text: /* Generated by Cython 3.0a6 */
  
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    typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
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    #define __Pyx_METH_FASTCALL METH_VARARGS
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    #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
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    #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
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    #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
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    #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
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    #define __Pyx_PyThreadState_Current PyThreadState_Get()
  #elif !CYTHON_FAST_THREAD_STATE
    #define __Pyx_PyThreadState_Current PyThreadState_GET()
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    #define __Pyx_PyThreadState_Current _PyThreadState_Current
  #endif
  #if CYTHON_COMPILING_IN_LIMITED_API
  static 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_COMPILING_IN_LIMITED_API
    #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #else
    #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #endif
  #if CYTHON_USE_TYPE_SLOTS
    #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_HasFeature(type, feature)  PyType_HasFeature(type, feature)
    #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
  #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
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
    #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)         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)
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #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)         (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 && !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #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(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__engine
  #define __PYX_HAVE_API__engine
  /* Early includes */
  #include "ios"
  #include "new"
  #include "stdexcept"
  #include "typeinfo"
  #include <vector>
  #include "algorithms/sort/sort.hpp"
  #include "algorithms/search/search.hpp"
  #include <string.h>
  #include <string>
  #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
  #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
  #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) {
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      } else {
          char ascii_chars[128];
          int c;
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          }
          __Pyx_sys_getdefaultencoding_not_ascii = 1;
          ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
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          ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
          if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
              PyErr_Format(
                  PyExc_ValueError,
                  "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                  default_encoding_c);
              goto bad;
          }
          Py_DECREF(ascii_chars_u);
          Py_DECREF(ascii_chars_b);
      }
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      Py_XDECREF(ascii_chars_u);
      Py_XDECREF(ascii_chars_b);
      return -1;
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  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
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  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
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  static char* __PYX_DEFAULT_STRING_ENCODING;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
      if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
      strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      return -1;
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  /* Test for GCC > 2.95 */
  #if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
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    #define likely(x)   (x)
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  static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
  
  #if !CYTHON_COMPILING_IN_LIMITED_API
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  static PyObject *__pyx_cython_runtime = NULL;
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  static PyObject *__pyx_empty_unicode;
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  static int __pyx_lineno;
  static int __pyx_clineno = 0;
  static const char * __pyx_cfilenm = __FILE__;
  static const char *__pyx_filename;
  
  /* #### Code section: filename_table ### */
  
  static const char *__pyx_f[] = {
    "stringsource",
    "stalib/core/engine.pyx",
  };
  /* #### Code section: utility_code_proto_before_types ### */
  /* NoFastGil.proto */
  #define __Pyx_PyGILState_Ensure PyGILState_Ensure
  #define __Pyx_PyGILState_Release PyGILState_Release
  #define __Pyx_FastGIL_Remember()
  #define __Pyx_FastGIL_Forget()
  #define __Pyx_FastGilFuncInit()
  
  /* ForceInitThreads.proto */
  #ifndef __PYX_FORCE_INIT_THREADS
    #define __PYX_FORCE_INIT_THREADS 0
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  /* #### Code section: numeric_typedefs ### */
  /* #### Code section: complex_type_declarations ### */
  /* #### Code section: type_declarations ### */
  
  /*--- Type declarations ---*/
  struct __pyx_obj_6engine_Typed;
  struct __pyx_obj_6engine___pyx_scope_struct__validate;
  struct __pyx_obj_6engine___pyx_scope_struct_1_genexpr;
  
  /* "engine.pyx":10
   * 
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   * cdef class Typed:             # <<<<<<<<<<<<<<
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   *     Type Casting Cython Class
   */
  struct __pyx_obj_6engine_Typed {
    PyObject_HEAD
    struct __pyx_vtabstruct_6engine_Typed *__pyx_vtab;
    PyObject *_Typed__data;
  };
  
  
  /* "engine.pyx":160
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   *     @staticmethod
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  struct __pyx_obj_6engine___pyx_scope_struct__validate {
    PyObject_HEAD
    PyTypeObject *__pyx_v_first_type;
    PyObject *__pyx_v_it;
  };
  
  
  /* "engine.pyx":167
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   * 
   */
  struct __pyx_obj_6engine___pyx_scope_struct_1_genexpr {
    PyObject_HEAD
    struct __pyx_obj_6engine___pyx_scope_struct__validate *__pyx_outer_scope;
    PyObject *__pyx_v_i;
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  /* "engine.pyx":10
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   * cdef class Typed:             # <<<<<<<<<<<<<<
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   *     Type Casting Cython Class
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  struct __pyx_vtabstruct_6engine_Typed {
    PyObject *(*BinarySearch)(struct __pyx_obj_6engine_Typed *, PyObject *, int __pyx_skip_dispatch);
    PyObject *(*MergeSort)(struct __pyx_obj_6engine_Typed *, int __pyx_skip_dispatch);
    PyObject *(*BubbleSort)(struct __pyx_obj_6engine_Typed *, int __pyx_skip_dispatch);
    PyObject *(*QuickSort)(struct __pyx_obj_6engine_Typed *, int __pyx_skip_dispatch);
    PyObject *(*_QuickSortString)(std::vector<std::string> , int, int, int);
    PyObject *(*_QuickSortLong)(std::vector<long> , int, int, int);
    PyObject *(*_QuickSortDouble)(std::vector<double> , int, int, int);
    PyObject *(*_MergeSortString)(std::vector<std::string> );
    PyObject *(*_MergeSortLong)(std::vector<long> );
    PyObject *(*_MergeSortDouble)(std::vector<double> );
    PyObject *(*_BubbleSortString)(std::vector<std::string> );
    PyObject *(*_BubbleSortLong)(std::vector<long> );
    PyObject *(*_BubbleSortDouble)(std::vector<double> );
    PyObject *(*_BinarySearchString)(std::vector<std::string> , std::string);
    PyObject *(*_BinarySearchLong)(std::vector<long> , long);
    PyObject *(*_BinarySearchDouble)(std::vector<double> , double);
    PyObject *(*validate)(PyObject *);
  };
  static struct __pyx_vtabstruct_6engine_Typed *__pyx_vtabptr_6engine_Typed;
  /* #### Code section: utility_code_proto ### */
  
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    #define __Pyx_GIVEREF(r)
    #define __Pyx_XINCREF(r) Py_XINCREF(r)
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    #define __Pyx_XGOTREF(r)
    #define __Pyx_XGIVEREF(r)
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  #define __Pyx_Py_XDECREF_SET(r, v) do {\
          PyObject *tmp = (PyObject *) r;\
          r = v; Py_XDECREF(tmp);\
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  #define __Pyx_XDECREF_SET(r, v) do {\
          PyObject *tmp = (PyObject *) r;\
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  #define __Pyx_DECREF_SET(r, v) do {\
          PyObject *tmp = (PyObject *) r;\
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  #define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
  #define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
  
  /* PyErrExceptionMatches.proto */
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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);
  #else
  #define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
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  /* PyThreadStateGet.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
  #define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
  #define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
  #else
  #define __Pyx_PyThreadState_declare
  #define __Pyx_PyThreadState_assign
  #define __Pyx_PyErr_Occurred()  PyErr_Occurred()
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  /* PyErrFetchRestore.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
  #define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
  #define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
  #define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
  #define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
  static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
  static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
  #if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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  #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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  #else
  #define __Pyx_PyErr_Clear() PyErr_Clear()
  #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
  #define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
  #define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
  #define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
  #define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
  #define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
  #define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
  #endif
  
  /* PyObjectGetAttrStr.proto */
  #if CYTHON_USE_TYPE_SLOTS
  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);
  
  /* TupleAndListFromArray.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
  static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
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  /* 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
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  #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)
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  #define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
  #define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
  #endif
  
  /* RaiseDoubleKeywords.proto */
  static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
  
  /* ParseKeywords.proto */
  static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject *const *kwvalues,
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  /* RaiseArgTupleInvalid.proto */
  static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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  static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj);
  
  /* PyDictVersioning.proto */
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  #define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
  #define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
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  static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
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  /* PyFunctionFastCall.proto */
  #if CYTHON_FAST_PYCALL
  #if !CYTHON_VECTORCALL
  #define __Pyx_PyFunction_FastCall(func, args, nargs)\
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  static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
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  #define __Pyx_BUILD_ASSERT_EXPR(cond)\
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    #define __Pyx_PyFrame_GetLocalsplus(frame)\
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  /* PyObjectCall.proto */
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  static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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  #define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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  /* PyObjectCallMethO.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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  /* PyObjectFastCall.proto */
  #define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, nargs, NULL)
  static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
  
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  static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
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      Py_ssize_t len = Py_SIZE(list);
      if (likely(L->allocated > len)) {
          Py_INCREF(x);
          PyList_SET_ITEM(list, len, x);
          __Pyx_SET_SIZE(list, len + 1);
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    #include <utility>
    #define __PYX_STD_MOVE_IF_SUPPORTED(x) std::move(x)
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    #define __PYX_STD_MOVE_IF_SUPPORTED(x) x
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  /* KeywordStringCheck.proto */
  static int __Pyx_CheckKeywordStrings(PyObject *kw, const char* function_name, int kw_allowed);
  
  /* IncludeCppStringH.proto */
  #include <string>
  
  /* decode_c_string_utf16.proto */
  static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
      int byteorder = 0;
      return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
  }
  static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
      int byteorder = -1;
      return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
  }
  static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
      int byteorder = 1;
      return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
  }
  
  /* decode_c_bytes.proto */
  static CYTHON_INLINE PyObject* __Pyx_decode_c_bytes(
           const char* cstring, Py_ssize_t length, Py_ssize_t start, Py_ssize_t stop,
           const char* encoding, const char* errors,
           PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));
  
  /* decode_cpp_string.proto */
  static CYTHON_INLINE PyObject* __Pyx_decode_cpp_string(
           std::string cppstring, Py_ssize_t start, Py_ssize_t stop,
           const char* encoding, const char* errors,
           PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
      return __Pyx_decode_c_bytes(
          cppstring.data(), cppstring.size(), start, stop, encoding, errors, decode_func);
  }
  
  /* None.proto */
  static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);
  
  /* 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
  
  /* pep479.proto */
  static void __Pyx_Generator_Replace_StopIteration(int in_async_gen);
  
  /* IterNext.proto */
  #define __Pyx_PyIter_Next(obj) __Pyx_PyIter_Next2(obj, NULL)
  static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject *, PyObject *);
  
  /* RaiseException.proto */
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
  
  /* PyObject_GenericGetAttrNoDict.proto */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
  #else
  #define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
  #endif
  
  /* PyObject_GenericGetAttr.proto */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
  #else
  #define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
  #endif
  
  /* SetVTable.proto */
  static int __Pyx_SetVtable(PyObject *dict, void *vtable);
  
  /* SetupReduce.proto */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  static int __Pyx_setup_reduce(PyObject* type_obj);
  #endif
  
