/* Generated by Cython 3.0.0a9 */

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

#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.7+ or Python 3.3+.
#else
#define CYTHON_ABI "3_0_0a9"
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
#define CYTHON_HEX_VERSION 0x030000A9
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #define HAVE_LONG_LONG
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
#elif defined(CYTHON_LIMITED_API)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 1
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 1
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #ifndef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL (PY_MAJOR_VERSION < 3 || PY_VERSION_HEX >= 0x03060000)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #if PY_VERSION_HEX < 0x030400a1
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #elif !defined(CYTHON_USE_TP_FINALIZE)
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #if PY_VERSION_HEX < 0x030600B1
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
    #define CYTHON_USE_DICT_VERSIONS 1
  #endif
  #if PY_VERSION_HEX < 0x030700A3
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if !defined(CYTHON_VECTORCALL)
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
#endif
#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
            typedef unsigned char     uint8_t;
            typedef unsigned short    uint16_t;
            typedef unsigned int      uint32_t;
        #else
            typedef unsigned __int8   uint8_t;
            typedef unsigned __int16  uint16_t;
            typedef unsigned __int32  uint32_t;
        #endif
    #endif
    #if _MSC_VER < 1300
        #ifdef _WIN64
            typedef unsigned long long  __pyx_uintptr_t;
        #else
            typedef unsigned int        __pyx_uintptr_t;
        #endif
    #else
        #ifdef _WIN64
            typedef unsigned __int64    __pyx_uintptr_t;
        #else
            typedef unsigned __int32    __pyx_uintptr_t;
        #endif
    #endif
#else
    #include <stdint.h>
    typedef uintptr_t  __pyx_uintptr_t;
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus) && __cplusplus >= 201103L
    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
    #elif __has_cpp_attribute(clang::fallthrough)
      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
    #elif __has_cpp_attribute(gnu::fallthrough)
      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__ ) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif

#ifndef __cplusplus
  #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
#endif
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #else
    #define CYTHON_INLINE inline
  #endif
#endif
template<typename T>
void __Pyx_call_destructor(T& x) {
    x.~T();
}
template<typename T>
class __Pyx_FakeReference {
  public:
    __Pyx_FakeReference() : ptr(NULL) { }
    __Pyx_FakeReference(const T& ref) : ptr(const_cast<T*>(&ref)) { }
    T *operator->() { return ptr; }
    T *operator&() { return ptr; }
    operator T&() { return *ptr; }
    template<typename U> bool operator ==(U other) { return *ptr == other; }
    template<typename U> bool operator !=(U other) { return *ptr != other; }
  private:
    T *ptr;
};

#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
#endif
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_DefaultClassType PyClass_Type
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if PY_VERSION_HEX >= 0x030800B2
  #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)
#elif PY_VERSION_HEX >= 0x030800A4
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
#endif
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#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 METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_VERSION_HEX < 0x030900B1
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
  #define PyMem_RawFree(p)             PyMem_Free(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void *__Pyx_PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B4 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE(obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #if defined(PyUnicode_IS_READY)
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #else
  #define __Pyx_PyUnicode_READY(op)       (0)
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
  #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
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         ((int)sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef PyUnicode_Contains
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__cpp_string_metric
#define __PYX_HAVE_API__cpp_string_metric
/* Early includes */
#include <stdint.h>
#include <string.h>
#include <stdlib.h>
#include <stddef.h>
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <utility>

    #if __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600)
    // move should be defined for these versions of MSVC, but __cplusplus isn't set usefully
    #include <type_traits>

    namespace cython_std {
    template <typename T> typename std::remove_reference<T>::type&& move(T& t) noexcept { return std::move(t); }
    template <typename T> typename std::remove_reference<T>::type&& move(T&& t) noexcept { return std::move(t); }
    }

    #endif
    
#include "cpp_common.hpp"
#include <vector>
#include <stdio.h>
#include "cpp_scorer.hpp"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#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)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#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_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const wchar_t *u)
{
    const wchar_t *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
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#define __Pyx_Py_XDECREF_SET(r, v) do {\
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#define __Pyx_DECREF_SET(r, v) do {\
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#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
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#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
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/* PyThreadStateGet.proto */
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#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
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#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
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#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
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#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
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static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
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#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_Clear() PyErr_Clear()
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#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
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#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
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/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

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

/* Profile.proto */
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#if CYTHON_TRACE
  #undef CYTHON_PROFILE_REUSE_FRAME
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#ifndef CYTHON_PROFILE_REUSE_FRAME
  #define CYTHON_PROFILE_REUSE_FRAME 0
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#if CYTHON_PROFILE || CYTHON_TRACE
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
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    #define CYTHON_FRAME_MODIFIER static
    #define CYTHON_FRAME_DEL(frame)
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    #define CYTHON_FRAME_MODIFIER
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  #define __Pyx_TraceDeclarations\
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      CYTHON_FRAME_MODIFIER PyFrameObject *__pyx_frame = NULL;\
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  #define __Pyx_TraceFrameInit(codeobj)\
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  #define __Pyx_SetTracing(tstate, enable)\
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  #define __Pyx_SetTracing(tstate, enable)\
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          PyGILState_Release(state);\
          if (unlikely(__Pyx_use_tracing < 0)) goto_error;\
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  #define __Pyx_TraceCall(funcname, srcfile, firstlineno, nogil, goto_error)\
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  #endif
  #define __Pyx_TraceException()\
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      PyThreadState* tstate = __Pyx_PyThreadState_Current;\
      if (__Pyx_IsTracing(tstate, 0, 1)) {\
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          if (exc_info) {\
              if (CYTHON_TRACE && tstate->c_tracefunc)\
                  tstate->c_tracefunc(\
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              tstate->c_profilefunc(\
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              Py_DECREF(exc_info);\
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          __Pyx_SetTracing(tstate, 1);\
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  #define __Pyx_TraceReturn(result, nogil)\
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  #define __Pyx_TraceDeclarations
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#if CYTHON_TRACE
  static int __Pyx_call_line_trace_func(PyThreadState *tstate, PyFrameObject *frame, int lineno) {
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  #define __Pyx_TraceLine(lineno, nogil, goto_error)\
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      if (__Pyx_IsTracing(tstate, 0, 0) && tstate->c_tracefunc && __pyx_frame->f_trace) {\
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#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
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#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
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static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
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#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
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/* GetModuleGlobalName.proto */
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#define __Pyx_GetModuleGlobalName(var, name)  {\
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#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
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    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
}
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* MoveIfSupported.proto */
#if __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600)
  #include <utility>
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) std::move(x)
#else
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) x
#endif

/* TupleAndListFromArray.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
#endif

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

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

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

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

/* RaiseArgTupleInvalid.proto */
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);

/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywords.proto */
static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,
    const char* function_name);

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

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

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

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

/* CallableCheck.proto */
#if CYTHON_USE_TYPE_SLOTS && PY_MAJOR_VERSION >= 3
#define __Pyx_PyCallable_Check(obj)   (Py_TYPE(obj)->tp_call != NULL)
#else
#define __Pyx_PyCallable_Check(obj)   PyCallable_Check(obj)
#endif

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#if !CYTHON_VECTORCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
#endif
#define __Pyx_BUILD_ASSERT_EXPR(cond)\
    (sizeof(char [1 - 2*!(cond)]) - 1)
#ifndef Py_MEMBER_SIZE
#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
#endif
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()\
    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
  #define __Pyx_PyFrame_GetLocalsplus(frame)\
    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
#endif

/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectFastCall.proto */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs);

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

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

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

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

/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* 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

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

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

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

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

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

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

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

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

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

/* FixUpExtensionType.proto */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);
#endif

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

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

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

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

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

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

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

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

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif

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

/* PyMethodNew.proto */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#else
    #define __Pyx_PyMethod_New PyMethod_New
#endif

/* PyVectorcallFastCallDict.proto */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
#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
  #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 PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_BACKPORT_VECTORCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if PY_VERSION_HEX < 0x030500A0
    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
    PyObject *func_classobj;
#endif
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#if !CYTHON_USE_MODULE_STATE
static PyTypeObject *__pyx_CyFunctionType = 0;
#endif
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_CyFunctionType)
#define __Pyx_IsCyOrPyCFunction(obj)  __Pyx_TypeCheck2(obj, __pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_CyFunctionType)
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(PyObject *module);
#if CYTHON_METH_FASTCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#if CYTHON_BACKPORT_VECTORCALL
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

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

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

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#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

/* SetNewInClass.proto */
static int __Pyx_SetNewInClass(PyObject *ns, PyObject *name, PyObject *value);

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

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

/* 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

/* 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);

/* Globals.proto */
static PyObject* __Pyx_Globals(void);

/* DictGetItem.proto */
#if PY_MAJOR_VERSION >= 3 && !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

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

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

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

/* EnumClassDecl.proto */
#if defined (_MSC_VER)
  #if PY_VERSION_HEX >= 0x03040000 && PY_VERSION_HEX < 0x03050000
    #define __PYX_ENUM_CLASS_DECL
  #else
    #define __PYX_ENUM_CLASS_DECL
  #endif
#else
  #define __PYX_ENUM_CLASS_DECL enum
#endif

