BUPT Summer Journey #test11 A

 

A. 小妹妹个数 2014新生暑假个人排位赛11

时间限制 3000 ms    内存限制 65536 KB    

题目描述

喜欢焦叔叔的小妹妹实在是太多了，以至于焦叔叔不得不给她们编号1-N。焦叔叔对于编号为质数的小妹妹有种特别的好感，由于有好感的小妹妹数目太多，焦叔叔自己都数不清楚了，请你来帮忙数一下。

输入格式

多组数据，每行一个正整数N，N不大于1000000000。

数据组数小于15。

输出格式

每行一个数字，有好感的小妹妹数。

输入样例

5

输出样例

3

思路：把原区间分成长度为10000的100000个区间，然后对每个区间，预处理出前10000个质数。再扫描判定每个区间内的质数个数。

代码：

#include<iostream>#include<cstdio>#include<cstdlib>#include<cstring>#include<cmath>using namespace std;int sum[100005]={0,1229,2262,3245,4203,5133,6057,6935,7837,8713,9592,10453,11301,12159,13010,13848,14683,15497,16342,17170,17984,18807,19618,20437,21221,22044,22837,23642,24432,25224,25997,26800,27608,28404,29182,29977,30757,31522,32300,33067,33860,34614,35390,36162,36941,37706,38458,39223,40005,40766,41538,42291,43061,43825,44572,45322,46072,46819,47588,48351,49098,49861,50612,51341,52074,52831,53564,54309,55063,55815,56543,57306,58029,58789,59531,60238,60978,61733,62468,63206,63951,64683,65416,66161,66890,67617,68342,69095,69823,70555,71274,72026,72734,73474,74187,74907,75618,76350,77067,77777,78498,79251,79970,80702,81403,82134,82832,83548,84270,84976,85714,86450,87166,87884,88602,89302,90030,90764,91490,92225,92938,93614,94358,95051,95745,96469,97182,97900,98610,99332,100021,100730,101433,102146,102852,103544,104258,104967,105690,106385,107126,107805,108487,109205,109928,110630,111331,112047,112752,113458,114155,114886,115588,116279,116965,117663,118376,119057,119758,120451,121127,121846,122540,123250,123942,124634,125335,126051,126753,127428,128141,128837,129522,130213,130902,131608,132292,132971,133671,134359,135072,135776,136448,137166,137841,138542,139249,139952,140641,141338,142029,142718,143414,144125,144810,145502,146186,146859,147529,148219,148933,149638,150328,151021,151711,152382,153078,153772,154445,155131,155805,156504,157187,157884,158557,159250,159962,160629,161319,161998,162662,163363,164023,164718,165398,166081,166769,167470,168164,168826,169511,170201,170863,171535,172206,172873,173563,174254,174916,175621,176302,176962,177654,178326,178983,179684,180371,181039,181711,182398,183072,183748,184423,185120,185792,186462,187134,187812,188511,189204,189880,190533,191214,191886,192567,193256,193951,194613,195278,195959,196645,197324,198019,198664,199321,199993,200664,201349,202015,202678,203362,204052,204747,205414,206118,206789,207443,208116,208769,209447,210109,210790,211453,212124,212804,213453,214105,214799,215458,216129,216816,217486,218145,218808,219465,220136,220793,221457,222152,222838,223492,224168,224845,225511,226177,226835,227512,228180,228843,229534,230209,230895,231569,232241,232928,233577,234239,234916,235582,236252,236900,237573,238233,238910,239555,240230,240853,241541,242208,242877,243539,244216,244882,245554,246239,246909,247555,248209,248846,249482,250150,250801,251464,252094,252757,253412,254080,254750,255390,256057,256726,257418,258088,258774,259426,260064,260714,261376,262078,262716,263397,264052,264723,265410,266068,266717,267384,268016,268671,269330,269987,270643,271325,271999,272645,273322,273972,274618,275269,275930,276611,277262,277920,278595,279243,279921,280564,281202,281870,282504,283146,283806,284464,285132,285809,286490,287133,287786,288456,289109,289774,290437,291065,291717,292349,293010,293672,294343,294994,295667,296314,296984,297628,298291,298919,299583,300243,300887,301543,302175,302824,303486,304152,304793,305449,306084,306724,307377,308038,308700,309335,309976,310655,311338,311994,312666,313321,313981,314627,315310,315948,316601,317239,317885,318516,319164,319823,320496,321146,321786,322441,323103,323759,324404,325055,325706,326322,326987,327653,328320,328964,329616,330269,330912,331575,332219,332861,333516,334144,334801,335439,336096,336751,337382,338060,338694,339339,340008,340644,341313,341992,342643,343277,343930,344585,345235,345875,346558,347219,347872,348513,349152,349791,350449,351087,351715,352