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quick sort 的一种简单实现

时间:2014-11-17 17:24:14      阅读:329      评论:0      收藏:0      [点我收藏+]

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第一种方法使用随机pivot,使得尽可能平均二分序列,而实际上一般来说需要排序的集合往往是乱序的,无需重新生成随机数作为pivot,大可使用固定位置的数作为pivot,这样便可以适应绝大多数情况,并且简化了逻辑,便有了第二种simple quick Sort。

 

#排序1万个乱序:
simple QS: 2014-11-17 16:53:03.450000 38ms my_quick_sort: 2014-11-17 16:53:03.488000 35ms default sort: 2014-11-17 16:53:03.523000 after sort: 2014-11-17 16:53:03.524000 2014-11-17 16:53:03.524000
#排序1万个有序:
simple QS: 2014-11-17 16:53:03.524000 35ms my_quick_sort: 2014-11-17 16:53:03.559000 35ms default sort: 2014-11-17 16:53:03.594000 after sort: 2014-11-17 16:53:03.594000

#9万个有序:
simple QS:       2014-11-17 16:57:12.885000 367ms
my_quick_sort:   2014-11-17 16:57:13.252000 352ms
default sort:    2014-11-17 16:57:13.604000 1ms
after sort:      2014-11-17 16:57:13.605000

 

bubuko.com,布布扣
#-------------------------------------------------------------------------------
# Name:        quick sort
# Purpose:
#
# Author:      ScottGu<gu.kai.66@gmail.com, 150316990@qq.com>
#
# Created:     04/09/2013
# Copyright:   (c) ScottGu<gu.kai.66@gmail.com, 150316990@qq.com> 2013
# Licence:     <your licence>
#-------------------------------------------------------------------------------
from datetime import datetime
from random import randint

def quick_sort(lst):
    if len(lst)==0:
        return lst
    else:
        pivot_idx = randint(0, len(lst) - 1)
        pivot = lst[pivot_idx]
        lesser=quick_sort([val for idx, val in enumerate(lst) 
                           if val <= pivot and idx!=pivot_idx])
        greater=quick_sort([x for x in lst if x > pivot])
        return lesser+[pivot]+greater

def quick_sort_simple(lst):
    if len(lst)==0:
        return lst
    else:
        pivot = lst[0]
        lesser=quick_sort([x for x in lst[1:] if x <= pivot])
        greater=quick_sort([x for x in lst[1:] if x > pivot])
        return lesser+[pivot]+greater