/* CppExceptionConversion.proto */
#ifndef __Pyx_CppExn2PyErr
#include <new>
#include <typeinfo>
#include <stdexcept>
#include <ios>
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static const char __pyx_k_Calculates_a_normalized_levensh[] = "\n    Calculates a normalized levenshtein distance using custom\n    costs for insertion, deletion and substitution.\n\n    Parameters\n    ----------\n    s1 : Sequence[Hashable]\n        First string to compare.\n    s2 : Sequence[Hashable]\n        Second string to compare.\n    weights : Tuple[int, int, int] or None, optional\n        The weights for the three operations in the form\n        (insertion, deletion, substitution). Default is (1, 1, 1),\n        which gives all three operations a weight of 1.\n    processor: bool or callable, optional\n        Optional callable that is used to preprocess the strings before\n        comparing them. When processor is True ``utils.default_process``\n        is used. Default is None, which deactivates this behaviour.\n    score_cutoff : float, optional\n        Optional argument for a score threshold as a float between 0 and 100.\n        For ratio < score_cutoff 0 is returned instead. Default is 0,\n        which deactivates this behaviour.\n\n    Returns\n    -------\n    similarity : float\n        similarity between s1 and s2 as a float between 0 and 100\n\n    Raises\n    ------\n    ValueError\n        If unsupported weights are provided a ValueError is thrown\n\n    See Also\n    --------\n    levenshtein : Levenshtein distance\n\n    Notes\n    -----\n    The normalization of the Levenshtein distance is performed in the following way:\n\n    .. math::\n      :nowrap:\n\n      \\begin{align*}\n        dist_{max} &= \\begin{cases}\n          min(len(s1), len(s2)) \\cdot sub,       & \\text{if } sub \\leq ins + del \\\\\n          len(s1) \\cdot del + len(s2) \\cdot ins, & \\text{otherwise}\n        \\end{cases}\\\\[10pt]\n\n        dist_{max} &= \\begin{cases}\n          dist_{max} + (len(s1) - len(s2)) \\cdot del, & \\text{if } len(s1) > len(s2) \\\\\n          dist_{max} + (len(s2) - len(s1)) \\cdot ins, & \\text{if } len(s1) < len(s2) \\\\\n          dist_{max},                                 & \\text{if } len""(s1) = len(s2)\n        \\end{cases}\\\\[10pt]\n\n        ratio &= 100 \\cdot \\frac{distance(s1, s2)}{dist_{max}}\n      \\end{align*}\n\n    Examples\n    --------\n    Find the normalized Levenshtein distance between two strings:\n\n    >>> from rapidfuzz.string_metric import normalized_levenshtein\n    >>> normalized_levenshtein(\"lewenstein\", \"levenshtein\")\n    81.81818181818181\n\n    Setting a score_cutoff allows the implementation to select\n    a more efficient implementation:\n\n    >>> normalized_levenshtein(\"lewenstein\", \"levenshtein\", score_cutoff=85)\n    0.0\n\n    It is possible to select different weights by passing a `weight`\n    tuple.\n\n    >>> normalized_levenshtein(\"lewenstein\", \"levenshtein\", weights=(1,1,2))\n    85.71428571428571\n\n     When a different processor is used s1 and s2 do not have to be strings\n\n    >>> normalized_levenshtein([\"lewenstein\"], [\"levenshtein\"], processor=lambda s: s[0])\n    81.81818181818181\n    ";
static const char __pyx_k_Calculates_the_minimum_number_o[] = "\n    Calculates the minimum number of insertions, deletions, and substitutions\n    required to change one sequence into the other according to Levenshtein with custom\n    costs for insertion, deletion and substitution\n\n    Parameters\n    ----------\n    s1 : Sequence[Hashable]\n        First string to compare.\n    s2 : Sequence[Hashable]\n        Second string to compare.\n    weights : Tuple[int, int, int] or None, optional\n        The weights for the three operations in the form\n        (insertion, deletion, substitution). Default is (1, 1, 1),\n        which gives all three operations a weight of 1.\n    processor: bool or callable, optional\n        Optional callable that is used to preprocess the strings before\n        comparing them. When processor is True ``utils.default_process``\n        is used. Default is None, which deactivates this behaviour.\n    max : int or None, optional\n        Maximum distance between s1 and s2, that is\n        considered as a result. If the distance is bigger than max,\n        -1 is returned instead. Default is None, which deactivates\n        this behaviour.\n\n    Returns\n    -------\n    distance : int\n        distance between s1 and s2\n\n    Raises\n    ------\n    ValueError\n        If unsupported weights are provided a ValueError is thrown\n\n    Notes\n    -----\n    Depending on the input parameters different optimized implementation are used\n    to improve the performance.\n\n    Insertion = Deletion = Substitution:\n      This is known as uniform Levenshtein distance and is the distance most commonly\n      referred to as Levenshtein distance. The following implementation is used\n      with a worst-case performance of ``O([N/64]M)``.\n\n      - if max is 0 the similarity can be calculated using a direct comparision,\n        since no difference between the strings is allowed.  The time complexity of\n        this algorithm is ``O(N)``.\n\n      - A common prefix/suffix of the two compared strings does"" not affect\n        the Levenshtein distance, so the affix is removed before calculating the\n        similarity.\n\n      - If max is \342\211\244 3 the mbleven algorithm is used. This algorithm\n        checks all possible edit operations that are possible under\n        the threshold `max`. The time complexity of this algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\244 64 after removing the common affix\n        Hyyr\303\266s' algorithm is used, which calculates the Levenshtein distance in\n        parallel. The algorithm is described by [1]_. The time complexity of this\n        algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\245 64 after removing the common affix\n        a blockwise implementation of Myers' algorithm is used, which calculates\n        the Levenshtein distance in parallel (64 characters at a time).\n        The algorithm is described by [3]_. The time complexity of this\n        algorithm is ``O([N/64]M)``.\n\n    The following image shows a benchmark of the Levenshtein distance in multiple\n    Python libraries. All of them are implemented either in C/C++ or Cython.\n    The graph shows, that python-Levenshtein is the only library with a time\n    complexity of ``O(NM)``, while all other libraries have a time complexity of\n    ``O([N/64]M)``. Especially for long strings RapidFuzz is a lot faster than\n    all the other tested libraries.\n\n    .. image:: img/uniform_levenshtein.svg\n\n\n    Insertion = Deletion, Substitution >= Insertion + Deletion:\n      Since every Substitution can be performed as Insertion + Deletion, this variant\n      of the Levenshtein distance only uses Insertions and Deletions. Therefore this\n      variant is often referred to as InDel-Distance.  The following implementation\n      is used with a worst-case performance of ``O([N/64]M)``.\n\n      - if max is 0 the similarity can be calculated using a direct comparision,\n        since no differenc""e between the strings is allowed.  The time complexity of\n        this algorithm is ``O(N)``.\n\n      - if max is 1 and the two strings have a similar length, the similarity can be\n        calculated using a direct comparision aswell, since a substitution would cause\n        a edit distance higher than max. The time complexity of this algorithm\n        is ``O(N)``.\n\n      - A common prefix/suffix of the two compared strings does not affect\n        the Levenshtein distance, so the affix is removed before calculating the\n        similarity.\n\n      - If max is \342\211\244 4 the mbleven algorithm is used. This algorithm\n        checks all possible edit operations that are possible under\n        the threshold `max`. As a difference to the normal Levenshtein distance this\n        algorithm can even be used up to a threshold of 4 here, since the higher weight\n        of substitutions decreases the amount of possible edit operations.\n        The time complexity of this algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\244 64 after removing the common affix\n        Hyyr\303\266s' lcs algorithm is used, which calculates the InDel distance in\n        parallel. The algorithm is described by [4]_ and is extended with support\n        for UTF32 in this implementation. The time complexity of this\n        algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\245 64 after removing the common affix\n        a blockwise implementation of the Hyyr\303\266s' lcs algorithm is used, which calculates\n        the Levenshtein distance in parallel (64 characters at a time).\n        The algorithm is described by [4]_. The time complexity of this\n        algorithm is ``O([N/64]M)``.\n\n    The following image shows a benchmark of the InDel distance in RapidFuzz\n    and python-Levenshtein. Similar to the normal Levenshtein distance\n    python-Levenshtein uses a implementation with a time complexity of ``O(NM)``,""\n    while RapidFuzz has a time complexity of ``O([N/64]M)``.\n\n    .. image:: img/indel_levenshtein.svg\n\n\n    Other weights:\n      The implementation for other weights is based on Wagner-Fischer.\n      It has a performance of ``O(N * M)`` and has a memory usage of ``O(N)``.\n      Further details can be found in [2]_.\n\n    References\n    ----------\n    .. [1] Hyyr\303\266, Heikki. \"A Bit-Vector Algorithm for Computing\n           Levenshtein and Damerau Edit Distances.\"\n           Nordic Journal of Computing, Volume 10 (2003): 29-39.\n    .. [2] Wagner, Robert & Fischer, Michael\n           \"The String-to-String Correction Problem.\"\n           J. ACM. 21. (1974): 168-173\n    .. [3] Myers, Gene. \"A fast bit-vector algorithm for approximate\n           string matching based on dynamic programming.\"\n           Journal of the ACM (JACM) 46.3 (1999): 395-415.\n    .. [4] Hyyr\303\266, Heikki. \"Bit-Parallel LCS-length Computation Revisited\"\n           Proc. 15th Australasian Workshop on Combinatorial Algorithms (AWOCA 2004). \n\n    Examples\n    --------\n    Find the Levenshtein distance between two strings:\n\n    >>> from rapidfuzz.string_metric import levenshtein\n    >>> levenshtein(\"lewenstein\", \"levenshtein\")\n    2\n\n    Setting a maximum distance allows the implementation to select\n    a more efficient implementation:\n\n    >>> levenshtein(\"lewenstein\", \"levenshtein\", max=1)\n    -1\n\n    It is possible to select different weights by passing a `weight`\n    tuple.\n\n    >>> levenshtein(\"lewenstein\", \"levenshtein\", weights=(1,1,2))\n    3\n    ";