383,353022,353670,354325,354971,355603,356244,356899,357559,358198,358842,359487,360118,360759,361407,362066,362715,363365,364012,364685,365315,365964,366617,367246,367900,368554,369191,369834,370483,371131,371773,372415,373068,373722,374362,374992,375632,376289,376939,377574,378233,378874,379497,380148,380800,381438,382061,382694,383361,383979,384613,385268,385904,386545,387202,387835,388473,389111,389754,390378,391019,391654,392292,392927,393606,394241,394908,395540,396172,396826,397462,398079,398716,399353,399993,400647,401279,401906,402547,403204,403831,404466,405107,405784,406429,407077,407744,408393,409039,409672,410311,410944,411580,412224,412849,413510,414148,414812,415413,416040,416706,417321,417974,418602,419246,419898,420539,421175,421812,422449,423094,423752,424379,424998,425648,426292,426894,427547,428179,428816,429466,430113,430749,431413,432073,432719,433353,434002,434635,435265,435902,436528,437137,437765,438410,439040,439683,440318,440929,441562,442221,442853,443481,444118,444757,445399,446039,446685,447314,447955,448595,449229,449868,450527,451159,451800,452462,453077,453697,454337,454950,455598,456228,456846,457497,458152,458786,459432,460066,460707,461368,461987,462619,463239,463872,464504,465157,465791,466422,467055,467718,468378,469001,469652,470283,470920,471561,472176,472828,473470,474101,474749,475381,476011,476648,477277,477907,478560,479208,479864,480492,481086,481746,482386,483015,483678,484286,484897,485514,486167,486807,487436,488051,488681,489319,489951,490581,491216,491841,492494,493109,493756,494398,495034,495666,496294,496924,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770,50559268,50559748,50560234,50560715,50561194,50561665,50562174,50562655,50563127,50563604,50564113,50564571,50565038,50565507,50566029,50566502,50566982,50567461,50567956,50568456,50568932,50569391,50569874,50570365,50570869,50571372,50571857,50572342,50572823,50573312,50573794,50574278,50574772,50575254,50575745,50576216,50576697,50577163,50577649,50578125,50578610,50579090,50579556,50580040,50580531,50581013,50581499,50581988,50582469,50582947,50583448,50583956,50584441,50584939,50585409,50585898,50586392,50586878,50587320,50587797,50588276,50588775,50589276,50589722,50590208,50590691,50591181,50591664,50592145,50592614,50593090,50593563,50594047,50594548,50595038,50595530,50595996,50596464,50596957,50597441,50597911,50598402,50598880,50599385,50599879,50600336,50600830,50601312,50601787,50602262,50602729,50603239,50603714,50604192,50604671,50605150,50605624,50606115,50606573,50607041,50607545,50608040,50608542,50609034,50609527,50610033,50610536,50611031,50611513,50611998,50612495,50613001,50613469,50613964,50614438,50614950,50615424,50615897,50616371,50616817,50617329,50617785,50618253,50618735,50619225,50619716,50620199,50620671,50621153,50621645,50622126,50622595,50623082,50623555,50624042,50624524,50624992,50625488,50625980,50626454,50626910,50627386,50627861,50628351,50628835,50629327,50629804,50630303,50630751,50631251,50631735,50632221,50632718,50633207,50633680,50634171,50634638,50635086,50635586,50636052,50636527,50637010,50637493,50637981,50638440,50638919,50639410,50639897,50640379,50640872,50641340,50641834,50642318,50642805,50643289,50643783,50644294,50644764,50645267,50645747,50646218,50646705,50647173,50647659,50648157,50648647,50649116,50649594,50650093,50650570,50651033,50651511,50651964,50652445,50652943,50653446,50653924,50654400,50654871,50655374,50655886,50656378,50656862,50657352,50657840,50658313,50658792,50659284,50659765,50660264,50660728,50661232,50661723,50662204,50662687,50663156,50663659,50664121,50664571,50665049,50665529,50666028,50666492,50666987,50667473,50667977,50668445,50668929,50669417,50669906,50670377,50670866,50671355,50671852,50672335,50672816,50673306,50673795,50674300,50674759,50675218,50675686,50676175,50676634,50677165,50677655,50678120,50678591