/* Generated by Cython 3.1.6 */

/* BEGIN: Cython Metadata
{
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            [
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                "NPY_1_7_API_VERSION"
            ]
        ],
        "depends": [
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            "/usr/local/lib/python3.13/site-packages/numpy/_core/include/numpy/arrayscalars.h",
            "/usr/local/lib/python3.13/site-packages/numpy/_core/include/numpy/ndarrayobject.h",
            "/usr/local/lib/python3.13/site-packages/numpy/_core/include/numpy/ndarraytypes.h",
            "/usr/local/lib/python3.13/site-packages/numpy/_core/include/numpy/ufuncobject.h"
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        "include_dirs": [
            "/usr/local/lib/python3.13/site-packages/numpy/_core/include"
        ],
        "name": "cftime._cftime",
        "sources": [
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    },
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}
END: Cython Metadata */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* PY_SSIZE_T_CLEAN */
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#elif defined(CYTHON_LIMITED_API)
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#define __PYX_ABI_VERSION "3_1_6"
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#define CYTHON_FUTURE_DIVISION 1
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#ifndef PY_LONG_LONG
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#ifndef Py_HUGE_VAL
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#define __PYX_LIMITED_VERSION_HEX PY_VERSION_HEX
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  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
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  #define CYTHON_UNPACK_METHODS 0
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  #define CYTHON_FAST_GIL 0
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  #define CYTHON_FAST_PYCALL 0
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  #define CYTHON_USE_EXC_INFO_STACK 1
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  #define CYTHON_USE_FREELISTS 0
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  #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_CPYTHON_FREETHREADING 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 1
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  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
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  #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_AVOID_THREAD_UNSAFE_BORROWED_REFS
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  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
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  #define CYTHON_USE_SYS_MONITORING 0
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  #define CYTHON_USE_DICT_VERSIONS 0
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  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
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  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
#elif defined(CYTHON_LIMITED_API)
  #ifdef Py_LIMITED_API
    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
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  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
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  #undef CYTHON_USE_TYPE_SLOTS
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  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
  #define CYTHON_ASSUME_SAFE_SIZE 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 (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
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  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
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  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
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  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
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  #ifndef CYTHON_USE_AM_SEND
    #define CYTHON_USE_AM_SEND (__PYX_LIMITED_VERSION_HEX >= 0x030A0000)
  #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
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  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 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
  #ifdef Py_GIL_DISABLED
    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 1
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    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
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  #if PY_VERSION_HEX < 0x030A0000
    #undef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
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  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 0
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#ifndef CYTHON_FAST_PYCCALL
#define CYTHON_FAST_PYCCALL  CYTHON_FAST_PYCALL
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#ifndef CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API
#define CYTHON_VECTORCALL  (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
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#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
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#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
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#ifndef __has_attribute
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#ifndef __has_cpp_attribute
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      #if __has_cpp_attribute(maybe_unused)
        #define CYTHON_UNUSED [[maybe_unused]]
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#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
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#     define CYTHON_UNUSED
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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
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#   define CYTHON_UNUSED
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     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
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#    define CYTHON_UNUSED_VAR(x) (void)(x)
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#ifndef CYTHON_MAYBE_UNUSED_VAR
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#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#  define CYTHON_NCP_UNUSED
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#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
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#ifndef CYTHON_USE_CPP_STD_MOVE
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
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    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
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    #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]]
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  #if defined(__clang__) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
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#ifndef Py_UNREACHABLE
  #define Py_UNREACHABLE()  assert(0); abort()
#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)
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  #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)
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#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

/* CInitCode */
#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
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    #define CYTHON_INLINE
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/* PythonCompatibility */
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#define __Pyx_BUILTIN_MODULE_NAME "builtins"
#define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    #ifndef CO_OPTIMIZED
    static int CO_OPTIMIZED;
    #endif
    #ifndef CO_NEWLOCALS
    static int CO_NEWLOCALS;
    #endif
    #ifndef CO_VARARGS
    static int CO_VARARGS;
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    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
    #endif
    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
    #endif
    #ifndef CO_GENERATOR
    static int CO_GENERATOR;
    #endif
    #ifndef CO_COROUTINE
    static int CO_COROUTINE;
    #endif
#else
    #ifndef CO_COROUTINE
      #define CO_COROUTINE 0x80
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    #ifndef CO_ASYNC_GENERATOR
      #define CO_ASYNC_GENERATOR 0x200
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static int __Pyx_init_co_variables(void);
#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 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
#ifndef METH_FASTCALL
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
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  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
  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
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  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
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#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_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if __PYX_LIMITED_VERSION_HEX < 0x03090000
  #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_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _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 >= 0x030d00A1
  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#endif
#if CYTHON_USE_MODULE_STATE
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;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
#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
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && 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 !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)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
#endif
#define __Pyx_PyObject_GetIterNextFunc(iterator)  __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc)
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE((PyObject*)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 __Pyx_PyUnicode_READY(op)       (0)
  #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))
#else
  #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_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
#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)
    #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_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#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)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
  #else
    #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i)
  #endif
#elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #else
    #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))
  #endif
#else
  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_NewRef(PyList_GET_ITEM(o, i))
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyObject_GetItem(dict, key);
  if (*result == NULL) {
    if (PyErr_ExceptionMatches(PyExc_KeyError)) {
      PyErr_Clear();
      return 0;
    }
    return -1;
  }
  return 1;
}
#else
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyDict_GetItemWithError(dict, key);
  if (*result == NULL) {
    return PyErr_Occurred() ? -1 : 0;
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  Py_INCREF(*result);
  return 1;
}
#endif
#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST
  #define __Pyx_VISIT_CONST(obj)  Py_VISIT(obj)
#else
  #define __Pyx_VISIT_CONST(obj)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i)
#endif
#if CYTHON_ASSUME_SAFE_SIZE
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GET_LENGTH(o)
#else
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
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static CYTHON_INLINE float __PYX_NAN() {
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#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 0
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#elif defined(__PYX_EXTERN_C)
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#define __PYX_HAVE__cftime___cftime
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/* Early includes */
#include <string.h>
#include <stdio.h>

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#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"
#ifdef _OPENMP
#include <omp.h>
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#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
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#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
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static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
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#elif SIZEOF_LONG >= SIZEOF_SIZE_T
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static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#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*);
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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))
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    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
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    #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AsString(s))
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#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))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#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_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
static CYTHON_INLINE PyObject *__Pyx_NewRef(PyObject *obj) {
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static CYTHON_INLINE PyObject *__Pyx_XNewRef(PyObject *obj) {
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static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b);
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_Long(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_PyLong_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))
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
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  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
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  #define __Pyx_PyLong_SignedDigitCount(x)\
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    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
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  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
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  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
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  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
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/* PretendToInitialize */
#ifdef __cplusplus
#if __cplusplus > 201103L
#include <type_traits>
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template <typename T>
static void __Pyx_pretend_to_initialize(T* ptr) {
#if __cplusplus > 201103L
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#endif
        *ptr = T();
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}
#else
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
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#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
#endif
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * const __pyx_cfilenm = __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
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    #define CYTHON_CCOMPLEX 1
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#if CYTHON_CCOMPLEX
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#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
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/* #### Code section: filename_table ### */

static const char* const __pyx_f[] = {
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};
/* #### Code section: utility_code_proto_before_types ### */
/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __pyx_atomic_int_type int
#define __pyx_nonatomic_int_type int
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__))
    #include <stdatomic.h>
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)))
    #include <atomic>
#endif
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
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    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_ptr_type atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) atomic_load(value)
    #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C atomics")
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#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)) &&\
                    ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type std::atomic_int
    #define __pyx_atomic_ptr_type std::atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) std::atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) std::atomic_load(value)
    #define __pyx_atomic_store(value, new_value) std::atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) std::atomic_load_explicit(value, std::memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) std::atomic_load_explicit(value, std::memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) std::atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C++ atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C++ atomics"
    #endif
#elif CYTHON_ATOMICS && (__GNUC__ >= 5 || (__GNUC__ == 4 &&\
                    (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL__ >= 2))))
    #define __pyx_atomic_ptr_type void*
    #define __pyx_atomic_incr_relaxed(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) __sync_fetch_and_sub(value, 1)
    #define __pyx_atomic_sub(value, arg) __sync_fetch_and_sub(value, arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_store(value, new_value) __sync_lock_test_and_set(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_load_acquire(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) __sync_lock_test_and_set(value, (__pyx_atomic_ptr_type)new_value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER)
    #include <intrin.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type long
    #define __pyx_atomic_ptr_type void*
    #undef __pyx_nonatomic_int_type
    #define __pyx_nonatomic_int_type long
    #pragma intrinsic (_InterlockedExchangeAdd, _InterlockedExchange, _InterlockedCompareExchange, _InterlockedCompareExchangePointer, _InterlockedExchangePointer)
    #define __pyx_atomic_incr_relaxed(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) _InterlockedExchangeAdd(value, -1)
    #define __pyx_atomic_sub(value, arg) _InterlockedExchangeAdd(value, -arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = _InterlockedCompareExchange(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) _InterlockedExchangeAdd(value, 0)
    #define __pyx_atomic_store(value, new_value) _InterlockedExchange(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) *(void * volatile *)value
    #define __pyx_atomic_pointer_load_acquire(value) _InterlockedCompareExchangePointer(value, 0, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) _InterlockedExchangePointer(value, (__pyx_atomic_ptr_type)new_value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_relaxed(__pyx_get_slice_count_pointer(memview))
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_acq_rel(__pyx_get_slice_count_pointer(memview))
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif

/* IncludeStructmemberH.proto */
#include <structmember.h>

/* CriticalSections.proto */
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyCriticalSection void*
#define __Pyx_PyCriticalSection2 void*
#define __Pyx_PyCriticalSection_Begin1(cs, arg) (void)cs
#define __Pyx_PyCriticalSection_Begin2(cs, arg1, arg2) (void)cs
#define __Pyx_PyCriticalSection_End1(cs)
#define __Pyx_PyCriticalSection_End2(cs)
#else
#define __Pyx_PyCriticalSection PyCriticalSection
#define __Pyx_PyCriticalSection2 PyCriticalSection2
#define __Pyx_PyCriticalSection_Begin1 PyCriticalSection_Begin
#define __Pyx_PyCriticalSection_Begin2 PyCriticalSection2_Begin
#define __Pyx_PyCriticalSection_End1 PyCriticalSection_End
#define __Pyx_PyCriticalSection_End2 PyCriticalSection2_End
#endif
#if PY_VERSION_HEX < 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_BEGIN_CRITICAL_SECTION(o) {
#define __Pyx_END_CRITICAL_SECTION() }
#else
#define __Pyx_BEGIN_CRITICAL_SECTION Py_BEGIN_CRITICAL_SECTION
#define __Pyx_END_CRITICAL_SECTION Py_END_CRITICAL_SECTION
#endif

/* #### Code section: numeric_typedefs ### */

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":744
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
*/
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":745
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
*/
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":746
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * 
*/
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":747
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_uint8      uint8_t
*/
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":749
 * ctypedef npy_int64      int64_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
*/
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":750
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
*/
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":751
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * 
*/
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":752
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_float32    float32_t
*/
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":754
 * ctypedef npy_uint64     uint64_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
*/
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":755
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
*/
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":762
 * ctypedef double complex complex128_t
 * 
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
*/
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":763
 * 
 * ctypedef npy_longlong   longlong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
*/
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":765
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
*/
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":766
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
*/
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":768
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
*/
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":769
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
*/
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":770
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef float complex       cfloat_t
*/
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
/* #### Code section: complex_type_declarations ### */
/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< long double > __pyx_t_long_double_complex;
  #else
    typedef long double _Complex __pyx_t_long_double_complex;
  #endif
#else
    typedef struct { long double real, imag; } __pyx_t_long_double_complex;
#endif
static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double, long double);

/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_obj_6cftime_7_cftime_datetime;
struct __pyx_obj_6cftime_7_cftime_DatetimeNoLeap;
struct __pyx_obj_6cftime_7_cftime_DatetimeAllLeap;
struct __pyx_obj_6cftime_7_cftime_Datetime360Day;
struct __pyx_obj_6cftime_7_cftime_DatetimeJulian;
struct __pyx_obj_6cftime_7_cftime_DatetimeGregorian;
struct __pyx_obj_6cftime_7_cftime_DatetimeProlepticGregorian;
struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime;
struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct_1_genexpr;
struct __pyx_opt_args_6cftime_7_cftime_assert_valid_date;
struct __pyx_opt_args_6cftime_7_cftime__is_leap;
struct __pyx_opt_args_6cftime_7_cftime__IntJulianDayFromDate;

/* "cftime/_cftime.pyx":1755
 *         return _dayspermonth
 * 
 * cdef void assert_valid_date(datetime dt, bint (*is_leap)(int, bint),             # <<<<<<<<<<<<<<
 *                             bint julian_gregorian_mixed,
 *                             bint has_year_zero=False,
*/
struct __pyx_opt_args_6cftime_7_cftime_assert_valid_date {
  int __pyx_n;
  int has_year_zero;
  int is_360_day;
};

/* "cftime/_cftime.pyx":1931
 *     return _is_leap(year, calendar, has_year_zero=has_year_zero)
 * 
 * cdef _is_leap(int year, calendar, has_year_zero=None):             # <<<<<<<<<<<<<<
 *     cdef int tyear
 *     cdef bint leap
*/
struct __pyx_opt_args_6cftime_7_cftime__is_leap {
  int __pyx_n;
  PyObject *has_year_zero;
};

/* "cftime/_cftime.pyx":1986
 * 
 * 
 * cdef _IntJulianDayFromDate(int year,int month,int day,calendar,skip_transition=False,has_year_zero=None):             # <<<<<<<<<<<<<<
 *     """Compute integer Julian Day from year,month,day and calendar.
 * 
*/
struct __pyx_opt_args_6cftime_7_cftime__IntJulianDayFromDate {
  int __pyx_n;
  PyObject *skip_transition;
  PyObject *has_year_zero;
};

/* "cftime/_cftime.pyx":1055
 *     pass
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class datetime(object):
 *     """
*/
struct __pyx_obj_6cftime_7_cftime_datetime {
  PyObject_HEAD
  struct __pyx_vtabstruct_6cftime_7_cftime_datetime *__pyx_vtab;
  int year;
  int month;
  int day;
  int hour;
  int minute;
  int second;
  int microsecond;
  PyObject *calendar;
  int _dayofwk;
  int _dayofyr;
  int has_year_zero;
  PyObject *tzinfo;
  int datetime_compatible;
};


/* "cftime/_cftime.pyx":2085
 * # legacy calendar specific sub-classes (will be removed in a future release).
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeNoLeap(datetime):
 *     """
*/
struct __pyx_obj_6cftime_7_cftime_DatetimeNoLeap {
  struct __pyx_obj_6cftime_7_cftime_datetime __pyx_base;
};


/* "cftime/_cftime.pyx":2095
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeAllLeap(datetime):
 *     """
*/
struct __pyx_obj_6cftime_7_cftime_DatetimeAllLeap {
  struct __pyx_obj_6cftime_7_cftime_datetime __pyx_base;
};


/* "cftime/_cftime.pyx":2105
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class Datetime360Day(datetime):
 *     """
*/
struct __pyx_obj_6cftime_7_cftime_Datetime360Day {
  struct __pyx_obj_6cftime_7_cftime_datetime __pyx_base;
};


/* "cftime/_cftime.pyx":2115
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeJulian(datetime):
 *     """
*/
struct __pyx_obj_6cftime_7_cftime_DatetimeJulian {
  struct __pyx_obj_6cftime_7_cftime_datetime __pyx_base;
};


/* "cftime/_cftime.pyx":2125
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeGregorian(datetime):
 *     """
*/
struct __pyx_obj_6cftime_7_cftime_DatetimeGregorian {
  struct __pyx_obj_6cftime_7_cftime_datetime __pyx_base;
};


/* "cftime/_cftime.pyx":2135
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeProlepticGregorian(datetime):
 *     """
*/
struct __pyx_obj_6cftime_7_cftime_DatetimeProlepticGregorian {
  struct __pyx_obj_6cftime_7_cftime_datetime __pyx_base;
};


/* "cftime/_cftime.pyx":1255
 *         return _strftime(self, format)
 * 
 *     @staticmethod             # <<<<<<<<<<<<<<
 *     def strptime(datestring, format, calendar='standard', has_year_zero=None):
 *         """
*/
struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime {
  PyObject_HEAD
  PyObject *__pyx_v_special_fd;
};


/* "cftime/_cftime.pyx":1282
 *              (pydatetime.year == 1582 and pydatetime.month > 10) or \
 *              (pydatetime.year == 1582 and pydatetime.month == 10 and pydatetime.day > 15)))
 *             if not compatible_date and any(x in special_fd for x in fd):             # <<<<<<<<<<<<<<
 *                 msg='one of the supplied format directives may not be consistent with the chosen calendar'
 *                 raise KeyError(msg)
*/
struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct_1_genexpr {
  PyObject_HEAD
  struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *__pyx_outer_scope;
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_x;
};



/* "cftime/_cftime.pyx":1055
 *     pass
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class datetime(object):
 *     """
*/

struct __pyx_vtabstruct_6cftime_7_cftime_datetime {
  PyObject *(*_to_real_datetime)(struct __pyx_obj_6cftime_7_cftime_datetime *, int __pyx_skip_dispatch);
  PyObject *(*_getstate)(struct __pyx_obj_6cftime_7_cftime_datetime *);
  PyObject *(*_add_timedelta)(struct __pyx_obj_6cftime_7_cftime_datetime *, PyObject *);
};
static struct __pyx_vtabstruct_6cftime_7_cftime_datetime *__pyx_vtabptr_6cftime_7_cftime_datetime;


/* "cftime/_cftime.pyx":2085
 * # legacy calendar specific sub-classes (will be removed in a future release).
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeNoLeap(datetime):
 *     """
*/

struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeNoLeap {
  struct __pyx_vtabstruct_6cftime_7_cftime_datetime __pyx_base;
};
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeNoLeap *__pyx_vtabptr_6cftime_7_cftime_DatetimeNoLeap;


/* "cftime/_cftime.pyx":2095
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeAllLeap(datetime):
 *     """
*/

struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeAllLeap {
  struct __pyx_vtabstruct_6cftime_7_cftime_datetime __pyx_base;
};
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeAllLeap *__pyx_vtabptr_6cftime_7_cftime_DatetimeAllLeap;


/* "cftime/_cftime.pyx":2105
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class Datetime360Day(datetime):
 *     """
*/

struct __pyx_vtabstruct_6cftime_7_cftime_Datetime360Day {
  struct __pyx_vtabstruct_6cftime_7_cftime_datetime __pyx_base;
};
static struct __pyx_vtabstruct_6cftime_7_cftime_Datetime360Day *__pyx_vtabptr_6cftime_7_cftime_Datetime360Day;


/* "cftime/_cftime.pyx":2115
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeJulian(datetime):
 *     """
*/

struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeJulian {
  struct __pyx_vtabstruct_6cftime_7_cftime_datetime __pyx_base;
};
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeJulian *__pyx_vtabptr_6cftime_7_cftime_DatetimeJulian;


/* "cftime/_cftime.pyx":2125
 *         super().__init__(*args, **kwargs)
 * 
 * @cython.embedsignature(True)             # <<<<<<<<<<<<<<
 * cdef class DatetimeGregorian(datetime):
 *     """
*/

struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeGregorian {
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/* "cftime/_cftime.pyx":2135
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*/

struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeProlepticGregorian {
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#endif

/* 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));
}

/* PyLongCompare.proto */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* PyObjectVectorCallKwBuilder.proto */
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#if CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_Object_Vectorcall_CallFromBuilder PyObject_Vectorcall
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder _PyObject_Vectorcall
#endif
#define __Pyx_MakeVectorcallBuilderKwds(n) PyTuple_New(n)
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder __Pyx_PyObject_FastCallDict
#define __Pyx_MakeVectorcallBuilderKwds(n) __Pyx_PyDict_NewPresized(n)
#define __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n) PyDict_SetItem(builder, key, value)
#define __Pyx_VectorcallBuilder_AddArgStr(key, value, builder, args, n) PyDict_SetItemString(builder, key, value)
#endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* PyLongCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil)\
    (__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, has_gil)\
    (__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, has_gil)\
    (__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

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

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

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

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

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

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

/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);

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

/* PyObjectVectorCallMethodKwBuilder.proto */
#if CYTHON_VECTORCALL && PY_VERSION_HEX >= 0x03090000
#define __Pyx_Object_VectorcallMethod_CallFromBuilder PyObject_VectorcallMethod
#else
static PyObject *__Pyx_Object_VectorcallMethod_CallFromBuilder(PyObject *name, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_MultiplyObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2))
#endif

/* PyUnicodeContains.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_ContainsTF(PyObject* substring, PyObject* text, int eq) {
    int result = PyUnicode_Contains(text, substring);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_RemainderObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_RemainderObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceRemainder(op1, op2) : PyNumber_Remainder(op1, op2))
#endif

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil)\
    (__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);

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

/* DictGetItem.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif

/* pybytes_as_double.proto */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj);
static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length);
static CYTHON_INLINE double __Pyx_PyBytes_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyBytes_AS_STRING(obj);
    size = PyBytes_GET_SIZE(obj);
#else
    if (PyBytes_AsStringAndSize(obj, &as_c_string, &size) < 0) {
        return (double)-1;
    }
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}
static CYTHON_INLINE double __Pyx_PyByteArray_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyByteArray_AS_STRING(obj);
    size = PyByteArray_GET_SIZE(obj);
#else
    as_c_string = PyByteArray_AsString(obj);
    if (as_c_string == NULL) {
        return (double)-1;
    }
    size = PyByteArray_Size(obj);
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}

/* pyunicode_as_double.proto */
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
static const char* __Pyx__PyUnicode_AsDouble_Copy(const void* data, const int kind, char* buffer, Py_ssize_t start, Py_ssize_t end) {
    int last_was_punctuation;
    Py_ssize_t i;
    last_was_punctuation = 1;
    for (i=start; i <= end; i++) {
        Py_UCS4 chr = PyUnicode_READ(kind, data, i);
        int is_punctuation = (chr == '_') | (chr == '.');
        *buffer = (char)chr;
        buffer += (chr != '_');
        if (unlikely(chr > 127)) goto parse_failure;
        if (unlikely(last_was_punctuation & is_punctuation)) goto parse_failure;
        last_was_punctuation = is_punctuation;
    }
    if (unlikely(last_was_punctuation)) goto parse_failure;
    *buffer = '\0';
    return buffer;
parse_failure:
    return NULL;
}
static double __Pyx__PyUnicode_AsDouble_inf_nan(const void* data, int kind, Py_ssize_t start, Py_ssize_t length) {
    int matches = 1;
    Py_UCS4 chr;
    Py_UCS4 sign = PyUnicode_READ(kind, data, start);
    int is_signed = (sign == '-') | (sign == '+');
    start += is_signed;
    length -= is_signed;
    switch (PyUnicode_READ(kind, data, start)) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'a') | (chr == 'A');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'n') | (chr == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'f') | (chr == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+3);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+4);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+5);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+6);
            matches &= (chr == 't') | (chr == 'T');
            chr = PyUnicode_READ(kind, data, start+7);
            matches &= (chr == 'y') | (chr == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static double __Pyx_PyUnicode_AsDouble_WithSpaces(PyObject *obj) {
    double value;
    const char *last;
    char *end;
    Py_ssize_t start, length = PyUnicode_GET_LENGTH(obj);
    const int kind = PyUnicode_KIND(obj);
    const void* data = PyUnicode_DATA(obj);
    start = 0;
    while (Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, start)))
        start++;
    while (start < length - 1 && Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, length - 1)))
        length--;
    length -= start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyUnicode_AsDouble_inf_nan(data, kind, start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    if (length < 40) {
        char number[40];
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((length + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}
#endif
static CYTHON_INLINE double __Pyx_PyUnicode_AsDouble(PyObject *obj) {
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(__Pyx_PyUnicode_READY(obj) == -1))
        return (double)-1;
    if (likely(PyUnicode_IS_ASCII(obj))) {
        const char *s;
        Py_ssize_t length;
        s = PyUnicode_AsUTF8AndSize(obj, &length);
        return __Pyx__PyBytes_AsDouble(obj, s, length);
    }
    return __Pyx_PyUnicode_AsDouble_WithSpaces(obj);
#else
    return __Pyx_SlowPyString_AsDouble(obj);
#endif
}

/* 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);

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

/* ImportDottedModule.proto */
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);

/* 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);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __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

/* pyobject_as_double.proto */
static double __Pyx__PyObject_AsDouble(PyObject* obj);
#if CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyObject_AsDouble(obj)\
(likely(PyFloat_CheckExact(obj)) ? PyFloat_AS_DOUBLE(obj) :\
 likely(PyLong_CheckExact(obj)) ?\
 PyFloat_AsDouble(obj) : __Pyx__PyObject_AsDouble(obj))
#else
#define __Pyx_PyObject_AsDouble(obj)\
((likely(PyFloat_CheckExact(obj))) ?  __Pyx_PyFloat_AS_DOUBLE(obj) :\
 likely(PyLong_CheckExact(obj)) ?\
 PyLong_AsDouble(obj) : __Pyx__PyObject_AsDouble(obj))
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_MultiplyCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2))
#endif

/* PyObject_Unicode.proto */
#define __Pyx_PyObject_Unicode(obj)\
    (likely(PyUnicode_CheckExact(obj)) ? __Pyx_NewRef(obj) : PyObject_Str(obj))

/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);

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

/* RaiseClosureNameError.proto */
static void __Pyx_RaiseClosureNameError(const char *varname);

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

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

/* PyDictContains.proto */
static CYTHON_INLINE int __Pyx_PyDict_ContainsTF(PyObject* item, PyObject* dict, int eq) {
    int result = PyDict_Contains(dict, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

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

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

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

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

/* UnpackTuple2.proto */
static CYTHON_INLINE int __Pyx_unpack_tuple2(
    PyObject* tuple, PyObject** value1, PyObject** value2, int is_tuple, int has_known_size, int 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);

/* RejectKeywords.proto */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds);

/* UnicodeConcatInPlace.proto */
# if CYTHON_COMPILING_IN_CPYTHON
    #if CYTHON_REFNANNY
        #define __Pyx_PyUnicode_ConcatInPlace(left, right) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right, __pyx_refnanny)
    #else
        #define __Pyx_PyUnicode_ConcatInPlace(left, right) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right)
    #endif
    static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    );
#else
#define __Pyx_PyUnicode_ConcatInPlace __Pyx_PyUnicode_Concat
#endif
#define __Pyx_PyUnicode_ConcatInPlaceSafe(left, right) ((unlikely((left) == Py_None) || unlikely((right) == Py_None)) ?\
    PyNumber_InPlaceAdd(left, right) : __Pyx_PyUnicode_ConcatInPlace(left, right))

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

/* PyObjectLookupSpecial.proto */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_LookupSpecialNoError(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 0)
#define __Pyx_PyObject_LookupSpecial(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 1)
static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error);
#else
#define __Pyx_PyObject_LookupSpecialNoError(o,n) __Pyx_PyObject_GetAttrStrNoError(o,n)
#define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
#endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_SubtractObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_SubtractObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_FloorDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_FloorDivideObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceFloorDivide(op1, op2) : PyNumber_FloorDivide(op1, op2))
#endif

/* PyUnicode_Substring.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_Substring(
            PyObject* text, Py_ssize_t start, Py_ssize_t stop);

/* BuildPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char);

/* COrdinalToPyUnicode.proto */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value);
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t width, char padding_char);

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

/* IncludeStdlibH.proto */
#include <stdlib.h>

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);

/* DivInt[long].proto */
static CYTHON_INLINE long __Pyx_div_long(long, long, int b_is_constant);

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

/* CallTypeTraverse.proto */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg);
#endif

/* LimitedApiGetTypeDict.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp);
#endif

/* SetItemOnTypeDict.proto */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v);
#define __Pyx_SetItemOnTypeDict(tp, k, v) __Pyx__SetItemOnTypeDict((PyTypeObject*)tp, k, v)

/* FixUpExtensionType.proto */
static CYTHON_INLINE int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);

/* 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);

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

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

/* MergeVTables.proto */
static int __Pyx_MergeVtables(PyTypeObject *type);

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto_3_1_6
#define __PYX_HAVE_RT_ImportType_proto_3_1_6
#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
#include <stdalign.h>
#endif
#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || __cplusplus >= 201103L
#define __PYX_GET_STRUCT_ALIGNMENT_3_1_6(s) alignof(s)
#else
#define __PYX_GET_STRUCT_ALIGNMENT_3_1_6(s) sizeof(void*)
#endif
enum __Pyx_ImportType_CheckSize_3_1_6 {
   __Pyx_ImportType_CheckSize_Error_3_1_6 = 0,
   __Pyx_ImportType_CheckSize_Warn_3_1_6 = 1,
   __Pyx_ImportType_CheckSize_Ignore_3_1_6 = 2
};
static PyTypeObject *__Pyx_ImportType_3_1_6(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_1_6 check_size);
#endif

/* ListPack.proto */
static PyObject *__Pyx_PyList_Pack(Py_ssize_t n, ...);

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

/* Py3UpdateBases.proto */
static PyObject* __Pyx_PEP560_update_bases(PyObject *bases);

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

/* FetchSharedCythonModule.proto */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

/* dict_setdefault.proto */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value, int is_safe_type);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases);

/* CommonTypesMetaclass.proto */
static int __pyx_CommonTypesMetaclass_init(PyObject *module);
#define __Pyx_CommonTypesMetaclass_USED

/* PyMethodNew.proto */
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);

/* PyVectorcallFastCallDict.proto */
#if CYTHON_METH_FASTCALL && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
#endif

/* 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)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
#else
  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject_HEAD
    PyObject *func;
#elif PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_BACKPORT_VECTORCALL ||\
        (CYTHON_COMPILING_IN_LIMITED_API && CYTHON_METH_FASTCALL)
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_weakreflist;
#endif
    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 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    PyObject *defaults;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_mstate_global->__pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void));
#undef __Pyx_IsSameCFunction
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
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 PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func,
                                                         PyTypeObject *defaults_type);
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 || CYTHON_COMPILING_IN_LIMITED_API
#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);

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

/* GetNameInClass.proto */
#define __Pyx_GetNameInClass(var, nmspace, name)  (var) = __Pyx__GetNameInClass(nmspace, name)
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name);

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

/* CodeObjectCache.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject __Pyx_CachedCodeObjectType;
#else
typedef PyCodeObject __Pyx_CachedCodeObjectType;
#endif
typedef struct {
    __Pyx_CachedCodeObjectType* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_int_type accessor_count;
  #endif
};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object);

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

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_long__double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_long__double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_long__double(a, b) ((a)-(b))
    #define __Pyx_c_prod_long__double(a, b) ((a)*(b))
    #define __Pyx_c_quot_long__double(a, b) ((a)/(b))
    #define __Pyx_c_neg_long__double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0)
    #define __Pyx_c_conj_long__double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (::std::abs(z))
        #define __Pyx_c_pow_long__double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_long__double(z) ((z)==0)
    #define __Pyx_c_conj_long__double(z)    (conjl(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (cabsl(z))
        #define __Pyx_c_pow_long__double(a, b)  (cpowl(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex);
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    #endif
#endif

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

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

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

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyType_GetFullyQualifiedName PyType_GetFullyQualifiedName
#else
static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
#endif
#else  // !LIMITED_API
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

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

/* 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);
#else
#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)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
    return PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2);
}
#endif
#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
#ifdef PyExceptionInstance_Check
  #define __Pyx_PyBaseException_Check(obj) PyExceptionInstance_Check(obj)
#else
  #define __Pyx_PyBaseException_Check(obj) __Pyx_TypeCheck(obj, PyExc_BaseException)
#endif

/* IterNextPlain.proto */
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void);
#endif

/* ReturnWithStopIteration.proto */
static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext);

/* 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;
    __Pyx_pyiter_sendfunc yieldfrom_am_send;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
#if CYTHON_USE_SYS_MONITORING && (CYTHON_PROFILE || CYTHON_TRACE)
    PyMonitoringState __pyx_pymonitoring_state[__Pyx_MonitoringEventTypes_CyGen_count];
    uint64_t __pyx_pymonitoring_version;
#endif
    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 __Pyx_PySendResult __Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static __Pyx_PySendResult __Pyx_Coroutine_Close(PyObject *self, PyObject **retval);
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);
static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen);
static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen);
static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen);
static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure);
#if __PYX_HAS_PY_AM_SEND == 2
static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send);
#endif
static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg);

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

/* GetRuntimeVersion.proto */
static unsigned long __Pyx_get_runtime_version(void);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);

/* MultiPhaseInitModuleState.proto */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
#elif CYTHON_USE_MODULE_STATE
#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
#define __Pyx_State_RemoveModule PyState_RemoveModule
#endif

/* #### Code section: module_declarations ### */
/* CythonABIVersion.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
    #if CYTHON_METH_FASTCALL
        #define __PYX_FASTCALL_ABI_SUFFIX  "_fastcall"
    #else
        #define __PYX_FASTCALL_ABI_SUFFIX
    #endif
    #define __PYX_LIMITED_ABI_SUFFIX "limited" __PYX_FASTCALL_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#else
    #define __PYX_LIMITED_ABI_SUFFIX
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    #define __PYX_AM_SEND_ABI_SUFFIX
#elif __PYX_HAS_PY_AM_SEND == 2
    #define __PYX_AM_SEND_ABI_SUFFIX "amsendbackport"
#else
    #define __PYX_AM_SEND_ABI_SUFFIX "noamsend"
#endif
#ifndef __PYX_MONITORING_ABI_SUFFIX
    #define __PYX_MONITORING_ABI_SUFFIX
#endif
#if CYTHON_USE_TP_FINALIZE
    #define __PYX_TP_FINALIZE_ABI_SUFFIX
#else
    #define __PYX_TP_FINALIZE_ABI_SUFFIX "nofinalize"
#endif
#if CYTHON_USE_FREELISTS || !defined(__Pyx_AsyncGen_USED)
    #define __PYX_FREELISTS_ABI_SUFFIX
#else
    #define __PYX_FREELISTS_ABI_SUFFIX "nofreelists"
#endif
#define CYTHON_ABI  __PYX_ABI_VERSION __PYX_LIMITED_ABI_SUFFIX __PYX_MONITORING_ABI_SUFFIX __PYX_TP_FINALIZE_ABI_SUFFIX __PYX_FREELISTS_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."

