/* Generated by Cython 3.0.0 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "name": "hexachromix.core",
        "sources": [
            "hexachromix/core.pyx"
        ]
    },
    "module_name": "hexachromix.core"
}
END: Cython Metadata */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* PY_SSIZE_T_CLEAN */
#if defined(CYTHON_LIMITED_API) && 0
  #ifndef Py_LIMITED_API
    #if CYTHON_LIMITED_API+0 > 0x03030000
      #define Py_LIMITED_API CYTHON_LIMITED_API
    #else
      #define Py_LIMITED_API 0x03030000
    #endif
  #endif
#endif

#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.7+ or Python 3.3+.
#else
#define CYTHON_ABI "3_0_0"
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
#define CYTHON_HEX_VERSION 0x030000F0
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #define HAVE_LONG_LONG
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#if defined(GRAALVM_PYTHON)
  /* For very preliminary testing purposes. Most variables are set the same as PyPy.
     The existence of this section does not imply that anything works or is even tested */
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 1
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(PYPY_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #if PY_VERSION_HEX < 0x03090000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1 && PYPY_VERSION_NUM >= 0x07030C00)
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(CYTHON_LIMITED_API)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_CLINE_IN_TRACEBACK
  #define CYTHON_CLINE_IN_TRACEBACK 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 1
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #endif
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 1
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(PY_NOGIL)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #ifndef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #ifndef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL (PY_MAJOR_VERSION < 3 || PY_VERSION_HEX >= 0x03060000 && PY_VERSION_HEX < 0x030C00A6)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #if PY_VERSION_HEX < 0x030400a1
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #elif !defined(CYTHON_USE_TP_FINALIZE)
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #if PY_VERSION_HEX < 0x030600B1
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
    #define CYTHON_USE_DICT_VERSIONS  (PY_VERSION_HEX < 0x030C00A5)
  #endif
  #if PY_VERSION_HEX < 0x030700A3
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if !defined(CYTHON_VECTORCALL)
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
#endif
#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_MAJOR_VERSION < 3
    #include "longintrepr.h"
  #endif
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(maybe_unused) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(maybe_unused)
        #define CYTHON_UNUSED [[maybe_unused]]
      #endif
    #endif
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
            typedef unsigned char     uint8_t;
            typedef unsigned short    uint16_t;
            typedef unsigned int      uint32_t;
        #else
            typedef unsigned __int8   uint8_t;
            typedef unsigned __int16  uint16_t;
            typedef unsigned __int32  uint32_t;
        #endif
    #endif
    #if _MSC_VER < 1300
        #ifdef _WIN64
            typedef unsigned long long  __pyx_uintptr_t;
        #else
            typedef unsigned int        __pyx_uintptr_t;
        #endif
    #else
        #ifdef _WIN64
            typedef unsigned __int64    __pyx_uintptr_t;
        #else
            typedef unsigned __int32    __pyx_uintptr_t;
        #endif
    #endif
#else
    #include <stdint.h>
    typedef uintptr_t  __pyx_uintptr_t;
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(fallthrough) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif
#ifdef __cplusplus
  template <typename T>
  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
#else
  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_DefaultClassType PyClass_Type
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if PY_VERSION_HEX >= 0x030B00A1
    static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
        PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *empty=NULL;
        const char *fn_cstr=NULL;
        const char *name_cstr=NULL;
        PyCodeObject *co=NULL, *result=NULL;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        if (!(kwds=PyDict_New())) goto end;
        if (!(argcount=PyLong_FromLong(a))) goto end;
        if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
        if (!(posonlyargcount=PyLong_FromLong(p))) goto end;
        if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
        if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
        if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
        if (!(nlocals=PyLong_FromLong(l))) goto end;
        if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
        if (!(stacksize=PyLong_FromLong(s))) goto end;
        if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
        if (!(flags=PyLong_FromLong(f))) goto end;
        if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
        if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
        if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
        if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
        if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto end;
        if (!(empty = PyTuple_New(0))) goto end;
        result = (PyCodeObject*) PyObject_Call(replace, empty, kwds);
    end:
        Py_XDECREF((PyObject*) co);
        Py_XDECREF(kwds);
        Py_XDECREF(argcount);
        Py_XDECREF(posonlyargcount);
        Py_XDECREF(kwonlyargcount);
        Py_XDECREF(nlocals);
        Py_XDECREF(stacksize);
        Py_XDECREF(replace);
        Py_XDECREF(empty);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
#endif
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#endif
#ifndef CO_COROUTINE
  #define CO_COROUTINE 0x80
#endif
#ifndef CO_ASYNC_GENERATOR
  #define CO_ASYNC_GENERATOR 0x200
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_VERSION_HEX < 0x030900B1
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void *__Pyx_PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if PY_MAJOR_VERSION < 3
    #if CYTHON_COMPILING_IN_PYPY
        #if PYPY_VERSION_NUM < 0x07030600
            #if defined(__cplusplus) && __cplusplus >= 201402L
                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
            #elif defined(__GNUC__) || defined(__clang__)
                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
            #elif defined(_MSC_VER)
                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
            #endif
            static CYTHON_INLINE int PyGILState_Check(void) {
                return 0;
            }
        #else  // PYPY_VERSION_NUM < 0x07030600
        #endif  // PYPY_VERSION_NUM < 0x07030600
    #else
        static CYTHON_INLINE int PyGILState_Check(void) {
            PyThreadState * tstate = _PyThreadState_Current;
            return tstate && (tstate == PyGILState_GetThisThreadState());
        }
    #endif
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B4 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE(obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535U : 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((int)sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = (Py_UNICODE) ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef PyUnicode_Contains
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
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    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
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#define __PYX_HAVE__hexachromix__core
#define __PYX_HAVE_API__hexachromix__core
/* Early includes */
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#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
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typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
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#elif SIZEOF_LONG >= SIZEOF_SIZE_T
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#elif defined (_MSC_VER)
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#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
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    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
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static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
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#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
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    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
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#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
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#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const wchar_t *u)
{
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}
#else
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
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#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
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static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
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static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
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#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
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#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
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#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
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#if CYTHON_USE_PYLONG_INTERNALS
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  #ifndef _PyLong_SIGN_MASK
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  #ifndef _PyLong_NON_SIZE_BITS
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#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
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    if (!sys) goto bad;
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    if (!default_encoding) goto bad;
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            goto bad;
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        Py_DECREF(ascii_chars_b);
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bad:
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}
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#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
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    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
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}
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/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
#endif
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm = __FILE__;
static const char *__pyx_filename;

/* #### Code section: filename_table ### */

static const char *__pyx_f[] = {
  "hexachromix/core.pyx",
  "<stringsource>",
};
/* #### Code section: utility_code_proto_before_types ### */
/* #### Code section: numeric_typedefs ### */
/* #### Code section: complex_type_declarations ### */
/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_obj_11hexachromix_4core_HexachromixState;
struct __pyx_obj_11hexachromix_4core___pyx_scope_struct__genexpr;
struct __pyx_ctuple_int__and_int;
typedef struct __pyx_ctuple_int__and_int __pyx_ctuple_int__and_int;

/* "hexachromix/core.pyx":106
 *     @cython.boundscheck(False)
 *     @cython.wraparound(False)
 *     cpdef HexachromixState make_move(self, (int,int) move):             # <<<<<<<<<<<<<<
 *         cdef unsigned char i = move[0], c = move[1]
 *         board = [self.board[i] for i in range(19)]
 */
struct __pyx_ctuple_int__and_int {
  int f0;
  int f1;
};

/* "hexachromix/core.pyx":45
 * 
 * 
 * cdef class HexachromixState:             # <<<<<<<<<<<<<<
 *     cdef unsigned char[19] board
 *     cdef unsigned char player
 */
struct __pyx_obj_11hexachromix_4core_HexachromixState {
  PyObject_HEAD
  struct __pyx_vtabstruct_11hexachromix_4core_HexachromixState *__pyx_vtab;
  unsigned char board[19];
  unsigned char player;
  PyObject *variant;
};


/* "hexachromix/core.pyx":16
 * VARIANT_PLAYER_TEAM = {
 *     variant: {
 *         c: next(team for team in teams if c in team)             # <<<<<<<<<<<<<<
 *         for c in COLORS
 *     }
 */
struct __pyx_obj_11hexachromix_4core___pyx_scope_struct__genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_team;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};



/* "hexachromix/core.pyx":45
 * 
 * 
 * cdef class HexachromixState:             # <<<<<<<<<<<<<<
 *     cdef unsigned char[19] board
 *     cdef unsigned char player
 */

struct __pyx_vtabstruct_11hexachromix_4core_HexachromixState {
  PyObject *(*get_current_team)(struct __pyx_obj_11hexachromix_4core_HexachromixState *, int __pyx_skip_dispatch);
  PyObject *(*get_legal_moves)(struct __pyx_obj_11hexachromix_4core_HexachromixState *, int __pyx_skip_dispatch);
  struct __pyx_obj_11hexachromix_4core_HexachromixState *(*make_move)(struct __pyx_obj_11hexachromix_4core_HexachromixState *, __pyx_ctuple_int__and_int, int __pyx_skip_dispatch);
  int (*is_terminal)(struct __pyx_obj_11hexachromix_4core_HexachromixState *, int __pyx_skip_dispatch);
  PyObject *(*get_reward)(struct __pyx_obj_11hexachromix_4core_HexachromixState *, int __pyx_skip_dispatch);
  int (*has_path)(struct __pyx_obj_11hexachromix_4core_HexachromixState *, int __pyx_skip_dispatch);
  PyObject *(*suggest_move)(struct __pyx_obj_11hexachromix_4core_HexachromixState *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_11hexachromix_4core_HexachromixState *__pyx_vtabptr_11hexachromix_4core_HexachromixState;
/* #### Code section: utility_code_proto ### */

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/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
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#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
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/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
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#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
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#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
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#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
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/* PyErrFetchRestore.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
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/* PyObjectGetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
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/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);

/* RaiseUnboundLocalError.proto */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
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/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
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static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* pep479.proto */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen);

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
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#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
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/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
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#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
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#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

/* IncludeStringH.proto */
#include <string.h>

/* TupleAndListFromArray.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
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/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* fastcall.proto */
#define __Pyx_Arg_VARARGS(args, i) PyTuple_GET_ITEM(args, i)
#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_METH_FASTCALL
    #define __Pyx_Arg_FASTCALL(args, i) args[i]
    #define __Pyx_NumKwargs_FASTCALL(kwds) PyTuple_GET_SIZE(kwds)
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    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
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    #define __Pyx_Arg_FASTCALL __Pyx_Arg_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
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#define __Pyx_ArgsSlice_VARARGS(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_VARARGS(args, start), stop - start)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_FASTCALL(args, start), stop - start)
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#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
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/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywords.proto */
static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject *const *kwvalues,
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/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
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static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#if !CYTHON_VECTORCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
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static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
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#define __Pyx_BUILD_ASSERT_EXPR(cond)\
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#ifndef Py_MEMBER_SIZE
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#if !CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03080000
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/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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/* PyObjectFastCall.proto */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs);

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* RaiseUnexpectedTypeError.proto */
static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj);

/* PyDictVersioning.proto */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
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    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
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    static PyObject *__pyx_dict_cached_value = NULL;\
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static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
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#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
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/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
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#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
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static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
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#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
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/* IncludeStructmemberH.proto */
#include <structmember.h>

/* FixUpExtensionType.proto */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);
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/* FetchSharedCythonModule.proto */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

/* FetchCommonType.proto */
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
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static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases);
#endif

/* PyMethodNew.proto */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
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    #define __Pyx_PyMethod_New PyMethod_New
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/* PyVectorcallFastCallDict.proto */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
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/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CYFUNCTION_COROUTINE     0x08
#define __Pyx_CyFunction_GetClosure(f)\
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#if PY_VERSION_HEX < 0x030900B1
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
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  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
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#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
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#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
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#if PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
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    PyCMethodObject func;
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#if CYTHON_BACKPORT_VECTORCALL
    __pyx_vectorcallfunc func_vectorcall;
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#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
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    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
#if PY_VERSION_HEX < 0x030900B1
    PyObject *func_classobj;
#endif
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_CyFunctionType)
#define __Pyx_IsCyOrPyCFunction(obj)  __Pyx_TypeCheck2(obj, __pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_CyFunctionType)
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(PyObject *module);
#if CYTHON_METH_FASTCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#if CYTHON_BACKPORT_VECTORCALL
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* PyObjectCallOneArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* PyObject_Str.proto */
#define __Pyx_PyObject_Str(obj)\
    (likely(PyString_CheckExact(obj)) ? __Pyx_NewRef(obj) : PyObject_Str(obj))

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif PY_MAJOR_VERSION < 3
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyString_CheckExact(s)) ? PyUnicode_FromEncodedObject(s, NULL, "strict") :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif

/* JoinPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char);

/* KeywordStringCheck.proto */
static int __Pyx_CheckKeywordStrings(PyObject *kw, const char* function_name, int kw_allowed);

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

/* ModInt[long].proto */
static CYTHON_INLINE long __Pyx_mod_long(long, long);

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* PyObjectCallNoArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* ValidateBasesTuple.proto */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases);
#endif

/* PyType_Ready.proto */
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* SetVTable.proto */
static int __Pyx_SetVtable(PyTypeObject* typeptr , void* vtable);

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyTypeObject *type);

/* MergeVTables.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type);
#endif

/* SetupReduce.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce(PyObject* type_obj);
#endif

/* ImportDottedModule.proto */
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);
#endif

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

/* UnpackTupleError.proto */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);

