int __ldcv(const int *ptr) { }
static __attribute__((device)) __inline__ long long __ldcv(const long long *ptr) { }
static __attribute__((device)) __inline__ char2 __ldcv(const char2 *ptr) { }
static __attribute__((device)) __inline__ char4 __ldcv(const char4 *ptr) { }
static __attribute__((device)) __inline__ short2 __ldcv(const short2 *ptr) { }
static __attribute__((device)) __inline__ short4 __ldcv(const short4 *ptr) { }
static __attribute__((device)) __inline__ int2 __ldcv(const int2 *ptr) { }
static __attribute__((device)) __inline__ int4 __ldcv(const int4 *ptr) { }
static __attribute__((device)) __inline__ longlong2 __ldcv(const longlong2 *ptr) { }

static __attribute__((device)) __inline__ unsigned char __ldcv(const unsigned char *ptr) { }
static __attribute__((device)) __inline__ unsigned short __ldcv(const unsigned short *ptr) { }
static __attribute__((device)) __inline__ unsigned int __ldcv(const unsigned int *ptr) { }
static __attribute__((device)) __inline__ unsigned long long __ldcv(const unsigned long long *ptr) { }
static __attribute__((device)) __inline__ uchar2 __ldcv(const uchar2 *ptr) { }
static __attribute__((device)) __inline__ uchar4 __ldcv(const uchar4 *ptr) { }
static __attribute__((device)) __inline__ ushort2 __ldcv(const ushort2 *ptr) { }
static __attribute__((device)) __inline__ ushort4 __ldcv(const ushort4 *ptr) { }
static __attribute__((device)) __inline__ uint2 __ldcv(const uint2 *ptr) { }
static __attribute__((device)) __inline__ uint4 __ldcv(const uint4 *ptr) { }
static __attribute__((device)) __inline__ ulonglong2 __ldcv(const ulonglong2 *ptr) { }

static __attribute__((device)) __inline__ float __ldcv(const float *ptr) { }
static __attribute__((device)) __inline__ double __ldcv(const double *ptr) { }
static __attribute__((device)) __inline__ float2 __ldcv(const float2 *ptr) { }
static __attribute__((device)) __inline__ float4 __ldcv(const float4 *ptr) { }
static __attribute__((device)) __inline__ double2 __ldcv(const double2 *ptr) { }



static __attribute__((device)) __inline__ void __stwb(long *ptr, long value) { }
static __attribute__((device)) __inline__ void __stwb(unsigned long *ptr, unsigned long value) { }

static __attribute__((device)) __inline__ void __stwb(char *ptr, char value) { }
static __attribute__((device)) __inline__ void __stwb(signed char *ptr, signed char value) { }
static __attribute__((device)) __inline__ void __stwb(short *ptr, short value) { }
static __attribute__((device)) __inline__ void __stwb(int *ptr, int value) { }
static __attribute__((device)) __inline__ void __stwb(long long *ptr, long long value) { }
static __attribute__((device)) __inline__ void __stwb(char2 *ptr, char2 value) { }
static __attribute__((device)) __inline__ void __stwb(char4 *ptr, char4 value) { }
static __attribute__((device)) __inline__ void __stwb(short2 *ptr, short2 value) { }
static __attribute__((device)) __inline__ void __stwb(short4 *ptr, short4 value) { }
static __attribute__((device)) __inline__ void __stwb(int2 *ptr, int2 value) { }
static __attribute__((device)) __inline__ void __stwb(int4 *ptr, int4 value) { }
static __attribute__((device)) __inline__ void __stwb(longlong2 *ptr, longlong2 value) { }

static __attribute__((device)) __inline__ void __stwb(unsigned char *ptr, unsigned char value) { }
static __attribute__((device)) __inline__ void __stwb(unsigned short *ptr, unsigned short value) { }
static __attribute__((device)) __inline__ void __stwb(unsigned int *ptr, unsigned int value) { }
static __attribute__((device)) __inline__ void __stwb(unsigned long long *ptr, unsigned long long value) { }
static __attribute__((device)) __inline__ void __stwb(uchar2 *ptr, uchar2 value) { }
static __attribute__((device)) __inline__ void __stwb(uchar4 *ptr, uchar4 value) { }
static __attribute__((device)) __inline__ void __stwb(ushort2 *ptr, ushort2 value) { }
static __attribute__((device)) __inline__ void __stwb(ushort4 *ptr, ushort4 value) { }
static __attribute__((device)) __inline__ void __stwb(uint2 *ptr, uint2 value) { }
static __attribute__((device)) __inline__ void __stwb(uint4 *ptr, uint4 value) { }
static __attribute__((device)) __inline__ void __stwb(ulonglong2 *ptr, ulonglong2 value) { }

static __attribute__((device)) __inline__ void __stwb(float *ptr, float value) { }
static __attribute__((device)) __inline__ void __stwb(double *ptr, double value) { }
static __attribute__((device)) __inline__ void __stwb(float2 *ptr, float2 value) { }
static __attribute__((device)) __inline__ void __stwb(float4 *ptr, float4 value) { }
static __attribute__((device)) __inline__ void __stwb(double2 *ptr, double2 value) { }



static __attribute__((device)) __inline__ void __stcg(long *ptr, long value) { }
static __attribute__((device)) __inline__ void __stcg(unsigned long *ptr, unsigned long value) { }

static __attribute__((device)) __inline__ void __stcg(char *ptr, char value) { }
static __attribute__((device)) __inline__ void __stcg(signed char *ptr, signed char value) { }
static __attribute__((device)) __inline__ void __stcg(short *ptr, short value) { }
static __attribute__((device)) __inline__ void __stcg(int *ptr, int value) { }
static __attribute__((device)) __inline__ void __stcg(long long *ptr, long long value) { }
static __attribute__((device)) __inline__ void __stcg(char2 *ptr, char2 value) { }
static __attribute__((device)) __inline__ void __stcg(char4 *ptr, char4 value) { }
static __attribute__((device)) __inline__ void __stcg(short2 *ptr, short2 value) { }
static __attribute__((device)) __inline__ void __stcg(short4 *ptr, short4 value) { }
static __attribute__((device)) __inline__ void __stcg(int2 *ptr, int2 value) { }
static __attribute__((device)) __inline__ void __stcg(int4 *ptr, int4 value) { }
static __attribute__((device)) __inline__ void __stcg(longlong2 *ptr, longlong2 value) { }

static __attribute__((device)) __inline__ void __stcg(unsigned char *ptr, unsigned char value) { }
static __attribute__((device)) __inline__ void __stcg(unsigned short *ptr, unsigned short value) { }
static __attribute__((device)) __inline__ void __stcg(unsigned int *ptr, unsigned int value) { }
static __attribute__((device)) __inline__ void __stcg(unsigned long long *ptr, unsigned long long value) { }
static __attribute__((device)) __inline__ void __stcg(uchar2 *ptr, uchar2 value) { }
static __attribute__((device)) __inline__ void __stcg(uchar4 *ptr, uchar4 value) { }
static __attribute__((device)) __inline__ void __stcg(ushort2 *ptr, ushort2 value) { }
static __attribute__((device)) __inline__ void __stcg(ushort4 *ptr, ushort4 value) { }
static __attribute__((device)) __inline__ void __stcg(uint2 *ptr, uint2 value) { }
static __attribute__((device)) __inline__ void __stcg(uint4 *ptr, uint4 value) { }
static __attribute__((device)) __inline__ void __stcg(ulonglong2 *ptr, ulonglong2 value) { }

static __attribute__((device)) __inline__ void __stcg(float *ptr, float value) { }
static __attribute__((device)) __inline__ void __stcg(double *ptr, double value) { }
static __attribute__((device)) __inline__ void __stcg(float2 *ptr, float2 value) { }
static __attribute__((device)) __inline__ void __stcg(float4 *ptr, float4 value) { }
static __attribute__((device)) __inline__ void __stcg(double2 *ptr, double2 value) { }



static __attribute__((device)) __inline__ void __stcs(long *ptr, long value) { }
static __attribute__((device)) __inline__ void __stcs(unsigned long *ptr, unsigned long value) { }

static __attribute__((device)) __inline__ void __stcs(char *ptr, char value) { }
static __attribute__((device)) __inline__ void __stcs(signed char *ptr, signed char value) { }
static __attribute__((device)) __inline__ void __stcs(short *ptr, short value) { }
static __attribute__((device)) __inline__ void __stcs(int *ptr, int value) { }
static __attribute__((device)) __inline__ void __stcs(long long *ptr, long long value) { }
static __attribute__((device)) __inline__ void __stcs(char2 *ptr, char2 value) { }
static __attribute__((device)) __inline__ void __stcs(char4 *ptr, char4 value) { }
static __attribute__((device)) __inline__ void __stcs(short2 *ptr, short2 value) { }
static __attribute__((device)) __inline__ void __stcs(short4 *ptr, short4 value) { }
static __attribute__((device)) __inline__ void __stcs(int2 *ptr, int2 value) { }
static __attribute__((device)) __inline__ void __stcs(int4 *ptr, int4 value) { }
static __attribute__((device)) __inline__ void __stcs(longlong2 *ptr, longlong2 value) { }

static __attribute__((device)) __inline__ void __stcs(unsigned char *ptr, unsigned char value) { }
static __attribute__((device)) __inline__ void __stcs(unsigned short *ptr, unsigned short value) { }
static __attribute__((device)) __inline__ void __stcs(unsigned int *ptr, unsigned int value) { }
static __attribute__((device)) __inline__ void __stcs(unsigned long long *ptr, unsigned long long value) { }
static __attribute__((device)) __inline__ void __stcs(uchar2 *ptr, uchar2 value) { }
static __attribute__((device)) __inline__ void __stcs(uchar4 *ptr, uchar4 value) { }
static __attribute__((device)) __inline__ void __stcs(ushort2 *ptr, ushort2 value) { }
static __attribute__((device)) __inline__ void __stcs(ushort4 *ptr, ushort4 value) { }
static __attribute__((device)) __inline__ void __stcs(uint2 *ptr, uint2 value) { }
static __attribute__((device)) __inline__ void __stcs(uint4 *ptr, uint4 value) { }
static __attribute__((device)) __inline__ void __stcs(ulonglong2 *ptr, ulonglong2 value) { }