static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize_itemsize(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment_alignment(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields_fields(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names_names(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray_subarray(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags_flags(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter_numiter(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size_size(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index_index(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd_nd(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions_dimensions(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters_iters(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base_base(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr_descr(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim_ndim(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape_shape(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides_strides(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size_size(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data_data(PyArrayObject *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_6cftime_7_cftime_8datetime__to_real_datetime(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6cftime_7_cftime_8datetime__getstate(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_6cftime_7_cftime_8datetime__add_timedelta(CYTHON_UNUSED struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_other); /* proto*/

/* Module declarations from "libc.string" */

/* Module declarations from "libc.stdio" */

/* Module declarations from "__builtin__" */

/* Module declarations from "cpython.type" */

/* Module declarations from "cpython" */

/* Module declarations from "cpython.object" */

/* Module declarations from "cpython.ref" */

/* Module declarations from "numpy" */

/* Module declarations from "numpy" */
static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/

/* Module declarations from "cython" */

/* Module declarations from "cftime._cftime" */
static int __pyx_v_6cftime_7_cftime__dayspermonth[12];
static int __pyx_v_6cftime_7_cftime__dayspermonth_leap[12];
static int __pyx_v_6cftime_7_cftime__cumdayspermonth[13];
static int __pyx_v_6cftime_7_cftime__cumdayspermonth_leap[13];
static PyObject *__pyx_f_6cftime_7_cftime__parse_timezone(PyObject *); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__parse_date(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__check_index(PyObject *, PyObject *, PyObject *, PyObject *); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__toscalar(PyObject *); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__year_zero_defaults(PyObject *); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__findall(PyObject *, PyObject *); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__strftime(struct __pyx_obj_6cftime_7_cftime_datetime *, PyObject *); /*proto*/
static int __pyx_f_6cftime_7_cftime_is_leap_julian(int, int); /*proto*/
static int __pyx_f_6cftime_7_cftime_is_leap_proleptic_gregorian(int, int); /*proto*/
static int __pyx_f_6cftime_7_cftime_is_leap_gregorian(int, int); /*proto*/
static int __pyx_f_6cftime_7_cftime_all_leap(int, int); /*proto*/
static int __pyx_f_6cftime_7_cftime_no_leap(int, int); /*proto*/
static int *__pyx_f_6cftime_7_cftime_month_lengths(int (*)(int, int), int, int); /*proto*/
static void __pyx_f_6cftime_7_cftime_assert_valid_date(struct __pyx_obj_6cftime_7_cftime_datetime *, int (*)(int, int), int, struct __pyx_opt_args_6cftime_7_cftime_assert_valid_date *__pyx_optional_args); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime_add_timedelta(struct __pyx_obj_6cftime_7_cftime_datetime *, PyObject *, int (*)(int, int), int, int); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime_add_timedelta_360_day(struct __pyx_obj_6cftime_7_cftime_datetime *, PyObject *); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__is_leap(int, PyObject *, struct __pyx_opt_args_6cftime_7_cftime__is_leap *__pyx_optional_args); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__check_calendar(PyObject *); /*proto*/
static PyObject *__pyx_f_6cftime_7_cftime__IntJulianDayFromDate(int, int, int, PyObject *, struct __pyx_opt_args_6cftime_7_cftime__IntJulianDayFromDate *__pyx_optional_args); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "cftime._cftime"
extern int __pyx_module_is_main_cftime___cftime;
int __pyx_module_is_main_cftime___cftime = 0;