/* UnpackTuple2.proto */
#define __Pyx_unpack_tuple2(tuple, value1, value2, is_tuple, has_known_size, decref_tuple)\
    (likely(is_tuple || PyTuple_Check(tuple)) ?\
        (likely(has_known_size || PyTuple_GET_SIZE(tuple) == 2) ?\
            __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple) :\
            (__Pyx_UnpackTupleError(tuple, 2), -1)) :\
        __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple))
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
    PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
static int __Pyx_unpack_tuple2_generic(
    PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);

/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);

/* IterNext.proto */
#define __Pyx_PyIter_Next(obj) __Pyx_PyIter_Next2(obj, NULL)
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject *, PyObject *);

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
#endif

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

/* GCCDiagnostics.proto */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* FromPyCTupleUtility.proto */
static CYTHON_INLINE __pyx_ctuple_int__and_int __pyx_convert__from_py___pyx_ctuple_int__and_int(PyObject *);

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_int__and_int(__pyx_ctuple_int__and_int);

/* CIntFromPy.proto */
static CYTHON_INLINE unsigned char __Pyx_PyInt_As_unsigned_char(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_char(unsigned char value);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
static __Pyx_TypeName __Pyx_PyType_GetName(PyTypeObject* tp);
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#else
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* PyObjectCall2Args.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectCallMethod1.proto */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* CoroutineBase.proto */
struct __pyx_CoroutineObject;
typedef PyObject *(*__pyx_coroutine_body_t)(struct __pyx_CoroutineObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
#else
typedef struct {
    PyObject *exc_type;
    PyObject *exc_value;
    PyObject *exc_traceback;
} __Pyx_ExcInfoStruct;
#endif
typedef struct __pyx_CoroutineObject {
    PyObject_HEAD
    __pyx_coroutine_body_t body;
    PyObject *closure;
    __Pyx_ExcInfoStruct gi_exc_state;
    PyObject *gi_weakreflist;
    PyObject *classobj;
    PyObject *yieldfrom;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
    int resume_label;
    char is_running;
} __pyx_CoroutineObject;
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
    PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
    PyObject *name, PyObject *qualname, PyObject *module_name);
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name);
static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static PyObject *__Pyx_Coroutine_Close(PyObject *self);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_Coroutine_SwapException(self)
#define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
#else
#define __Pyx_Coroutine_SwapException(self) {\
    __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
    __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
    }
#define __Pyx_Coroutine_ResetAndClearException(self) {\
    __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
    (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
    }
#endif
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
#else
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
#endif
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);

/* PatchModuleWithCoroutine.proto */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code);

/* PatchGeneratorABC.proto */
static int __Pyx_patch_abc(void);

/* Generator.proto */
#define __Pyx_Generator_USED
#define __Pyx_Generator_CheckExact(obj) __Pyx_IS_TYPE(obj, __pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
    __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(PyObject *module);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

/* #### Code section: module_declarations ### */
static PyObject *__pyx_f_11hexachromix_4core_16HexachromixState_get_current_team(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11hexachromix_4core_16HexachromixState_get_legal_moves(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_f_11hexachromix_4core_16HexachromixState_make_move(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, __pyx_ctuple_int__and_int __pyx_v_move, int __pyx_skip_dispatch); /* proto*/
static int __pyx_f_11hexachromix_4core_16HexachromixState_is_terminal(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11hexachromix_4core_16HexachromixState_get_reward(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static int __pyx_f_11hexachromix_4core_16HexachromixState_has_path(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11hexachromix_4core_16HexachromixState_suggest_move(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/

/* Module declarations from "cython" */

/* Module declarations from "hexachromix.core" */
static unsigned char __pyx_v_11hexachromix_4core_TRANSFORMATIONS[6][4][2];
static unsigned char __pyx_v_11hexachromix_4core_ADJACENCIES[19][6];
static unsigned char __pyx_v_11hexachromix_4core_SIDES[6][2][3];
static unsigned char __pyx_v_11hexachromix_4core_OCCUPANTS[6][3];
static PyObject *__pyx_7genexpr__pyx_v_11hexachromix_4core_variant;
static PyObject *__pyx_7genexpr__pyx_v_11hexachromix_4core_teams;
static PyObject *__pyx_8genexpr1__pyx_v_11hexachromix_4core_c;
static PyObject *__pyx_8genexpr1__pyx_v_11hexachromix_4core_0;
static PyObject *__pyx_8genexpr3__pyx_v_11hexachromix_4core_i;
static PyObject *__pyx_8genexpr3__pyx_v_11hexachromix_4core_c;
static PyObject *__pyx_8genexpr4__pyx_v_11hexachromix_4core_group;
static PyObject *__pyx_8genexpr5__pyx_v_11hexachromix_4core_pair;
static PyObject *__pyx_8genexpr6__pyx_v_11hexachromix_4core_c;
static PyObject *__pyx_9genexpr12__pyx_v_11hexachromix_4core_chars;
static PyObject *__pyx_9genexpr13__pyx_v_11hexachromix_4core_c;
static int __pyx_f_11hexachromix_4core_bfs(unsigned char, unsigned char *); /*proto*/
static PyObject *__pyx_f_11hexachromix_4core___pyx_unpickle_HexachromixState__set_state(struct __pyx_obj_11hexachromix_4core_HexachromixState *, PyObject *); /*proto*/
static int __Pyx_carray_from_py_unsigned_char(PyObject *, unsigned char *, Py_ssize_t); /*proto*/
static int __Pyx_carray_from_py_unsigned_char___5b_2_5d_(PyObject *, unsigned char (*)[2], Py_ssize_t); /*proto*/
static int __Pyx_carray_from_py_unsigned_char___5b_4_5d__5b_2_5d_(PyObject *, unsigned char (*)[4][2], Py_ssize_t); /*proto*/
static int __Pyx_carray_from_py_unsigned_char___5b_3_5d_(PyObject *, unsigned char (*)[3], Py_ssize_t); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "hexachromix.core"
extern int __pyx_module_is_main_hexachromix__core;
int __pyx_module_is_main_hexachromix__core = 0;

