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}

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#define __PYX_HAVE__Mikado__scales__intervaltree
#define __PYX_HAVE_API__Mikado__scales__intervaltree
#include "stdlib.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
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#ifndef CYTHON_UNUSED
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#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
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#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
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    (sizeof(type) == sizeof(Py_ssize_t) &&\
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                               v == (type)PY_SSIZE_T_MAX)))  )
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static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
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#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
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#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
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#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
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#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
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static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
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}
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#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
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#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
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static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
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#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
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#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
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#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
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#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
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    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
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                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
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            goto bad;
        }
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bad:
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}
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#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
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    default_encoding_c = PyBytes_AsString(default_encoding);
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bad:
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/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
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static PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;


static const char *__pyx_f[] = {
  "Mikado/scales/intervaltree.pyx",
};

/*--- Type declarations ---*/
struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode;
struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval;
struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree;
struct __pyx_opt_args_6Mikado_6scales_12intervaltree_12IntervalNode_left;
struct __pyx_opt_args_6Mikado_6scales_12intervaltree_12IntervalNode_right;

/* "Mikado/scales/intervaltree.pyx":231
 * 
 * 
 *     cpdef left(self, position, int n=1, int max_dist=2500):             # <<<<<<<<<<<<<<
 *         """
 *         find n features with a start > than `position`
 */
struct __pyx_opt_args_6Mikado_6scales_12intervaltree_12IntervalNode_left {
  int __pyx_n;
  int n;
  int max_dist;
};