  /* Import.proto */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
  
  /* ImportFrom.proto */
  static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
  
  /* FetchCommonType.proto */
  static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
  #if CYTHON_COMPILING_IN_LIMITED_API
  static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyType_Spec *spec, PyObject *bases);
  #endif
  
  /* PyMethodNew.proto */
  #if PY_MAJOR_VERSION >= 3
  static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, CYTHON_UNUSED PyObject *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, Py_ssize_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_GetClosure(f)\
      (((__pyx_CyFunctionObject *) (f))->func_closure)
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_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 {
      PyCFunctionObject func;
  #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;
      PyObject *func_classobj;
      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;
  } __pyx_CyFunctionObject;
  #if !CYTHON_COMPILING_IN_LIMITED_API
  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_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(void);
  #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);
  #if CYTHON_BACKPORT_VECTORCALL
  #define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
  #else
  #define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func.vectorcall)
  #endif
  #endif
  
  /* CythonFunction.proto */
  static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                        int flags, PyObject* qualname,
                                        PyObject *closure,
                                        PyObject *module, PyObject *globals,
                                        PyObject* code);
  
  /* 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);
  
  /* CppExceptionConversion.proto */
  #ifndef __Pyx_CppExn2PyErr
  #include <new>
  #include <typeinfo>
  #include <stdexcept>
  #include <ios>
  static void __Pyx_CppExn2PyErr() {
    try {
      if (PyErr_Occurred())
        ; // let the latest Python exn pass through and ignore the current one
      else
        throw;
    } catch (const std::bad_alloc& exn) {
      PyErr_SetString(PyExc_MemoryError, exn.what());
    } catch (const std::bad_cast& exn) {
      PyErr_SetString(PyExc_TypeError, exn.what());
    } catch (const std::bad_typeid& exn) {
      PyErr_SetString(PyExc_TypeError, exn.what());
    } catch (const std::domain_error& exn) {
      PyErr_SetString(PyExc_ValueError, exn.what());
    } catch (const std::invalid_argument& exn) {
      PyErr_SetString(PyExc_ValueError, exn.what());
    } catch (const std::ios_base::failure& exn) {
      PyErr_SetString(PyExc_IOError, exn.what());
    } catch (const std::out_of_range& exn) {
      PyErr_SetString(PyExc_IndexError, exn.what());
    } catch (const std::overflow_error& exn) {
      PyErr_SetString(PyExc_OverflowError, exn.what());
    } catch (const std::range_error& exn) {
      PyErr_SetString(PyExc_ArithmeticError, exn.what());
    } catch (const std::underflow_error& exn) {
      PyErr_SetString(PyExc_ArithmeticError, exn.what());
    } catch (const std::exception& exn) {
      PyErr_SetString(PyExc_RuntimeError, exn.what());
    }
    catch (...)
    {
      PyErr_SetString(PyExc_RuntimeError, "Unknown exception");
    }
  }
  #endif
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);
  
  /* FormatTypeName.proto */
  #if CYTHON_COMPILING_IN_LIMITED_API
  typedef PyObject *__Pyx_TypeName;
  #define __Pyx_FMT_TYPENAME "%U"
  static __Pyx_TypeName __Pyx_PyType_GetName(PyTypeObject* tp);
  #define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
  #else
  typedef const char *__Pyx_TypeName;
  #define __Pyx_FMT_TYPENAME "%.200s"
  #define __Pyx_PyType_GetName(tp) ((tp)->tp_name)
  #define __Pyx_DECREF_TypeName(obj)
  #endif
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
  
  /* FastTypeChecks.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
  #define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
  static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
  static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
  #else
  #define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
  #define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
  #define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
  #define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
  #endif
  #define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_Occurred(), err1, err2)
  #define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
  
  /* 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
  
  /* SwapException.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
  static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
  #else
  static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
  #endif
  
  /* PyObjectCall2Args.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
  
  /* PyObjectCallOneArg.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
  
  /* PyObjectGetMethod.proto */
  static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);
  
  /* PyObjectCallMethod1.proto */
  static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);
  
  /* PyObjectCallNoArg.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
  
  /* CoroutineBase.proto */
  struct __pyx_CoroutineObject;
  typedef PyObject *(*__pyx_coroutine_body_t)(struct __pyx_CoroutineObject *, PyThreadState *, PyObject *);
  #if CYTHON_USE_EXC_INFO_STACK
  #define __Pyx_ExcInfoStruct  _PyErr_StackItem
  #else
  typedef struct {
      PyObject *exc_type;
      PyObject *exc_value;
      PyObject *exc_traceback;
  } __Pyx_ExcInfoStruct;
  #endif
  typedef struct __pyx_CoroutineObject {
      PyObject_HEAD
      __pyx_coroutine_body_t body;
      PyObject *closure;
      __Pyx_ExcInfoStruct gi_exc_state;
      PyObject *gi_weakreflist;
      PyObject *classobj;
      PyObject *yieldfrom;
      PyObject *gi_name;
      PyObject *gi_qualname;
      PyObject *gi_modulename;
      PyObject *gi_code;
      PyObject *gi_frame;
      int resume_label;
      char is_running;
  } __pyx_CoroutineObject;
  static __pyx_CoroutineObject *__Pyx__Coroutine_New(
      PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
      PyObject *name, PyObject *qualname, PyObject *module_name);
  static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
              __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
              PyObject *name, PyObject *qualname, PyObject *module_name);
  static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
  static int __Pyx_Coroutine_clear(PyObject *self);
  static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
  static PyObject *__Pyx_Coroutine_Close(PyObject *self);
  static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
  #if CYTHON_USE_EXC_INFO_STACK
  #define __Pyx_Coroutine_SwapException(self)
  #define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
  #else
  #define __Pyx_Coroutine_SwapException(self) {\
      __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
      __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
      }
  #define __Pyx_Coroutine_ResetAndClearException(self) {\
      __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
      (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
      }
  #endif
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
      __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
  #else
  #define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
      __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
  #endif
  static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
  static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);
  
  /* PatchModuleWithCoroutine.proto */
  static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code);
  
  /* PatchGeneratorABC.proto */
  static int __Pyx_patch_abc(void);
  
  /* Generator.proto */
  #define __Pyx_Generator_USED
  static PyTypeObject *__pyx_GeneratorType = 0;
  #define __Pyx_Generator_CheckExact(obj) __Pyx_IS_TYPE(obj, __pyx_GeneratorType)
  #define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
      __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
  static PyObject *__Pyx_Generator_Next(PyObject *self);
  static int __pyx_Generator_init(void);
  
  /* CheckBinaryVersion.proto */
  static int __Pyx_check_binary_version(void);
  
  /* InitStrings.proto */
  #if CYTHON_COMPILING_IN_LIMITED_API
  static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str);
  #else
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
  #endif
  
  /* #### Code section: module_declarations ### */
  static PyObject *__pyx_f_6engine_5Typed_BinarySearch(struct __pyx_obj_6engine_Typed *__pyx_v_self, PyObject *__pyx_v_token, int __pyx_skip_dispatch); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed_MergeSort(struct __pyx_obj_6engine_Typed *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed_BubbleSort(struct __pyx_obj_6engine_Typed *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed_QuickSort(struct __pyx_obj_6engine_Typed *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__QuickSortString(std::vector<std::string>  __pyx_v__data, int __pyx_v_low, int __pyx_v_high, int __pyx_v_pivot); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__QuickSortLong(std::vector<long>  __pyx_v__data, int __pyx_v_low, int __pyx_v_high, int __pyx_v_pivot); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__QuickSortDouble(std::vector<double>  __pyx_v__data, int __pyx_v_low, int __pyx_v_high, int __pyx_v_pivot); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__MergeSortString(std::vector<std::string>  __pyx_v__data); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__MergeSortLong(std::vector<long>  __pyx_v__data); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__MergeSortDouble(std::vector<double>  __pyx_v__data); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__BubbleSortString(std::vector<std::string>  __pyx_v__data); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__BubbleSortLong(std::vector<long>  __pyx_v__data); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__BubbleSortDouble(std::vector<double>  __pyx_v__data); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__BinarySearchString(std::vector<std::string>  __pyx_v__data, std::string __pyx_v_token); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__BinarySearchLong(std::vector<long>  __pyx_v__data, long __pyx_v_token); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed__BinarySearchDouble(std::vector<double>  __pyx_v__data, double __pyx_v_token); /* proto*/
  static PyObject *__pyx_f_6engine_5Typed_validate(PyObject *__pyx_v_ll); /* proto*/
  
  /* Module declarations from "stalib.core.algorithms" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "cython" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "libcpp.vector" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "stalib.core.algorithms.ops" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "stalib.core.templates" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "stalib.core.templates.ops" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "libc.string" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "libcpp.string" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  
  /* Module declarations from "engine" */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  static PyTypeObject *__pyx_ptype_6engine_Typed = 0;
  static PyTypeObject *__pyx_ptype_6engine___pyx_scope_struct__validate = 0;
  static PyTypeObject *__pyx_ptype_6engine___pyx_scope_struct_1_genexpr = 0;
  #endif
  static std::string __pyx_convert_string_from_py_std__in_string(PyObject *); /*proto*/
  static std::vector<std::string>  __pyx_convert_vector_from_py_std_3a__3a_string(PyObject *); /*proto*/
  static std::vector<long>  __pyx_convert_vector_from_py_long(PyObject *); /*proto*/
  static std::vector<double>  __pyx_convert_vector_from_py_double(PyObject *); /*proto*/
  static CYTHON_INLINE PyObject *__pyx_convert_PyObject_string_to_py_std__in_string(std::string const &); /*proto*/
  static CYTHON_INLINE PyObject *__pyx_convert_PyUnicode_string_to_py_std__in_string(std::string const &); /*proto*/
  static CYTHON_INLINE PyObject *__pyx_convert_PyStr_string_to_py_std__in_string(std::string const &); /*proto*/
  static CYTHON_INLINE PyObject *__pyx_convert_PyBytes_string_to_py_std__in_string(std::string const &); /*proto*/
  static CYTHON_INLINE PyObject *__pyx_convert_PyByteArray_string_to_py_std__in_string(std::string const &); /*proto*/
  static PyObject *__pyx_convert_vector_to_py_long(const std::vector<long>  &); /*proto*/
  static PyObject *__pyx_convert_vector_to_py_double(const std::vector<double>  &); /*proto*/
  /* #### Code section: typeinfo ### */
  /* #### Code section: before_global_var ### */
  #define __Pyx_MODULE_NAME "engine"
  extern int __pyx_module_is_main_engine;
  int __pyx_module_is_main_engine = 0;
  