static const char __pyx_k_Return_list_of_3_tuples_describ[] = "\n    Return list of 3-tuples describing how to turn s1 into s2.\n    Each tuple is of the form (tag, src_pos, dest_pos).\n\n    The tags are strings, with these meanings:\n    'replace':  s1[src_pos] should be replaced by s2[dest_pos]\n    'delete':   s1[src_pos] should be deleted.\n    'insert':   s2[dest_pos] should be inserted at s1[src_pos].\n\n    Parameters\n    ----------\n    s1 : Sequence[Hashable]\n        First string to compare.\n    s2 : Sequence[Hashable]\n        Second string to compare.\n    processor: bool or callable, optional\n        Optional callable that is used to preprocess the strings before\n        comparing them. When processor is True ``utils.default_process``\n        is used. Default is None, which deactivates this behaviour.\n\n    Returns\n    -------\n    editops : list[]\n        edit operations required to turn s1 into s2\n\n    Examples\n    --------\n    >>> from rapidfuzz.string_metric import levenshtein_editops\n    >>> for tag, src_pos, dest_pos in levenshtein_editops(\"qabxcd\", \"abycdf\"):\n    ...    print((\"%7s s1[%d] s2[%d]\" % (tag, src_pos, dest_pos)))\n     delete s1[1] s2[0]\n    replace s1[4] s2[3]\n     insert s1[6] s2[6]\n    ";
static const char __pyx_k_normalized_levenshtein_line_295[] = "normalized_levenshtein (line 295)";
static const char __pyx_k_Incompatible_checksums_s_vs_0xda[] = "Incompatible checksums (%s vs 0xda39a3e = ())";
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static PyObject *__pyx_n_s_EnumBase;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xda;
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static PyObject *__pyx_n_s_IntEnum;
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static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_n_s_None;
static PyObject *__pyx_n_s_OrderedDict;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_Pyx_EnumBase;
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static PyObject *__pyx_n_s_Pyx_EnumBase___repr;
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static PyObject *__pyx_n_s_Pyx_EnumMeta___reduce_cython;
static PyObject *__pyx_n_s_Pyx_EnumMeta___setstate_cython;
static PyObject *__pyx_n_s_Replace;
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static PyObject *__pyx_n_s__29;
static PyObject *__pyx_n_s_array;
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static PyObject *__pyx_n_s_c_max;
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static PyObject *__pyx_n_s_hamming;
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static PyObject *__pyx_n_s_jaro_similarity;
static PyObject *__pyx_n_s_jaro_winkler_similarity;
static PyObject *__pyx_n_s_levenshtein;
static PyObject *__pyx_n_s_levenshtein_editops;
static PyObject *__pyx_kp_u_levenshtein_editops_line_248;
static PyObject *__pyx_kp_u_levenshtein_line_50;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_members;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_mro_entries;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_normalized_hamming;
static PyObject *__pyx_n_s_normalized_levenshtein;
static PyObject *__pyx_kp_u_normalized_levenshtein_line_295;
static PyObject *__pyx_n_s_parents;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_prefix_weight;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_processor;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
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static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rapidfuzz_utils;
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static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_weights;
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/* #### Code section: decls ### */
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static PyObject *__pyx_pf_17cpp_string_metric_2levenshtein_editops(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_s2, PyObject *__pyx_v_processor); /* proto */
static PyObject *__pyx_pf_17cpp_string_metric_4normalized_levenshtein(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_s2, PyObject *__pyx_v_weights, PyObject *__pyx_v_processor, PyObject *__pyx_v_score_cutoff); /* proto */
static PyObject *__pyx_pf_17cpp_string_metric_6hamming(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_s2, PyObject *__pyx_v_processor, PyObject *__pyx_v_max); /* proto */
static PyObject *__pyx_pf_17cpp_string_metric_8normalized_hamming(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_s2, PyObject *__pyx_v_processor, PyObject *__pyx_v_score_cutoff); /* proto */
static PyObject *__pyx_pf_17cpp_string_metric_10jaro_similarity(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_s2, PyObject *__pyx_v_processor, PyObject *__pyx_v_score_cutoff); /* proto */
static PyObject *__pyx_pf_17cpp_string_metric_12jaro_winkler_similarity(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_s2, double __pyx_v_prefix_weight, PyObject *__pyx_v_processor, PyObject *__pyx_v_score_cutoff); /* proto */
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static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_4__getitem__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_cls, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_6__reduce_cython__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_8__setstate_cython__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
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static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumBase_4__str__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
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static PyObject *__pyx_int_228825662;
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static PyObject *__pyx_codeobj__24;
static PyObject *__pyx_codeobj__26;
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/* #### Code section: late_includes ### */
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  Py_CLEAR(clear_module_state->__pyx_FusedFunctionType);
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  Py_CLEAR(clear_module_state->__pyx_ptype___Pyx_EnumMeta);
  Py_CLEAR(clear_module_state->__Pyx_EnumMeta);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Calculates_a_normalized_levensh);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Calculates_the_minimum_number_o);
  Py_CLEAR(clear_module_state->__pyx_n_s_Delete);
  Py_CLEAR(clear_module_state->__pyx_n_s_EnumBase);
  Py_CLEAR(clear_module_state->__pyx_kp_s_Incompatible_checksums_s_vs_0xda);
  Py_CLEAR(clear_module_state->__pyx_n_s_Insert);
  Py_CLEAR(clear_module_state->__pyx_n_s_IntEnum);
  Py_CLEAR(clear_module_state->__pyx_n_s_LevenshteinEditType);
  Py_CLEAR(clear_module_state->__pyx_n_s_MemoryError);
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  Py_CLEAR(clear_module_state->__pyx_n_s_OrderedDict);
  Py_CLEAR(clear_module_state->__pyx_n_s_PickleError);
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  Py_CLEAR(clear_module_state->__pyx_n_s_Pyx_EnumBase___new);
  Py_CLEAR(clear_module_state->__pyx_n_s_Pyx_EnumBase___repr);
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  Py_CLEAR(clear_module_state->__pyx_n_s_Pyx_EnumMeta___reduce_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_Pyx_EnumMeta___setstate_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_Replace);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Return_list_of_3_tuples_describ);
  Py_CLEAR(clear_module_state->__pyx_kp_s_Unknown_enum_value_s);
  Py_CLEAR(clear_module_state->__pyx_n_s_ValueError);
  Py_CLEAR(clear_module_state->__pyx_n_s__29);
  Py_CLEAR(clear_module_state->__pyx_n_s_array);
  Py_CLEAR(clear_module_state->__pyx_n_s_asyncio_coroutines);
  Py_CLEAR(clear_module_state->__pyx_n_s_c_max);
  Py_CLEAR(clear_module_state->__pyx_n_s_c_score_cutoff);
  Py_CLEAR(clear_module_state->__pyx_n_s_class);
  Py_CLEAR(clear_module_state->__pyx_n_s_class_getitem);
  Py_CLEAR(clear_module_state->__pyx_n_s_cline_in_traceback);
  Py_CLEAR(clear_module_state->__pyx_n_s_cls);
  Py_CLEAR(clear_module_state->__pyx_n_s_collections);
  Py_CLEAR(clear_module_state->__pyx_n_s_cpp_string_metric);
  Py_CLEAR(clear_module_state->__pyx_kp_s_cpp_string_metric_pyx);
  Py_CLEAR(clear_module_state->__pyx_n_s_dct);
  Py_CLEAR(clear_module_state->__pyx_n_s_default_process);
  Py_CLEAR(clear_module_state->__pyx_n_u_delete);
  Py_CLEAR(clear_module_state->__pyx_n_s_deletion);
  Py_CLEAR(clear_module_state->__pyx_n_s_dict);
  Py_CLEAR(clear_module_state->__pyx_n_s_dict_2);
  Py_CLEAR(clear_module_state->__pyx_kp_u_disable);
  Py_CLEAR(clear_module_state->__pyx_n_s_doc);
  Py_CLEAR(clear_module_state->__pyx_kp_u_enable);
  Py_CLEAR(clear_module_state->__pyx_n_s_enum);
  Py_CLEAR(clear_module_state->__pyx_kp_u_gc);
  Py_CLEAR(clear_module_state->__pyx_n_s_getstate);
  Py_CLEAR(clear_module_state->__pyx_n_s_hamming);
  Py_CLEAR(clear_module_state->__pyx_n_s_import);
  Py_CLEAR(clear_module_state->__pyx_n_s_init);
  Py_CLEAR(clear_module_state->__pyx_n_s_init_subclass);
  Py_CLEAR(clear_module_state->__pyx_n_u_insert);
  Py_CLEAR(clear_module_state->__pyx_n_s_insertion);
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  Py_CLEAR(clear_module_state->__pyx_kp_u_isenabled);
  Py_CLEAR(clear_module_state->__pyx_n_s_jaro_similarity);
  Py_CLEAR(clear_module_state->__pyx_n_s_jaro_winkler_similarity);
  Py_CLEAR(clear_module_state->__pyx_n_s_levenshtein);
  Py_CLEAR(clear_module_state->__pyx_n_s_levenshtein_editops);