static __attribute__((device)) __inline__ void __stcs(float *ptr, float value) { }
static __attribute__((device)) __inline__ void __stcs(double *ptr, double value) { }
static __attribute__((device)) __inline__ void __stcs(float2 *ptr, float2 value) { }
static __attribute__((device)) __inline__ void __stcs(float4 *ptr, float4 value) { }
static __attribute__((device)) __inline__ void __stcs(double2 *ptr, double2 value) { }



static __attribute__((device)) __inline__ void __stwt(long *ptr, long value) { }
static __attribute__((device)) __inline__ void __stwt(unsigned long *ptr, unsigned long value) { }

static __attribute__((device)) __inline__ void __stwt(char *ptr, char value) { }
static __attribute__((device)) __inline__ void __stwt(signed char *ptr, signed char value) { }
static __attribute__((device)) __inline__ void __stwt(short *ptr, short value) { }
static __attribute__((device)) __inline__ void __stwt(int *ptr, int value) { }
static __attribute__((device)) __inline__ void __stwt(long long *ptr, long long value) { }
static __attribute__((device)) __inline__ void __stwt(char2 *ptr, char2 value) { }
static __attribute__((device)) __inline__ void __stwt(char4 *ptr, char4 value) { }
static __attribute__((device)) __inline__ void __stwt(short2 *ptr, short2 value) { }
static __attribute__((device)) __inline__ void __stwt(short4 *ptr, short4 value) { }
static __attribute__((device)) __inline__ void __stwt(int2 *ptr, int2 value) { }
static __attribute__((device)) __inline__ void __stwt(int4 *ptr, int4 value) { }
static __attribute__((device)) __inline__ void __stwt(longlong2 *ptr, longlong2 value) { }

static __attribute__((device)) __inline__ void __stwt(unsigned char *ptr, unsigned char value) { }
static __attribute__((device)) __inline__ void __stwt(unsigned short *ptr, unsigned short value) { }
static __attribute__((device)) __inline__ void __stwt(unsigned int *ptr, unsigned int value) { }
static __attribute__((device)) __inline__ void __stwt(unsigned long long *ptr, unsigned long long value) { }
static __attribute__((device)) __inline__ void __stwt(uchar2 *ptr, uchar2 value) { }
static __attribute__((device)) __inline__ void __stwt(uchar4 *ptr, uchar4 value) { }
static __attribute__((device)) __inline__ void __stwt(ushort2 *ptr, ushort2 value) { }
static __attribute__((device)) __inline__ void __stwt(ushort4 *ptr, ushort4 value) { }
static __attribute__((device)) __inline__ void __stwt(uint2 *ptr, uint2 value) { }
static __attribute__((device)) __inline__ void __stwt(uint4 *ptr, uint4 value) { }
static __attribute__((device)) __inline__ void __stwt(ulonglong2 *ptr, ulonglong2 value) { }

static __attribute__((device)) __inline__ void __stwt(float *ptr, float value) { }
static __attribute__((device)) __inline__ void __stwt(double *ptr, double value) { }
static __attribute__((device)) __inline__ void __stwt(float2 *ptr, float2 value) { }
static __attribute__((device)) __inline__ void __stwt(float4 *ptr, float4 value) { }
static __attribute__((device)) __inline__ void __stwt(double2 *ptr, double2 value) { }
# 460 "/usr/include/sm_32_intrinsics.h" 3 4
static __attribute__((device)) __inline__ unsigned int __funnelshift_l(unsigned int lo, unsigned int hi, unsigned int shift) { }
# 472 "/usr/include/sm_32_intrinsics.h" 3 4
static __attribute__((device)) __inline__ unsigned int __funnelshift_lc(unsigned int lo, unsigned int hi, unsigned int shift) { }
# 485 "/usr/include/sm_32_intrinsics.h" 3 4
static __attribute__((device)) __inline__ unsigned int __funnelshift_r(unsigned int lo, unsigned int hi, unsigned int shift) { }
# 497 "/usr/include/sm_32_intrinsics.h" 3 4
static __attribute__((device)) __inline__ unsigned int __funnelshift_rc(unsigned int lo, unsigned int hi, unsigned int shift) { }
# 3297 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_35_intrinsics.h" 1 3 4
# 111 "/usr/include/sm_35_intrinsics.h" 3 4
# 1 "/usr/include/sm_32_intrinsics.h" 1 3 4
# 112 "/usr/include/sm_35_intrinsics.h" 2 3 4
# 3298 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/sm_61_intrinsics.h" 1 3 4
# 89 "/usr/include/sm_61_intrinsics.h" 3 4
static __attribute__((device)) __inline__ int __dp2a_lo(int srcA, int srcB, int c) { }
static __attribute__((device)) __inline__ unsigned int __dp2a_lo(unsigned int srcA, unsigned int srcB, unsigned int c) { }

static __attribute__((device)) __inline__ int __dp2a_lo(short2 srcA, char4 srcB, int c) { }
static __attribute__((device)) __inline__ unsigned int __dp2a_lo(ushort2 srcA, uchar4 srcB, unsigned int c) { }

static __attribute__((device)) __inline__ int __dp2a_hi(int srcA, int srcB, int c) { }
static __attribute__((device)) __inline__ unsigned int __dp2a_hi(unsigned int srcA, unsigned int srcB, unsigned int c) { }

static __attribute__((device)) __inline__ int __dp2a_hi(short2 srcA, char4 srcB, int c) { }
static __attribute__((device)) __inline__ unsigned int __dp2a_hi(ushort2 srcA, uchar4 srcB, unsigned int c) { }






static __attribute__((device)) __inline__ int __dp4a(int srcA, int srcB, int c) { }
static __attribute__((device)) __inline__ unsigned int __dp4a(unsigned int srcA, unsigned int srcB, unsigned int c) { }

static __attribute__((device)) __inline__ int __dp4a(char4 srcA, char4 srcB, int c) { }
static __attribute__((device)) __inline__ unsigned int __dp4a(uchar4 srcA, uchar4 srcB, unsigned int c) { }
# 3299 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/crt/sm_70_rt.h" 1 3 4
# 79 "/usr/include/crt/sm_70_rt.h" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 80 "/usr/include/crt/sm_70_rt.h" 2 3 4

# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 82 "/usr/include/crt/sm_70_rt.h" 2 3 4
# 93 "/usr/include/crt/sm_70_rt.h" 3 4
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, unsigned value) { }
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, int value) { }
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, unsigned long value) { }
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, long value) { }
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, unsigned long long value) { }
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, long long value) { }
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, float value) { }
static __attribute__((device)) __inline__ unsigned int __match_any_sync(unsigned mask, double value) { }

static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, unsigned value, int *pred) { }
static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, int value, int *pred) { }
static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, unsigned long value, int *pred) { }
static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, long value, int *pred) { }
static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, unsigned long long value, int *pred) { }
static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, long long value, int *pred) { }
static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, float value, int *pred) { }
static __attribute__((device)) __inline__ unsigned int __match_all_sync(unsigned mask, double value, int *pred) { }

static __attribute__((device)) __inline__ void __nanosleep(unsigned int ns) { }

static __attribute__((device)) __inline__ unsigned short int atomicCAS(unsigned short int *address, unsigned short int compare, unsigned short int val) { }
# 3300 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/crt/sm_80_rt.h" 1 3 4
# 79 "/usr/include/crt/sm_80_rt.h" 3 4
# 1 "/usr/include/builtin_types.h" 1 3 4
# 80 "/usr/include/crt/sm_80_rt.h" 2 3 4

# 1 "/usr/include/crt/host_defines.h" 1 3 4
# 82 "/usr/include/crt/sm_80_rt.h" 2 3 4
# 93 "/usr/include/crt/sm_80_rt.h" 3 4
static __attribute__((device)) __inline__ unsigned __reduce_add_sync(unsigned mask, unsigned value) { }
static __attribute__((device)) __inline__ unsigned __reduce_min_sync(unsigned mask, unsigned value) { }
static __attribute__((device)) __inline__ unsigned __reduce_max_sync(unsigned mask, unsigned value) { }

static __attribute__((device)) __inline__ int __reduce_add_sync(unsigned mask, int value) { }
static __attribute__((device)) __inline__ int __reduce_min_sync(unsigned mask, int value) { }
static __attribute__((device)) __inline__ int __reduce_max_sync(unsigned mask, int value) { }

static __attribute__((device)) __inline__ unsigned __reduce_and_sync(unsigned mask, unsigned value) { }
static __attribute__((device)) __inline__ unsigned __reduce_or_sync(unsigned mask, unsigned value) { }
static __attribute__((device)) __inline__ unsigned __reduce_xor_sync(unsigned mask, unsigned value) { }


extern "C" {
inline __attribute__((device)) void *__nv_associate_access_property(const void *ptr,
                                                       unsigned long long property) {
  extern __attribute__((device)) void *__nv_associate_access_property_impl(const void *,
                                                              unsigned long long);
  return __nv_associate_access_property_impl(ptr, property);
}

inline __attribute__((device)) void __nv_memcpy_async_shared_global_4(void *dst,
                                                          const void *src,
                                                          unsigned src_size) {
  extern __attribute__((device)) void __nv_memcpy_async_shared_global_4_impl(void *,
                                                                const void *,
                                                                unsigned);
  __nv_memcpy_async_shared_global_4_impl(dst, src, src_size);
}

inline __attribute__((device)) void __nv_memcpy_async_shared_global_8(void *dst,
                                                          const void *src,
                                                          unsigned src_size) {
  extern __attribute__((device)) void __nv_memcpy_async_shared_global_8_impl(void *,
                                                                const void *,
                                                                unsigned);
  __nv_memcpy_async_shared_global_8_impl(dst, src, src_size);
}

inline __attribute__((device)) void __nv_memcpy_async_shared_global_16(void *dst,
                                                          const void *src,
                                                          unsigned src_size) {
  extern __attribute__((device)) void __nv_memcpy_async_shared_global_16_impl(void *,
                                                                const void *,
                                                                unsigned);
  __nv_memcpy_async_shared_global_16_impl(dst, src, src_size);
}