/* "Mikado/scales/intervaltree.pyx":246
 *         return r[:n]
 * 
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struct __pyx_opt_args_6Mikado_6scales_12intervaltree_12IntervalNode_right {
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/* "Mikado/scales/intervaltree.pyx":60
 * cdef float nlog = -1.0 / log(0.5)
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struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode {
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/* "Mikado/scales/intervaltree.pyx":273
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 * 
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 */
struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval {
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/* "Mikado/scales/intervaltree.pyx":327
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 */
struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree {
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/* "Mikado/scales/intervaltree.pyx":60
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static struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_f_6Mikado_6scales_12intervaltree_12IntervalNode_insert(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, PyObject *__pyx_v_interval, int __pyx_skip_dispatch); /* proto*/
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static void __pyx_f_6Mikado_6scales_12intervaltree_12IntervalNode__intersect(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, PyObject *__pyx_v_results); /* proto*/
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static void __pyx_f_6Mikado_6scales_12intervaltree_12IntervalNode__seek_right(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, int __pyx_v_position, PyObject *__pyx_v_results, int __pyx_v_n, int __pyx_v_max_dist); /* proto*/
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static PyObject *__pyx_f_6Mikado_6scales_12intervaltree_12IntervalNode_right(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, PyObject *__pyx_v_position, int __pyx_skip_dispatch, struct __pyx_opt_args_6Mikado_6scales_12intervaltree_12IntervalNode_right *__pyx_optional_args); /* proto*/
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/* Module declarations from 'Mikado.scales.intervaltree' */
static PyTypeObject *__pyx_ptype_6Mikado_6scales_12intervaltree_IntervalNode = 0;
static PyTypeObject *__pyx_ptype_6Mikado_6scales_12intervaltree_Interval = 0;
static PyTypeObject *__pyx_ptype_6Mikado_6scales_12intervaltree_IntervalTree = 0;
static float __pyx_v_6Mikado_6scales_12intervaltree_nlog;
static struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_6Mikado_6scales_12intervaltree_EmptyNode = 0;
static CYTHON_INLINE int __pyx_f_6Mikado_6scales_12intervaltree_imax2(int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_6Mikado_6scales_12intervaltree_imax3(int, int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_6Mikado_6scales_12intervaltree_imin3(int, int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_6Mikado_6scales_12intervaltree_imin2(int, int); /*proto*/
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static const char __pyx_k_right[] = "right";
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static const char __pyx_k_import[] = "__import__";
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static const char __pyx_k_attrgetter[] = "attrgetter";
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static const char __pyx_k_start_must_be_less_than_end[] = "start must be less than end";
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static PyObject *__pyx_kp_s_Interval_d_d;
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static PyObject *__pyx_kp_s__4;
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static PyObject *__pyx_n_s_extend;
static PyObject *__pyx_n_s_find;
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static PyObject *__pyx_n_s_insert;
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static PyObject *__pyx_n_s_intersect;
static PyObject *__pyx_n_s_interval;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_n_s_left;
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static PyObject *__pyx_n_s_n;
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static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_9left_node___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_10right_node___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_9root_node___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode___repr__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_2__cinit__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, PyObject *__pyx_v_interval); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_4insert(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, PyObject *__pyx_v_interval); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_6intersect(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, CYTHON_UNUSED PyObject *__pyx_v_sort); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_8left(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, PyObject *__pyx_v_position, int __pyx_v_n, int __pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_10right(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, PyObject *__pyx_v_position, int __pyx_v_n, int __pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_12traverse(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, PyObject *__pyx_v_func); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_8interval___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_8interval_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_8interval_4__del__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_5start___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_5start_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_3end___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_12IntervalNode_3end_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval___init__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, PyObject *__pyx_v_value, PyObject *__pyx_v_chrom, PyObject *__pyx_v_strand); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_2__repr__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_4__richcmp__(PyObject *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_op); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5start___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5start_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_3end___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_3end_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5begin___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5begin_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5value___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5value_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5value_4__del__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5chrom___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5chrom_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_5chrom_4__del__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_8Interval_6strand___get__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_6strand_2__set__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_8Interval_6strand_4__del__(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *__pyx_v_self); /* proto */
static int __pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree___cinit__(CYTHON_UNUSED struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_2insert(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_4find(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, int __pyx_v_start, int __pyx_v_end, int __pyx_v_max_distance, int __pyx_v_num_intervals); /* proto */
static Py_ssize_t __pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_6__len__(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_8before(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_position, PyObject *__pyx_v_num_intervals, PyObject *__pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_10after(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_position, PyObject *__pyx_v_num_intervals, PyObject *__pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_12insert_interval(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_interval); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_14before_interval(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_interval, PyObject *__pyx_v_num_intervals, PyObject *__pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_16after_interval(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_interval, PyObject *__pyx_v_num_intervals, PyObject *__pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_18upstream_of_interval(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_interval, PyObject *__pyx_v_num_intervals, PyObject *__pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_20downstream_of_interval(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_interval, PyObject *__pyx_v_num_intervals, PyObject *__pyx_v_max_dist); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_22traverse(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *__pyx_v_self, PyObject *__pyx_v_fn); /* proto */