  /* Implementation of "engine" */
  /* #### Code section: global_var ### */
  static PyObject *__pyx_builtin_TypeError;
  static PyObject *__pyx_builtin_range;
  /* #### Code section: string_decls ### */
  static const char __pyx_k_ll[] = "ll";
  static const char __pyx_k__13[] = "?";
  static const char __pyx_k_args[] = "args";
  static const char __pyx_k_main[] = "__main__";
  static const char __pyx_k_name[] = "__name__";
  static const char __pyx_k_self[] = "self";
  static const char __pyx_k_send[] = "send";
  static const char __pyx_k_test[] = "__test__";
  static const char __pyx_k_Typed[] = "Typed";
  static const char __pyx_k_close[] = "close";
  static const char __pyx_k_range[] = "range";
  static const char __pyx_k_throw[] = "throw";
  static const char __pyx_k_token[] = "token";
  static const char __pyx_k_utf_8[] = "utf-8";
  static const char __pyx_k_encode[] = "encode";
  static const char __pyx_k_engine[] = "engine";
  static const char __pyx_k_import[] = "__import__";
  static const char __pyx_k_reduce[] = "__reduce__";
  static const char __pyx_k_genexpr[] = "genexpr";
  static const char __pyx_k_getstate[] = "__getstate__";
  static const char __pyx_k_setstate[] = "__setstate__";
  static const char __pyx_k_MergeSort[] = "MergeSort";
  static const char __pyx_k_QuickSort[] = "QuickSort";
  static const char __pyx_k_TypeError[] = "TypeError";
  static const char __pyx_k_pyx_state[] = "__pyx_state";
  static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
  static const char __pyx_k_BubbleSort[] = "BubbleSort";
  static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
  static const char __pyx_k_BinarySearch[] = "BinarySearch";
  static const char __pyx_k_stringsource[] = "stringsource";
  static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
  static const char __pyx_k_stalib_errors[] = "stalib.errors";
  static const char __pyx_k_Typed_MergeSort[] = "Typed.MergeSort";
  static const char __pyx_k_Typed_QuickSort[] = "Typed.QuickSort";
  static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
  static const char __pyx_k_Typed_BubbleSort[] = "Typed.BubbleSort";
  static const char __pyx_k_Typed_BinarySearch[] = "Typed.BinarySearch";
  static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
  static const char __pyx_k_STALibValidationError[] = "STALibValidationError";
  static const char __pyx_k_Typed___reduce_cython[] = "Typed.__reduce_cython__";
  static const char __pyx_k_stalib_core_engine_pyx[] = "stalib/core/engine.pyx";
  static const char __pyx_k_Typed___setstate_cython[] = "Typed.__setstate_cython__";
  static const char __pyx_k_Typed_validate_locals_genexpr[] = "Typed.validate.<locals>.genexpr";
  static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
  #if !CYTHON_COMPILING_IN_LIMITED_API
  static PyObject *__pyx_n_s_BinarySearch;
  static PyObject *__pyx_n_s_BubbleSort;
  static PyObject *__pyx_n_s_MergeSort;
  static PyObject *__pyx_n_s_QuickSort;
  static PyObject *__pyx_n_s_STALibValidationError;
  static PyObject *__pyx_n_s_TypeError;
  static PyObject *__pyx_n_s_Typed;
  static PyObject *__pyx_n_s_Typed_BinarySearch;
  static PyObject *__pyx_n_s_Typed_BubbleSort;
  static PyObject *__pyx_n_s_Typed_MergeSort;
  static PyObject *__pyx_n_s_Typed_QuickSort;
  static PyObject *__pyx_n_s_Typed___reduce_cython;
  static PyObject *__pyx_n_s_Typed___setstate_cython;
  static PyObject *__pyx_n_s_Typed_validate_locals_genexpr;
  static PyObject *__pyx_n_s__13;
  static PyObject *__pyx_n_s_args;
  static PyObject *__pyx_n_s_cline_in_traceback;
  static PyObject *__pyx_n_s_close;
  static PyObject *__pyx_n_s_encode;
  static PyObject *__pyx_n_s_engine;
  static PyObject *__pyx_n_s_genexpr;
  static PyObject *__pyx_n_s_getstate;
  static PyObject *__pyx_n_s_import;
  static PyObject *__pyx_n_s_ll;
  static PyObject *__pyx_n_s_main;
  static PyObject *__pyx_n_s_name;
  static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
  static PyObject *__pyx_n_s_pyx_state;
  static PyObject *__pyx_n_s_pyx_vtable;
  static PyObject *__pyx_n_s_range;
  static PyObject *__pyx_n_s_reduce;
  static PyObject *__pyx_n_s_reduce_cython;
  static PyObject *__pyx_n_s_reduce_ex;
  static PyObject *__pyx_n_s_self;
  static PyObject *__pyx_n_s_send;
  static PyObject *__pyx_n_s_setstate;
  static PyObject *__pyx_n_s_setstate_cython;
  static PyObject *__pyx_kp_s_stalib_core_engine_pyx;
  static PyObject *__pyx_n_s_stalib_errors;
  static PyObject *__pyx_kp_s_stringsource;
  static PyObject *__pyx_n_s_test;
  static PyObject *__pyx_n_s_throw;
  static PyObject *__pyx_n_s_token;
  static PyObject *__pyx_kp_u_utf_8;
  #endif
  /* #### Code section: decls ### */
  static int __pyx_pf_6engine_5Typed___cinit__(struct __pyx_obj_6engine_Typed *__pyx_v_self, PyObject *__pyx_v_ll); /* proto */
  static PyObject *__pyx_pf_6engine_5Typed_2BinarySearch(struct __pyx_obj_6engine_Typed *__pyx_v_self, PyObject *__pyx_v_token); /* proto */
  static PyObject *__pyx_pf_6engine_5Typed_4MergeSort(struct __pyx_obj_6engine_Typed *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_6engine_5Typed_6BubbleSort(struct __pyx_obj_6engine_Typed *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_6engine_5Typed_8QuickSort(struct __pyx_obj_6engine_Typed *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_6engine_5Typed_8validate_genexpr(PyObject *__pyx_self); /* proto */
  static PyObject *__pyx_pf_6engine_5Typed_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6engine_Typed *__pyx_v_self); /* proto */
  static PyObject *__pyx_pf_6engine_5Typed_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6engine_Typed *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
  static PyObject *__pyx_tp_new_6engine_Typed(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  static PyObject *__pyx_tp_new_6engine___pyx_scope_struct__validate(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  static PyObject *__pyx_tp_new_6engine___pyx_scope_struct_1_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  static PyObject *__pyx_tuple_;
  static PyObject *__pyx_tuple__3;
  static PyObject *__pyx_tuple__5;
  static PyObject *__pyx_tuple__7;
  static PyObject *__pyx_tuple__9;
  static PyObject *__pyx_tuple__11;
  static PyObject *__pyx_codeobj__2;
  static PyObject *__pyx_codeobj__4;
  static PyObject *__pyx_codeobj__6;
  static PyObject *__pyx_codeobj__8;
  static PyObject *__pyx_codeobj__10;
  static PyObject *__pyx_codeobj__12;
  #endif
  /* #### Code section: late_includes ### */
  /* #### Code section: module_state ### */
  #if CYTHON_COMPILING_IN_LIMITED_API
  typedef struct {
    PyObject *__pyx_d;
    PyObject *__pyx_b;
    PyObject *__pyx_cython_runtime;
    PyObject *__pyx_empty_tuple;
    PyObject *__pyx_empty_bytes;
    PyObject *__pyx_empty_unicode;
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    PyTypeObject *__pyx_CyFunctionType;
    #endif
    #ifdef __Pyx_FusedFunction_USED
    PyTypeObject *__pyx_FusedFunctionType;
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    PyTypeObject *__pyx_ptype_6engine_Typed;
    PyObject *__pyx_type_6engine_Typed;
    PyTypeObject *__pyx_ptype_6engine___pyx_scope_struct__validate;
    PyObject *__pyx_type_6engine___pyx_scope_struct__validate;
    PyTypeObject *__pyx_ptype_6engine___pyx_scope_struct_1_genexpr;
    PyObject *__pyx_type_6engine___pyx_scope_struct_1_genexpr;
    PyObject *__pyx_n_s_BinarySearch;
    PyObject *__pyx_n_s_BubbleSort;
    PyObject *__pyx_n_s_MergeSort;
    PyObject *__pyx_n_s_QuickSort;
    PyObject *__pyx_n_s_STALibValidationError;
    PyObject *__pyx_n_s_TypeError;
    PyObject *__pyx_n_s_Typed;
    PyObject *__pyx_n_s_Typed_BinarySearch;
    PyObject *__pyx_n_s_Typed_BubbleSort;
    PyObject *__pyx_n_s_Typed_MergeSort;
    PyObject *__pyx_n_s_Typed_QuickSort;
    PyObject *__pyx_n_s_Typed___reduce_cython;
    PyObject *__pyx_n_s_Typed___setstate_cython;
    PyObject *__pyx_n_s_Typed_validate_locals_genexpr;
    PyObject *__pyx_n_s__13;
    PyObject *__pyx_n_s_args;
    PyObject *__pyx_n_s_cline_in_traceback;
    PyObject *__pyx_n_s_close;
    PyObject *__pyx_n_s_encode;
    PyObject *__pyx_n_s_engine;
    PyObject *__pyx_n_s_genexpr;
    PyObject *__pyx_n_s_getstate;
    PyObject *__pyx_n_s_import;
    PyObject *__pyx_n_s_ll;
    PyObject *__pyx_n_s_main;
    PyObject *__pyx_n_s_name;
    PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
    PyObject *__pyx_n_s_pyx_state;
    PyObject *__pyx_n_s_pyx_vtable;
    PyObject *__pyx_n_s_range;
    PyObject *__pyx_n_s_reduce;
    PyObject *__pyx_n_s_reduce_cython;
    PyObject *__pyx_n_s_reduce_ex;
    PyObject *__pyx_n_s_self;
    PyObject *__pyx_n_s_send;
    PyObject *__pyx_n_s_setstate;
    PyObject *__pyx_n_s_setstate_cython;
    PyObject *__pyx_kp_s_stalib_core_engine_pyx;
    PyObject *__pyx_n_s_stalib_errors;
    PyObject *__pyx_kp_s_stringsource;
    PyObject *__pyx_n_s_test;
    PyObject *__pyx_n_s_throw;
    PyObject *__pyx_n_s_token;
    PyObject *__pyx_kp_u_utf_8;
    PyObject *__pyx_tuple_;
    PyObject *__pyx_tuple__3;
    PyObject *__pyx_tuple__5;
    PyObject *__pyx_tuple__7;
    PyObject *__pyx_tuple__9;
    PyObject *__pyx_tuple__11;
    PyObject *__pyx_codeobj__2;
    PyObject *__pyx_codeobj__4;
    PyObject *__pyx_codeobj__6;
    PyObject *__pyx_codeobj__8;
    PyObject *__pyx_codeobj__10;
    PyObject *__pyx_codeobj__12;
  } __pyx_mstate;
  