/* Implementation of "cftime._cftime" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_property;
static PyObject *__pyx_builtin_UserWarning;
static PyObject *__pyx_builtin_staticmethod;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_OverflowError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_NotImplemented;
static PyObject *__pyx_builtin_super;
static PyObject *__pyx_builtin_ImportError;
/* #### Code section: string_decls ### */
static const char __pyx_k_[] = "-";
static const char __pyx_k_A[] = "A";
static const char __pyx_k_G[] = "G";
static const char __pyx_k_N[] = "N";
static const char __pyx_k_O[] = "O";
static const char __pyx_k_Q[] = "\250Q";
static const char __pyx_k_T[] = "T";
static const char __pyx_k_U[] = "U";
static const char __pyx_k_V[] = "V";
static const char __pyx_k_W[] = "W";
static const char __pyx_k_Z[] = "Z";
static const char __pyx_k_a[] = "a";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_e[] = "e";
static const char __pyx_k_f[] = "f";
static const char __pyx_k_h[] = "h";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_u[] = "u";
static const char __pyx_k_w[] = "w";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k__2[] = "";
static const char __pyx_k__3[] = "'";
static const char __pyx_k__4[] = "%";
static const char __pyx_k__5[] = " ";
static const char __pyx_k__6[] = ".";
static const char __pyx_k__7[] = "?";
static const char __pyx_k_d0[] = "d0";
static const char __pyx_k_dt[] = "dt";
static const char __pyx_k_fd[] = "fd";
static const char __pyx_k_gc[] = "gc";
static const char __pyx_k_hr[] = "hr";
static const char __pyx_k_iu[] = "iu";
static const char __pyx_k_jd[] = "jd";
static const char __pyx_k_ma[] = "ma";
static const char __pyx_k_ms[] = "ms";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_re[] = "re";
static const char __pyx_k_t0[] = "t0";
static const char __pyx_k_t1[] = "t1";
static const char __pyx_k_td[] = "td";
static const char __pyx_k_02d[] = "{:02d}";
static const char __pyx_k_03d[] = ".{:03d}";
static const char __pyx_k_04d[] = "04d";
static const char __pyx_k_05d[] = "05d";
static const char __pyx_k_06d[] = ".{:06d}";
static const char __pyx_k_0_s[] = "0.%s";
static const char __pyx_k_abs[] = "abs";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_any[] = "any";
static const char __pyx_k_day[] = "day";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_f_2[] = "%f";
static const char __pyx_k_f_3[] = ".%f";
static const char __pyx_k_got[] = ", got '";
static const char __pyx_k_hrs[] = "hrs";
static const char __pyx_k_ijd[] = "ijd";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_msg[] = "msg";
static const char __pyx_k_mtd[] = "mtd";
static const char __pyx_k_num[] = "num";
static const char __pyx_k_pop[] = "pop";
static const char __pyx_k_s_2[] = "((^|[^%])(%%)*%s)";
static const char __pyx_k_sec[] = "sec";
static const char __pyx_k_sep[] = "sep";
static const char __pyx_k_wir[] = "\320\000/\250w\260i\270r\300\030\310\021";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_auto[] = "auto";
static const char __pyx_k_ceil[] = "ceil";
static const char __pyx_k_clip[] = "clip";
static const char __pyx_k_core[] = "core";
static const char __pyx_k_date[] = "date";
static const char __pyx_k_days[] = "days";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_diff[] = "diff";
static const char __pyx_k_exit[] = "__exit__";
static const char __pyx_k_find[] = "find";
static const char __pyx_k_flat[] = "flat";
static const char __pyx_k_form[] = "form";
static const char __pyx_k_func[] = "__func__";
static const char __pyx_k_hour[] = "hour";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_isMA[] = "isMA";
static const char __pyx_k_item[] = "item";
static const char __pyx_k_jday[] = "jday";
static const char __pyx_k_kind[] = "kind";
static const char __pyx_k_less[] = "less";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mask[] = "mask";
static const char __pyx_k_mins[] = "mins";
static const char __pyx_k_msec[] = "msec";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_next[] = "next";
static const char __pyx_k_rint[] = "rint";
static const char __pyx_k_secs[] = "secs";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_unit[] = "unit";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_year[] = "year";
static const char __pyx_k_02d_2[] = "02d";
static const char __pyx_k_81F_2[] = "\200\001\330!\"\360\016\000\005\014\2108\2201\220F\320\0322\260!";
static const char __pyx_k_A_t81[] = "\200A\360\006\000\t\020\210t\2208\2301";
static const char __pyx_k_after[] = "after";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_dates[] = "dates";
static const char __pyx_k_delta[] = "delta";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_enter[] = "__enter__";
static const char __pyx_k_exact[] = "exact";
static const char __pyx_k_floor[] = "floor";
static const char __pyx_k_form0[] = "form0";
static const char __pyx_k_hours[] = "hours";
static const char __pyx_k_iinfo[] = "iinfo";
static const char __pyx_k_index[] = "index";
static const char __pyx_k_int64[] = "int64";
static const char __pyx_k_items[] = "items";
static const char __pyx_k_lower[] = "lower";
static const char __pyx_k_match[] = "match";
static const char __pyx_k_month[] = "month";
static const char __pyx_k_msecs[] = "msecs";
static const char __pyx_k_munit[] = "munit";
static const char __pyx_k_ncnum[] = "ncnum";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_q_y_j[] = "\200\001\340\004\014\320\014 \240\007\240q\320(:\270'\300\021\300!\330\004\005\330\010\017\210y\230\002\230!\330\013\014\330\010\016\210j\230\001\230\021";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_ravel[] = "ravel";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_s_02d[] = "{:s}{:02d}";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_since[] = "since";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_strip[] = "strip";
static const char __pyx_k_super[] = "super";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_times[] = "times";
static const char __pyx_k_units[] = "_units";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_where[] = "where";
static const char __pyx_k_A_t_Rq[] = "\200A\340\010\017\210t\220:\230R\230q";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_around[] = "around";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_before[] = "before";
static const char __pyx_k_bisect[] = "bisect";
static const char __pyx_k_cftime[] = "cftime";
static const char __pyx_k_date_2[] = "date ";
static const char __pyx_k_deltas[] = "deltas";
static const char __pyx_k_enable[] = "enable";
static const char __pyx_k_factor[] = "factor";
static const char __pyx_k_filled[] = "filled";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_groups[] = "groups";
static const char __pyx_k_ignore[] = "ignore";
static const char __pyx_k_julian[] = "julian";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_minute[] = "minute";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_months[] = "months";
static const char __pyx_k_name_2[] = "name";
static const char __pyx_k_nctime[] = "nctime";
static const char __pyx_k_noleap[] = "noleap";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_search[] = "search";
static const char __pyx_k_second[] = "second";
static const char __pyx_k_select[] = "select";
static const char __pyx_k_tzinfo[] = "tzinfo";
static const char __pyx_k_360_day[] = "360_day";
static const char __pyx_k_365_day[] = "365_day";
static const char __pyx_k_366_day[] = "366_day";
static const char __pyx_k_MAXYEAR[] = "MAXYEAR";
static const char __pyx_k_MINYEAR[] = "MINYEAR";
static const char __pyx_k_argsort[] = "argsort";
static const char __pyx_k_casting[] = "casting";
static const char __pyx_k_compile[] = "compile";
static const char __pyx_k_dayofwk[] = "dayofwk";
static const char __pyx_k_dayofyr[] = "dayofyr";
static const char __pyx_k_disable[] = "disable";
static const char __pyx_k_fracday[] = "fracday";
static const char __pyx_k_genexpr[] = "genexpr";
static const char __pyx_k_getmask[] = "getmask";
static const char __pyx_k_greater[] = "greater";
static const char __pyx_k_int_num[] = "int_num";
static const char __pyx_k_maximum[] = "maximum";
static const char __pyx_k_minimum[] = "minimum";
static const char __pyx_k_minutes[] = "minutes";
static const char __pyx_k_nearest[] = "nearest";
static const char __pyx_k_nonzero[] = "nonzero";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_replace[] = "replace";
static const char __pyx_k_reshape[] = "reshape";
static const char __pyx_k_seconds[] = "seconds";
static const char __pyx_k_squeeze[] = "squeeze";
static const char __pyx_k_timestr[] = "timestr";
static const char __pyx_k_tm_yday[] = "tm_yday";
static const char __pyx_k_units_2[] = "units";
static const char __pyx_k_weekday[] = "weekday";
static const char __pyx_k_KeyError[] = "KeyError";
static const char __pyx_k_all_leap[] = "all_leap";
static const char __pyx_k_basedate[] = "basedate";
static const char __pyx_k_calendar[] = "calendar";
static const char __pyx_k_category[] = "category";
static const char __pyx_k_date2num[] = "date2num";
static const char __pyx_k_datetime[] = "datetime";
static const char __pyx_k_endswith[] = "endswith";
static const char __pyx_k_format_2[] = "__format__";
static const char __pyx_k_fraction[] = "fraction";
static const char __pyx_k_hr_units[] = "hr_units";
static const char __pyx_k_isfinite[] = "isfinite";
static const char __pyx_k_ismasked[] = "ismasked";
static const char __pyx_k_isscalar[] = "isscalar";
static const char __pyx_k_microsec[] = "microsec";
static const char __pyx_k_millisec[] = "millisec";
static const char __pyx_k_mismatch[] = "mismatch";
static const char __pyx_k_num2date[] = "num2date";
static const char __pyx_k_property[] = "property";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_quotient[] = "quotient";
static const char __pyx_k_set_name[] = "__set_name__";
static const char __pyx_k_standard[] = "standard";
static const char __pyx_k_strftime[] = "strftime";
static const char __pyx_k_strptime[] = "strptime";
static const char __pyx_k_timespec[] = "timespec";
static const char __pyx_k_timezone[] = "timezone";
static const char __pyx_k_to_tuple[] = "to_tuple";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_CFWarning[] = "CFWarning";
static const char __pyx_k_MAX_INT64[] = "_MAX_INT64";
static const char __pyx_k_MIN_INT64[] = "_MIN_INT64";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_calendars[] = "_calendars";
static const char __pyx_k_cfwarnmsg[] = "cfwarnmsg";
static const char __pyx_k_date_type[] = "date_type";
static const char __pyx_k_dateparse[] = "_dateparse";
static const char __pyx_k_datesplit[] = "_datesplit";
static const char __pyx_k_day_units[] = "day_units";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_gregorian[] = "gregorian";
static const char __pyx_k_groupdict[] = "groupdict";
static const char __pyx_k_illegal_s[] = "_illegal_s";
static const char __pyx_k_is_masked[] = "is_masked";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_isoformat[] = "isoformat";
static const char __pyx_k_isostring[] = "isostring";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_microsecs[] = "microsecs";
static const char __pyx_k_millisecs[] = "millisecs";
static const char __pyx_k_min_units[] = "min_units";
static const char __pyx_k_remainder[] = "remainder";
static const char __pyx_k_s_02d_02d[] = "{:s}{:02d}:{:02d}";
static const char __pyx_k_same_kind[] = "same_kind";
static const char __pyx_k_sec_units[] = "sec_units";
static const char __pyx_k_timedelta[] = "timedelta";
static const char __pyx_k_timetuple[] = "timetuple";
static const char __pyx_k_toordinal[] = "toordinal";
static const char __pyx_k_utcoffset[] = "utcoffset";
static const char __pyx_k_81F_C6Iccd[] = "\200\001\330\033\034\360\020\000\005\014\2108\2201\220F\230&\240\t\320)C\3006\320Ic\320cd";
static const char __pyx_k_A_AT_HD_IT[] = "\200A\330\010\017\210}\230A\230T\240\027\250\004\250H\260D\270\001\330\035!\240\027\250\004\250I\260T\270\021\330\035!\240\021";
static const char __pyx_k_BgRxr_r_ir[] = "\200\001\360\n\000\005\r\210B\210g\220R\220x\230r\240\026\240r\250\027\260\002\260!\330\014\016\210i\220r\230\021";
static const char __pyx_k_DATE_TYPES[] = "DATE_TYPES";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_asanyarray[] = "asanyarray";
static const char __pyx_k_atleast_1d[] = "atleast_1d";
static const char __pyx_k_calendar_2[] = " calendar";
static const char __pyx_k_date2index[] = "_date2index";
static const char __pyx_k_dates_test[] = "dates_test";
static const char __pyx_k_datestring[] = "datestring";
static const char __pyx_k_fractional[] = "fractional";
static const char __pyx_k_longdouble[] = "longdouble";
static const char __pyx_k_nanosecond[] = "nanosecond";
static const char __pyx_k_num2pydate[] = "num2pydate";
static const char __pyx_k_parse_date[] = "_parse_date";
static const char __pyx_k_pydatetime[] = "pydatetime";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_special_fd[] = "special_fd";
static const char __pyx_k_strptime_2[] = "_strptime";
static const char __pyx_k_time2index[] = "time2index";
static const char __pyx_k_utc_offset[] = "utc_offset";
static const char __pyx_k_year_units[] = "year_units";
static const char __pyx_k_04d_02d_02d[] = "{:04d}-{:02d}-{:02d}";
static const char __pyx_k_05d_02d_02d[] = "{:05d}-{:02d}-{:02d}";
static const char __pyx_k_A_it_Q_D_fA[] = "\200A\340\010\016\210i\220t\230:\240Q\330\010\024\220D\230\001\230\021\330\010\020\320\020#\240;\250f\260A";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MaskedArray[] = "MaskedArray";
static const char __pyx_k_UserWarning[] = "UserWarning";
static const char __pyx_k_Y_m_d_H_M_S[] = "%Y-%m-%d %H:%M:%S";
static const char __pyx_k_a_7_Q_T_y_q[] = "\320\004\036\230a\360\014\000\t\014\2107\220#\220Q\330\014\025\220T\230\021\330\010\017\210y\230\001\230\026\230q";
static const char __pyx_k_bisect_left[] = "bisect_left";
static const char __pyx_k_cast_to_int[] = "cast_to_int";
static const char __pyx_k_common_year[] = "common_year";
static const char __pyx_k_daysinmonth[] = "daysinmonth";
static const char __pyx_k_fromordinal[] = "fromordinal";
static const char __pyx_k_microsecond[] = "microsecond";
static const char __pyx_k_millisecond[] = "millisecond";
static const char __pyx_k_month_units[] = "month_units";
static const char __pyx_k_mro_entries[] = "__mro_entries__";
static const char __pyx_k_s_02d_02d_s[] = "{:s}{:02d}:{:02d}:{:s}";
static const char __pyx_k_s_c_s_A_s_A[] = "\200\001\360\010\000\005\010\200s\210&\220\006\220c\230\021\330\010\017\210s\220'\230\021\230\"\230A\340\010\017\210s\220'\230\021\230\"\230A";
static const char __pyx_k_scale_times[] = "scale_times";
static const char __pyx_k_sincestring[] = "sincestring";
static const char __pyx_k_struct_time[] = "struct_time";
static const char __pyx_k_A_7_Q_Q_t9AQ[] = "\200A\360\010\000\t\014\2107\220#\220Q\330\014\025\220Q\330\010\017\210t\2209\230A\230Q";
static const char __pyx_k_bisect_right[] = "bisect_right";
static const char __pyx_k_common_years[] = "common_years";
static const char __pyx_k_date2index_2[] = "date2index";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_is_leap_year[] = "is_leap_year";
static const char __pyx_k_masked_array[] = "masked_array";
static const char __pyx_k_microseconds[] = "microseconds";
static const char __pyx_k_milliseconds[] = "milliseconds";
static const char __pyx_k_scaled_times[] = "scaled_times";
static const char __pyx_k_simplefilter[] = "simplefilter";
static const char __pyx_k_sort_indices[] = "sort_indices";
static const char __pyx_k_staticmethod[] = "staticmethod";
static const char __pyx_k_upcast_times[] = "upcast_times";
static const char __pyx_k_A_G4xt6_WD_IT[] = "\200A\330\010\020\220\004\220G\2304\230x\240t\2506\260\024\260W\270D\300\001\330\020\024\220I\230T\240\021";
static const char __pyx_k_ISO8601_REGEX[] = "ISO8601_REGEX";
static const char __pyx_k_OverflowError[] = "OverflowError";
static const char __pyx_k_class_getitem[] = "__class_getitem__";
static const char __pyx_k_has_year_zero[] = "has_year_zero";
static const char __pyx_k_original_mask[] = "original_mask";
static const char __pyx_k_real_datetime[] = "real_datetime";
static const char __pyx_k_s_02d_02d_02d[] = "{:s}{:02d}:{:02d}:{:02d}";
static const char __pyx_k_A_81D_a_Qd_V1A[] = "\200A\340\010\013\2108\2201\220D\230\006\230a\330\014\023\320\023%\240Q\240d\250&\260\001\260\021\340\014\023\220=\240\001\240\024\240V\2501\250A";
static const char __pyx_k_AttributeError[] = "AttributeError";
static const char __pyx_k_DA_q_A_Jaq_y_q[] = "\320\000D\300A\330\004\007\200q\330\010\017\210}\230A\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\340\010\024\220J\230a\230q\330\010\017\210y\230\001\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\021\220\021\330\017\030\230\t\240\036\250q";
static const char __pyx_k_Datetime360Day[] = "Datetime360Day";
static const char __pyx_k_DatetimeJulian[] = "DatetimeJulian";
static const char __pyx_k_DatetimeNoLeap[] = "DatetimeNoLeap";
static const char __pyx_k_NotImplemented[] = "NotImplemented";
static const char __pyx_k_TIMEZONE_REGEX[] = "TIMEZONE_REGEX";
static const char __pyx_k_catch_warnings[] = "catch_warnings";
static const char __pyx_k_cftime__cftime[] = "cftime._cftime";
static const char __pyx_k_masked_invalid[] = "masked_invalid";
static const char __pyx_k_microsec_units[] = "microsec_units";
static const char __pyx_k_millisec_units[] = "millisec_units";
static const char __pyx_k_original_shape[] = "original_shape";
static const char __pyx_k_q_Q_j_3a_j_5_d[] = "\200\001\360\010\000\005\006\330\t\020\220\r\230]\250'\260\026\260q\270\005\270Q\330\004\013\210>\230\021\330\010\016\210j\230\001\230\021\340\004\007\200{\220&\230\003\2303\230a\330\010\016\210j\230\001\230\021\340\004\013\2105\220\006\220d\230!";
static const char __pyx_k_timedelta64_us[] = "timedelta64[us]";
static const char __pyx_k_unit_timedelta[] = "unit_timedelta";
static const char __pyx_k_unsort_indices[] = "unsort_indices";
static const char __pyx_k_DatetimeAllLeap[] = "DatetimeAllLeap";
static const char __pyx_k_change_calendar[] = "change_calendar";
static const char __pyx_k_compatible_date[] = "compatible_date";
static const char __pyx_k_create_datetime[] = "_create_datetime";
static const char __pyx_k_datetime_python[] = "datetime_python";
static const char __pyx_k_nearest_to_left[] = "nearest_to_left";
static const char __pyx_k_datetime_replace[] = "datetime.replace";
static const char __pyx_k_illegal_timespec[] = "illegal timespec";
static const char __pyx_k_to_real_datetime[] = "_to_real_datetime";
static const char __pyx_k_DatetimeGregorian[] = "DatetimeGregorian";
static const char __pyx_k_datetime___format[] = "datetime.__format__";
static const char __pyx_k_datetime___reduce[] = "datetime.__reduce__";
static const char __pyx_k_datetime_strftime[] = "datetime.strftime";
static const char __pyx_k_datetime_strptime[] = "datetime.strptime";
static const char __pyx_k_datetime_to_tuple[] = "datetime.to_tuple";
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_datetime_isoformat[] = "datetime.isoformat";
static const char __pyx_k_datetime_timetuple[] = "datetime.timetuple";
static const char __pyx_k_datetime_toordinal[] = "datetime.toordinal";
static const char __pyx_k_datetime_compatible[] = "datetime_compatible";
static const char __pyx_k_days_since_0_1_1_12[] = "days since 0-1-1-12";
static const char __pyx_k_differential_deltas[] = "differential_deltas";
static const char __pyx_k_idealized_calendars[] = "_idealized_calendars";
static const char __pyx_k_proleptic_gregorian[] = "proleptic_gregorian";
static const char __pyx_k_use_python_datetime[] = "use_python_datetime";
static const char __pyx_k_4A_9C_Ct_S_AQ_t_q_Ja[] = "\320\0044\260A\360\006\000\t\014\2109\220C\320\027,\250C\250t\260:\270S\300\001\330\014\022\220*\230A\230Q\340\010\017\210t\220<\230q\240\004\240J\250a\250{\270!\330 )\250\031\260.\300\001";
static const char __pyx_k_A_t_r_WD_F_a_IT_j_Kq[] = "\200A\360\020\000\t\020\210t\220<\230r\240\024\240W\250D\260\010\270\004\270F\300$\300a\330\020\024\220I\230T\240\031\250$\250j\270\004\270K\300q";
static const char __pyx_k_Expecting_a_string_r[] = "Expecting a string %r";
static const char __pyx_k_all_python_datetimes[] = "all_python_datetimes";
static const char __pyx_k_datetime_fromordinal[] = "datetime.fromordinal";
static const char __pyx_k_s_is_not_a_leap_year[] = "%s is not a leap year";
static const char __pyx_k_time_in_microseconds[] = "time_in_microseconds";
static const char __pyx_k_unsupported_calendar[] = "unsupported calendar";
static const char __pyx_k_aN_a_nAQ_HAV6_QgXYj_q[] = "\320\000\037\230\177\320.>\270a\360N\001\000\005\006\330\010\016\210a\330\013\014\330\010\016\210n\230A\230Q\330\004\014\210H\220A\220V\2306\240\027\250\t\260\032\270>\310\021\330\004\013\210:\220Q\220g\230X\240Y\250j\270\007\270q";
static const char __pyx_k_does_not_exist_in_the[] = " does not exist in the ";
static const char __pyx_k_no_calendar_specified[] = "no calendar specified";
static const char __pyx_k_real_datetime_dayofwk[] = "real_datetime.dayofwk";
static const char __pyx_k_real_datetime_dayofyr[] = "real_datetime.dayofyr";
static const char __pyx_k_times_in_microseconds[] = "times_in_microseconds";
static const char __pyx_k_days_since_4712_1_1_12[] = "days since -4712-1-1-12";
static const char __pyx_k_days_since_4713_1_1_12[] = "days since -4713-1-1-12";
static const char __pyx_k_src_cftime__cftime_pyx[] = "src/cftime/_cftime.pyx";
static const char __pyx_k_UNIT_CONVERSION_FACTORS[] = "UNIT_CONVERSION_FACTORS";
static const char __pyx_k_calendar_must_be_one_of[] = "calendar must be one of ";
static const char __pyx_k_can_use_python_datetime[] = "_can_use_python_datetime";
static const char __pyx_k_decode_date_from_scalar[] = "decode_date_from_scalar";
static const char __pyx_k_decode_dates_from_array[] = "decode_dates_from_array";
static const char __pyx_k_no_since_in_unit_string[] = "no 'since' in unit_string";
static const char __pyx_k_strptime_locals_genexpr[] = "strptime.<locals>.genexpr";
static const char __pyx_k_datetime_change_calendar[] = "datetime.change_calendar";
static const char __pyx_k_days_since_4713_11_24_12[] = "days since -4713-11-24-12";
static const char __pyx_k_days_since_4714_11_24_12[] = "days since -4714-11-24-12";
static const char __pyx_k_can_use_python_datetime_2[] = "can_use_python_datetime";
static const char __pyx_k_only_use_cftime_datetimes[] = "only_use_cftime_datetimes";
static const char __pyx_k_only_use_python_datetimes[] = "only_use_python_datetimes";
static const char __pyx_k_real_datetime_daysinmonth[] = "real_datetime.daysinmonth";
static const char __pyx_k_DatetimeProlepticGregorian[] = "DatetimeProlepticGregorian";
static const char __pyx_k_cannot_compare_0_r_and_1_r[] = "cannot compare {0!r} and {1!r}";
static const char __pyx_k_datetime__to_real_datetime[] = "datetime._to_real_datetime";
static const char __pyx_k_can_use_python_basedatetime[] = "can_use_python_basedatetime";
static const char __pyx_k_has_year_zero_not_specified[] = "has_year_zero not specified";
static const char __pyx_k_invalid_hour_provided_in_0_r[] = "invalid hour provided in {0!r}";
static const char __pyx_k_invalid_year_provided_in_0_r[] = "invalid year provided in {0!r}";
static const char __pyx_k_Unable_to_parse_date_string_r[] = "Unable to parse date string %r";
static const char __pyx_k_invalid_month_provided_in_0_r[] = "invalid month provided in {0!r}";
static const char __pyx_k_to_calendar_specific_datetime[] = "to_calendar_specific_datetime";
static const char __pyx_k_Performs_conversions_of_netCDF[] = "\nPerforms conversions of netCDF time coordinate data to/from datetime objects.\n";
static const char __pyx_k_Q_s_c_q_2T_E_k_s_D_8STTXXcckkl[] = "\320\000\025\220Q\330\004\007\200s\210&\220\006\220c\230\021\330\010\017\210q\360\010\000\t\014\2102\210T\220\021\220\"\220E\230\021\230$\230k\250\030\260\036\270s\300\"\300D\310\001\310\022\3108\320ST\320TX\320Xc\320ck\320kl\330\014\022\220-\230q\240\001\330\010\013\210:\220Q\220e\2302\230S\240\005\240Q\330\014\026\220b\230\003\230=\250\001\250\022\2505\260\001\260\026\260v\270R\270q\360\006\000\r\020\210v\220W\230O\2504\250v\260W\270A\330\020\032\230\"\230C\230v\240Q\240g\250Q\250h\260c\270\021\330\032\034\230C\230}\250A\250R\250v\260Q\260e\2706\300\022\3009\310A\330\020\032\230\"\230C\230v\240Q\240g\250Q\250h\260c\270\021\330\032\034\230C\230}\250A\250R\250u\260A\260U\270&\300\002\300)\3101\340\014\026\220b\230\006\230a\230r\240\025\240a\240v\250V\2602\260Q\330\014\017\210v\220W\230O\2504\250v\260W\270A\330\020\032\230\"\230F\240!\2407\250!\2508\2603\260a\330\032\034\230F\240!\2402\240V\2501\250E\260\026\260r\270\031\300!\330\020\032\230\"\230F\240!\2407\250!\2508\2603\260a\330\032\034\230F\240!\2402\240U\250!\2505\260\006\260b\270\t\300\021\330\010\017\210q";
static const char __pyx_k_invalid_date_in_mixed_calendar[] = "invalid date in mixed calendar";
static const char __pyx_k_invalid_minute_provided_in_0_r[] = "invalid minute provided in {0!r}";
static const char __pyx_k_invalid_second_provided_in_0_r[] = "invalid second provided in {0!r}";
static const char __pyx_k_s_c_wb_3fCq_1_D_U_Rq_D_U_Rq_82[] = "\200\001\340\004\007\200s\210&\220\006\220c\230\021\330\010\017\210w\220b\230\001\340\010\013\2103\210f\220C\220q\330\014\023\2201\360\010\000\t\023\220\"\220D\230\001\230\024\230U\240#\240R\240q\330\010\022\220\"\220D\230\001\230\024\230U\240#\240R\240q\330\010\013\2108\2202\220[\240\003\2408\2502\250Q\340\014\022\220-\230q\240\001\340\014\023\2204\220r\230\021";
static const char __pyx_k_z_xvQ_S_1A_z_4AYa_t_T_4q_AQ_Qa[] = "\200\001\360\010\000\005\006\330\004\005\330\004\005\330\004\005\360z\001\000\005\020\210x\220v\230Q\340\004\007\200~\220S\230\001\330\010\030\320\030+\2501\250A\330\004\017\210z\230\021\230&\240\t\250\031\260.\300\001\340\004\034\320\0344\260A\260Y\270a\330\004\007\200t\320\013%\240T\250\021\330\010\013\2104\210q\330\014\020\220\001\330\014\022\220*\230A\230Q\340\004\n\210)\220:\230Q\230a\360\006\000\005\010\200y\220\004\220J\230l\250-\3207N\310d\320RV\320VW\330\010\013\2108\2206\230\023\230A\330\014\020\220\001\330\014\022\220*\230A\230Q\340\004\032\230!\330\004\007\320\007!\240\024\240T\250\021\340\010\036\230a\330\004\007\200t\320\013%\240T\250\024\320-G\300t\3101\360\006\000\t\037\230a\340\004\017\320\017,\250A\250Z\260z\320AV\320Vd\320de\340\004\007\200u\210G\2201\330\010\016\210j\230\001\320\031A\300\027\310\001\310\021\340\004\007\200u\210D\220\n\230)\2404\240y\260\003\2601\330\010\016\210j\230\001\230\021\340\004\r\320\r$\240A\240Q\330\004\014\210B\210k\230\021\230!\330\004\014\210L\230\001\230\021\340\004\007\200t\2102\210Y\220a\220v\230T\240\021\330\010\020\220\002\220#\220_\240A\240Q\330\004\023\220;\230a\230w\240a\330\004\023\220;\230a\230}\250F\260!\340\004\007\200|\2206\230\023\230B\230c\240\034\250V\2603\260a\330\010\017\320\017&\240a\240~\260Q\340\010\013\210:\220Q\220n\240B\240c\250\021\360\006\000\r\035\230B\230c\240\030\250\021\250!\330\014\033\230<\240w\250a\250q\330\014\024\320\024+\2501\250N\270!\330\014\023\2202\220S\230\014\240A\240W\250E\260\021\340\014\023\320\023*\250!\250>\270\021";
static const char __pyx_k_0_1_2_3_4_5_6_7_8_calendar_9_ha[] = "{0}.{1}({2}, {3}, {4}, {5}, {6}, {7}, {8}, calendar={9}, has_year_zero={10})";
static const char __pyx_k_0_1_2_3_4_5_6_7_8_has_year_zero[] = "{0}.{1}({2}, {3}, {4}, {5}, {6}, {7}, {8}, has_year_zero={9})";
static const char __pyx_k_0_r_is_not_present_in_the_mixed[] = "{0!r} is not present in the mixed Julian/Gregorian calendar";
static const char __pyx_k_1D_t84vT_34q_1_d_F_4r_a_BfAWBm1[] = "\320\004\"\240!\360\036\000\t\017\320\016#\2401\240D\250\007\250t\2608\2704\270v\300T\310\021\330\0373\2604\260q\330\010\013\2101\330\014\026\220d\230&\240\002\240\"\240F\250!\2504\250r\260\035\270a\330\026\032\230(\240\"\240B\240f\250A\250W\260B\260m\3001\330\027\033\2308\2402\240T\250\034\260R\260r\270\026\270q\300\005\300R\300~\320UV\330\026\030\230\006\230a\230x\240r\250\021\360\010\000\r\024\2204\220r\230\024\230R\230q\340\014\023\2201";
static const char __pyx_k_1_q_2XQa_Rxq_1_E_BfA_Qe9BfARwaq[] = "\200\001\360\030\000\005\026\320\025*\250!\330\004\034\320\0341\260\026\260q\340\004\023\2202\220X\230Q\230a\330\004\025\220R\220x\230q\240\001\330\004\034\320\0341\260\021\260!\360\n\000\005\016\320\r\"\240'\250\021\250!\330\004\032\230\"\230E\240\021\240'\250\027\260\001\260\021\340\004\014\210B\210f\220A\320\025*\250(\260&\270\001\330\004\005\330\010\r\210Q\210e\2209\230B\230f\240A\240R\240w\250a\250q\330\010\014\210E\220\025\220a\220s\230!\2301\330\014\021\220\021\220\"\220B\220e\2305\240\001\240\023\240B\320&9\270\021\270!\330\013\014\330\010\016\210j\230\001\230\021\340\004\013\2105\220\001\220\037\240\010\250\001\250\021";
static const char __pyx_k_A_1_86_A_q_9D_9A_q_q_q_c_q_A__A[] = "\200A\330\";\2701\360\016\000\t\024\2208\2306\240\021\340\010\013\210>\230\023\230A\330\014\034\320\034/\250q\260\001\330\010\013\2109\220D\230\013\2409\250A\330\014\017\210q\330\017\027\220q\340\017\027\220q\330\r\026\220c\230\021\330\014\017\210q\330\020\030\230\001\340\020\030\230\001\340\014\024\220A\340\r\025\220_\240A\330\014\024\220M\240\021\240)\2509\260A\330\014\021\220\030\230\021\230%\230v\240V\2509\260I\270^\3101\330\010\017\210q";
static const char __pyx_k_A_A_Q_t1_A_a_a_t1_Q_D_S_s_Cq_AQ[] = "\200A\340\010\020\220\010\230\004\230A\330\020\031\230\024\230Q\330\020\027\220t\2301\330\020\030\230\004\230A\330\020\032\230$\230a\330\020\032\230$\230a\330\020\037\230t\2401\330\020!\240\024\240Q\330\020\034\230D\240\001\340\010\013\210:\220S\230\007\230s\240*\250C\250q\330\014\022\220*\230A\230Q\360\006\000\t\014\210;\220c\230\021\330\014\022\220*\230A\230Q\360\n\000\t\014\2107\220#\220Q\330\014\017\210v\220Q\220g\230R\230r\240\024\320%5\260W\270A\330\020\026\220a\320\027(\250\001\340\010\014\210F\220)\2306\240\026\240q\330\014\020\220\001\220\030\230\021\340\010\017\210t\220:\230S\240\001";
static const char __pyx_k_Cannot_compute_the_time_differe[] = "\nCannot compute the time difference between dates with different calendars.\nOne of the datetime objects may have been converted to a native python\ndatetime instance.  Try using only_use_cftime_datetimes=True when creating the\ndatetime object.";
static const char __pyx_k_In_general_units_must_be_one_of[] = "In general, units must be one of 'microseconds', 'milliseconds', 'seconds', 'minutes', 'hours', or 'days' (or select abbreviated versions of these).  For the '360_day' calendar, 'months' can also be used, or for the 'noleap' calendar 'common_years' can also be used. Got '%s' instead, which are not recognized.";
static const char __pyx_k_N_4vRq_A_A_9Cq_1_4wat7_hd_c_6_1[] = "\320\004\034\230N\250!\360\n\000\t\014\2104\210v\220R\220q\330\014\024\220A\340\014\024\220A\330\010\013\2109\220C\220q\330\014\023\2201\330\014\023\2204\220w\230a\230t\2407\250$\250h\260d\270!\330\r\026\220c\230\021\330\014\023\2206\230\022\2301\330\014\023\2204\220w\230a\230t\2407\250$\250h\260d\270&\300\001\330\037#\2401\330\r\026\220c\230\021\330\014\023\2206\230\022\2301\330\014\023\2204\220w\230a\230t\2407\250$\250h\260d\270&\300\001\330\037#\2407\250$\250a\330\r\026\220c\230\021\330\014\023\2206\230\022\2301\330\014\023\2204\220w\230a\230t\2407\250$\250h\260d\270&\300\001\330\037#\2407\250$\250i\260t\2701\330\r\026\220d\230(\320\"2\260!\330\014\025\220X\230W\240A\240T\250\021\330\014\017\210y\230\003\2301\330\020\034\230C\230q\240\005\240Q\240d\250-\260r\270\026\270q\330\020\032\230)\2407\250!\2501\330\021\032\230#\230Q\330\020\032\230)\2407\250!\2504\250q\340\020\023\2204\220}\240B\240a\330\024\036\230i\240w\250a\250t\2601\330\014\023\2206\230\022\2301\330\014\023\2204\220w\230a\230t\2407\250$\250h\260d\270&\300\001\330\037#\2407\250$\250i\260q\340\014\022\220*\230A\230Q";
static const char __pyx_k_P_prefix_P_hours_0_9_2_P_minute[] = "(?P<prefix>[+-])(?P<hours>[0-9]{2})(?:(?::(?P<minutes1>[0-9]{2}))|(?P<minutes2>[0-9]{2}))?";
static const char __pyx_k_P_year_0_9_P_month_0_9_1_2_P_da[] = "(?P<year>[+-]?[0-9]+)(-(?P<month>[0-9]{1,2})(-(?P<day>[0-9]{1,2})(((?P<separator1>.)(?P<hour>[0-9]{1,2}):(?P<minute>[0-9]{1,2})(:(?P<second>[0-9]{1,2})(\\.(?P<fraction>[0-9]+))?)?)?((?P<separator2>.?)(?P<timezone>Z|(([-+])([0-9]{2})((:([0-9]{2}))|([0-9]{2}))?)))?)?)?)?";
static const char __pyx_k_Q0_a_nAQ_y_1_7_8_q_wc_Jawhiz_wc[] = "\200\001\330\036-\250Q\3600\000\005\006\330\010\016\210a\330\013\014\330\010\016\210n\230A\230Q\340\004\007\200y\220\003\2201\330\010\023\2207\230!\2308\240<\250q\340\004\007\200w\210c\220\021\360\006\000\t\n\330\014\024\220J\230a\230w\240h\250i\260z\300\027\310\001\330\014\017\210w\220c\230\021\330\020\027\220q\330\021\030\230\003\2301\330\020\027\220u\230A\230Q\340\020\027\220u\230A\230Q\330\017\020\360\006\000\005\013\210\"\210K\220q\230\001\330\004\010\210\003\2101\210A\360\010\000\005\010\200s\210!\2108\2203\220a\330\010\014\210E\220\026\220r\230\021\330\010\r\210S\220\002\220!\340\010\r\210V\2201\220A\330\010\r\210Q\330\004\007\200w\210d\220)\2301\330\010\020\220\002\220&\230\002\230$\230b\240\004\240B\240d\250!\330\t\020\220\003\2201\330\010\020\220\002\220&\230\001\230\022\2305\240\002\240$\240b\250\004\250B\250e\2601\340\010\020\220\002\220&\230\001\230\022\2307\240\"\240D\250\002\250$\250b\260\005\260Q\360\n\000\005\010\200t\210<\220q\230\007\230w\240h\250a\360\006\000\020\021\330\010\020\220\002\220&\230\001\230\021\230&\240\r\250Q\250h\260c\270\024\270U\300&\310\001\330\010\021\220\026\220s\230!\340\010\020\220\002\220&\230\001\230\021\230&\240\014\250A\250X\260S\270\004\270E\300\026\300q\330\010\020\220\006\220c\230\021\340\010\013\2107\220$\220j\240\t\250\024\250R\250t\2601\260A\330\014\022\220*\230A\330\020\021\340\010\013\2107\220$\220i\230y\250\004\250B\250d\260!\2601\330\014\022\220*\230A\330\020\021\360\n\000\t\016\210Q\210i\220r\230\022\2301\330\010\020\220\002\220(\230!\2301\230F\240!\2403\240d\250%\250q\330\010\023\2202\220X\230Q\230f\240C\240t\2501\250A\340\010\013\2107\220#\220Q\330\014\017\210s\220!\220:\230R\230q\330\020\026\220j\240\001\330\024\025\340\r\024\220C\220q\330\014\021\220\021\220)\2301\330\014\021\220\021\220-\230q\340\r\024\220C\220q\360\006\000\016\025\220C\220q\330\014\036\230c\240\021\240*\250B\250b\260\006\260a\330\020\021\220\025\220a\220v\230Q\230b\240\002\240$\240b\250\005\250Q\250f\260A\260T\270\024\270U\300%\300q\310""\014\320TV\320VW\330\014\021\220\021\220,\230e\2401\240J\250b\260\002\260\"\260A\360\006\000\r\023\220*\230A\330\020C\3002\300Q\360\006\000\t\016\210Q\210j\230\001\360\006\000\005\014\2109\220A\220Q";
static const char __pyx_k_QT_a_nAQ_aq_S_9Cq_5_z_Q_Ba_A_C4[] = "\200\001\330\036-\320-=\270Q\360T\001\000\005\006\330\010\016\210a\330\013\014\330\010\016\210n\230A\230Q\340\004\021\220\022\220;\230a\230q\360\n\000\005\010\200~\220S\230\001\330\010\013\2109\220C\220q\330\014\021\220\032\2305\240\001\240\021\330\014\017\210z\230\021\230#\230Q\330\020 \240\001\340\020\021\330\024$\240B\240a\330\027\030\330\024\032\230*\240A\320%C\3004\300q\310\001\340\014\034\320\034/\250q\260\001\360\010\000\005\010\200t\2101\330\010\r\210Z\220u\230A\230Q\330\010\013\210:\220Q\220c\230\021\330\014\027\220q\340\014\r\330\020\033\2302\230Q\330\023\024\330\020\026\220j\240\001\320!9\270\024\270Q\270a\340\004\017\210x\220v\230Q\330\004\017\210z\230\021\230&\240\007\240y\260\t\270\036\300q\340\004\007\200y\220\004\220J\230l\250-\3207N\310d\320RV\320VW\330\010\013\2108\2206\230\023\230A\330\014\020\220\001\330\014\022\220*\230A\230Q\340\004\007\320\007\037\230q\240\t\250\021\340\010\020\220\010\230\001\230\026\230v\240W\250I\260Y\270n\310A\330\010\017\210z\230\021\230'\240\030\250\032\2601\340\010\017\210{\230!\2307\240(\250*\260H\270N\310!";
static const char __pyx_k_Unsupported_time_units_provided[] = "Unsupported time units provided, {!r}.";
static const char __pyx_k_Yc_t4vS_DPVVYYbbc_t_4t6_IURVV_c[] = "\200\001\360\010\000\005\016\210Y\220c\320\031/\250t\2604\260v\270S\300\010\310\004\310D\320PV\320VY\320Yb\320bc\330\016\027\220t\230<\240|\2604\260t\2706\300\023\300I\310U\320RV\320V\\\320\\^\320^c\320cd\330\r\021\220\026\220s\230%\230t\2404\240w\250c\260\023\260D\270\004\270E\300\022\3001";
static const char __pyx_k_add_dayofwk_dayofyr_daysinmonth[] = "add dayofwk, dayofyr, daysinmonth attributes to python datetime instance";
static const char __pyx_k_ap_q_Qa_4q_2V1CvQ_q_q_r_E_Rs_AQ[] = "\200\001\330\033*\320*>\270a\360p\001\000\005\020\210q\330\004\005\330\010\r\210Q\210a\340\010\013\2104\210q\340\014\023\2202\220V\2301\230C\230v\240Q\340\014\027\220q\360\006\000\005\020\210q\330\004\007\200r\210\023\210E\220\021\220'\230\024\230R\230s\240*\250A\250Q\330\010\017\210u\220A\330\010\023\2201\360\006\000\005\r\210B\210k\230\021\230!\330\004\014\210E\220\021\330\004\033\2301\330\004\010\210\010\220\005\220Q\330\010\013\2104\210z\230\021\230%\230q\330\013\"\240!\330\013\014\360\n\000\005\010\200~\220S\230\001\330\010\013\2109\220C\220q\330\014\021\220\025\220e\2301\230A\330\014\017\210z\230\021\230#\230Q\330\020 \240\001\340\020\021\330\024$\240B\240a\330\027\030\330\024\032\230*\240A\320%C\3004\300q\310\001\340\014\034\320\034/\250q\260\001\360\010\000\005\010\200t\2101\330\010\013\2101\330\014\027\220q\340\014\021\220\025\220e\2301\230A\330\014\017\210z\230\021\230#\230Q\330\020\033\2301\340\020\021\330\024\037\230r\240\021\330\027\030\330\024\032\230*\240A\320%=\270T\300\021\300!\340\004\017\210x\220v\230Q\330\004\017\210z\230\021\230&\240\t\250\031\260.\300\001\330\005\013\210=\230\n\240!\2401\340\004\007\200y\220\004\220J\230l\250-\3207N\310d\320RV\320VW\330\010\013\2108\2206\230\023\230A\330\014\020\220\001\330\014\022\220*\230A\230Q\330\004\007\200u\210G\2201\330\010\016\210j\230\001\320\031A\300\027\310\001\310\021\330\004\007\200u\210D\220\n\230)\2404\240y\260\003\2601\330\010\016\210j\230\001\230\021\330\004\025\220Y\230a\230}\320,C\3001\300A\330\004\"\240(\250\"\320,B\300$\320F^\320^_\320_h\320hi\340\004\007\320\007#\2404\240q\330\010\036\230a\330\010\013\2104\210z\230\021\230*\240A\330\014\027\220}\240A\240X\250W\260H\270H\300H\310A\330\027\037\230w\240h\250i\260x\270q\330\027\037\230q\340\010\036\230a\340\010\024\320\0241\260\021\260*\270J\300g\310^\320[\\\330\004\014\210A\330\004\010\210\003\2108\2209\230A\230U\240!\330\010\013\2109\220D\230\004\230E\240\021\240!\330\014\021\220\027\230\001\230\021\330\014\r\360\006\000\t\014\2101\340\014""\017\210w\220a\220v\230Y\240f\250G\2601\330\020\027\220t\2308\2401\240G\2506\260\022\2604\260z\300\021\340\014\023\320\0230\260\001\260\026\260z\300\027\310\016\320VW\340\010\r\210U\220\"\220A\330\010\013\2103\210b\220\017\230s\240)\2501\250A\340\014\027\220r\230\026\230q\240\003\2403\240a\330\014\021\220\027\230\001\230\021\340\014\017\210q\360\020\000\021\030\220r\230\026\230r\240\034\250Q\330\027\031\230\031\240\"\240H\250A\330\027\031\230\021\330\020\031\230\036\240v\250R\250|\2701\330\031'\240y\260\002\260(\270!\330\031'\240q\330\020\033\2302\230[\250\001\250\025\250b\260\002\260+\270Q\270a\340\020\033\2303\230b\240\001\330\014\021\220\027\230\001\230\021\340\004\007\200q\330\010\020\220\002\220&\230\001\230\027\240\006\240a\330\010\020\220\002\220#\220_\240A\240Q\330\010\013\2101\330\014\023\2205\230\001\230\021\340\014\023\2202\220X\230Q\230g\240Q\330\004\007\200q\330\010\017\210u\220A\220Q\340\010\017\210r\220\030\230\021\230\"\230F\240!\2408\2501";
static const char __pyx_k_has_year_zero_kwarg_ignored_for[] = "has_year_zero kwarg ignored for idealized calendars (always True)";
static const char __pyx_k_invalid_microsecond_provided_in[] = "invalid microsecond provided in {0!r}";
static const char __pyx_k_months_since_units_only_allowed[] = "'months since' units only allowed for '360_day' calendar";
static const char __pyx_k_netcdf_time_variable_is_missing[] = "netcdf time variable is missing a 'units' attribute";
static const char __pyx_k_s_is_not_an_option_for_the_sele[] = "%s is not an option for the **select** argument.";
static const char __pyx_k_s_units_only_allowed_for_365_da[] = "'%s' units only allowed for '365_day' and 'noleap' calendars";
static const char __pyx_k_t_Ql_t4z_a_j_1_1_V1JfA_t1_j_A_Q[] = "\200\001\360\032\000\005\010\200t\210:\220Q\220l\240%\240t\2504\250z\270\021\270,\300a\330\010\016\210j\230\001\320\0311\260\022\2601\330\004\010\210\r\220V\2301\230J\240f\250A\330\004\007\200t\2101\330\010\016\210j\230\001\320\031:\270\"\270A\330\004\r\210Q\210j\230\001\330\004\024\220O\2401\240F\250!\2501\330\004\007\200v\210Q\210h\220c\230\021\330\010\016\210a\210z\230\021\330\004\007\200v\210Q\210j\230\003\2301\330\010\016\210a\210|\2301\330\004\007\200v\210Q\210j\230\003\2301\330\010\016\210a\210|\2301\330\004\007\200v\210Q\210l\230#\230Q\330\010\016\210a\210~\230Q\340\010\016\210a\210~\230S\240\001\240\025\240a\240w\250b\260\006\260a\260}\300B\300a\330\004\014\210C\210q\220\006\220a\220q\330\004\013\2107\220#\220Q\220f\230A\230[\250\003\2501\250F\260!\2601\330\010\013\2101\210F\220!\220:\230S\240\001\240\026\240q\250\014\260C\260q\270\006\270a\270q\330\010\013\2101\210F\220!\2201\330\010\t";
static const char __pyx_k_there_are_only_30_days_in_every[] = "there are only 30 days in every month with the 360_day calendar";
static const char __pyx_k_time_values_outside_range_of_64[] = "time values outside range of 64 bit signed integers";
static const char __pyx_k_xvQ_S_1A_M_1A_vV3l_hb_4vS_SWW_d[] = "\320\000 \240\001\360\014\000\005\020\210x\220v\230Q\340\004\007\200~\220S\230\001\330\010\030\320\030+\2501\250A\330\005\014\210M\230\032\2401\240A\330\004\007\200v\210V\2203\220l\240$\240h\250b\260\013\2704\270v\300S\310\013\320SW\320W`\320`d\320do\320oz\320z}\360\000\000~\001D\002\360\000\000D\002G\002\360\000\000G\002H\002\330\010\013\2106\220\023\220L\240\004\240I\250S\260\001\330\014\022\220*\230A\230Q\330\010\013\2106\220\023\220K\230t\2409\250H\260K\270q\330\014\022\220*\230A\320\035\\\320\\^\320^_\340\014\022\220*\230A\330\014\r\360\010\000M\001O\001\310a\340\004\n\210'\220\025\220f\230H\240H\250M\270\021\330\010\023\2202\220Y\230f\240A\330\004\007\200u\210C\210r\220\024\220T\230\036\240t\2509\260D\270\n\300,\310m\320[\\\330\010\014\210A\330\010\016\210j\230\001\230\021\330\004\007\200y\220\004\220J\230k\250\024\250V\2603\260b\270\004\270D\300\003\3001\330\010\016\210j\230\001\330\014\r\330\004\007\200y\220\003\220:\230T\240\024\240R\240q\330\010\016\210j\230\001\330\014\r\330\004\017\210x\220q\230\006\230g\240U\250&\260\010\270\001\330\030$\240I\250Y\260n\300A\340\004\007\200q\330\010\024\220I\230Q\230e\240:\250Q\250a\330\004\013\2101";
static const char __pyx_k_year_zero_does_not_exist_in_the[] = "year zero does not exist in the %s calendar";
static const char __pyx_k_zero_not_allowed_as_a_reference[] = "zero not allowed as a reference year when has_year_zero=False";
static const char __pyx_k_A_H_Qaq_4uF_c_Qe5_U_uE_a_a_wa_9F[] = "\200A\330.H\310\001\360\032\000\t\016\210Q\210a\210q\220\003\2204\220u\230F\240&\250\001\250\025\250c\260\021\340\010\025\220Q\220e\2305\240\005\240U\250%\250u\260E\270\025\270a\330\010\t\330\014\031\230\037\250\t\260\021\260,\270a\340\014\017\210w\220a\220|\2409\250F\260'\270\021\330\021\036\230j\250\010\260\001\260\027\270\006\270b\300\n\310*\320TU\330\014\r\330\014\025\220S\320\030.\250a\330\r\026\220d\230,\240l\260%\260z\300\026\300r\310\025\310a\330\016\030\230\006\230c\240\025\240d\250*\260G\2702\270T\300\021\330\016\030\230\006\230c\240\025\240d\250*\260G\2703\270c\300\024\300Z\310u\320TV\320VW\330\014\017\210t\320\023#\240:\250Q\330\020\024\220A\330\020\026\220h\230a\230q\340\014\023\2208\2301\230J\240g\250Z\260x\270z\310\021\330\034&\240g\250Z\260y\300\n\310!\330\034&\240n\260I\270Z\300~\320UV\360\010\000\020\021\330\014\021\220\026\220t\2305\240\007\240w\250n\270I\300Q\300k\320QR\330\014\023\2208\2301\230E\240\026\240t\2505\260\007\260w\270a\330\034%\240Y\250n\270A";
static const char __pyx_k_If_f_is_used_for_microseconds_it[] = "If %f is used for microseconds it must be the at the end as .%f";
static const char __pyx_k_Incorrectly_formatted_CF_date_ti[] = "Incorrectly formatted CF date-time unit_string";
static const char __pyx_k_OverflowError_in_datetime_possib[] = "OverflowError in datetime, possibly because year < datetime.MINYEAR";
static const char __pyx_k_Replacing_the_calendar_of_a_date[] = "Replacing the calendar of a datetime is not supported.";
static const char __pyx_k_Replacing_the_dayofyr_or_dayofwk[] = "Replacing the dayofyr or dayofwk of a datetime is not supported.";
static const char __pyx_k_Some_of_the_times_given_are_afte[] = "Some of the times given are after the last time in **nctime**.";
static const char __pyx_k_Some_of_the_times_given_are_befo[] = "Some of the times given are before the first time in **nctime**.";
static const char __pyx_k_Some_of_the_times_specified_were[] = "Some of the times specified were not found in the **nctime** variable.";
static const char __pyx_k_This_strftime_implementation_doe[] = "This strftime implementation does not handle %s";
static const char __pyx_k_Units_of_months_only_valid_for_3[] = "Units of months only valid for 360_day calendar.";
static const char __pyx_k_cannot_compare_0_r_and_1_r_diffe[] = "cannot compare {0!r} and {1!r} (different calendars)";
static const char __pyx_k_cannot_compute_the_time_differen[] = "cannot compute the time difference between dates with different calendars";
static const char __pyx_k_cannot_specify_a_leap_day_as_the[] = "cannot specify a leap day as the reference time with the noleap calendar";
static const char __pyx_k_change_calendar_only_works_for_r[] = "change_calendar only works for real-world calendars";
static const char __pyx_k_illegal_calendar_or_reference_da[] = "illegal calendar or reference date for python datetime";
static const char __pyx_k_invalid_day_number_provided_in_0[] = "invalid day number provided in {0!r}";
static const char __pyx_k_no_leap_days_in_365_day_calendar[] = "no leap days in 365_day calendar";
static const char __pyx_k_numpy__core_multiarray_failed_to[] = "numpy._core.multiarray failed to import";
static const char __pyx_k_numpy__core_umath_failed_to_impo[] = "numpy._core.umath failed to import";
static const char __pyx_k_one_of_the_supplied_format_direc[] = "one of the supplied format directives may not be consistent with the chosen calendar";
static const char __pyx_k_this_date_calendar_year_zero_con[] = "this date/calendar/year zero convention is not supported by CF";
static const char __pyx_k_year_0_was_specified_this_date_c[] = "year=0 was specified - this date/calendar/year zero convention is not supported by CF";
static const char __pyx_k_year_zero_requested_but_has_year[] = "year zero requested, but has_year_zero=False";
static const char __pyx_k_0_1_2_3_4_5_6_7_8_calendar_9_ha_2[] = "{0}.{1}({2}, {3}, {4}, {5}, {6}, {7}, {8}, calendar='{9}', has_year_zero={10})";
static const char __pyx_k_zero_not_allowed_as_a_reference_2[] = "zero not allowed as a reference year, does not exist in Julian or Gregorian calendars";
static const char __pyx_k_zero_not_allowed_as_a_reference_3[] = "zero not allowed as a reference year unless has_year_zero=True";
static const char __pyx_k_cannot_compute_the_time_differen_2[] = "cannot compute the time difference between dates that are not calendar-aware";
static const char __pyx_k_cannot_compute_the_time_differen_3[] = "cannot compute the time difference between dates with year zero conventions";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_6cftime_7_cftime_13real_datetime_dayofwk(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_13real_datetime_2dayofyr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_13real_datetime_4daysinmonth(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime__datesplit(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_timestr); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_2_dateparse(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_timestr, PyObject *__pyx_v_calendar, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_4_can_use_python_datetime(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_date, PyObject *__pyx_v_calendar); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_6date2num(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_dates, PyObject *__pyx_v_units, PyObject *__pyx_v_calendar, PyObject *__pyx_v_has_year_zero, PyObject *__pyx_v_longdouble); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8num2pydate(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_times, PyObject *__pyx_v_units, PyObject *__pyx_v_calendar); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_10to_calendar_specific_datetime(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_dt, PyObject *__pyx_v_calendar, PyObject *__pyx_v_use_python_datetime, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_12cast_to_int(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_num, PyObject *__pyx_v_units); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_14upcast_times(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_num); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_16scale_times(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_num, PyObject *__pyx_v_factor); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_18decode_date_from_scalar(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_time_in_microseconds, PyObject *__pyx_v_basedate); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_20decode_dates_from_array(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_times_in_microseconds, PyObject *__pyx_v_basedate); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_22num2date(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_times, PyObject *__pyx_v_units, PyObject *__pyx_v_calendar, PyObject *__pyx_v_only_use_cftime_datetimes, PyObject *__pyx_v_only_use_python_datetimes, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_24date2index(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_dates, PyObject *__pyx_v_nctime, PyObject *__pyx_v_calendar, PyObject *__pyx_v_select, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_26_parse_date(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_datestring); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_28_date2index(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_dates, PyObject *__pyx_v_nctime, PyObject *__pyx_v_calendar, PyObject *__pyx_v_select, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_30time2index(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_times, PyObject *__pyx_v_nctime, PyObject *__pyx_v_calendar, PyObject *__pyx_v_select); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_32to_tuple(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_dt); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_34_create_datetime(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_date_type, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static int __pyx_pf_6cftime_7_cftime_8datetime___init__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, int __pyx_v_year, int __pyx_v_month, int __pyx_v_day, int __pyx_v_hour, int __pyx_v_minute, int __pyx_v_second, int __pyx_v_microsecond, int __pyx_v_dayofwk, int __pyx_v_dayofyr, PyObject *__pyx_v_calendar, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_6format___get__(CYTHON_UNUSED struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_7dayofwk___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_7dayofyr___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_11daysinmonth___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_2strftime(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, PyObject *__pyx_v_format); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_8strptime_genexpr(PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_4strptime(PyObject *__pyx_v_datestring, PyObject *__pyx_v_format, PyObject *__pyx_v_calendar, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_6__format__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, PyObject *__pyx_v_format); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_8replace(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_10timetuple(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_12_to_real_datetime(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_14__repr__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_16__str__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_18isoformat(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, PyObject *__pyx_v_sep, PyObject *__pyx_v_timespec); /* proto */
static Py_hash_t __pyx_pf_6cftime_7_cftime_8datetime_20__hash__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_22to_tuple(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_24__richcmp__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, PyObject *__pyx_v_other, int __pyx_v_op); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_26__reduce__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_28fromordinal(PyObject *__pyx_v_jday, PyObject *__pyx_v_calendar, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_30toordinal(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, PyObject *__pyx_v_fractional); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_32change_calendar(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self, PyObject *__pyx_v_calendar, PyObject *__pyx_v_has_year_zero); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_34__add__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_36__sub__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_4year___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_5month___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_3day___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_4hour___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_6minute___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_6second___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_11microsecond___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_8calendar___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_8_dayofwk___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_8_dayofyr___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_13has_year_zero___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_6tzinfo___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_8datetime_19datetime_compatible___get__(struct __pyx_obj_6cftime_7_cftime_datetime *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6cftime_7_cftime_36is_leap_year(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_year, PyObject *__pyx_v_calendar, PyObject *__pyx_v_has_year_zero); /* proto */
static int __pyx_pf_6cftime_7_cftime_14DatetimeNoLeap___init__(struct __pyx_obj_6cftime_7_cftime_DatetimeNoLeap *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static int __pyx_pf_6cftime_7_cftime_15DatetimeAllLeap___init__(struct __pyx_obj_6cftime_7_cftime_DatetimeAllLeap *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static int __pyx_pf_6cftime_7_cftime_14Datetime360Day___init__(struct __pyx_obj_6cftime_7_cftime_Datetime360Day *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static int __pyx_pf_6cftime_7_cftime_14DatetimeJulian___init__(struct __pyx_obj_6cftime_7_cftime_DatetimeJulian *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static int __pyx_pf_6cftime_7_cftime_17DatetimeGregorian___init__(struct __pyx_obj_6cftime_7_cftime_DatetimeGregorian *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static int __pyx_pf_6cftime_7_cftime_26DatetimeProlepticGregorian___init__(struct __pyx_obj_6cftime_7_cftime_DatetimeProlepticGregorian *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_tp_new_6cftime_7_cftime_datetime(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeNoLeap(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeAllLeap(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime_Datetime360Day(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeJulian(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeGregorian(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeProlepticGregorian(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime___pyx_scope_struct__strptime(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6cftime_7_cftime___pyx_scope_struct_1_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
/* SmallCodeConfig */
#ifndef CYTHON_SMALL_CODE
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/* #### Code section: module_state_contents ### */

#if CYTHON_USE_FREELISTS
struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *__pyx_freelist_6cftime_7_cftime___pyx_scope_struct__strptime[8];
int __pyx_freecount_6cftime_7_cftime___pyx_scope_struct__strptime;
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#if CYTHON_USE_FREELISTS
struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct_1_genexpr *__pyx_freelist_6cftime_7_cftime___pyx_scope_struct_1_genexpr[8];
int __pyx_freecount_6cftime_7_cftime___pyx_scope_struct_1_genexpr;
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PyTypeObject *__pyx_CommonTypesMetaclassType;

/* CachedMethodType.module_state_decls */
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PyObject *__Pyx_GetBuiltinNext_LimitedAPI_cache;
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#if CYTHON_USE_MODULE_STATE
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#define __pyx_mstate_global (__Pyx_PyModule_GetState(__Pyx_State_FindModule(&__pyx_moduledef)))