def main():
    lst=[1, 2, 3, 4, 5, 1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681,  682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
                       1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,  40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,  53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,  79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,  92,  93,  94,  95,  96,  97,  98,  99,  100,  101,  102,  103,  104,  105,  106,  107,  108,  109,  110,  111,  112,  113,  114,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,  144,  145,  146,  147,  148,  149,  150,  151,  152,  153,  154,  155,  156,  157,  158,  159,  160,  161,  162,  163,  164,  165,  166,  167,  168,  169,  170,  171,  172,  173,  174,  175,  176,  177,  178,  179,  180,  181,  182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348,  349,  350,  351,  352,  353,  354,  355,  356,  357,  358,  359,  360,  361,  362,  363,  364,  365,  366,  367,  368,  369,  370,  371,  372,  373,  374,  375,  376,  377,  378,  379,  380,  381,  382,  383,  384,  385,  386,  387,  388,  389,  390,  391,  392,  393,  394,  395,  396,  397,  398,  399,  400,  401,  402,  403,  404,  405,  406,  407,  408,  409,  410,  411,  412,  413,  414,  415,  416,  417,  418,  419,  420,  421,  422,  423,  424,  425,  426,  427,  428,  429,  430,  431,  432,  433,  434,  435,  436,  437,  438,  439,  440,  441,  442,  443,  444,  445,  446,  447,  448,  449,  450,  451,  452,  453,  454,  455,  456,  457,  458,  459,  460,  461,  462,  463,  464,  465,  466,  467,  468,  469,  470,  471,  472,  473,  474,  475,  476,  477,  478,  479,  480,  481,  482,  483,  484,  485,  486,  487,  488,  489,  490,  491,  492,  493,  494,  495,  496,  497,  498,  499,  500,  501,  502,  503,  504,  505,  506,  507,  508,  509,  510,  511,  512,  513,  514,  515,  516,  517,  518,  519,  520,  521,  522,  523,  524,  525,  526,  527,  528,  529,  530,  531,  532,  533,  534,  535,  536,  537,  538,  539,  540,  541,  542,  543,  544,  545,  546,  547,  548,  549,  550,  551,  552,  553,  554,  555,  556,  557,  558,  559,  560,  561,  562,  563,  564,  565,  566,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  577,  578,  579,  580,  581,  582,  583,  584,  585,  586,  587,  588,  589,  590,  591,  592,  593,  594,  595,  596,  597,  598,  599,  600,  601,  602,  603,  604,  605,  606,  607,  608,  609,  610,  611,  612,  613,  614,  615,  616,  617,  618,  619,  620,  621,  622,  623,  624,  625,  626,  627,  628,  629,  630,  631,  632,  633,  634,  635,  636,  637,  638,  639,  640,  641,  642,  643,  644,  645,  646,  647,  648,  649,  650,  651,  652,  653,  654,  655,  656,  657,  658,  659,  660,  661,  662,  663,  664,  665,  666,  667,  668,  669,  670,  671,  672,  673,  674,  675,  676,  677,  678,  679,  680,  681, 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848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 
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182,  183,  184,  185,  186,  187,  188,  189,  190,  191,  192,  193,  194,  195,  196,  197,  198,  199,  200,  201,  202,  203,  204,  205,  206,  207,  208,  209,  210,  211,  212,  213,  214,  215,  216,  217,  218,  219,  220,  221,  222,  223,  224,  225,  226,  227,  228,  229,  230,  231,  232,  233,  234,  235,  236,  237,  238,  239,  240,  241,  242,  243,  244,  245,  246,  247,  248,  249,  250,  251,  252,  253,  254,  255,  256,  257,  258,  259,  260,  261,  262,  263,  264,  265,  266,  267,  268,  269,  270,  271,  272,  273,  274,  275,  276,  277,  278,  279,  280,  281,  282,  283,  284,  285,  286,  287,  288,  289,  290,  291,  292,  293,  294,  295,  296,  297,  298,  299,  300,  301,  302,  303,  304,  305,  306,  307,  308,  309,  310,  311,  312,  313,  314,  315,  316,  317,  318,  319,  320,  321,  322,  323,  324,  325,  326,  327,  328,  329,  330,  331,  332,  333,  334,  335,  336,  337,  338,  339,  340,  341,  342,  343,  344,  345,  346,  347,  348, 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 682,  683,  684,  685,  686,  687,  688,  689,  690,  691,  692,  693,  694,  695,  696,  697,  698,  699,  700,  701,  702,  703,  704,  705,  706,  707,  708,  709,  710,  711,  712,  713,  714,  715,  716,  717,  718,  719,  720,  721,  722,  723,  724,  725,  726,  727,  728,  729,  730,  731,  732,  733,  734,  735,  736,  737,  738,  739,  740,  741,  742,  743,  744,  745,  746,  747,  748,  749,  750,  751,  752,  753,  754,  755,  756,  757,  758,  759,  760,  761,  762,  763,  764,  765,  766,  767,  768,  769,  770,  771,  772,  773,  774,  775,  776,  777,  778,  779,  780,  781,  782,  783,  784,  785,  786,  787,  788,  789,  790,  791,  792,  793,  794,  795,  796,  797,  798,  799,  800,  801,  802,  803,  804,  805,  806,  807,  808,  809,  810,  811,  812,  813,  814,  815,  816,  817,  818,  819,  820,  821,  822,  823,  824,  825,  826,  827,  828,  829,  830,  831,  832,  833,  834,  835,  836,  837,  838,  839,  840,  841,  842,  843,  844,  845,  846,  847,  848,  849,  850,  851,  852,  853,  854,  855,  856,  857,  858,  859,  860,  861,  862,  863,  864,  865,  866,  867,  868,  869,  870,  871,  872,  873,  874,  875,  876,  877,  878,  879,  880,  881,  882,  883,  884,  885,  886,  887,  888,  889,  890,  891,  892,  893,  894,  895,  896,  897,  898,  899,  900,  901,  902,  903,  904,  905,  906,  907,  908,  909,  910,  911,  912,  913,  914,  915,  916,  917,  918,  919,  920,  921,  922,  923,  924,  925,  926,  927,  928,  929,  930,  931,  932,  933,  934,  935,  936,  937,  938,  939,  940,  941,  942,  943,  944,  945,  946,  947,  948,  949,  950,  951,  952,  953,  954,  955,  956,  957,  958,  959,  960,  961,  962,  963,  964,  965,  966,  967,  968,  969,  970,  971,  972,  973,  974,  975,  976,  977,  978,  979,  980,  981,  982,  983,  984,  985,  986,  987,  988,  989,  990,  991,  992,  993,  994,  995,  996,  997,  998, 999]
    print simple QS:       +str(datetime.now())
    quick_sort_simple(lst)
    print my_quick_sort:   +str(datetime.now())
    quick_sort(lst)
    print default sort:    +str(datetime.now())
    lst.sort()
    print after sort:      +str(datetime.now())

    print quick_sort_simple(lst)
    print                  +str(datetime.now())
    
if __name__ == __main__:
    main()
View Code

 

quick sort 的一种简单实现

标签:style   blog   http   color   ar   os   使用   sp   for   

原文地址:http://www.cnblogs.com/scottgu/p/4103921.html

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