  #ifdef __cplusplus
  namespace {
    extern struct PyModuleDef __pyx_moduledef;
  } /* anonymous namespace */
  #else
  static struct PyModuleDef __pyx_moduledef;
  #endif
  
  #define __pyx_mstate(o) ((__pyx_mstate *)__Pyx_PyModule_GetState(o))
  
  #define __pyx_mstate_global (__pyx_mstate(PyState_FindModule(&__pyx_moduledef)))
  
  #define __pyx_m (PyState_FindModule(&__pyx_moduledef))
  #endif
  /* #### Code section: module_state_clear ### */
  #if CYTHON_COMPILING_IN_LIMITED_API
  static int __pyx_m_clear(PyObject *m) {
    __pyx_mstate *clear_module_state = __pyx_mstate(m);
    if (!clear_module_state) return 0;
    Py_CLEAR(clear_module_state->__pyx_d);
    Py_CLEAR(clear_module_state->__pyx_b);
    Py_CLEAR(clear_module_state->__pyx_cython_runtime);
    Py_CLEAR(clear_module_state->__pyx_empty_tuple);
    Py_CLEAR(clear_module_state->__pyx_empty_bytes);
    Py_CLEAR(clear_module_state->__pyx_empty_unicode);
    #ifdef __Pyx_CyFunction_USED
    Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
    #endif
    #ifdef __Pyx_FusedFunction_USED
    Py_CLEAR(clear_module_state->__pyx_FusedFunctionType);
    #endif
    Py_CLEAR(clear_module_state->__pyx_ptype_6engine_Typed);
    Py_CLEAR(clear_module_state->__pyx_type_6engine_Typed);
    Py_CLEAR(clear_module_state->__pyx_ptype_6engine___pyx_scope_struct__validate);
    Py_CLEAR(clear_module_state->__pyx_type_6engine___pyx_scope_struct__validate);
    Py_CLEAR(clear_module_state->__pyx_ptype_6engine___pyx_scope_struct_1_genexpr);
    Py_CLEAR(clear_module_state->__pyx_type_6engine___pyx_scope_struct_1_genexpr);
    Py_CLEAR(clear_module_state->__pyx_n_s_BinarySearch);
    Py_CLEAR(clear_module_state->__pyx_n_s_BubbleSort);
    Py_CLEAR(clear_module_state->__pyx_n_s_MergeSort);
    Py_CLEAR(clear_module_state->__pyx_n_s_QuickSort);
    Py_CLEAR(clear_module_state->__pyx_n_s_STALibValidationError);
    Py_CLEAR(clear_module_state->__pyx_n_s_TypeError);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed_BinarySearch);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed_BubbleSort);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed_MergeSort);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed_QuickSort);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed___reduce_cython);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed___setstate_cython);
    Py_CLEAR(clear_module_state->__pyx_n_s_Typed_validate_locals_genexpr);
    Py_CLEAR(clear_module_state->__pyx_n_s__13);
    Py_CLEAR(clear_module_state->__pyx_n_s_args);
    Py_CLEAR(clear_module_state->__pyx_n_s_cline_in_traceback);
    Py_CLEAR(clear_module_state->__pyx_n_s_close);
    Py_CLEAR(clear_module_state->__pyx_n_s_encode);
    Py_CLEAR(clear_module_state->__pyx_n_s_engine);
    Py_CLEAR(clear_module_state->__pyx_n_s_genexpr);
    Py_CLEAR(clear_module_state->__pyx_n_s_getstate);
    Py_CLEAR(clear_module_state->__pyx_n_s_import);
    Py_CLEAR(clear_module_state->__pyx_n_s_ll);
    Py_CLEAR(clear_module_state->__pyx_n_s_main);
    Py_CLEAR(clear_module_state->__pyx_n_s_name);
    Py_CLEAR(clear_module_state->__pyx_kp_s_no_default___reduce___due_to_non);
    Py_CLEAR(clear_module_state->__pyx_n_s_pyx_state);
    Py_CLEAR(clear_module_state->__pyx_n_s_pyx_vtable);
    Py_CLEAR(clear_module_state->__pyx_n_s_range);
    Py_CLEAR(clear_module_state->__pyx_n_s_reduce);
    Py_CLEAR(clear_module_state->__pyx_n_s_reduce_cython);
    Py_CLEAR(clear_module_state->__pyx_n_s_reduce_ex);
    Py_CLEAR(clear_module_state->__pyx_n_s_self);
    Py_CLEAR(clear_module_state->__pyx_n_s_send);
    Py_CLEAR(clear_module_state->__pyx_n_s_setstate);
    Py_CLEAR(clear_module_state->__pyx_n_s_setstate_cython);
    Py_CLEAR(clear_module_state->__pyx_kp_s_stalib_core_engine_pyx);
    Py_CLEAR(clear_module_state->__pyx_n_s_stalib_errors);
    Py_CLEAR(clear_module_state->__pyx_kp_s_stringsource);
    Py_CLEAR(clear_module_state->__pyx_n_s_test);
    Py_CLEAR(clear_module_state->__pyx_n_s_throw);
    Py_CLEAR(clear_module_state->__pyx_n_s_token);
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    Py_CLEAR(clear_module_state->__pyx_tuple_);
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  static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
    __pyx_mstate *traverse_module_state = __pyx_mstate(m);
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    Py_VISIT(traverse_module_state->__pyx_type_6engine_Typed);
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          s1 = owned_ref;
          s1_is_unicode = 1;
      } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
          return __Pyx_PyBytes_Equals(s1, s2, equals);
      }
  #endif
      if (s1_is_unicode & s2_is_unicode) {
          Py_ssize_t length;
          int kind;
          void *data1, *data2;
          if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
              return -1;
          length = __Pyx_PyUnicode_GET_LENGTH(s1);
          if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
              goto return_ne;
          }
  #if CYTHON_USE_UNICODE_INTERNALS
          {
              Py_hash_t hash1, hash2;
          #if CYTHON_PEP393_ENABLED
              hash1 = ((PyASCIIObject*)s1)->hash;
              hash2 = ((PyASCIIObject*)s2)->hash;
          #else
              hash1 = ((PyUnicodeObject*)s1)->hash;
              hash2 = ((PyUnicodeObject*)s2)->hash;
          #endif
              if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                  goto return_ne;
              }
          }
  #endif
          kind = __Pyx_PyUnicode_KIND(s1);
          if (kind != __Pyx_PyUnicode_KIND(s2)) {
              goto return_ne;
          }
          data1 = __Pyx_PyUnicode_DATA(s1);
          data2 = __Pyx_PyUnicode_DATA(s2);
          if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
              goto return_ne;
          } else if (length == 1) {
              goto return_eq;
          } else {
              int result = memcmp(data1, data2, (size_t)(length * kind));
              #if PY_MAJOR_VERSION < 3
              Py_XDECREF(owned_ref);
              #endif
              return (equals == Py_EQ) ? (result == 0) : (result != 0);
          }
      } else if ((s1 == Py_None) & s2_is_unicode) {
          goto return_ne;
      } else if ((s2 == Py_None) & s1_is_unicode) {
          goto return_ne;
      } else {
          int result;
          PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
          #if PY_MAJOR_VERSION < 3
          Py_XDECREF(owned_ref);
          #endif
          if (!py_result)
              return -1;
          result = __Pyx_PyObject_IsTrue(py_result);
          Py_DECREF(py_result);
          return result;
      }
  return_eq:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(owned_ref);
      #endif
      return (equals == Py_EQ);
  return_ne:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(owned_ref);
      #endif
      return (equals == Py_NE);
  #endif
  }
  
  /* fastcall */
  #if CYTHON_METH_FASTCALL
  static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
  {
      Py_ssize_t i, n = PyTuple_GET_SIZE(kwnames);
      for (i = 0; i < n; i++)
      {
          if (s == PyTuple_GET_ITEM(kwnames, i)) return kwvalues[i];
      }
      for (i = 0; i < n; i++)
      {
          int eq = __Pyx_PyUnicode_Equals(s, PyTuple_GET_ITEM(kwnames, i), Py_EQ);
          if (unlikely(eq != 0)) {
              if (unlikely(eq < 0)) return NULL;  // error
              return kwvalues[i];
          }
      }
      return NULL;  // not found (no exception set)
  }
  #endif
  
  /* RaiseDoubleKeywords */
  static void __Pyx_RaiseDoubleKeywordsError(
      const char* func_name,
      PyObject* kw_name)
  {
      PyErr_Format(PyExc_TypeError,
          #if PY_MAJOR_VERSION >= 3
          "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
          #else
          "%s() got multiple values for keyword argument '%s'", func_name,
          PyString_AsString(kw_name));
          #endif
  }
  
  /* ParseKeywords */
  static int __Pyx_ParseOptionalKeywords(
      PyObject *kwds,
      PyObject *const *kwvalues,
      PyObject **argnames[],
      PyObject *kwds2,
      PyObject *values[],
      Py_ssize_t num_pos_args,
      const char* function_name)
  {
      PyObject *key = 0, *value = 0;
      Py_ssize_t pos = 0;
      PyObject*** name;
      PyObject*** first_kw_arg = argnames + num_pos_args;
      int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
      while (1) {
          if (kwds_is_tuple) {
              if (pos >= PyTuple_GET_SIZE(kwds)) break;
              key = PyTuple_GET_ITEM(kwds, pos);
              value = kwvalues[pos];
              pos++;
          }
          else
          {
              if (!PyDict_Next(kwds, &pos, &key, &value)) break;
          }
          name = first_kw_arg;
          while (*name && (**name != key)) name++;
          if (*name) {
              values[name-argnames] = value;
              continue;
          }
          name = first_kw_arg;
          #if PY_MAJOR_VERSION < 3
          if (likely(PyString_Check(key))) {
              while (*name) {
                  if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                          && _PyString_Eq(**name, key)) {
                      values[name-argnames] = value;
                      break;
                  }
                  name++;
              }
              if (*name) continue;
              else {
                  PyObject*** argname = argnames;
                  while (argname != first_kw_arg) {
                      if ((**argname == key) || (
                              (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                               && _PyString_Eq(**argname, key))) {
                          goto arg_passed_twice;
                      }
                      argname++;
                  }
              }
          } else
          #endif
          if (likely(PyUnicode_Check(key))) {
              while (*name) {
                  int cmp = (
                  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                      (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                  #endif
                      PyUnicode_Compare(**name, key)
                  );
                  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                  if (cmp == 0) {
                      values[name-argnames] = value;
                      break;
                  }
                  name++;
              }
              if (*name) continue;
              else {
                  PyObject*** argname = argnames;
                  while (argname != first_kw_arg) {
                      int cmp = (**argname == key) ? 0 :
                      #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                          (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                      #endif
                          PyUnicode_Compare(**argname, key);
                      if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                      if (cmp == 0) goto arg_passed_twice;
                      argname++;
                  }
              }
          } else
              goto invalid_keyword_type;
          if (kwds2) {
              if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
          } else {
              goto invalid_keyword;
          }
      }
      return 0;
  arg_passed_twice:
      __Pyx_RaiseDoubleKeywordsError(function_name, key);
      goto bad;
  invalid_keyword_type:
      PyErr_Format(PyExc_TypeError,
          "%.200s() keywords must be strings", function_name);
      goto bad;
  invalid_keyword:
      #if PY_MAJOR_VERSION < 3
      PyErr_Format(PyExc_TypeError,
          "%.200s() got an unexpected keyword argument '%.200s'",
          function_name, PyString_AsString(key));
      #else
      PyErr_Format(PyExc_TypeError,
          "%s() got an unexpected keyword argument '%U'",
          function_name, key);
      #endif
  bad:
      return -1;
  }
  