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static __pyx_mstatetype __pyx_mstate_global_static =
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static __pyx_mstatetype * const __pyx_mstate_global = &__pyx_mstate_global_static;
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/* #### Code section: constant_name_defines ### */
#define __pyx_kp_u_ __pyx_string_tab[0]
#define __pyx_kp_u_02d __pyx_string_tab[1]
#define __pyx_kp_u_02d_2 __pyx_string_tab[2]
#define __pyx_kp_u_03d __pyx_string_tab[3]
#define __pyx_kp_u_04d __pyx_string_tab[4]
#define __pyx_kp_u_04d_02d_02d __pyx_string_tab[5]
#define __pyx_kp_u_05d __pyx_string_tab[6]
#define __pyx_kp_u_05d_02d_02d __pyx_string_tab[7]
#define __pyx_kp_u_06d __pyx_string_tab[8]
#define __pyx_kp_u_0_1_2_3_4_5_6_7_8_calendar_9_ha __pyx_string_tab[9]
#define __pyx_kp_u_0_1_2_3_4_5_6_7_8_calendar_9_ha_2 __pyx_string_tab[10]
#define __pyx_kp_u_0_1_2_3_4_5_6_7_8_has_year_zero __pyx_string_tab[11]
#define __pyx_kp_u_0_r_is_not_present_in_the_mixed __pyx_string_tab[12]
#define __pyx_kp_u_0_s __pyx_string_tab[13]
#define __pyx_kp_u_360_day __pyx_string_tab[14]
#define __pyx_kp_u_365_day __pyx_string_tab[15]
#define __pyx_kp_u_366_day __pyx_string_tab[16]
#define __pyx_n_u_A __pyx_string_tab[17]
#define __pyx_n_u_AttributeError __pyx_string_tab[18]
#define __pyx_n_u_CFWarning __pyx_string_tab[19]
#define __pyx_kp_u_Cannot_compute_the_time_differe __pyx_string_tab[20]
#define __pyx_n_u_DATE_TYPES __pyx_string_tab[21]
#define __pyx_n_u_Datetime360Day __pyx_string_tab[22]
#define __pyx_n_u_DatetimeAllLeap __pyx_string_tab[23]
#define __pyx_n_u_DatetimeGregorian __pyx_string_tab[24]
#define __pyx_n_u_DatetimeJulian __pyx_string_tab[25]
#define __pyx_n_u_DatetimeNoLeap __pyx_string_tab[26]
#define __pyx_n_u_DatetimeProlepticGregorian __pyx_string_tab[27]
#define __pyx_kp_u_Expecting_a_string_r __pyx_string_tab[28]
#define __pyx_n_u_G __pyx_string_tab[29]
#define __pyx_n_u_ISO8601_REGEX __pyx_string_tab[30]
#define __pyx_kp_u_If_f_is_used_for_microseconds_it __pyx_string_tab[31]
#define __pyx_n_u_ImportError __pyx_string_tab[32]
#define __pyx_kp_u_In_general_units_must_be_one_of __pyx_string_tab[33]
#define __pyx_kp_u_Incorrectly_formatted_CF_date_ti __pyx_string_tab[34]
#define __pyx_n_u_IndexError __pyx_string_tab[35]
#define __pyx_n_u_KeyError __pyx_string_tab[36]
#define __pyx_n_u_MAXYEAR __pyx_string_tab[37]
#define __pyx_n_u_MAX_INT64 __pyx_string_tab[38]
#define __pyx_n_u_MINYEAR __pyx_string_tab[39]
#define __pyx_n_u_MIN_INT64 __pyx_string_tab[40]
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#define __pyx_n_u_NotImplemented __pyx_string_tab[43]
#define __pyx_n_u_O __pyx_string_tab[44]
#define __pyx_n_u_OverflowError __pyx_string_tab[45]
#define __pyx_kp_u_OverflowError_in_datetime_possib __pyx_string_tab[46]
#define __pyx_kp_u_P_prefix_P_hours_0_9_2_P_minute __pyx_string_tab[47]
#define __pyx_kp_u_P_year_0_9_P_month_0_9_1_2_P_da __pyx_string_tab[48]
#define __pyx_kp_u_Replacing_the_calendar_of_a_date __pyx_string_tab[49]
#define __pyx_kp_u_Replacing_the_dayofyr_or_dayofwk __pyx_string_tab[50]
#define __pyx_kp_u_Some_of_the_times_given_are_afte __pyx_string_tab[51]
#define __pyx_kp_u_Some_of_the_times_given_are_befo __pyx_string_tab[52]
#define __pyx_kp_u_Some_of_the_times_specified_were __pyx_string_tab[53]
#define __pyx_n_u_T __pyx_string_tab[54]
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#define __pyx_kp_u_Units_of_months_only_valid_for_3 __pyx_string_tab[61]
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#define __pyx_kp_u__2 __pyx_string_tab[69]
#define __pyx_kp_u__3 __pyx_string_tab[70]
#define __pyx_kp_u__4 __pyx_string_tab[71]
#define __pyx_kp_u__5 __pyx_string_tab[72]
#define __pyx_kp_u__6 __pyx_string_tab[73]
#define __pyx_kp_u__7 __pyx_string_tab[74]
#define __pyx_n_u_a __pyx_string_tab[75]
#define __pyx_n_u_abs __pyx_string_tab[76]
#define __pyx_kp_u_add_dayofwk_dayofyr_daysinmonth __pyx_string_tab[77]
#define __pyx_n_u_after __pyx_string_tab[78]
#define __pyx_n_u_all __pyx_string_tab[79]
#define __pyx_n_u_all_leap __pyx_string_tab[80]
#define __pyx_n_u_all_python_datetimes __pyx_string_tab[81]
#define __pyx_n_u_any __pyx_string_tab[82]
#define __pyx_n_u_append __pyx_string_tab[83]
#define __pyx_n_u_args __pyx_string_tab[84]
#define __pyx_n_u_argsort __pyx_string_tab[85]
#define __pyx_n_u_around __pyx_string_tab[86]
#define __pyx_n_u_array __pyx_string_tab[87]
#define __pyx_n_u_asanyarray __pyx_string_tab[88]
#define __pyx_n_u_astype __pyx_string_tab[89]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[90]
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#define __pyx_n_u_basedate __pyx_string_tab[93]
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#define __pyx_n_u_bisect __pyx_string_tab[95]
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#define __pyx_kp_u_calendar_must_be_one_of __pyx_string_tab[100]
#define __pyx_n_u_calendars __pyx_string_tab[101]
#define __pyx_n_u_can_use_python_basedatetime __pyx_string_tab[102]
#define __pyx_n_u_can_use_python_datetime __pyx_string_tab[103]
#define __pyx_n_u_can_use_python_datetime_2 __pyx_string_tab[104]
#define __pyx_kp_u_cannot_compare_0_r_and_1_r __pyx_string_tab[105]
#define __pyx_kp_u_cannot_compare_0_r_and_1_r_diffe __pyx_string_tab[106]
#define __pyx_kp_u_cannot_compute_the_time_differen __pyx_string_tab[107]
#define __pyx_kp_u_cannot_compute_the_time_differen_2 __pyx_string_tab[108]
#define __pyx_kp_u_cannot_compute_the_time_differen_3 __pyx_string_tab[109]
#define __pyx_kp_u_cannot_specify_a_leap_day_as_the __pyx_string_tab[110]
#define __pyx_n_u_cast_to_int __pyx_string_tab[111]
#define __pyx_n_u_casting __pyx_string_tab[112]
#define __pyx_n_u_catch_warnings __pyx_string_tab[113]
#define __pyx_n_u_category __pyx_string_tab[114]
#define __pyx_n_u_ceil __pyx_string_tab[115]
#define __pyx_n_u_cftime __pyx_string_tab[116]
#define __pyx_n_u_cftime__cftime __pyx_string_tab[117]
#define __pyx_n_u_cfwarnmsg __pyx_string_tab[118]
#define __pyx_n_u_change_calendar __pyx_string_tab[119]
#define __pyx_kp_u_change_calendar_only_works_for_r __pyx_string_tab[120]
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#define __pyx_n_u_cline_in_traceback __pyx_string_tab[123]
#define __pyx_n_u_clip __pyx_string_tab[124]
#define __pyx_n_u_close __pyx_string_tab[125]
#define __pyx_n_u_common_year __pyx_string_tab[126]
#define __pyx_n_u_common_years __pyx_string_tab[127]
#define __pyx_n_u_compatible_date __pyx_string_tab[128]
#define __pyx_n_u_compile __pyx_string_tab[129]
#define __pyx_n_u_core __pyx_string_tab[130]
#define __pyx_n_u_create_datetime __pyx_string_tab[131]
#define __pyx_n_u_d __pyx_string_tab[132]
#define __pyx_n_u_d0 __pyx_string_tab[133]
#define __pyx_n_u_date __pyx_string_tab[134]
#define __pyx_n_u_date2index __pyx_string_tab[135]
#define __pyx_n_u_date2index_2 __pyx_string_tab[136]
#define __pyx_n_u_date2num __pyx_string_tab[137]
#define __pyx_kp_u_date_2 __pyx_string_tab[138]
#define __pyx_n_u_date_type __pyx_string_tab[139]
#define __pyx_n_u_dateparse __pyx_string_tab[140]
#define __pyx_n_u_dates __pyx_string_tab[141]
#define __pyx_n_u_dates_test __pyx_string_tab[142]
#define __pyx_n_u_datesplit __pyx_string_tab[143]
#define __pyx_n_u_datestring __pyx_string_tab[144]
#define __pyx_n_u_datetime __pyx_string_tab[145]
#define __pyx_n_u_datetime___format __pyx_string_tab[146]
#define __pyx_n_u_datetime___reduce __pyx_string_tab[147]
#define __pyx_n_u_datetime__to_real_datetime __pyx_string_tab[148]
#define __pyx_n_u_datetime_change_calendar __pyx_string_tab[149]
#define __pyx_n_u_datetime_compatible __pyx_string_tab[150]
#define __pyx_n_u_datetime_fromordinal __pyx_string_tab[151]
#define __pyx_n_u_datetime_isoformat __pyx_string_tab[152]
#define __pyx_n_u_datetime_python __pyx_string_tab[153]
#define __pyx_n_u_datetime_replace __pyx_string_tab[154]
#define __pyx_n_u_datetime_strftime __pyx_string_tab[155]
#define __pyx_n_u_datetime_strptime __pyx_string_tab[156]
#define __pyx_n_u_datetime_timetuple __pyx_string_tab[157]
#define __pyx_n_u_datetime_to_tuple __pyx_string_tab[158]
#define __pyx_n_u_datetime_toordinal __pyx_string_tab[159]
#define __pyx_n_u_day __pyx_string_tab[160]
#define __pyx_n_u_day_units __pyx_string_tab[161]
#define __pyx_n_u_dayofwk __pyx_string_tab[162]
#define __pyx_n_u_dayofyr __pyx_string_tab[163]
#define __pyx_n_u_days __pyx_string_tab[164]
#define __pyx_kp_u_days_since_0_1_1_12 __pyx_string_tab[165]
#define __pyx_kp_u_days_since_4712_1_1_12 __pyx_string_tab[166]
#define __pyx_kp_u_days_since_4713_11_24_12 __pyx_string_tab[167]
#define __pyx_kp_u_days_since_4713_1_1_12 __pyx_string_tab[168]
#define __pyx_kp_u_days_since_4714_11_24_12 __pyx_string_tab[169]
#define __pyx_n_u_daysinmonth __pyx_string_tab[170]
#define __pyx_n_u_decode_date_from_scalar __pyx_string_tab[171]
#define __pyx_n_u_decode_dates_from_array __pyx_string_tab[172]
#define __pyx_n_u_delta __pyx_string_tab[173]
#define __pyx_n_u_deltas __pyx_string_tab[174]
#define __pyx_n_u_dict __pyx_string_tab[175]
#define __pyx_n_u_diff __pyx_string_tab[176]
#define __pyx_n_u_differential_deltas __pyx_string_tab[177]
#define __pyx_kp_u_disable __pyx_string_tab[178]
#define __pyx_n_u_doc __pyx_string_tab[179]
#define __pyx_kp_u_does_not_exist_in_the __pyx_string_tab[180]
#define __pyx_n_u_dt __pyx_string_tab[181]
#define __pyx_n_u_dtype __pyx_string_tab[182]
#define __pyx_n_u_e __pyx_string_tab[183]
#define __pyx_n_u_empty __pyx_string_tab[184]
#define __pyx_kp_u_enable __pyx_string_tab[185]
#define __pyx_n_u_endswith __pyx_string_tab[186]
#define __pyx_n_u_enter __pyx_string_tab[187]
#define __pyx_n_u_enumerate __pyx_string_tab[188]
#define __pyx_n_u_exact __pyx_string_tab[189]
#define __pyx_n_u_exit __pyx_string_tab[190]
#define __pyx_n_u_f __pyx_string_tab[191]
#define __pyx_kp_u_f_2 __pyx_string_tab[192]
#define __pyx_kp_u_f_3 __pyx_string_tab[193]
#define __pyx_n_u_factor __pyx_string_tab[194]
#define __pyx_n_u_fd __pyx_string_tab[195]
#define __pyx_n_u_filled __pyx_string_tab[196]
#define __pyx_n_u_find __pyx_string_tab[197]
#define __pyx_n_u_flat __pyx_string_tab[198]
#define __pyx_n_u_floor __pyx_string_tab[199]
#define __pyx_n_u_form __pyx_string_tab[200]
#define __pyx_n_u_form0 __pyx_string_tab[201]
#define __pyx_n_u_format __pyx_string_tab[202]
#define __pyx_n_u_format_2 __pyx_string_tab[203]
#define __pyx_n_u_fracday __pyx_string_tab[204]
#define __pyx_n_u_fraction __pyx_string_tab[205]
#define __pyx_n_u_fractional __pyx_string_tab[206]
#define __pyx_n_u_fromordinal __pyx_string_tab[207]
#define __pyx_n_u_func __pyx_string_tab[208]
#define __pyx_kp_u_gc __pyx_string_tab[209]
#define __pyx_n_u_genexpr __pyx_string_tab[210]
#define __pyx_n_u_getmask __pyx_string_tab[211]
#define __pyx_kp_u_got __pyx_string_tab[212]
#define __pyx_n_u_greater __pyx_string_tab[213]
#define __pyx_n_u_gregorian __pyx_string_tab[214]
#define __pyx_n_u_groupdict __pyx_string_tab[215]
#define __pyx_n_u_groups __pyx_string_tab[216]
#define __pyx_n_u_h __pyx_string_tab[217]
#define __pyx_n_u_has_year_zero __pyx_string_tab[218]
#define __pyx_kp_u_has_year_zero_kwarg_ignored_for __pyx_string_tab[219]
#define __pyx_kp_u_has_year_zero_not_specified __pyx_string_tab[220]
#define __pyx_n_u_hour __pyx_string_tab[221]
#define __pyx_n_u_hours __pyx_string_tab[222]
#define __pyx_n_u_hr __pyx_string_tab[223]
#define __pyx_n_u_hr_units __pyx_string_tab[224]
#define __pyx_n_u_hrs __pyx_string_tab[225]
#define __pyx_n_u_i __pyx_string_tab[226]
#define __pyx_n_u_idealized_calendars __pyx_string_tab[227]
#define __pyx_n_u_ignore __pyx_string_tab[228]
#define __pyx_n_u_iinfo __pyx_string_tab[229]
#define __pyx_n_u_ijd __pyx_string_tab[230]
#define __pyx_kp_u_illegal_calendar_or_reference_da __pyx_string_tab[231]
#define __pyx_n_u_illegal_s __pyx_string_tab[232]
#define __pyx_kp_u_illegal_timespec __pyx_string_tab[233]
#define __pyx_n_u_index __pyx_string_tab[234]
#define __pyx_n_u_init __pyx_string_tab[235]
#define __pyx_n_u_initializing __pyx_string_tab[236]
#define __pyx_n_u_int64 __pyx_string_tab[237]
#define __pyx_n_u_int_num __pyx_string_tab[238]
#define __pyx_kp_u_invalid_date_in_mixed_calendar __pyx_string_tab[239]
#define __pyx_kp_u_invalid_day_number_provided_in_0 __pyx_string_tab[240]
#define __pyx_kp_u_invalid_hour_provided_in_0_r __pyx_string_tab[241]
#define __pyx_kp_u_invalid_microsecond_provided_in __pyx_string_tab[242]
#define __pyx_kp_u_invalid_minute_provided_in_0_r __pyx_string_tab[243]
#define __pyx_kp_u_invalid_month_provided_in_0_r __pyx_string_tab[244]
#define __pyx_kp_u_invalid_second_provided_in_0_r __pyx_string_tab[245]
#define __pyx_kp_u_invalid_year_provided_in_0_r __pyx_string_tab[246]
#define __pyx_n_u_isMA __pyx_string_tab[247]
#define __pyx_n_u_is_coroutine __pyx_string_tab[248]
#define __pyx_n_u_is_leap_year __pyx_string_tab[249]
#define __pyx_n_u_is_masked __pyx_string_tab[250]
#define __pyx_kp_u_isenabled __pyx_string_tab[251]
#define __pyx_n_u_isfinite __pyx_string_tab[252]
#define __pyx_n_u_ismasked __pyx_string_tab[253]
#define __pyx_n_u_isoformat __pyx_string_tab[254]
#define __pyx_n_u_isostring __pyx_string_tab[255]
#define __pyx_n_u_isscalar __pyx_string_tab[256]
#define __pyx_n_u_item __pyx_string_tab[257]
#define __pyx_n_u_items __pyx_string_tab[258]
#define __pyx_n_u_iu __pyx_string_tab[259]
#define __pyx_n_u_j __pyx_string_tab[260]
#define __pyx_n_u_jd __pyx_string_tab[261]
#define __pyx_n_u_jday __pyx_string_tab[262]
#define __pyx_n_u_julian __pyx_string_tab[263]
#define __pyx_n_u_kind __pyx_string_tab[264]
#define __pyx_n_u_kwargs __pyx_string_tab[265]
#define __pyx_n_u_less __pyx_string_tab[266]
#define __pyx_n_u_longdouble __pyx_string_tab[267]
#define __pyx_n_u_lower __pyx_string_tab[268]
#define __pyx_n_u_ma __pyx_string_tab[269]
#define __pyx_n_u_main __pyx_string_tab[270]
#define __pyx_n_u_mask __pyx_string_tab[271]
#define __pyx_n_u_masked_array __pyx_string_tab[272]
#define __pyx_n_u_masked_invalid __pyx_string_tab[273]
#define __pyx_n_u_match __pyx_string_tab[274]
#define __pyx_n_u_max __pyx_string_tab[275]
#define __pyx_n_u_maximum __pyx_string_tab[276]
#define __pyx_n_u_metaclass __pyx_string_tab[277]
#define __pyx_n_u_microsec __pyx_string_tab[278]
#define __pyx_n_u_microsec_units __pyx_string_tab[279]
#define __pyx_n_u_microsecond __pyx_string_tab[280]
#define __pyx_n_u_microseconds __pyx_string_tab[281]
#define __pyx_n_u_microsecs __pyx_string_tab[282]
#define __pyx_n_u_millisec __pyx_string_tab[283]
#define __pyx_n_u_millisec_units __pyx_string_tab[284]
#define __pyx_n_u_millisecond __pyx_string_tab[285]
#define __pyx_n_u_milliseconds __pyx_string_tab[286]
#define __pyx_n_u_millisecs __pyx_string_tab[287]
#define __pyx_n_u_min __pyx_string_tab[288]
#define __pyx_n_u_min_units __pyx_string_tab[289]
#define __pyx_n_u_minimum __pyx_string_tab[290]
#define __pyx_n_u_mins __pyx_string_tab[291]
#define __pyx_n_u_minute __pyx_string_tab[292]
#define __pyx_n_u_minutes __pyx_string_tab[293]
#define __pyx_n_u_mismatch __pyx_string_tab[294]
#define __pyx_n_u_module __pyx_string_tab[295]
#define __pyx_n_u_month __pyx_string_tab[296]
#define __pyx_n_u_month_units __pyx_string_tab[297]
#define __pyx_n_u_months __pyx_string_tab[298]
#define __pyx_kp_u_months_since_units_only_allowed __pyx_string_tab[299]
#define __pyx_n_u_mro_entries __pyx_string_tab[300]
#define __pyx_n_u_ms __pyx_string_tab[301]
#define __pyx_n_u_msec __pyx_string_tab[302]
#define __pyx_n_u_msecs __pyx_string_tab[303]
#define __pyx_n_u_msg __pyx_string_tab[304]
#define __pyx_n_u_mtd __pyx_string_tab[305]
#define __pyx_n_u_munit __pyx_string_tab[306]
#define __pyx_n_u_n __pyx_string_tab[307]
#define __pyx_n_u_name __pyx_string_tab[308]
#define __pyx_n_u_name_2 __pyx_string_tab[309]
#define __pyx_n_u_nanosecond __pyx_string_tab[310]
#define __pyx_n_u_ncnum __pyx_string_tab[311]
#define __pyx_n_u_nctime __pyx_string_tab[312]
#define __pyx_n_u_ndim __pyx_string_tab[313]
#define __pyx_n_u_nearest __pyx_string_tab[314]
#define __pyx_n_u_nearest_to_left __pyx_string_tab[315]
#define __pyx_kp_u_netcdf_time_variable_is_missing __pyx_string_tab[316]
#define __pyx_n_u_next __pyx_string_tab[317]
#define __pyx_kp_u_no_calendar_specified __pyx_string_tab[318]
#define __pyx_kp_u_no_leap_days_in_365_day_calendar __pyx_string_tab[319]
#define __pyx_kp_u_no_since_in_unit_string __pyx_string_tab[320]
#define __pyx_n_u_noleap __pyx_string_tab[321]
#define __pyx_n_u_nonzero __pyx_string_tab[322]
#define __pyx_n_u_np __pyx_string_tab[323]
#define __pyx_n_u_num __pyx_string_tab[324]
#define __pyx_n_u_num2date __pyx_string_tab[325]
#define __pyx_n_u_num2pydate __pyx_string_tab[326]
#define __pyx_n_u_numpy __pyx_string_tab[327]
#define __pyx_kp_u_numpy__core_multiarray_failed_to __pyx_string_tab[328]
#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_string_tab[329]
#define __pyx_kp_u_one_of_the_supplied_format_direc __pyx_string_tab[330]
#define __pyx_n_u_only_use_cftime_datetimes __pyx_string_tab[331]
#define __pyx_n_u_only_use_python_datetimes __pyx_string_tab[332]
#define __pyx_n_u_original_mask __pyx_string_tab[333]
#define __pyx_n_u_original_shape __pyx_string_tab[334]
#define __pyx_n_u_parse_date __pyx_string_tab[335]
#define __pyx_n_u_pop __pyx_string_tab[336]
#define __pyx_n_u_prepare __pyx_string_tab[337]
#define __pyx_n_u_proleptic_gregorian __pyx_string_tab[338]
#define __pyx_n_u_property __pyx_string_tab[339]
#define __pyx_n_u_pydatetime __pyx_string_tab[340]
#define __pyx_n_u_pyx_vtable __pyx_string_tab[341]
#define __pyx_n_u_qualname __pyx_string_tab[342]
#define __pyx_n_u_quotient __pyx_string_tab[343]
#define __pyx_n_u_range __pyx_string_tab[344]
#define __pyx_n_u_ravel __pyx_string_tab[345]
#define __pyx_n_u_re __pyx_string_tab[346]
#define __pyx_n_u_real_datetime __pyx_string_tab[347]
#define __pyx_n_u_real_datetime_dayofwk __pyx_string_tab[348]
#define __pyx_n_u_real_datetime_dayofyr __pyx_string_tab[349]
#define __pyx_n_u_real_datetime_daysinmonth __pyx_string_tab[350]
#define __pyx_n_u_reduce __pyx_string_tab[351]
#define __pyx_n_u_remainder __pyx_string_tab[352]
#define __pyx_n_u_replace __pyx_string_tab[353]
#define __pyx_n_u_reshape __pyx_string_tab[354]
#define __pyx_n_u_rint __pyx_string_tab[355]
#define __pyx_n_u_round __pyx_string_tab[356]
#define __pyx_n_u_s __pyx_string_tab[357]
#define __pyx_kp_u_s_02d __pyx_string_tab[358]
#define __pyx_kp_u_s_02d_02d __pyx_string_tab[359]
#define __pyx_kp_u_s_02d_02d_02d __pyx_string_tab[360]
#define __pyx_kp_u_s_02d_02d_s __pyx_string_tab[361]
#define __pyx_kp_u_s_2 __pyx_string_tab[362]
#define __pyx_kp_u_s_is_not_a_leap_year __pyx_string_tab[363]
#define __pyx_kp_u_s_is_not_an_option_for_the_sele __pyx_string_tab[364]
#define __pyx_kp_u_s_units_only_allowed_for_365_da __pyx_string_tab[365]
#define __pyx_n_u_same_kind __pyx_string_tab[366]
#define __pyx_n_u_scale_times __pyx_string_tab[367]
#define __pyx_n_u_scaled_times __pyx_string_tab[368]
#define __pyx_n_u_search __pyx_string_tab[369]
#define __pyx_n_u_sec __pyx_string_tab[370]
#define __pyx_n_u_sec_units __pyx_string_tab[371]
#define __pyx_n_u_second __pyx_string_tab[372]
#define __pyx_n_u_seconds __pyx_string_tab[373]
#define __pyx_n_u_secs __pyx_string_tab[374]
#define __pyx_n_u_select __pyx_string_tab[375]
#define __pyx_n_u_self __pyx_string_tab[376]
#define __pyx_n_u_send __pyx_string_tab[377]
#define __pyx_n_u_sep __pyx_string_tab[378]
#define __pyx_n_u_set_name __pyx_string_tab[379]
#define __pyx_n_u_shape __pyx_string_tab[380]
#define __pyx_n_u_simplefilter __pyx_string_tab[381]
#define __pyx_n_u_since __pyx_string_tab[382]
#define __pyx_n_u_sincestring __pyx_string_tab[383]
#define __pyx_n_u_size __pyx_string_tab[384]
#define __pyx_n_u_sort_indices __pyx_string_tab[385]
#define __pyx_n_u_spec __pyx_string_tab[386]
#define __pyx_n_u_special_fd __pyx_string_tab[387]
#define __pyx_n_u_split __pyx_string_tab[388]
#define __pyx_n_u_squeeze __pyx_string_tab[389]
#define __pyx_kp_u_src_cftime__cftime_pyx __pyx_string_tab[390]
#define __pyx_n_u_standard __pyx_string_tab[391]
#define __pyx_n_u_staticmethod __pyx_string_tab[392]
#define __pyx_n_u_strftime __pyx_string_tab[393]
#define __pyx_n_u_strip __pyx_string_tab[394]
#define __pyx_n_u_strptime __pyx_string_tab[395]
#define __pyx_n_u_strptime_2 __pyx_string_tab[396]
#define __pyx_n_u_strptime_locals_genexpr __pyx_string_tab[397]
#define __pyx_n_u_struct_time __pyx_string_tab[398]
#define __pyx_n_u_super __pyx_string_tab[399]
#define __pyx_n_u_t0 __pyx_string_tab[400]
#define __pyx_n_u_t1 __pyx_string_tab[401]
#define __pyx_n_u_td __pyx_string_tab[402]
#define __pyx_n_u_test __pyx_string_tab[403]
#define __pyx_kp_u_there_are_only_30_days_in_every __pyx_string_tab[404]
#define __pyx_kp_u_this_date_calendar_year_zero_con __pyx_string_tab[405]
#define __pyx_n_u_throw __pyx_string_tab[406]
#define __pyx_n_u_time __pyx_string_tab[407]
#define __pyx_n_u_time2index __pyx_string_tab[408]
#define __pyx_n_u_time_in_microseconds __pyx_string_tab[409]
#define __pyx_kp_u_time_values_outside_range_of_64 __pyx_string_tab[410]
#define __pyx_n_u_timedelta __pyx_string_tab[411]
#define __pyx_kp_u_timedelta64_us __pyx_string_tab[412]
#define __pyx_n_u_times __pyx_string_tab[413]
#define __pyx_n_u_times_in_microseconds __pyx_string_tab[414]
#define __pyx_n_u_timespec __pyx_string_tab[415]
#define __pyx_n_u_timestr __pyx_string_tab[416]
#define __pyx_n_u_timetuple __pyx_string_tab[417]
#define __pyx_n_u_timezone __pyx_string_tab[418]
#define __pyx_n_u_tm_yday __pyx_string_tab[419]
#define __pyx_n_u_to_calendar_specific_datetime __pyx_string_tab[420]
#define __pyx_n_u_to_real_datetime __pyx_string_tab[421]
#define __pyx_n_u_to_tuple __pyx_string_tab[422]
#define __pyx_n_u_toordinal __pyx_string_tab[423]
#define __pyx_n_u_tzinfo __pyx_string_tab[424]
#define __pyx_n_u_u __pyx_string_tab[425]
#define __pyx_n_u_unit __pyx_string_tab[426]
#define __pyx_n_u_unit_timedelta __pyx_string_tab[427]
#define __pyx_n_u_units __pyx_string_tab[428]
#define __pyx_n_u_units_2 __pyx_string_tab[429]
#define __pyx_n_u_unsort_indices __pyx_string_tab[430]
#define __pyx_kp_u_unsupported_calendar __pyx_string_tab[431]
#define __pyx_n_u_upcast_times __pyx_string_tab[432]
#define __pyx_n_u_use_python_datetime __pyx_string_tab[433]
#define __pyx_n_u_utc_offset __pyx_string_tab[434]
#define __pyx_n_u_utcoffset __pyx_string_tab[435]
#define __pyx_n_u_value __pyx_string_tab[436]
#define __pyx_n_u_w __pyx_string_tab[437]
#define __pyx_n_u_warn __pyx_string_tab[438]
#define __pyx_n_u_warnings __pyx_string_tab[439]
#define __pyx_n_u_weekday __pyx_string_tab[440]
#define __pyx_n_u_where __pyx_string_tab[441]
#define __pyx_n_u_x __pyx_string_tab[442]
#define __pyx_n_u_y __pyx_string_tab[443]
#define __pyx_n_u_year __pyx_string_tab[444]
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/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":280
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/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":285
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/* "../../../../local/lib/python3.13/site-packages/numpy/__init__.cython-30.pxd":290
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static struct __pyx_vtabstruct_6cftime_7_cftime_datetime __pyx_vtable_6cftime_7_cftime_datetime;

static PyObject *__pyx_tp_new_6cftime_7_cftime_datetime(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6cftime_7_cftime_datetime *p;
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  if (likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  #endif
  p = ((struct __pyx_obj_6cftime_7_cftime_datetime *)o);
  p->__pyx_vtab = __pyx_vtabptr_6cftime_7_cftime_datetime;
  p->calendar = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->tzinfo = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6cftime_7_cftime_datetime(PyObject *o) {
  struct __pyx_obj_6cftime_7_cftime_datetime *p = (struct __pyx_obj_6cftime_7_cftime_datetime *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6cftime_7_cftime_datetime) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->calendar);
  Py_CLEAR(p->tzinfo);
  #if CYTHON_USE_TYPE_SLOTS
  (*Py_TYPE(o)->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
}

static int __pyx_tp_traverse_6cftime_7_cftime_datetime(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6cftime_7_cftime_datetime *p = (struct __pyx_obj_6cftime_7_cftime_datetime *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->tzinfo) {
    e = (*v)(p->tzinfo, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6cftime_7_cftime_datetime(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6cftime_7_cftime_datetime *p = (struct __pyx_obj_6cftime_7_cftime_datetime *)o;
  tmp = ((PyObject*)p->tzinfo);
  p->tzinfo = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
#define __pyx_nb_add_6cftime_7_cftime_datetime __pyx_pw_6cftime_7_cftime_8datetime_35__add__
#define __pyx_nb_subtract_6cftime_7_cftime_datetime __pyx_pw_6cftime_7_cftime_8datetime_37__sub__