static PyObject *__pyx_pf_6Mikado_6scales_12intervaltree_12IntervalTree_24from_tuples(CYTHON_UNUSED PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_tuples); /* proto */
static PyObject *__pyx_tp_new_6Mikado_6scales_12intervaltree_IntervalNode(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6Mikado_6scales_12intervaltree_Interval(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6Mikado_6scales_12intervaltree_IntervalTree(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->interval);
  Py_CLEAR(p->cleft);
  Py_CLEAR(p->cright);
  Py_CLEAR(p->croot);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6Mikado_6scales_12intervaltree_IntervalNode(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *)o;
  if (p->interval) {
    e = (*v)(p->interval, a); if (e) return e;
  }
  if (p->cleft) {
    e = (*v)(((PyObject*)p->cleft), a); if (e) return e;
  }
  if (p->cright) {
    e = (*v)(((PyObject*)p->cright), a); if (e) return e;
  }
  if (p->croot) {
    e = (*v)(((PyObject*)p->croot), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6Mikado_6scales_12intervaltree_IntervalNode(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *)o;
  tmp = ((PyObject*)p->interval);
  p->interval = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->cleft);
  p->cleft = ((struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->cright);
  p->cright = ((struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->croot);
  p->croot = ((struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_left_node(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_9left_node_1__get__(o);
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_right_node(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_10right_node_1__get__(o);
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_root_node(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_9root_node_1__get__(o);
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_interval(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_8interval_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_12IntervalNode_interval(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_8interval_3__set__(o, v);
  }
  else {
    return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_8interval_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_start(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_5start_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_12IntervalNode_start(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_5start_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_end(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_3end_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_12IntervalNode_end(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_3end_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyMethodDef __pyx_methods_6Mikado_6scales_12intervaltree_IntervalNode[] = {
  {"insert", (PyCFunction)__pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_5insert, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6Mikado_6scales_12intervaltree_12IntervalNode_4insert},
  {"intersect", (PyCFunction)__pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_7intersect, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6Mikado_6scales_12intervaltree_12IntervalNode_6intersect},
  {"left", (PyCFunction)__pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_9left, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6Mikado_6scales_12intervaltree_12IntervalNode_8left},
  {"right", (PyCFunction)__pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_11right, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6Mikado_6scales_12intervaltree_12IntervalNode_10right},
  {"traverse", (PyCFunction)__pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_13traverse, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6Mikado_6scales_12intervaltree_IntervalNode[] = {
  {(char *)"left_node", __pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_left_node, 0, (char *)0, 0},
  {(char *)"right_node", __pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_right_node, 0, (char *)0, 0},
  {(char *)"root_node", __pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_root_node, 0, (char *)0, 0},
  {(char *)"interval", __pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_interval, __pyx_setprop_6Mikado_6scales_12intervaltree_12IntervalNode_interval, (char *)0, 0},
  {(char *)"start", __pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_start, __pyx_setprop_6Mikado_6scales_12intervaltree_12IntervalNode_start, (char *)0, 0},
  {(char *)"end", __pyx_getprop_6Mikado_6scales_12intervaltree_12IntervalNode_end, __pyx_setprop_6Mikado_6scales_12intervaltree_12IntervalNode_end, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6Mikado_6scales_12intervaltree_IntervalNode = {
  PyVarObject_HEAD_INIT(0, 0)
  "Mikado.scales.intervaltree.IntervalNode", /*tp_name*/
  sizeof(struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6Mikado_6scales_12intervaltree_IntervalNode, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_pw_6Mikado_6scales_12intervaltree_12IntervalNode_1__repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    A single node of an `IntervalTree`.\n\n    NOTE: Unless you really know what you are doing, you probably should use\n          `IntervalTree` rather than using this directly.\n    ", /*tp_doc*/
  __pyx_tp_traverse_6Mikado_6scales_12intervaltree_IntervalNode, /*tp_traverse*/
  __pyx_tp_clear_6Mikado_6scales_12intervaltree_IntervalNode, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6Mikado_6scales_12intervaltree_IntervalNode, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6Mikado_6scales_12intervaltree_IntervalNode, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6Mikado_6scales_12intervaltree_IntervalNode, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_6Mikado_6scales_12intervaltree_Interval(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *)o);
  p->value = Py_None; Py_INCREF(Py_None);
  p->chrom = Py_None; Py_INCREF(Py_None);
  p->strand = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6Mikado_6scales_12intervaltree_Interval(PyObject *o) {
  struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->value);
  Py_CLEAR(p->chrom);
  Py_CLEAR(p->strand);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6Mikado_6scales_12intervaltree_Interval(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *)o;
  if (p->value) {
    e = (*v)(p->value, a); if (e) return e;
  }
  if (p->chrom) {
    e = (*v)(p->chrom, a); if (e) return e;
  }
  if (p->strand) {
    e = (*v)(p->strand, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6Mikado_6scales_12intervaltree_Interval(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval *)o;
  tmp = ((PyObject*)p->value);
  p->value = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->chrom);
  p->chrom = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->strand);
  p->strand = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_start(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5start_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_start(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5start_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_end(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_3end_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_end(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_3end_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_begin(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5begin_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_begin(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5begin_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_value(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5value_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_value(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5value_3__set__(o, v);
  }
  else {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5value_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_chrom(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5chrom_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_chrom(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5chrom_3__set__(o, v);
  }
  else {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5chrom_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_strand(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_6strand_1__get__(o);
}