}
# 3301 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/surface_functions.h" 1 3 4
# 122 "/usr/include/surface_functions.h" 3 4
template <typename T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1Dread(T *res, surface<void, 0x01> surf, int x, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) T surf1Dread(surface<void, 0x01> surf, int x, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{





}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1Dread(T *res, surface<void, 0x01> surf, int x, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template <typename T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2Dread(T *res, surface<void, 0x02> surf, int x, int y, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) T surf2Dread(surface<void, 0x02> surf, int x, int y, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{





}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2Dread(T *res, surface<void, 0x02> surf, int x, int y, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template <typename T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf3Dread(T *res, surface<void, 0x03> surf, int x, int y, int z, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) T surf3Dread(surface<void, 0x03> surf, int x, int y, int z, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{





}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf3Dread(T *res, surface<void, 0x03> surf, int x, int y, int z, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}



template <typename T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1DLayeredread(T *res, surface<void, 0xF1> surf, int x, int layer, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) T surf1DLayeredread(surface<void, 0xF1> surf, int x, int layer, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{





}


template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1DLayeredread(T *res, surface<void, 0xF1> surf, int x, int layer, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template <typename T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2DLayeredread(T *res, surface<void, 0xF2> surf, int x, int y, int layer, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) T surf2DLayeredread(surface<void, 0xF2> surf, int x, int y, int layer, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{





}


template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2DLayeredread(T *res, surface<void, 0xF2> surf, int x, int y, int layer, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template <typename T>
static __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapread(T *res, surface<void, 0x0C> surf, int x, int y, int face, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) T surfCubemapread(surface<void, 0x0C> surf, int x, int y, int face, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{






}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapread(T *res, surface<void, 0x0C> surf, int x, int y, int face, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template <typename T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapLayeredread(T *res, surface<void, 0xFC> surf, int x, int y, int layerFace, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) T surfCubemapLayeredread(surface<void, 0xFC> surf, int x, int y, int layerFace, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{





}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapLayeredread(T *res, surface<void, 0xFC> surf, int x, int y, int layerFace, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1Dwrite(T val, surface<void, 0x01> surf, int x, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1Dwrite(T val, surface<void, 0x01> surf, int x, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}



template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2Dwrite(T val, surface<void, 0x02> surf, int x, int y, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2Dwrite(T val, surface<void, 0x02> surf, int x, int y, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf3Dwrite(T val, surface<void, 0x03> surf, int x, int y, int z, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf3Dwrite(T val, surface<void, 0x03> surf, int x, int y, int z, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1DLayeredwrite(T val, surface<void, 0xF1> surf, int x, int layer, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf1DLayeredwrite(T val, surface<void, 0xF1> surf, int x, int layer, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2DLayeredwrite(T val, surface<void, 0xF2> surf, int x, int y, int layer, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surf2DLayeredwrite(T val, surface<void, 0xF2> surf, int x, int y, int layer, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}


template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapwrite(T val, surface<void, 0x0C> surf, int x, int y, int face, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapwrite(T val, surface<void, 0x0C> surf, int x, int y, int face, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}



template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapLayeredwrite(T val, surface<void, 0xFC> surf, int x, int y, int layerFace, int s, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template<class T>
static __attribute__((deprecated)) __attribute__((device)) __inline__ __attribute__((always_inline)) void surfCubemapLayeredwrite(T val, surface<void, 0xFC> surf, int x, int y, int layerFace, enum cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}
# 3302 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/texture_fetch_functions.h" 1 3 4
# 72 "/usr/include/texture_fetch_functions.h" 3 4
template <typename T>
struct __nv_tex_rmet_ret { };

template<> struct __nv_tex_rmet_ret<char> { typedef char type; };
template<> struct __nv_tex_rmet_ret<signed char> { typedef signed char type; };
template<> struct __nv_tex_rmet_ret<unsigned char> { typedef unsigned char type; };
template<> struct __nv_tex_rmet_ret<char1> { typedef char1 type; };
template<> struct __nv_tex_rmet_ret<uchar1> { typedef uchar1 type; };
template<> struct __nv_tex_rmet_ret<char2> { typedef char2 type; };
template<> struct __nv_tex_rmet_ret<uchar2> { typedef uchar2 type; };
template<> struct __nv_tex_rmet_ret<char4> { typedef char4 type; };
template<> struct __nv_tex_rmet_ret<uchar4> { typedef uchar4 type; };

template<> struct __nv_tex_rmet_ret<short> { typedef short type; };
template<> struct __nv_tex_rmet_ret<unsigned short> { typedef unsigned short type; };
template<> struct __nv_tex_rmet_ret<short1> { typedef short1 type; };
template<> struct __nv_tex_rmet_ret<ushort1> { typedef ushort1 type; };
template<> struct __nv_tex_rmet_ret<short2> { typedef short2 type; };
template<> struct __nv_tex_rmet_ret<ushort2> { typedef ushort2 type; };
template<> struct __nv_tex_rmet_ret<short4> { typedef short4 type; };
template<> struct __nv_tex_rmet_ret<ushort4> { typedef ushort4 type; };

template<> struct __nv_tex_rmet_ret<int> { typedef int type; };
template<> struct __nv_tex_rmet_ret<unsigned int> { typedef unsigned int type; };
template<> struct __nv_tex_rmet_ret<int1> { typedef int1 type; };
template<> struct __nv_tex_rmet_ret<uint1> { typedef uint1 type; };
template<> struct __nv_tex_rmet_ret<int2> { typedef int2 type; };
template<> struct __nv_tex_rmet_ret<uint2> { typedef uint2 type; };
template<> struct __nv_tex_rmet_ret<int4> { typedef int4 type; };
template<> struct __nv_tex_rmet_ret<uint4> { typedef uint4 type; };
# 113 "/usr/include/texture_fetch_functions.h" 3 4
template<> struct __nv_tex_rmet_ret<float> { typedef float type; };
template<> struct __nv_tex_rmet_ret<float1> { typedef float1 type; };
template<> struct __nv_tex_rmet_ret<float2> { typedef float2 type; };
template<> struct __nv_tex_rmet_ret<float4> { typedef float4 type; };


template <typename T> struct __nv_tex_rmet_cast { typedef T* type; };
# 131 "/usr/include/texture_fetch_functions.h" 3 4
template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex1Dfetch(texture<T, 0x01, cudaReadModeElementType> t, int x)
{





}

template <typename T>
struct __nv_tex_rmnf_ret { };

template <> struct __nv_tex_rmnf_ret<char> { typedef float type; };
template <> struct __nv_tex_rmnf_ret<signed char> { typedef float type; };
template <> struct __nv_tex_rmnf_ret<unsigned char> { typedef float type; };
template <> struct __nv_tex_rmnf_ret<short> { typedef float type; };
template <> struct __nv_tex_rmnf_ret<unsigned short> { typedef float type; };
template <> struct __nv_tex_rmnf_ret<char1> { typedef float1 type; };
template <> struct __nv_tex_rmnf_ret<uchar1> { typedef float1 type; };
template <> struct __nv_tex_rmnf_ret<short1> { typedef float1 type; };
template <> struct __nv_tex_rmnf_ret<ushort1> { typedef float1 type; };
template <> struct __nv_tex_rmnf_ret<char2> { typedef float2 type; };
template <> struct __nv_tex_rmnf_ret<uchar2> { typedef float2 type; };
template <> struct __nv_tex_rmnf_ret<short2> { typedef float2 type; };
template <> struct __nv_tex_rmnf_ret<ushort2> { typedef float2 type; };
template <> struct __nv_tex_rmnf_ret<char4> { typedef float4 type; };
template <> struct __nv_tex_rmnf_ret<uchar4> { typedef float4 type; };
template <> struct __nv_tex_rmnf_ret<short4> { typedef float4 type; };
template <> struct __nv_tex_rmnf_ret<ushort4> { typedef float4 type; };

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex1Dfetch(texture<T, 0x01, cudaReadModeNormalizedFloat> t, int x)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex1D(texture<T, 0x01, cudaReadModeElementType> t, float x)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex1D(texture<T, 0x01, cudaReadModeNormalizedFloat> t, float x)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex2D(texture<T, 0x02, cudaReadModeElementType> t, float x, float y)
{






}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex2D(texture<T, 0x02, cudaReadModeNormalizedFloat> t, float x, float y)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex1DLayered(texture<T, 0xF1, cudaReadModeElementType> t, float x, int layer)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex1DLayered(texture<T, 0xF1, cudaReadModeNormalizedFloat> t, float x, int layer)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex2DLayered(texture<T, 0xF2, cudaReadModeElementType> t, float x, float y, int layer)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex2DLayered(texture<T, 0xF2, cudaReadModeNormalizedFloat> t, float x, float y, int layer)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex3D(texture<T, 0x03, cudaReadModeElementType> t, float x, float y, float z)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex3D(texture<T, 0x03, cudaReadModeNormalizedFloat> t, float x, float y, float z)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type texCubemap(texture<T, 0x0C, cudaReadModeElementType> t, float x, float y, float z)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type texCubemap(texture<T, 0x0C, cudaReadModeNormalizedFloat> t, float x, float y, float z)
{