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_format(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_6format_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_dayofwk(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_7dayofwk_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_dayofyr(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_7dayofyr_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_daysinmonth(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_11daysinmonth_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_year(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_4year_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_month(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_5month_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_day(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_3day_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_hour(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_4hour_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_minute(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_6minute_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_second(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_6second_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_microsecond(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_11microsecond_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_calendar(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_8calendar_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime__dayofwk(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_8_dayofwk_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime__dayofyr(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_8_dayofyr_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_has_year_zero(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_13has_year_zero_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_tzinfo(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_6tzinfo_1__get__(o);
}

static PyObject *__pyx_getprop_6cftime_7_cftime_8datetime_datetime_compatible(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6cftime_7_cftime_8datetime_19datetime_compatible_1__get__(o);
}

static PyMethodDef __pyx_methods_6cftime_7_cftime_datetime[] = {
  {"strftime", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_3strftime, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_2strftime},
  {"strptime", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_5strptime, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_4strptime},
  {"__format__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_7__format__, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_6__format__},
  {"replace", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_9replace, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_8replace},
  {"timetuple", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_11timetuple, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_10timetuple},
  {"isoformat", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_19isoformat, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_18isoformat},
  {"to_tuple", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_23to_tuple, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_22to_tuple},
  {"__reduce__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_27__reduce__, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_26__reduce__},
  {"fromordinal", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_29fromordinal, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_28fromordinal},
  {"toordinal", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_31toordinal, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_30toordinal},
  {"change_calendar", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6cftime_7_cftime_8datetime_33change_calendar, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6cftime_7_cftime_8datetime_32change_calendar},
  {"__add__", (PyCFunction)__pyx_pw_6cftime_7_cftime_8datetime_35__add__, METH_O|METH_COEXIST, 0},
  {"__sub__", (PyCFunction)__pyx_pw_6cftime_7_cftime_8datetime_37__sub__, METH_O|METH_COEXIST, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6cftime_7_cftime_datetime[] = {
  {"format", __pyx_getprop_6cftime_7_cftime_8datetime_format, 0, 0, 0},
  {"dayofwk", __pyx_getprop_6cftime_7_cftime_8datetime_dayofwk, 0, 0, 0},
  {"dayofyr", __pyx_getprop_6cftime_7_cftime_8datetime_dayofyr, 0, 0, 0},
  {"daysinmonth", __pyx_getprop_6cftime_7_cftime_8datetime_daysinmonth, 0, 0, 0},
  {"year", __pyx_getprop_6cftime_7_cftime_8datetime_year, 0, 0, 0},
  {"month", __pyx_getprop_6cftime_7_cftime_8datetime_month, 0, 0, 0},
  {"day", __pyx_getprop_6cftime_7_cftime_8datetime_day, 0, 0, 0},
  {"hour", __pyx_getprop_6cftime_7_cftime_8datetime_hour, 0, 0, 0},
  {"minute", __pyx_getprop_6cftime_7_cftime_8datetime_minute, 0, 0, 0},
  {"second", __pyx_getprop_6cftime_7_cftime_8datetime_second, 0, 0, 0},
  {"microsecond", __pyx_getprop_6cftime_7_cftime_8datetime_microsecond, 0, 0, 0},
  {"calendar", __pyx_getprop_6cftime_7_cftime_8datetime_calendar, 0, 0, 0},
  {"_dayofwk", __pyx_getprop_6cftime_7_cftime_8datetime__dayofwk, 0, 0, 0},
  {"_dayofyr", __pyx_getprop_6cftime_7_cftime_8datetime__dayofyr, 0, 0, 0},
  {"has_year_zero", __pyx_getprop_6cftime_7_cftime_8datetime_has_year_zero, 0, 0, 0},
  {"tzinfo", __pyx_getprop_6cftime_7_cftime_8datetime_tzinfo, 0, 0, 0},
  {"datetime_compatible", __pyx_getprop_6cftime_7_cftime_8datetime_datetime_compatible, 0, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime_datetime_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime_datetime},
  {Py_tp_repr, (void *)__pyx_pw_6cftime_7_cftime_8datetime_15__repr__},
  {Py_nb_add, (void *)__pyx_nb_add_6cftime_7_cftime_datetime},
  {Py_nb_subtract, (void *)__pyx_nb_subtract_6cftime_7_cftime_datetime},
  {Py_tp_hash, (void *)__pyx_pw_6cftime_7_cftime_8datetime_21__hash__},
  {Py_tp_str, (void *)__pyx_pw_6cftime_7_cftime_8datetime_17__str__},
  {Py_tp_doc, (void *)PyDoc_STR("datetime(int year, int month, int day, int hour=0, int minute=0, int second=0, int microsecond=0, int dayofwk=-1, int dayofyr=-1, calendar='standard', has_year_zero=None)\n\nThis class mimics datetime.datetime but support calendars other than the proleptic\nGregorian calendar.\n\nSupports timedelta operations by overloading +/-, and\ncomparisons with other instances (even if they use different calendars).\nWhen comparing instances with different calendars, the second instance in the comparison (RHS) is\nconverted to the calendar of the LHS instance.  When comparing a list or array of instances (all using\nthe same calendar) to a single scalar instance,\nit is much faster to convert the single instance to the calendar of the array before doing\nthe comparison.\n\nComparison with native python datetime instances is possible\nfor cftime.datetime instances using\n'gregorian' and 'proleptic_gregorian' calendars.\n\nAll the calendars currently defined in the\n`CF metadata convention <http://cfconventions.org/cf-conventions/cf-conventions#calendar>`__ are supported.\nValid calendars are 'standard', 'gregorian', 'proleptic_gregorian'\n'noleap', '365_day', '360_day', 'julian', 'all_leap', '366_day'.\nDefault is 'standard', which is a mixed Julian/Gregorian calendar.\n'standard' and 'gregorian' are synonyms, as are 'all_leap'/'366_day'\nand 'noleap'/'365_day'.\n\nIf the calendar kwarg is set to a blank string ('') or None (the default is 'standard') the \ninstance will not be calendar-aware and some methods will not work.\n\nIf the has_year_zero kwarg is set to True, astronomical year numbering\nis used and the year zero exists.  If set to False for real-world\ncalendars, then historical year numbering is used and the year 1 is\npreceded by year -1 and no year zero exists.\nThe defaults are set to conform with\nCF version 1.9 conventions (False for 'julian', 'gregorian'/'standard', True\nfor 'proleptic_gregorian' (ISO 8601) and True for the idealized\ncalendars 'noleap'/'365_""day', '360_day', 366_day'/'all_leap')\nThe defaults can only be over-ridden for the real-world calendars,\nfor the the idealized calendars the year zero \nalways exists and the has_year_zero kwarg is ignored.\nThis kwarg is not needed to define calendar systems allowed by CF\n(the calendar-specific defaults do this).\n\nHas isoformat, strftime, timetuple, replace, dayofwk, dayofyr, daysinmonth,\n__repr__,__format__, __add__, __sub__, __str__ and comparison methods. \n\ndayofwk, dayofyr, daysinmonth, __add__ and __sub__ only work for calendar-aware\ninstances.\n\nThe default format of the string produced by strftime is controlled by self.format\n(default %Y-%m-%d %H:%M:%S).\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime_datetime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime_datetime},
  {Py_tp_richcompare, (void *)__pyx_pw_6cftime_7_cftime_8datetime_25__richcmp__},
  {Py_tp_methods, (void *)__pyx_methods_6cftime_7_cftime_datetime},
  {Py_tp_getset, (void *)__pyx_getsets_6cftime_7_cftime_datetime},
  {Py_tp_init, (void *)__pyx_pw_6cftime_7_cftime_8datetime_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime_datetime},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime_datetime_spec = {
  "cftime._cftime.datetime",
  sizeof(struct __pyx_obj_6cftime_7_cftime_datetime),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6cftime_7_cftime_datetime_slots,
};
#else

static PyNumberMethods __pyx_tp_as_number_datetime = {
  __pyx_nb_add_6cftime_7_cftime_datetime, /*nb_add*/
  __pyx_nb_subtract_6cftime_7_cftime_datetime, /*nb_subtract*/
  0, /*nb_multiply*/
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_bool*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  0, /*nb_int*/
  0, /*nb_long (reserved)*/
  0, /*nb_float*/
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  0, /*nb_index*/
  0, /*nb_matrix_multiply*/
  0, /*nb_inplace_matrix_multiply*/
};

static PyTypeObject __pyx_type_6cftime_7_cftime_datetime = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""datetime", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime_datetime), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime_datetime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  __pyx_pw_6cftime_7_cftime_8datetime_15__repr__, /*tp_repr*/
  &__pyx_tp_as_number_datetime, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  __pyx_pw_6cftime_7_cftime_8datetime_21__hash__, /*tp_hash*/
  0, /*tp_call*/
  __pyx_pw_6cftime_7_cftime_8datetime_17__str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("datetime(int year, int month, int day, int hour=0, int minute=0, int second=0, int microsecond=0, int dayofwk=-1, int dayofyr=-1, calendar='standard', has_year_zero=None)\n\nThis class mimics datetime.datetime but support calendars other than the proleptic\nGregorian calendar.\n\nSupports timedelta operations by overloading +/-, and\ncomparisons with other instances (even if they use different calendars).\nWhen comparing instances with different calendars, the second instance in the comparison (RHS) is\nconverted to the calendar of the LHS instance.  When comparing a list or array of instances (all using\nthe same calendar) to a single scalar instance,\nit is much faster to convert the single instance to the calendar of the array before doing\nthe comparison.\n\nComparison with native python datetime instances is possible\nfor cftime.datetime instances using\n'gregorian' and 'proleptic_gregorian' calendars.\n\nAll the calendars currently defined in the\n`CF metadata convention <http://cfconventions.org/cf-conventions/cf-conventions#calendar>`__ are supported.\nValid calendars are 'standard', 'gregorian', 'proleptic_gregorian'\n'noleap', '365_day', '360_day', 'julian', 'all_leap', '366_day'.\nDefault is 'standard', which is a mixed Julian/Gregorian calendar.\n'standard' and 'gregorian' are synonyms, as are 'all_leap'/'366_day'\nand 'noleap'/'365_day'.\n\nIf the calendar kwarg is set to a blank string ('') or None (the default is 'standard') the \ninstance will not be calendar-aware and some methods will not work.\n\nIf the has_year_zero kwarg is set to True, astronomical year numbering\nis used and the year zero exists.  If set to False for real-world\ncalendars, then historical year numbering is used and the year 1 is\npreceded by year -1 and no year zero exists.\nThe defaults are set to conform with\nCF version 1.9 conventions (False for 'julian', 'gregorian'/'standard', True\nfor 'proleptic_gregorian' (ISO 8601) and True for the idealized\ncalendars 'noleap'/'365_""day', '360_day', 366_day'/'all_leap')\nThe defaults can only be over-ridden for the real-world calendars,\nfor the the idealized calendars the year zero \nalways exists and the has_year_zero kwarg is ignored.\nThis kwarg is not needed to define calendar systems allowed by CF\n(the calendar-specific defaults do this).\n\nHas isoformat, strftime, timetuple, replace, dayofwk, dayofyr, daysinmonth,\n__repr__,__format__, __add__, __sub__, __str__ and comparison methods. \n\ndayofwk, dayofyr, daysinmonth, __add__ and __sub__ only work for calendar-aware\ninstances.\n\nThe default format of the string produced by strftime is controlled by self.format\n(default %Y-%m-%d %H:%M:%S).\n    "), /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime_datetime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime_datetime, /*tp_clear*/
  __pyx_pw_6cftime_7_cftime_8datetime_25__richcmp__, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6cftime_7_cftime_datetime, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6cftime_7_cftime_datetime, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6cftime_7_cftime_8datetime_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime_datetime, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeNoLeap __pyx_vtable_6cftime_7_cftime_DatetimeNoLeap;

static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeNoLeap(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6cftime_7_cftime_DatetimeNoLeap *p;
  PyObject *o = __pyx_tp_new_6cftime_7_cftime_datetime(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6cftime_7_cftime_DatetimeNoLeap *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6cftime_7_cftime_datetime*)__pyx_vtabptr_6cftime_7_cftime_DatetimeNoLeap;
  return o;
}

static PyMethodDef __pyx_methods_6cftime_7_cftime_DatetimeNoLeap[] = {
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime_DatetimeNoLeap_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime_datetime},
  {Py_tp_doc, (void *)PyDoc_STR("DatetimeNoLeap(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"noleap\" (\"365_day\") calendar.\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime_datetime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime_datetime},
  {Py_tp_methods, (void *)__pyx_methods_6cftime_7_cftime_DatetimeNoLeap},
  {Py_tp_init, (void *)__pyx_pw_6cftime_7_cftime_14DatetimeNoLeap_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime_DatetimeNoLeap},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime_DatetimeNoLeap_spec = {
  "cftime._cftime.DatetimeNoLeap",
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeNoLeap),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6cftime_7_cftime_DatetimeNoLeap_slots,
};
#else

static PyTypeObject __pyx_type_6cftime_7_cftime_DatetimeNoLeap = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""DatetimeNoLeap", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeNoLeap), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime_datetime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_15__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_17__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("DatetimeNoLeap(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"noleap\" (\"365_day\") calendar.\n    "), /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime_datetime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime_datetime, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6cftime_7_cftime_DatetimeNoLeap, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6cftime_7_cftime_14DatetimeNoLeap_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime_DatetimeNoLeap, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeAllLeap __pyx_vtable_6cftime_7_cftime_DatetimeAllLeap;

static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeAllLeap(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6cftime_7_cftime_DatetimeAllLeap *p;
  PyObject *o = __pyx_tp_new_6cftime_7_cftime_datetime(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6cftime_7_cftime_DatetimeAllLeap *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6cftime_7_cftime_datetime*)__pyx_vtabptr_6cftime_7_cftime_DatetimeAllLeap;
  return o;
}

static PyMethodDef __pyx_methods_6cftime_7_cftime_DatetimeAllLeap[] = {
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime_DatetimeAllLeap_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime_datetime},
  {Py_tp_doc, (void *)PyDoc_STR("DatetimeAllLeap(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"all_leap\" (\"366_day\") calendar.\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime_datetime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime_datetime},
  {Py_tp_methods, (void *)__pyx_methods_6cftime_7_cftime_DatetimeAllLeap},
  {Py_tp_init, (void *)__pyx_pw_6cftime_7_cftime_15DatetimeAllLeap_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime_DatetimeAllLeap},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime_DatetimeAllLeap_spec = {
  "cftime._cftime.DatetimeAllLeap",
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeAllLeap),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6cftime_7_cftime_DatetimeAllLeap_slots,
};
#else

static PyTypeObject __pyx_type_6cftime_7_cftime_DatetimeAllLeap = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""DatetimeAllLeap", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeAllLeap), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime_datetime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_15__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_17__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("DatetimeAllLeap(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"all_leap\" (\"366_day\") calendar.\n    "), /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime_datetime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime_datetime, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6cftime_7_cftime_DatetimeAllLeap, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6cftime_7_cftime_15DatetimeAllLeap_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime_DatetimeAllLeap, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_6cftime_7_cftime_Datetime360Day __pyx_vtable_6cftime_7_cftime_Datetime360Day;

static PyObject *__pyx_tp_new_6cftime_7_cftime_Datetime360Day(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6cftime_7_cftime_Datetime360Day *p;
  PyObject *o = __pyx_tp_new_6cftime_7_cftime_datetime(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6cftime_7_cftime_Datetime360Day *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6cftime_7_cftime_datetime*)__pyx_vtabptr_6cftime_7_cftime_Datetime360Day;
  return o;
}

static PyMethodDef __pyx_methods_6cftime_7_cftime_Datetime360Day[] = {
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime_Datetime360Day_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime_datetime},
  {Py_tp_doc, (void *)PyDoc_STR("Datetime360Day(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"360_day\" calendar.\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime_datetime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime_datetime},
  {Py_tp_methods, (void *)__pyx_methods_6cftime_7_cftime_Datetime360Day},
  {Py_tp_init, (void *)__pyx_pw_6cftime_7_cftime_14Datetime360Day_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime_Datetime360Day},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime_Datetime360Day_spec = {
  "cftime._cftime.Datetime360Day",
  sizeof(struct __pyx_obj_6cftime_7_cftime_Datetime360Day),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6cftime_7_cftime_Datetime360Day_slots,
};
#else

static PyTypeObject __pyx_type_6cftime_7_cftime_Datetime360Day = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""Datetime360Day", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime_Datetime360Day), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime_datetime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_15__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_17__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("Datetime360Day(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"360_day\" calendar.\n    "), /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime_datetime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime_datetime, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6cftime_7_cftime_Datetime360Day, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6cftime_7_cftime_14Datetime360Day_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime_Datetime360Day, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeJulian __pyx_vtable_6cftime_7_cftime_DatetimeJulian;

static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeJulian(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6cftime_7_cftime_DatetimeJulian *p;
  PyObject *o = __pyx_tp_new_6cftime_7_cftime_datetime(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6cftime_7_cftime_DatetimeJulian *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6cftime_7_cftime_datetime*)__pyx_vtabptr_6cftime_7_cftime_DatetimeJulian;
  return o;
}

static PyMethodDef __pyx_methods_6cftime_7_cftime_DatetimeJulian[] = {
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime_DatetimeJulian_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime_datetime},
  {Py_tp_doc, (void *)PyDoc_STR("DatetimeJulian(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"julian\" calendar.\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime_datetime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime_datetime},
  {Py_tp_methods, (void *)__pyx_methods_6cftime_7_cftime_DatetimeJulian},
  {Py_tp_init, (void *)__pyx_pw_6cftime_7_cftime_14DatetimeJulian_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime_DatetimeJulian},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime_DatetimeJulian_spec = {
  "cftime._cftime.DatetimeJulian",
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeJulian),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6cftime_7_cftime_DatetimeJulian_slots,
};
#else

static PyTypeObject __pyx_type_6cftime_7_cftime_DatetimeJulian = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""DatetimeJulian", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeJulian), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime_datetime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_15__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_17__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("DatetimeJulian(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the \"julian\" calendar.\n    "), /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime_datetime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime_datetime, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6cftime_7_cftime_DatetimeJulian, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6cftime_7_cftime_14DatetimeJulian_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime_DatetimeJulian, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeGregorian __pyx_vtable_6cftime_7_cftime_DatetimeGregorian;

static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeGregorian(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6cftime_7_cftime_DatetimeGregorian *p;
  PyObject *o = __pyx_tp_new_6cftime_7_cftime_datetime(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6cftime_7_cftime_DatetimeGregorian *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6cftime_7_cftime_datetime*)__pyx_vtabptr_6cftime_7_cftime_DatetimeGregorian;
  return o;
}

static PyMethodDef __pyx_methods_6cftime_7_cftime_DatetimeGregorian[] = {
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime_DatetimeGregorian_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime_datetime},
  {Py_tp_doc, (void *)PyDoc_STR("DatetimeGregorian(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the mixed Julian-Gregorian (\"standard\") calendar.\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime_datetime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime_datetime},
  {Py_tp_methods, (void *)__pyx_methods_6cftime_7_cftime_DatetimeGregorian},
  {Py_tp_init, (void *)__pyx_pw_6cftime_7_cftime_17DatetimeGregorian_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime_DatetimeGregorian},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime_DatetimeGregorian_spec = {
  "cftime._cftime.DatetimeGregorian",
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeGregorian),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6cftime_7_cftime_DatetimeGregorian_slots,
};
#else

static PyTypeObject __pyx_type_6cftime_7_cftime_DatetimeGregorian = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""DatetimeGregorian", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeGregorian), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime_datetime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_15__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_17__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("DatetimeGregorian(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut uses the mixed Julian-Gregorian (\"standard\") calendar.\n    "), /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime_datetime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime_datetime, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6cftime_7_cftime_DatetimeGregorian, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6cftime_7_cftime_17DatetimeGregorian_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime_DatetimeGregorian, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_6cftime_7_cftime_DatetimeProlepticGregorian __pyx_vtable_6cftime_7_cftime_DatetimeProlepticGregorian;

static PyObject *__pyx_tp_new_6cftime_7_cftime_DatetimeProlepticGregorian(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6cftime_7_cftime_DatetimeProlepticGregorian *p;
  PyObject *o = __pyx_tp_new_6cftime_7_cftime_datetime(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6cftime_7_cftime_DatetimeProlepticGregorian *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6cftime_7_cftime_datetime*)__pyx_vtabptr_6cftime_7_cftime_DatetimeProlepticGregorian;
  return o;
}

static PyMethodDef __pyx_methods_6cftime_7_cftime_DatetimeProlepticGregorian[] = {
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime_DatetimeProlepticGregorian_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime_datetime},
  {Py_tp_doc, (void *)PyDoc_STR("DatetimeProlepticGregorian(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut allows for dates that don't exist in the proleptic gregorian calendar.\n    ")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime_datetime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime_datetime},
  {Py_tp_methods, (void *)__pyx_methods_6cftime_7_cftime_DatetimeProlepticGregorian},
  {Py_tp_init, (void *)__pyx_pw_6cftime_7_cftime_26DatetimeProlepticGregorian_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime_DatetimeProlepticGregorian},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime_DatetimeProlepticGregorian_spec = {
  "cftime._cftime.DatetimeProlepticGregorian",
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeProlepticGregorian),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6cftime_7_cftime_DatetimeProlepticGregorian_slots,
};
#else

static PyTypeObject __pyx_type_6cftime_7_cftime_DatetimeProlepticGregorian = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""DatetimeProlepticGregorian", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime_DatetimeProlepticGregorian), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime_datetime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_15__repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_pw_6cftime_7_cftime_8datetime_17__str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("DatetimeProlepticGregorian(*args, **kwargs)\n\nPhony datetime object which mimics the python datetime object,\nbut allows for dates that don't exist in the proleptic gregorian calendar.\n    "), /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime_datetime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime_datetime, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6cftime_7_cftime_DatetimeProlepticGregorian, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6cftime_7_cftime_26DatetimeProlepticGregorian_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime_DatetimeProlepticGregorian, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_6cftime_7_cftime___pyx_scope_struct__strptime(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_6cftime_7_cftime___pyx_scope_struct__strptime > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime)))) {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_6cftime_7_cftime___pyx_scope_struct__strptime[--__pyx_mstate_global->__pyx_freecount_6cftime_7_cftime___pyx_scope_struct__strptime];
    memset(o, 0, sizeof(struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_6cftime_7_cftime___pyx_scope_struct__strptime(PyObject *o) {
  struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *p = (struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6cftime_7_cftime___pyx_scope_struct__strptime) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_special_fd);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_mstate_global->__pyx_freecount_6cftime_7_cftime___pyx_scope_struct__strptime < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime)))) {
    __pyx_mstate_global->__pyx_freelist_6cftime_7_cftime___pyx_scope_struct__strptime[__pyx_mstate_global->__pyx_freecount_6cftime_7_cftime___pyx_scope_struct__strptime++] = ((struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_6cftime_7_cftime___pyx_scope_struct__strptime(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *p = (struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->__pyx_v_special_fd) {
    e = (*v)(p->__pyx_v_special_fd, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6cftime_7_cftime___pyx_scope_struct__strptime(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *p = (struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime *)o;
  tmp = ((PyObject*)p->__pyx_v_special_fd);
  p->__pyx_v_special_fd = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6cftime_7_cftime___pyx_scope_struct__strptime_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6cftime_7_cftime___pyx_scope_struct__strptime},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6cftime_7_cftime___pyx_scope_struct__strptime},
  {Py_tp_clear, (void *)__pyx_tp_clear_6cftime_7_cftime___pyx_scope_struct__strptime},
  {Py_tp_new, (void *)__pyx_tp_new_6cftime_7_cftime___pyx_scope_struct__strptime},
  {0, 0},
};
static PyType_Spec __pyx_type_6cftime_7_cftime___pyx_scope_struct__strptime_spec = {
  "cftime._cftime.__pyx_scope_struct__strptime",
  sizeof(struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_6cftime_7_cftime___pyx_scope_struct__strptime_slots,
};
#else

static PyTypeObject __pyx_type_6cftime_7_cftime___pyx_scope_struct__strptime = {
  PyVarObject_HEAD_INIT(0, 0)
  "cftime._cftime.""__pyx_scope_struct__strptime", /*tp_name*/
  sizeof(struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct__strptime), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6cftime_7_cftime___pyx_scope_struct__strptime, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_6cftime_7_cftime___pyx_scope_struct__strptime, /*tp_traverse*/
  __pyx_tp_clear_6cftime_7_cftime___pyx_scope_struct__strptime, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6cftime_7_cftime___pyx_scope_struct__strptime, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_6cftime_7_cftime___pyx_scope_struct_1_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_mstate_global->__pyx_freecount_6cftime_7_cftime___pyx_scope_struct_1_genexpr > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct_1_genexpr)))) {
    o = (PyObject*)__pyx_mstate_global->__pyx_freelist_6cftime_7_cftime___pyx_scope_struct_1_genexpr[--__pyx_mstate_global->__pyx_freecount_6cftime_7_cftime___pyx_scope_struct_1_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_6cftime_7_cftime___pyx_scope_struct_1_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
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    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_src_cftime__cftime_pyx, __pyx_mstate->__pyx_n_u_parse_date, __pyx_k_t_Ql_t4z_a_j_1_1_V1JfA_t1_j_A_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1029, 36};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_dt};
    __pyx_mstate_global->__pyx_codeobj_tab[20] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_src_cftime__cftime_pyx, __pyx_mstate->__pyx_n_u_to_tuple, __pyx_k_BgRxr_r_ir, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[20])) goto bad;
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    __pyx_mstate_global->__pyx_codeobj_tab[21] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_src_cftime__cftime_pyx, __pyx_mstate->__pyx_n_u_create_datetime, __pyx_k_wir, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[21])) goto bad;
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    __pyx_mstate_global->__pyx_codeobj_tab[22] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_src_cftime__cftime_pyx, __pyx_mstate->__pyx_n_u_strftime, __pyx_k_a_7_Q_T_y_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[22])) goto bad;
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    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 19, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1255, 331};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_datestring, __pyx_mstate->__pyx_n_u_format, __pyx_mstate->__pyx_n_u_calendar, __pyx_mstate->__pyx_n_u_has_year_zero, __pyx_mstate->__pyx_n_u_fd, __pyx_mstate->__pyx_n_u_special_fd, __pyx_mstate->__pyx_n_u_pydatetime, __pyx_mstate->__pyx_n_u_compatible_date, __pyx_mstate->__pyx_n_u_msg, __pyx_mstate->__pyx_n_u_year, __pyx_mstate->__pyx_n_u_month, __pyx_mstate->__pyx_n_u_day, __pyx_mstate->__pyx_n_u_hour, __pyx_mstate->__pyx_n_u_minute, __pyx_mstate->__pyx_n_u_second, __pyx_mstate->__pyx_n_u_microsecond, __pyx_mstate->__pyx_n_u_d, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_n_u_genexpr};
    __pyx_mstate_global->__pyx_codeobj_tab[23] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_src_cftime__cftime_pyx, __pyx_mstate->__pyx_n_u_strptime, __pyx_k_A_H_Qaq_4uF_c_Qe5_U_uE_a_a_wa_9F, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[23])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1297, 29};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_format};
    __pyx_mstate_global->__pyx_codeobj_tab[24] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_src_cftime__cftime_pyx, __pyx_mstate->__pyx_n_u_format_2, __pyx_k_A_7_Q_Q_t9AQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[24])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_VARKEYWORDS), 1305, 189};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_kwargs, __pyx_mstate->__pyx_n_u_args, __pyx_mstate->__pyx_n_u_name_2, __pyx_mstate->__pyx_n_u_value};
    __pyx_mstate_global->__pyx_codeobj_tab[25] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_src_cftime__cftime_pyx, __pyx_mstate->__pyx_n_u_replace, __pyx_k_A_A_Q_t1_A_a_a_t1_Q_D_S_s_Cq_AQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[25])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1336, 48};
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1347, 39};
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    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1369, 371};
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1457, 34};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_args, __pyx_mstate->__pyx_n_u_kwargs, __pyx_mstate->__pyx_n_u_date_type};
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1466, 138};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_jday, __pyx_mstate->__pyx_n_u_calendar, __pyx_mstate->__pyx_n_u_has_year_zero, __pyx_mstate->__pyx_n_u_units_2, __pyx_mstate->__pyx_n_u_jd};
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    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1496, 148};
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end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif

/* PyErrExceptionMatches */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *current_exception = tstate->current_exception;
    if (unlikely(!current_exception)) return 0;
    exc_type = (PyObject*) Py_TYPE(current_exception);
    if (exc_type == err) return 1;
#else
    exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
#endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(exc_type);
    #endif
    if (unlikely(PyTuple_Check(err))) {
        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    } else {
        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
    }
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(exc_type);
    #endif
    return result;
}
#endif

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject* exc_value;
    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
    *type = NULL;
    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#endif
}
#endif

/* PyObjectGetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
    return result;
#else
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
#endif
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
            "name '%U' is not defined", name);
    }
    return result;
}

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    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

/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C0000
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#elif __PYX_LIMITED_VERSION_HEX > 0x030C0000
    local_value = PyErr_GetRaisedException();
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
#if __PYX_LIMITED_VERSION_HEX > 0x030C0000
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
#else
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
#endif // __PYX_LIMITED_VERSION_HEX > 0x030C0000
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    PyErr_SetHandledException(local_value);
    Py_XDECREF(local_value);
    Py_XDECREF(local_type);
    Py_XDECREF(local_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
#if __PYX_LIMITED_VERSION_HEX <= 0x030C0000
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
#endif
}

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject *const *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 *const *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;
    PyObject *kwdefs;
    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(" while calling a Python object"))) {
        return NULL;
    }
    if (
            co->co_kwonlyargcount == 0 &&
            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);
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
    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(" 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 = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall(" 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 */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    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]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) != (0)) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
#if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API
  #if PY_VERSION_HEX < 0x03090000
    #define __Pyx_PyVectorcall_Function(callable) _PyVectorcall_Function(callable)
  #elif CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {
    PyTypeObject *tp = Py_TYPE(callable);
    #if defined(__Pyx_CyFunction_USED)
    if (__Pyx_CyFunction_CheckExact(callable)) {
        return __Pyx_CyFunction_func_vectorcall(callable);
    }
    #endif
    if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) {
        return NULL;
    }
    assert(PyCallable_Check(callable));
    Py_ssize_t offset = tp->tp_vectorcall_offset;
    assert(offset > 0);
    vectorcallfunc ptr;
    memcpy(&ptr, (char *) callable + offset, sizeof(ptr));
    return ptr;
}
  #else
    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)
  #endif
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *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 (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_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 (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API
        vectorcallfunc f = __Pyx_PyVectorcall_Function(func);
        if (f) {
            return f(func, args, _nargs, NULL);
        }
        #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, _nargs, NULL);
        }
        #elif CYTHON_COMPILING_IN_LIMITED_API && CYTHON_VECTORCALL
        return PyObject_Vectorcall(func, args, _nargs, NULL);
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #endif
}

/* RaiseException */
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;
}

/* TupleAndListFromArray */
#if !CYTHON_COMPILING_IN_CPYTHON && CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    Py_ssize_t i;
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    for (i = 0; i < n; i++) {
        if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
        Py_INCREF(src[i]);
    }
    return res;
}
#elif 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) {
        return __Pyx_NewRef(__pyx_mstate_global->__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 || CYTHON_COMPILING_IN_GRAAL ||\
        !(CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS)
    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 || CYTHON_COMPILING_IN_GRAAL
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    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 (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length, length2;
        int kind;
        void *data1, *data2;
        #if !CYTHON_COMPILING_IN_LIMITED_API
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        #endif
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length < 0)) return -1;
        #endif
        length2 = __Pyx_PyUnicode_GET_LENGTH(s2);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length2 < 0)) return -1;
        #endif
        if (length != length2) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
            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));
            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_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    return (equals == Py_EQ);
return_ne:
    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 = __Pyx_PyTuple_GET_SIZE(kwnames);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(n == -1)) return NULL;
    #endif
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        if (s == namei) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        int eq = __Pyx_PyUnicode_Equals(s, namei, Py_EQ);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;
            return kwvalues[i];
        }
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs;
    PyObject *dict;
#if !CYTHON_ASSUME_SAFE_SIZE
    nkwargs = PyTuple_Size(kwnames);
    if (unlikely(nkwargs < 0)) return NULL;
#else
    nkwargs = PyTuple_GET_SIZE(kwnames);
#endif
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
#if !CYTHON_ASSUME_SAFE_MACROS
        PyObject *key = PyTuple_GetItem(kwnames, i);
        if (!key) goto bad;
#else
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
#endif
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
}

/* UnpackUnboundCMethod */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {
    PyObject *result;
    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));
    if (unlikely(!selfless_args)) return NULL;
    result = PyObject_Call(method, selfless_args, kwargs);
    Py_DECREF(selfless_args);
    return result;
}
#elif CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject **args, Py_ssize_t nargs, PyObject *kwnames) {
        return _PyObject_Vectorcall
            (method, args ? args+1 : NULL, nargs ? nargs-1 : 0, kwnames);
}
#else
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {
    return
#if PY_VERSION_HEX < 0x03090000
    _PyObject_Vectorcall
#else
    PyObject_Vectorcall
#endif
        (method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames);
}
#endif
static PyMethodDef __Pyx_UnboundCMethod_Def = {
     "CythonUnboundCMethod",
     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
     METH_VARARGS | METH_KEYWORDS,
#else
     METH_FASTCALL | METH_KEYWORDS,
#endif
     NULL
};
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method, *result=NULL;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    result = method;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    } else
#endif
#if CYTHON_COMPILING_IN_PYPY
#else
    if (PyCFunction_Check(method))
#endif
    {
        PyObject *self;
        int self_found;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        self = PyObject_GetAttrString(method, "__self__");
        if (!self) {
            PyErr_Clear();
        }
#else
        self = PyCFunction_GET_SELF(method);
#endif
        self_found = (self && self != Py_None);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        Py_XDECREF(self);
#endif
        if (self_found) {
            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);
            if (unlikely(!unbound_method)) return -1;
            Py_DECREF(method);
            result = unbound_method;
        }
    }
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    if (unlikely(target->method)) {
        Py_DECREF(result);
    } else
#endif
    target->method = result;
    return 0;
}

/* CallUnboundCMethod2 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            return __Pyx_CallCFunctionFast(cfunc, self, args, 2);
        }
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        PyObject *result = NULL;
        PyObject *args = PyTuple_New(2);
        if (unlikely(!args)) return NULL;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);
        else
            result = __Pyx_CallCFunction(cfunc, self, args);
        Py_DECREF(args);
        return result;
    }
#endif
    {
        PyObject *args[4] = {NULL, self, arg1, arg2};
        return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
    }
}

/* ParseKeywords */
static int __Pyx_ValidateDuplicatePosArgs(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char* function_name)
{
    PyObject ** const *name = argnames;
    while (name != first_kw_arg) {
        PyObject *key = **name;
        int found = PyDict_Contains(kwds, key);
        if (unlikely(found)) {
            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);
            goto bad;
        }
        name++;
    }
    return 0;
bad:
    return -1;
}
#if CYTHON_USE_UNICODE_INTERNALS
static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {
    int kind;
    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);
    if (len != PyUnicode_GET_LENGTH(s2)) return 0;
    kind = PyUnicode_KIND(s1);
    if (kind != PyUnicode_KIND(s2)) return 0;
    const void *data1 = PyUnicode_DATA(s1);
    const void *data2 = PyUnicode_DATA(s2);
    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);
}
#endif
static int __Pyx_MatchKeywordArg_str(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    #if CYTHON_USE_UNICODE_INTERNALS
    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;
    if (unlikely(key_hash == -1)) {
        key_hash = PyObject_Hash(key);
        if (unlikely(key_hash == -1))
            goto bad;
    }
    #endif
    name = first_kw_arg;
    while (*name) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) {
                *index_found = (size_t) (name - argnames);
                return 1;
            }
        }
        #endif
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {
            if (__Pyx_UnicodeKeywordsEqual(name_str, key))
                goto arg_passed_twice;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            if (unlikely(name_str == key)) goto arg_passed_twice;
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) goto arg_passed_twice;
        }
        #endif
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
bad:
    return -1;
}
static int __Pyx_MatchKeywordArg_nostr(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;
    name = first_kw_arg;
    while (*name) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (cmp == 1) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        if (unlikely(cmp == -1)) goto bad;
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (unlikely(cmp != 0)) {
            if (cmp == 1) goto arg_passed_twice;
            else goto bad;
        }
        name++;
    }
    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;
bad:
    return -1;
}
static CYTHON_INLINE int __Pyx_MatchKeywordArg(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    return likely(PyUnicode_CheckExact(key)) ?
        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :
        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);
}
static void __Pyx_RejectUnknownKeyword(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char *function_name)
{
    Py_ssize_t pos = 0;
    PyObject *key = NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(kwds);
    while (PyDict_Next(kwds, &pos, &key, NULL)) {
        PyObject** const *name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (!*name) {
            #if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(key);
            #endif
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp != 1) {
                if (cmp == 0) {
                    PyErr_Format(PyExc_TypeError,
                        "%s() got an unexpected keyword argument '%U'",
                        function_name, key);
                }
                #if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(key);
                #endif
                break;
            }
            #if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(key);
            #endif
        }
    }
    __Pyx_END_CRITICAL_SECTION();
    assert(PyErr_Occurred());
}
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t extracted = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    name = first_kw_arg;
    while (*name && num_kwargs > extracted) {
        PyObject * key = **name;
        PyObject *value;
        int found = 0;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        found = PyDict_GetItemRef(kwds, key, &value);
        #else
        value = PyDict_GetItemWithError(kwds, key);
        if (value) {
            Py_INCREF(value);
            found = 1;
        } else {
            if (unlikely(PyErr_Occurred())) goto bad;
        }
        #endif
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            extracted++;
        }
        name++;
    }
    if (num_kwargs > extracted) {
        if (ignore_unknown_kwargs) {
            if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1))
                goto bad;
        } else {
            __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name);
            goto bad;
        }
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t len;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    if (PyDict_Update(kwds2, kwds) < 0) goto bad;
    name = first_kw_arg;
    while (*name) {
        PyObject *key = **name;
        PyObject *value;
#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop))
        int found = PyDict_Pop(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
        }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        int found = PyDict_GetItemRef(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad;
        }
#else
    #if CYTHON_COMPILING_IN_CPYTHON
        value = _PyDict_Pop(kwds2, key, kwds2);
    #else
        value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2);
    #endif
        if (value == kwds2) {
            Py_DECREF(value);
        } else {
            if (unlikely(!value)) goto bad;
            values[name-argnames] = value;
        }
#endif
        name++;
    }
    len = PyDict_Size(kwds2);
    if (len > 0) {
        return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name);
    } else if (unlikely(len == -1)) {
        goto bad;
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject *key = NULL;
    PyObject** const * name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) {
#if CYTHON_AVOID_BORROWED_REFS
        key = __Pyx_PySequence_ITEM(kwds, pos);
#else
        key = __Pyx_PyTuple_GET_ITEM(kwds, pos);
#endif
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!key)) goto bad;
#endif
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            PyObject *value = kwvalues[pos];
            values[name-argnames] = __Pyx_NewRef(value);
        } else {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp == 1) {
                PyObject *value = kwvalues[pos];
                values[index_found] = __Pyx_NewRef(value);
            } else {
                if (unlikely(cmp == -1)) goto bad;
                if (kwds2) {
                    PyObject *value = kwvalues[pos];
                    if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                } else if (!ignore_unknown_kwargs) {
                    goto invalid_keyword;
                }
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        key = NULL;
        #endif
    }
    return 0;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    goto bad;
bad:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(key);
    #endif
    return -1;
}
static int __Pyx_ParseKeywords(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds)))
        return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
    else if (kwds2)
        return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name);
    else
        return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
}