  Py_CLEAR(clear_module_state->__pyx_kp_u_levenshtein_editops_line_248);
  Py_CLEAR(clear_module_state->__pyx_kp_u_levenshtein_line_50);
  Py_CLEAR(clear_module_state->__pyx_n_s_main);
  Py_CLEAR(clear_module_state->__pyx_n_s_max);
  Py_CLEAR(clear_module_state->__pyx_n_s_members);
  Py_CLEAR(clear_module_state->__pyx_n_s_metaclass);
  Py_CLEAR(clear_module_state->__pyx_n_s_module);
  Py_CLEAR(clear_module_state->__pyx_n_s_mro_entries);
  Py_CLEAR(clear_module_state->__pyx_n_s_name);
  Py_CLEAR(clear_module_state->__pyx_n_s_name_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_new);
  Py_CLEAR(clear_module_state->__pyx_n_s_normalized_hamming);
  Py_CLEAR(clear_module_state->__pyx_n_s_normalized_levenshtein);
  Py_CLEAR(clear_module_state->__pyx_kp_u_normalized_levenshtein_line_295);
  Py_CLEAR(clear_module_state->__pyx_n_s_parents);
  Py_CLEAR(clear_module_state->__pyx_n_s_pickle);
  Py_CLEAR(clear_module_state->__pyx_n_s_prefix_weight);
  Py_CLEAR(clear_module_state->__pyx_n_s_prepare);
  Py_CLEAR(clear_module_state->__pyx_n_s_processor);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_PickleError);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_checksum);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_result);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_state);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_type);
  Py_CLEAR(clear_module_state->__pyx_n_s_pyx_unpickle___Pyx_EnumMeta);
  Py_CLEAR(clear_module_state->__pyx_n_s_qualname);
  Py_CLEAR(clear_module_state->__pyx_n_s_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_rapidfuzz_utils);
  Py_CLEAR(clear_module_state->__pyx_n_s_reduce);
  Py_CLEAR(clear_module_state->__pyx_n_s_reduce_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_reduce_ex);
  Py_CLEAR(clear_module_state->__pyx_n_u_replace);
  Py_CLEAR(clear_module_state->__pyx_n_s_repr);
  Py_CLEAR(clear_module_state->__pyx_n_s_res);
  Py_CLEAR(clear_module_state->__pyx_n_s_s1);
  Py_CLEAR(clear_module_state->__pyx_n_s_s2);
  Py_CLEAR(clear_module_state->__pyx_kp_s_s_s);
  Py_CLEAR(clear_module_state->__pyx_kp_s_s_s_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_score_cutoff);
  Py_CLEAR(clear_module_state->__pyx_n_s_self);
  Py_CLEAR(clear_module_state->__pyx_n_s_set_name);
  Py_CLEAR(clear_module_state->__pyx_n_s_setstate);
  Py_CLEAR(clear_module_state->__pyx_n_s_setstate_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_state);
  Py_CLEAR(clear_module_state->__pyx_n_s_str);
  Py_CLEAR(clear_module_state->__pyx_kp_s_stringsource);
  Py_CLEAR(clear_module_state->__pyx_n_s_substitution);
  Py_CLEAR(clear_module_state->__pyx_n_s_super);
  Py_CLEAR(clear_module_state->__pyx_n_s_test);
  Py_CLEAR(clear_module_state->__pyx_n_s_typecode);
  Py_CLEAR(clear_module_state->__pyx_n_s_update);
  Py_CLEAR(clear_module_state->__pyx_n_s_use_setstate);
  Py_CLEAR(clear_module_state->__pyx_n_s_v);
  Py_CLEAR(clear_module_state->__pyx_n_s_value);
  Py_CLEAR(clear_module_state->__pyx_n_s_values);
  Py_CLEAR(clear_module_state->__pyx_n_s_weights);
  Py_CLEAR(clear_module_state->__pyx_int_0);
  Py_CLEAR(clear_module_state->__pyx_int_1);
  Py_CLEAR(clear_module_state->__pyx_int_228825662);
  Py_CLEAR(clear_module_state->__pyx_tuple_);
  Py_CLEAR(clear_module_state->__pyx_tuple__9);
  Py_CLEAR(clear_module_state->__pyx_tuple__10);
  Py_CLEAR(clear_module_state->__pyx_tuple__11);
  Py_CLEAR(clear_module_state->__pyx_tuple__12);
  Py_CLEAR(clear_module_state->__pyx_tuple__13);
  Py_CLEAR(clear_module_state->__pyx_tuple__14);
  Py_CLEAR(clear_module_state->__pyx_tuple__15);
  Py_CLEAR(clear_module_state->__pyx_tuple__16);
  Py_CLEAR(clear_module_state->__pyx_tuple__18);
  Py_CLEAR(clear_module_state->__pyx_tuple__20);
  Py_CLEAR(clear_module_state->__pyx_tuple__22);
  Py_CLEAR(clear_module_state->__pyx_tuple__23);
  Py_CLEAR(clear_module_state->__pyx_tuple__25);
  Py_CLEAR(clear_module_state->__pyx_tuple__27);
  Py_CLEAR(clear_module_state->__pyx_codeobj__2);
  Py_CLEAR(clear_module_state->__pyx_codeobj__3);
  Py_CLEAR(clear_module_state->__pyx_codeobj__4);
  Py_CLEAR(clear_module_state->__pyx_codeobj__5);
  Py_CLEAR(clear_module_state->__pyx_codeobj__6);
  Py_CLEAR(clear_module_state->__pyx_codeobj__7);
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  Py_CLEAR(clear_module_state->__pyx_codeobj__21);
  Py_CLEAR(clear_module_state->__pyx_codeobj__24);
  Py_CLEAR(clear_module_state->__pyx_codeobj__26);
  Py_CLEAR(clear_module_state->__pyx_codeobj__28);
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}
#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
  __pyx_mstate *traverse_module_state = __pyx_mstate(m);
  if (!traverse_module_state) return 0;
  Py_VISIT(traverse_module_state->__pyx_d);
  Py_VISIT(traverse_module_state->__pyx_b);
  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
  Py_VISIT(traverse_module_state->__pyx_empty_tuple);
  Py_VISIT(traverse_module_state->__pyx_empty_bytes);
  Py_VISIT(traverse_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_VISIT(traverse_module_state->__pyx_CyFunctionType);
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  #ifdef __Pyx_FusedFunction_USED
  Py_VISIT(traverse_module_state->__pyx_FusedFunctionType);
  #endif
  Py_VISIT(traverse_module_state->__pyx_ptype_7cpython_4type_type);
  Py_VISIT(traverse_module_state->__pyx_ptype___Pyx_EnumMeta);
  Py_VISIT(traverse_module_state->__Pyx_EnumMeta);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Calculates_a_normalized_levensh);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Calculates_the_minimum_number_o);
  Py_VISIT(traverse_module_state->__pyx_n_s_Delete);
  Py_VISIT(traverse_module_state->__pyx_n_s_EnumBase);
  Py_VISIT(traverse_module_state->__pyx_kp_s_Incompatible_checksums_s_vs_0xda);
  Py_VISIT(traverse_module_state->__pyx_n_s_Insert);
  Py_VISIT(traverse_module_state->__pyx_n_s_IntEnum);
  Py_VISIT(traverse_module_state->__pyx_n_s_LevenshteinEditType);
  Py_VISIT(traverse_module_state->__pyx_n_s_MemoryError);
  Py_VISIT(traverse_module_state->__pyx_n_s_None);
  Py_VISIT(traverse_module_state->__pyx_n_s_OrderedDict);
  Py_VISIT(traverse_module_state->__pyx_n_s_PickleError);
  Py_VISIT(traverse_module_state->__pyx_n_s_Pyx_EnumBase);
  Py_VISIT(traverse_module_state->__pyx_n_s_Pyx_EnumBase___new);
  Py_VISIT(traverse_module_state->__pyx_n_s_Pyx_EnumBase___repr);
  Py_VISIT(traverse_module_state->__pyx_n_s_Pyx_EnumBase___str);
  Py_VISIT(traverse_module_state->__pyx_n_s_Pyx_EnumMeta___reduce_cython);
  Py_VISIT(traverse_module_state->__pyx_n_s_Pyx_EnumMeta___setstate_cython);
  Py_VISIT(traverse_module_state->__pyx_n_s_Replace);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Return_list_of_3_tuples_describ);
  Py_VISIT(traverse_module_state->__pyx_kp_s_Unknown_enum_value_s);
  Py_VISIT(traverse_module_state->__pyx_n_s_ValueError);
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  Py_VISIT(traverse_module_state->__pyx_n_s_array);
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  Py_VISIT(traverse_module_state->__pyx_n_s_c_score_cutoff);
  Py_VISIT(traverse_module_state->__pyx_n_s_class);
  Py_VISIT(traverse_module_state->__pyx_n_s_class_getitem);
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  Py_VISIT(traverse_module_state->__pyx_n_s_cls);
  Py_VISIT(traverse_module_state->__pyx_n_s_collections);
  Py_VISIT(traverse_module_state->__pyx_n_s_cpp_string_metric);
  Py_VISIT(traverse_module_state->__pyx_kp_s_cpp_string_metric_pyx);
  Py_VISIT(traverse_module_state->__pyx_n_s_dct);
  Py_VISIT(traverse_module_state->__pyx_n_s_default_process);
  Py_VISIT(traverse_module_state->__pyx_n_u_delete);
  Py_VISIT(traverse_module_state->__pyx_n_s_deletion);
  Py_VISIT(traverse_module_state->__pyx_n_s_dict);
  Py_VISIT(traverse_module_state->__pyx_n_s_dict_2);
  Py_VISIT(traverse_module_state->__pyx_kp_u_disable);
  Py_VISIT(traverse_module_state->__pyx_n_s_doc);
  Py_VISIT(traverse_module_state->__pyx_kp_u_enable);
  Py_VISIT(traverse_module_state->__pyx_n_s_enum);
  Py_VISIT(traverse_module_state->__pyx_kp_u_gc);
  Py_VISIT(traverse_module_state->__pyx_n_s_getstate);
  Py_VISIT(traverse_module_state->__pyx_n_s_hamming);
  Py_VISIT(traverse_module_state->__pyx_n_s_import);
  Py_VISIT(traverse_module_state->__pyx_n_s_init);
  Py_VISIT(traverse_module_state->__pyx_n_s_init_subclass);
  Py_VISIT(traverse_module_state->__pyx_n_u_insert);
  Py_VISIT(traverse_module_state->__pyx_n_s_insertion);
  Py_VISIT(traverse_module_state->__pyx_n_s_is_coroutine);
  Py_VISIT(traverse_module_state->__pyx_kp_u_isenabled);
  Py_VISIT(traverse_module_state->__pyx_n_s_jaro_similarity);
  Py_VISIT(traverse_module_state->__pyx_n_s_jaro_winkler_similarity);
  Py_VISIT(traverse_module_state->__pyx_n_s_levenshtein);
  Py_VISIT(traverse_module_state->__pyx_n_s_levenshtein_editops);
  Py_VISIT(traverse_module_state->__pyx_kp_u_levenshtein_editops_line_248);
  Py_VISIT(traverse_module_state->__pyx_kp_u_levenshtein_line_50);
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  Py_VISIT(traverse_module_state->__pyx_n_s_members);
  Py_VISIT(traverse_module_state->__pyx_n_s_metaclass);
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  Py_VISIT(traverse_module_state->__pyx_kp_u_normalized_levenshtein_line_295);
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  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_PickleError);
  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_checksum);
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  Py_VISIT(traverse_module_state->__pyx_n_s_pyx_unpickle___Pyx_EnumMeta);
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  Py_VISIT(traverse_module_state->__pyx_n_s_state);
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  Py_VISIT(traverse_module_state->__pyx_codeobj__28);
  return 0;
}
#endif
/* #### Code section: module_state_defines ### */
#if CYTHON_USE_MODULE_STATE
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
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#ifdef __Pyx_FusedFunction_USED
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#define __pyx_ptype_7cpython_4type_type __pyx_mstate_global->__pyx_ptype_7cpython_4type_type