  /* RaiseArgTupleInvalid */
  static void __Pyx_RaiseArgtupleInvalid(
      const char* func_name,
      int exact,
      Py_ssize_t num_min,
      Py_ssize_t num_max,
      Py_ssize_t num_found)
  {
      Py_ssize_t num_expected;
      const char *more_or_less;
      if (num_found < num_min) {
          num_expected = num_min;
          more_or_less = "at least";
      } else {
          num_expected = num_max;
          more_or_less = "at most";
      }
      if (exact) {
          more_or_less = "exactly";
      }
      PyErr_Format(PyExc_TypeError,
                   "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                   func_name, more_or_less, num_expected,
                   (num_expected == 1) ? "" : "s", num_found);
  }
  
  /* RaiseUnexpectedTypeError */
  static int
  __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
  {
      __Pyx_TypeName obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
      PyErr_Format(PyExc_TypeError, "Expected %s, got " __Pyx_FMT_TYPENAME,
                   expected, obj_type_name);
      __Pyx_DECREF_TypeName(obj_type_name);
      return 0;
  }
  
  /* PyDictVersioning */
  #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
  }
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
      PyObject **dictptr = NULL;
      Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
      if (offset) {
  #if CYTHON_COMPILING_IN_CPYTHON
          dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
  #else
          dictptr = _PyObject_GetDictPtr(obj);
  #endif
      }
      return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
  }
  static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
          return 0;
      return obj_dict_version == __Pyx_get_object_dict_version(obj);
  }
  #endif
  
  /* 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 = func->ob_type->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, Py_ssize_t nargs, PyObject *kwargs) {
      PyObject *argstuple;
      PyObject *result;
      Py_ssize_t i;
      argstuple = PyTuple_New(nargs);
      if (unlikely(!argstuple)) return NULL;
      for (i = 0; i < nargs; i++) {
          Py_INCREF(args[i]);
          PyTuple_SET_ITEM(argstuple, 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, Py_ssize_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, 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, nargs, kwargs);
      }
      #endif
      if (nargs == 0) {
          return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
      }
      return __Pyx_PyObject_FastCall_fallback(func, args, nargs, kwargs);
  }
  
  /* 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;
  }
  
  /* decode_c_bytes */
  static CYTHON_INLINE PyObject* __Pyx_decode_c_bytes(
           const char* cstring, Py_ssize_t length, Py_ssize_t start, Py_ssize_t stop,
           const char* encoding, const char* errors,
           PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
      if (unlikely((start < 0) | (stop < 0))) {
          if (start < 0) {
              start += length;
              if (start < 0)
                  start = 0;
          }
          if (stop < 0)
              stop += length;
      }
      if (stop > length)
          stop = length;
      if (unlikely(stop <= start))
          return __Pyx_NewRef(__pyx_empty_unicode);
      length = stop - start;
      cstring += start;
      if (decode_func) {
          return decode_func(cstring, length, errors);
      } else {
          return PyUnicode_Decode(cstring, length, encoding, errors);
      }
  }
  
  /* None */
  static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
      PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
  }
  
  /* 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;
  }
  
  /* pep479 */
  static void __Pyx_Generator_Replace_StopIteration(CYTHON_UNUSED int in_async_gen) {
      PyObject *exc, *val, *tb, *cur_exc;
      __Pyx_PyThreadState_declare
      #ifdef __Pyx_StopAsyncIteration_USED
      int is_async_stopiteration = 0;
      #endif
      cur_exc = PyErr_Occurred();
      if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
          #ifdef __Pyx_StopAsyncIteration_USED
          if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, __Pyx_PyExc_StopAsyncIteration))) {
              is_async_stopiteration = 1;
          } else
          #endif
              return;
      }
      __Pyx_PyThreadState_assign
      __Pyx_GetException(&exc, &val, &tb);
      Py_XDECREF(exc);
      Py_XDECREF(val);
      Py_XDECREF(tb);
      PyErr_SetString(PyExc_RuntimeError,
          #ifdef __Pyx_StopAsyncIteration_USED
          is_async_stopiteration ? "async generator raised StopAsyncIteration" :
          in_async_gen ? "async generator raised StopIteration" :
          #endif
          "generator raised StopIteration");
  }
  
  /* IterNext */
  static PyObject *__Pyx_PyIter_Next2Default(PyObject* defval) {
      PyObject* exc_type;
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      exc_type = __Pyx_PyErr_Occurred();
      if (unlikely(exc_type)) {
          if (!defval || unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
              return NULL;
          __Pyx_PyErr_Clear();
          Py_INCREF(defval);
          return defval;
      }
      if (defval) {
          Py_INCREF(defval);
          return defval;
      }
      __Pyx_PyErr_SetNone(PyExc_StopIteration);
      return NULL;
  }
  static void __Pyx_PyIter_Next_ErrorNoIterator(PyObject *iterator) {
      __Pyx_TypeName iterator_type_name = __Pyx_PyType_GetName(Py_TYPE(iterator));
      PyErr_Format(PyExc_TypeError,
          __Pyx_FMT_TYPENAME " object is not an iterator", iterator_type_name);
      __Pyx_DECREF_TypeName(iterator_type_name);
  }
  static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject* iterator, PyObject* defval) {
      PyObject* next;
      iternextfunc iternext = Py_TYPE(iterator)->tp_iternext;
      if (likely(iternext)) {
  #if CYTHON_USE_TYPE_SLOTS
          next = iternext(iterator);
          if (likely(next))
              return next;
          if (unlikely(iternext == &_PyObject_NextNotImplemented))
              return NULL;
  #else
          next = PyIter_Next(iterator);
          if (likely(next))
              return next;
  #endif
      } else if (CYTHON_USE_TYPE_SLOTS || unlikely(!PyIter_Check(iterator))) {
          __Pyx_PyIter_Next_ErrorNoIterator(iterator);
          return NULL;
      }
  #if !CYTHON_USE_TYPE_SLOTS
      else {
          next = PyIter_Next(iterator);
          if (likely(next))
              return next;
      }
  #endif
      return __Pyx_PyIter_Next2Default(defval);
  }
  
  /* RaiseException */
  #if PY_MAJOR_VERSION < 3
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                          CYTHON_UNUSED PyObject *cause) {
      __Pyx_PyThreadState_declare
      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
  
  /* PyObject_GenericGetAttrNoDict */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
      __Pyx_TypeName type_name = __Pyx_PyType_GetName(tp);
      PyErr_Format(PyExc_AttributeError,
  #if PY_MAJOR_VERSION >= 3
                   "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                   type_name, attr_name);
  #else
                   "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                   type_name, PyString_AS_STRING(attr_name));
  #endif
      __Pyx_DECREF_TypeName(type_name);
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
      PyObject *descr;
      PyTypeObject *tp = Py_TYPE(obj);
      if (unlikely(!PyString_Check(attr_name))) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      assert(!tp->tp_dictoffset);
      descr = _PyType_Lookup(tp, attr_name);
      if (unlikely(!descr)) {
          return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
      }
      Py_INCREF(descr);
      #if PY_MAJOR_VERSION < 3
      if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
      #endif
      {
          descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
          if (unlikely(f)) {
              PyObject *res = f(descr, obj, (PyObject *)tp);
              Py_DECREF(descr);
              return res;
          }
      }
      return descr;
  }
  #endif
  
  /* PyObject_GenericGetAttr */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
      if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
  }
  #endif
  
  /* SetVTable */
  #if CYTHON_COMPILING_IN_LIMITED_API
  static int __Pyx_SetVtable(PyObject *type, void *vtable) {
  #else
  static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
  #endif
      PyObject *ob = PyCapsule_New(vtable, 0, 0);
      if (!ob)
          goto bad;
  #if CYTHON_COMPILING_IN_LIMITED_API
      if (PyObject_SetAttr(type, __pyx_n_s_pyx_vtable, ob) < 0)
  #else
      if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
  #endif
          goto bad;
      Py_DECREF(ob);
      return 0;
  bad:
      Py_XDECREF(ob);
      return -1;
  }
  
  /* SetupReduce */
    #if !CYTHON_COMPILING_IN_LIMITED_API
  static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
    int ret;
    PyObject *name_attr;
    name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_n_s_name);
    if (likely(name_attr)) {
        ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
    } else {
        ret = -1;
    }
    if (unlikely(ret < 0)) {
        PyErr_Clear();
        ret = 0;
    }
    Py_XDECREF(name_attr);
    return ret;
  }
  static int __Pyx_setup_reduce(PyObject* type_obj) {
      int ret = 0;
      PyObject *object_reduce = NULL;
      PyObject *object_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
  