/* 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);
}

/* PyObjectFastCallMethod */
#if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) {
    PyObject *result;
    PyObject *attr = PyObject_GetAttr(args[0], name);
    if (unlikely(!attr))
        return NULL;
    result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1);
    Py_DECREF(attr);
    return result;
}
#endif

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_SubtractObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_SubtractObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    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 PyLong_FromLong(-intval);
    }
    if (unlikely(!__Pyx_PyLong_CompactAsLong(op1, &a))) {
        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_subtract(op1, op2);
        }
    }
            x = a - b;
        return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
    long_long:
            llx = lla - llb;
        return PyLong_FromLongLong(llx);
#endif
    return __Pyx_Fallback___Pyx_PyLong_SubtractObjC(op1, op2, inplace);
    
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_SubtractObjC(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) - (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_SubtractObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_Float___Pyx_PyLong_SubtractObjC(op1, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_SubtractObjC(op1, op2, inplace);
}
#endif

/* 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");
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    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();
}

/* 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

/* 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_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    PyErr_Clear();
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) PyErr_Clear();
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyLongCompare */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 1;
    }
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) == 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 0;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 0;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal == 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = __Pyx_PyFloat_AS_DOUBLE(op1);
        return ((double)a == (double)b);
    }
    return __Pyx_PyObject_IsTrueAndDecref(
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* PyObjectVectorCallKwBuilder */
#if CYTHON_VECTORCALL
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_PyObject_FastCallDict;
    if (__Pyx_PyTuple_SET_ITEM(builder, n, key) != (0)) return -1;
    Py_INCREF(key);
    args[n] = value;
    return 0;
}
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_VectorcallBuilder_AddArgStr;
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n);
}
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    PyObject *pyKey = PyUnicode_FromString(key);
    if (!pyKey) return -1;
    return __Pyx_VectorcallBuilder_AddArg(pyKey, value, builder, args, n);
}
#else // CYTHON_VECTORCALL
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, CYTHON_UNUSED PyObject **args, CYTHON_UNUSED int n) {
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return PyDict_SetItem(builder, key, value);
}
#endif

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __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:
                case 2:
                    if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                        a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -2)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                case 3:
                    if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -3)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                case 4:
                    if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -4)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                default:
        #endif
                    a = PyLong_AsDouble(op1);
                    if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        #if CYTHON_USE_PYLONG_INTERNALS
            }
        }
        #endif
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        result = a / b;
        return PyFloat_FromDouble(result);
}
#endif

/* PyLongCompare */
static CYTHON_INLINE PyObject* __Pyx_PyLong_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            if (__Pyx_PyLong_IsZero(op1) == 1) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                Py_RETURN_FALSE;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = __Pyx_PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* 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_ASSUME_SAFE_SIZE && !CYTHON_AVOID_BORROWED_REFS && !CYTHON_AVOID_THREAD_UNSAFE_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, PyLong_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_ASSUME_SAFE_SIZE && !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, PyLong_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_ASSUME_SAFE_SIZE && !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))))) {
            return __Pyx_PyList_GetItemRef(o, n);
        }
    }
    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 = PyLong_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 || !PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyLong_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_GetFullyQualifiedName(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_mstate_global->__pyx_n_u_class_getitem);
        if (!meth) {
            PyErr_Clear();
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(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

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    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 (unlikely(!__Pyx_PyLong_CompactAsLong(op1, &a))) {
        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
    return __Pyx_Fallback___Pyx_PyLong_AddObjC(op1, op2, inplace);
    
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_AddObjC(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) + (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_AddObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_Float___Pyx_PyLong_AddObjC(op1, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_AddObjC(op1, op2, inplace);
}
#endif

/* RaiseUnboundLocalError */
static void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* 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);
}

/* 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))
#else
        #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
#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_GetFullyQualifiedName(tp);
    PyErr_Format(PyExc_AttributeError,
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
    __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;
}

/* PyObjectCallMethod1 */
#if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
#endif
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
    PyObject *args[2] = {obj, arg};
    (void) __Pyx_PyObject_GetMethod;
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_Call2Args;
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    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);
#endif
}

/* append */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_mstate_global->__pyx_n_u_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}

/* GetAttr3 */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
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;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    int res = PyObject_GetOptionalAttr(o, n, &r);
    return (res != 0) ? r : __Pyx_NewRef(d);
#else
  #if CYTHON_USE_TYPE_SLOTS
    if (likely(PyUnicode_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);
#endif
}

/* PyObjectVectorCallMethodKwBuilder */
#if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_Object_VectorcallMethod_CallFromBuilder(PyObject *name, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
    PyObject *result;
    PyObject *obj = PyObject_GetAttr(args[0], name);
    if (unlikely(!obj))
        return NULL;
    result = __Pyx_Object_Vectorcall_CallFromBuilder(obj, args+1, nargsf-1, kwnames);
    Py_DECREF(obj);
    return result;
}
#endif

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_MultiplyObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceMultiply : PyNumber_Multiply)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_MultiplyObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    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(op1);
    }
    if (unlikely(!__Pyx_PyLong_CompactAsLong(op1, &a))) {
        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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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+30) {
                    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_multiply(op1, op2);
        }
    }
            CYTHON_UNUSED_VAR(a);
            CYTHON_UNUSED_VAR(b);
            #ifdef HAVE_LONG_LONG
            lla = a;
            goto long_long;
            #else
            return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
            #endif
        return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
    long_long:
            llx = lla * llb;
        return PyLong_FromLongLong(llx);
#endif
    return __Pyx_Fallback___Pyx_PyLong_MultiplyObjC(op1, op2, inplace);
    
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_MultiplyObjC(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long b = intval;
    double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) * (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_MultiplyObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_Float___Pyx_PyLong_MultiplyObjC(op1, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_MultiplyObjC(op1, op2, inplace);
}
#endif

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_RemainderObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceRemainder : PyNumber_Remainder)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_RemainderObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    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(op1);
    }
    if (unlikely(!__Pyx_PyLong_CompactAsLong(op1, &a))) {
        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_remainder(op1, op2);
        }
    }
            x = a % b;
            x += ((x != 0) & ((x ^ b) < 0)) * b;
        return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
    long_long:
            llx = lla % llb;
            llx += ((llx != 0) & ((llx ^ llb) < 0)) * llb;
        return PyLong_FromLongLong(llx);
#endif
    return __Pyx_Fallback___Pyx_PyLong_RemainderObjC(op1, op2, inplace);
    
    
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyLong_RemainderObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_RemainderObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    return __Pyx_Fallback___Pyx_PyLong_RemainderObjC(op1, op2, inplace);
}
#endif

/* 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_ASSUME_SAFE_SIZE && !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)))) {
            Py_INCREF(v);
#if CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
            PyList_SetItem(o, n, v);
#else
            PyObject* old = PyList_GET_ITEM(o, n);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
#endif
            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 = PyLong_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 (is_list || !PyMapping_Check(o))
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyLong_FromSsize_t(i), v);
}

/* RaiseUnexpectedTypeError */
static int
__Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
{
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetFullyQualifiedName(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;
}

/* DictGetItem */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    if (unlikely(__Pyx_PyDict_GetItemRef(d, key, &value) == 0)) { // no value, no error
        if (unlikely(PyTuple_Check(key))) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args)) {
                PyErr_SetObject(PyExc_KeyError, args);
                Py_DECREF(args);
            }
        } else {
            PyErr_SetObject(PyExc_KeyError, key);
        }
    }
    return value;
}
#endif

/* pybytes_as_double */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj) {
    PyObject *float_value = PyFloat_FromString(obj);
    if (likely(float_value)) {
        double value = __Pyx_PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
    return (double)-1;
}
static const char* __Pyx__PyBytes_AsDouble_Copy(const char* start, char* buffer, Py_ssize_t length) {
    int last_was_punctuation = 1;
    int parse_error_found = 0;
    Py_ssize_t i;
    for (i=0; i < length; i++) {
        char chr = start[i];
        int is_punctuation = (chr == '_') | (chr == '.') | (chr == 'e') | (chr == 'E');
        *buffer = chr;
        buffer += (chr != '_');
        parse_error_found |= last_was_punctuation & is_punctuation;
        last_was_punctuation = is_punctuation;
    }
    parse_error_found |= last_was_punctuation;
    *buffer = '\0';
    return unlikely(parse_error_found) ? NULL : buffer;
}
static double __Pyx__PyBytes_AsDouble_inf_nan(const char* start, Py_ssize_t length) {
    int matches = 1;
    char sign = start[0];
    int is_signed = (sign == '+') | (sign == '-');
    start += is_signed;
    length -= is_signed;
    switch (start[0]) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            matches &= (start[1] == 'a' || start[1] == 'A');
            matches &= (start[2] == 'n' || start[2] == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            matches &= (start[1] == 'n' || start[1] == 'N');
            matches &= (start[2] == 'f' || start[2] == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            matches &= (start[3] == 'i' || start[3] == 'I');
            matches &= (start[4] == 'n' || start[4] == 'N');
            matches &= (start[5] == 'i' || start[5] == 'I');
            matches &= (start[6] == 't' || start[6] == 'T');
            matches &= (start[7] == 'y' || start[7] == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static CYTHON_INLINE int __Pyx__PyBytes_AsDouble_IsSpace(char ch) {
    return (ch == 0x20) | !((ch < 0x9) | (ch > 0xd));
}
CYTHON_UNUSED static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length) {
    double value;
    Py_ssize_t i, digits;
    const char *last = start + length;
    char *end;
    while (__Pyx__PyBytes_AsDouble_IsSpace(*start))
        start++;
    while (start < last - 1 && __Pyx__PyBytes_AsDouble_IsSpace(last[-1]))
        last--;
    length = last - start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyBytes_AsDouble_inf_nan(start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    digits = 0;
    for (i=0; i < length; digits += start[i++] != '_');
    if (likely(digits == length)) {
        value = PyOS_string_to_double(start, &end, NULL);
    } else if (digits < 40) {
        char number[40];
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((digits + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}

/* 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, CYTHON_UNUSED int wraparound) {
    __Pyx_TypeName obj_type_name;
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#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 = PyLong_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 = PyLong_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_GetFullyQualifiedName(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;
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *empty_list = 0;
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    if (level == -1) {
        const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');
        if (package_sep != (0)) {
            module = PyImport_ImportModuleLevelObject(
                name, __pyx_mstate_global->__pyx_d, empty_dict, from_list, 1);
            if (unlikely(!module)) {
                if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                    goto bad;
                PyErr_Clear();
            }
        }
        level = 0;
    }
    if (!module) {
        module = PyImport_ImportModuleLevelObject(
            name, __pyx_mstate_global->__pyx_d, empty_dict, from_list, level);
    }
bad:
    Py_XDECREF(empty_dict);
    Py_XDECREF(empty_list);
    return module;
}

/* ImportDottedModule */
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    Py_ssize_t size;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
#if CYTHON_ASSUME_SAFE_SIZE
    size = PyTuple_GET_SIZE(parts_tuple);
#else
    size = PyTuple_Size(parts_tuple);
    if (size < 0) goto bad;
#endif
    if (likely(size == 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(
        PyExc_ModuleNotFoundError,
        "No module named '%U'", partial_name);
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400) ||\
        CYTHON_COMPILING_IN_GRAAL
    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;
}
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
#if CYTHON_ASSUME_SAFE_SIZE
    nparts = PyTuple_GET_SIZE(parts_tuple);
#else
    nparts = PyTuple_Size(parts_tuple);
    if (nparts < 0) return NULL;
#endif
    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 = __Pyx_PySequence_ITEM(parts_tuple, i);
        if (!part) return NULL;
#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;
}
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
    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);
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_mstate_global->__pyx_n_u_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_mstate_global->__pyx_n_u_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);
}

/* pyobject_as_double */
static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    if (PyUnicode_CheckExact(obj)) {
        return __Pyx_PyUnicode_AsDouble(obj);
    } else if (PyBytes_CheckExact(obj)) {
        return __Pyx_PyBytes_AsDouble(obj);
    } else if (PyByteArray_CheckExact(obj)) {
        return __Pyx_PyByteArray_AsDouble(obj);
    } else {
        PyObject* float_value;
#if !CYTHON_USE_TYPE_SLOTS
        float_value = PyNumber_Float(obj);  if ((0)) goto bad;
        (void)__Pyx_PyObject_CallOneArg;
#else
        PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
        if (likely(nb) && likely(nb->nb_float)) {
            float_value = nb->nb_float(obj);
            if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
                __Pyx_TypeName float_value_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(float_value));
                PyErr_Format(PyExc_TypeError,
                    "__float__ returned non-float (type " __Pyx_FMT_TYPENAME ")",
                    float_value_type_name);
                __Pyx_DECREF_TypeName(float_value_type_name);
                Py_DECREF(float_value);
                goto bad;
            }
        } else {
            float_value = __Pyx_PyObject_CallOneArg((PyObject*)&PyFloat_Type, obj);
        }
#endif
        if (likely(float_value)) {
            double value = __Pyx_PyFloat_AS_DOUBLE(float_value);
            Py_DECREF(float_value);
            return value;
        }
    }
bad:
    return (double)-1;
}

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceMultiply : PyNumber_Multiply)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    long b, x;
#ifdef HAVE_LONG_LONG
    const PY_LONG_LONG lla = intval;
    PY_LONG_LONG llb, llx;
#endif
    if (unlikely(__Pyx_PyLong_IsZero(op2))) {
        return __Pyx_NewRef(op2);
    }
    if (unlikely(!__Pyx_PyLong_CompactAsLong(op2, &b))) {
        const digit* digits = __Pyx_PyLong_Digits(op2);
        const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op2);
        switch (size) {
            case -2:
                if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT+30) {
                    b = -(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+30) {
                    llb = -(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+30) {
                    b = (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+30) {
                    llb = (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+30) {
                    b = -(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+30) {
                    llb = -(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+30) {
                    b = (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+30) {
                    llb = (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+30) {
                    b = -(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+30) {
                    llb = -(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+30) {
                    b = (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+30) {
                    llb = (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_multiply(op1, op2);
        }
    }
            CYTHON_UNUSED_VAR(a);
            CYTHON_UNUSED_VAR(b);
            #ifdef HAVE_LONG_LONG
            llb = b;
            goto long_long;
            #else
            return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
            #endif
        return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
    long_long:
            llx = lla * llb;
        return PyLong_FromLongLong(llx);
#endif
    return __Pyx_Fallback___Pyx_PyLong_MultiplyCObj(op1, op2, inplace);
    
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_MultiplyCObj(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    double b = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) * (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        return __Pyx_Unpacked___Pyx_PyLong_MultiplyCObj(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        return __Pyx_Float___Pyx_PyLong_MultiplyCObj(op2, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_MultiplyCObj(op1, op2, inplace);
}
#endif

/* PyObjectFormatAndDecref */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
    if (unlikely(!s)) return NULL;
    if (likely(PyUnicode_CheckExact(s))) return s;
    return __Pyx_PyObject_FormatAndDecref(s, f);
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
    PyObject *result;
    if (unlikely(!s)) return NULL;
    result = PyObject_Format(s, f);
    Py_DECREF(s);
    return result;
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject** values, 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;
    if (max_char > 1114111) max_char = 1114111;
    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);
    assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
    if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - result_ulength < 0))
        goto overflow;
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = values[i];
        #if !CYTHON_COMPILING_IN_LIMITED_API
        if (__Pyx_PyUnicode_READY(uval) == (-1))
            goto bad;
        #endif
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(ulength < 0)) goto bad;
        #endif
        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 (ukind == result_ukind) {
            memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
        } else {
            #if PY_VERSION_HEX >= 0x030d0000
            if (unlikely(PyUnicode_CopyCharacters(result_uval, char_pos, uval, 0, ulength) < 0)) goto bad;
            #elif CYTHON_COMPILING_IN_CPYTHON || 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
    Py_ssize_t i;
    PyObject *result = NULL;
    PyObject *value_tuple = PyTuple_New(value_count);
    if (unlikely(!value_tuple)) return NULL;
    CYTHON_UNUSED_VAR(max_char);
    CYTHON_UNUSED_VAR(result_ulength);
    for (i=0; i<value_count; i++) {
        if (__Pyx_PyTuple_SET_ITEM(value_tuple, i, values[i]) != (0)) goto bad;
        Py_INCREF(values[i]);
    }
    result = PyUnicode_Join(__pyx_mstate_global->__pyx_empty_unicode, value_tuple);
bad:
    Py_DECREF(value_tuple);
    return result;
#endif
}

/* RaiseClosureNameError */
static void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* pep479 */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen) {
    PyObject *exc, *val, *tb, *cur_exc, *new_exc;
    __Pyx_PyThreadState_declare
    int is_async_stopiteration = 0;
    CYTHON_MAYBE_UNUSED_VAR(in_async_gen);
    __Pyx_PyThreadState_assign
    cur_exc = __Pyx_PyErr_CurrentExceptionType();
    if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
        if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopAsyncIteration))) {
            is_async_stopiteration = 1;
        } else {
            return;
        }
    }
    __Pyx_GetException(&exc, &val, &tb);
    Py_XDECREF(exc);
    Py_XDECREF(tb);
    new_exc = PyObject_CallFunction(PyExc_RuntimeError, "s",
        is_async_stopiteration ? "async generator raised StopAsyncIteration" :
        in_async_gen ? "async generator raised StopIteration" :
        "generator raised StopIteration");
    if (!new_exc) {
        Py_XDECREF(val);
        return;
    }
    PyException_SetCause(new_exc, val); // steals ref to val
    PyErr_SetObject(PyExc_RuntimeError, new_exc);
}

/* KeywordStringCheck */
static int __Pyx_CheckKeywordStrings(
    const char* function_name,
    PyObject *kw)
{
#if CYTHON_COMPILING_IN_PYPY && !defined(PyArg_ValidateKeywordArguments)
    CYTHON_UNUSED_VAR(function_name);
    CYTHON_UNUSED_VAR(kw);
    return 0;
#else
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kw))) {
#if PY_VERSION_HEX >= 0x03090000
        CYTHON_UNUSED_VAR(function_name);
#else
        Py_ssize_t kwsize;
        #if CYTHON_ASSUME_SAFE_SIZE
        kwsize = PyTuple_GET_SIZE(kw);
        #else
        kwsize = PyTuple_Size(kw);
        if (unlikely(kwsize < 0)) return -1;
        #endif
        for (Py_ssize_t pos = 0; pos < kwsize; pos++) {
            PyObject* key = NULL;
            #if CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kw, pos);
            #else
            key = PyTuple_GetItem(kw, pos);
            if (unlikely(!key)) return -1;
            #endif
            if (unlikely(!PyUnicode_Check(key))) {
                PyErr_Format(PyExc_TypeError,
                    "%.200s() keywords must be strings", function_name);
                return -1;
            }
        }
#endif
    } else {
        if (unlikely(!PyArg_ValidateKeywordArguments(kw))) return -1;
    }
    return 0;
#endif
}

/* PyObjectCallNoArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg[2] = {NULL, NULL};
    return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
    PyObject *args[1] = {obj};
    (void) __Pyx_PyObject_GetMethod;
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_CallNoArg;
    return PyObject_VectorcallMethod(method_name, args, 1 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    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;
#endif
}

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

/* UnpackTupleError */
static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else {
      Py_ssize_t size = __Pyx_PyTuple_GET_SIZE(t);
 #if !CYTHON_ASSUME_SAFE_SIZE
      if (unlikely(size < 0)) return;
 #endif
      if (size < index) {
        __Pyx_RaiseNeedMoreValuesError(size);
      } else {
        __Pyx_RaiseTooManyValuesError(index);
      }
    }
}

/* UnpackTuple2 */
static CYTHON_INLINE int __Pyx_unpack_tuple2(
        PyObject* tuple, PyObject** value1, PyObject** value2, int is_tuple, int has_known_size, int decref_tuple) {
    if (likely(is_tuple || PyTuple_Check(tuple))) {
        Py_ssize_t size;
        if (has_known_size) {
            return __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple);
        }
        size = __Pyx_PyTuple_GET_SIZE(tuple);
        if (likely(size == 2)) {
            return __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple);
        }
        if (size >= 0) {
            __Pyx_UnpackTupleError(tuple, 2);
        }
        return -1;
    } else {
        return __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple);
    }
}
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
    value1 = __Pyx_PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = __Pyx_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_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
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 */
#if CYTHON_COMPILING_IN_PYPY
#include <string.h>
#endif
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;
#else
        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);
}
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE int __Pyx_dict_iter_next_source_is_dict(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem) {
    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);
        #if CYTHON_ASSUME_SAFE_MACROS
        PyTuple_SET_ITEM(tuple, 0, key);
        PyTuple_SET_ITEM(tuple, 1, value);
        #else
        if (unlikely(PyTuple_SetItem(tuple, 0, key) < 0)) {
            Py_DECREF(value);
            Py_DECREF(tuple);
            return -1;
        }
        if (unlikely(PyTuple_SetItem(tuple, 1, value) < 0)) {
            Py_DECREF(tuple);
            return -1;
        }
        #endif
        *pitem = tuple;
    } else {
        if (pkey) {
            Py_INCREF(key);
            *pkey = key;
        }
        if (pvalue) {
            Py_INCREF(value);
            *pvalue = value;
        }
    }
    return 1;
}
#endif
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) {
        int result;
#if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_BEGIN_CRITICAL_SECTION(iter_obj);
#endif
        result = __Pyx_dict_iter_next_source_is_dict(iter_obj, orig_length, ppos, pkey, pvalue, pitem);
#if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_END_CRITICAL_SECTION();
#endif
        return result;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        Py_ssize_t tuple_size = __Pyx_PyTuple_GET_SIZE(iter_obj);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(tuple_size < 0)) return -1;
        #endif
        if (unlikely(pos >= tuple_size)) return 0;
        *ppos = pos + 1;
        #if CYTHON_ASSUME_SAFE_MACROS
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        #else
        next_item = PyTuple_GetItem(iter_obj, pos);
        if (unlikely(!next_item)) return -1;
        #endif
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        Py_ssize_t list_size = __Pyx_PyList_GET_SIZE(iter_obj);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(list_size < 0)) return -1;
        #endif
        if (unlikely(pos >= list_size)) return 0;
        *ppos = pos + 1;
        #if CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
        next_item = PyList_GetItemRef(iter_obj, pos);
        if (unlikely(!next_item)) return -1;
        #elif CYTHON_ASSUME_SAFE_MACROS
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
        #else
        next_item = PyList_GetItem(iter_obj, pos);
        if (unlikely(!next_item)) return -1;
        Py_INCREF(next_item);
        #endif
    } 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;
}

/* RejectKeywords */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds) {
    PyObject *key = NULL;
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds))) {
        key = __Pyx_PySequence_ITEM(kwds, 0);
    } else {
        Py_ssize_t pos = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
        if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return;
#endif
        PyDict_Next(kwds, &pos, &key, NULL);
        Py_INCREF(key);
    }
    if (likely(key)) {
        PyErr_Format(PyExc_TypeError,
            "%s() got an unexpected keyword argument '%U'",
            function_name, key);
        Py_DECREF(key);
    }
}

/* UnicodeConcatInPlace */
# if CYTHON_COMPILING_IN_CPYTHON
static int
__Pyx_unicode_modifiable(PyObject *unicode)
{
    if (Py_REFCNT(unicode) != 1)
        return 0;
    if (!PyUnicode_CheckExact(unicode))
        return 0;
    if (PyUnicode_CHECK_INTERNED(unicode))
        return 0;
    return 1;
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    ) {
    PyObject *left = *p_left;
    Py_ssize_t left_len, right_len, new_len;
    if (unlikely(__Pyx_PyUnicode_READY(left) == -1))
        return NULL;
    if (unlikely(__Pyx_PyUnicode_READY(right) == -1))
        return NULL;
    left_len = PyUnicode_GET_LENGTH(left);
    if (left_len == 0) {
        Py_INCREF(right);
        return right;
    }
    right_len = PyUnicode_GET_LENGTH(right);
    if (right_len == 0) {
        Py_INCREF(left);
        return left;
    }
    if (unlikely(left_len > PY_SSIZE_T_MAX - right_len)) {
        PyErr_SetString(PyExc_OverflowError,
                        "strings are too large to concat");
        return NULL;
    }
    new_len = left_len + right_len;
    if (__Pyx_unicode_modifiable(left)
            && PyUnicode_CheckExact(right)
            && PyUnicode_KIND(right) <= PyUnicode_KIND(left)
            && !(PyUnicode_IS_ASCII(left) && !PyUnicode_IS_ASCII(right))) {
        int ret;
        __Pyx_GIVEREF(*p_left);
        ret = PyUnicode_Resize(p_left, new_len);
        __Pyx_GOTREF(*p_left);
        if (unlikely(ret != 0))
            return NULL;
        #if PY_VERSION_HEX >= 0x030d0000
        if (unlikely(PyUnicode_CopyCharacters(*p_left, left_len, right, 0, right_len) < 0)) return NULL;
        #else
        _PyUnicode_FastCopyCharacters(*p_left, left_len, right, 0, right_len);
        #endif
        __Pyx_INCREF(*p_left);
        __Pyx_GIVEREF(*p_left);
        return *p_left;
    } else {
        return __Pyx_PyUnicode_Concat(left, right);
    }
  }
#endif

/* 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_GetFullyQualifiedName(Py_TYPE(obj));
    type_name = __Pyx_PyType_GetFullyQualifiedName(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;
}

/* PyObjectLookupSpecial */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error) {
    PyObject *res;
    PyTypeObject *tp = Py_TYPE(obj);
    res = _PyType_Lookup(tp, attr_name);
    if (likely(res)) {
        descrgetfunc f = Py_TYPE(res)->tp_descr_get;
        if (!f) {
            Py_INCREF(res);
        } else {
            res = f(res, obj, (PyObject *)tp);
        }
    } else if (with_error) {
        PyErr_SetObject(PyExc_AttributeError, attr_name);
    }
    return res;
}
#endif

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_SubtractObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __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:
                case 2:
                    if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                        a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -2)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                case 3:
                    if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -3)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                case 4:
                    if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -4)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                default:
        #endif
                    a = PyLong_AsDouble(op1);
                    if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        #if CYTHON_USE_PYLONG_INTERNALS
            }
        }
        #endif
    } else {
        return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
    }
        result = a - b;
        return PyFloat_FromDouble(result);
}
#endif

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    long b, x;
#ifdef HAVE_LONG_LONG
    const PY_LONG_LONG lla = intval;
    PY_LONG_LONG llb, llx;
#endif
    if (unlikely(__Pyx_PyLong_IsZero(op2))) {
        return __Pyx_NewRef(op1);
    }
    if (unlikely(!__Pyx_PyLong_CompactAsLong(op2, &b))) {
        const digit* digits = __Pyx_PyLong_Digits(op2);
        const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op2);
        switch (size) {
            case -2:
                if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                    b = -(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) {
                    llb = -(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) {
                    b = (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) {
                    llb = (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) {
                    b = -(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) {
                    llb = -(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) {
                    b = (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) {
                    llb = (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) {
                    b = -(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) {
                    llb = -(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) {
                    b = (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) {
                    llb = (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_subtract(op1, op2);
        }
    }
            x = a - b;
        return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
    long_long:
            llx = lla - llb;
        return PyLong_FromLongLong(llx);
#endif
    return __Pyx_Fallback___Pyx_PyLong_SubtractCObj(op1, op2, inplace);
    
    
}
#endif
static PyObject* __Pyx_Float___Pyx_PyLong_SubtractCObj(PyObject *float_val, long intval, int zerodivision_check) {
    CYTHON_UNUSED_VAR(zerodivision_check);
    const long a = intval;
    double b = __Pyx_PyFloat_AS_DOUBLE(float_val);
        double result;
        
        result = ((double)a) - (double)b;
        return PyFloat_FromDouble(result);
}
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        return __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        return __Pyx_Float___Pyx_PyLong_SubtractCObj(op2, intval, zerodivision_check);
    }
    return __Pyx_Fallback___Pyx_PyLong_SubtractCObj(op1, op2, inplace);
}
#endif

/* PyLongBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_Fallback___Pyx_PyLong_FloorDivideObjC(PyObject *op1, PyObject *op2, int inplace) {
    return (inplace ? PyNumber_InPlaceFloorDivide : PyNumber_FloorDivide)(op1, op2);
}
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject* __Pyx_Unpacked___Pyx_PyLong_FloorDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    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(op1);
    }
    if (unlikely(!__Pyx_PyLong_CompactAsLong(op1, &a))) {
        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_floor_divide(op1, op2);
        }
    }
            {
                long q, r;
                q = a / b;
                r = a - q*b;
                q -= ((r != 0) & ((r ^ b) < 0));
                x = q;
            }
        return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
    long_long:
            {
                PY_LONG_LONG q, r;
                q = lla / llb;
                r = lla - q*llb;
                q -= ((r != 0) & ((r ^ llb) < 0));
                llx = q;
            }
        return PyLong_FromLongLong(llx);
#endif
    return __Pyx_Fallback___Pyx_PyLong_FloorDivideObjC(op1, op2, inplace);
    
    
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyLong_FloorDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        return __Pyx_Unpacked___Pyx_PyLong_FloorDivideObjC(op1, op2, intval, inplace, zerodivision_check);
    }
    #endif
    return __Pyx_Fallback___Pyx_PyLong_FloorDivideObjC(op1, op2, inplace);
}
#endif

/* PyUnicode_Substring */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_Substring(
            PyObject* text, Py_ssize_t start, Py_ssize_t stop) {
    Py_ssize_t length;
    #if !CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(__Pyx_PyUnicode_READY(text) == -1)) return NULL;
    #endif
    length = __Pyx_PyUnicode_GET_LENGTH(text);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(length < 0)) return NULL;
    #endif
    if (start < 0) {
        start += length;
        if (start < 0)
            start = 0;
    }
    if (stop < 0)
        stop += length;
    else if (stop > length)
        stop = length;
    if (stop <= start)
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_unicode);
    if (start == 0 && stop == length)
        return __Pyx_NewRef(text);
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyUnicode_Substring(text, start, stop);
#else
    return PyUnicode_FromKindAndData(PyUnicode_KIND(text),
        PyUnicode_1BYTE_DATA(text) + start*PyUnicode_KIND(text), stop-start);
#endif
}

/* CIntToDigits */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp = PySequence_Repeat(padding, uoffset - prepend_sign);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyUnicode_Concat(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyUnicode_Concat(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* COrdinalToPyUnicode */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value) {
    return value <= 1114111;
}
static PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t ulength, char padding_char) {
    if (likely(ulength <= 250)) {
        char chars[256];
        if (value <= 255) {
            memset(chars, padding_char, (size_t) (ulength - 1));
            chars[ulength-1] = (char) value;
            return PyUnicode_DecodeLatin1(chars, ulength, NULL);
        }
        char *cpos = chars + sizeof(chars);
        if (value < 0x800) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xc0 | (value & 0x1f));
        } else if (value < 0x10000) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xe0 | (value & 0x0f));
        } else {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xf0 | (value & 0x07));
        }
        cpos -= ulength;
        memset(cpos, padding_char, (size_t) (ulength - 1));
        return PyUnicode_DecodeUTF8(cpos, chars + sizeof(chars) - cpos, NULL);
    }
    if (value <= 127 && CYTHON_USE_UNICODE_INTERNALS) {
        const char chars[1] = {(char) value};
        return __Pyx_PyUnicode_BuildFromAscii(ulength, chars, 1, 0, padding_char);
    }
    {
        PyObject *uchar, *padding_uchar, *padding, *result;
        padding_uchar = PyUnicode_FromOrdinal(padding_char);
        if (unlikely(!padding_uchar)) return NULL;
        padding = PySequence_Repeat(padding_uchar, ulength - 1);
        Py_DECREF(padding_uchar);
        if (unlikely(!padding)) return NULL;
        uchar = PyUnicode_FromOrdinal(value);
        if (unlikely(!uchar)) {
            Py_DECREF(padding);
            return NULL;
        }
        result = PyUnicode_Concat(padding, uchar);
        Py_DECREF(padding);
        Py_DECREF(uchar);
        return result;
    }
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#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 (format_char == 'c') {
        if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                     !(sizeof(value) <= 2 || value & ~ (int) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
            PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
            return NULL;
        }
        if (width <= 1) {
            return PyUnicode_FromOrdinal((int) value);
        }
        return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
    }
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* DivInt[long] */
static CYTHON_INLINE long __Pyx_div_long(long a, long b, int b_is_constant) {
    long q = a / b;
    long r = a - q*b;
    long adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}