/* Implementation of "hexachromix.core" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_OverflowError;
static PyObject *__pyx_builtin_IndexError;
/* #### Code section: string_decls ### */
static const char __pyx_k_B[] = "B";
static const char __pyx_k_C[] = "C";
static const char __pyx_k_G[] = "G";
static const char __pyx_k_M[] = "M";
static const char __pyx_k_R[] = "R";
static const char __pyx_k_Y[] = "Y";
static const char __pyx_k_b[] = "b";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "\\d";
static const char __pyx_k_g[] = "g";
static const char __pyx_k_m[] = "m";
static const char __pyx_k_r[] = "r";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_CB[] = "CB";
static const char __pyx_k_MR[] = "MR";
static const char __pyx_k_YG[] = "YG";
static const char __pyx_k__3[] = "-";
static const char __pyx_k__4[] = "/";
static const char __pyx_k__5[] = "";
static const char __pyx_k_gc[] = "gc";
static const char __pyx_k_re[] = "re";
static const char __pyx_k_GCB[] = "GCB";
static const char __pyx_k_MRY[] = "MRY";
static const char __pyx_k__13[] = "-+";
static const char __pyx_k__14[] = " ";
static const char __pyx_k__16[] = ".";
static const char __pyx_k__17[] = "*";
static const char __pyx_k__36[] = "?";
static const char __pyx_k_bMr[] = "bMr";
static const char __pyx_k_cBm[] = "cBm";
static const char __pyx_k_gCb[] = "gCb";
static const char __pyx_k_mRy[] = "mRy";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_rYg[] = "rYg";
static const char __pyx_k_sub[] = "sub";
static const char __pyx_k_yGc[] = "yGc";
static const char __pyx_k_DRAW[] = "DRAW";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_hfen[] = "hfen";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_move[] = "move";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_prev[] = "prev";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_Tuple[] = "Tuple";
static const char __pyx_k_board[] = "board";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_color[] = "color";
static const char __pyx_k_group[] = "group";
static const char __pyx_k_index[] = "index";
static const char __pyx_k_items[] = "items";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_state[] = "state";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_COLORS[] = "COLORS";
static const char __pyx_k_RYGCBM[] = "RYGCBM";
static const char __pyx_k_choice[] = "choice";
static const char __pyx_k_dict_2[] = "_dict";
static const char __pyx_k_enable[] = "enable";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_player[] = "player";
static const char __pyx_k_random[] = "random";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_typing[] = "typing";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_disable[] = "disable";
static const char __pyx_k_genexpr[] = "genexpr";
static const char __pyx_k_replace[] = "replace";
static const char __pyx_k_variant[] = "variant";
static const char __pyx_k_CHAR2INT[] = "CHAR2INT";
static const char __pyx_k_Hashable[] = "Hashable";
static const char __pyx_k_INT2CHAR[] = "INT2CHAR";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_has_path[] = "has_path";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_make_move[] = "make_move";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_get_result[] = "get_result";
static const char __pyx_k_get_reward[] = "get_reward";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_is_terminal[] = "is_terminal";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_stringsource[] = "<stringsource>";
static const char __pyx_k_suggest_move[] = "suggest_move";
static const char __pyx_k_use_setstate[] = "use_setstate";
static const char __pyx_k_OverflowError[] = "OverflowError";
static const char __pyx_k_class_getitem[] = "__class_getitem__";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_get_legal_moves[] = "get_legal_moves";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_HexachromixState[] = "HexachromixState";
static const char __pyx_k_get_current_team[] = "get_current_team";
static const char __pyx_k_hexachromix_core[] = "hexachromix.core";
static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_VARIANT_PLAYER_TEAM[] = "VARIANT_PLAYER_TEAM";
static const char __pyx_k_hexachromix_core_pyx[] = "hexachromix/core.pyx";
static const char __pyx_k_init___locals_lambda[] = "__init__.<locals>.<lambda>";
static const char __pyx_k_HexachromixState_has_path[] = "HexachromixState.has_path";
static const char __pyx_k_HexachromixState_make_move[] = "HexachromixState.make_move";
static const char __pyx_k_HexachromixState_get_result[] = "HexachromixState.get_result";
static const char __pyx_k_HexachromixState_get_reward[] = "HexachromixState.get_reward";
static const char __pyx_k_HexachromixState_is_terminal[] = "HexachromixState.is_terminal";
static const char __pyx_k_HexachromixState_suggest_move[] = "HexachromixState.suggest_move";
static const char __pyx_k_pyx_unpickle_HexachromixState[] = "__pyx_unpickle_HexachromixState";
static const char __pyx_k_HexachromixState___get___locals[] = "HexachromixState.__get__.<locals>.<lambda>";
static const char __pyx_k_HexachromixState___reduce_cython[] = "HexachromixState.__reduce_cython__";
static const char __pyx_k_HexachromixState___setstate_cyth[] = "HexachromixState.__setstate_cython__";
static const char __pyx_k_HexachromixState_get_current_tea[] = "HexachromixState.get_current_team";
static const char __pyx_k_HexachromixState_get_legal_moves[] = "HexachromixState.get_legal_moves";
static const char __pyx_k_Incompatible_checksums_0x_x_vs_0[] = "Incompatible checksums (0x%x vs (0x24f79de, 0xe5ea87b, 0x2dbf1f8) = (board, player, variant))";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_11hexachromix_4core_8genexpr1_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda1(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x); /* proto */
static int __pyx_pf_11hexachromix_4core_16HexachromixState___init__(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, PyObject *__pyx_v_board, PyObject *__pyx_v_player, PyObject *__pyx_v_variant, PyObject *__pyx_v_hfen); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda2(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_4hfen___get__(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_5color___get__(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_2get_current_team(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_4get_legal_moves(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_6make_move(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, __pyx_ctuple_int__and_int __pyx_v_move); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_8is_terminal(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_10get_reward(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_12has_path(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_14suggest_move(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_16get_result(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_18__repr__(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_20__reduce_cython__(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core_16HexachromixState_22__setstate_cython__(struct __pyx_obj_11hexachromix_4core_HexachromixState *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11hexachromix_4core___pyx_unpickle_HexachromixState(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_11hexachromix_4core_HexachromixState(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_11hexachromix_4core___pyx_scope_struct__genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
typedef struct {
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  PyObject *__pyx_b;
  PyObject *__pyx_cython_runtime;
  PyObject *__pyx_empty_tuple;
  PyObject *__pyx_empty_bytes;
  PyObject *__pyx_empty_unicode;
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  #ifdef __Pyx_FusedFunction_USED
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  #ifdef __Pyx_Generator_USED
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  #ifdef __Pyx_IterableCoroutine_USED
  PyTypeObject *__pyx_IterableCoroutineType;
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  #ifdef __Pyx_Coroutine_USED
  PyTypeObject *__pyx_CoroutineAwaitType;
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  PyObject *__pyx_n_u_C;
  PyObject *__pyx_n_u_CB;
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  PyObject *__pyx_n_s_HexachromixState_get_current_tea;
  PyObject *__pyx_n_s_HexachromixState_get_legal_moves;
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  PyObject *__pyx_n_s_HexachromixState_has_path;
  PyObject *__pyx_n_s_HexachromixState_is_terminal;
  PyObject *__pyx_n_s_HexachromixState_make_move;
  PyObject *__pyx_n_s_HexachromixState_suggest_move;
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  PyObject *__pyx_kp_s_Incompatible_checksums_0x_x_vs_0;
  PyObject *__pyx_n_s_IndexError;
  PyObject *__pyx_n_u_M;
  PyObject *__pyx_n_u_MR;
  PyObject *__pyx_n_u_MRY;
  PyObject *__pyx_n_s_OverflowError;
  PyObject *__pyx_n_s_PickleError;
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  PyObject *__pyx_n_s_close;
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  PyObject *__pyx_kp_u_d;
  PyObject *__pyx_n_s_dict;
  PyObject *__pyx_n_s_dict_2;
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  PyObject *__pyx_kp_u_enable;
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  PyObject *__pyx_n_s_get_legal_moves;
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  PyObject *__pyx_n_s_getstate;
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  PyObject *__pyx_n_u_y;
  PyObject *__pyx_n_u_yGc;
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  PyObject *__pyx_tuple__27;
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  PyObject *__pyx_tuple__34;
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    {0};
#endif
static __pyx_mstate *__pyx_mstate_global = &__pyx_mstate_global_static;
#endif
/* #### Code section: module_state_clear ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_clear(PyObject *m) {
  __pyx_mstate *clear_module_state = __pyx_mstate(m);
  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_CLEAR(clear_module_state->__pyx_FusedFunctionType);
  #endif
  Py_CLEAR(clear_module_state->__pyx_ptype_11hexachromix_4core_HexachromixState);
  Py_CLEAR(clear_module_state->__pyx_type_11hexachromix_4core_HexachromixState);
  Py_CLEAR(clear_module_state->__pyx_ptype_11hexachromix_4core___pyx_scope_struct__genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_11hexachromix_4core___pyx_scope_struct__genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_u_B);
  Py_CLEAR(clear_module_state->__pyx_n_u_C);
  Py_CLEAR(clear_module_state->__pyx_n_u_CB);
  Py_CLEAR(clear_module_state->__pyx_n_s_CHAR2INT);
  Py_CLEAR(clear_module_state->__pyx_n_s_COLORS);
  Py_CLEAR(clear_module_state->__pyx_n_u_DRAW);
  Py_CLEAR(clear_module_state->__pyx_n_u_G);
  Py_CLEAR(clear_module_state->__pyx_n_u_GCB);
  Py_CLEAR(clear_module_state->__pyx_n_s_Hashable);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState___get___locals);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState___reduce_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState___setstate_cyth);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_get_current_tea);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_get_legal_moves);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_get_result);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_get_reward);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_has_path);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_is_terminal);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_make_move);
  Py_CLEAR(clear_module_state->__pyx_n_s_HexachromixState_suggest_move);
  Py_CLEAR(clear_module_state->__pyx_n_s_INT2CHAR);
  Py_CLEAR(clear_module_state->__pyx_kp_s_Incompatible_checksums_0x_x_vs_0);
  Py_CLEAR(clear_module_state->__pyx_n_s_IndexError);
  Py_CLEAR(clear_module_state->__pyx_n_u_M);
  Py_CLEAR(clear_module_state->__pyx_n_u_MR);
  Py_CLEAR(clear_module_state->__pyx_n_u_MRY);
  Py_CLEAR(clear_module_state->__pyx_n_s_OverflowError);
  Py_CLEAR(clear_module_state->__pyx_n_s_PickleError);
  Py_CLEAR(clear_module_state->__pyx_n_u_R);
  Py_CLEAR(clear_module_state->__pyx_n_u_RYGCBM);
  Py_CLEAR(clear_module_state->__pyx_n_s_Tuple);
  Py_CLEAR(clear_module_state->__pyx_n_s_TypeError);
  Py_CLEAR(clear_module_state->__pyx_n_s_VARIANT_PLAYER_TEAM);
  Py_CLEAR(clear_module_state->__pyx_n_u_Y);
  Py_CLEAR(clear_module_state->__pyx_n_u_YG);
  Py_CLEAR(clear_module_state->__pyx_kp_u__13);
  Py_CLEAR(clear_module_state->__pyx_kp_u__14);
  Py_CLEAR(clear_module_state->__pyx_kp_u__16);
  Py_CLEAR(clear_module_state->__pyx_n_s__17);
  Py_CLEAR(clear_module_state->__pyx_kp_u__3);
  Py_CLEAR(clear_module_state->__pyx_n_s__36);
  Py_CLEAR(clear_module_state->__pyx_kp_u__4);
  Py_CLEAR(clear_module_state->__pyx_kp_u__5);
  Py_CLEAR(clear_module_state->__pyx_n_s_args);
  Py_CLEAR(clear_module_state->__pyx_n_s_asyncio_coroutines);
  Py_CLEAR(clear_module_state->__pyx_n_u_b);
  Py_CLEAR(clear_module_state->__pyx_n_u_bMr);
  Py_CLEAR(clear_module_state->__pyx_n_s_board);
  Py_CLEAR(clear_module_state->__pyx_n_u_c);
  Py_CLEAR(clear_module_state->__pyx_n_u_cBm);
  Py_CLEAR(clear_module_state->__pyx_n_s_choice);
  Py_CLEAR(clear_module_state->__pyx_n_s_class_getitem);
  Py_CLEAR(clear_module_state->__pyx_n_s_cline_in_traceback);
  Py_CLEAR(clear_module_state->__pyx_n_s_close);
  Py_CLEAR(clear_module_state->__pyx_n_s_color);
  Py_CLEAR(clear_module_state->__pyx_kp_u_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_dict);
  Py_CLEAR(clear_module_state->__pyx_n_s_dict_2);
  Py_CLEAR(clear_module_state->__pyx_kp_u_disable);
  Py_CLEAR(clear_module_state->__pyx_kp_u_enable);
  Py_CLEAR(clear_module_state->__pyx_n_s_enumerate);
  Py_CLEAR(clear_module_state->__pyx_n_u_g);
  Py_CLEAR(clear_module_state->__pyx_n_u_gCb);
  Py_CLEAR(clear_module_state->__pyx_kp_u_gc);
  Py_CLEAR(clear_module_state->__pyx_n_s_genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_s_get_current_team);
  Py_CLEAR(clear_module_state->__pyx_n_s_get_legal_moves);
  Py_CLEAR(clear_module_state->__pyx_n_s_get_result);
  Py_CLEAR(clear_module_state->__pyx_n_s_get_reward);
  Py_CLEAR(clear_module_state->__pyx_n_s_getstate);
  Py_CLEAR(clear_module_state->__pyx_n_s_group);
  Py_CLEAR(clear_module_state->__pyx_n_s_has_path);
  Py_CLEAR(clear_module_state->__pyx_n_s_hexachromix_core);
  Py_CLEAR(clear_module_state->__pyx_kp_s_hexachromix_core_pyx);
  Py_CLEAR(clear_module_state->__pyx_n_s_hfen);
  Py_CLEAR(clear_module_state->__pyx_n_s_import);
  Py_CLEAR(clear_module_state->__pyx_n_s_index);
  Py_CLEAR(clear_module_state->__pyx_n_s_init___locals_lambda);
  Py_CLEAR(clear_module_state->__pyx_n_s_initializing);
  Py_CLEAR(clear_module_state->__pyx_n_s_is_coroutine);
  Py_CLEAR(clear_module_state->__pyx_n_s_is_terminal);
  Py_CLEAR(clear_module_state->__pyx_kp_u_isenabled);
  Py_CLEAR(clear_module_state->__pyx_n_s_items);
  Py_CLEAR(clear_module_state->__pyx_n_u_m);
  Py_CLEAR(clear_module_state->__pyx_n_u_mRy);
  Py_CLEAR(clear_module_state->__pyx_n_s_main);
  Py_CLEAR(clear_module_state->__pyx_n_s_make_move);
  Py_CLEAR(clear_module_state->__pyx_n_s_move);
  Py_CLEAR(clear_module_state->__pyx_n_s_name);
  Py_CLEAR(clear_module_state->__pyx_n_s_new);
  Py_CLEAR(clear_module_state->__pyx_n_s_pickle);
  Py_CLEAR(clear_module_state->__pyx_n_s_player);
  Py_CLEAR(clear_module_state->__pyx_n_s_prev);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_PickleError);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_checksum);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_result);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_state);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_type);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_unpickle_HexachromixState);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_vtable);
  Py_CLEAR(clear_module_state->__pyx_n_u_r);
  Py_CLEAR(clear_module_state->__pyx_n_u_rYg);
  Py_CLEAR(clear_module_state->__pyx_n_s_random);
  Py_CLEAR(clear_module_state->__pyx_n_s_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_re);
  Py_CLEAR(clear_module_state->__pyx_n_s_reduce);
  Py_CLEAR(clear_module_state->__pyx_n_s_reduce_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_reduce_ex);
  Py_CLEAR(clear_module_state->__pyx_n_s_replace);
  Py_CLEAR(clear_module_state->__pyx_n_s_self);
  Py_CLEAR(clear_module_state->__pyx_n_s_send);
  Py_CLEAR(clear_module_state->__pyx_n_s_setstate);
  Py_CLEAR(clear_module_state->__pyx_n_s_setstate_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_spec);
  Py_CLEAR(clear_module_state->__pyx_n_s_state);
  Py_CLEAR(clear_module_state->__pyx_kp_s_stringsource);
  Py_CLEAR(clear_module_state->__pyx_n_s_sub);
  Py_CLEAR(clear_module_state->__pyx_n_s_suggest_move);
  Py_CLEAR(clear_module_state->__pyx_n_s_test);
  Py_CLEAR(clear_module_state->__pyx_n_s_throw);
  Py_CLEAR(clear_module_state->__pyx_n_s_typing);
  Py_CLEAR(clear_module_state->__pyx_n_s_update);
  Py_CLEAR(clear_module_state->__pyx_n_s_use_setstate);
  Py_CLEAR(clear_module_state->__pyx_n_s_variant);
  Py_CLEAR(clear_module_state->__pyx_n_s_x);
  Py_CLEAR(clear_module_state->__pyx_n_u_y);
  Py_CLEAR(clear_module_state->__pyx_n_u_yGc);
  Py_CLEAR(clear_module_state->__pyx_int_0);
  Py_CLEAR(clear_module_state->__pyx_int_1);
  Py_CLEAR(clear_module_state->__pyx_int_3);
  Py_CLEAR(clear_module_state->__pyx_int_7);
  Py_CLEAR(clear_module_state->__pyx_int_12);
  Py_CLEAR(clear_module_state->__pyx_int_16);
  Py_CLEAR(clear_module_state->__pyx_int_19);
  Py_CLEAR(clear_module_state->__pyx_int_38762974);
  Py_CLEAR(clear_module_state->__pyx_int_47968760);
  Py_CLEAR(clear_module_state->__pyx_int_241084539);
  Py_CLEAR(clear_module_state->__pyx_k_);
  Py_CLEAR(clear_module_state->__pyx_k__2);
  Py_CLEAR(clear_module_state->__pyx_tuple__6);
  Py_CLEAR(clear_module_state->__pyx_tuple__7);
  Py_CLEAR(clear_module_state->__pyx_tuple__8);
  Py_CLEAR(clear_module_state->__pyx_tuple__9);
  Py_CLEAR(clear_module_state->__pyx_tuple__10);
  Py_CLEAR(clear_module_state->__pyx_tuple__11);
  Py_CLEAR(clear_module_state->__pyx_tuple__12);
  Py_CLEAR(clear_module_state->__pyx_tuple__15);
  Py_CLEAR(clear_module_state->__pyx_tuple__18);
  Py_CLEAR(clear_module_state->__pyx_tuple__21);
  Py_CLEAR(clear_module_state->__pyx_tuple__27);
  Py_CLEAR(clear_module_state->__pyx_tuple__29);
  Py_CLEAR(clear_module_state->__pyx_tuple__31);
  Py_CLEAR(clear_module_state->__pyx_tuple__33);
  Py_CLEAR(clear_module_state->__pyx_tuple__34);
  Py_CLEAR(clear_module_state->__pyx_codeobj__19);
  Py_CLEAR(clear_module_state->__pyx_codeobj__20);
  Py_CLEAR(clear_module_state->__pyx_codeobj__22);
  Py_CLEAR(clear_module_state->__pyx_codeobj__23);
  Py_CLEAR(clear_module_state->__pyx_codeobj__24);
  Py_CLEAR(clear_module_state->__pyx_codeobj__25);
  Py_CLEAR(clear_module_state->__pyx_codeobj__26);
  Py_CLEAR(clear_module_state->__pyx_codeobj__28);
  Py_CLEAR(clear_module_state->__pyx_codeobj__30);
  Py_CLEAR(clear_module_state->__pyx_codeobj__32);