,50679059,50679557,50680068,50680554,50681050,50681536,50682021,50682481,50682955,50683440,50683909,50684396,50684895,50685379,50685844,50686324,50686803,50687291,50687780,50688257,50688750,50689238,50689741,50690224,50690714,50691192,50691689,50692178,50692646,50693125,50693612,50694116,50694586,50695079,50695578,50696064,50696509,50696975,50697460,50697927,50698392,50698869,50699357,50699833,50700319,50700820,50701294,50701780,50702264,50702780,50703260,50703723,50704212,50704684,50705180,50705666,50706151,50706643,50707099,50707581,50708054,50708548,50709024,50709492,50709978,50710474,50710974,50711436,50711914,50712379,50712891,50713369,50713848,50714321,50714797,50715286,50715758,50716215,50716696,50717184,50717685,50718173,50718677,50719155,50719630,50720085,50720570,50721051,50721530,50722004,50722487,50722979,50723480,50723992,50724456,50724924,50725394,50725885,50726376,50726858,50727328,50727809,50728329,50728822,50729304,50729803,50730290,50730771,50731233,50731714,50732200,50732684,50733154,50733646,50734125,50734608,50735088,50735572,50736064,50736540,50737017,50737488,50737987,50738478,50738940,50739422,50739924,50740422,50740906,50741402,50741903,50742380,50742851,50743327,50743810,50744319,50744828,50745310,50745790,50746277,50746769,50747242,50747732,50748247,50748722,50749207,50749677,50750154,50750639,50751137,50751614,50752081,50752551,50753035,50753489,50753989,50754455,50754934,50755414,50755895,50756390,50756857,50757326,50757822,50758309,50758794,50759265,50759749,50760227,50760721,50761200,50761719,50762189,50762657,50763156,50763640,50764139,50764601,50765103,50765580,50766101,50766586,50767055,50767527,50767997,50768507,50769008,50769519,50770017,50770502,50770993,50771451,50771928,50772419,50772916,50773409,50773884,50774372,50774833,50775312,50775807,50776307,50776793,50777289,50777765,50778255,50778729,50779221,50779685,50780167,50780669,50781147,50781623,50782108,50782588,50783085,50783595,50784091,50784568,50785052,50785547,50786046,50786515,50786989,50787487,50787972,50788443,50788940,50789389,50789886,50790357,50790844,50791325,50791808,50792284,50792777,50793249,50793762,50794244,50794743,50795182,50795647,50796132,50796640,50797111,50797605,50798108,50798600,50799095,50799577,50800043,50800512,50800979,50801437,50801944,50802420,50802889,50803380,50803857,50804337,50804816,50805293,50805796,50806259,50806718,50807199,50807681,50808171,50808661,50809128,50809613,50810116,50810586,50811068,50811554,50812026,50812528,50813015,50813477,50813968,50814447,50814920,50815418,50815901,50816370,50816844,50817344,50817824,50818341,50818835,50819281,50819765,50820230,50820719,50821221,50821690,50822188,50822665,50823145,50823619,50824091,50824555,50825046,50825524,50825981,50826435,50826891,50827388,50827849,50828359,50828830,50829323,50829813,50830293,50830762,50831235,50831689,50832179,50832671,50833143,50833605,50834097,50834587,50835062,50835524,50835982,50836465,50836932,50837405,50837873,50838346,50838830,50839313,50839801,50840293,50840743,50841248,50841754,50842232,50842702,50843194,50843670,50844171,50844647,50845123,50845606,50846105,50846577,50847059,50847534};int prime[10005]={0,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8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1,97843,97847,97849,97859,97861,97871,97879,97883,97919,97927,97931,97943,97961,97967,97973,97987,98009,98011,98017,98041,98047,98057,98081,98101,98123,98129,98143,98179,98207,98213,98221,98227,98251,98257,98269,98297,98299,98317,98321,98323,98327,98347,98369,98377,98387,98389,98407,98411,98419,98429,98443,98453,98459,98467,98473,98479,98491,98507,98519,98533,98543,98561,98563,98573,98597,98621,98627,98639,98641,98663,98669,98689,98711,98713,98717,98729,98731,98737,98773,98779,98801,98807,98809,98837,98849,98867,98869,98873,98887,98893,98897,98899,98909,98911,98927,98929,98939,98947,98953,98