static int __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_strand(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_6strand_3__set__(o, v);
  }
  else {
    return __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_6strand_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6Mikado_6scales_12intervaltree_Interval[] = {
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6Mikado_6scales_12intervaltree_Interval[] = {
  {(char *)"start", __pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_start, __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_start, (char *)0, 0},
  {(char *)"end", __pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_end, __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_end, (char *)0, 0},
  {(char *)"begin", __pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_begin, __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_begin, (char *)0, 0},
  {(char *)"value", __pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_value, __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_value, (char *)0, 0},
  {(char *)"chrom", __pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_chrom, __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_chrom, (char *)0, 0},
  {(char *)"strand", __pyx_getprop_6Mikado_6scales_12intervaltree_8Interval_strand, __pyx_setprop_6Mikado_6scales_12intervaltree_8Interval_strand, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6Mikado_6scales_12intervaltree_Interval = {
  PyVarObject_HEAD_INIT(0, 0)
  "Mikado.scales.intervaltree.Interval", /*tp_name*/
  sizeof(struct __pyx_obj_6Mikado_6scales_12intervaltree_Interval), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6Mikado_6scales_12intervaltree_Interval, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_3__repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Basic feature, with required integer start and end properties.\n    Also accepts optional strand as +1 or -1 (used for up/downstream queries),\n    a name, and any arbitrary data is sent in on the info keyword argument\n\n    >>> from bx.intervals.intersection import Interval\n\n    >>> f1 = Interval(23, 36)\n    >>> f2 = Interval(34, 48, value={'chr':12, 'anno':'transposon'})\n    >>> f2\n    Interval(34, 48, value={'anno': 'transposon', 'chr': 12})\n\n    ", /*tp_doc*/
  __pyx_tp_traverse_6Mikado_6scales_12intervaltree_Interval, /*tp_traverse*/
  __pyx_tp_clear_6Mikado_6scales_12intervaltree_Interval, /*tp_clear*/
  __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_5__richcmp__, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6Mikado_6scales_12intervaltree_Interval, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6Mikado_6scales_12intervaltree_Interval, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_6Mikado_6scales_12intervaltree_8Interval_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6Mikado_6scales_12intervaltree_Interval, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_6Mikado_6scales_12intervaltree_IntervalTree(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *)o);
  p->root = ((struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_6Mikado_6scales_12intervaltree_12IntervalTree_1__cinit__(o, __pyx_empty_tuple, NULL) < 0)) {
    Py_DECREF(o); o = 0;
  }
  return o;
}