  Py_CLEAR(clear_module_state->__pyx_codeobj__35);
  return 0;
}
#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
  __pyx_mstate *traverse_module_state = __pyx_mstate(m);
  if (!traverse_module_state) return 0;
  Py_VISIT(traverse_module_state->__pyx_d);
  Py_VISIT(traverse_module_state->__pyx_b);
  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
  Py_VISIT(traverse_module_state->__pyx_empty_tuple);
  Py_VISIT(traverse_module_state->__pyx_empty_bytes);
  Py_VISIT(traverse_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_VISIT(traverse_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_VISIT(traverse_module_state->__pyx_FusedFunctionType);
  #endif
  Py_VISIT(traverse_module_state->__pyx_ptype_11hexachromix_4core_HexachromixState);
  Py_VISIT(traverse_module_state->__pyx_type_11hexachromix_4core_HexachromixState);
  Py_VISIT(traverse_module_state->__pyx_ptype_11hexachromix_4core___pyx_scope_struct__genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_11hexachromix_4core___pyx_scope_struct__genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_u_B);
  Py_VISIT(traverse_module_state->__pyx_n_u_C);
  Py_VISIT(traverse_module_state->__pyx_n_u_CB);
  Py_VISIT(traverse_module_state->__pyx_n_s_CHAR2INT);
  Py_VISIT(traverse_module_state->__pyx_n_s_COLORS);
  Py_VISIT(traverse_module_state->__pyx_n_u_DRAW);
  Py_VISIT(traverse_module_state->__pyx_n_u_G);
  Py_VISIT(traverse_module_state->__pyx_n_u_GCB);
  Py_VISIT(traverse_module_state->__pyx_n_s_Hashable);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState___get___locals);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState___reduce_cython);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState___setstate_cyth);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_get_current_tea);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_get_legal_moves);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_get_result);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_get_reward);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_has_path);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_is_terminal);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_make_move);
  Py_VISIT(traverse_module_state->__pyx_n_s_HexachromixState_suggest_move);
  Py_VISIT(traverse_module_state->__pyx_n_s_INT2CHAR);
  Py_VISIT(traverse_module_state->__pyx_kp_s_Incompatible_checksums_0x_x_vs_0);
  Py_VISIT(traverse_module_state->__pyx_n_s_IndexError);
  Py_VISIT(traverse_module_state->__pyx_n_u_M);
  Py_VISIT(traverse_module_state->__pyx_n_u_MR);
  Py_VISIT(traverse_module_state->__pyx_n_u_MRY);
  Py_VISIT(traverse_module_state->__pyx_n_s_OverflowError);
  Py_VISIT(traverse_module_state->__pyx_n_s_PickleError);
  Py_VISIT(traverse_module_state->__pyx_n_u_R);
  Py_VISIT(traverse_module_state->__pyx_n_u_RYGCBM);
  Py_VISIT(traverse_module_state->__pyx_n_s_Tuple);
  Py_VISIT(traverse_module_state->__pyx_n_s_TypeError);
  Py_VISIT(traverse_module_state->__pyx_n_s_VARIANT_PLAYER_TEAM);
  Py_VISIT(traverse_module_state->__pyx_n_u_Y);
  Py_VISIT(traverse_module_state->__pyx_n_u_YG);
  Py_VISIT(traverse_module_state->__pyx_kp_u__13);
  Py_VISIT(traverse_module_state->__pyx_kp_u__14);
  Py_VISIT(traverse_module_state->__pyx_kp_u__16);
  Py_VISIT(traverse_module_state->__pyx_n_s__17);
  Py_VISIT(traverse_module_state->__pyx_kp_u__3);
  Py_VISIT(traverse_module_state->__pyx_n_s__36);
  Py_VISIT(traverse_module_state->__pyx_kp_u__4);
  Py_VISIT(traverse_module_state->__pyx_kp_u__5);
  Py_VISIT(traverse_module_state->__pyx_n_s_args);
  Py_VISIT(traverse_module_state->__pyx_n_s_asyncio_coroutines);
  Py_VISIT(traverse_module_state->__pyx_n_u_b);
  Py_VISIT(traverse_module_state->__pyx_n_u_bMr);
  Py_VISIT(traverse_module_state->__pyx_n_s_board);
  Py_VISIT(traverse_module_state->__pyx_n_u_c);
  Py_VISIT(traverse_module_state->__pyx_n_u_cBm);
  Py_VISIT(traverse_module_state->__pyx_n_s_choice);
  Py_VISIT(traverse_module_state->__pyx_n_s_class_getitem);
  Py_VISIT(traverse_module_state->__pyx_n_s_cline_in_traceback);
  Py_VISIT(traverse_module_state->__pyx_n_s_close);
  Py_VISIT(traverse_module_state->__pyx_n_s_color);
  Py_VISIT(traverse_module_state->__pyx_kp_u_d);
  Py_VISIT(traverse_module_state->__pyx_n_s_dict);
  Py_VISIT(traverse_module_state->__pyx_n_s_dict_2);
  Py_VISIT(traverse_module_state->__pyx_kp_u_disable);
  Py_VISIT(traverse_module_state->__pyx_kp_u_enable);
  Py_VISIT(traverse_module_state->__pyx_n_s_enumerate);
  Py_VISIT(traverse_module_state->__pyx_n_u_g);
  Py_VISIT(traverse_module_state->__pyx_n_u_gCb);
  Py_VISIT(traverse_module_state->__pyx_kp_u_gc);
  Py_VISIT(traverse_module_state->__pyx_n_s_genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_s_get_current_team);
  Py_VISIT(traverse_module_state->__pyx_n_s_get_legal_moves);
  Py_VISIT(traverse_module_state->__pyx_n_s_get_result);
  Py_VISIT(traverse_module_state->__pyx_n_s_get_reward);
  Py_VISIT(traverse_module_state->__pyx_n_s_getstate);
  Py_VISIT(traverse_module_state->__pyx_n_s_group);
  Py_VISIT(traverse_module_state->__pyx_n_s_has_path);
  Py_VISIT(traverse_module_state->__pyx_n_s_hexachromix_core);
  Py_VISIT(traverse_module_state->__pyx_kp_s_hexachromix_core_pyx);
  Py_VISIT(traverse_module_state->__pyx_n_s_hfen);
  Py_VISIT(traverse_module_state->__pyx_n_s_import);
  Py_VISIT(traverse_module_state->__pyx_n_s_index);
  Py_VISIT(traverse_module_state->__pyx_n_s_init___locals_lambda);
  Py_VISIT(traverse_module_state->__pyx_n_s_initializing);
  Py_VISIT(traverse_module_state->__pyx_n_s_is_coroutine);
  Py_VISIT(traverse_module_state->__pyx_n_s_is_terminal);
  Py_VISIT(traverse_module_state->__pyx_kp_u_isenabled);
  Py_VISIT(traverse_module_state->__pyx_n_s_items);
  Py_VISIT(traverse_module_state->__pyx_n_u_m);
  Py_VISIT(traverse_module_state->__pyx_n_u_mRy);
  Py_VISIT(traverse_module_state->__pyx_n_s_main);
  Py_VISIT(traverse_module_state->__pyx_n_s_make_move);
  Py_VISIT(traverse_module_state->__pyx_n_s_move);
  Py_VISIT(traverse_module_state->__pyx_n_s_name);
  Py_VISIT(traverse_module_state->__pyx_n_s_new);
  Py_VISIT(traverse_module_state->__pyx_n_s_pickle);
  Py_VISIT(traverse_module_state->__pyx_n_s_player);
  Py_VISIT(traverse_module_state->__pyx_n_s_prev);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_PickleError);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_checksum);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_result);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_state);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_type);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_unpickle_HexachromixState);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_vtable);
  Py_VISIT(traverse_module_state->__pyx_n_u_r);
  Py_VISIT(traverse_module_state->__pyx_n_u_rYg);
  Py_VISIT(traverse_module_state->__pyx_n_s_random);
  Py_VISIT(traverse_module_state->__pyx_n_s_range);
  Py_VISIT(traverse_module_state->__pyx_n_s_re);
  Py_VISIT(traverse_module_state->__pyx_n_s_reduce);
  Py_VISIT(traverse_module_state->__pyx_n_s_reduce_cython);
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}
#endif
/* #### Code section: module_state_defines ### */
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#ifdef __Pyx_Generator_USED
#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
#endif
#ifdef __Pyx_IterableCoroutine_USED
#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#define __pyx_type_11hexachromix_4core_HexachromixState __pyx_mstate_global->__pyx_type_11hexachromix_4core_HexachromixState
#define __pyx_type_11hexachromix_4core___pyx_scope_struct__genexpr __pyx_mstate_global->__pyx_type_11hexachromix_4core___pyx_scope_struct__genexpr
#endif
#define __pyx_ptype_11hexachromix_4core_HexachromixState __pyx_mstate_global->__pyx_ptype_11hexachromix_4core_HexachromixState
#define __pyx_ptype_11hexachromix_4core___pyx_scope_struct__genexpr __pyx_mstate_global->__pyx_ptype_11hexachromix_4core___pyx_scope_struct__genexpr
#define __pyx_n_u_B __pyx_mstate_global->__pyx_n_u_B
#define __pyx_n_u_C __pyx_mstate_global->__pyx_n_u_C
#define __pyx_n_u_CB __pyx_mstate_global->__pyx_n_u_CB
#define __pyx_n_s_CHAR2INT __pyx_mstate_global->__pyx_n_s_CHAR2INT
#define __pyx_n_s_COLORS __pyx_mstate_global->__pyx_n_s_COLORS
#define __pyx_n_u_DRAW __pyx_mstate_global->__pyx_n_u_DRAW
#define __pyx_n_u_G __pyx_mstate_global->__pyx_n_u_G
#define __pyx_n_u_GCB __pyx_mstate_global->__pyx_n_u_GCB
#define __pyx_n_s_Hashable __pyx_mstate_global->__pyx_n_s_Hashable
#define __pyx_n_s_HexachromixState __pyx_mstate_global->__pyx_n_s_HexachromixState
#define __pyx_n_s_HexachromixState___get___locals __pyx_mstate_global->__pyx_n_s_HexachromixState___get___locals
#define __pyx_n_s_HexachromixState___reduce_cython __pyx_mstate_global->__pyx_n_s_HexachromixState___reduce_cython
#define __pyx_n_s_HexachromixState___setstate_cyth __pyx_mstate_global->__pyx_n_s_HexachromixState___setstate_cyth
#define __pyx_n_s_HexachromixState_get_current_tea __pyx_mstate_global->__pyx_n_s_HexachromixState_get_current_tea
#define __pyx_n_s_HexachromixState_get_legal_moves __pyx_mstate_global->__pyx_n_s_HexachromixState_get_legal_moves
#define __pyx_n_s_HexachromixState_get_result __pyx_mstate_global->__pyx_n_s_HexachromixState_get_result
#define __pyx_n_s_HexachromixState_get_reward __pyx_mstate_global->__pyx_n_s_HexachromixState_get_reward
#define __pyx_n_s_HexachromixState_has_path __pyx_mstate_global->__pyx_n_s_HexachromixState_has_path
#define __pyx_n_s_HexachromixState_is_terminal __pyx_mstate_global->__pyx_n_s_HexachromixState_is_terminal
#define __pyx_n_s_HexachromixState_make_move __pyx_mstate_global->__pyx_n_s_HexachromixState_make_move
#define __pyx_n_s_HexachromixState_suggest_move __pyx_mstate_global->__pyx_n_s_HexachromixState_suggest_move
#define __pyx_n_s_INT2CHAR __pyx_mstate_global->__pyx_n_s_INT2CHAR
#define __pyx_kp_s_Incompatible_checksums_0x_x_vs_0 __pyx_mstate_global->__pyx_kp_s_Incompatible_checksums_0x_x_vs_0
#define __pyx_n_s_IndexError __pyx_mstate_global->__pyx_n_s_IndexError
#define __pyx_n_u_M __pyx_mstate_global->__pyx_n_u_M
#define __pyx_n_u_MR __pyx_mstate_global->__pyx_n_u_MR
#define __pyx_n_u_MRY __pyx_mstate_global->__pyx_n_u_MRY
#define __pyx_n_s_OverflowError __pyx_mstate_global->__pyx_n_s_OverflowError
#define __pyx_n_s_PickleError __pyx_mstate_global->__pyx_n_s_PickleError
#define __pyx_n_u_R __pyx_mstate_global->__pyx_n_u_R
#define __pyx_n_u_RYGCBM __pyx_mstate_global->__pyx_n_u_RYGCBM
#define __pyx_n_s_Tuple __pyx_mstate_global->__pyx_n_s_Tuple
#define __pyx_n_s_TypeError __pyx_mstate_global->__pyx_n_s_TypeError
#define __pyx_n_s_VARIANT_PLAYER_TEAM __pyx_mstate_global->__pyx_n_s_VARIANT_PLAYER_TEAM
#define __pyx_n_u_Y __pyx_mstate_global->__pyx_n_u_Y
#define __pyx_n_u_YG __pyx_mstate_global->__pyx_n_u_YG
#define __pyx_kp_u__13 __pyx_mstate_global->__pyx_kp_u__13
#define __pyx_kp_u__14 __pyx_mstate_global->__pyx_kp_u__14
#define __pyx_kp_u__16 __pyx_mstate_global->__pyx_kp_u__16
#define __pyx_n_s__17 __pyx_mstate_global->__pyx_n_s__17
#define __pyx_kp_u__3 __pyx_mstate_global->__pyx_kp_u__3
#define __pyx_n_s__36 __pyx_mstate_global->__pyx_n_s__36
#define __pyx_kp_u__4 __pyx_mstate_global->__pyx_kp_u__4
#define __pyx_kp_u__5 __pyx_mstate_global->__pyx_kp_u__5
#define __pyx_n_s_args __pyx_mstate_global->__pyx_n_s_args
#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
#define __pyx_n_u_b __pyx_mstate_global->__pyx_n_u_b
#define __pyx_n_u_bMr __pyx_mstate_global->__pyx_n_u_bMr
#define __pyx_n_s_board __pyx_mstate_global->__pyx_n_s_board
#define __pyx_n_u_c __pyx_mstate_global->__pyx_n_u_c
#define __pyx_n_u_cBm __pyx_mstate_global->__pyx_n_u_cBm
#define __pyx_n_s_choice __pyx_mstate_global->__pyx_n_s_choice
#define __pyx_n_s_class_getitem __pyx_mstate_global->__pyx_n_s_class_getitem
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_close __pyx_mstate_global->__pyx_n_s_close
#define __pyx_n_s_color __pyx_mstate_global->__pyx_n_s_color
#define __pyx_kp_u_d __pyx_mstate_global->__pyx_kp_u_d
#define __pyx_n_s_dict __pyx_mstate_global->__pyx_n_s_dict
#define __pyx_n_s_dict_2 __pyx_mstate_global->__pyx_n_s_dict_2
#define __pyx_kp_u_disable __pyx_mstate_global->__pyx_kp_u_disable
#define __pyx_kp_u_enable __pyx_mstate_global->__pyx_kp_u_enable
#define __pyx_n_s_enumerate __pyx_mstate_global->__pyx_n_s_enumerate
#define __pyx_n_u_g __pyx_mstate_global->__pyx_n_u_g
#define __pyx_n_u_gCb __pyx_mstate_global->__pyx_n_u_gCb
#define __pyx_kp_u_gc __pyx_mstate_global->__pyx_kp_u_gc
#define __pyx_n_s_genexpr __pyx_mstate_global->__pyx_n_s_genexpr
#define __pyx_n_s_get_current_team __pyx_mstate_global->__pyx_n_s_get_current_team
#define __pyx_n_s_get_legal_moves __pyx_mstate_global->__pyx_n_s_get_legal_moves
#define __pyx_n_s_get_result __pyx_mstate_global->__pyx_n_s_get_result
#define __pyx_n_s_get_reward __pyx_mstate_global->__pyx_n_s_get_reward
#define __pyx_n_s_getstate __pyx_mstate_global->__pyx_n_s_getstate
#define __pyx_n_s_group __pyx_mstate_global->__pyx_n_s_group
#define __pyx_n_s_has_path __pyx_mstate_global->__pyx_n_s_has_path
#define __pyx_n_s_hexachromix_core __pyx_mstate_global->__pyx_n_s_hexachromix_core
#define __pyx_kp_s_hexachromix_core_pyx __pyx_mstate_global->__pyx_kp_s_hexachromix_core_pyx
#define __pyx_n_s_hfen __pyx_mstate_global->__pyx_n_s_hfen
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_index __pyx_mstate_global->__pyx_n_s_index
#define __pyx_n_s_init___locals_lambda __pyx_mstate_global->__pyx_n_s_init___locals_lambda
#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
#define __pyx_n_s_is_terminal __pyx_mstate_global->__pyx_n_s_is_terminal
#define __pyx_kp_u_isenabled __pyx_mstate_global->__pyx_kp_u_isenabled
#define __pyx_n_s_items __pyx_mstate_global->__pyx_n_s_items
#define __pyx_n_u_m __pyx_mstate_global->__pyx_n_u_m
#define __pyx_n_u_mRy __pyx_mstate_global->__pyx_n_u_mRy
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_make_move __pyx_mstate_global->__pyx_n_s_make_move
#define __pyx_n_s_move __pyx_mstate_global->__pyx_n_s_move
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_new __pyx_mstate_global->__pyx_n_s_new
#define __pyx_n_s_pickle __pyx_mstate_global->__pyx_n_s_pickle
#define __pyx_n_s_player __pyx_mstate_global->__pyx_n_s_player
#define __pyx_n_s_prev __pyx_mstate_global->__pyx_n_s_prev
#define __pyx_n_s_pyx_PickleError __pyx_mstate_global->__pyx_n_s_pyx_PickleError
#define __pyx_n_s_pyx_checksum __pyx_mstate_global->__pyx_n_s_pyx_checksum
#define __pyx_n_s_pyx_result __pyx_mstate_global->__pyx_n_s_pyx_result
#define __pyx_n_s_pyx_state __pyx_mstate_global->__pyx_n_s_pyx_state
#define __pyx_n_s_pyx_type __pyx_mstate_global->__pyx_n_s_pyx_type
#define __pyx_n_s_pyx_unpickle_HexachromixState __pyx_mstate_global->__pyx_n_s_pyx_unpickle_HexachromixState
#define __pyx_n_s_pyx_vtable __pyx_mstate_global->__pyx_n_s_pyx_vtable
#define __pyx_n_u_r __pyx_mstate_global->__pyx_n_u_r
#define __pyx_n_u_rYg __pyx_mstate_global->__pyx_n_u_rYg
#define __pyx_n_s_random __pyx_mstate_global->__pyx_n_s_random
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_re __pyx_mstate_global->__pyx_n_s_re
#define __pyx_n_s_reduce __pyx_mstate_global->__pyx_n_s_reduce
#define __pyx_n_s_reduce_cython __pyx_mstate_global->__pyx_n_s_reduce_cython
#define __pyx_n_s_reduce_ex __pyx_mstate_global->__pyx_n_s_reduce_ex
#define __pyx_n_s_replace __pyx_mstate_global->__pyx_n_s_replace
#define __pyx_n_s_self __pyx_mstate_global->__pyx_n_s_self
#define __pyx_n_s_send __pyx_mstate_global->__pyx_n_s_send
#define __pyx_n_s_setstate __pyx_mstate_global->__pyx_n_s_setstate
#define __pyx_n_s_setstate_cython __pyx_mstate_global->__pyx_n_s_setstate_cython
#define __pyx_n_s_spec __pyx_mstate_global->__pyx_n_s_spec
#define __pyx_n_s_state __pyx_mstate_global->__pyx_n_s_state
#define __pyx_kp_s_stringsource __pyx_mstate_global->__pyx_kp_s_stringsource
#define __pyx_n_s_sub __pyx_mstate_global->__pyx_n_s_sub
#define __pyx_n_s_suggest_move __pyx_mstate_global->__pyx_n_s_suggest_move
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_throw __pyx_mstate_global->__pyx_n_s_throw
#define __pyx_n_s_typing __pyx_mstate_global->__pyx_n_s_typing
#define __pyx_n_s_update __pyx_mstate_global->__pyx_n_s_update
#define __pyx_n_s_use_setstate __pyx_mstate_global->__pyx_n_s_use_setstate
#define __pyx_n_s_variant __pyx_mstate_global->__pyx_n_s_variant
#define __pyx_n_s_x __pyx_mstate_global->__pyx_n_s_x
#define __pyx_n_u_y __pyx_mstate_global->__pyx_n_u_y
#define __pyx_n_u_yGc __pyx_mstate_global->__pyx_n_u_yGc
#define __pyx_int_0 __pyx_mstate_global->__pyx_int_0
#define __pyx_int_1 __pyx_mstate_global->__pyx_int_1
#define __pyx_int_3 __pyx_mstate_global->__pyx_int_3
#define __pyx_int_7 __pyx_mstate_global->__pyx_int_7
#define __pyx_int_12 __pyx_mstate_global->__pyx_int_12
#define __pyx_int_16 __pyx_mstate_global->__pyx_int_16
#define __pyx_int_19 __pyx_mstate_global->__pyx_int_19
#define __pyx_int_38762974 __pyx_mstate_global->__pyx_int_38762974
#define __pyx_int_47968760 __pyx_mstate_global->__pyx_int_47968760
#define __pyx_int_241084539 __pyx_mstate_global->__pyx_int_241084539
#define __pyx_k_ __pyx_mstate_global->__pyx_k_
#define __pyx_k__2 __pyx_mstate_global->__pyx_k__2
#define __pyx_tuple__6 __pyx_mstate_global->__pyx_tuple__6
#define __pyx_tuple__7 __pyx_mstate_global->__pyx_tuple__7
#define __pyx_tuple__8 __pyx_mstate_global->__pyx_tuple__8
#define __pyx_tuple__9 __pyx_mstate_global->__pyx_tuple__9
#define __pyx_tuple__10 __pyx_mstate_global->__pyx_tuple__10
#define __pyx_tuple__11 __pyx_mstate_global->__pyx_tuple__11
#define __pyx_tuple__12 __pyx_mstate_global->__pyx_tuple__12
#define __pyx_tuple__15 __pyx_mstate_global->__pyx_tuple__15
#define __pyx_tuple__18 __pyx_mstate_global->__pyx_tuple__18
#define __pyx_tuple__21 __pyx_mstate_global->__pyx_tuple__21
#define __pyx_tuple__27 __pyx_mstate_global->__pyx_tuple__27
#define __pyx_tuple__29 __pyx_mstate_global->__pyx_tuple__29
#define __pyx_tuple__31 __pyx_mstate_global->__pyx_tuple__31
#define __pyx_tuple__33 __pyx_mstate_global->__pyx_tuple__33
#define __pyx_tuple__34 __pyx_mstate_global->__pyx_tuple__34
#define __pyx_codeobj__19 __pyx_mstate_global->__pyx_codeobj__19
#define __pyx_codeobj__20 __pyx_mstate_global->__pyx_codeobj__20
#define __pyx_codeobj__22 __pyx_mstate_global->__pyx_codeobj__22
#define __pyx_codeobj__23 __pyx_mstate_global->__pyx_codeobj__23
#define __pyx_codeobj__24 __pyx_mstate_global->__pyx_codeobj__24
#define __pyx_codeobj__25 __pyx_mstate_global->__pyx_codeobj__25
#define __pyx_codeobj__26 __pyx_mstate_global->__pyx_codeobj__26
#define __pyx_codeobj__28 __pyx_mstate_global->__pyx_codeobj__28
#define __pyx_codeobj__30 __pyx_mstate_global->__pyx_codeobj__30
#define __pyx_codeobj__32 __pyx_mstate_global->__pyx_codeobj__32
#define __pyx_codeobj__35 __pyx_mstate_global->__pyx_codeobj__35
/* #### Code section: module_code ### */
static PyObject *__pyx_gb_11hexachromix_4core_8genexpr1_2generator(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "hexachromix/core.pyx":16
 * VARIANT_PLAYER_TEAM = {
 *     variant: {
 *         c: next(team for team in teams if c in team)             # <<<<<<<<<<<<<<
 *         for c in COLORS
 *     }
 */