}


template <typename T>
struct __nv_tex2dgather_ret { };
template <> struct __nv_tex2dgather_ret<char> { typedef char4 type; };
template <> struct __nv_tex2dgather_ret<signed char> { typedef char4 type; };
template <> struct __nv_tex2dgather_ret<char1> { typedef char4 type; };
template <> struct __nv_tex2dgather_ret<char2> { typedef char4 type; };
template <> struct __nv_tex2dgather_ret<char3> { typedef char4 type; };
template <> struct __nv_tex2dgather_ret<char4> { typedef char4 type; };
template <> struct __nv_tex2dgather_ret<unsigned char> { typedef uchar4 type; };
template <> struct __nv_tex2dgather_ret<uchar1> { typedef uchar4 type; };
template <> struct __nv_tex2dgather_ret<uchar2> { typedef uchar4 type; };
template <> struct __nv_tex2dgather_ret<uchar3> { typedef uchar4 type; };
template <> struct __nv_tex2dgather_ret<uchar4> { typedef uchar4 type; };

template <> struct __nv_tex2dgather_ret<short> { typedef short4 type; };
template <> struct __nv_tex2dgather_ret<short1> { typedef short4 type; };
template <> struct __nv_tex2dgather_ret<short2> { typedef short4 type; };
template <> struct __nv_tex2dgather_ret<short3> { typedef short4 type; };
template <> struct __nv_tex2dgather_ret<short4> { typedef short4 type; };
template <> struct __nv_tex2dgather_ret<unsigned short> { typedef ushort4 type; };
template <> struct __nv_tex2dgather_ret<ushort1> { typedef ushort4 type; };
template <> struct __nv_tex2dgather_ret<ushort2> { typedef ushort4 type; };
template <> struct __nv_tex2dgather_ret<ushort3> { typedef ushort4 type; };
template <> struct __nv_tex2dgather_ret<ushort4> { typedef ushort4 type; };

template <> struct __nv_tex2dgather_ret<int> { typedef int4 type; };
template <> struct __nv_tex2dgather_ret<int1> { typedef int4 type; };
template <> struct __nv_tex2dgather_ret<int2> { typedef int4 type; };
template <> struct __nv_tex2dgather_ret<int3> { typedef int4 type; };
template <> struct __nv_tex2dgather_ret<int4> { typedef int4 type; };
template <> struct __nv_tex2dgather_ret<unsigned int> { typedef uint4 type; };
template <> struct __nv_tex2dgather_ret<uint1> { typedef uint4 type; };
template <> struct __nv_tex2dgather_ret<uint2> { typedef uint4 type; };
template <> struct __nv_tex2dgather_ret<uint3> { typedef uint4 type; };
template <> struct __nv_tex2dgather_ret<uint4> { typedef uint4 type; };

template <> struct __nv_tex2dgather_ret<float> { typedef float4 type; };
template <> struct __nv_tex2dgather_ret<float1> { typedef float4 type; };
template <> struct __nv_tex2dgather_ret<float2> { typedef float4 type; };
template <> struct __nv_tex2dgather_ret<float3> { typedef float4 type; };
template <> struct __nv_tex2dgather_ret<float4> { typedef float4 type; };

template <typename T>
static __attribute__((device)) __inline__ __attribute__((always_inline)) typename __nv_tex2dgather_ret<T>::type tex2Dgather(texture<T, 0x02, cudaReadModeElementType> t, float x, float y, int comp=0)
{






}


template<typename T> struct __nv_tex2dgather_rmnf_ret { };
template<> struct __nv_tex2dgather_rmnf_ret<char> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<signed char> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<unsigned char> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<char1> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<uchar1> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<char2> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<uchar2> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<char3> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<uchar3> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<char4> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<uchar4> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<signed short> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<unsigned short> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<short1> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<ushort1> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<short2> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<ushort2> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<short3> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<ushort3> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<short4> { typedef float4 type; };
template<> struct __nv_tex2dgather_rmnf_ret<ushort4> { typedef float4 type; };

template <typename T>
static __attribute__((device)) __inline__ __attribute__((always_inline)) typename __nv_tex2dgather_rmnf_ret<T>::type tex2Dgather(texture<T, 0x02, cudaReadModeNormalizedFloat> t, float x, float y, int comp = 0)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex1DLod(texture<T, 0x01, cudaReadModeElementType> t, float x, float level)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex1DLod(texture<T, 0x01, cudaReadModeNormalizedFloat> t, float x, float level)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex2DLod(texture<T, 0x02, cudaReadModeElementType> t, float x, float y, float level)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex2DLod(texture<T, 0x02, cudaReadModeNormalizedFloat> t, float x, float y, float level)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex1DLayeredLod(texture<T, 0xF1, cudaReadModeElementType> t, float x, int layer, float level)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex1DLayeredLod(texture<T, 0xF1, cudaReadModeNormalizedFloat> t, float x, int layer, float level)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex2DLayeredLod(texture<T, 0xF2, cudaReadModeElementType> t, float x, float y, int layer, float level)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex2DLayeredLod(texture<T, 0xF2, cudaReadModeNormalizedFloat> t, float x, float y, int layer, float level)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex3DLod(texture<T, 0x03, cudaReadModeElementType> t, float x, float y, float z, float level)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex3DLod(texture<T, 0x03, cudaReadModeNormalizedFloat> t, float x, float y, float z, float level)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type texCubemapLod(texture<T, 0x0C, cudaReadModeElementType> t, float x, float y, float z, float level)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type texCubemapLod(texture<T, 0x0C, cudaReadModeNormalizedFloat> t, float x, float y, float z, float level)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type texCubemapLayered(texture<T, 0xFC, cudaReadModeElementType> t, float x, float y, float z, int layer)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type texCubemapLayered(texture<T, 0xFC, cudaReadModeNormalizedFloat> t, float x, float y, float z, int layer)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type texCubemapLayeredLod(texture<T, 0xFC, cudaReadModeElementType> t, float x, float y, float z, int layer, float level)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type texCubemapLayeredLod(texture<T, 0xFC, cudaReadModeNormalizedFloat> t, float x, float y, float z, int layer, float level)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type texCubemapGrad(texture<T, 0x0C, cudaReadModeElementType> t, float x, float y, float z, float4 dPdx, float4 dPdy)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type texCubemapGrad(texture<T, 0x0C, cudaReadModeNormalizedFloat> t, float x, float y, float z, float4 dPdx, float4 dPdy)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type texCubemapLayeredGrad(texture<T, 0xFC, cudaReadModeElementType> t, float x, float y, float z, int layer, float4 dPdx, float4 dPdy)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type texCubemapLayeredGrad(texture<T, 0xFC, cudaReadModeNormalizedFloat> t, float x, float y, float z, int layer, float4 dPdx, float4 dPdy)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex1DGrad(texture<T, 0x01, cudaReadModeElementType> t, float x, float dPdx, float dPdy)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex1DGrad(texture<T, 0x01, cudaReadModeNormalizedFloat> t, float x, float dPdx, float dPdy)
{






}



template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex2DGrad(texture<T, 0x02, cudaReadModeElementType> t, float x, float y, float2 dPdx, float2 dPdy)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex2DGrad(texture<T, 0x02, cudaReadModeNormalizedFloat> t, float x, float y, float2 dPdx, float2 dPdy)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex1DLayeredGrad(texture<T, 0xF1, cudaReadModeElementType> t, float x, int layer, float dPdx, float dPdy)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex1DLayeredGrad(texture<T, 0xF1, cudaReadModeNormalizedFloat> t, float x, int layer, float dPdx, float dPdy)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex2DLayeredGrad(texture<T, 0xF2, cudaReadModeElementType> t, float x, float y, int layer, float2 dPdx, float2 dPdy)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex2DLayeredGrad(texture<T, 0xF2, cudaReadModeNormalizedFloat> t, float x, float y, int layer, float2 dPdx, float2 dPdy)
{






}


template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmet_ret<T>::type tex3DGrad(texture<T, 0x03, cudaReadModeElementType> t, float x, float y, float z, float4 dPdx, float4 dPdy)
{





}

template <typename T>
static __attribute__((deprecated)) __inline__ __attribute__((always_inline)) __attribute__((device)) typename __nv_tex_rmnf_ret<T>::type tex3DGrad(texture<T, 0x03, cudaReadModeNormalizedFloat> t, float x, float y, float z, float4 dPdx, float4 dPdy)
{






}
# 3303 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/texture_indirect_functions.h" 1 3 4
# 64 "/usr/include/texture_indirect_functions.h" 3 4
template <typename T> struct __nv_itex_trait { };
template<> struct __nv_itex_trait<char> { typedef void type; };
template<> struct __nv_itex_trait<signed char> { typedef void type; };
template<> struct __nv_itex_trait<char1> { typedef void type; };
template<> struct __nv_itex_trait<char2> { typedef void type; };
template<> struct __nv_itex_trait<char4> { typedef void type; };
template<> struct __nv_itex_trait<unsigned char> { typedef void type; };
template<> struct __nv_itex_trait<uchar1> { typedef void type; };
template<> struct __nv_itex_trait<uchar2> { typedef void type; };
template<> struct __nv_itex_trait<uchar4> { typedef void type; };
template<> struct __nv_itex_trait<short> { typedef void type; };
template<> struct __nv_itex_trait<short1> { typedef void type; };
template<> struct __nv_itex_trait<short2> { typedef void type; };
template<> struct __nv_itex_trait<short4> { typedef void type; };
template<> struct __nv_itex_trait<unsigned short> { typedef void type; };
template<> struct __nv_itex_trait<ushort1> { typedef void type; };
template<> struct __nv_itex_trait<ushort2> { typedef void type; };
template<> struct __nv_itex_trait<ushort4> { typedef void type; };
template<> struct __nv_itex_trait<int> { typedef void type; };
template<> struct __nv_itex_trait<int1> { typedef void type; };
template<> struct __nv_itex_trait<int2> { typedef void type; };
template<> struct __nv_itex_trait<int4> { typedef void type; };
template<> struct __nv_itex_trait<unsigned int> { typedef void type; };
template<> struct __nv_itex_trait<uint1> { typedef void type; };
template<> struct __nv_itex_trait<uint2> { typedef void type; };
template<> struct __nv_itex_trait<uint4> { typedef void type; };
# 100 "/usr/include/texture_indirect_functions.h" 3 4
template<> struct __nv_itex_trait<float> { typedef void type; };
template<> struct __nv_itex_trait<float1> { typedef void type; };
template<> struct __nv_itex_trait<float2> { typedef void type; };
template<> struct __nv_itex_trait<float4> { typedef void type; };



template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex1Dfetch(T *ptr, cudaTextureObject_t obj, int x)
{