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

/* CallTypeTraverse */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x03090000
    if (__Pyx_get_runtime_version() < 0x03090000) return 0;
    #endif
    if (!always_call) {
        PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);
        unsigned long flags = PyType_GetFlags(base);
        if (flags & Py_TPFLAGS_HEAPTYPE) {
            return 0;
        }
    }
    Py_VISIT((PyObject*)Py_TYPE(o));
    return 0;
}
#endif

/* LimitedApiGetTypeDict */
#if CYTHON_COMPILING_IN_LIMITED_API
static Py_ssize_t __Pyx_GetTypeDictOffset(void) {
    PyObject *tp_dictoffset_o;
    Py_ssize_t tp_dictoffset;
    tp_dictoffset_o = PyObject_GetAttrString((PyObject*)(&PyType_Type), "__dictoffset__");
    if (unlikely(!tp_dictoffset_o)) return -1;
    tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o);
    Py_DECREF(tp_dictoffset_o);
    if (unlikely(tp_dictoffset == 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' doesn't have a dictoffset");
        return -1;
    } else if (unlikely(tp_dictoffset < 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' has an unexpected negative dictoffset. "
            "Please report this as Cython bug");
        return -1;
    }
    return tp_dictoffset;
}
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp) {
    static Py_ssize_t tp_dictoffset = 0;
    if (unlikely(tp_dictoffset == 0)) {
        tp_dictoffset = __Pyx_GetTypeDictOffset();
        if (unlikely(tp_dictoffset == -1 && PyErr_Occurred())) {
            tp_dictoffset = 0; // try again next time?
            return NULL;
        }
    }
    return *(PyObject**)((char*)tp + tp_dictoffset);
}
#endif

/* SetItemOnTypeDict */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v) {
    int result;
    PyObject *tp_dict;
#if CYTHON_COMPILING_IN_LIMITED_API
    tp_dict = __Pyx_GetTypeDict(tp);
    if (unlikely(!tp_dict)) return -1;
#else
    tp_dict = tp->tp_dict;
#endif
    result = PyDict_SetItem(tp_dict, k, v);
    if (likely(!result)) {
        PyType_Modified(tp);
        if (unlikely(PyObject_HasAttr(v, __pyx_mstate_global->__pyx_n_u_set_name))) {
            PyObject *setNameResult = PyObject_CallMethodObjArgs(v, __pyx_mstate_global->__pyx_n_u_set_name,  (PyObject *) tp, k, NULL);
            if (!setNameResult) return -1;
            Py_DECREF(setNameResult);
        }
    }
    return result;
}

/* FixUpExtensionType */
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if __PYX_LIMITED_VERSION_HEX > 0x030900B1
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
    CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
#else
    const PyType_Slot *slot = spec->slots;
    int changed = 0;
#if !CYTHON_COMPILING_IN_LIMITED_API
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
#if !CYTHON_COMPILING_IN_CPYTHON
        const
#endif  // !CYTHON_COMPILING_IN_CPYTHON)
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
                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  // CYTHON_METH_FASTCALL
#if !CYTHON_COMPILING_IN_PYPY
                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;
                    int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                    Py_DECREF(descr);
                    if (unlikely(set_item_result < 0)) {
                        return -1;
                    }
                    changed = 1;
                }
#endif  // !CYTHON_COMPILING_IN_PYPY
            }
            memb++;
        }
    }
#endif  // !CYTHON_COMPILING_IN_LIMITED_API
#if !CYTHON_COMPILING_IN_PYPY
    slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_getset)
        slot++;
    if (slot && slot->slot == Py_tp_getset) {
        PyGetSetDef *getset = (PyGetSetDef*) slot->pfunc;
        while (getset && getset->name) {
            if (getset->name[0] == '_' && getset->name[1] == '_' && strcmp(getset->name, "__module__") == 0) {
                PyObject *descr = PyDescr_NewGetSet(type, getset);
                if (unlikely(!descr))
                    return -1;
                #if CYTHON_COMPILING_IN_LIMITED_API
                PyObject *pyname = PyUnicode_FromString(getset->name);
                if (unlikely(!pyname)) {
                    Py_DECREF(descr);
                    return -1;
                }
                int set_item_result = __Pyx_SetItemOnTypeDict(type, pyname, descr);
                Py_DECREF(pyname);
                #else
                CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
                int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                #endif
                Py_DECREF(descr);
                if (unlikely(set_item_result < 0)) {
                    return -1;
                }
                changed = 1;
            }
            ++getset;
        }
    }
#endif  // !CYTHON_COMPILING_IN_PYPY
    if (changed)
        PyType_Modified(type);
#endif  // PY_VERSION_HEX > 0x030900B1
    return 0;
}

/* 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;
#if CYTHON_ASSUME_SAFE_SIZE
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (unlikely(n < 0)) return -1;
#endif
    for (i = 1; i < n; i++)
    {
        PyTypeObject *b;
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
        if (dictoffset == 0)
        {
            Py_ssize_t b_dictoffset = 0;
#if CYTHON_USE_TYPE_SLOTS
            b_dictoffset = b->tp_dictoffset;
#else
            PyObject *py_b_dictoffset = PyObject_GetAttrString((PyObject*)b, "__dictoffset__");
            if (!py_b_dictoffset) goto dictoffset_return;
            b_dictoffset = PyLong_AsSsize_t(py_b_dictoffset);
            Py_DECREF(py_b_dictoffset);
            if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
#endif
            if (b_dictoffset) {
                {
                    __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(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);
                }
#if !CYTHON_USE_TYPE_SLOTS
              dictoffset_return:
#endif
#if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(b0);
#endif
                return -1;
            }
        }
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif

/* PyType_Ready */
CYTHON_UNUSED static int __Pyx_PyType_HasMultipleInheritance(PyTypeObject *t) {
    while (t) {
        PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
        if (bases) {
            return 1;
        }
        t = __Pyx_PyType_GetSlot(t, tp_base, PyTypeObject*);
    }
    return 0;
}
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !CYTHON_COMPILING_IN_CPYTHON || 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;
    if (!__Pyx_PyType_HasMultipleInheritance(t)) {
        return PyType_Ready(t);
    }
    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 !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 (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400) &&\
                !CYTHON_COMPILING_IN_GRAAL
        gc = PyImport_GetModule(__pyx_mstate_global->__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_mstate_global->__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__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_mstate_global->__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 !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_mstate_global->__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
}

/* 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_mstate_global->__pyx_n_u_pyx_vtable, ob) < 0))
#else
    if (unlikely(PyDict_SetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_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 */
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i=0;
    Py_ssize_t size;
    void** base_vtables;
    __Pyx_TypeName tp_base_name = NULL;
    __Pyx_TypeName base_name = NULL;
    void* unknown = (void*)-1;
    PyObject* bases = __Pyx_PyType_GetSlot(type, tp_bases, PyObject*);
    int base_depth = 0;
    {
        PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        while (base) {
            base_depth += 1;
            base = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
        }
    }
    base_vtables = (void**) PyMem_Malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
#if CYTHON_COMPILING_IN_LIMITED_API
    size = PyTuple_Size(bases);
    if (size < 0) goto other_failure;
#else
    size = PyTuple_GET_SIZE(bases);
#endif
    for (i = 1; i < size; i++) {
        PyObject *basei;
        void* base_vtable;
#if CYTHON_AVOID_BORROWED_REFS
        basei = PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#else
        basei = PyTuple_GET_ITEM(bases, i);
#endif
        base_vtable = __Pyx_GetVtable((PyTypeObject*)basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
            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 = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
            }
        }
    }
    PyErr_Clear();
    PyMem_Free(base_vtables);
    return 0;
bad:
    {
        PyTypeObject* basei = NULL;
        PyTypeObject* tp_base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        tp_base_name = __Pyx_PyType_GetFullyQualifiedName(tp_base);
#if CYTHON_AVOID_BORROWED_REFS
        basei = (PyTypeObject*)PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = (PyTypeObject*)PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#else
        basei = (PyTypeObject*)PyTuple_GET_ITEM(bases, i);
#endif
        base_name = __Pyx_PyType_GetFullyQualifiedName(basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
    }
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
#if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
really_bad: // bad has failed!
#endif
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
other_failure:
#endif
    PyMem_Free(base_vtables);
    return -1;
}

/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType_3_1_6
#define __PYX_HAVE_RT_ImportType_3_1_6
static PyTypeObject *__Pyx_ImportType_3_1_6(PyObject *module, const char *module_name, const char *class_name,
    size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_1_6 check_size)
{
    PyObject *result = 0;
    Py_ssize_t basicsize;
    Py_ssize_t itemsize;
#if defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API)
    PyObject *py_basicsize;
    PyObject *py_itemsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#if !( defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API) )
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
    itemsize = ((PyTypeObject *)result)->tp_itemsize;
#else
    if (size == 0) {
        return (PyTypeObject *)result;
    }
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
    py_itemsize = PyObject_GetAttrString(result, "__itemsize__");
    if (!py_itemsize)
        goto bad;
    itemsize = PyLong_AsSsize_t(py_itemsize);
    Py_DECREF(py_itemsize);
    py_itemsize = 0;
    if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (itemsize) {
        if (size % alignment) {
            alignment = size % alignment;
        }
        if (itemsize < (Py_ssize_t)alignment)
            itemsize = (Py_ssize_t)alignment;
    }
    if ((size_t)(basicsize + itemsize) < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize+itemsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error_3_1_6 &&
            ((size_t)basicsize > size || (size_t)(basicsize + itemsize) < size)) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd-%zd from PyObject",
            module_name, class_name, size, basicsize, basicsize+itemsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn_3_1_6 && (size_t)basicsize > size) {
        if (PyErr_WarnFormat(NULL, 0,
                "%.200s.%.200s size changed, may indicate binary incompatibility. "
                "Expected %zd from C header, got %zd from PyObject",
                module_name, class_name, size, basicsize) < 0) {
            goto bad;
        }
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

/* ListPack */
static PyObject *__Pyx_PyList_Pack(Py_ssize_t n, ...) {
    va_list va;
    PyObject *l = PyList_New(n);
    va_start(va, n);
    if (unlikely(!l)) goto end;
    for (Py_ssize_t i=0; i<n; ++i) {
        PyObject *arg = va_arg(va, PyObject*);
        Py_INCREF(arg);
        if (__Pyx_PyList_SET_ITEM(l, i, arg) != (0)) {
            Py_CLEAR(l);
            goto end;
        }
    }
    end:
    va_end(va);
    return l;
}

/* 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_mstate_global->__pyx_kp_u__6);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400) ||\
                CYTHON_COMPILING_IN_GRAAL
        {
            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, "cannot import name %S", name);
    }
    return value;
}

/* Py3UpdateBases */
static PyObject*
__Pyx_PEP560_update_bases(PyObject *bases)
{
    Py_ssize_t i, j, size_bases;
    PyObject *base = NULL, *meth, *new_base, *result, *new_bases = NULL;
#if CYTHON_ASSUME_SAFE_SIZE
    size_bases = PyTuple_GET_SIZE(bases);
#else
    size_bases = PyTuple_Size(bases);
    if (size_bases < 0) return NULL;
#endif
    for (i = 0; i < size_bases; i++) {
#if CYTHON_AVOID_BORROWED_REFS
        Py_CLEAR(base);
#endif
#if CYTHON_ASSUME_SAFE_MACROS
        base = PyTuple_GET_ITEM(bases, i);
#else
        base = PyTuple_GetItem(bases, i);
        if (!base) goto error;
#endif
#if CYTHON_AVOID_BORROWED_REFS
        Py_INCREF(base);
#endif
        if (PyType_Check(base)) {
            if (new_bases) {
                if (PyList_Append(new_bases, base) < 0) {
                    goto error;
                }
            }
            continue;
        }
        meth = __Pyx_PyObject_GetAttrStrNoError(base, __pyx_mstate_global->__pyx_n_u_mro_entries);
        if (!meth && PyErr_Occurred()) {
            goto error;
        }
        if (!meth) {
            if (new_bases) {
                if (PyList_Append(new_bases, base) < 0) {
                    goto error;
                }
            }
            continue;
        }
        new_base = __Pyx_PyObject_CallOneArg(meth, bases);
        Py_DECREF(meth);
        if (!new_base) {
            goto error;
        }
        if (!PyTuple_Check(new_base)) {
            PyErr_SetString(PyExc_TypeError,
                            "__mro_entries__ must return a tuple");
            Py_DECREF(new_base);
            goto error;
        }
        if (!new_bases) {
            if (!(new_bases = PyList_New(i))) {
                goto error;
            }
            for (j = 0; j < i; j++) {
                PyObject *base_from_list;
#if CYTHON_ASSUME_SAFE_MACROS
                base_from_list = PyTuple_GET_ITEM(bases, j);
                PyList_SET_ITEM(new_bases, j, base_from_list);
                Py_INCREF(base_from_list);
#else
                base_from_list = PyTuple_GetItem(bases, j);
                if (!base_from_list) goto error;
                Py_INCREF(base_from_list);
                if (PyList_SetItem(new_bases, j, base_from_list) < 0) goto error;
#endif
            }
        }
#if CYTHON_ASSUME_SAFE_SIZE
        j = PyList_GET_SIZE(new_bases);
#else
        j = PyList_Size(new_bases);
        if (j < 0) goto error;
#endif
        if (PyList_SetSlice(new_bases, j, j, new_base) < 0) {
            goto error;
        }
        Py_DECREF(new_base);
    }
    if (!new_bases) {
        Py_INCREF(bases);
        return bases;
    }
    result = PyList_AsTuple(new_bases);
    Py_DECREF(new_bases);
#if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(base);
#endif
    return result;
error:
    Py_XDECREF(new_bases);
#if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(base);
#endif
    return NULL;
}

/* CalculateMetaclass */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases;
#if CYTHON_ASSUME_SAFE_SIZE
    nbases = PyTuple_GET_SIZE(bases);
#else
    nbases = PyTuple_Size(bases);
    if (nbases < 0) return NULL;
#endif
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
#if CYTHON_ASSUME_SAFE_MACROS
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *tmp = PyTuple_GetItem(bases, i);
        if (!tmp) return NULL;
#endif
        tmptype = Py_TYPE(tmp);
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
        metaclass = &PyType_Type;
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);
}

/* dict_setdefault */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value,
                                                       int is_safe_type) {
    PyObject* value;
    CYTHON_MAYBE_UNUSED_VAR(is_safe_type);
#if CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_CallMethod(d, "setdefault", "OO", key, default_value);
#elif PY_VERSION_HEX >= 0x030d0000
    PyDict_SetDefaultRef(d, key, default_value, &value);
#else
    value = PyDict_SetDefault(d, key, default_value);
    if (unlikely(!value)) return NULL;
    Py_INCREF(value);
#endif
    return value;
}

/* FetchCommonType */
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);
    if (result && metaclass) {
        PyObject *old_tp = (PyObject*)Py_TYPE(result);
    Py_INCREF((PyObject*)metaclass);
#if __PYX_LIMITED_VERSION_HEX >= 0x03090000
        Py_SET_TYPE(result, metaclass);
#else
        result->ob_type = metaclass;
#endif
        Py_DECREF(old_tp);
    }
    return result;
}
#else
#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
#endif
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize) {
    Py_ssize_t basicsize;
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (expected_basicsize == 0) {
        return 0; // size is inherited, nothing useful to check
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_basicsize;
    py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
    if (unlikely(!py_basicsize)) return -1;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = NULL;
    if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;
#else
    basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;
#endif
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;
    int get_item_ref_result;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    py_object_name = PyUnicode_FromString(object_name);
    if (!py_object_name) return NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) goto done;
    abi_module_dict = PyModule_GetDict(abi_module);
    if (!abi_module_dict) goto done;
    get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);
    if (get_item_ref_result == 1) {
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else if (unlikely(get_item_ref_result == -1)) {
        goto bad;
    }
    CYTHON_UNUSED_VAR(module);
    cached_type = __Pyx_PyType_FromMetaclass(metaclass, 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;
    new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type, 1);
    if (unlikely(new_cached_type != cached_type)) {
        if (unlikely(!new_cached_type)) goto bad;
        Py_DECREF(cached_type);
        cached_type = new_cached_type;
        if (__Pyx_VerifyCachedType(
                cached_type,
                object_name,
                spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else {
        Py_DECREF(new_cached_type);
    }
done:
    Py_XDECREF(abi_module);
    Py_DECREF(py_object_name);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CommonTypesMetaclass */
static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {
    return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);
}
static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {
    {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {
    {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},
    {0, 0}
};
static PyType_Spec __pyx_CommonTypesMetaclass_spec = {
    __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",
    0,
    0,
#if PY_VERSION_HEX >= 0x030A0000
    Py_TPFLAGS_IMMUTABLETYPE |
    Py_TPFLAGS_DISALLOW_INSTANTIATION |
#endif
    Py_TPFLAGS_DEFAULT,
    __pyx_CommonTypesMetaclass_slots
};
static int __pyx_CommonTypesMetaclass_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    PyObject *bases = PyTuple_Pack(1, &PyType_Type);
    if (unlikely(!bases)) {
        return -1;
    }
    mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);
    Py_DECREF(bases);
    if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {
        return -1;
    }
    return 0;
}

/* PyMethodNew */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *result;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    {
        PyObject *args[] = {func, self};
        result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);
    }
    #else
    result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);
    #endif
    return result;
}
#else
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#endif

/* PyVectorcallFastCallDict */
#if CYTHON_METH_FASTCALL && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
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;
    #if !CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t nkw = PyDict_Size(kw);
    if (unlikely(nkw == -1)) return NULL;
    #else
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    #endif
    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 &=
        #if CYTHON_COMPILING_IN_LIMITED_API
            PyType_GetFlags(Py_TYPE(key));
        #else
            Py_TYPE(key)->tp_flags;
        #endif
        Py_INCREF(key);
        Py_INCREF(value);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;
        #else
        PyTuple_SET_ITEM(kwnames, i, key);
        #endif
        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)
{
    Py_ssize_t kw_size =
        likely(kw == NULL) ?
        0 :
#if !CYTHON_ASSUME_SAFE_SIZE
        PyDict_Size(kw);
#else
        PyDict_GET_SIZE(kw);
#endif
    if (kw_size == 0) {
        return vc(func, args, nargs, NULL);
    }
#if !CYTHON_ASSUME_SAFE_SIZE
    else if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {
        int result;
        PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);
        if (unlikely(!newFunc)) {
            PyErr_Clear(); // It's only an optimization, so don't throw an error
            return 0;
        }
        result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);
        Py_DECREF(newFunc);
        return result;
    }
    return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if (PyMethod_Check(func)) {
        func = PyMethod_GET_FUNCTION(func);
    }
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    __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_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure) {
    PyObject *result;
    CYTHON_UNUSED_VAR(closure);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_doc_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
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_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#else
        op->func_name = PyUnicode_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 PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_name_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    Py_INCREF(op->func_qualname);
    result = op->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_dict_locked(__pyx_CyFunctionObject *op)
{
    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 PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_dict_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
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_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    __Pyx_END_CRITICAL_SECTION();
    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 = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_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_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    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 PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_defaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    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_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    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 PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_kwdefaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    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_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    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_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_annotations_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {
    int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
    if (is_coroutine) {
        PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(is_coroutine_value)) {
            return is_coroutine_value;
        }
ignore:
        PyErr_Clear();
    }
    return __Pyx_PyBool_FromLong(is_coroutine);
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    result = __Pyx_CyFunction_get_is_coroutine_value(op);
    if (unlikely(!result))
        return NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    if (op->func_is_coroutine) {
        Py_DECREF(result);
        result = __Pyx_NewRef(op->func_is_coroutine);
    } else {
        op->func_is_coroutine = __Pyx_NewRef(result);
    }
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static void __Pyx_CyFunction_raise_argument_count_error(__pyx_CyFunctionObject *func, const char* message, Py_ssize_t size) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        py_name, message, size);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        name, message, size);
#endif
}
static void __Pyx_CyFunction_raise_type_error(__pyx_CyFunctionObject *func, const char* message) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s",
        py_name, message);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s",
        name, message);
#endif
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
    {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL || CYTHON_COMPILING_IN_LIMITED_API
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {"__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)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(args);
    __Pyx_BEGIN_CRITICAL_SECTION(m);
    Py_INCREF(m->func_qualname);
    result = m->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if CYTHON_COMPILING_IN_LIMITED_API
#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) {
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    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 = 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);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
    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 !CYTHON_COMPILING_IN_LIMITED_API
#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
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    Py_CLEAR(m->defaults);
    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)
{
    {
        int e = __Pyx_call_type_traverse((PyObject*)m, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
    Py_VISIT(m->func_dict);
    __Pyx_VISIT_CONST(m->func_name);
    __Pyx_VISIT_CONST(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    __Pyx_VISIT_CONST(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    Py_VISIT(m->defaults);
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
    PyObject *repr;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    repr = PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
    __Pyx_END_CRITICAL_SECTION();
    return repr;
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (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(*)(void))meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes no arguments", size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_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;
            }
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes exactly one argument", size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    __Pyx_CyFunction_raise_type_error(
        (__pyx_CyFunctionObject*)func, "takes no keyword arguments");
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
        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;
#if CYTHON_ASSUME_SAFE_SIZE
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(argc < 0)) return NULL;
#endif
        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);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            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 && (CYTHON_VECTORCALL || CYTHON_BACKPORT_VECTORCALL)
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)) {
            __Pyx_CyFunction_raise_type_error(
                cyfunc, "needs an argument");
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
        __Pyx_CyFunction_raise_type_error(
            cyfunc, "takes no keyword arguments");
        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;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes no arguments", nargs);
        return NULL;
    }
    return 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;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes exactly one argument", nargs);
        return NULL;
    }
    return 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;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))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;
    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;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
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 CYTHON_METH_FASTCALL
#if defined(Py_TPFLAGS_HAVE_VECTORCALL)
    Py_TPFLAGS_HAVE_VECTORCALL |
#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
#endif // CYTHON_METH_FASTCALL
#if PY_VERSION_HEX >= 0x030A0000
    Py_TPFLAGS_IMMUTABLETYPE |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
static int __pyx_CyFunction_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);
    if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);
    if (unlikely(!m->defaults))
        return NULL;
    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_mstate_global->__pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* Py3ClassCreate */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStrNoError(metaclass, __pyx_mstate_global->__pyx_n_u_prepare);
        if (prep) {
            PyObject *pargs[3] = {NULL, name, bases};
            ns = __Pyx_PyObject_FastCallDict(prep, pargs+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, mkw);
            Py_DECREF(prep);
        } else {
            if (unlikely(PyErr_Occurred()))
                return NULL;
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result;
    PyObject *owned_metaclass = NULL;
    PyObject *margs[4] = {NULL, name, bases, dict};
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_mstate_global->__pyx_n_u_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    result = __Pyx_PyObject_FastCallDict(metaclass, margs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, mkw);
    Py_XDECREF(owned_metaclass);
    return result;
}

/* GetNameInClass */
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    PyObject *dict;
    assert(PyType_Check(nmspace));
#if CYTHON_USE_TYPE_SLOTS
    dict = ((PyTypeObject*)nmspace)->tp_dict;
    Py_XINCREF(dict);
#else
    dict = PyObject_GetAttr(nmspace, __pyx_mstate_global->__pyx_n_u_dict);
#endif
    if (likely(dict)) {
        result = PyObject_GetItem(dict, name);
        Py_DECREF(dict);
        if (result) {
            return result;
        }
    }
    PyErr_Clear();
    __Pyx_GetModuleGlobalNameUncached(result, name);
    return result;
}

/* CLineInTraceback */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
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_mstate_global->__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_mstate_global->__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __Pyx_BEGIN_CRITICAL_SECTION(*cython_runtime_dict);
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback))
        Py_XINCREF(use_cline);
        __Pyx_END_CRITICAL_SECTION();
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_cython_runtime, __pyx_mstate_global->__pyx_n_u_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_INCREF(use_cline);
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_mstate_global->__pyx_cython_runtime, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    Py_XDECREF(use_cline);
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
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 __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) {
    __Pyx_CachedCodeObjectType* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!code_cache->entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
    if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = code_cache->entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__find_code_object;
    return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count);
    if (old_count < 0) {
        __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
        return NULL;
    }
#endif
    __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
#endif
    return result;
#endif
}
static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object)
{
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = code_cache->entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            code_cache->entries = entries;
            code_cache->max_count = 64;
            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(code_cache->entries, code_cache->count, code_line);
    if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) {
        __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_INCREF(code_object);
        Py_DECREF(tmp);
        return;
    }
    if (code_cache->count == code_cache->max_count) {
        int new_max = code_cache->max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        code_cache->entries = entries;
        code_cache->max_count = new_max;
    }
    for (i=code_cache->count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    code_cache->count++;
    Py_INCREF(code_object);
}
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) {
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
    (void)__pyx__insert_code_object;
    return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail.
#else
    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_nonatomic_int_type expected = 0;
    if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) {
        return;
    }
#endif
    __pyx__insert_code_object(code_cache, code_line, code_object);
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN);
#endif
#endif
}

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION)
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    PyErr_Clear();
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    code_object = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!code_object) {
        code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
        if (unlikely(!code_object)) goto bad;
        py_py_line = PyLong_FromLong(py_line);
        if (unlikely(!py_py_line)) goto bad;
        py_funcname = PyUnicode_FromString(funcname);
        if (unlikely(!py_funcname)) goto bad;
        dict = PyDict_New();
        if (unlikely(!dict)) goto bad;
        {
            PyObject *old_code_object = code_object;
            code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
            Py_DECREF(old_code_object);
        }
        if (unlikely(!code_object)) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, code_object);
    } else {
        dict = PyDict_New();
    }
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    PyErr_Restore(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#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 (c_line) {
        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;
    }
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    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_mstate_global->__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;\
    }

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      return ::std::complex< long double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      return x + y*(__pyx_t_long_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      __pyx_t_long_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsl(b.real) >= fabsl(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                long double r = b.imag / b.real;
                long double s = (long double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_long_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            long double r = b.real / b.imag;
            long double s = (long double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_long_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            long double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_long_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex a) {
        __pyx_t_long_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex a) {
        __pyx_t_long_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtl(z.real*z.real + z.imag*z.imag);
          #else
            return hypotl(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
            __pyx_t_long_double_complex z;
            long double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    long double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_long__double(a, a);
                    case 3:
                        z = __Pyx_c_prod_long__double(a, a);
                        return __Pyx_c_prod_long__double(z, a);
                    case 4:
                        z = __Pyx_c_prod_long__double(a, a);
                        return __Pyx_c_prod_long__double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = powl(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2l(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_long__double(a);
                theta = atan2l(a.imag, a.real);
            }
            lnr = logl(r);
            z_r = expl(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosl(z_theta);
            z.imag = z_r * sinl(z_theta);
            return z;
        }
    #endif
#endif

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyLong_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 (unlikely(!PyLong_Check(x))) {
        int val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyLong_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
    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;
        int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
            x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
        if (unlikely(bytes_copied == -1)) {
        } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
            goto raise_overflow;
        } else {
            ret = 0;
        }
#elif PY_VERSION_HEX < 0x030d0000 && !(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 *)x,
                                    bytes, sizeof(val),
                                    is_little, !is_unsigned);
#else
        PyObject *v;
        PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
        int bits, remaining_bits, is_negative = 0;
        int chunk_size = (sizeof(long) < 8) ? 30 : 62;
        if (likely(PyLong_CheckExact(x))) {
            v = __Pyx_NewRef(x);
        } else {
            v = PyNumber_Long(x);
            if (unlikely(!v)) return (int) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (int) -1;
            }
            is_negative = result == 1;
        }
        if (is_unsigned && unlikely(is_negative)) {
            Py_DECREF(v);
            goto raise_neg_overflow;
        } else if (is_negative) {
            stepval = PyNumber_Invert(v);
            Py_DECREF(v);
            if (unlikely(!stepval))
                return (int) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        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;
            long idigit;
            digit = PyNumber_And(stepval, mask);
            if (unlikely(!digit)) goto done;
            idigit = PyLong_AsLong(digit);
            Py_DECREF(digit);
            if (unlikely(idigit < 0)) goto done;
            val |= ((int) idigit) << bits;
            tmp = PyNumber_Rshift(stepval, shift);
            if (unlikely(!tmp)) goto done;
            Py_DECREF(stepval); stepval = tmp;
        }
        Py_DECREF(shift); shift = NULL;
        Py_DECREF(mask); mask = NULL;
        {
            long 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 (!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
        if (unlikely(ret))
            return (int) -1;
        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;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_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 PyLong_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if defined(HAVE_LONG_LONG) && !CYTHON_COMPILING_IN_PYPY
        } 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 PyLong_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *from_bytes, *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(int));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
            if (!is_unsigned) {
                kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                if (!kwds) goto limited_bad;
                if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
            }
            result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_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 PyLong_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if defined(HAVE_LONG_LONG) && !CYTHON_COMPILING_IN_PYPY
        } 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 PyLong_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *from_bytes, *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
            if (!is_unsigned) {
                kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                if (!kwds) goto limited_bad;
                if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
            }
            result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
static __Pyx_TypeName
__Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp)
{
    PyObject *module = NULL, *name = NULL, *result = NULL;
    #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
    name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_qualname);
    #else
    name = PyType_GetQualName(tp);
    #endif
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) goto bad;
    module = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_mstate_global->__pyx_n_u_module);
    if (unlikely(module == NULL) || unlikely(!PyUnicode_Check(module))) goto bad;
    if (PyUnicode_CompareWithASCIIString(module, "builtins") == 0) {
        result = name;
        name = NULL;
        goto done;
    }
    result = PyUnicode_FromFormat("%U.%U", module, name);
    if (unlikely(result == NULL)) goto bad;
  done:
    Py_XDECREF(name);
    Py_XDECREF(module);
    return result;
  bad:
    PyErr_Clear();
    if (name) {
        result = name;
        name = NULL;
    } else {
        result = __Pyx_NewRef(__pyx_mstate_global->__pyx_kp_u__7);
    }
    goto done;
}
#endif

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyLong_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 (unlikely(!PyLong_Check(x))) {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyLong_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
    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;
        int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
            x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
        if (unlikely(bytes_copied == -1)) {
        } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
            goto raise_overflow;
        } else {
            ret = 0;
        }
#elif PY_VERSION_HEX < 0x030d0000 && !(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 *)x,
                                    bytes, sizeof(val),
                                    is_little, !is_unsigned);
#else
        PyObject *v;
        PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
        int bits, remaining_bits, is_negative = 0;
        int chunk_size = (sizeof(long) < 8) ? 30 : 62;
        if (likely(PyLong_CheckExact(x))) {
            v = __Pyx_NewRef(x);
        } else {
            v = PyNumber_Long(x);
            if (unlikely(!v)) return (long) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (long) -1;
            }
            is_negative = result == 1;
        }
        if (is_unsigned && unlikely(is_negative)) {
            Py_DECREF(v);
            goto raise_neg_overflow;
        } else if (is_negative) {
            stepval = PyNumber_Invert(v);
            Py_DECREF(v);
            if (unlikely(!stepval))
                return (long) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        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;
            long idigit;
            digit = PyNumber_And(stepval, mask);
            if (unlikely(!digit)) goto done;
            idigit = PyLong_AsLong(digit);
            Py_DECREF(digit);
            if (unlikely(idigit < 0)) goto done;
            val |= ((long) idigit) << bits;
            tmp = PyNumber_Rshift(stepval, shift);
            if (unlikely(!tmp)) goto done;
            Py_DECREF(stepval); stepval = tmp;
        }
        Py_DECREF(shift); shift = NULL;
        Py_DECREF(mask); mask = NULL;
        {
            long 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 (!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
        if (unlikely(ret))
            return (long) -1;
        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;
}

/* 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);
}
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);
    }
}
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);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        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

/* IterNextPlain */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void) {
    if (unlikely(!__pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache))
        __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache = __Pyx_GetBuiltinName(__pyx_mstate_global->__pyx_n_u_next);
    return __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator) {
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    PyObject *result;
    PyObject *next = __Pyx_GetBuiltinNext_LimitedAPI();
    if (unlikely(!next)) return NULL;
    result = PyObject_CallFunctionObjArgs(next, iterator, NULL);
    return result;
#else
    (void)__Pyx_GetBuiltinName; // only for early limited API
    iternextfunc iternext = __Pyx_PyObject_GetIterNextFunc(iterator);
    assert(iternext);
    return iternext(iterator);
#endif
}

/* ReturnWithStopIteration */
static void __Pyx__ReturnWithStopIteration(PyObject* value, int async);
static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext) {
    if (value == Py_None) {
        if (async || !iternext)
            PyErr_SetNone(async ? PyExc_StopAsyncIteration : PyExc_StopIteration);
        return;
    }
    __Pyx__ReturnWithStopIteration(value, async);
}
static void __Pyx__ReturnWithStopIteration(PyObject* value, int async) {
#if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_PyThreadState_declare
#endif
    PyObject *exc;
    PyObject *exc_type = async ? PyExc_StopAsyncIteration : PyExc_StopIteration;
#if CYTHON_COMPILING_IN_CPYTHON
    if ((PY_VERSION_HEX >= (0x030C00A6)) || unlikely(PyTuple_Check(value) || PyExceptionInstance_Check(value))) {
        if (PY_VERSION_HEX >= (0x030e00A1)) {
            exc = __Pyx_PyObject_CallOneArg(exc_type, value);
        } else {
            PyObject *args_tuple = PyTuple_New(1);
            if (unlikely(!args_tuple)) return;
            Py_INCREF(value);
            PyTuple_SET_ITEM(args_tuple, 0, value);
            exc = PyObject_Call(exc_type, args_tuple, NULL);
            Py_DECREF(args_tuple);
        }
        if (unlikely(!exc)) return;
    } else {
        Py_INCREF(value);
        exc = value;
    }
    #if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    #if CYTHON_USE_EXC_INFO_STACK
    if (!__pyx_tstate->exc_info->exc_value)
    #else
    if (!__pyx_tstate->exc_type)
    #endif
    {
        Py_INCREF(exc_type);
        __Pyx_ErrRestore(exc_type, exc, NULL);
        return;
    }
    #endif
#else
    exc = __Pyx_PyObject_CallOneArg(exc_type, value);
    if (unlikely(!exc)) return;
#endif
    PyErr_SetObject(exc_type, exc);
    Py_DECREF(exc);
}