static PyObject *__pyx_pf_11hexachromix_4core_8genexpr1_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_11hexachromix_4core___pyx_scope_struct__genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
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 * cdef unsigned char[19][6] ADJACENCIES = [
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  /* "hexachromix/core.pyx":159
 *     [1,5,6,255],
 *     [0,4,7,8,255],
 *     [0,1,3,5,8,9],             # <<<<<<<<<<<<<<
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 *     [0,4,7,8,255],
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  /* "hexachromix/core.pyx":162
 *     [1,2,4,6,9,10],
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  /* "hexachromix/core.pyx":163
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 *     [3,4,7,9,12,13],             # <<<<<<<<<<<<<<
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  /* "hexachromix/core.pyx":164
 *     [3,8,12,255],
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 *     [4,5,8,10,13,14],             # <<<<<<<<<<<<<<
 *     [5,6,9,11,14,15],
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 */
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  __pyx_t_30[1] = 5;
  __pyx_t_30[2] = 8;
  __pyx_t_30[3] = 10;
  __pyx_t_30[4] = 13;
  __pyx_t_30[5] = 14;

  /* "hexachromix/core.pyx":165
 *     [3,4,7,9,12,13],
 *     [4,5,8,10,13,14],
 *     [5,6,9,11,14,15],             # <<<<<<<<<<<<<<
 *     [6,10,15,255],
 *     [7,8,13,16,255],
 */
  __pyx_t_31[0] = 5;
  __pyx_t_31[1] = 6;
  __pyx_t_31[2] = 9;
  __pyx_t_31[3] = 11;
  __pyx_t_31[4] = 14;
  __pyx_t_31[5] = 15;

  /* "hexachromix/core.pyx":166
 *     [4,5,8,10,13,14],
 *     [5,6,9,11,14,15],
 *     [6,10,15,255],             # <<<<<<<<<<<<<<
 *     [7,8,13,16,255],
 *     [8,9,12,14,16,17],
 */
  __pyx_t_32[0] = 6;
  __pyx_t_32[1] = 10;
  __pyx_t_32[2] = 15;
  __pyx_t_32[3] = 0xFF;

  /* "hexachromix/core.pyx":167
 *     [5,6,9,11,14,15],
 *     [6,10,15,255],
 *     [7,8,13,16,255],             # <<<<<<<<<<<<<<
 *     [8,9,12,14,16,17],
 *     [9,10,13,15,17,18],
 */
  __pyx_t_33[0] = 7;
  __pyx_t_33[1] = 8;
  __pyx_t_33[2] = 13;
  __pyx_t_33[3] = 16;
  __pyx_t_33[4] = 0xFF;

  /* "hexachromix/core.pyx":168
 *     [6,10,15,255],
 *     [7,8,13,16,255],
 *     [8,9,12,14,16,17],             # <<<<<<<<<<<<<<
 *     [9,10,13,15,17,18],
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 */
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  __pyx_t_34[1] = 9;
  __pyx_t_34[2] = 12;
  __pyx_t_34[3] = 14;
  __pyx_t_34[4] = 16;
  __pyx_t_34[5] = 17;

  /* "hexachromix/core.pyx":169
 *     [7,8,13,16,255],
 *     [8,9,12,14,16,17],
 *     [9,10,13,15,17,18],             # <<<<<<<<<<<<<<
 *     [10,11,14,18,255],
 *     [12,13,17,255],
 */
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  __pyx_t_35[1] = 10;
  __pyx_t_35[2] = 13;
  __pyx_t_35[3] = 15;
  __pyx_t_35[4] = 17;
  __pyx_t_35[5] = 18;

  /* "hexachromix/core.pyx":170
 *     [8,9,12,14,16,17],
 *     [9,10,13,15,17,18],
 *     [10,11,14,18,255],             # <<<<<<<<<<<<<<
 *     [12,13,17,255],
 *     [13,14,16,18,255],
 */
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  __pyx_t_36[1] = 11;
  __pyx_t_36[2] = 14;
  __pyx_t_36[3] = 18;
  __pyx_t_36[4] = 0xFF;