  /* 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;
  }
  
  /* 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;
  }
  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;
  }
  #if CYTHON_COMPILING_IN_LIMITED_API
  static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyType_Spec *spec, PyObject *bases) {
      PyObject *abi_module, *py_basicsize, *cached_type = NULL;
      Py_ssize_t basicsize;
      abi_module = __Pyx_FetchSharedCythonABIModule();
      if (!abi_module) return NULL;
      cached_type = PyObject_GetAttrString(abi_module, spec->name);
      if (cached_type) {
          py_basicsize = PyObject_GetAttrString(cached_type, "__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;
          if (__Pyx_VerifyCachedType(
                cached_type,
                spec->name,
                basicsize,
                spec->basicsize) < 0) {
              goto bad;
          }
          goto done;
      }
      if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
      PyErr_Clear();
      cached_type = PyType_FromSpecWithBases(spec, bases);
      if (unlikely(!cached_type)) 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, Py_ssize_t nargs, PyObject *kw)
  {
      PyObject *res = NULL;
      PyObject *kwnames;
      PyObject **newargs;
      PyObject **kwvalues;
      Py_ssize_t i, pos;
      PyObject *key, *value;
      unsigned long keys_are_strings;
      Py_ssize_t nkw = PyDict_GET_SIZE(kw);
      newargs = (PyObject **)PyMem_Malloc((nargs + nkw) * sizeof(args[0]));
      if (unlikely(newargs == NULL)) {
          PyErr_NoMemory();
          return NULL;
      }
      for (i = 0; i < nargs; i++) newargs[i] = args[i];
      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, Py_ssize_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 */
    #include <structmember.h>
  static PyObject *
  __Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
  {
      if (unlikely(op->func_doc == NULL)) {
          if (op->func.m_ml->ml_doc) {
  #if PY_MAJOR_VERSION >= 3
              op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
  #else
              op->func_doc = PyString_FromString(op->func.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, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context)
  {
      if (unlikely(op->func_name == NULL)) {
  #if PY_MAJOR_VERSION >= 3
          op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
  #else
          op->func_name = PyString_InternFromString(op->func.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, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context)
  {
      Py_INCREF(op->func_qualname);
      return op->func_qualname;
  }
  static int
  __Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *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_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
  {
      PyObject *self;
      self = m->func_closure;
      if (self == NULL)
          self = Py_None;
      Py_INCREF(self);
      return self;
  }
  static PyObject *
  __Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *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, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context)
  {
      Py_INCREF(op->func_globals);
      return op->func_globals;
  }
  static PyObject *
  __Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
  {
      Py_INCREF(Py_None);
      return Py_None;
  }
  static PyObject *
  __Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
  {
      PyObject* result = (op->func_code) ? op->func_code : Py_None;
      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, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context) {
      PyObject* result = op->defaults_tuple;
      if (unlikely(!result)) {
          if (op->defaults_getter) {
              if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
              result = op->defaults_tuple;
          } else {
              result = Py_None;
          }
      }
      Py_INCREF(result);
      return result;
  }
  static int
  __Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context) {
      PyObject* result = op->defaults_kwdict;
      if (unlikely(!result)) {
          if (op->defaults_getter) {
              if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
              result = op->defaults_kwdict;
          } else {
              result = Py_None;
          }
      }
      Py_INCREF(result);
      return result;
  }
  static int
  __Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context) {
      PyObject* result = op->func_annotations;
      if (unlikely(!result)) {
          result = PyDict_New();
          if (unlikely(!result)) return NULL;
          op->func_annotations = result;
      }
      Py_INCREF(result);
      return result;
  }
  static 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 *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 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},
      {0, 0, 0, 0, 0}
  };
  static PyMemberDef __pyx_CyFunction_members[] = {
      {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
  #if CYTHON_COMPILING_IN_LIMITED_API
      {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
  #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, CYTHON_UNUSED PyObject *args)
  {
  #if PY_MAJOR_VERSION >= 3
      Py_INCREF(m->func_qualname);
      return m->func_qualname;
  #else
      return PyString_FromString(m->func.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) ((cyfunc)->func.m_weakreflist)
  #endif
  static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                         PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
      if (unlikely(op == NULL))
          return NULL;
      op->flags = flags;
      __Pyx_CyFunction_weakreflist(op) = NULL;
      op->func.m_ml = ml;
      op->func.m_self = (PyObject *) op;
      Py_XINCREF(closure);
      op->func_closure = closure;
      Py_XINCREF(module);
      op->func.m_module = module;
      op->func_dict = NULL;
      op->func_name = NULL;
      Py_INCREF(qualname);
      op->func_qualname = qualname;
      op->func_doc = NULL;
      op->func_classobj = NULL;
      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;
  #if CYTHON_METH_FASTCALL
      switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS)) {
      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_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(m->func.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);
      Py_CLEAR(m->func_classobj);
      Py_CLEAR(m->defaults_tuple);
      Py_CLEAR(m->defaults_kwdict);
      Py_CLEAR(m->func_annotations);
      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);
      PyObject_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(m->func.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(m->func_classobj);
      Py_VISIT(m->defaults_tuple);
      Py_VISIT(m->defaults_kwdict);
      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), 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",
                           cyfunc->func.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", cyfunc->func.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 = cyfunc->func.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 = cyfunc->func.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 = cyfunc->func.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 = cyfunc->func.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 = cyfunc->func.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 = cyfunc->func.m_self;
          break;
      default:
          return NULL;
      }
      return ((_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
  }
  #endif
  #if CYTHON_COMPILING_IN_LIMITED_API
  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,
      Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
      __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(__pyx_CyFunctionObject, func.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,
      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(void) {
  #if CYTHON_COMPILING_IN_LIMITED_API
      __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(&__pyx_CyFunctionType_spec, NULL);
  #else
      __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;
  }
  
  /* 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;\
      }
  
  /* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
      const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
      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) {
      const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
      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);
      }
  }
  
  /* CIntFromPy */
    static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
      const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
      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;
  }
  
  /* CIntFromPy */
    static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
      const size_t neg_one = (size_t) ((size_t) 0 - (size_t) 1), const_zero = (size_t) 0;
      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;
  }
  
  /* FormatTypeName */
    #if CYTHON_COMPILING_IN_LIMITED_API
  static __Pyx_TypeName
  __Pyx_PyType_GetName(PyTypeObject* tp)
  {
      PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                                 __pyx_n_s_name);
      if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
          PyErr_Clear();
          Py_XSETREF(name, __Pyx_NewRef(__pyx_n_s__13));
      }
      return name;
  }
  #endif
  
  /* CIntFromPy */
    static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
      const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
      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
  
  /* 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
  
  /* 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
  
  /* 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);
  }
  
  /* 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);
  }
  
  /* 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;
  }
  
  /* PyObjectCallMethod1 */
    static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
      PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
      Py_DECREF(method);
      return result;
  }
  static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
      PyObject *method = NULL, *result;
      int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
      if (likely(is_method)) {
          result = __Pyx_PyObject_Call2Args(method, obj, arg);
          Py_DECREF(method);
          return result;
      }
      if (unlikely(!method)) return NULL;
      return __Pyx__PyObject_CallMethod1(method, arg);
  }
  