#define __pyx_ptype___Pyx_EnumMeta __pyx_mstate_global->__pyx_ptype___Pyx_EnumMeta
#define __Pyx_EnumMeta __pyx_mstate_global->__Pyx_EnumMeta
#define __pyx_kp_u_Calculates_a_normalized_levensh __pyx_mstate_global->__pyx_kp_u_Calculates_a_normalized_levensh
#define __pyx_kp_u_Calculates_the_minimum_number_o __pyx_mstate_global->__pyx_kp_u_Calculates_the_minimum_number_o
#define __pyx_n_s_Delete __pyx_mstate_global->__pyx_n_s_Delete
#define __pyx_n_s_EnumBase __pyx_mstate_global->__pyx_n_s_EnumBase
#define __pyx_kp_s_Incompatible_checksums_s_vs_0xda __pyx_mstate_global->__pyx_kp_s_Incompatible_checksums_s_vs_0xda
#define __pyx_n_s_Insert __pyx_mstate_global->__pyx_n_s_Insert
#define __pyx_n_s_IntEnum __pyx_mstate_global->__pyx_n_s_IntEnum
#define __pyx_n_s_LevenshteinEditType __pyx_mstate_global->__pyx_n_s_LevenshteinEditType
#define __pyx_n_s_MemoryError __pyx_mstate_global->__pyx_n_s_MemoryError
#define __pyx_n_s_None __pyx_mstate_global->__pyx_n_s_None
#define __pyx_n_s_OrderedDict __pyx_mstate_global->__pyx_n_s_OrderedDict
#define __pyx_n_s_PickleError __pyx_mstate_global->__pyx_n_s_PickleError
#define __pyx_n_s_Pyx_EnumBase __pyx_mstate_global->__pyx_n_s_Pyx_EnumBase
#define __pyx_n_s_Pyx_EnumBase___new __pyx_mstate_global->__pyx_n_s_Pyx_EnumBase___new
#define __pyx_n_s_Pyx_EnumBase___repr __pyx_mstate_global->__pyx_n_s_Pyx_EnumBase___repr
#define __pyx_n_s_Pyx_EnumBase___str __pyx_mstate_global->__pyx_n_s_Pyx_EnumBase___str
#define __pyx_n_s_Pyx_EnumMeta___reduce_cython __pyx_mstate_global->__pyx_n_s_Pyx_EnumMeta___reduce_cython
#define __pyx_n_s_Pyx_EnumMeta___setstate_cython __pyx_mstate_global->__pyx_n_s_Pyx_EnumMeta___setstate_cython
#define __pyx_n_s_Replace __pyx_mstate_global->__pyx_n_s_Replace
#define __pyx_kp_u_Return_list_of_3_tuples_describ __pyx_mstate_global->__pyx_kp_u_Return_list_of_3_tuples_describ
#define __pyx_kp_s_Unknown_enum_value_s __pyx_mstate_global->__pyx_kp_s_Unknown_enum_value_s
#define __pyx_n_s_ValueError __pyx_mstate_global->__pyx_n_s_ValueError
#define __pyx_n_s__29 __pyx_mstate_global->__pyx_n_s__29
#define __pyx_n_s_array __pyx_mstate_global->__pyx_n_s_array
#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
#define __pyx_n_s_c_max __pyx_mstate_global->__pyx_n_s_c_max
#define __pyx_n_s_c_score_cutoff __pyx_mstate_global->__pyx_n_s_c_score_cutoff
#define __pyx_n_s_class __pyx_mstate_global->__pyx_n_s_class
#define __pyx_n_s_class_getitem __pyx_mstate_global->__pyx_n_s_class_getitem
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_cls __pyx_mstate_global->__pyx_n_s_cls
#define __pyx_n_s_collections __pyx_mstate_global->__pyx_n_s_collections
#define __pyx_n_s_cpp_string_metric __pyx_mstate_global->__pyx_n_s_cpp_string_metric
#define __pyx_kp_s_cpp_string_metric_pyx __pyx_mstate_global->__pyx_kp_s_cpp_string_metric_pyx
#define __pyx_n_s_dct __pyx_mstate_global->__pyx_n_s_dct
#define __pyx_n_s_default_process __pyx_mstate_global->__pyx_n_s_default_process
#define __pyx_n_u_delete __pyx_mstate_global->__pyx_n_u_delete
#define __pyx_n_s_deletion __pyx_mstate_global->__pyx_n_s_deletion
#define __pyx_n_s_dict __pyx_mstate_global->__pyx_n_s_dict
#define __pyx_n_s_dict_2 __pyx_mstate_global->__pyx_n_s_dict_2
#define __pyx_kp_u_disable __pyx_mstate_global->__pyx_kp_u_disable
#define __pyx_n_s_doc __pyx_mstate_global->__pyx_n_s_doc
#define __pyx_kp_u_enable __pyx_mstate_global->__pyx_kp_u_enable
#define __pyx_n_s_enum __pyx_mstate_global->__pyx_n_s_enum
#define __pyx_kp_u_gc __pyx_mstate_global->__pyx_kp_u_gc
#define __pyx_n_s_getstate __pyx_mstate_global->__pyx_n_s_getstate
#define __pyx_n_s_hamming __pyx_mstate_global->__pyx_n_s_hamming
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_init __pyx_mstate_global->__pyx_n_s_init
#define __pyx_n_s_init_subclass __pyx_mstate_global->__pyx_n_s_init_subclass
#define __pyx_n_u_insert __pyx_mstate_global->__pyx_n_u_insert
#define __pyx_n_s_insertion __pyx_mstate_global->__pyx_n_s_insertion
#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
#define __pyx_kp_u_isenabled __pyx_mstate_global->__pyx_kp_u_isenabled
#define __pyx_n_s_jaro_similarity __pyx_mstate_global->__pyx_n_s_jaro_similarity
#define __pyx_n_s_jaro_winkler_similarity __pyx_mstate_global->__pyx_n_s_jaro_winkler_similarity
#define __pyx_n_s_levenshtein __pyx_mstate_global->__pyx_n_s_levenshtein
#define __pyx_n_s_levenshtein_editops __pyx_mstate_global->__pyx_n_s_levenshtein_editops
#define __pyx_kp_u_levenshtein_editops_line_248 __pyx_mstate_global->__pyx_kp_u_levenshtein_editops_line_248
#define __pyx_kp_u_levenshtein_line_50 __pyx_mstate_global->__pyx_kp_u_levenshtein_line_50
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_max __pyx_mstate_global->__pyx_n_s_max
#define __pyx_n_s_members __pyx_mstate_global->__pyx_n_s_members
#define __pyx_n_s_metaclass __pyx_mstate_global->__pyx_n_s_metaclass
#define __pyx_n_s_module __pyx_mstate_global->__pyx_n_s_module
#define __pyx_n_s_mro_entries __pyx_mstate_global->__pyx_n_s_mro_entries
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_name_2 __pyx_mstate_global->__pyx_n_s_name_2
#define __pyx_n_s_new __pyx_mstate_global->__pyx_n_s_new
#define __pyx_n_s_normalized_hamming __pyx_mstate_global->__pyx_n_s_normalized_hamming
#define __pyx_n_s_normalized_levenshtein __pyx_mstate_global->__pyx_n_s_normalized_levenshtein
#define __pyx_kp_u_normalized_levenshtein_line_295 __pyx_mstate_global->__pyx_kp_u_normalized_levenshtein_line_295
#define __pyx_n_s_parents __pyx_mstate_global->__pyx_n_s_parents
#define __pyx_n_s_pickle __pyx_mstate_global->__pyx_n_s_pickle
#define __pyx_n_s_prefix_weight __pyx_mstate_global->__pyx_n_s_prefix_weight
#define __pyx_n_s_prepare __pyx_mstate_global->__pyx_n_s_prepare
#define __pyx_n_s_processor __pyx_mstate_global->__pyx_n_s_processor
#define __pyx_n_s_pyx_PickleError __pyx_mstate_global->__pyx_n_s_pyx_PickleError
#define __pyx_n_s_pyx_checksum __pyx_mstate_global->__pyx_n_s_pyx_checksum
#define __pyx_n_s_pyx_result __pyx_mstate_global->__pyx_n_s_pyx_result
#define __pyx_n_s_pyx_state __pyx_mstate_global->__pyx_n_s_pyx_state
#define __pyx_n_s_pyx_type __pyx_mstate_global->__pyx_n_s_pyx_type
#define __pyx_n_s_pyx_unpickle___Pyx_EnumMeta __pyx_mstate_global->__pyx_n_s_pyx_unpickle___Pyx_EnumMeta
#define __pyx_n_s_qualname __pyx_mstate_global->__pyx_n_s_qualname
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_rapidfuzz_utils __pyx_mstate_global->__pyx_n_s_rapidfuzz_utils
#define __pyx_n_s_reduce __pyx_mstate_global->__pyx_n_s_reduce
#define __pyx_n_s_reduce_cython __pyx_mstate_global->__pyx_n_s_reduce_cython
#define __pyx_n_s_reduce_ex __pyx_mstate_global->__pyx_n_s_reduce_ex
#define __pyx_n_u_replace __pyx_mstate_global->__pyx_n_u_replace
#define __pyx_n_s_repr __pyx_mstate_global->__pyx_n_s_repr
#define __pyx_n_s_res __pyx_mstate_global->__pyx_n_s_res
#define __pyx_n_s_s1 __pyx_mstate_global->__pyx_n_s_s1
#define __pyx_n_s_s2 __pyx_mstate_global->__pyx_n_s_s2
#define __pyx_kp_s_s_s __pyx_mstate_global->__pyx_kp_s_s_s
#define __pyx_kp_s_s_s_d __pyx_mstate_global->__pyx_kp_s_s_s_d
#define __pyx_n_s_score_cutoff __pyx_mstate_global->__pyx_n_s_score_cutoff
#define __pyx_n_s_self __pyx_mstate_global->__pyx_n_s_self
#define __pyx_n_s_set_name __pyx_mstate_global->__pyx_n_s_set_name
#define __pyx_n_s_setstate __pyx_mstate_global->__pyx_n_s_setstate
#define __pyx_n_s_setstate_cython __pyx_mstate_global->__pyx_n_s_setstate_cython
#define __pyx_n_s_state __pyx_mstate_global->__pyx_n_s_state
#define __pyx_n_s_str __pyx_mstate_global->__pyx_n_s_str
#define __pyx_kp_s_stringsource __pyx_mstate_global->__pyx_kp_s_stringsource
#define __pyx_n_s_substitution __pyx_mstate_global->__pyx_n_s_substitution
#define __pyx_n_s_super __pyx_mstate_global->__pyx_n_s_super
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_typecode __pyx_mstate_global->__pyx_n_s_typecode
#define __pyx_n_s_update __pyx_mstate_global->__pyx_n_s_update
#define __pyx_n_s_use_setstate __pyx_mstate_global->__pyx_n_s_use_setstate
#define __pyx_n_s_v __pyx_mstate_global->__pyx_n_s_v
#define __pyx_n_s_value __pyx_mstate_global->__pyx_n_s_value
#define __pyx_n_s_values __pyx_mstate_global->__pyx_n_s_values
#define __pyx_n_s_weights __pyx_mstate_global->__pyx_n_s_weights
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#define __pyx_int_228825662 __pyx_mstate_global->__pyx_int_228825662
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#define __pyx_tuple__9 __pyx_mstate_global->__pyx_tuple__9
#define __pyx_tuple__10 __pyx_mstate_global->__pyx_tuple__10
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#define __pyx_tuple__13 __pyx_mstate_global->__pyx_tuple__13
#define __pyx_tuple__14 __pyx_mstate_global->__pyx_tuple__14
#define __pyx_tuple__15 __pyx_mstate_global->__pyx_tuple__15
#define __pyx_tuple__16 __pyx_mstate_global->__pyx_tuple__16
#define __pyx_tuple__18 __pyx_mstate_global->__pyx_tuple__18
#define __pyx_tuple__20 __pyx_mstate_global->__pyx_tuple__20
#define __pyx_tuple__22 __pyx_mstate_global->__pyx_tuple__22
#define __pyx_tuple__23 __pyx_mstate_global->__pyx_tuple__23
#define __pyx_tuple__25 __pyx_mstate_global->__pyx_tuple__25
#define __pyx_tuple__27 __pyx_mstate_global->__pyx_tuple__27
#define __pyx_codeobj__2 __pyx_mstate_global->__pyx_codeobj__2
#define __pyx_codeobj__3 __pyx_mstate_global->__pyx_codeobj__3
#define __pyx_codeobj__4 __pyx_mstate_global->__pyx_codeobj__4
#define __pyx_codeobj__5 __pyx_mstate_global->__pyx_codeobj__5
#define __pyx_codeobj__6 __pyx_mstate_global->__pyx_codeobj__6
#define __pyx_codeobj__7 __pyx_mstate_global->__pyx_codeobj__7
#define __pyx_codeobj__8 __pyx_mstate_global->__pyx_codeobj__8
#define __pyx_codeobj__17 __pyx_mstate_global->__pyx_codeobj__17
#define __pyx_codeobj__19 __pyx_mstate_global->__pyx_codeobj__19
#define __pyx_codeobj__21 __pyx_mstate_global->__pyx_codeobj__21
#define __pyx_codeobj__24 __pyx_mstate_global->__pyx_codeobj__24
#define __pyx_codeobj__26 __pyx_mstate_global->__pyx_codeobj__26
#define __pyx_codeobj__28 __pyx_mstate_global->__pyx_codeobj__28
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/* #### Code section: module_code ### */