  /* "hexachromix/core.pyx":171
 *     [9,10,13,15,17,18],
 *     [10,11,14,18,255],
 *     [12,13,17,255],             # <<<<<<<<<<<<<<
 *     [13,14,16,18,255],
 *     [14,15,17,255],
 */
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  __pyx_t_37[1] = 13;
  __pyx_t_37[2] = 17;
  __pyx_t_37[3] = 0xFF;

  /* "hexachromix/core.pyx":172
 *     [10,11,14,18,255],
 *     [12,13,17,255],
 *     [13,14,16,18,255],             # <<<<<<<<<<<<<<
 *     [14,15,17,255],
 * ]
 */
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  __pyx_t_38[1] = 14;
  __pyx_t_38[2] = 16;
  __pyx_t_38[3] = 18;
  __pyx_t_38[4] = 0xFF;

  /* "hexachromix/core.pyx":173
 *     [12,13,17,255],
 *     [13,14,16,18,255],
 *     [14,15,17,255],             # <<<<<<<<<<<<<<
 * ]
 * 
 */
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  __pyx_t_39[1] = 15;
  __pyx_t_39[2] = 17;
  __pyx_t_39[3] = 0xFF;

  /* "hexachromix/core.pyx":154
 * """
 * # 255 is the sentinel value used in bfs to indicate "no more neighbors".
 * cdef unsigned char[19][6] ADJACENCIES = [             # <<<<<<<<<<<<<<
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 */
  memcpy(&(__pyx_t_40[0]), __pyx_t_21, sizeof(__pyx_t_40[0]));
  memcpy(&(__pyx_t_40[1]), __pyx_t_22, sizeof(__pyx_t_40[0]));
  memcpy(&(__pyx_t_40[2]), __pyx_t_23, sizeof(__pyx_t_40[0]));
  memcpy(&(__pyx_t_40[3]), __pyx_t_24, sizeof(__pyx_t_40[0]));
  memcpy(&(__pyx_t_40[4]), __pyx_t_25, sizeof(__pyx_t_40[0]));
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  memcpy(&(__pyx_t_40[16]), __pyx_t_37, sizeof(__pyx_t_40[0]));
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  /* "hexachromix/core.pyx":177
 * 
 * cdef unsigned char[6][2][3] SIDES = [
 *     [[0,1,2], [16,17,18]],             # <<<<<<<<<<<<<<
 *     [[2,6,11], [7,12,16]],
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 */
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  __pyx_t_41[2] = 2;
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  /* "hexachromix/core.pyx":178
 * cdef unsigned char[6][2][3] SIDES = [
 *     [[0,1,2], [16,17,18]],
 *     [[2,6,11], [7,12,16]],             # <<<<<<<<<<<<<<
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 */
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  /* "hexachromix/core.pyx":179
 *     [[0,1,2], [16,17,18]],
 *     [[2,6,11], [7,12,16]],
 *     [[11,15,18], [0,3,7]],             # <<<<<<<<<<<<<<
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 */
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  /* "hexachromix/core.pyx":180
 *     [[2,6,11], [7,12,16]],
 *     [[11,15,18], [0,3,7]],
 *     [[0,1,2], [16,17,18]],             # <<<<<<<<<<<<<<
 *     [[2,6,11], [7,12,16]],
 *     [[11,15,18], [0,3,7]],
 */
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  /* "hexachromix/core.pyx":181
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 *     [[0,1,2], [16,17,18]],
 *     [[2,6,11], [7,12,16]],             # <<<<<<<<<<<<<<
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 *     [[0,1,2], [16,17,18]],
 *     [[2,6,11], [7,12,16]],
 *     [[11,15,18], [0,3,7]],             # <<<<<<<<<<<<<<
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 */
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  /* "hexachromix/core.pyx":176
 * ]
 * 
 * cdef unsigned char[6][2][3] SIDES = [             # <<<<<<<<<<<<<<
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 */
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 * ]
 * 
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    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* TupleAndListFromArray */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        Py_INCREF(__pyx_empty_tuple);
        return __pyx_empty_tuple;
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    return res;
}
static CYTHON_INLINE PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return PyList_New(0);
    }
    res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    return res;
}
#endif

/* BytesEquals */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* fastcall */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = PyTuple_GET_SIZE(kwnames);
    for (i = 0; i < n; i++)
    {
        if (s == PyTuple_GET_ITEM(kwnames, i)) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        int eq = __Pyx_PyUnicode_Equals(s, PyTuple_GET_ITEM(kwnames, i), Py_EQ);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;  // error
            return kwvalues[i];
        }
    }
    return NULL;  // not found (no exception set)
}
#endif

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
    while (1) {
        if (kwds_is_tuple) {
            if (pos >= PyTuple_GET_SIZE(kwds)) break;
            key = PyTuple_GET_ITEM(kwds, pos);
            value = kwvalues[pos];
            pos++;
        }
        else
        {
            if (!PyDict_Next(kwds, &pos, &key, &value)) break;
        }
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key)
                );
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    __Pyx_TypeName type_name;
    __Pyx_TypeName obj_type_name;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    type_name = __Pyx_PyType_GetName(type);
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME
        ", got " __Pyx_FMT_TYPENAME ")", name, type_name, obj_type_name);
    __Pyx_DECREF_TypeName(type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall */
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]);
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
    Py_DECREF(argstuple);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
#if defined(__Pyx_CyFunction_USED) && defined(NDEBUG)
        if (__Pyx_IsCyOrPyCFunction(func))
#else
        if (PyCFunction_Check(func))
#endif
        {
            if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
                return __Pyx_PyObject_CallMethO(func, NULL);
            }
        }
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (PyCFunction_Check(func))
        {
            if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
                return __Pyx_PyObject_CallMethO(func, args[0]);
            }
        }
    }
#endif
    #if PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    #if PY_VERSION_HEX >= 0x030700A1
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    #if CYTHON_VECTORCALL
    vectorcallfunc f = _PyVectorcall_Function(func);
    if (f) {
        return f(func, args, (size_t)nargs, kwargs);
    }
    #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
    if (__Pyx_CyFunction_CheckExact(func)) {
        __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
        if (f) return f(func, args, (size_t)nargs, kwargs);
    }
    #endif
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
    }
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
}

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* RaiseUnexpectedTypeError */
static int
__Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
{
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError, "Expected %s, got " __Pyx_FMT_TYPENAME,
                 expected, obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* PyDictVersioning */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#elif CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* FixUpExtensionType */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
#else
    const PyType_Slot *slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
        int changed = 0;
#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
        const
#endif
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
#if PY_VERSION_HEX < 0x030900b1
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    changed = 1;
                }
#endif
#else
                if ((0));
#endif
#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
                        Py_DECREF(descr);
                        return -1;
                    }
                    Py_DECREF(descr);
                    changed = 1;
                }
#endif
            }
            memb++;
        }
        if (changed)
            PyType_Modified(type);
    }
#endif
    return 0;
}
#endif

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    PyObject *abi_module = PyImport_AddModule((char*) __PYX_ABI_MODULE_NAME);
    if (unlikely(!abi_module)) return NULL;
    Py_INCREF(abi_module);
    return abi_module;
}

/* FetchCommonType */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t basicsize,
                               Py_ssize_t expected_basicsize) {
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* abi_module;
    const char* object_name;
    PyTypeObject *cached_type = NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    object_name = strrchr(type->tp_name, '.');
    object_name = object_name ? object_name+1 : type->tp_name;
    cached_type = (PyTypeObject*) PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        if (__Pyx_VerifyCachedType(
              (PyObject *)cached_type,
              object_name,
              cached_type->tp_basicsize,
              type->tp_basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    if (PyType_Ready(type) < 0) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, (PyObject *)type) < 0)
        goto bad;
    Py_INCREF(type);
    cached_type = type;
done:
    Py_DECREF(abi_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#else
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module, *cached_type = NULL;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    cached_type = PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        Py_ssize_t basicsize;
#if CYTHON_COMPILING_IN_LIMITED_API
        PyObject *py_basicsize;
        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
        if (unlikely(!py_basicsize)) goto bad;
        basicsize = PyLong_AsSsize_t(py_basicsize);
        Py_DECREF(py_basicsize);
        py_basicsize = 0;
        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
#else
        basicsize = likely(PyType_Check(cached_type)) ? ((PyTypeObject*) cached_type)->tp_basicsize : -1;
#endif
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              basicsize,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    CYTHON_UNUSED_VAR(module);
    cached_type = __Pyx_PyType_FromModuleAndSpec(abi_module, spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, cached_type) < 0) goto bad;
done:
    Py_DECREF(abi_module);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#endif

/* PyVectorcallFastCallDict */
#if CYTHON_METH_FASTCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i, pos;
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (PyDict_Next(kw, &pos, &key, &value)) {
        keys_are_strings &= Py_TYPE(key)->tp_flags;
        Py_INCREF(key);
        Py_INCREF(value);
        PyTuple_SET_ITEM(kwnames, i, key);
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    if (likely(kw == NULL) || PyDict_GET_SIZE(kw) == 0) {
        return vc(func, args, nargs, NULL);
    }
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared */
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
{
    CYTHON_UNUSED_VAR(closure);
    if (unlikely(op->func_doc == NULL)) {
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_tuple;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_kwdict;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->func_annotations;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    int is_coroutine;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
#if PY_VERSION_HEX >= 0x03050000
    if (is_coroutine) {
        PyObject *module, *fromlist, *marker = __pyx_n_s_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
        PyList_SET_ITEM(fromlist, 0, marker);
        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(op->func_is_coroutine)) {
            return __Pyx_NewRef(op->func_is_coroutine);
        }
ignore:
        PyErr_Clear();
    }
#endif
    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
    return __Pyx_NewRef(op->func_is_coroutine);
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#endif
#if PY_VERSION_HEX < 0x030500A0
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    CYTHON_UNUSED_VAR(args);
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(((PyCFunctionObject*)m)->m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    cf->m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
#if PY_MAJOR_VERSION > 2
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
#else
            PyErr_SetString(PyExc_TypeError,
                            "unbound method needs an argument");
#endif
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
                         ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
        PyErr_Format(PyExc_TypeError,
                     "%.200s() takes no keyword arguments", ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if (defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
#if !CYTHON_METH_FASTCALL
    0,
#elif CYTHON_BACKPORT_VECTORCALL
    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
#else
    offsetof(PyCFunctionObject, vectorcall),
#endif
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#ifdef _Py_TPFLAGS_HAVE_VECTORCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_PyMethod_New,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
#endif
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!j)) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_subscript) {
            PyObject *r, *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return sm->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* PyObjectCallOneArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *args[2] = {NULL, arg};
    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject *index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetName(Py_TYPE(index));
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer", index_type_name);
        __Pyx_DECREF_TypeName(index_type_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    __Pyx_TypeName obj_type_name;
    if (likely(PyType_Check(obj))) {
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_n_s_class_getitem);
        if (meth) {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key) {
    PyTypeObject *tp = Py_TYPE(obj);
    PyMappingMethods *mm = tp->tp_as_mapping;
    PySequenceMethods *sm = tp->tp_as_sequence;
    if (likely(mm && mm->mp_subscript)) {
        return mm->mp_subscript(obj, key);
    }
    if (likely(sm && sm->sq_item)) {
        return __Pyx_PyObject_GetIndex(obj, key);
    }
    return __Pyx_PyObject_GetItem_Slow(obj, key);
}
#endif

/* RaiseNoneIterError */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* SliceObject */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, int wraparound) {
    __Pyx_TypeName obj_type_name;
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#else
    CYTHON_UNUSED_VAR(wraparound);
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#else
    CYTHON_UNUSED_VAR(wraparound);
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is unsliceable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
bad:
    return NULL;
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind, kind_shift;
    Py_ssize_t i, char_pos;
    void *result_udata;
    CYTHON_MAYBE_UNUSED_VAR(max_char);
#if CYTHON_PEP393_ENABLED
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    kind_shift = (result_ukind == PyUnicode_4BYTE_KIND) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_DATA(result_uval);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    kind_shift = (result_ukind == 4) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        if (unlikely(!ulength))
            continue;
        if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - ulength < char_pos))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (!CYTHON_PEP393_ENABLED || ukind == result_ukind) {
            memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
        } else {
            #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030300F0 || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    CYTHON_UNUSED_VAR(max_char);
    CYTHON_UNUSED_VAR(result_ulength);
    CYTHON_UNUSED_VAR(value_count);
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* KeywordStringCheck */
static int __Pyx_CheckKeywordStrings(
    PyObject *kw,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
#if CYTHON_COMPILING_IN_PYPY
    if (!kw_allowed && PyDict_Next(kw, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kw))) {
        if (unlikely(PyTuple_GET_SIZE(kw) == 0))
            return 1;
        if (!kw_allowed) {
            key = PyTuple_GET_ITEM(kw, 0);
            goto invalid_keyword;
        }
#if PY_VERSION_HEX < 0x03090000
        for (pos = 0; pos < PyTuple_GET_SIZE(kw); pos++) {
            key = PyTuple_GET_ITEM(kw, pos);
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
        }
#endif
        return 1;
    }
    while (PyDict_Next(kw, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_Check(key)))
        #endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
    }
    if (!kw_allowed && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    return 0;
#endif
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    __Pyx_TypeName obj_type_name;
    __Pyx_TypeName type_name;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    type_name = __Pyx_PyType_GetName(type);
    PyErr_Format(PyExc_TypeError,
                 "Cannot convert " __Pyx_FMT_TYPENAME " to " __Pyx_FMT_TYPENAME,
                 obj_type_name, type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    __Pyx_DECREF_TypeName(type_name);
    return 0;
}