963,98981,98993,98999,99013,99017,99023,99041,99053,99079,99083,99089,99103,99109,99119,99131,99133,99137,99139,99149,99173,99181,99191,99223,99233,99241,99251,99257,99259,99277,99289,99317,99347,99349,99367,99371,99377,99391,99397,99401,99409,99431,99439,99469,99487,99497,99523,99527,99529,99551,99559,99563,99571,99577,99581,99607,99611,99623,99643,99661,99667,99679,99689,99707,99709,99713,99719,99721,99733,99761,99767,99787,99793,99809,99817,99823,99829,99833,99839,99859,99871,99877,99881,99901,99907,99923,99929,99961,99971,99989,99991,100003,100019,100043,100049,100057,100069,100103,100109,100129,100151,100153,100169,100183,100189,100193,100207,100213,100237,100267,100271,100279,100291,100297,100313,100333,100343,100357,100361,100363,100379,100391,100393,100403,100411,100417,100447,100459,100469,100483,100493,100501,100511,100517,100519,100523,100537,100547,100549,100559,100591,100609,100613,100621,100649,100669,100673,100693,100699,100703,100733,100741,100747,100769,100787,100799,100801,100811,100823,100829,100847,100853,100907,100913,100927,100931,100937,100943,100957,100981,100987,100999,101009,101021,101027,101051,101063,101081,101089,101107,101111,101113,101117,101119,101141,101149,101159,101161,101173,101183,101197,101203,101207,101209,101221,101267,101273,101279,101281,101287,101293,101323,101333,101341,101347,101359,101363,101377,101383,101399,101411,101419,101429,101449,101467,101477,101483,101489,101501,101503,101513,101527,101531,101533,101537,101561,101573,101581,101599,101603,101611,101627,101641,101653,101663,101681,101693,101701,101719,101723,101737,101741,101747,101749,101771,101789,101797,101807,101833,101837,101839,101863,101869,101873,101879,101891,101917,101921,101929,101939,101957,101963,101977,101987,101999,102001,102013,102019,102023,102031,102043,102059,102061,102071,102077,102079,102101,102103,102107,102121,102139,102149,102161,102181,102191,102197,102199,102203,102217,102229,102233,102241,102251,102253,102259,102293,102299,102301,102317,102329,102337,102359,102367,102397,102407,102409,102433,102437,102451,102461,102481,102497,102499,102503,102523,102533,102539,102547,102551,102559,102563,102587,102593,102607,102611,102643,102647,102653,102667,102673,102677,102679,102701,102761,102763,102769,102793,102797,102811,102829,102841,102859,102871,102877,102881,102911,102913,102929,102931,102953,102967,102983,103001,103007,103043,103049,103067,103069,103079,103087,103091,103093,103099,103123,103141,103171,103177,103183,103217,103231,103237,103289,103291,103307,103319,103333,103349,103357,103387,103391,103393,103399,103409,103421,103423,103451,103457,103471,103483,103511,103529,103549,103553,103561,103567,103573,103577,103583,103591,103613,103619,103643,103651,103657,103669,103681,103687,103699,103703,103723,103769,103787,103801,103811,103813,103837,103841,103843,103867,103889,103903,103913,103919,103951,103963,103967,103969,103979,103981,103991,103993,103997,104003,104009,104021,104033,104047,104053,104059,104087,104089,104107,104113,104119,104123,104147,104149,104161,104173,104179,104183,104207,104231,104233,104239,104243,104281,104287,104297,104309,104311,104323,104327,104347,104369,104381,104383,104393,104399,104417,104459,104471,104473,104479,104491,104513,104527,104537,104543,104549,104551,104561,104579,104593,104597,104623,104639,104651,104659,104677,104681,104683,104693,104701,104707,104711,104717,104723,104729};int main(){    int n;    while(scanf("%d",&n)==1)    {        int ans=sum[n/10000];        if(n==1){printf("%d\n",0);continue;}        for(int i=n/10000*10000+1;i<=n;i+=2)        {                bool flag=true;                if(prime[1]<i)                {                    for(int j=1;prime[j]*prime[j]<=i;j++)                    if(i%prime[j]==0){flag=false;break;}                }                if(flag)ans++;        }        printf("%d\n",ans);    }     return 0;}