Generated by Cython 0.10.3 on Tue Feb 3 11:30:42 2009
Raw output: _Users_wstein__sage_sage_notebook_worksheets_admin_26_code_sage214_spyx_0.c
1:
#if PY_MAJOR_VERSION < 3 return; #else return __pyx_m; #endif __pyx_L1_error:; Py_XDECREF(__pyx_1); Py_XDECREF(__pyx_2); __Pyx_AddTraceback("_Users_wstein__sage_sage_notebook_worksheets_admin_26_code_sage214_spyx_0"); #if PY_MAJOR_VERSION >= 3 return NULL; #endif }
2: include "interrupt.pxi" # ctrl-c interrupt block support
3: include "stdsage.pxi" # ctrl-c interrupt block support
4:
5: include "cdefs.pxi"
6: from sage.all import is_square
__pyx_1 = PyList_New(1); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 6; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_INCREF(__pyx_kp_is_square); PyList_SET_ITEM(__pyx_1, 0, __pyx_kp_is_square); __pyx_2 = __Pyx_Import(__pyx_kp_1, ((PyObject *)__pyx_1)); if (unlikely(!__pyx_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 6; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_1)); __pyx_1 = 0; __pyx_1 = PyObject_GetAttr(__pyx_2, __pyx_kp_is_square); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 6; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (PyObject_SetAttr(__pyx_m, __pyx_kp_is_square, __pyx_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 6; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_1); __pyx_1 = 0; Py_DECREF(__pyx_2); __pyx_2 = 0;
7: cdef extern from "math.h":
8: long double sqrtl(long double)
9:
10: def f(n):
static PyObject *__pyx_pf_73_Users_wstein__sage_sage_notebook_worksheets_admin_26_code_sage214_spyx_0_f(PyObject *__pyx_self, PyObject *__pyx_v_n); /*proto*/ static char __pyx_doc_73_Users_wstein__sage_sage_notebook_worksheets_admin_26_code_sage214_spyx_0_f[] = "File: _Users_wstein__sage_sage_notebook_worksheets_admin_26_code_sage214_spyx_0.pyx (starting at line 10)"; static PyObject *__pyx_pf_73_Users_wstein__sage_sage_notebook_worksheets_admin_26_code_sage214_spyx_0_f(PyObject *__pyx_self, PyObject *__pyx_v_n) { PyObject *__pyx_v_uitkomst1; PyObject *__pyx_v_uitkomst2; PY_LONG_LONG __pyx_v_eind; PY_LONG_LONG __pyx_v_y; PY_LONG_LONG __pyx_v_t; PyObject *__pyx_v_een; PyObject *__pyx_v_twee; PyObject *__pyx_v_x; PyObject *__pyx_r; __pyx_self = __pyx_self; __pyx_v_uitkomst1 = Py_None; Py_INCREF(Py_None); __pyx_v_uitkomst2 = Py_None; Py_INCREF(Py_None); __pyx_v_een = Py_None; Py_INCREF(Py_None); __pyx_v_twee = Py_None; Py_INCREF(Py_None); __pyx_v_x = Py_None; Py_INCREF(Py_None);
11: uitkomst1=[]
__pyx_1 = PyList_New(0); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 11; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_v_uitkomst1); __pyx_v_uitkomst1 = ((PyObject *)__pyx_1); __pyx_1 = 0;
12: uitkomst2=[]
__pyx_1 = PyList_New(0); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 12; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_v_uitkomst2); __pyx_v_uitkomst2 = ((PyObject *)__pyx_1); __pyx_1 = 0;
13: cdef long long eind=int((n+2)/(2*sqrt(3)))
__pyx_1 = __pyx_v_n; Py_INCREF(__pyx_1); __pyx_t_1 = PyNumber_Add(__pyx_1, __pyx_int_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_1); __pyx_1 = 0; __pyx_1 = PyFloat_FromDouble((2 * sqrt(3))); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_t_1); __pyx_t_1 = 0; Py_DECREF(__pyx_1); __pyx_1 = 0; __pyx_1 = PyTuple_New(1); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;} PyTuple_SET_ITEM(__pyx_1, 0, __pyx_t_2); __pyx_t_2 = 0; __pyx_2 = PyObject_Call(((PyObject *)((PyObject*)&PyInt_Type)), ((PyObject *)__pyx_1), NULL); if (unlikely(!__pyx_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_1)); __pyx_1 = 0; __pyx_3 = __pyx_PyInt_AsLongLong(__pyx_2); if (unlikely((__pyx_3 == (PY_LONG_LONG)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 13; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_2); __pyx_2 = 0; __pyx_v_eind = __pyx_3;
14: cdef long long y, t
15: print eind