/* CoroutineBase */
#if !CYTHON_COMPILING_IN_LIMITED_API
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6 && !defined(PYPY_VERSION)
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#endif // CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void
__Pyx_Coroutine_Undelegate(__pyx_CoroutineObject *gen) {
#if CYTHON_USE_AM_SEND
    gen->yieldfrom_am_send = NULL;
#endif
    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;
        }
        else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
            #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
            value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
            if (unlikely(!value)) goto limited_api_failure;
            #else
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            #endif
            Py_DECREF(ev);
        }
        else if (unlikely(PyTuple_Check(ev))) {
            Py_ssize_t tuple_size = __Pyx_PyTuple_GET_SIZE(ev);
            #if !CYTHON_ASSUME_SAFE_SIZE
            if (unlikely(tuple_size < 0)) {
                Py_XDECREF(tb);
                Py_DECREF(ev);
                Py_DECREF(et);
                return -1;
            }
            #endif
            if (tuple_size >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#elif CYTHON_ASSUME_SAFE_MACROS
                value = PySequence_ITEM(ev, 0);
#else
                value = PySequence_GetItem(ev, 0);
                if (!value) goto limited_api_failure;
#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 CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
#else
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
#endif
    Py_DECREF(ev);
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!value)) return -1;
#endif
    *pvalue = value;
    return 0;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL || !CYTHON_ASSUME_SAFE_MACROS
  limited_api_failure:
    Py_XDECREF(et);
    Py_XDECREF(tb);
    Py_XDECREF(ev);
    return -1;
#endif
}
static CYTHON_INLINE
__Pyx_PySendResult __Pyx_Coroutine_status_from_result(PyObject **retval) {
    if (*retval) {
        return PYGEN_NEXT;
    } else if (likely(__Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, retval) == 0)) {
        return PYGEN_RETURN;
    } else {
        return PYGEN_ERROR;
    }
}
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);
}
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(PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
__Pyx_PySendResult __Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, PyObject **result, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(__Pyx_Coroutine_get_is_running(self));  // Callers should ensure is_running
    if (unlikely(self->resume_label == -1)) {
        __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
        return PYGEN_ERROR;
    }
#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_LIMITED_API || 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
    retval = self->body(self, tstate, value);
#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
    *result = retval;
    if (self->resume_label == -1) {
        return likely(retval) ? PYGEN_RETURN : PYGEN_ERROR;
    }
    return PYGEN_NEXT;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    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
}
#define __Pyx_Coroutine_MethodReturnFromResult(gen, result, retval, iternext)\
    ((result) == PYGEN_NEXT ? (retval) : __Pyx__Coroutine_MethodReturnFromResult(gen, result, retval, iternext))
static PyObject *
__Pyx__Coroutine_MethodReturnFromResult(PyObject* gen, __Pyx_PySendResult result, PyObject *retval, int iternext) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if (likely(result == PYGEN_RETURN)) {
        int is_async = 0;
        #ifdef __Pyx_AsyncGen_USED
        is_async = __Pyx_AsyncGen_CheckExact(gen);
        #endif
        __Pyx_ReturnWithStopIteration(retval, is_async, iternext);
        Py_XDECREF(retval);
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON
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 {
#if PY_VERSION_HEX < 0x030d00A1
            _PyGen_SetStopIterationValue(result);
#else
            if (!PyTuple_Check(result) && !PyExceptionInstance_Check(result)) {
                PyErr_SetObject(PyExc_StopIteration, result);
            } else {
                PyObject *exc = __Pyx_PyObject_CallOneArg(PyExc_StopIteration, result);
                if (likely(exc != NULL)) {
                    PyErr_SetObject(PyExc_StopIteration, exc);
                    Py_DECREF(exc);
                }
            }
#endif
        }
        Py_DECREF(result);
        result = NULL;
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE __Pyx_PySendResult
__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen, PyObject** retval) {
    __Pyx_PySendResult result;
    PyObject *val = NULL;
    assert(__Pyx_Coroutine_get_is_running(gen));
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    result = __Pyx_Coroutine_SendEx(gen, val, retval, 0);
    Py_XDECREF(val);
    return result;
}
#if CYTHON_USE_AM_SEND
static __Pyx_PySendResult
__Pyx_Coroutine_SendToDelegate(__pyx_CoroutineObject *gen, __Pyx_pyiter_sendfunc gen_am_send, PyObject *value, PyObject **retval) {
    PyObject *ret = NULL;
    __Pyx_PySendResult delegate_result, result;
    assert(__Pyx_Coroutine_get_is_running(gen));
    delegate_result = gen_am_send(gen->yieldfrom, value, &ret);
    if (delegate_result == PYGEN_NEXT) {
        assert (ret != NULL);
        *retval = ret;
        return PYGEN_NEXT;
    }
    assert (delegate_result != PYGEN_ERROR || ret == NULL);
    __Pyx_Coroutine_Undelegate(gen);
    result = __Pyx_Coroutine_SendEx(gen, ret, retval, 0);
    Py_XDECREF(ret);
    return result;
}
#endif
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval = NULL;
    __Pyx_PySendResult result = __Pyx_Coroutine_AmSend(self, value, &retval);
    return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
}
static __Pyx_PySendResult
__Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval) {
    __Pyx_PySendResult result;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
        return PYGEN_ERROR;
    }
    #if CYTHON_USE_AM_SEND
    if (gen->yieldfrom_am_send) {
        result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, value, retval);
    } else
    #endif
    if (gen->yieldfrom) {
        PyObject *yf = gen->yieldfrom;
        PyObject *ret;
      #if !CYTHON_USE_AM_SEND
        #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
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
      #endif
        {
            #if !CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x03080000
            if (value == Py_None && PyIter_Check(yf))
                ret = __Pyx_PyIter_Next_Plain(yf);
            else
            #endif
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_mstate_global->__pyx_n_u_send, value);
        }
        if (likely(ret)) {
            __Pyx_Coroutine_unset_is_running(gen);
            *retval = ret;
            return PYGEN_NEXT;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, retval);
    } else {
        result = __Pyx_Coroutine_SendEx(gen, value, retval, 0);
    }
    __Pyx_Coroutine_unset_is_running(gen);
    return result;
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    __Pyx_PySendResult result;
    PyObject *retval = NULL;
    CYTHON_UNUSED_VAR(gen);
    assert(__Pyx_Coroutine_get_is_running(gen));
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        result = __Pyx_Coroutine_Close(yf, &retval);
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        result = __Pyx_Coroutine_Close(yf, &retval);
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        result = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf);
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
        result = PYGEN_RETURN;
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
        result = PYGEN_RETURN;
    } else
    #endif
    {
        PyObject *meth;
        result = PYGEN_RETURN;
        meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_mstate_global->__pyx_n_u_close);
        if (unlikely(!meth)) {
            if (unlikely(PyErr_Occurred())) {
                PyErr_WriteUnraisable(yf);
            }
        } else {
            retval = __Pyx_PyObject_CallNoArg(meth);
            Py_DECREF(meth);
            if (unlikely(!retval)) {
                result = PYGEN_ERROR;
            }
        }
    }
    Py_XDECREF(retval);
    return result == PYGEN_ERROR ? -1 : 0;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __Pyx_PySendResult result;
    PyObject *retval = NULL;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    }
    #if CYTHON_USE_AM_SEND
    if (gen->yieldfrom_am_send) {
        result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, Py_None, &retval);
    } else
    #endif
    if (gen->yieldfrom) {
        PyObject *yf = gen->yieldfrom;
        PyObject *ret;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && (PY_VERSION_HEX < 0x030A00A3 || !CYTHON_USE_AM_SEND)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
            ret = __Pyx_PyIter_Next_Plain(yf);
        if (likely(ret)) {
            __Pyx_Coroutine_unset_is_running(gen);
            return ret;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, &retval);
    } else {
        result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
    }
    __Pyx_Coroutine_unset_is_running(gen);
    return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 1);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
    PyObject *retval = NULL;
    __Pyx_PySendResult result;
    CYTHON_UNUSED_VAR(arg);
    result = __Pyx_Coroutine_Close(self, &retval);
    if (unlikely(result == PYGEN_ERROR))
        return NULL;
    Py_XDECREF(retval);
    Py_RETURN_NONE;
}
static __Pyx_PySendResult
__Pyx_Coroutine_Close(PyObject *self, PyObject **retval) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PySendResult result;
    PyObject *yf;
    int err = 0;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
        return PYGEN_ERROR;
    }
    yf = gen->yieldfrom;
    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);
    result = __Pyx_Coroutine_SendEx(gen, NULL, retval, 1);
    if (result == PYGEN_ERROR) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        __Pyx_Coroutine_unset_is_running(gen);
        if (!__Pyx_PyErr_Occurred()) {
            return PYGEN_RETURN;
        } else if (likely(__Pyx_PyErr_ExceptionMatches2(PyExc_GeneratorExit, PyExc_StopIteration))) {
            __Pyx_PyErr_Clear();
            return PYGEN_RETURN;
        }
        return PYGEN_ERROR;
    } else if (likely(result == PYGEN_RETURN && *retval == Py_None)) {
        __Pyx_Coroutine_unset_is_running(gen);
        return PYGEN_RETURN;
    } else {
        const char *msg;
        Py_DECREF(*retval);
        *retval = NULL;
        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)) {
            msg = "async generator ignored GeneratorExit";
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        __Pyx_Coroutine_unset_is_running(gen);
        return PYGEN_ERROR;
    }
}
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;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen)))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    yf = gen->yieldfrom;
    if (yf) {
        __Pyx_PySendResult result;
        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)
                goto propagate_exception;
            goto throw_here;
        }
        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_mstate_global->__pyx_n_u_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (unlikely(PyErr_Occurred())) {
                    __Pyx_Coroutine_unset_is_running(gen);
                    return NULL;
                }
                __Pyx_Coroutine_Undelegate(gen);
                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);
        }
        Py_DECREF(yf);
        if (ret) {
            __Pyx_Coroutine_unset_is_running(gen);
            return ret;
        }
        result = __Pyx_Coroutine_FinishDelegation(gen, &ret);
        __Pyx_Coroutine_unset_is_running(gen);
        return __Pyx_Coroutine_MethodReturnFromResult(self, result, ret, 0);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
propagate_exception:
    {
        PyObject *retval = NULL;
        __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, NULL, &retval, 0);
        __Pyx_Coroutine_unset_is_running(gen);
        return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
    }
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (unlikely(!PyArg_UnpackTuple(args, "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) {
    {
        int e = __Pyx_call_type_traverse((PyObject*)gen, 1, visit, arg);
        if (e) return e;
    }
    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);
    __Pyx_Coroutine_Undelegate(gen);
    __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 CYTHON_USE_TP_FINALIZE
        if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
#else
        {
            destructor del = __Pyx_PyObject_GetSlot(gen, tp_del, destructor);
            if (del) 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);
}
#if CYTHON_USE_TP_FINALIZE
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;
    }
    __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 (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *retval = NULL;
        __Pyx_PySendResult result = __Pyx_Coroutine_Close(self, &retval);
        if (result == PYGEN_ERROR) {
            PyErr_WriteUnraisable(self);
        } else {
            Py_XDECREF(retval);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
}
#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 (unlikely(value == NULL || !PyUnicode_Check(value))) {
        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 (unlikely(value == NULL || !PyUnicode_Check(value))) {
        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)
{
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyObject *frame;
    #if PY_VERSION_HEX >= 0x030d0000
    Py_BEGIN_CRITICAL_SECTION(self);
    #endif
    frame = self->gi_frame;
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        PyObject *globals = PyDict_New();
        if (unlikely(!globals)) return NULL;
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            globals,                        /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        Py_DECREF(globals);
        if (unlikely(!frame))
            return NULL;
        if (unlikely(self->gi_frame)) {
            Py_DECREF(frame);
            frame = self->gi_frame;
        } else {
            self->gi_frame = frame;
        }
    }
    Py_INCREF(frame);
    #if PY_VERSION_HEX >= 0x030d0000
    Py_END_CRITICAL_SECTION();
    #endif
    return frame;
#else
    CYTHON_UNUSED_VAR(self);
    Py_RETURN_NONE;
#endif
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context) {
    CYTHON_UNUSED_VAR(context);
    PyObject *frame = self->gi_frame;
    if (frame)
        return __Pyx_NewRef(frame);
    return __Pyx__Coroutine_get_frame(self);
}
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;
    gen->yieldfrom_am_send = NULL;
    #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_LIMITED_API
    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;
}
static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen) {
    char result;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_BEGIN_CRITICAL_SECTION(gen);
    #endif
    result = gen->is_running;
    gen->is_running = 1;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_END_CRITICAL_SECTION();
    #endif
    return result;
}
static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen) {
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_BEGIN_CRITICAL_SECTION(gen);
    #endif
    assert(gen->is_running);
    gen->is_running = 0;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_END_CRITICAL_SECTION();
    #endif
}
static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen) {
    char result;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_BEGIN_CRITICAL_SECTION(gen);
    #endif
    result = gen->is_running;
    #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_END_CRITICAL_SECTION();
    #endif
    return result;
}
static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure) {
    CYTHON_UNUSED_VAR(closure);
    char result = __Pyx_Coroutine_get_is_running((__pyx_CoroutineObject*)gen);
    if (result) Py_RETURN_TRUE;
    else Py_RETURN_FALSE;
}
#if __PYX_HAS_PY_AM_SEND == 2
static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send) {
    Py_ssize_t ptr_offset = (char*)(type->tp_as_async) - (char*)type;
    if (ptr_offset < 0 || ptr_offset > type->tp_basicsize) {
        return;
    }
    memcpy((void*)static_amsend_methods, (void*)(type->tp_as_async), sizeof(*type->tp_as_async));
    static_amsend_methods->am_send = am_send;
    type->tp_as_async = __Pyx_SlotTpAsAsync(static_amsend_methods);
}
#endif
static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    __Pyx_TypeName self_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE((PyObject*)self));
    PyErr_Format(PyExc_TypeError, "cannot pickle '" __Pyx_FMT_TYPENAME "' object",
                         self_type_name);
    __Pyx_DECREF_TypeName(self_type_name);
    return NULL;
}

/* Generator */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     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,
     PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {"__reduce_ex__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_O, 0},
    {"__reduce__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_NOARGS, 0},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {"gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     PyDoc_STR("object being iterated by 'yield from', or None")},
    {"gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {"__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {"__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     PyDoc_STR("name of the generator"), 0},
    {"__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     PyDoc_STR("qualified name of the generator"), 0},
    {"gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     PyDoc_STR("Frame of the generator"), 0},
    {"gi_running", __Pyx_Coroutine_get_is_running_getter, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
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 *) PyObject_GenericGetAttr},
#if CYTHON_USE_TP_FINALIZE
    {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    {Py_am_send, (void *)__Pyx_Coroutine_AmSend},
#endif
    {0, 0},
};
static PyType_Spec __pyx_GeneratorType_spec = {
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
#if PY_VERSION_HEX >= 0x030A0000
    Py_TPFLAGS_IMMUTABLETYPE |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE | __Pyx_TPFLAGS_HAVE_AM_SEND,
    __pyx_GeneratorType_slots
};
#if __PYX_HAS_PY_AM_SEND == 2
static __Pyx_PyAsyncMethodsStruct __pyx_Generator_as_async;
#endif
static int __pyx_Generator_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_GeneratorType_spec, NULL);
    if (unlikely(!mstate->__pyx_GeneratorType)) {
        return -1;
    }
#if __PYX_HAS_PY_AM_SEND == 2
    __Pyx_SetBackportTypeAmSend(mstate->__pyx_GeneratorType, &__pyx_Generator_as_async, &__Pyx_Coroutine_AmSend);
#endif
    return 0;
}
static PyObject *__Pyx_Generator_GetInlinedResult(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *retval = NULL;
    if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    }
    __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
    __Pyx_Coroutine_unset_is_running(gen);
    (void) result;
    assert (result == PYGEN_RETURN || result == PYGEN_ERROR);
    assert ((result == PYGEN_RETURN && retval != NULL) || (result == PYGEN_ERROR && retval == NULL));
    return retval;
}

/* GetRuntimeVersion */
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    return Py_Version & ~0xFFUL;
#else
    static unsigned long __Pyx_cached_runtime_version = 0;
    if (__Pyx_cached_runtime_version == 0) {
        const char* rt_version = Py_GetVersion();
        unsigned long version = 0;
        unsigned long factor = 0x01000000UL;
        unsigned int digit = 0;
        int i = 0;
        while (factor) {
            while ('0' <= rt_version[i] && rt_version[i] <= '9') {
                digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
                ++i;
            }
            version += factor * digit;
            if (rt_version[i] != '.')
                break;
            digit = 0;
            factor >>= 8;
            ++i;
        }
        __Pyx_cached_runtime_version = version;
    }
    return __Pyx_cached_runtime_version;
#endif
}

/* CheckBinaryVersion */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* NewCodeObj */
#if CYTHON_COMPILING_IN_LIMITED_API
    static PyObject* __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 *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
        PyObject *version_info;
        PyObject *py_minor_version = NULL;
        #endif
        long minor_version = 0;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
        minor_version = 11;
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        Py_DECREF(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOOOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
#elif PY_VERSION_HEX >= 0x030B0000
  static 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) {
    PyCodeObject *result;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, __pyx_mstate_global->__pyx_empty_bytes);
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030c00A1
    if (likely(result))
        result->_co_firsttraceable = 0;
    #endif
    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
static PyObject* __Pyx_PyCode_New(
        const __Pyx_PyCode_New_function_description descr,
        PyObject * const *varnames,
        PyObject *filename,
        PyObject *funcname,
        const char *line_table,
        PyObject *tuple_dedup_map
) {
    PyObject *code_obj = NULL, *varnames_tuple_dedup = NULL, *code_bytes = NULL, *line_table_bytes = NULL;
    Py_ssize_t var_count = (Py_ssize_t) descr.nlocals;
    PyObject *varnames_tuple = PyTuple_New(var_count);
    if (unlikely(!varnames_tuple)) return NULL;
    for (Py_ssize_t i=0; i < var_count; i++) {
        Py_INCREF(varnames[i]);
        if (__Pyx_PyTuple_SET_ITEM(varnames_tuple, i, varnames[i]) != (0)) goto done;
    }
    #if CYTHON_COMPILING_IN_LIMITED_API
    varnames_tuple_dedup = PyDict_GetItem(tuple_dedup_map, varnames_tuple);
    if (!varnames_tuple_dedup) {
        if (unlikely(PyDict_SetItem(tuple_dedup_map, varnames_tuple, varnames_tuple) < 0)) goto done;
        varnames_tuple_dedup = varnames_tuple;
    }
    #else
    varnames_tuple_dedup = PyDict_SetDefault(tuple_dedup_map, varnames_tuple, varnames_tuple);
    if (unlikely(!varnames_tuple_dedup)) goto done;
    #endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(varnames_tuple_dedup);
    #endif
    if (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table != NULL
        && !CYTHON_COMPILING_IN_GRAAL) {
        line_table_bytes = PyBytes_FromStringAndSize(line_table, descr.line_table_length);
        if (unlikely(!line_table_bytes)) goto done;
        Py_ssize_t code_len = (descr.line_table_length * 2 + 4) & ~3;
        code_bytes = PyBytes_FromStringAndSize(NULL, code_len);
        if (unlikely(!code_bytes)) goto done;
        char* c_code_bytes = PyBytes_AsString(code_bytes);
        if (unlikely(!c_code_bytes)) goto done;
        memset(c_code_bytes, 0, (size_t) code_len);
    }
    code_obj = (PyObject*) __Pyx__PyCode_New(
        (int) descr.argcount,
        (int) descr.num_posonly_args,
        (int) descr.num_kwonly_args,
        (int) descr.nlocals,
        0,
        (int) descr.flags,
        code_bytes ? code_bytes : __pyx_mstate_global->__pyx_empty_bytes,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        varnames_tuple_dedup,
        __pyx_mstate_global->__pyx_empty_tuple,
        __pyx_mstate_global->__pyx_empty_tuple,
        filename,
        funcname,
        (int) descr.first_line,
        (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table_bytes) ? line_table_bytes : __pyx_mstate_global->__pyx_empty_bytes
    );
done:
    Py_XDECREF(code_bytes);
    Py_XDECREF(line_table_bytes);
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(varnames_tuple_dedup);
    #endif
    Py_DECREF(varnames_tuple);
    return code_obj;
}

/* InitStrings */
static int __Pyx_InitStrings(__Pyx_StringTabEntry const *t, PyObject **target, const char* const* encoding_names) {
    while (t->s) {
        PyObject *str;
        if (t->is_unicode) {
            if (t->intern) {
                str = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                str = PyUnicode_Decode(t->s, t->n - 1, encoding_names[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;
        *target = str;
        if (PyObject_Hash(str) == -1)
            return -1;
        ++t;
        ++target;
    }
    return 0;
}

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
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_UTF8
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    {
        const char* result;
        Py_ssize_t unicode_length;
        CYTHON_MAYBE_UNUSED_VAR(unicode_length); // only for __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (unlikely(PyArg_Parse(o, "s#", &result, length) < 0)) return NULL;
        #else
        result = PyUnicode_AsUTF8AndSize(o, length);
        #endif
        #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        unicode_length = PyUnicode_GetLength(o);
        if (unlikely(unicode_length < 0)) return NULL;
        if (unlikely(unicode_length != *length)) {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
        #endif
        return result;
    }
#else
#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_UTF8
    if (PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
    if (PyByteArray_Check(o)) {
#if (CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) || (CYTHON_COMPILING_IN_PYPY && (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)))
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
#else
        *length = PyByteArray_Size(o);
        if (*length == -1) return NULL;
        return PyByteArray_AsString(o);
#endif
    } else
    {
        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_LongWrongResultType(PyObject* result) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(result));
    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;
    }
    PyErr_Format(PyExc_TypeError,
                 "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ")",
                 result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  PyObject *res = NULL;
  if (likely(PyLong_Check(x)))
      return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  if (likely(m && m->nb_int)) {
      res = m->nb_int(x);
  }
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Long(x);
  }
#endif
  if (likely(res)) {
      if (unlikely(!PyLong_CheckExact(res))) {
          return __Pyx_PyNumber_LongWrongResultType(res);
      }
  }
  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 (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 = PyLong_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);
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyLong_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b) {
    CYTHON_UNUSED_VAR(b);
    return __Pyx_NewRef(Py_None);
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t ival) {
    return PyLong_FromSize_t(ival);
}
#if CYTHON_USE_PYLONG_INTERNALS
static CYTHON_INLINE int __Pyx_PyLong_CompactAsLong(PyObject *x, long *return_value) {
    if (unlikely(!__Pyx_PyLong_IsCompact(x)))
        return 0;
    Py_ssize_t value = __Pyx_PyLong_CompactValue(x);
    if ((sizeof(long) < sizeof(Py_ssize_t)) && unlikely(value != (long) value))
        return 0;
    *return_value = (long) value;
    return 1;
}
#endif


/* MultiPhaseInitModuleState */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
#ifndef CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX >= 0x030C0000)
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 1
#else
  #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 0
#endif
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE && !CYTHON_ATOMICS
#error "Module state with PEP489 requires atomics. Currently that's one of\
 C11, C++11, gcc atomic intrinsics or MSVC atomic intrinsics"
#endif
#if !CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
#define __Pyx_ModuleStateLookup_Lock()
#define __Pyx_ModuleStateLookup_Unlock()
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
static PyMutex __Pyx_ModuleStateLookup_mutex = {0};
#define __Pyx_ModuleStateLookup_Lock() PyMutex_Lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() PyMutex_Unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(__cplusplus) && __cplusplus >= 201103L
#include <mutex>
static std::mutex __Pyx_ModuleStateLookup_mutex;
#define __Pyx_ModuleStateLookup_Lock() __Pyx_ModuleStateLookup_mutex.lock()
#define __Pyx_ModuleStateLookup_Unlock() __Pyx_ModuleStateLookup_mutex.unlock()
#elif defined(__STDC_VERSION__) && (__STDC_VERSION__ > 201112L) && !defined(__STDC_NO_THREADS__)
#include <threads.h>
static mtx_t __Pyx_ModuleStateLookup_mutex;
static once_flag __Pyx_ModuleStateLookup_mutex_once_flag = ONCE_FLAG_INIT;
static void __Pyx_ModuleStateLookup_initialize_mutex(void) {
    mtx_init(&__Pyx_ModuleStateLookup_mutex, mtx_plain);
}
#define __Pyx_ModuleStateLookup_Lock()\
  call_once(&__Pyx_ModuleStateLookup_mutex_once_flag, __Pyx_ModuleStateLookup_initialize_mutex);\
  mtx_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() mtx_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(HAVE_PTHREAD_H)
#include <pthread.h>
static pthread_mutex_t __Pyx_ModuleStateLookup_mutex = PTHREAD_MUTEX_INITIALIZER;
#define __Pyx_ModuleStateLookup_Lock() pthread_mutex_lock(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() pthread_mutex_unlock(&__Pyx_ModuleStateLookup_mutex)
#elif defined(_WIN32)
#include <Windows.h>  // synchapi.h on its own doesn't work
static SRWLOCK __Pyx_ModuleStateLookup_mutex = SRWLOCK_INIT;
#define __Pyx_ModuleStateLookup_Lock() AcquireSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#define __Pyx_ModuleStateLookup_Unlock() ReleaseSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
#else
#error "No suitable lock available for CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE.\
 Requires C standard >= C11, or C++ standard >= C++11,\
 or pthreads, or the Windows 32 API, or Python >= 3.13."
#endif
typedef struct {
    int64_t id;
    PyObject *module;
} __Pyx_InterpreterIdAndModule;
typedef struct {
    char interpreter_id_as_index;
    Py_ssize_t count;
    Py_ssize_t allocated;
    __Pyx_InterpreterIdAndModule table[1];
} __Pyx_ModuleStateLookupData;
#define __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE 32
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_int_type __Pyx_ModuleStateLookup_read_counter = 0;
#endif
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static __pyx_atomic_ptr_type __Pyx_ModuleStateLookup_data = 0;
#else
static __Pyx_ModuleStateLookupData* __Pyx_ModuleStateLookup_data = NULL;
#endif
static __Pyx_InterpreterIdAndModule* __Pyx_State_FindModuleStateLookupTableLowerBound(
        __Pyx_InterpreterIdAndModule* table,
        Py_ssize_t count,
        int64_t interpreterId) {
    __Pyx_InterpreterIdAndModule* begin = table;
    __Pyx_InterpreterIdAndModule* end = begin + count;
    if (begin->id == interpreterId) {
        return begin;
    }
    while ((end - begin) > __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
        __Pyx_InterpreterIdAndModule* halfway = begin + (end - begin)/2;
        if (halfway->id == interpreterId) {
            return halfway;
        }
        if (halfway->id < interpreterId) {
            begin = halfway;
        } else {
            end = halfway;
        }
    }
    for (; begin < end; ++begin) {
        if (begin->id >= interpreterId) return begin;
    }
    return begin;
}
static PyObject *__Pyx_State_FindModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return NULL;
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData* data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
    {
        __pyx_atomic_incr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        if (likely(data)) {
            __Pyx_ModuleStateLookupData* new_data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_acquire(&__Pyx_ModuleStateLookup_data);
            if (likely(data == new_data)) {
                goto read_finished;
            }
        }
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
        __Pyx_ModuleStateLookup_Lock();
        __pyx_atomic_incr_relaxed(&__Pyx_ModuleStateLookup_read_counter);
        data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
        __Pyx_ModuleStateLookup_Unlock();
    }
  read_finished:;
#else
    __Pyx_ModuleStateLookupData* data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_InterpreterIdAndModule* found = NULL;
    if (unlikely(!data)) goto end;
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            found = data->table+interpreter_id;
        }
    } else {
        found = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
    }
  end:
    {
        PyObject *result=NULL;
        if (found && found->id == interpreter_id) {
            result = found->module;
        }
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
        __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
#endif
        return result;
    }
}
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
static void __Pyx_ModuleStateLookup_wait_until_no_readers(void) {
    while (__pyx_atomic_load(&__Pyx_ModuleStateLookup_read_counter) != 0);
}
#else
#define __Pyx_ModuleStateLookup_wait_until_no_readers()
#endif
static int __Pyx_State_AddModuleInterpIdAsIndex(__Pyx_ModuleStateLookupData **old_data, PyObject* module, int64_t interpreter_id) {
    Py_ssize_t to_allocate = (*old_data)->allocated;
    while (to_allocate <= interpreter_id) {
        if (to_allocate == 0) to_allocate = 1;
        else to_allocate *= 2;
    }
    __Pyx_ModuleStateLookupData *new_data = *old_data;
    if (to_allocate != (*old_data)->allocated) {
         new_data = (__Pyx_ModuleStateLookupData *)realloc(
            *old_data,
            sizeof(__Pyx_ModuleStateLookupData)+(to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
        if (!new_data) {
            PyErr_NoMemory();
            return -1;
        }
        for (Py_ssize_t i = new_data->allocated; i < to_allocate; ++i) {
            new_data->table[i].id = i;
            new_data->table[i].module = NULL;
        }
        new_data->allocated = to_allocate;
    }
    new_data->table[interpreter_id].module = module;
    if (new_data->count < interpreter_id+1) {
        new_data->count = interpreter_id+1;
    }
    *old_data = new_data;
    return 0;
}
static void __Pyx_State_ConvertFromInterpIdAsIndex(__Pyx_ModuleStateLookupData *data) {
    __Pyx_InterpreterIdAndModule *read = data->table;
    __Pyx_InterpreterIdAndModule *write = data->table;
    __Pyx_InterpreterIdAndModule *end = read + data->count;
    for (; read<end; ++read) {
        if (read->module) {
            write->id = read->id;
            write->module = read->module;
            ++write;
        }
    }
    data->count = write - data->table;
    for (; write<end; ++write) {
        write->id = 0;
        write->module = NULL;
    }
    data->interpreter_id_as_index = 0;
}
static int __Pyx_State_AddModule(PyObject* module, CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    int result = 0;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *old_data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *old_data = __Pyx_ModuleStateLookup_data;
#endif
    __Pyx_ModuleStateLookupData *new_data = old_data;
    if (!new_data) {
        new_data = (__Pyx_ModuleStateLookupData *)calloc(1, sizeof(__Pyx_ModuleStateLookupData));
        if (!new_data) {
            result = -1;
            PyErr_NoMemory();
            goto end;
        }
        new_data->allocated = 1;
        new_data->interpreter_id_as_index = 1;
    }
    __Pyx_ModuleStateLookup_wait_until_no_readers();
    if (new_data->interpreter_id_as_index) {
        if (interpreter_id < __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
            result = __Pyx_State_AddModuleInterpIdAsIndex(&new_data, module, interpreter_id);
            goto end;
        }
        __Pyx_State_ConvertFromInterpIdAsIndex(new_data);
    }
    {
        Py_ssize_t insert_at = 0;
        {
            __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
                new_data->table, new_data->count, interpreter_id);
            assert(lower_bound);
            insert_at = lower_bound - new_data->table;
            if (unlikely(insert_at < new_data->count && lower_bound->id == interpreter_id)) {
                lower_bound->module = module;
                goto end;  // already in table, nothing more to do
            }
        }
        if (new_data->count+1 >= new_data->allocated) {
            Py_ssize_t to_allocate = (new_data->count+1)*2;
            new_data =
                (__Pyx_ModuleStateLookupData*)realloc(
                    new_data,
                    sizeof(__Pyx_ModuleStateLookupData) +
                    (to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
            if (!new_data) {
                result = -1;
                new_data = old_data;
                PyErr_NoMemory();
                goto end;
            }
            new_data->allocated = to_allocate;
        }
        ++new_data->count;
        int64_t last_id = interpreter_id;
        PyObject *last_module = module;
        for (Py_ssize_t i=insert_at; i<new_data->count; ++i) {
            int64_t current_id = new_data->table[i].id;
            new_data->table[i].id = last_id;
            last_id = current_id;
            PyObject *current_module = new_data->table[i].module;
            new_data->table[i].module = last_module;
            last_module = current_module;
        }
    }
  end:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, new_data);
#else
    __Pyx_ModuleStateLookup_data = new_data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return result;
}
static int __Pyx_State_RemoveModule(CYTHON_UNUSED void* dummy) {
    int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
    if (interpreter_id == -1) return -1;
    __Pyx_ModuleStateLookup_Lock();
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __Pyx_ModuleStateLookupData *data = (__Pyx_ModuleStateLookupData *)
            __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
#else
    __Pyx_ModuleStateLookupData *data = __Pyx_ModuleStateLookup_data;
#endif
    if (data->interpreter_id_as_index) {
        if (interpreter_id < data->count) {
            data->table[interpreter_id].module = NULL;
        }
        goto done;
    }
    {
        __Pyx_ModuleStateLookup_wait_until_no_readers();
        __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
            data->table, data->count, interpreter_id);
        if (!lower_bound) goto done;
        if (lower_bound->id != interpreter_id) goto done;
        __Pyx_InterpreterIdAndModule *end = data->table+data->count;
        for (;lower_bound<end-1; ++lower_bound) {
            lower_bound->id = (lower_bound+1)->id;
            lower_bound->module = (lower_bound+1)->module;
        }
    }
    --data->count;
    if (data->count == 0) {
        free(data);
        data = NULL;
    }
  done:
#if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
    __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, data);
#else
    __Pyx_ModuleStateLookup_data = data;
#endif
    __Pyx_ModuleStateLookup_Unlock();
    return 0;
}
#endif

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



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