/* "cpp_string_metric.pyx":12
 * from cpython.ref cimport Py_INCREF
 * 
 * cdef inline proc_string conv_sequence(seq) except *:             # <<<<<<<<<<<<<<
 *     if is_valid_string(seq):
 *         return move(convert_string(seq))
 */

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 * cdef inline proc_string conv_sequence(seq) except *:
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 * 
 * cdef inline proc_string conv_sequence(seq) except *:
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 * from cpython.ref cimport Py_INCREF
 * 
 * cdef inline proc_string conv_sequence(seq) except *:             # <<<<<<<<<<<<<<
 *     if is_valid_string(seq):
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/* "cpp_string_metric.pyx":50
 *     vector[LevenshteinEditOp] levenshtein_editops_default_process(const proc_string& s1, const proc_string& s2) nogil except +
 * 
 * def levenshtein(s1, s2, *, weights=(1,1,1), processor=None, max=None):             # <<<<<<<<<<<<<<
 *     """
 *     Calculates the minimum number of insertions, deletions, and substitutions
 */

/* Python wrapper */
static PyObject *__pyx_pw_17cpp_string_metric_1levenshtein(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
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PyObject *__pyx_args, PyObject *__pyx_kwds
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); /*proto*/
PyDoc_STRVAR(__pyx_doc_17cpp_string_metric_levenshtein, "\n    Calculates the minimum number of insertions, deletions, and substitutions\n    required to change one sequence into the other according to Levenshtein with custom\n    costs for insertion, deletion and substitution\n\n    Parameters\n    ----------\n    s1 : Sequence[Hashable]\n        First string to compare.\n    s2 : Sequence[Hashable]\n        Second string to compare.\n    weights : Tuple[int, int, int] or None, optional\n        The weights for the three operations in the form\n        (insertion, deletion, substitution). Default is (1, 1, 1),\n        which gives all three operations a weight of 1.\n    processor: bool or callable, optional\n        Optional callable that is used to preprocess the strings before\n        comparing them. When processor is True ``utils.default_process``\n        is used. Default is None, which deactivates this behaviour.\n    max : int or None, optional\n        Maximum distance between s1 and s2, that is\n        considered as a result. If the distance is bigger than max,\n        -1 is returned instead. Default is None, which deactivates\n        this behaviour.\n\n    Returns\n    -------\n    distance : int\n        distance between s1 and s2\n\n    Raises\n    ------\n    ValueError\n        If unsupported weights are provided a ValueError is thrown\n\n    Notes\n    -----\n    Depending on the input parameters different optimized implementation are used\n    to improve the performance.\n\n    Insertion = Deletion = Substitution:\n      This is known as uniform Levenshtein distance and is the distance most commonly\n      referred to as Levenshtein distance. The following implementation is used\n      with a worst-case performance of ``O([N/64]M)``.\n\n      - if max is 0 the similarity can be calculated using a direct comparision,\n        since no difference between the strings is allowed.  The time complexity of\n        this algorithm is ``O(N)``.\n\n      - A common prefix/suffix of the two compared strings does"" not affect\n        the Levenshtein distance, so the affix is removed before calculating the\n        similarity.\n\n      - If max is \342\211\244 3 the mbleven algorithm is used. This algorithm\n        checks all possible edit operations that are possible under\n        the threshold `max`. The time complexity of this algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\244 64 after removing the common affix\n        Hyyr\303\266s' algorithm is used, which calculates the Levenshtein distance in\n        parallel. The algorithm is described by [1]_. The time complexity of this\n        algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\245 64 after removing the common affix\n        a blockwise implementation of Myers' algorithm is used, which calculates\n        the Levenshtein distance in parallel (64 characters at a time).\n        The algorithm is described by [3]_. The time complexity of this\n        algorithm is ``O([N/64]M)``.\n\n    The following image shows a benchmark of the Levenshtein distance in multiple\n    Python libraries. All of them are implemented either in C/C++ or Cython.\n    The graph shows, that python-Levenshtein is the only library with a time\n    complexity of ``O(NM)``, while all other libraries have a time complexity of\n    ``O([N/64]M)``. Especially for long strings RapidFuzz is a lot faster than\n    all the other tested libraries.\n\n    .. image:: img/uniform_levenshtein.svg\n\n\n    Insertion = Deletion, Substitution >= Insertion + Deletion:\n      Since every Substitution can be performed as Insertion + Deletion, this variant\n      of the Levenshtein distance only uses Insertions and Deletions. Therefore this\n      variant is often referred to as InDel-Distance.  The following implementation\n      is used with a worst-case performance of ``O([N/64]M)``.\n\n      - if max is 0 the similarity can be calculated using a direct comparision,\n        since no differenc""e between the strings is allowed.  The time complexity of\n        this algorithm is ``O(N)``.\n\n      - if max is 1 and the two strings have a similar length, the similarity can be\n        calculated using a direct comparision aswell, since a substitution would cause\n        a edit distance higher than max. The time complexity of this algorithm\n        is ``O(N)``.\n\n      - A common prefix/suffix of the two compared strings does not affect\n        the Levenshtein distance, so the affix is removed before calculating the\n        similarity.\n\n      - If max is \342\211\244 4 the mbleven algorithm is used. This algorithm\n        checks all possible edit operations that are possible under\n        the threshold `max`. As a difference to the normal Levenshtein distance this\n        algorithm can even be used up to a threshold of 4 here, since the higher weight\n        of substitutions decreases the amount of possible edit operations.\n        The time complexity of this algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\244 64 after removing the common affix\n        Hyyr\303\266s' lcs algorithm is used, which calculates the InDel distance in\n        parallel. The algorithm is described by [4]_ and is extended with support\n        for UTF32 in this implementation. The time complexity of this\n        algorithm is ``O(N)``.\n\n      - If the length of the shorter string is \342\211\245 64 after removing the common affix\n        a blockwise implementation of the Hyyr\303\266s' lcs algorithm is used, which calculates\n        the Levenshtein distance in parallel (64 characters at a time).\n        The algorithm is described by [4]_. The time complexity of this\n        algorithm is ``O([N/64]M)``.\n\n    The following image shows a benchmark of the InDel distance in RapidFuzz\n    and python-Levenshtein. Similar to the normal Levenshtein distance\n    python-Levenshtein uses a implementation with a time complexity of ``O(NM)``,""\n    while RapidFuzz has a time complexity of ``O([N/64]M)``.\n\n    .. image:: img/indel_levenshtein.svg\n\n\n    Other weights:\n      The implementation for other weights is based on Wagner-Fischer.\n      It has a performance of ``O(N * M)`` and has a memory usage of ``O(N)``.\n      Further details can be found in [2]_.\n\n    References\n    ----------\n    .. [1] Hyyr\303\266, Heikki. \"A Bit-Vector Algorithm for Computing\n           Levenshtein and Damerau Edit Distances.\"\n           Nordic Journal of Computing, Volume 10 (2003): 29-39.\n    .. [2] Wagner, Robert & Fischer, Michael\n           \"The String-to-String Correction Problem.\"\n           J. ACM. 21. (1974): 168-173\n    .. [3] Myers, Gene. \"A fast bit-vector algorithm for approximate\n           string matching based on dynamic programming.\"\n           Journal of the ACM (JACM) 46.3 (1999): 395-415.\n    .. [4] Hyyr\303\266, Heikki. \"Bit-Parallel LCS-length Computation Revisited\"\n           Proc. 15th Australasian Workshop on Combinatorial Algorithms (AWOCA 2004). \n\n    Examples\n    --------\n    Find the Levenshtein distance between two strings:\n\n    >>> from rapidfuzz.string_metric import levenshtein\n    >>> levenshtein(\"lewenstein\", \"levenshtein\")\n    2\n\n    Setting a maximum distance allows the implementation to select\n    a more efficient implementation:\n\n    >>> levenshtein(\"lewenstein\", \"levenshtein\", max=1)\n    -1\n\n    It is possible to select different weights by passing a `weight`\n    tuple.\n\n    >>> levenshtein(\"lewenstein\", \"levenshtein\", weights=(1,1,2))\n    3\n    ");
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    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    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);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *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