__pyx_1 = PyLong_FromLongLong(__pyx_v_eind); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 15; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_2 = PyTuple_New(1); if (unlikely(!__pyx_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 15; __pyx_clineno = __LINE__; goto __pyx_L1_error;} PyTuple_SET_ITEM(__pyx_2, 0, __pyx_1); __pyx_1 = 0; if (__Pyx_Print(((PyObject *)__pyx_2), 1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 15; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_2)); __pyx_2 = 0;
16: for y in range(1,eind):
for (__pyx_v_y = 1; __pyx_v_y < __pyx_v_eind; __pyx_v_y+=1) {
17: t = <long long>sqrtl(<long long> (3*y*y + 1))
__pyx_v_t = ((PY_LONG_LONG)sqrtl(((PY_LONG_LONG)(((3 * __pyx_v_y) * __pyx_v_y) + 1))));
18: if t * t == 3*y*y + 1:
__pyx_4 = ((__pyx_v_t * __pyx_v_t) == (((3 * __pyx_v_y) * __pyx_v_y) + 1)); if (__pyx_4) {
19: uitkomst1.append((y, (2*t-1)/3))
__pyx_1 = PyLong_FromLongLong(__pyx_v_y); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 19; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_2 = PyLong_FromLongLong((((2 * __pyx_v_t) - 1) / 3)); if (unlikely(!__pyx_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 19; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_5 = PyTuple_New(2); if (unlikely(!__pyx_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 19; __pyx_clineno = __LINE__; goto __pyx_L1_error;} PyTuple_SET_ITEM(__pyx_5, 0, __pyx_1); PyTuple_SET_ITEM(__pyx_5, 1, __pyx_2); __pyx_1 = 0; __pyx_2 = 0; __pyx_1 = __Pyx_PyObject_Append(__pyx_v_uitkomst1, ((PyObject *)__pyx_5)); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 19; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_5)); __pyx_5 = 0; Py_DECREF(__pyx_1); __pyx_1 = 0; goto __pyx_L7; } __pyx_L7:;
20: t = <long long>sqrtl(<long long> (48*y*y + 1))
__pyx_v_t = ((PY_LONG_LONG)sqrtl(((PY_LONG_LONG)(((48 * __pyx_v_y) * __pyx_v_y) + 1))));
21: if t * t == 48*y*y + 1:
__pyx_4 = ((__pyx_v_t * __pyx_v_t) == (((48 * __pyx_v_y) * __pyx_v_y) + 1)); if (__pyx_4) {
22: uitkomst2.append((y, (2*t+1)/3))
__pyx_2 = PyLong_FromLongLong(__pyx_v_y); if (unlikely(!__pyx_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 22; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_5 = PyLong_FromLongLong((((2 * __pyx_v_t) + 1) / 3)); if (unlikely(!__pyx_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 22; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_1 = PyTuple_New(2); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 22; __pyx_clineno = __LINE__; goto __pyx_L1_error;} PyTuple_SET_ITEM(__pyx_1, 0, __pyx_2); PyTuple_SET_ITEM(__pyx_1, 1, __pyx_5); __pyx_2 = 0; __pyx_5 = 0; __pyx_2 = __Pyx_PyObject_Append(__pyx_v_uitkomst2, ((PyObject *)__pyx_1)); if (unlikely(!__pyx_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 22; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_1)); __pyx_1 = 0; Py_DECREF(__pyx_2); __pyx_2 = 0; goto __pyx_L8; } __pyx_L8:; }
23: print uitkomst1
__pyx_5 = PyTuple_New(1); if (unlikely(!__pyx_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 23; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_INCREF(__pyx_v_uitkomst1); PyTuple_SET_ITEM(__pyx_5, 0, __pyx_v_uitkomst1); if (__Pyx_Print(((PyObject *)__pyx_5), 1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 23; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_5)); __pyx_5 = 0;
24: een=sum([3*x-1 for (y,x) in uitkomst1 if 3*x-1<10^9])