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (unlikely(!j)) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_ass_subscript) {
            int r;
            PyObject *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return -1;
            r = mm->mp_ass_subscript(o, key, v);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return sm->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o)))
#else
    if (is_list || PySequence_Check(o))
#endif
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* ModInt[long] */
static CYTHON_INLINE long __Pyx_mod_long(long a, long b) {
    long r = a % b;
    r += ((r != 0) & ((r ^ b) < 0)) * b;
    return r;
}

/* GetAttr3 */
static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r;
#if CYTHON_USE_TYPE_SLOTS
    if (likely(PyString_Check(n))) {
        r = __Pyx_PyObject_GetAttrStrNoError(o, n);
        if (unlikely(!r) && likely(!PyErr_Occurred())) {
            r = __Pyx_NewRef(d);
        }
        return r;
    }
#endif
    r = PyObject_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *empty_list = 0;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (unlikely(!py_import))
        goto bad;
    if (!from_list) {
        empty_list = PyList_New(0);
        if (unlikely(!empty_list))
            goto bad;
        from_list = empty_list;
    }
    #endif
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                #if CYTHON_COMPILING_IN_LIMITED_API
                module = PyImport_ImportModuleLevelObject(
                    name, empty_dict, empty_dict, from_list, 1);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, __pyx_d, empty_dict, from_list, 1);
                #endif
                if (unlikely(!module)) {
                    if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (unlikely(!py_level))
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, __pyx_d, empty_dict, from_list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            #if CYTHON_COMPILING_IN_LIMITED_API
            module = PyImport_ImportModuleLevelObject(
                name, empty_dict, empty_dict, from_list, level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, __pyx_d, empty_dict, from_list, level);
            #endif
            #endif
        }
    }
bad:
    Py_XDECREF(empty_dict);
    Py_XDECREF(empty_list);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    return module;
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_kp_u__16);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    __Pyx_PyThreadState_declare
    CYTHON_UNUSED_VAR(cause);
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
      #if PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
      #elif CYTHON_FAST_THREAD_STATE
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#else
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* HasAttr */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (!r) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* PyObjectCallNoArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg = NULL;
    return __Pyx_PyObject_FastCall(func, (&arg)+1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    __Pyx_TypeName type_name;
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if defined(Py_TPFLAGS_METHOD_DESCRIPTOR) && Py_TPFLAGS_METHOD_DESCRIPTOR
        if (__Pyx_PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_METHOD_DESCRIPTOR))
#elif PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (likely(descr != NULL)) {
        *method = descr;
        return 0;
    }
    type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

/* ValidateBasesTuple */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
    Py_ssize_t i, n = PyTuple_GET_SIZE(bases);
    for (i = 1; i < n; i++)
    {
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
        PyTypeObject *b;
#if PY_MAJOR_VERSION < 3
        if (PyClass_Check(b0))
        {
            PyErr_Format(PyExc_TypeError, "base class '%.200s' is an old-style class",
                         PyString_AS_STRING(((PyClassObject*)b0)->cl_name));
            return -1;
        }
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
            return -1;
        }
        if (dictoffset == 0 && b->tp_dictoffset)
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "extension type '%.200s' has no __dict__ slot, "
                "but base type '" __Pyx_FMT_TYPENAME "' has: "
                "either add 'cdef dict __dict__' to the extension type "
                "or add '__slots__ = [...]' to the base type",
                type_name, b_name);
            __Pyx_DECREF_TypeName(b_name);
            return -1;
        }
    }
    return 0;
}
#endif

/* PyType_Ready */
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !(CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API) || defined(PYSTON_MAJOR_VERSION)
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if PY_VERSION_HEX >= 0x030700a1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400)
        gc = PyImport_GetModule(__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
#else
        (void)__Pyx_PyObject_CallMethod0;
#endif
    r = PyType_Ready(t);
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif
    return r;
#endif
}

/* PyObject_GenericGetAttrNoDict */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, attr_name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(attr_name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PyObject_GenericGetAttr */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

/* SetVTable */
static int __Pyx_SetVtable(PyTypeObject *type, void *vtable) {
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
    if (unlikely(!ob))
        goto bad;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(PyObject_SetAttr((PyObject *) type, __pyx_n_s_pyx_vtable, ob) < 0))
#else
    if (unlikely(PyDict_SetItem(type->tp_dict, __pyx_n_s_pyx_vtable, ob) < 0))
#endif
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* GetVTable */
static void* __Pyx_GetVtable(PyTypeObject *type) {
    void* ptr;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *ob = PyObject_GetAttr((PyObject *)type, __pyx_n_s_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_n_s_pyx_vtable);
#endif
    if (!ob)
        goto bad;
    ptr = PyCapsule_GetPointer(ob, 0);
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

/* MergeVTables */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i;
    void** base_vtables;
    __Pyx_TypeName tp_base_name;
    __Pyx_TypeName base_name;
    void* unknown = (void*)-1;
    PyObject* bases = type->tp_bases;
    int base_depth = 0;
    {
        PyTypeObject* base = type->tp_base;
        while (base) {
            base_depth += 1;
            base = base->tp_base;
        }
    }
    base_vtables = (void**) malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
    for (i = 1; i < PyTuple_GET_SIZE(bases); i++) {
        void* base_vtable = __Pyx_GetVtable(((PyTypeObject*)PyTuple_GET_ITEM(bases, i)));
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = type->tp_base;
            for (j = 0; j < base_depth; j++) {
                if (base_vtables[j] == unknown) {
                    base_vtables[j] = __Pyx_GetVtable(base);
                    base_vtables[j + 1] = unknown;
                }
                if (base_vtables[j] == base_vtable) {
                    break;
                } else if (base_vtables[j] == NULL) {
                    goto bad;
                }
                base = base->tp_base;
            }
        }
    }
    PyErr_Clear();
    free(base_vtables);
    return 0;
bad:
    tp_base_name = __Pyx_PyType_GetName(type->tp_base);
    base_name = __Pyx_PyType_GetName((PyTypeObject*)PyTuple_GET_ITEM(bases, i));
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
    free(base_vtables);
    return -1;
}
#endif

/* SetupReduce */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_n_s_name);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_getstate = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
    PyObject *getstate = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    getstate = _PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate);
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_getstate);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_getstate);
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_n_s_getstate);
        if (!object_getstate && PyErr_Occurred()) {
            goto __PYX_BAD;
        }
#endif
        if (object_getstate != getstate) {
            goto __PYX_GOOD;
        }
    }
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred()) {
        __Pyx_TypeName type_obj_name =
            __Pyx_PyType_GetName((PyTypeObject*)type_obj);
        PyErr_Format(PyExc_RuntimeError,
            "Unable to initialize pickling for " __Pyx_FMT_TYPENAME, type_obj_name);
        __Pyx_DECREF_TypeName(type_obj_name);
    }
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
    Py_XDECREF(object_getstate);
    Py_XDECREF(getstate);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
#endif

/* ImportDottedModule */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
#if PY_MAJOR_VERSION < 3
        PyExc_ImportError,
        "No module named '%s'", PyString_AS_STRING(partial_name));
#else
#if PY_VERSION_HEX >= 0x030600B1
        PyExc_ModuleNotFoundError,
#else
        PyExc_ImportError,
#endif
        "No module named '%U'", partial_name);
#endif
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
    nparts = PyTuple_GET_SIZE(parts_tuple);
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = PySequence_ITEM(parts_tuple, i);
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (unlikely(!module)) {
        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
    }
    return module;
}
#endif
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if PY_MAJOR_VERSION < 3
    PyObject *module, *from_list, *star = __pyx_n_s__17;
    CYTHON_UNUSED_VAR(parts_tuple);
    from_list = PyList_New(1);
    if (unlikely(!from_list))
        return NULL;
    Py_INCREF(star);
    PyList_SET_ITEM(from_list, 0, star);
    module = __Pyx_Import(name, from_list, 0);
    Py_DECREF(from_list);
    return module;
#else
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
#endif
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    PyObject* exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (unlikely(exc_type)) {
        if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return -1;
        __Pyx_PyErr_Clear();
        return 0;
    }
    return 0;
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    }
    return __Pyx_IterFinish();
}

/* UnpackTupleError */
static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else if (PyTuple_GET_SIZE(t) < index) {
      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
    } else {
      __Pyx_RaiseTooManyValuesError(index);
    }
}

/* UnpackTuple2 */
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_COMPILING_IN_PYPY
    value1 = PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
#else
    value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
    value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
#endif
    if (decref_tuple) {
        Py_DECREF(tuple);
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
#if CYTHON_COMPILING_IN_PYPY
bad:
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
#endif
}
static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                       int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    iternextfunc iternext;
    iter = PyObject_GetIter(tuple);
    if (unlikely(!iter)) goto bad;
    if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
    iternext = __Pyx_PyObject_GetIterNextFunc(iter);
    value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
    value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
    if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
    Py_DECREF(iter);
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}

/* dict_iter */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#elif PY_MAJOR_VERSION >= 3
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        PyObject **pp = NULL;
        if (method_name) {
            const char *name = PyUnicode_AsUTF8(method_name);
            if (strcmp(name, "iteritems") == 0) pp = &py_items;
            else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
            else if (strcmp(name, "itervalues") == 0) pp = &py_values;
            if (pp) {
                if (!*pp) {
                    *pp = PyUnicode_FromString(name + 4);
                    if (!*pp)
                        return NULL;
                }
                method_name = *pp;
            }
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        PyObject *key, *value;
        if (unlikely(orig_length != PyDict_Size(iter_obj))) {
            PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
            return -1;
        }
        if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
            return 0;
        }
        if (pitem) {
            PyObject* tuple = PyTuple_New(2);
            if (unlikely(!tuple)) {
                return -1;
            }
            Py_INCREF(key);
            Py_INCREF(value);
            PyTuple_SET_ITEM(tuple, 0, key);
            PyTuple_SET_ITEM(tuple, 1, value);
            *pitem = tuple;
        } else {
            if (pkey) {
                Py_INCREF(key);
                *pkey = key;
            }
            if (pvalue) {
                Py_INCREF(value);
                *pvalue = value;
            }
        }
        return 1;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}

/* IterNext */
static PyObject *__Pyx_PyIter_Next2Default(PyObject* defval) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (unlikely(exc_type)) {
        if (!defval || unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return NULL;
        __Pyx_PyErr_Clear();
        Py_INCREF(defval);
        return defval;
    }
    if (defval) {
        Py_INCREF(defval);
        return defval;
    }
    __Pyx_PyErr_SetNone(PyExc_StopIteration);
    return NULL;
}
static void __Pyx_PyIter_Next_ErrorNoIterator(PyObject *iterator) {
    __Pyx_TypeName iterator_type_name = __Pyx_PyType_GetName(Py_TYPE(iterator));
    PyErr_Format(PyExc_TypeError,
        __Pyx_FMT_TYPENAME " object is not an iterator", iterator_type_name);
    __Pyx_DECREF_TypeName(iterator_type_name);
}
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject* iterator, PyObject* defval) {
    PyObject* next;
    iternextfunc iternext = Py_TYPE(iterator)->tp_iternext;
    if (likely(iternext)) {
#if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
        next = iternext(iterator);
        if (likely(next))
            return next;
#if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(iternext == &_PyObject_NextNotImplemented))
            return NULL;
#endif
#else
        next = PyIter_Next(iterator);
        if (likely(next))
            return next;
#endif
    } else if (CYTHON_USE_TYPE_SLOTS || unlikely(!PyIter_Check(iterator))) {
        __Pyx_PyIter_Next_ErrorNoIterator(iterator);
        return NULL;
    }
#if !CYTHON_USE_TYPE_SLOTS
    else {
        next = PyIter_Next(iterator);
        if (likely(next))
            return next;
    }
#endif
    return __Pyx_PyIter_Next2Default(defval);
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
        
            x = (long)((unsigned long)a + (unsigned long)b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op1))) {
            return __Pyx_NewRef(op2);
        }
        if (likely(__Pyx_PyLong_IsCompact(op1))) {
            a = __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            double result;
            
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}
#endif

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    _PyTraceback_Add(funcname, filename, py_line);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