}

template <class T>
static __attribute__((device)) T tex1Dfetch(cudaTextureObject_t texObject, int x)
{





}

template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex1D(T *ptr, cudaTextureObject_t obj, float x)
{



}


template <class T>
static __attribute__((device)) T tex1D(cudaTextureObject_t texObject, float x)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2D(T *ptr, cudaTextureObject_t obj, float x, float y)
{



}

template <class T>
static __attribute__((device)) T tex2D(cudaTextureObject_t texObject, float x, float y)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2D(T *ptr, cudaTextureObject_t obj, float x, float y,
                                                          bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex2D(cudaTextureObject_t texObject, float x, float y, bool* isResident)
{





}




template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex3D(T *ptr, cudaTextureObject_t obj, float x, float y, float z)
{



}

template <class T>
static __attribute__((device)) T tex3D(cudaTextureObject_t texObject, float x, float y, float z)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex3D(T *ptr, cudaTextureObject_t obj, float x, float y, float z,
                                                          bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex3D(cudaTextureObject_t texObject, float x, float y, float z, bool* isResident)
{





}



template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex1DLayered(T *ptr, cudaTextureObject_t obj, float x, int layer)
{



}

template <class T>
static __attribute__((device)) T tex1DLayered(cudaTextureObject_t texObject, float x, int layer)
{





}

template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLayered(T *ptr, cudaTextureObject_t obj, float x, float y, int layer)
{



}

template <class T>
static __attribute__((device)) T tex2DLayered(cudaTextureObject_t texObject, float x, float y, int layer)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLayered(T *ptr, cudaTextureObject_t obj, float x, float y, int layer, bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex2DLayered(cudaTextureObject_t texObject, float x, float y, int layer, bool* isResident)
{





}



template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type texCubemap(T *ptr, cudaTextureObject_t obj, float x, float y, float z)
{



}


template <class T>
static __attribute__((device)) T texCubemap(cudaTextureObject_t texObject, float x, float y, float z)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type texCubemapLayered(T *ptr, cudaTextureObject_t obj, float x, float y, float z, int layer)
{



}

template <class T>
static __attribute__((device)) T texCubemapLayered(cudaTextureObject_t texObject, float x, float y, float z, int layer)
{





}

template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2Dgather(T *ptr, cudaTextureObject_t obj, float x, float y, int comp = 0)
{



}

template <class T>
static __attribute__((device)) T tex2Dgather(cudaTextureObject_t to, float x, float y, int comp = 0)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2Dgather(T *ptr, cudaTextureObject_t obj, float x, float y, bool* isResident, int comp = 0)
{





}

template <class T>
static __attribute__((device)) T tex2Dgather(cudaTextureObject_t to, float x, float y, bool* isResident, int comp = 0)
{





}



template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex1DLod(T *ptr, cudaTextureObject_t obj, float x, float level)
{



}

template <class T>
static __attribute__((device)) T tex1DLod(cudaTextureObject_t texObject, float x, float level)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLod(T *ptr, cudaTextureObject_t obj, float x, float y, float level)
{



}

template <class T>
static __attribute__((device)) T tex2DLod(cudaTextureObject_t texObject, float x, float y, float level)
{





}



template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLod(T *ptr, cudaTextureObject_t obj, float x, float y, float level, bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex2DLod(cudaTextureObject_t texObject, float x, float y, float level, bool* isResident)
{





}




template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex3DLod(T *ptr, cudaTextureObject_t obj, float x, float y, float z, float level)
{



}

template <class T>
static __attribute__((device)) T tex3DLod(cudaTextureObject_t texObject, float x, float y, float z, float level)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex3DLod(T *ptr, cudaTextureObject_t obj, float x, float y, float z, float level, bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex3DLod(cudaTextureObject_t texObject, float x, float y, float z, float level, bool* isResident)
{





}




template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex1DLayeredLod(T *ptr, cudaTextureObject_t obj, float x, int layer, float level)
{



}

template <class T>
static __attribute__((device)) T tex1DLayeredLod(cudaTextureObject_t texObject, float x, int layer, float level)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLayeredLod(T *ptr, cudaTextureObject_t obj, float x, float y, int layer, float level)
{



}

template <class T>
static __attribute__((device)) T tex2DLayeredLod(cudaTextureObject_t texObject, float x, float y, int layer, float level)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLayeredLod(T *ptr, cudaTextureObject_t obj, float x, float y, int layer, float level, bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex2DLayeredLod(cudaTextureObject_t texObject, float x, float y, int layer, float level, bool* isResident)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type texCubemapLod(T *ptr, cudaTextureObject_t obj, float x, float y, float z, float level)
{



}

template <class T>
static __attribute__((device)) T texCubemapLod(cudaTextureObject_t texObject, float x, float y, float z, float level)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type texCubemapGrad(T *ptr, cudaTextureObject_t obj, float x, float y, float z, float4 dPdx, float4 dPdy)
{



}

template <class T>
static __attribute__((device)) T texCubemapGrad(cudaTextureObject_t texObject, float x, float y, float z, float4 dPdx, float4 dPdy)
{





}

template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type texCubemapLayeredLod(T *ptr, cudaTextureObject_t obj, float x, float y, float z, int layer, float level)
{



}

template <class T>
static __attribute__((device)) T texCubemapLayeredLod(cudaTextureObject_t texObject, float x, float y, float z, int layer, float level)
{





}

template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex1DGrad(T *ptr, cudaTextureObject_t obj, float x, float dPdx, float dPdy)
{



}

template <class T>
static __attribute__((device)) T tex1DGrad(cudaTextureObject_t texObject, float x, float dPdx, float dPdy)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DGrad(T *ptr, cudaTextureObject_t obj, float x, float y, float2 dPdx, float2 dPdy)
{




}

template <class T>
static __attribute__((device)) T tex2DGrad(cudaTextureObject_t texObject, float x, float y, float2 dPdx, float2 dPdy)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DGrad(T *ptr, cudaTextureObject_t obj, float x, float y, float2 dPdx, float2 dPdy, bool* isResident)
{






}

template <class T>
static __attribute__((device)) T tex2DGrad(cudaTextureObject_t texObject, float x, float y, float2 dPdx, float2 dPdy, bool* isResident)
{





}



template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex3DGrad(T *ptr, cudaTextureObject_t obj, float x, float y, float z, float4 dPdx, float4 dPdy)
{



}

template <class T>
static __attribute__((device)) T tex3DGrad(cudaTextureObject_t texObject, float x, float y, float z, float4 dPdx, float4 dPdy)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex3DGrad(T *ptr, cudaTextureObject_t obj, float x, float y, float z, float4 dPdx, float4 dPdy, bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex3DGrad(cudaTextureObject_t texObject, float x, float y, float z, float4 dPdx, float4 dPdy, bool* isResident)
{





}




template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex1DLayeredGrad(T *ptr, cudaTextureObject_t obj, float x, int layer, float dPdx, float dPdy)
{



}

template <class T>
static __attribute__((device)) T tex1DLayeredGrad(cudaTextureObject_t texObject, float x, int layer, float dPdx, float dPdy)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLayeredGrad(T * ptr, cudaTextureObject_t obj, float x, float y, int layer, float2 dPdx, float2 dPdy)
{



}

template <class T>
static __attribute__((device)) T tex2DLayeredGrad(cudaTextureObject_t texObject, float x, float y, int layer, float2 dPdx, float2 dPdy)
{





}


template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type tex2DLayeredGrad(T * ptr, cudaTextureObject_t obj, float x, float y, int layer, float2 dPdx, float2 dPdy, bool* isResident)
{





}

template <class T>
static __attribute__((device)) T tex2DLayeredGrad(cudaTextureObject_t texObject, float x, float y, int layer, float2 dPdx, float2 dPdy, bool* isResident)
{





}



template <typename T>
static __attribute__((device)) typename __nv_itex_trait<T>::type texCubemapLayeredGrad(T *ptr, cudaTextureObject_t obj, float x, float y, float z, int layer, float4 dPdx, float4 dPdy)
{



}

template <class T>
static __attribute__((device)) T texCubemapLayeredGrad(cudaTextureObject_t texObject, float x, float y, float z, int layer, float4 dPdx, float4 dPdy)
{