  /* 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);
  }
  
  /* CoroutineBase */
    #include <structmember.h>
  #include <frameobject.h>
  #define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
  static int __Pyx_PyGen__FetchStopIterationValue(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
      PyObject *et, *ev, *tb;
      PyObject *value = NULL;
      __Pyx_ErrFetch(&et, &ev, &tb);
      if (!et) {
          Py_XDECREF(tb);
          Py_XDECREF(ev);
          Py_INCREF(Py_None);
          *pvalue = Py_None;
          return 0;
      }
      if (likely(et == PyExc_StopIteration)) {
          if (!ev) {
              Py_INCREF(Py_None);
              value = Py_None;
          }
  #if PY_VERSION_HEX >= 0x030300A0
          else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
              value = ((PyStopIterationObject *)ev)->value;
              Py_INCREF(value);
              Py_DECREF(ev);
          }
  #endif
          else if (unlikely(PyTuple_Check(ev))) {
              if (PyTuple_GET_SIZE(ev) >= 1) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                  value = PyTuple_GET_ITEM(ev, 0);
                  Py_INCREF(value);
  #else
                  value = PySequence_ITEM(ev, 0);
  #endif
              } else {
                  Py_INCREF(Py_None);
                  value = Py_None;
              }
              Py_DECREF(ev);
          }
          else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
              value = ev;
          }
          if (likely(value)) {
              Py_XDECREF(tb);
              Py_DECREF(et);
              *pvalue = value;
              return 0;
          }
      } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
          __Pyx_ErrRestore(et, ev, tb);
          return -1;
      }
      PyErr_NormalizeException(&et, &ev, &tb);
      if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
          __Pyx_ErrRestore(et, ev, tb);
          return -1;
      }
      Py_XDECREF(tb);
      Py_DECREF(et);
  #if PY_VERSION_HEX >= 0x030300A0
      value = ((PyStopIterationObject *)ev)->value;
      Py_INCREF(value);
      Py_DECREF(ev);
  #else
      {
          PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
          Py_DECREF(ev);
          if (likely(args)) {
              value = PySequence_GetItem(args, 0);
              Py_DECREF(args);
          }
          if (unlikely(!value)) {
              __Pyx_ErrRestore(NULL, NULL, NULL);
              Py_INCREF(Py_None);
              value = Py_None;
          }
      }
  #endif
      *pvalue = value;
      return 0;
  }
  static CYTHON_INLINE
  void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
      PyObject *t, *v, *tb;
      t = exc_state->exc_type;
      v = exc_state->exc_value;
      tb = exc_state->exc_traceback;
      exc_state->exc_type = NULL;
      exc_state->exc_value = NULL;
      exc_state->exc_traceback = NULL;
      Py_XDECREF(t);
      Py_XDECREF(v);
      Py_XDECREF(tb);
  }
  #define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
  static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
      const char *msg;
      if ((0)) {
      #ifdef __Pyx_Coroutine_USED
      } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
          msg = "coroutine already executing";
      #endif
      #ifdef __Pyx_AsyncGen_USED
      } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
          msg = "async generator already executing";
      #endif
      } else {
          msg = "generator already executing";
      }
      PyErr_SetString(PyExc_ValueError, msg);
  }
  #define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
  static void __Pyx__Coroutine_NotStartedError(CYTHON_UNUSED PyObject *gen) {
      const char *msg;
      if ((0)) {
      #ifdef __Pyx_Coroutine_USED
      } else if (__Pyx_Coroutine_Check(gen)) {
          msg = "can't send non-None value to a just-started coroutine";
      #endif
      #ifdef __Pyx_AsyncGen_USED
      } else if (__Pyx_AsyncGen_CheckExact(gen)) {
          msg = "can't send non-None value to a just-started async generator";
      #endif
      } else {
          msg = "can't send non-None value to a just-started generator";
      }
      PyErr_SetString(PyExc_TypeError, msg);
  }
  #define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
  static void __Pyx__Coroutine_AlreadyTerminatedError(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED int closing) {
      #ifdef __Pyx_Coroutine_USED
      if (!closing && __Pyx_Coroutine_Check(gen)) {
          PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
      } else
      #endif
      if (value) {
          #ifdef __Pyx_AsyncGen_USED
          if (__Pyx_AsyncGen_CheckExact(gen))
              PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
          else
          #endif
          PyErr_SetNone(PyExc_StopIteration);
      }
  }
  static
  PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
      __Pyx_PyThreadState_declare
      PyThreadState *tstate;
      __Pyx_ExcInfoStruct *exc_state;
      PyObject *retval;
      assert(!self->is_running);
      if (unlikely(self->resume_label == 0)) {
          if (unlikely(value && value != Py_None)) {
              return __Pyx_Coroutine_NotStartedError((PyObject*)self);
          }
      }
      if (unlikely(self->resume_label == -1)) {
          return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
      }
  #if CYTHON_FAST_THREAD_STATE
      __Pyx_PyThreadState_assign
      tstate = __pyx_tstate;
  #else
      tstate = __Pyx_PyThreadState_Current;
  #endif
      exc_state = &self->gi_exc_state;
      if (exc_state->exc_type) {
          #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
          #else
          if (exc_state->exc_traceback) {
              PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
              PyFrameObject *f = tb->tb_frame;
              Py_XINCREF(tstate->frame);
              assert(f->f_back == NULL);
              f->f_back = tstate->frame;
          }
          #endif
      }
  #if CYTHON_USE_EXC_INFO_STACK
      exc_state->previous_item = tstate->exc_info;
      tstate->exc_info = exc_state;
  #else
      if (exc_state->exc_type) {
          __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
      } else {
          __Pyx_Coroutine_ExceptionClear(exc_state);
          __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
      }
  #endif
      self->is_running = 1;
      retval = self->body(self, tstate, value);
      self->is_running = 0;
  #if CYTHON_USE_EXC_INFO_STACK
      exc_state = &self->gi_exc_state;
      tstate->exc_info = exc_state->previous_item;
      exc_state->previous_item = NULL;
      __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
  #endif
      return retval;
  }
  static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
      PyObject *exc_tb = exc_state->exc_traceback;
      if (likely(exc_tb)) {
  #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
  #else
          PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
          PyFrameObject *f = tb->tb_frame;
          Py_CLEAR(f->f_back);
  #endif
      }
  }
  static CYTHON_INLINE
  PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
      if (unlikely(!retval)) {
          __Pyx_PyThreadState_declare
          __Pyx_PyThreadState_assign
          if (!__Pyx_PyErr_Occurred()) {
              PyObject *exc = PyExc_StopIteration;
              #ifdef __Pyx_AsyncGen_USED
              if (__Pyx_AsyncGen_CheckExact(gen))
                  exc = __Pyx_PyExc_StopAsyncIteration;
              #endif
              __Pyx_PyErr_SetNone(exc);
          }
      }
      return retval;
  }
  static CYTHON_INLINE
  PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
      PyObject *ret;
      PyObject *val = NULL;
      __Pyx_Coroutine_Undelegate(gen);
      __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
      ret = __Pyx_Coroutine_SendEx(gen, val, 0);
      Py_XDECREF(val);
      return ret;
  }
  static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
      PyObject *retval;
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
      PyObject *yf = gen->yieldfrom;
      if (unlikely(gen->is_running))
          return __Pyx_Coroutine_AlreadyRunningError(gen);
      if (yf) {
          PyObject *ret;
          gen->is_running = 1;
          #ifdef __Pyx_Generator_USED
          if (__Pyx_Generator_CheckExact(yf)) {
              ret = __Pyx_Coroutine_Send(yf, value);
          } else
          #endif
          #ifdef __Pyx_Coroutine_USED
          if (__Pyx_Coroutine_Check(yf)) {
              ret = __Pyx_Coroutine_Send(yf, value);
          } else
          #endif
          #ifdef __Pyx_AsyncGen_USED
          if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
              ret = __Pyx_async_gen_asend_send(yf, value);
          } else
          #endif
          #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
          if (PyGen_CheckExact(yf)) {
              ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
          } else
          #endif
          #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
          if (PyCoro_CheckExact(yf)) {
              ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
          } else
          #endif
          {
              if (value == Py_None)
                  ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
              else
                  ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
          }
          gen->is_running = 0;
          if (likely(ret)) {
              return ret;
          }
          retval = __Pyx_Coroutine_FinishDelegation(gen);
      } else {
          retval = __Pyx_Coroutine_SendEx(gen, value, 0);
      }
      return __Pyx_Coroutine_MethodReturn(self, retval);
  }
  static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
      PyObject *retval = NULL;
      int err = 0;
      #ifdef __Pyx_Generator_USED
      if (__Pyx_Generator_CheckExact(yf)) {
          retval = __Pyx_Coroutine_Close(yf);
          if (!retval)
              return -1;
      } else
      #endif
      #ifdef __Pyx_Coroutine_USED
      if (__Pyx_Coroutine_Check(yf)) {
          retval = __Pyx_Coroutine_Close(yf);
          if (!retval)
              return -1;
      } else
      if (__Pyx_CoroutineAwait_CheckExact(yf)) {
          retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
          if (!retval)
              return -1;
      } else
      #endif
      #ifdef __Pyx_AsyncGen_USED
      if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
          retval = __Pyx_async_gen_asend_close(yf, NULL);
      } else
      if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
          retval = __Pyx_async_gen_athrow_close(yf, NULL);
      } else
      #endif
      {
          PyObject *meth;
          gen->is_running = 1;
          meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_close);
          if (unlikely(!meth)) {
              if (unlikely(PyErr_Occurred())) {
                  PyErr_WriteUnraisable(yf);
              }
          } else {
              retval = __Pyx_PyObject_CallNoArg(meth);
              Py_DECREF(meth);
              if (unlikely(!retval))
                  err = -1;
          }
          gen->is_running = 0;
      }
      Py_XDECREF(retval);
      return err;
  }
  static PyObject *__Pyx_Generator_Next(PyObject *self) {
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
      PyObject *yf = gen->yieldfrom;
      if (unlikely(gen->is_running))
          return __Pyx_Coroutine_AlreadyRunningError(gen);
      if (yf) {
          PyObject *ret;
          gen->is_running = 1;
          #ifdef __Pyx_Generator_USED
          if (__Pyx_Generator_CheckExact(yf)) {
              ret = __Pyx_Generator_Next(yf);
          } else
          #endif
          #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
          if (PyGen_CheckExact(yf)) {
              ret = _PyGen_Send((PyGenObject*)yf, NULL);
          } else
          #endif
          #ifdef __Pyx_Coroutine_USED
          if (__Pyx_Coroutine_Check(yf)) {
              ret = __Pyx_Coroutine_Send(yf, Py_None);
          } else
          #endif
              ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
          gen->is_running = 0;
          if (likely(ret)) {
              return ret;
          }
          return __Pyx_Coroutine_FinishDelegation(gen);
      }
      return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
  }
  static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, CYTHON_UNUSED PyObject *arg) {
      return __Pyx_Coroutine_Close(self);
  }
  static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
      PyObject *retval, *raised_exception;
      PyObject *yf = gen->yieldfrom;
      int err = 0;
      if (unlikely(gen->is_running))
          return __Pyx_Coroutine_AlreadyRunningError(gen);
      if (yf) {
          Py_INCREF(yf);
          err = __Pyx_Coroutine_CloseIter(gen, yf);
          __Pyx_Coroutine_Undelegate(gen);
          Py_DECREF(yf);
      }
      if (err == 0)
          PyErr_SetNone(PyExc_GeneratorExit);
      retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
      if (unlikely(retval)) {
          const char *msg;
          Py_DECREF(retval);
          if ((0)) {
          #ifdef __Pyx_Coroutine_USED
          } else if (__Pyx_Coroutine_Check(self)) {
              msg = "coroutine ignored GeneratorExit";
          #endif
          #ifdef __Pyx_AsyncGen_USED
          } else if (__Pyx_AsyncGen_CheckExact(self)) {
  #if PY_VERSION_HEX < 0x03060000
              msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
  #else
              msg = "async generator ignored GeneratorExit";
  #endif
          #endif
          } else {
              msg = "generator ignored GeneratorExit";
          }
          PyErr_SetString(PyExc_RuntimeError, msg);
          return NULL;
      }
      raised_exception = PyErr_Occurred();
      if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
          if (raised_exception) PyErr_Clear();
          Py_INCREF(Py_None);
          return Py_None;
      }
      return NULL;
  }
  static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                          PyObject *args, int close_on_genexit) {
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
      PyObject *yf = gen->yieldfrom;
      if (unlikely(gen->is_running))
          return __Pyx_Coroutine_AlreadyRunningError(gen);
      if (yf) {
          PyObject *ret;
          Py_INCREF(yf);
          if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
              int err = __Pyx_Coroutine_CloseIter(gen, yf);
              Py_DECREF(yf);
              __Pyx_Coroutine_Undelegate(gen);
              if (err < 0)
                  return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
              goto throw_here;
          }
          gen->is_running = 1;
          if (0
          #ifdef __Pyx_Generator_USED
              || __Pyx_Generator_CheckExact(yf)
          #endif
          #ifdef __Pyx_Coroutine_USED
              || __Pyx_Coroutine_Check(yf)
          #endif
              ) {
              ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
          #ifdef __Pyx_Coroutine_USED
          } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
              ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
          #endif
          } else {
              PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_throw);
              if (unlikely(!meth)) {
                  Py_DECREF(yf);
                  if (unlikely(PyErr_Occurred())) {
                      gen->is_running = 0;
                      return NULL;
                  }
                  __Pyx_Coroutine_Undelegate(gen);
                  gen->is_running = 0;
                  goto throw_here;
              }
              if (likely(args)) {
                  ret = __Pyx_PyObject_Call(meth, args, NULL);
              } else {
                  PyObject *cargs[4] = {NULL, typ, val, tb};
                  ret = __Pyx_PyObject_FastCall(meth, cargs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
              }
              Py_DECREF(meth);
          }
          gen->is_running = 0;
          Py_DECREF(yf);
          if (!ret) {
              ret = __Pyx_Coroutine_FinishDelegation(gen);
          }
          return __Pyx_Coroutine_MethodReturn(self, ret);
      }
  throw_here:
      __Pyx_Raise(typ, val, tb, NULL);
      return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
  }
  static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
      PyObject *typ;
      PyObject *val = NULL;
      PyObject *tb = NULL;
      if (unlikely(!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb)))
          return NULL;
      return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
  }
  static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
      Py_VISIT(exc_state->exc_type);
      Py_VISIT(exc_state->exc_value);
      Py_VISIT(exc_state->exc_traceback);
      return 0;
  }
  static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
      Py_VISIT(gen->closure);
      Py_VISIT(gen->classobj);
      Py_VISIT(gen->yieldfrom);
      return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
  }
  static int __Pyx_Coroutine_clear(PyObject *self) {
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
      Py_CLEAR(gen->closure);
      Py_CLEAR(gen->classobj);
      Py_CLEAR(gen->yieldfrom);
      __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
  #ifdef __Pyx_AsyncGen_USED
      if (__Pyx_AsyncGen_CheckExact(self)) {
          Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
      }
  #endif
      Py_CLEAR(gen->gi_code);
      Py_CLEAR(gen->gi_frame);
      Py_CLEAR(gen->gi_name);
      Py_CLEAR(gen->gi_qualname);
      Py_CLEAR(gen->gi_modulename);
      return 0;
  }
  static void __Pyx_Coroutine_dealloc(PyObject *self) {
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
      PyObject_GC_UnTrack(gen);
      if (gen->gi_weakreflist != NULL)
          PyObject_ClearWeakRefs(self);
      if (gen->resume_label >= 0) {
          PyObject_GC_Track(self);
  #if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
          if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
  #else
          Py_TYPE(gen)->tp_del(self);
          if (unlikely(self->ob_refcnt > 0))
  #endif
          {
              return;
          }
          PyObject_GC_UnTrack(self);
      }
  #ifdef __Pyx_AsyncGen_USED
      if (__Pyx_AsyncGen_CheckExact(self)) {
          /* We have to handle this case for asynchronous generators
             right here, because this code has to be between UNTRACK
             and GC_Del. */
          Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
      }
  #endif
      __Pyx_Coroutine_clear(self);
      PyObject_GC_Del(gen);
  }
  static void __Pyx_Coroutine_del(PyObject *self) {
      PyObject *error_type, *error_value, *error_traceback;
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
      __Pyx_PyThreadState_declare
      if (gen->resume_label < 0) {
          return;
      }
  #if !CYTHON_USE_TP_FINALIZE
      assert(self->ob_refcnt == 0);
      self->ob_refcnt = 1;
  #endif
      __Pyx_PyThreadState_assign
      __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
  #ifdef __Pyx_AsyncGen_USED
      if (__Pyx_AsyncGen_CheckExact(self)) {
          __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
          PyObject *finalizer = agen->ag_finalizer;
          if (finalizer && !agen->ag_closed) {
              PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
              if (unlikely(!res)) {
                  PyErr_WriteUnraisable(self);
              } else {
                  Py_DECREF(res);
              }
              __Pyx_ErrRestore(error_type, error_value, error_traceback);
              return;
          }
      }
  #endif
      if (unlikely(gen->resume_label == 0 && !error_value)) {
  #ifdef __Pyx_Coroutine_USED
  #ifdef __Pyx_Generator_USED
      if (!__Pyx_Generator_CheckExact(self))
  #endif
          {
          PyObject_GC_UnTrack(self);
  #if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
          if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
              PyErr_WriteUnraisable(self);
  #else
          {PyObject *msg;
          char *cmsg;
          #if CYTHON_COMPILING_IN_PYPY
          msg = NULL;
          cmsg = (char*) "coroutine was never awaited";
          #else
          char *cname;
          PyObject *qualname;
          qualname = gen->gi_qualname;
          cname = PyString_AS_STRING(qualname);
          msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
          if (unlikely(!msg)) {
              PyErr_Clear();
              cmsg = (char*) "coroutine was never awaited";
          } else {
              cmsg = PyString_AS_STRING(msg);
          }
          #endif
          if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
              PyErr_WriteUnraisable(self);
          Py_XDECREF(msg);}
  #endif
          PyObject_GC_Track(self);
          }
  #endif
      } else {
          PyObject *res = __Pyx_Coroutine_Close(self);
          if (unlikely(!res)) {
              if (PyErr_Occurred())
                  PyErr_WriteUnraisable(self);
          } else {
              Py_DECREF(res);
          }
      }
      __Pyx_ErrRestore(error_type, error_value, error_traceback);
  #if !CYTHON_USE_TP_FINALIZE
      assert(self->ob_refcnt > 0);
      if (likely(--self->ob_refcnt == 0)) {
          return;
      }
      {
          Py_ssize_t refcnt = self->ob_refcnt;
          _Py_NewReference(self);
          self->ob_refcnt = refcnt;
      }
  #if CYTHON_COMPILING_IN_CPYTHON
      assert(PyType_IS_GC(self->ob_type) &&
             _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
      _Py_DEC_REFTOTAL;
  #endif
  #ifdef COUNT_ALLOCS
      --Py_TYPE(self)->tp_frees;
      --Py_TYPE(self)->tp_allocs;
  #endif
  #endif
  }
  static PyObject *
  __Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
  {
      PyObject *name = self->gi_name;
      if (unlikely(!name)) name = Py_None;
      Py_INCREF(name);
      return name;
  }
  static int
  __Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
  {
  #if PY_MAJOR_VERSION >= 3
      if (unlikely(value == NULL || !PyUnicode_Check(value)))
  #else
      if (unlikely(value == NULL || !PyString_Check(value)))
  #endif
      {
          PyErr_SetString(PyExc_TypeError,
                          "__name__ must be set to a string object");
          return -1;
      }
      Py_INCREF(value);
      __Pyx_Py_XDECREF_SET(self->gi_name, value);
      return 0;
  }
  static PyObject *
  __Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
  {
      PyObject *name = self->gi_qualname;
      if (unlikely(!name)) name = Py_None;
      Py_INCREF(name);
      return name;
  }
  static int
  __Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
  {
  #if PY_MAJOR_VERSION >= 3
      if (unlikely(value == NULL || !PyUnicode_Check(value)))
  #else
      if (unlikely(value == NULL || !PyString_Check(value)))
  #endif
      {
          PyErr_SetString(PyExc_TypeError,
                          "__qualname__ must be set to a string object");
          return -1;
      }
      Py_INCREF(value);
      __Pyx_Py_XDECREF_SET(self->gi_qualname, value);
      return 0;
  }
  static PyObject *
  __Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
  {
      PyObject *frame = self->gi_frame;
      if (!frame) {
          if (unlikely(!self->gi_code)) {
              Py_RETURN_NONE;
          }
          frame = (PyObject *) PyFrame_New(
              PyThreadState_Get(),            /*PyThreadState *tstate,*/
              (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
              __pyx_d,                 /*PyObject *globals,*/
              0                               /*PyObject *locals*/
          );
          if (unlikely(!frame))
              return NULL;
          self->gi_frame = frame;
      }
      Py_INCREF(frame);
      return frame;
  }
  static __pyx_CoroutineObject *__Pyx__Coroutine_New(
              PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
              PyObject *name, PyObject *qualname, PyObject *module_name) {
      __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
      if (unlikely(!gen))
          return NULL;
      return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
  }
  static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
              __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
              PyObject *name, PyObject *qualname, PyObject *module_name) {
      gen->body = body;
      gen->closure = closure;
      Py_XINCREF(closure);
      gen->is_running = 0;
      gen->resume_label = 0;
      gen->classobj = NULL;
      gen->yieldfrom = NULL;
      gen->gi_exc_state.exc_type = NULL;
      gen->gi_exc_state.exc_value = NULL;
      gen->gi_exc_state.exc_traceback = NULL;
  #if CYTHON_USE_EXC_INFO_STACK
      gen->gi_exc_state.previous_item = NULL;
  #endif
      gen->gi_weakreflist = NULL;
      Py_XINCREF(qualname);
      gen->gi_qualname = qualname;
      Py_XINCREF(name);
      gen->gi_name = name;
      Py_XINCREF(module_name);
      gen->gi_modulename = module_name;
      Py_XINCREF(code);
      gen->gi_code = code;
      gen->gi_frame = NULL;
      PyObject_GC_Track(gen);
      return gen;
  }
  