/* CIntFromPyVerify */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* FromPyCTupleUtility */
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
static void __Pyx_tuple___pyx_convert__from_py___pyx_ctuple_int__and_int(PyObject * o, __pyx_ctuple_int__and_int *result) {
        result->f0 = __Pyx_PyInt_As_int(PyTuple_GET_ITEM(o, 0));
        if ((result->f0 == (int)-1) && PyErr_Occurred()) goto bad;
        result->f1 = __Pyx_PyInt_As_int(PyTuple_GET_ITEM(o, 1));
        if ((result->f1 == (int)-1) && PyErr_Occurred()) goto bad;
    return;
bad:
    return;
}
static void __Pyx_list___pyx_convert__from_py___pyx_ctuple_int__and_int(PyObject * o, __pyx_ctuple_int__and_int *result) {
        result->f0 = __Pyx_PyInt_As_int(PyList_GET_ITEM(o, 0));
        if ((result->f0 == (int)-1) && PyErr_Occurred()) goto bad;
        result->f1 = __Pyx_PyInt_As_int(PyList_GET_ITEM(o, 1));
        if ((result->f1 == (int)-1) && PyErr_Occurred()) goto bad;
    return;
bad:
    return;
}
#endif
static void __Pyx_seq___pyx_convert__from_py___pyx_ctuple_int__and_int(PyObject * o, __pyx_ctuple_int__and_int *result) {
    if (unlikely(!PySequence_Check(o))) {
        __Pyx_TypeName o_type_name = __Pyx_PyType_GetName(Py_TYPE(o));
        PyErr_Format(PyExc_TypeError,
                     "Expected a sequence of size %zd, got " __Pyx_FMT_TYPENAME, (Py_ssize_t) 2, o_type_name);
        __Pyx_DECREF_TypeName(o_type_name);
        goto bad;
    } else if (unlikely(PySequence_Length(o) != 2)) {
        PyErr_Format(PyExc_TypeError,
                     "Expected a sequence of size %zd, got size %zd", (Py_ssize_t) 2, PySequence_Length(o));
        goto bad;
    }
    {
        PyObject *item;
        item = PySequence_ITEM(o, 0);  if (unlikely(!item)) goto bad;
        result->f0 = __Pyx_PyInt_As_int(item);
        Py_DECREF(item);
        if ((result->f0 == (int)-1) && PyErr_Occurred()) goto bad;
        item = PySequence_ITEM(o, 1);  if (unlikely(!item)) goto bad;
        result->f1 = __Pyx_PyInt_As_int(item);
        Py_DECREF(item);
        if ((result->f1 == (int)-1) && PyErr_Occurred()) goto bad;
    }
    return;
bad:
    return;
}
static CYTHON_INLINE __pyx_ctuple_int__and_int __pyx_convert__from_py___pyx_ctuple_int__and_int(PyObject * o) {
    __pyx_ctuple_int__and_int result;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_Check(o) && PyTuple_GET_SIZE(o) == 2)) {
        __Pyx_tuple___pyx_convert__from_py___pyx_ctuple_int__and_int(o, &result);
    } else if (likely(PyList_Check(o) && PyList_GET_SIZE(o) == 2)) {
        __Pyx_list___pyx_convert__from_py___pyx_ctuple_int__and_int(o, &result);
    } else
    #endif
    {
        __Pyx_seq___pyx_convert__from_py___pyx_ctuple_int__and_int(o, &result);
    }
    return result;
}

/* ToPyCTupleUtility */
static PyObject* __pyx_convert__to_py___pyx_ctuple_int__and_int(__pyx_ctuple_int__and_int value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(2);
    if (!result) goto bad;
        item = __Pyx_PyInt_From_int(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = __Pyx_PyInt_From_int(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* CIntFromPy */
static CYTHON_INLINE unsigned char __Pyx_PyInt_As_unsigned_char(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const unsigned char neg_one = (unsigned char) -1, const_zero = (unsigned char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(unsigned char) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(unsigned char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (unsigned char) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(unsigned char, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(unsigned char) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) >= 2 * PyLong_SHIFT)) {
                                return (unsigned char) (((((unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(unsigned char) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) >= 3 * PyLong_SHIFT)) {
                                return (unsigned char) (((((((unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(unsigned char) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) >= 4 * PyLong_SHIFT)) {
                                return (unsigned char) (((((((((unsigned char)digits[3]) << PyLong_SHIFT) | (unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (unsigned char) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(unsigned char) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(unsigned char) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(unsigned char, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(unsigned char) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) - 1 > 2 * PyLong_SHIFT)) {
                                return (unsigned char) (((unsigned char)-1)*(((((unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(unsigned char) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) - 1 > 2 * PyLong_SHIFT)) {
                                return (unsigned char) ((((((unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(unsigned char) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) - 1 > 3 * PyLong_SHIFT)) {
                                return (unsigned char) (((unsigned char)-1)*(((((((unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(unsigned char) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) - 1 > 3 * PyLong_SHIFT)) {
                                return (unsigned char) ((((((((unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(unsigned char) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) - 1 > 4 * PyLong_SHIFT)) {
                                return (unsigned char) (((unsigned char)-1)*(((((((((unsigned char)digits[3]) << PyLong_SHIFT) | (unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(unsigned char) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned char) - 1 > 4 * PyLong_SHIFT)) {
                                return (unsigned char) ((((((((((unsigned char)digits[3]) << PyLong_SHIFT) | (unsigned char)digits[2]) << PyLong_SHIFT) | (unsigned char)digits[1]) << PyLong_SHIFT) | (unsigned char)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(unsigned char) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(unsigned char) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned char, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            unsigned char val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
#if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
#endif
            if (likely(v)) {
                int ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (unsigned char) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (unsigned char) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (unsigned char) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (unsigned char) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (unsigned char) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(unsigned char) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((unsigned char) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(unsigned char) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((unsigned char) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((unsigned char) 1) << (sizeof(unsigned char) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (unsigned char) -1;
        }
    } else {
        unsigned char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (unsigned char) -1;
        val = __Pyx_PyInt_As_unsigned_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to unsigned char");
    return (unsigned char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to unsigned char");
    return (unsigned char) -1;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_char(unsigned char value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const unsigned char neg_one = (unsigned char) -1, const_zero = (unsigned char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(unsigned char) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(unsigned char) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(unsigned char) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(unsigned char) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(unsigned char) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(unsigned char),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
                                return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
                                return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
                                return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(int) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                                return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                                return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                                return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(int) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
#if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
#endif
            if (likely(v)) {
                int ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (int) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (int) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (int) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (int) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (int) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((int) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((int) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) {
                                return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) {
                                return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) {
                                return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(long) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                                return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                                return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                                return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(long) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
#if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
#endif
            if (likely(v)) {
                int ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (long) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (long) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (long) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (long) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (long) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((long) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((long) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XSETREF(name, __Pyx_NewRef(__pyx_n_s__36));
    }
    return name;
}
#endif

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* PyObjectCall2Args */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectCallMethod1 */
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
}

/* CoroutineBase */
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    CYTHON_UNUSED_VAR(__pyx_tstate);
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_CLEAR(exc_state->exc_value);
#else
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
#endif
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(__pyx_CoroutineObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(PyObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(PyObject *gen, PyObject *value, int closing) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    CYTHON_MAYBE_UNUSED_VAR(closing);
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_value) {
        #if CYTHON_COMPILING_IN_PYPY
        #else
        PyObject *exc_tb;
        #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
        exc_tb = PyException_GetTraceback(exc_state->exc_value);
        #elif PY_VERSION_HEX >= 0x030B00a4
        exc_tb = ((PyBaseExceptionObject*) exc_state->exc_value)->traceback;
        #else
        exc_tb = exc_state->exc_traceback;
        #endif
        if (exc_tb) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
            #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
            Py_DECREF(exc_tb);
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body(self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
#if CYTHON_COMPILING_IN_PYPY
    CYTHON_UNUSED_VAR(exc_state);
#else
    PyObject *exc_tb;
    #if PY_VERSION_HEX >= 0x030B00a4
    if (!exc_state->exc_value) return;
    exc_tb = PyException_GetTraceback(exc_state->exc_value);
    #else
    exc_tb = exc_state->exc_traceback;
    #endif
    if (likely(exc_tb)) {
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
        #if PY_VERSION_HEX >= 0x030B00a4
        Py_DECREF(exc_tb);
        #endif
    }
#endif
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(PyObject* gen, PyObject *retval) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
            _PyGen_SetStopIterationValue(result);
        }
        Py_CLEAR(result);
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (unlikely(PyErr_Occurred())) {
                PyErr_WriteUnraisable(yf);
            }
        } else {
            retval = __Pyx_PyObject_CallNoArg(meth);
            Py_DECREF(meth);
            if (unlikely(!retval))
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (unlikely(PyErr_Occurred())) {
                    gen->is_running = 0;
                    return NULL;
                }
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = __Pyx_PyObject_Call(meth, args, NULL);
            } else {
                PyObject *cargs[4] = {NULL, typ, val, tb};
                ret = __Pyx_PyObject_FastCall(meth, cargs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (unlikely(!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb)))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_VISIT(exc_state->exc_value);
#else
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
#endif
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
#else
        Py_TYPE(gen)->tp_del(self);
        if (unlikely(Py_REFCNT(self) > 0))
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    __Pyx_PyHeapTypeObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    __Pyx_SET_REFCNT(self, 1);
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(Py_REFCNT(self) > 0);
    if (likely(--self->ob_refcnt == 0)) {
        return;
    }
    {
        Py_ssize_t refcnt = Py_REFCNT(self);
        _Py_NewReference(self);
        __Pyx_SET_REFCNT(self, refcnt);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(Py_TYPE(self)) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_name;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_name, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_qualname;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_qualname, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context)
{
    PyObject *frame = self->gi_frame;
    CYTHON_UNUSED_VAR(context);
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            __pyx_d,                 /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        if (unlikely(!frame))
            return NULL;
        self->gi_frame = frame;
    }
    Py_INCREF(frame);
    return frame;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    #if PY_VERSION_HEX >= 0x030B00a4
    gen->gi_exc_state.exc_value = NULL;
    #else
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
    #endif
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}

/* PatchModuleWithCoroutine */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    int result;
    PyObject *globals, *result_obj;
    globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_coroutine_type",
    #ifdef __Pyx_Coroutine_USED
        (PyObject*)__pyx_CoroutineType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_generator_type",
    #ifdef __Pyx_Generator_USED
        (PyObject*)__pyx_GeneratorType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
    result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
    if (unlikely(!result_obj)) goto ignore;
    Py_DECREF(result_obj);
    Py_DECREF(globals);
    return module;
ignore:
    Py_XDECREF(globals);
    PyErr_WriteUnraisable(module);
    if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
        Py_DECREF(module);
        module = NULL;
    }
#else
    py_code++;
#endif
    return module;
}

/* PatchGeneratorABC */
#ifndef CYTHON_REGISTER_ABCS
#define CYTHON_REGISTER_ABCS 1
#endif
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
static PyObject* __Pyx_patch_abc_module(PyObject *module);
static PyObject* __Pyx_patch_abc_module(PyObject *module) {
    module = __Pyx_Coroutine_patch_module(
        module, ""
"if _cython_generator_type is not None:\n"
"    try: Generator = _module.Generator\n"
"    except AttributeError: pass\n"
"    else: Generator.register(_cython_generator_type)\n"
"if _cython_coroutine_type is not None:\n"
"    try: Coroutine = _module.Coroutine\n"
"    except AttributeError: pass\n"
"    else: Coroutine.register(_cython_coroutine_type)\n"
    );
    return module;
}
#endif
static int __Pyx_patch_abc(void) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    static int abc_patched = 0;
    if (CYTHON_REGISTER_ABCS && !abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
        if (unlikely(!module)) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_MAJOR_VERSION >= 3) ?
                        "Cython module failed to register with collections.abc module" :
                        "Cython module failed to register with collections module"), 1) < 0)) {
                return -1;
            }
        } else {
            module = __Pyx_patch_abc_module(module);
            abc_patched = 1;
            if (unlikely(!module))
                return -1;
            Py_DECREF(module);
        }
        module = PyImport_ImportModule("backports_abc");
        if (module) {
            module = __Pyx_patch_abc_module(module);
            Py_XDECREF(module);
        }
        if (!module) {
            PyErr_Clear();
        }
    }
#else
    if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
#endif
    return 0;
}

/* Generator */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     (char*) PyDoc_STR("Frame of the generator"), 0},
    {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_GeneratorType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_Coroutine_dealloc},
    {Py_tp_traverse, (void *)__Pyx_Coroutine_traverse},
    {Py_tp_iter, (void *)PyObject_SelfIter},
    {Py_tp_iternext, (void *)__Pyx_Generator_Next},
    {Py_tp_methods, (void *)__pyx_Generator_methods},
    {Py_tp_members, (void *)__pyx_Generator_memberlist},
    {Py_tp_getset, (void *)__pyx_Generator_getsets},
    {Py_tp_getattro, (void *) __Pyx_PyObject_GenericGetAttrNoDict},
#if CYTHON_USE_TP_FINALIZE
    {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
#endif
    {0, 0},
};
static PyType_Spec __pyx_GeneratorType_spec = {
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    __pyx_GeneratorType_slots
};
#else
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_Generator_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_GeneratorType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
#endif
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* CheckBinaryVersion */
static int __Pyx_check_binary_version(void) {
    char ctversion[5];
    int same=1, i, found_dot;
    const char* rt_from_call = Py_GetVersion();
    PyOS_snprintf(ctversion, 5, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    found_dot = 0;
    for (i = 0; i < 4; i++) {
        if (!ctversion[i]) {
            same = (rt_from_call[i] < '0' || rt_from_call[i] > '9');
            break;
        }
        if (rt_from_call[i] != ctversion[i]) {
            same = 0;
            break;
        }
    }
    if (!same) {
        char rtversion[5] = {'\0'};
        char message[200];
        for (i=0; i<4; ++i) {
            if (rt_from_call[i] == '.') {
                if (found_dot) break;
                found_dot = 1;
            } else if (rt_from_call[i] < '0' || rt_from_call[i] > '9') {
                break;
            }
            rtversion[i] = rt_from_call[i];
        }
        PyOS_snprintf(message, sizeof(message),
                      "compile time version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

/* InitStrings */
#if PY_MAJOR_VERSION >= 3
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
    if (t.is_unicode | t.is_str) {
        if (t.intern) {
            *str = PyUnicode_InternFromString(t.s);
        } else if (t.encoding) {
            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
        } else {
            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
        }
    } else {
        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
    }
    if (!*str)
        return -1;
    if (PyObject_Hash(*str) == -1)
        return -1;
    return 0;
}
#endif
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION >= 3
        __Pyx_InitString(*t, t->p);
        #else
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        #endif
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_LIMITED_API) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