}
# 3304 "/usr/include/crt/device_functions.h" 2 3 4
# 1 "/usr/include/surface_indirect_functions.h" 1 3 4
# 59 "/usr/include/surface_indirect_functions.h" 3 4
template<typename T> struct __nv_isurf_trait { };
template<> struct __nv_isurf_trait<char> { typedef void type; };
template<> struct __nv_isurf_trait<signed char> { typedef void type; };
template<> struct __nv_isurf_trait<char1> { typedef void type; };
template<> struct __nv_isurf_trait<unsigned char> { typedef void type; };
template<> struct __nv_isurf_trait<uchar1> { typedef void type; };
template<> struct __nv_isurf_trait<short> { typedef void type; };
template<> struct __nv_isurf_trait<short1> { typedef void type; };
template<> struct __nv_isurf_trait<unsigned short> { typedef void type; };
template<> struct __nv_isurf_trait<ushort1> { typedef void type; };
template<> struct __nv_isurf_trait<int> { typedef void type; };
template<> struct __nv_isurf_trait<int1> { typedef void type; };
template<> struct __nv_isurf_trait<unsigned int> { typedef void type; };
template<> struct __nv_isurf_trait<uint1> { typedef void type; };
template<> struct __nv_isurf_trait<long long> { typedef void type; };
template<> struct __nv_isurf_trait<longlong1> { typedef void type; };
template<> struct __nv_isurf_trait<unsigned long long> { typedef void type; };
template<> struct __nv_isurf_trait<ulonglong1> { typedef void type; };
template<> struct __nv_isurf_trait<float> { typedef void type; };
template<> struct __nv_isurf_trait<float1> { typedef void type; };

template<> struct __nv_isurf_trait<char2> { typedef void type; };
template<> struct __nv_isurf_trait<uchar2> { typedef void type; };
template<> struct __nv_isurf_trait<short2> { typedef void type; };
template<> struct __nv_isurf_trait<ushort2> { typedef void type; };
template<> struct __nv_isurf_trait<int2> { typedef void type; };
template<> struct __nv_isurf_trait<uint2> { typedef void type; };
template<> struct __nv_isurf_trait<longlong2> { typedef void type; };
template<> struct __nv_isurf_trait<ulonglong2> { typedef void type; };
template<> struct __nv_isurf_trait<float2> { typedef void type; };

template<> struct __nv_isurf_trait<char4> { typedef void type; };
template<> struct __nv_isurf_trait<uchar4> { typedef void type; };
template<> struct __nv_isurf_trait<short4> { typedef void type; };
template<> struct __nv_isurf_trait<ushort4> { typedef void type; };
template<> struct __nv_isurf_trait<int4> { typedef void type; };
template<> struct __nv_isurf_trait<uint4> { typedef void type; };
template<> struct __nv_isurf_trait<float4> { typedef void type; };


template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf1Dread(T *ptr, cudaSurfaceObject_t obj, int x, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <class T>
static __attribute__((device)) T surf1Dread(cudaSurfaceObject_t surfObject, int x, cudaSurfaceBoundaryMode boundaryMode = cudaBoundaryModeTrap)
{





}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf2Dread(T *ptr, cudaSurfaceObject_t obj, int x, int y, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <class T>
static __attribute__((device)) T surf2Dread(cudaSurfaceObject_t surfObject, int x, int y, cudaSurfaceBoundaryMode boundaryMode = cudaBoundaryModeTrap)
{





}


template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf3Dread(T *ptr, cudaSurfaceObject_t obj, int x, int y, int z, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <class T>
static __attribute__((device)) T surf3Dread(cudaSurfaceObject_t surfObject, int x, int y, int z, cudaSurfaceBoundaryMode boundaryMode = cudaBoundaryModeTrap)
{





}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf1DLayeredread(T *ptr, cudaSurfaceObject_t obj, int x, int layer, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <class T>
static __attribute__((device)) T surf1DLayeredread(cudaSurfaceObject_t surfObject, int x, int layer, cudaSurfaceBoundaryMode boundaryMode = cudaBoundaryModeTrap)
{





}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf2DLayeredread(T *ptr, cudaSurfaceObject_t obj, int x, int y, int layer, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <class T>
static __attribute__((device)) T surf2DLayeredread(cudaSurfaceObject_t surfObject, int x, int y, int layer, cudaSurfaceBoundaryMode boundaryMode = cudaBoundaryModeTrap)
{





}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surfCubemapread(T *ptr, cudaSurfaceObject_t obj, int x, int y, int face, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <class T>
static __attribute__((device)) T surfCubemapread(cudaSurfaceObject_t surfObject, int x, int y, int face, cudaSurfaceBoundaryMode boundaryMode = cudaBoundaryModeTrap)
{





}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surfCubemapLayeredread(T *ptr, cudaSurfaceObject_t obj, int x, int y, int layerface, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <class T>
static __attribute__((device)) T surfCubemapLayeredread(cudaSurfaceObject_t surfObject, int x, int y, int layerface, cudaSurfaceBoundaryMode boundaryMode = cudaBoundaryModeTrap)
{





}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf1Dwrite(T val, cudaSurfaceObject_t obj, int x, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf2Dwrite(T val, cudaSurfaceObject_t obj, int x, int y, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf3Dwrite(T val, cudaSurfaceObject_t obj, int x, int y, int z, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf1DLayeredwrite(T val, cudaSurfaceObject_t obj, int x, int layer, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surf2DLayeredwrite(T val, cudaSurfaceObject_t obj, int x, int y, int layer, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surfCubemapwrite(T val, cudaSurfaceObject_t obj, int x, int y, int face, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}

template <typename T>
static __attribute__((device)) typename __nv_isurf_trait<T>::type surfCubemapLayeredwrite(T val, cudaSurfaceObject_t obj, int x, int y, int layerface, cudaSurfaceBoundaryMode mode = cudaBoundaryModeTrap)
{



}
# 3305 "/usr/include/crt/device_functions.h" 2 3 4


extern "C" __attribute__((host)) __attribute__((device)) unsigned __cudaPushCallConfiguration(dim3 gridDim,
                                      dim3 blockDim,
                                      size_t sharedMem = 0,
                                      struct CUstream_st *stream = 0);
# 119 "/usr/include/cuda_runtime.h" 2 3 4
# 1 "/usr/include/device_launch_parameters.h" 1 3 4
# 68 "/usr/include/device_launch_parameters.h" 3 4
extern "C" {


uint3 __attribute__((device_builtin)) extern const threadIdx;
uint3 __attribute__((device_builtin)) extern const blockIdx;
dim3 __attribute__((device_builtin)) extern const blockDim;
dim3 __attribute__((device_builtin)) extern const gridDim;
int __attribute__((device_builtin)) extern const warpSize;