/* 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);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_getattr))
        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
#endif
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError */
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    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;
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

/* Profile */
#if CYTHON_PROFILE
static int __Pyx_TraceSetupAndCall(PyCodeObject** code,
                                   PyFrameObject** frame,
                                   PyThreadState* tstate,
                                   const char *funcname,
                                   const char *srcfile,
                                   int firstlineno) {
    PyObject *type, *value, *traceback;
    int retval;
    if (*frame == NULL || !CYTHON_PROFILE_REUSE_FRAME) {
        if (*code == NULL) {
            *code = __Pyx_createFrameCodeObject(funcname, srcfile, firstlineno);
            if (*code == NULL) return 0;
        }
        *frame = PyFrame_New(
            tstate,                          /*PyThreadState *tstate*/
            *code,                           /*PyCodeObject *code*/
            __pyx_d,                  /*PyObject *globals*/
            0                                /*PyObject *locals*/
        );
        if (*frame == NULL) return 0;
        if (CYTHON_TRACE && (*frame)->f_trace == NULL) {
            Py_INCREF(Py_None);
            (*frame)->f_trace = Py_None;
        }
#if PY_VERSION_HEX < 0x030400B1
    } else {
        (*frame)->f_tstate = tstate;
#endif
    }
    __Pyx_PyFrame_SetLineNumber(*frame, firstlineno);
    retval = 1;
    tstate->tracing++;
    __Pyx_SetTracing(tstate, 0);
    __Pyx_ErrFetchInState(tstate, &type, &value, &traceback);
    #if CYTHON_TRACE
    if (tstate->c_tracefunc)
        retval = tstate->c_tracefunc(tstate->c_traceobj, *frame, PyTrace_CALL, NULL) == 0;
    if (retval && tstate->c_profilefunc)
    #endif
        retval = tstate->c_profilefunc(tstate->c_profileobj, *frame, PyTrace_CALL, NULL) == 0;
    __Pyx_SetTracing(tstate, (tstate->c_profilefunc || (CYTHON_TRACE && tstate->c_tracefunc)));
    tstate->tracing--;
    if (retval) {
        __Pyx_ErrRestoreInState(tstate, type, value, traceback);
        return __Pyx_IsTracing(tstate, 0, 0) && retval;
    } else {
        Py_XDECREF(type);
        Py_XDECREF(value);
        Py_XDECREF(traceback);
        return -1;
    }
}
static PyCodeObject *__Pyx_createFrameCodeObject(const char *funcname, const char *srcfile, int firstlineno) {
    PyCodeObject *py_code = 0;
#if PY_MAJOR_VERSION >= 3
    py_code = PyCode_NewEmpty(srcfile, funcname, firstlineno);
    if (likely(py_code)) {
        py_code->co_flags |= CO_OPTIMIZED | CO_NEWLOCALS;
    }
#else
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    py_funcname = PyString_FromString(funcname);
    if (unlikely(!py_funcname)) goto bad;
    py_srcfile = PyString_FromString(srcfile);
    if (unlikely(!py_srcfile)) goto bad;
    py_code = PyCode_New(
        0,
        0,
        0,
        CO_OPTIMIZED | CO_NEWLOCALS,
        __pyx_empty_bytes,     /*PyObject *code,*/
        __pyx_empty_tuple,     /*PyObject *consts,*/
        __pyx_empty_tuple,     /*PyObject *names,*/
        __pyx_empty_tuple,     /*PyObject *varnames,*/
        __pyx_empty_tuple,     /*PyObject *freevars,*/
        __pyx_empty_tuple,     /*PyObject *cellvars,*/
        py_srcfile,       /*PyObject *filename,*/
        py_funcname,      /*PyObject *name,*/
        firstlineno,
        __pyx_empty_bytes      /*PyObject *lnotab*/
    );
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
#endif
    return py_code;
}
#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_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#elif CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

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

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

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

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

/* 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);
}

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

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

/* 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) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

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

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

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

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

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

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == 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
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    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

/* 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, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    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;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    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 PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    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;
        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;
    }
    #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);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* 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
    _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

/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

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

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

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

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

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

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

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

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

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

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

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

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

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

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

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

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

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

/* SetupReduce */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred()) {
        __Pyx_TypeName type_obj_name =
            __Pyx_PyType_GetName((PyTypeObject*)type_obj);
        PyErr_Format(PyExc_RuntimeError,
            "Unable to initialize pickling for " __Pyx_FMT_TYPENAME, type_obj_name);
        __Pyx_DECREF_TypeName(type_obj_name);
    }
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
#endif

/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_basicsize;
#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 !CYTHON_COMPILING_IN_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    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;
#endif
    if ((size_t)basicsize < 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);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != 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);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

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

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

/* CythonFunctionShared */
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
{
    CYTHON_UNUSED_VAR(closure);
    if (unlikely(op->func_doc == NULL)) {
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_tuple;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_kwdict;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->func_annotations;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    int is_coroutine;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
#if PY_VERSION_HEX >= 0x03050000
    if (is_coroutine) {
        PyObject *module, *fromlist, *marker = __pyx_n_s_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
        PyList_SET_ITEM(fromlist, 0, marker);
        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(op->func_is_coroutine)) {
            return __Pyx_NewRef(op->func_is_coroutine);
        }
ignore:
        PyErr_Clear();
    }
#endif
    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
    return __Pyx_NewRef(op->func_is_coroutine);
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#endif
#if PY_VERSION_HEX < 0x030500A0
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    CYTHON_UNUSED_VAR(args);
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(((PyCFunctionObject*)m)->m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    cf->m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
                         ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
        PyErr_Format(PyExc_TypeError,
                     "%.200s() takes no keyword arguments", ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, nargs, kwnames);
}
#endif
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#ifdef _Py_TPFLAGS_HAVE_VECTORCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
#if !CYTHON_METH_FASTCALL
    0,
#elif CYTHON_BACKPORT_VECTORCALL
    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
#else
    offsetof(PyCFunctionObject, vectorcall),
#endif
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#ifdef _Py_TPFLAGS_HAVE_VECTORCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_PyMethod_New,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM+0 >= 0x06000000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
#else
    (void) module;
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
#endif
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

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

/* Py3UpdateBases */
static PyObject*
__Pyx_PEP560_update_bases(PyObject *bases)
{
    Py_ssize_t i, j, size_bases;
    PyObject *base, *meth, *new_base, *result, *new_bases = NULL;
    size_bases = PyTuple_GET_SIZE(bases);
    for (i = 0; i < size_bases; i++) {
        base  = PyTuple_GET_ITEM(bases, i);
        if (PyType_Check(base)) {
            if (new_bases) {
                if (PyList_Append(new_bases, base) < 0) {
                    goto error;
                }
            }
            continue;
        }
        meth = __Pyx_PyObject_GetAttrStrNoError(base, __pyx_n_s_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++) {
                base = PyTuple_GET_ITEM(bases, j);
                PyList_SET_ITEM(new_bases, j, base);
                Py_INCREF(base);
            }
        }
        j = PyList_GET_SIZE(new_bases);
        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);
    return result;
error:
    Py_XDECREF(new_bases);
    return NULL;
}

/* SetNewInClass */
static int __Pyx_SetNewInClass(PyObject *ns, PyObject *name, PyObject *value) {
#ifdef __Pyx_CyFunction_USED
    int ret;
    if (__Pyx_CyFunction_Check(value)) {
        PyObject *staticnew = PyStaticMethod_New(value);
        if (unlikely(!staticnew)) return -1;
        ret = __Pyx_SetNameInClass(ns, name, staticnew);
        Py_DECREF(staticnew);
        return ret;
    }
#endif
    return __Pyx_SetNameInClass(ns, name, value);
}

/* CalculateMetaclass */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        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) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* 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);
}

/* 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);
#if PY_MAJOR_VERSION < 3
    if (unlikely(PyInstance_Check(obj)))
        return with_error ? __Pyx_PyObject_GetAttrStr(obj, attr_name) : __Pyx_PyObject_GetAttrStrNoError(obj, attr_name);
#endif
    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