static void __pyx_tp_dealloc_6Mikado_6scales_12intervaltree_IntervalTree(PyObject *o) {
  struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->root);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6Mikado_6scales_12intervaltree_IntervalTree(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *)o;
  if (p->root) {
    e = (*v)(((PyObject*)p->root), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6Mikado_6scales_12intervaltree_IntervalTree(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *p = (struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalTree *)o;
  tmp = ((PyObject*)p->root);
  p->root = ((struct __pyx_obj_6Mikado_6scales_12intervaltree_IntervalNode *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
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#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    if (full_traceback) {
        Py_XINCREF(old_exc);
        Py_XINCREF(old_val);
        Py_XINCREF(old_tb);
        __Pyx_ErrRestore(old_exc, old_val, old_tb);
        PyErr_PrintEx(1);
    }
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
#ifdef WITH_THREAD
    if (nogil)
        PyGILState_Release(state);
#endif
}

/* PyIntBinop */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a - b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

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

/* GetModuleGlobalName */
static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

/* SliceTupleAndList */
  #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_crop_slice(Py_ssize_t* _start, Py_ssize_t* _stop, Py_ssize_t* _length) {
    Py_ssize_t start = *_start, stop = *_stop, length = *_length;
    if (start < 0) {
        start += length;
        if (start < 0)
            start = 0;
    }
    if (stop < 0)
        stop += length;
    else if (stop > length)
        stop = length;
    *_length = stop - start;
    *_start = start;
    *_stop = stop;
}
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject** CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject* __Pyx_PyList_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyList_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyList_New(0);
    dest = PyList_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyListObject*)src)->ob_item + start,
        ((PyListObject*)dest)->ob_item,
        length);
    return dest;
}
static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyTuple_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyTuple_New(0);
    dest = PyTuple_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyTupleObject*)src)->ob_item + start,
        ((PyTupleObject*)dest)->ob_item,
        length);
    return dest;
}
#endif

/* PyIntBinop */
  #if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    }
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* 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

/* PyObjectCallOneArg */
  #if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

/* PyIntBinop */
    #if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                #if PyLong_SHIFT < 30 && PyLong_SHIFT != 15
                default: return PyLong_Type.tp_richcompare(op1, op2, Py_EQ);
                #else
                default: Py_RETURN_FALSE;
                #endif
            }
        }
            if (a == b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            if ((double)a == (double)b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    return PyObject_RichCompare(op1, op2, Py_EQ);
}
#endif

/* KeywordStringCheck */
    static CYTHON_INLINE int __Pyx_CheckKeywordStrings(
    PyObject *kwdict,
    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(kwdict, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    while (PyDict_Next(kwdict, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_CheckExact(key)) && 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:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

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

/* UnicodeEquals */
    static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
        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_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
}

/* SetVTable */
    static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* Import */
    static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* GetNameInClass */
    static PyObject *__Pyx_GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    result = __Pyx_PyObject_GetAttrStr(nmspace, name);
    if (!result)
        result = __Pyx_GetModuleGlobalName(name);
    return result;
}

/* CodeObjectCache */
    static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static 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);
}

/* AddTraceback */
    #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
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,
        __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;
    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(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

/* 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_int(int value) {
    const int neg_one = (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);
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* ClassMethod */
    static PyObject* __Pyx_Method_ClassMethod(PyObject *method) {
#if CYTHON_COMPILING_IN_PYPY
    if (PyObject_TypeCheck(method, &PyWrapperDescr_Type)) {
        return PyClassMethod_New(method);
    }
#else
    static PyTypeObject *methoddescr_type = NULL;
    if (methoddescr_type == NULL) {
       PyObject *meth = PyObject_GetAttrString((PyObject*)&PyList_Type, "append");
       if (!meth) return NULL;
       methoddescr_type = Py_TYPE(meth);
       Py_DECREF(meth);
    }
    if (PyObject_TypeCheck(method, methoddescr_type)) {
        PyMethodDescrObject *descr = (PyMethodDescrObject *)method;
        #if PY_VERSION_HEX < 0x03020000
        PyTypeObject *d_type = descr->d_type;
        #else
        PyTypeObject *d_type = descr->d_common.d_type;
        #endif
        return PyDescr_NewClassMethod(d_type, descr->d_method);
    }
#endif
    else if (PyMethod_Check(method)) {
        return PyClassMethod_New(PyMethod_GET_FUNCTION(method));
    }
    else if (PyCFunction_Check(method)) {
        return PyClassMethod_New(method);
    }
#ifdef __Pyx_CyFunction_USED
    else if (PyObject_TypeCheck(method, __pyx_CyFunctionType)) {
        return PyClassMethod_New(method);
    }
#endif
    PyErr_SetString(PyExc_TypeError,
                   "Class-level classmethod() can only be called on "
                   "a method_descriptor or instance method.");
    return NULL;
}

/* CIntFromPy */
    static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (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))
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } 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))
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, 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;
}

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (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);
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
    static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (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))
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } 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))
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, 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;
}

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

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__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)) {
#if PY_VERSION_HEX < 0x03030000
        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
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (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
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (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 PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  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(x);
  }
#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 PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