}
# 120 "/usr/include/cuda_runtime.h" 2 3 4
# 201 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaLaunchKernel(
  const T *func,
  dim3 gridDim,
  dim3 blockDim,
  void **args,
  size_t sharedMem = 0,
  cudaStream_t stream = 0
)
{
    return ::cudaLaunchKernel((const void *)func, gridDim, blockDim, args, sharedMem, stream);
}
# 263 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaLaunchCooperativeKernel(
  const T *func,
  dim3 gridDim,
  dim3 blockDim,
  void **args,
  size_t sharedMem = 0,
  cudaStream_t stream = 0
)
{
    return ::cudaLaunchCooperativeKernel((const void *)func, gridDim, blockDim, args, sharedMem, stream);
}
# 307 "/usr/include/cuda_runtime.h" 3 4
static __inline__ __attribute__((host)) cudaError_t cudaEventCreate(
  cudaEvent_t *event,
  unsigned int flags
)
{
  return ::cudaEventCreateWithFlags(event, flags);
}
# 372 "/usr/include/cuda_runtime.h" 3 4
static __inline__ __attribute__((host)) cudaError_t cudaMallocHost(
  void **ptr,
  size_t size,
  unsigned int flags
)
{
  return ::cudaHostAlloc(ptr, size, flags);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaHostAlloc(
  T **ptr,
  size_t size,
  unsigned int flags
)
{
  return ::cudaHostAlloc((void**)(void*)ptr, size, flags);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaHostGetDevicePointer(
  T **pDevice,
  void *pHost,
  unsigned int flags
)
{
  return ::cudaHostGetDevicePointer((void**)(void*)pDevice, pHost, flags);
}
# 501 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMallocManaged(
  T **devPtr,
  size_t size,
  unsigned int flags = 0x01
)
{
  return ::cudaMallocManaged((void**)(void*)devPtr, size, flags);
}
# 591 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaStreamAttachMemAsync(
  cudaStream_t stream,
  T *devPtr,
  size_t length = 0,
  unsigned int flags = 0x04
)
{
  return ::cudaStreamAttachMemAsync(stream, (void*)devPtr, length, flags);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMalloc(
  T **devPtr,
  size_t size
)
{
  return ::cudaMalloc((void**)(void*)devPtr, size);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMallocHost(
  T **ptr,
  size_t size,
  unsigned int flags = 0
)
{
  return cudaMallocHost((void**)(void*)ptr, size, flags);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMallocPitch(
  T **devPtr,
  size_t *pitch,
  size_t width,
  size_t height
)
{
  return ::cudaMallocPitch((void**)(void*)devPtr, pitch, width, height);
}
# 641 "/usr/include/cuda_runtime.h" 3 4
static __inline__ __attribute__((host)) cudaError_t cudaMallocAsync(
  void **ptr,
  size_t size,
  cudaMemPool_t memPool,
  cudaStream_t stream
)
{
  return ::cudaMallocFromPoolAsync(ptr, size, memPool, stream);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMallocAsync(
  T **ptr,
  size_t size,
  cudaMemPool_t memPool,
  cudaStream_t stream
)
{
  return ::cudaMallocFromPoolAsync((void**)(void*)ptr, size, memPool, stream);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMallocAsync(
  T **ptr,
  size_t size,
  cudaStream_t stream
)
{
  return ::cudaMallocAsync((void**)(void*)ptr, size, stream);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMallocFromPoolAsync(
  T **ptr,
  size_t size,
  cudaMemPool_t memPool,
  cudaStream_t stream
)
{
  return ::cudaMallocFromPoolAsync((void**)(void*)ptr, size, memPool, stream);
}
# 720 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMemcpyToSymbol(
  const T &symbol,
  const void *src,
        size_t count,
        size_t offset = 0,
        enum cudaMemcpyKind kind = cudaMemcpyHostToDevice
)
{
  return ::cudaMemcpyToSymbol((const void*)&symbol, src, count, offset, kind);
}
# 774 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMemcpyToSymbolAsync(
  const T &symbol,
  const void *src,
        size_t count,
        size_t offset = 0,
        enum cudaMemcpyKind kind = cudaMemcpyHostToDevice,
        cudaStream_t stream = 0
)
{
  return ::cudaMemcpyToSymbolAsync((const void*)&symbol, src, count, offset, kind, stream);
}
# 822 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMemcpyFromSymbol(
        void *dst,
  const T &symbol,
        size_t count,
        size_t offset = 0,
        enum cudaMemcpyKind kind = cudaMemcpyDeviceToHost
)
{
  return ::cudaMemcpyFromSymbol(dst, (const void*)&symbol, count, offset, kind);
}
# 876 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaMemcpyFromSymbolAsync(
        void *dst,
  const T &symbol,
        size_t count,
        size_t offset = 0,
        enum cudaMemcpyKind kind = cudaMemcpyDeviceToHost,
        cudaStream_t stream = 0
)
{
  return ::cudaMemcpyFromSymbolAsync(dst, (const void*)&symbol, count, offset, kind, stream);
}
# 945 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGraphAddMemcpyNodeToSymbol(
    cudaGraphNode_t *pGraphNode,
    cudaGraph_t graph,
    const cudaGraphNode_t *pDependencies,
    size_t numDependencies,
    const T &symbol,
    const void* src,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind)
{
  return ::cudaGraphAddMemcpyNodeToSymbol(pGraphNode, graph, pDependencies, numDependencies, (const void*)&symbol, src, count, offset, kind);
}
# 1016 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGraphAddMemcpyNodeFromSymbol(
    cudaGraphNode_t* pGraphNode,
    cudaGraph_t graph,
    const cudaGraphNode_t* pDependencies,
    size_t numDependencies,
    void* dst,
    const T &symbol,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind)
{
  return ::cudaGraphAddMemcpyNodeFromSymbol(pGraphNode, graph, pDependencies, numDependencies, dst, (const void*)&symbol, count, offset, kind);
}
# 1067 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGraphMemcpyNodeSetParamsToSymbol(
    cudaGraphNode_t node,
    const T &symbol,
    const void* src,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind)
{
  return ::cudaGraphMemcpyNodeSetParamsToSymbol(node, (const void*)&symbol, src, count, offset, kind);
}
# 1115 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGraphMemcpyNodeSetParamsFromSymbol(
    cudaGraphNode_t node,
    void* dst,
    const T &symbol,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind)
{
  return ::cudaGraphMemcpyNodeSetParamsFromSymbol(node, dst, (const void*)&symbol, count, offset, kind);
}
# 1173 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGraphExecMemcpyNodeSetParamsToSymbol(
    cudaGraphExec_t hGraphExec,
    cudaGraphNode_t node,
    const T &symbol,
    const void* src,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind)
{
    return ::cudaGraphExecMemcpyNodeSetParamsToSymbol(hGraphExec, node, (const void*)&symbol, src, count, offset, kind);
}
# 1232 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGraphExecMemcpyNodeSetParamsFromSymbol(
    cudaGraphExec_t hGraphExec,
    cudaGraphNode_t node,
    void* dst,
    const T &symbol,
    size_t count,
    size_t offset,
    enum cudaMemcpyKind kind)
{
  return ::cudaGraphExecMemcpyNodeSetParamsFromSymbol(hGraphExec, node, dst, (const void*)&symbol, count, offset, kind);
}
# 1271 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaUserObjectCreate(
    cudaUserObject_t *object_out,
    T *objectToWrap,
    unsigned int initialRefcount,
    unsigned int flags)
{
    return ::cudaUserObjectCreate(
            object_out,
            objectToWrap,
            [](void *vpObj) { delete reinterpret_cast<T *>(vpObj); },
            initialRefcount,
            flags);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaUserObjectCreate(
    cudaUserObject_t *object_out,
    T *objectToWrap,
    unsigned int initialRefcount,
    cudaUserObjectFlags flags)
{
    return cudaUserObjectCreate(object_out, objectToWrap, initialRefcount, (unsigned int)flags);
}
# 1321 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGetSymbolAddress(
        void **devPtr,
  const T &symbol
)
{
  return ::cudaGetSymbolAddress(devPtr, (const void*)&symbol);
}
# 1353 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaGetSymbolSize(
        size_t *size,
  const T &symbol
)
{
  return ::cudaGetSymbolSize(size, (const void*)&symbol);
}
# 1397 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTexture(
        size_t *offset,
  const struct texture<T, dim, readMode> &tex,
  const void *devPtr,
  const struct cudaChannelFormatDesc &desc,
        size_t size = (0x7fffffff * 2U + 1U)
)
{
  return ::cudaBindTexture(offset, &tex, devPtr, &desc, size);
}
# 1443 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTexture(
        size_t *offset,
  const struct texture<T, dim, readMode> &tex,
  const void *devPtr,
        size_t size = (0x7fffffff * 2U + 1U)
)
{
  return cudaBindTexture(offset, tex, devPtr, tex.channelDesc, size);
}
# 1500 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTexture2D(
        size_t *offset,
  const struct texture<T, dim, readMode> &tex,
  const void *devPtr,
  const struct cudaChannelFormatDesc &desc,
  size_t width,
  size_t height,
  size_t pitch
)
{
  return ::cudaBindTexture2D(offset, &tex, devPtr, &desc, width, height, pitch);
}
# 1559 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTexture2D(
        size_t *offset,
  const struct texture<T, dim, readMode> &tex,
  const void *devPtr,
  size_t width,
  size_t height,
  size_t pitch
)
{
  return ::cudaBindTexture2D(offset, &tex, devPtr, &tex.channelDesc, width, height, pitch);
}
# 1602 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTextureToArray(
  const struct texture<T, dim, readMode> &tex,
  cudaArray_const_t array,
  const struct cudaChannelFormatDesc &desc
)
{
  return ::cudaBindTextureToArray(&tex, array, &desc);
}
# 1641 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTextureToArray(
  const struct texture<T, dim, readMode> &tex,
  cudaArray_const_t array
)
{
  struct cudaChannelFormatDesc desc;
  cudaError_t err = ::cudaGetChannelDesc(&desc, array);

  return err == cudaSuccess ? cudaBindTextureToArray(tex, array, desc) : err;
}
# 1683 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTextureToMipmappedArray(
  const struct texture<T, dim, readMode> &tex,
  cudaMipmappedArray_const_t mipmappedArray,
  const struct cudaChannelFormatDesc &desc
)
{
  return ::cudaBindTextureToMipmappedArray(&tex, mipmappedArray, &desc);
}
# 1722 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindTextureToMipmappedArray(
  const struct texture<T, dim, readMode> &tex,
  cudaMipmappedArray_const_t mipmappedArray
)
{
  struct cudaChannelFormatDesc desc;
  cudaArray_t levelArray;
  cudaError_t err = ::cudaGetMipmappedArrayLevel(&levelArray, mipmappedArray, 0);

  if (err != cudaSuccess) {
      return err;
  }
  err = ::cudaGetChannelDesc(&desc, levelArray);

  return err == cudaSuccess ? cudaBindTextureToMipmappedArray(tex, mipmappedArray, desc) : err;
}
# 1765 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaUnbindTexture(
  const struct texture<T, dim, readMode> &tex
)
{
  return ::cudaUnbindTexture(&tex);
}
# 1801 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim, enum cudaTextureReadMode readMode>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaGetTextureAlignmentOffset(
        size_t *offset,
  const struct texture<T, dim, readMode> &tex
)
{
  return ::cudaGetTextureAlignmentOffset(offset, &tex);
}
# 1853 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaFuncSetCacheConfig(
  T *func,
  enum cudaFuncCache cacheConfig
)
{
  return ::cudaFuncSetCacheConfig((const void*)func, cacheConfig);
}

template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaFuncSetSharedMemConfig(
  T *func,
  enum cudaSharedMemConfig config
)
{
  return ::cudaFuncSetSharedMemConfig((const void*)func, config);
}
# 1901 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessor(
    int *numBlocks,
    T func,
    int blockSize,
    size_t dynamicSMemSize)
{
    return ::cudaOccupancyMaxActiveBlocksPerMultiprocessorWithFlags(numBlocks, (const void*)func, blockSize, dynamicSMemSize, 0x00);
}
# 1953 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaOccupancyMaxActiveBlocksPerMultiprocessorWithFlags(
    int *numBlocks,
    T func,
    int blockSize,
    size_t dynamicSMemSize,
    unsigned int flags)
{
    return ::cudaOccupancyMaxActiveBlocksPerMultiprocessorWithFlags(numBlocks, (const void*)func, blockSize, dynamicSMemSize, flags);
}




class __cudaOccupancyB2DHelper {
  size_t n;
public:
  inline __attribute__((host)) __attribute__((device)) __cudaOccupancyB2DHelper(size_t n_) : n(n_) {}
  inline __attribute__((host)) __attribute__((device)) size_t operator()(int)
  {
      return n;
  }
};
# 2023 "/usr/include/cuda_runtime.h" 3 4
template<typename UnaryFunction, class T>
static __inline__ __attribute__((host)) __attribute__((device)) cudaError_t cudaOccupancyMaxPotentialBlockSizeVariableSMemWithFlags(
    int *minGridSize,
    int *blockSize,
    T func,
    UnaryFunction blockSizeToDynamicSMemSize,
    int blockSizeLimit = 0,
    unsigned int flags = 0)
{
    cudaError_t status;


    int device;
    struct cudaFuncAttributes attr;


    int maxThreadsPerMultiProcessor;
    int warpSize;
    int devMaxThreadsPerBlock;
    int multiProcessorCount;
    int funcMaxThreadsPerBlock;
    int occupancyLimit;
    int granularity;