/* 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_n_s_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_n_s_module, modname) < 0)) goto bad;
#if PY_VERSION_HEX >= 0x03030000
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
#else
    CYTHON_MAYBE_UNUSED_VAR(qualname);
#endif
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
#if PY_VERSION_HEX < 0x030600A4 && CYTHON_PEP487_INIT_SUBCLASS
static int __Pyx_SetNamesPEP487(PyObject *type_obj) {
    PyTypeObject *type = (PyTypeObject*) type_obj;
    PyObject *names_to_set, *key, *value, *set_name, *tmp;
    Py_ssize_t i = 0;
#if CYTHON_USE_TYPE_SLOTS
    names_to_set = PyDict_Copy(type->tp_dict);
#else
    {
        PyObject *d = PyObject_GetAttr(type_obj, __pyx_n_s_dict);
        names_to_set = NULL;
        if (likely(d)) {
            PyObject *names_to_set = PyDict_New();
            int ret = likely(names_to_set) ? PyDict_Update(names_to_set, d) : -1;
            Py_DECREF(d);
            if (unlikely(ret < 0))
                Py_CLEAR(names_to_set);
        }
    }
#endif
    if (unlikely(names_to_set == NULL))
        goto bad;
    while (PyDict_Next(names_to_set, &i, &key, &value)) {
        set_name = __Pyx_PyObject_LookupSpecialNoError(value, __pyx_n_s_set_name);
        if (unlikely(set_name != NULL)) {
            tmp = __Pyx_PyObject_Call2Args(set_name, type_obj, key);
            Py_DECREF(set_name);
            if (unlikely(tmp == NULL)) {
                __Pyx_TypeName value_type_name =
                    __Pyx_PyType_GetName(Py_TYPE(value));
                __Pyx_TypeName type_name = __Pyx_PyType_GetName(type);
                PyErr_Format(PyExc_RuntimeError,
#if PY_MAJOR_VERSION >= 3
                    "Error calling __set_name__ on '" __Pyx_FMT_TYPENAME "' instance %R " "in '" __Pyx_FMT_TYPENAME "'",
                    value_type_name, key, type_name);
#else
                    "Error calling __set_name__ on '" __Pyx_FMT_TYPENAME "' instance %.100s in '" __Pyx_FMT_TYPENAME "'",
                    value_type_name,
                    PyString_Check(key) ? PyString_AS_STRING(key) : "?",
                    type_name);
#endif
                goto bad;
            } else {
                Py_DECREF(tmp);
            }
        }
        else if (unlikely(PyErr_Occurred())) {
            goto bad;
        }
    }
    Py_DECREF(names_to_set);
    return 0;
bad:
    Py_XDECREF(names_to_set);
    return -1;
}
static PyObject *__Pyx_InitSubclassPEP487(PyObject *type_obj, PyObject *mkw) {
#if CYTHON_USE_TYPE_SLOTS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyTypeObject *type = (PyTypeObject*) type_obj;
    PyObject *mro = type->tp_mro;
    Py_ssize_t i, nbases;
    if (unlikely(!mro)) goto done;
    (void) &__Pyx_GetBuiltinName;
    Py_INCREF(mro);
    nbases = PyTuple_GET_SIZE(mro);
    assert(PyTuple_GET_ITEM(mro, 0) == type_obj);
    for (i = 1; i < nbases-1; i++) {
        PyObject *base, *dict, *meth;
        base = PyTuple_GET_ITEM(mro, i);
        dict = ((PyTypeObject *)base)->tp_dict;
        meth = __Pyx_PyDict_GetItemStrWithError(dict, __pyx_n_s_init_subclass);
        if (unlikely(meth)) {
            descrgetfunc f = Py_TYPE(meth)->tp_descr_get;
            PyObject *res;
            Py_INCREF(meth);
            if (likely(f)) {
                res = f(meth, NULL, type_obj);
                Py_DECREF(meth);
                if (unlikely(!res)) goto bad;
                meth = res;
            }
            res = __Pyx_PyObject_FastCallDict(meth, NULL, 0, mkw);
            Py_DECREF(meth);
            if (unlikely(!res)) goto bad;
            Py_DECREF(res);
            goto done;
        } else if (unlikely(PyErr_Occurred())) {
            goto bad;
        }
    }
done:
    Py_XDECREF(mro);
    return type_obj;
bad:
    Py_XDECREF(mro);
    Py_DECREF(type_obj);
    return NULL;
#else
    PyObject *super_type, *super, *func, *res;
#if CYTHON_COMPILING_IN_PYPY && !defined(PySuper_Type)
    super_type = __Pyx_GetBuiltinName(__pyx_n_s_super);
#else
    super_type = (PyObject*) &PySuper_Type;
    (void) &__Pyx_GetBuiltinName;
#endif
    super = likely(super_type) ? __Pyx_PyObject_Call2Args(super_type, type_obj, type_obj) : NULL;
#if CYTHON_COMPILING_IN_PYPY && !defined(PySuper_Type)
    Py_XDECREF(super_type);
#endif
    if (unlikely(!super)) {
        Py_CLEAR(type_obj);
        goto done;
    }
    func = __Pyx_PyObject_GetAttrStrNoError(super, __pyx_n_s_init_subclass);
    Py_DECREF(super);
    if (likely(!func)) {
        if (unlikely(PyErr_Occurred()))
            Py_CLEAR(type_obj);
        goto done;
    }
    res = __Pyx_PyObject_FastCallDict(func, NULL, 0, mkw);
    Py_DECREF(func);
    if (unlikely(!res))
        Py_CLEAR(type_obj);
    Py_XDECREF(res);
done:
    return type_obj;
#endif
}
#endif
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_n_s_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,
#if PY_VERSION_HEX < 0x030600A4
        (metaclass == (PyObject*)&PyType_Type) ? NULL : mkw
#else
        mkw
#endif
    );
    Py_XDECREF(owned_metaclass);
#if PY_VERSION_HEX < 0x030600A4 && CYTHON_PEP487_INIT_SUBCLASS
    if (likely(result) && likely(PyType_Check(result))) {
        if (unlikely(__Pyx_SetNamesPEP487(result) < 0)) {
            Py_CLEAR(result);
        } else {
            result = __Pyx_InitSubclassPEP487(result, mkw);
        }
    }
#else
    (void) &__Pyx_GetBuiltinName;
#endif
    return result;
}

/* Globals */
static PyObject* __Pyx_Globals(void) {
    return __Pyx_NewRef(__pyx_d);
}

/* DictGetItem */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            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 NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif

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

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

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if CYTHON_COMPILING_IN_LIMITED_API
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    if (c_line) {
        (void) __pyx_cfilenm;
        c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    _PyTraceback_Add(funcname, filename, c_line ? -c_line : py_line);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    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;
    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) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

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

/* UnicodeAsUCS4 */
static CYTHON_INLINE Py_UCS4 __Pyx_PyUnicode_AsPy_UCS4(PyObject* x) {
   Py_ssize_t length;
   #if CYTHON_PEP393_ENABLED
   length = PyUnicode_GET_LENGTH(x);
   if (likely(length == 1)) {
       return PyUnicode_READ_CHAR(x, 0);
   }
   #else
   length = PyUnicode_GET_SIZE(x);
   if (likely(length == 1)) {
       return PyUnicode_AS_UNICODE(x)[0];
   }
   #if Py_UNICODE_SIZE == 2
   else if (PyUnicode_GET_SIZE(x) == 2) {
       Py_UCS4 high_val = PyUnicode_AS_UNICODE(x)[0];
       if (high_val >= 0xD800 && high_val <= 0xDBFF) {
           Py_UCS4 low_val = PyUnicode_AS_UNICODE(x)[1];
           if (low_val >= 0xDC00 && low_val <= 0xDFFF) {
               return 0x10000 + (((high_val & ((1<<10)-1)) << 10) | (low_val & ((1<<10)-1)));
           }
       }
   }
   #endif
   #endif
   PyErr_Format(PyExc_ValueError,
                "only single character unicode strings can be converted to Py_UCS4, "
                "got length %" CYTHON_FORMAT_SSIZE_T "d", length);
   return (Py_UCS4)-1;
}

/* CIntFromPy */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(size_t) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if ((8 * sizeof(size_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(size_t) >= 2 * PyLong_SHIFT)) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(size_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(size_t) >= 3 * PyLong_SHIFT)) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(size_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) >= 4 * PyLong_SHIFT)) {
                            return (size_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
#if CYTHON_COMPILING_IN_CPYTHON
            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 (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(size_t) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if ((8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((8 * sizeof(size_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(size_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (size_t) (((size_t)-1)*(((((((((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(size_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (size_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
            if ((sizeof(size_t) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(size_t) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if (CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available, cannot convert large numbers");
#else
            size_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -1;
}

/* CIntFromPy */
static CYTHON_INLINE uint64_t __Pyx_PyInt_As_uint64_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const uint64_t neg_one = (uint64_t) -1, const_zero = (uint64_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(uint64_t) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(uint64_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (uint64_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (uint64_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(uint64_t, digit, digits[0])
                case 2:
                    if ((8 * sizeof(uint64_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(uint64_t) >= 2 * PyLong_SHIFT)) {
                            return (uint64_t) (((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(uint64_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(uint64_t) >= 3 * PyLong_SHIFT)) {
                            return (uint64_t) (((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(uint64_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, 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(uint64_t) >= 4 * PyLong_SHIFT)) {
                            return (uint64_t) (((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            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 (uint64_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(uint64_t) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(uint64_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(uint64_t) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(uint64_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (uint64_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(uint64_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(uint64_t,  digit, +digits[0])
                case -2:
                    if ((8 * sizeof(uint64_t) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (uint64_t) (((uint64_t)-1)*(((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((8 * sizeof(uint64_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (uint64_t) ((((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (uint64_t) (((uint64_t)-1)*(((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(uint64_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (uint64_t) ((((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, 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(uint64_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (uint64_t) (((uint64_t)-1)*(((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(uint64_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(uint64_t, 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(uint64_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (uint64_t) ((((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if ((sizeof(uint64_t) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(uint64_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(uint64_t) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(uint64_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if (CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available, cannot convert large numbers");
#else
            uint64_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (uint64_t) -1;
        }
    } else {
        uint64_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (uint64_t) -1;
        val = __Pyx_PyInt_As_uint64_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to uint64_t");
    return (uint64_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to uint64_t");
    return (uint64_t) -1;
}

/* ObjectAsUCS4 */
static Py_UCS4 __Pyx__PyObject_AsPy_UCS4_raise_error(long ival) {
   if (ival < 0) {
       if (!PyErr_Occurred())
           PyErr_SetString(PyExc_OverflowError,
                           "cannot convert negative value to Py_UCS4");
   } else {
       PyErr_SetString(PyExc_OverflowError,
                       "value too large to convert to Py_UCS4");
   }
   return (Py_UCS4)-1;
}
static Py_UCS4 __Pyx__PyObject_AsPy_UCS4(PyObject* x) {
   long ival;
   ival = __Pyx_PyInt_As_long(x);
   if (unlikely(!__Pyx_is_valid_index(ival, 1114111 + 1))) {
       return __Pyx__PyObject_AsPy_UCS4_raise_error(ival);
   }
   return (Py_UCS4)ival;
}

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                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
            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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                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
            }
        }
        {
#if (CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

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

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

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name_2);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XSETREF(name, __Pyx_NewRef(__pyx_n_s__29));
    }
    return name;
}
#endif

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                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
            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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                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
            }
        }
        {
#if (CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

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

/* CheckBinaryVersion */
static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

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

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


/* #### Code section: utility_code_pragmas_end ### */
#if _MSV_VER
#pragma warning( pop )
#endif



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