  /* PatchModuleWithCoroutine */
    static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
  #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
      int result;
      PyObject *globals, *result_obj;
      globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
      result = PyDict_SetItemString(globals, "_cython_coroutine_type",
      #ifdef __Pyx_Coroutine_USED
          (PyObject*)__pyx_CoroutineType);
      #else
          Py_None);
      #endif
      if (unlikely(result < 0)) goto ignore;
      result = PyDict_SetItemString(globals, "_cython_generator_type",
      #ifdef __Pyx_Generator_USED
          (PyObject*)__pyx_GeneratorType);
      #else
          Py_None);
      #endif
      if (unlikely(result < 0)) goto ignore;
      if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
      if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
      result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
      if (unlikely(!result_obj)) goto ignore;
      Py_DECREF(result_obj);
      Py_DECREF(globals);
      return module;
  ignore:
      Py_XDECREF(globals);
      PyErr_WriteUnraisable(module);
      if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
          Py_DECREF(module);
          module = NULL;
      }
  #else
      py_code++;
  #endif
      return module;
  }
  
  /* PatchGeneratorABC */
    #ifndef CYTHON_REGISTER_ABCS
  #define CYTHON_REGISTER_ABCS 1
  #endif
  #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
  static PyObject* __Pyx_patch_abc_module(PyObject *module);
  static PyObject* __Pyx_patch_abc_module(PyObject *module) {
      module = __Pyx_Coroutine_patch_module(
          module, ""
  "if _cython_generator_type is not None:\n"
  "    try: Generator = _module.Generator\n"
  "    except AttributeError: pass\n"
  "    else: Generator.register(_cython_generator_type)\n"
  "if _cython_coroutine_type is not None:\n"
  "    try: Coroutine = _module.Coroutine\n"
  "    except AttributeError: pass\n"
  "    else: Coroutine.register(_cython_coroutine_type)\n"
      );
      return module;
  }
  #endif
  static int __Pyx_patch_abc(void) {
  #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
      static int abc_patched = 0;
      if (CYTHON_REGISTER_ABCS && !abc_patched) {
          PyObject *module;
          module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
          if (unlikely(!module)) {
              PyErr_WriteUnraisable(NULL);
              if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                      ((PY_MAJOR_VERSION >= 3) ?
                          "Cython module failed to register with collections.abc module" :
                          "Cython module failed to register with collections module"), 1) < 0)) {
                  return -1;
              }
          } else {
              module = __Pyx_patch_abc_module(module);
              abc_patched = 1;
              if (unlikely(!module))
                  return -1;
              Py_DECREF(module);
          }
          module = PyImport_ImportModule("backports_abc");
          if (module) {
              module = __Pyx_patch_abc_module(module);
              Py_XDECREF(module);
          }
          if (!module) {
              PyErr_Clear();
          }
      }
  #else
      if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
  #endif
      return 0;
  }
  
  /* Generator */
    static PyMethodDef __pyx_Generator_methods[] = {
      {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
       (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
      {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
       (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
      {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
       (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
      {0, 0, 0, 0}
  };
  static PyMemberDef __pyx_Generator_memberlist[] = {
      {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
      {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
       (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
      {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
      {0, 0, 0, 0, 0}
  };
  static PyGetSetDef __pyx_Generator_getsets[] = {
      {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
       (char*) PyDoc_STR("name of the generator"), 0},
      {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
       (char*) PyDoc_STR("qualified name of the generator"), 0},
      {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
       (char*) PyDoc_STR("Frame of the coroutine"), 0},
      {0, 0, 0, 0, 0}
  };
  static PyTypeObject __pyx_GeneratorType_type = {
      PyVarObject_HEAD_INIT(0, 0)
      __PYX_TYPE_MODULE_PREFIX "generator",
      sizeof(__pyx_CoroutineObject),
      0,
      (destructor) __Pyx_Coroutine_dealloc,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
      0,
      (traverseproc) __Pyx_Coroutine_traverse,
      0,
      0,
      offsetof(__pyx_CoroutineObject, gi_weakreflist),
      0,
      (iternextfunc) __Pyx_Generator_Next,
      __pyx_Generator_methods,
      __pyx_Generator_memberlist,
      __pyx_Generator_getsets,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
  #if CYTHON_USE_TP_FINALIZE
      0,
  #else
      __Pyx_Coroutine_del,
  #endif
      0,
  #if CYTHON_USE_TP_FINALIZE
      __Pyx_Coroutine_del,
  #elif PY_VERSION_HEX >= 0x030400a1
      0,
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
      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
  };
  static int __pyx_Generator_init(void) {
      __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
      __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
      __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
      if (unlikely(!__pyx_GeneratorType)) {
          return -1;
      }
      return 0;
  }
  
  /* 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: end ### */
  #endif /* Py_PYTHON_H */
  