    int maxBlockSize = 0;
    int numBlocks = 0;
    int maxOccupancy = 0;


    int blockSizeToTryAligned;
    int blockSizeToTry;
    int blockSizeLimitAligned;
    int occupancyInBlocks;
    int occupancyInThreads;
    size_t dynamicSMemSize;





    if (!minGridSize || !blockSize || !func) {
        return cudaErrorInvalidValue;
    }





    status = ::cudaGetDevice(&device);
    if (status != cudaSuccess) {
        return status;
    }

    status = cudaDeviceGetAttribute(
        &maxThreadsPerMultiProcessor,
        cudaDevAttrMaxThreadsPerMultiProcessor,
        device);
    if (status != cudaSuccess) {
        return status;
    }

    status = cudaDeviceGetAttribute(
        &warpSize,
        cudaDevAttrWarpSize,
        device);
    if (status != cudaSuccess) {
        return status;
    }

    status = cudaDeviceGetAttribute(
        &devMaxThreadsPerBlock,
        cudaDevAttrMaxThreadsPerBlock,
        device);
    if (status != cudaSuccess) {
        return status;
    }

    status = cudaDeviceGetAttribute(
        &multiProcessorCount,
        cudaDevAttrMultiProcessorCount,
        device);
    if (status != cudaSuccess) {
        return status;
    }

    status = cudaFuncGetAttributes(&attr, func);
    if (status != cudaSuccess) {
        return status;
    }

    funcMaxThreadsPerBlock = attr.maxThreadsPerBlock;





    occupancyLimit = maxThreadsPerMultiProcessor;
    granularity = warpSize;

    if (blockSizeLimit == 0) {
        blockSizeLimit = devMaxThreadsPerBlock;
    }

    if (devMaxThreadsPerBlock < blockSizeLimit) {
        blockSizeLimit = devMaxThreadsPerBlock;
    }

    if (funcMaxThreadsPerBlock < blockSizeLimit) {
        blockSizeLimit = funcMaxThreadsPerBlock;
    }

    blockSizeLimitAligned = ((blockSizeLimit + (granularity - 1)) / granularity) * granularity;

    for (blockSizeToTryAligned = blockSizeLimitAligned; blockSizeToTryAligned > 0; blockSizeToTryAligned -= granularity) {



        if (blockSizeLimit < blockSizeToTryAligned) {
            blockSizeToTry = blockSizeLimit;
        } else {
            blockSizeToTry = blockSizeToTryAligned;
        }

        dynamicSMemSize = blockSizeToDynamicSMemSize(blockSizeToTry);

        status = cudaOccupancyMaxActiveBlocksPerMultiprocessorWithFlags(
            &occupancyInBlocks,
            func,
            blockSizeToTry,
            dynamicSMemSize,
            flags);

        if (status != cudaSuccess) {
            return status;
        }

        occupancyInThreads = blockSizeToTry * occupancyInBlocks;

        if (occupancyInThreads > maxOccupancy) {
            maxBlockSize = blockSizeToTry;
            numBlocks = occupancyInBlocks;
            maxOccupancy = occupancyInThreads;
        }



        if (occupancyLimit == maxOccupancy) {
            break;
        }
    }







    *minGridSize = numBlocks * multiProcessorCount;
    *blockSize = maxBlockSize;

    return status;
}
# 2219 "/usr/include/cuda_runtime.h" 3 4
template<typename UnaryFunction, class T>
static __inline__ __attribute__((host)) __attribute__((device)) cudaError_t cudaOccupancyMaxPotentialBlockSizeVariableSMem(
    int *minGridSize,
    int *blockSize,
    T func,
    UnaryFunction blockSizeToDynamicSMemSize,
    int blockSizeLimit = 0)
{
    return cudaOccupancyMaxPotentialBlockSizeVariableSMemWithFlags(minGridSize, blockSize, func, blockSizeToDynamicSMemSize, blockSizeLimit, 0x00);
}
# 2265 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) __attribute__((device)) cudaError_t cudaOccupancyMaxPotentialBlockSize(
    int *minGridSize,
    int *blockSize,
    T func,
    size_t dynamicSMemSize = 0,
    int blockSizeLimit = 0)
{
  return cudaOccupancyMaxPotentialBlockSizeVariableSMemWithFlags(minGridSize, blockSize, func, __cudaOccupancyB2DHelper(dynamicSMemSize), blockSizeLimit, 0x00);
}
# 2303 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaOccupancyAvailableDynamicSMemPerBlock(
    size_t *dynamicSmemSize,
    T func,
    int numBlocks,
    int blockSize)
{
    return ::cudaOccupancyAvailableDynamicSMemPerBlock(dynamicSmemSize, (const void*)func, numBlocks, blockSize);
}
# 2362 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) __attribute__((device)) cudaError_t cudaOccupancyMaxPotentialBlockSizeWithFlags(
    int *minGridSize,
    int *blockSize,
    T func,
    size_t dynamicSMemSize = 0,
    int blockSizeLimit = 0,
    unsigned int flags = 0)
{
    return cudaOccupancyMaxPotentialBlockSizeVariableSMemWithFlags(minGridSize, blockSize, func, __cudaOccupancyB2DHelper(dynamicSMemSize), blockSizeLimit, flags);
}
# 2405 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaFuncGetAttributes(
  struct cudaFuncAttributes *attr,
  T *entry
)
{
  return ::cudaFuncGetAttributes(attr, (const void*)entry);
}
# 2450 "/usr/include/cuda_runtime.h" 3 4
template<class T>
static __inline__ __attribute__((host)) cudaError_t cudaFuncSetAttribute(
  T *entry,
  enum cudaFuncAttribute attr,
  int value
)
{
  return ::cudaFuncSetAttribute((const void*)entry, attr, value);
}
# 2482 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindSurfaceToArray(
  const struct surface<T, dim> &surf,
  cudaArray_const_t array,
  const struct cudaChannelFormatDesc &desc
)
{
  return ::cudaBindSurfaceToArray(&surf, array, &desc);
}
# 2513 "/usr/include/cuda_runtime.h" 3 4
template<class T, int dim>
static __attribute__((deprecated)) __inline__ __attribute__((host)) cudaError_t cudaBindSurfaceToArray(
  const struct surface<T, dim> &surf,
  cudaArray_const_t array
)
{
  struct cudaChannelFormatDesc desc;
  cudaError_t err = ::cudaGetChannelDesc(&desc, array);

  return err == cudaSuccess ? cudaBindSurfaceToArray(surf, array, desc) : err;
}
# 2534 "/usr/include/cuda_runtime.h" 3 4
#pragma GCC diagnostic pop
# 0 "<command-line>" 2
# 1 "CMakeCUDACompilerId.cu"
# 64 "CMakeCUDACompilerId.cu"

# 64 "CMakeCUDACompilerId.cu"
char const* info_compiler = "INFO" ":" "compiler[" "NVIDIA" "]";

char const* info_simulate = "INFO" ":" "simulate[" "GNU" "]";
# 336 "CMakeCUDACompilerId.cu"
char const info_version[] = {
  'I', 'N', 'F', 'O', ':',
  'c','o','m','p','i','l','e','r','_','v','e','r','s','i','o','n','[',
  ('0' + (((11) / 10000000)%10)), ('0' + (((11) / 1000000)%10)), ('0' + (((11) / 100000)%10)), ('0' + (((11) / 10000)%10)), ('0' + (((11) / 1000)%10)), ('0' + (((11) / 100)%10)), ('0' + (((11) / 10)%10)), ('0' + ((11) % 10)),

  '.', ('0' + (((5) / 10000000)%10)), ('0' + (((5) / 1000000)%10)), ('0' + (((5) / 100000)%10)), ('0' + (((5) / 10000)%10)), ('0' + (((5) / 1000)%10)), ('0' + (((5) / 100)%10)), ('0' + (((5) / 10)%10)), ('0' + ((5) % 10)),

   '.', ('0' + (((119) / 10000000)%10)), ('0' + (((119) / 1000000)%10)), ('0' + (((119) / 100000)%10)), ('0' + (((119) / 10000)%10)), ('0' + (((119) / 1000)%10)), ('0' + (((119) / 100)%10)), ('0' + (((119) / 10)%10)), ('0' + ((119) % 10)),





  ']','\0'};
# 365 "CMakeCUDACompilerId.cu"
char const info_simulate_version[] = {
  'I', 'N', 'F', 'O', ':',
  's','i','m','u','l','a','t','e','_','v','e','r','s','i','o','n','[',
  ('0' + (((11) / 10000000)%10)), ('0' + (((11) / 1000000)%10)), ('0' + (((11) / 100000)%10)), ('0' + (((11) / 10000)%10)), ('0' + (((11) / 1000)%10)), ('0' + (((11) / 100)%10)), ('0' + (((11) / 10)%10)), ('0' + ((11) % 10)),

  '.', ('0' + (((4) / 10000000)%10)), ('0' + (((4) / 1000000)%10)), ('0' + (((4) / 100000)%10)), ('0' + (((4) / 10000)%10)), ('0' + (((4) / 1000)%10)), ('0' + (((4) / 100)%10)), ('0' + (((4) / 10)%10)), ('0' + ((4) % 10)),







  ']','\0'};






char const* info_platform = "INFO" ":" "platform[" "Linux" "]";
char const* info_arch = "INFO" ":" "arch[" "]";



const char* info_language_standard_default = "INFO" ":" "standard_default["





  "17"







"]";

const char* info_language_extensions_default = "INFO" ":" "extensions_default["



  "ON"



"]";



int main(int argc, char* argv[])
{
  int require = 0;
  require += info_compiler[argc];
  require += info_platform[argc];

  require += info_version[argc];


  require += info_simulate[argc];


  require += info_simulate_version[argc];

  require += info_language_standard_default[argc];
  require += info_language_extensions_default[argc];
  (void)argv;
  return require;
}