__pyx_1 = PyList_New(0); if (unlikely(!__pyx_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (PyList_CheckExact(__pyx_v_uitkomst1) || PyTuple_CheckExact(__pyx_v_uitkomst1)) { __pyx_6 = 0; __pyx_2 = __pyx_v_uitkomst1; Py_INCREF(__pyx_2); } else { __pyx_6 = -1; __pyx_2 = PyObject_GetIter(__pyx_v_uitkomst1); if (unlikely(!__pyx_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} } for (;;) { if (likely(PyList_CheckExact(__pyx_2))) { if (__pyx_6 >= PyList_GET_SIZE(__pyx_2)) break; __pyx_5 = PyList_GET_ITEM(__pyx_2, __pyx_6); Py_INCREF(__pyx_5); __pyx_6++; } else if (likely(PyTuple_CheckExact(__pyx_2))) { if (__pyx_6 >= PyTuple_GET_SIZE(__pyx_2)) break; __pyx_5 = PyTuple_GET_ITEM(__pyx_2, __pyx_6); Py_INCREF(__pyx_5); __pyx_6++; } else { __pyx_5 = PyIter_Next(__pyx_2); if (!__pyx_5) { if (unlikely(PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} break; } } if (PyTuple_CheckExact(__pyx_5) && PyTuple_GET_SIZE(__pyx_5) == 2) { PyObject* tuple = __pyx_5; __pyx_8 = PyTuple_GET_ITEM(tuple, 0); Py_INCREF(__pyx_8); __pyx_3 = __pyx_PyInt_AsLongLong(__pyx_8); if (unlikely((__pyx_3 == (PY_LONG_LONG)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_8); __pyx_8 = 0; __pyx_v_y = __pyx_3; __pyx_8 = PyTuple_GET_ITEM(tuple, 1); Py_INCREF(__pyx_8); Py_DECREF(__pyx_v_x); __pyx_v_x = __pyx_8; __pyx_8 = 0; Py_DECREF(__pyx_5); __pyx_5 = 0; } else { __pyx_7 = PyObject_GetIter(__pyx_5); if (unlikely(!__pyx_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_5); __pyx_5 = 0; __pyx_8 = __Pyx_UnpackItem(__pyx_7, 0); if (unlikely(!__pyx_8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_3 = __pyx_PyInt_AsLongLong(__pyx_8); if (unlikely((__pyx_3 == (PY_LONG_LONG)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_8); __pyx_8 = 0; __pyx_v_y = __pyx_3; __pyx_8 = __Pyx_UnpackItem(__pyx_7, 1); if (unlikely(!__pyx_8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_v_x); __pyx_v_x = __pyx_8; __pyx_8 = 0; if (__Pyx_EndUnpack(__pyx_7) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_7); __pyx_7 = 0; } __pyx_8 = __pyx_int_3; Py_INCREF(__pyx_8); __pyx_t_2 = PyNumber_Multiply(__pyx_8, __pyx_v_x); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_8); __pyx_8 = 0; __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_int_1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_t_2); __pyx_t_2 = 0; __pyx_5 = PyInt_FromLong((10 ^ 9)); if (unlikely(!__pyx_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_7 = PyObject_RichCompare(__pyx_t_1, __pyx_5, Py_LT); if (unlikely(!__pyx_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_t_1); __pyx_t_1 = 0; Py_DECREF(__pyx_5); __pyx_5 = 0; __pyx_4 = __Pyx_PyObject_IsTrue(__pyx_7); if (unlikely(__pyx_4 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_7); __pyx_7 = 0; if (__pyx_4) { __pyx_8 = __pyx_int_3; Py_INCREF(__pyx_8); __pyx_t_1 = PyNumber_Multiply(__pyx_8, __pyx_v_x); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_8); __pyx_8 = 0; __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_int_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_t_1); __pyx_t_1 = 0; __pyx_9 = PyList_Append(__pyx_1, (PyObject*)__pyx_t_2); if (unlikely(__pyx_9)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(__pyx_t_2); __pyx_t_2 = 0; goto __pyx_L11; } __pyx_L11:; } Py_DECREF(__pyx_2); __pyx_2 = 0; __pyx_5 = PyTuple_New(1); if (unlikely(!__pyx_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} PyTuple_SET_ITEM(__pyx_5, 0, ((PyObject *)__pyx_1)); __pyx_1 = 0; __pyx_7 = PyObject_Call(__pyx_builtin_sum, ((PyObject *)__pyx_5), NULL); if (unlikely(!__pyx_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 24; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_5)); __pyx_5 = 0; Py_DECREF(__pyx_v_een); __pyx_v_een = __pyx_7; __pyx_7 = 0;
25: print uitkomst2
__pyx_8 = PyTuple_New(1); if (unlikely(!__pyx_8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 25; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_INCREF(__pyx_v_uitkomst2); PyTuple_SET_ITEM(__pyx_8, 0, __pyx_v_uitkomst2); if (__Pyx_Print(((PyObject *)__pyx_8), 1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 25; __pyx_clineno = __LINE__; goto __pyx_L1_error;} Py_DECREF(((PyObject *)__pyx_8)); __pyx_8 = 0;
26: twee=sum([3*x+1 for (y,x) in uitkomst2 if 3*x+1<10^9])
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27: print een+twee
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