1 条题解

  • 0
    @ 2025-8-24 21:40:06

    自动搬运

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    来自洛谷,原作者为

    avatar caidd
    **

    搬运于2025-08-24 21:40:06,当前版本为作者最后更新于2018-07-22 13:10:39,作者可能在搬运后再次修改,您可在原文处查看最新版

    自动搬运只会搬运当前题目点赞数最高的题解,您可前往洛谷题解查看更多

    以下是正文


    本题思路参考:five20因为借鉴了他的思路,被发现没贴链,被其强烈要求贴链~提交记录

    思想:分块打表
    这道题首先可以看出2000000000并不是一个很大的数。 用暴力,因为防止代码过长,考虑每隔1000000打出一个数字,为了防止爆行,每打二十个数换一行。

    然后对于询问的两个数,若在同一个块中则暴力。不在则对其分别处于的两个块分别处理

    用于打表的辅助程序:

    #include<bits/stdc++.h>
    using namespace std;
    int cnt,tot,tou;
    bool check(int x)
    {
    	int w=x%10;x/=10;
    	while(x)
    	{
    		if(abs(w-(x%10))<2) return false;
    		w=x%10;
    		x/=10;
    	}
    	return true;
    }
    int main()
    {
    	for(int i=1;i<=2000000000;++i)
    	{
    		if(check(i)) ++cnt;
    		++tot;if(tot==1000000) cout<<cnt<<',',tot=0,++tou;
    		if(tou==20) cout<<endl,tou=0;
    	}
    	return 0;
    }
    

    解答程序:

    #include<map>
    #include<set>
    #include<cmath>
    #include<ctime>
    #include<queue>
    #include<string>
    #include<vector>
    #include<cstdio>
    #include<cstring>
    #include<iostream>
    #include<algorithm>
    #define ll long long
    #define il inline
    #define R register
    #define N 100005
    #define debug puts("fuck");
    using namespace std;
    int a,b;
    int d[2005]={202174,338305,476808,615022,753274,891526,1029740,1168243,1304374,1459689,1459689,1459689,1459689,1597903,1736155,1874407,2012621,2151124,2287255,2442570,
    2597885,2597885,2597885,2597885,2736137,2874389,3012603,3151106,3287237,3442552,3597867,3733998,3733998,3733998,3733998,3872250,4010464,4148967,4285098,4440413,
    4595728,4731859,4870362,4870362,4870362,4870362,5008576,5147079,5283210,5438525,5593840,5729971,5868474,6006688,6006688,6006688,6006688,6145191,6281322,6436637,
    6591952,6728083,6866586,7004800,7143052,7143052,7143052,7143052,7279183,7434498,7589813,7725944,7864447,8002661,8140913,8279165,8279165,8279165,8279165,8434480,
    8589795,8725926,8864429,9002643,9140895,9279147,9417361,9417361,9417361,9417361,9572676,9708807,9847310,9985524,10123776,10262028,10400242,10538745,10538745,10538745,
    10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,
    10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10538745,10694060,10830191,10830191,10830191,10830191,10968443,11106657,11245160,11381291,11536606,
    11691921,11828052,11966555,11966555,11966555,11966555,12104769,12243272,12379403,12534718,12690033,12826164,12964667,13102881,13102881,13102881,13102881,13241384,13377515,13532830,
    13688145,13824276,13962779,14100993,14239245,14239245,14239245,14239245,14375376,14530691,14686006,14822137,14960640,15098854,15237106,15375358,15375358,15375358,15375358,15530673,
    15685988,15822119,15960622,16098836,16237088,16375340,16513554,16513554,16513554,16513554,16668869,16805000,16943503,17081717,17219969,17358221,17496435,17634938,17634938,17634938,
    17634938,17634938,17773441,17911655,18049907,18188159,18326373,18464876,18601007,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,
    18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,18756322,
    18911637,19047768,19186271,19186271,19186271,19186271,19324485,19462988,19599119,19754434,19909749,20045880,20184383,20322597,20322597,20322597,20322597,20461100,20597231,20752546,
    20907861,21043992,21182495,21320709,21458961,21458961,21458961,21458961,21595092,21750407,21905722,22041853,22180356,22318570,22456822,22595074,22595074,22595074,22595074,22750389,
    22905704,23041835,23180338,23318552,23456804,23595056,23733270,23733270,23733270,23733270,23888585,24024716,24163219,24301433,24439685,24577937,24716151,24854654,24854654,24854654,
    24854654,24854654,24993157,25131371,25269623,25407875,25546089,25684592,25820723,25976038,25976038,25976038,25976038,26114252,26252504,26390756,26528970,26667473,26803604,26958919,
    26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,
    26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,26958919,27114234,27250365,27388868,27527082,27527082,27527082,27527082,27665585,27801716,27957031,
    28112346,28248477,28386980,28525194,28663446,28663446,28663446,28663446,28799577,28954892,29110207,29246338,29384841,29523055,29661307,29799559,29799559,29799559,29799559,29954874,
    30110189,30246320,30384823,30523037,30661289,30799541,30937755,30937755,30937755,30937755,31093070,31229201,31367704,31505918,31644170,31782422,31920636,32059139,32059139,32059139,
    32059139,32059139,32197642,32335856,32474108,32612360,32750574,32889077,33025208,33180523,33180523,33180523,33180523,33318737,33456989,33595241,33733455,33871958,34008089,34163404,
    34318719,34318719,34318719,34318719,34456971,34595223,34733437,34871940,35008071,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,
    35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,35163386,
    35318701,35454832,35593335,35731549,35869801,35869801,35869801,35869801,36005932,36161247,36316562,36452693,36591196,36729410,36867662,37005914,37005914,37005914,37005914,37161229,
    37316544,37452675,37591178,37729392,37867644,38005896,38144110,38144110,38144110,38144110,38299425,38435556,38574059,38712273,38850525,38988777,39126991,39265494,39265494,39265494,
    39265494,39265494,39403997,39542211,39680463,39818715,39956929,40095432,40231563,40386878,40386878,40386878,40386878,40525092,40663344,40801596,40939810,41078313,41214444,41369759,
    41525074,41525074,41525074,41525074,41663326,41801578,41939792,42078295,42214426,42369741,42525056,42661187,42661187,42661187,42661187,42799439,42937653,43076156,43212287,43367602,
    43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,
    43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43367602,43522917,43659048,43797551,43935765,44074017,44212269,44212269,44212269,44212269,44367584,
    44522899,44659030,44797533,44935747,45073999,45212251,45350465,45350465,45350465,45350465,45505780,45641911,45780414,45918628,46056880,46195132,46333346,46471849,46471849,46471849,
    46471849,46471849,46610352,46748566,46886818,47025070,47163284,47301787,47437918,47593233,47593233,47593233,47593233,47731447,47869699,48007951,48146165,48284668,48420799,48576114,
    48731429,48731429,48731429,48731429,48869681,49007933,49146147,49284650,49420781,49576096,49731411,49867542,49867542,49867542,49867542,50005794,50144008,50282511,50418642,50573957,
    50729272,50865403,51003906,51003906,51003906,51003906,51142120,51280623,51416754,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,
    51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,51572069,
    51727384,51863515,52002018,52140232,52278484,52416736,52554950,52554950,52554950,52554950,52710265,52846396,52984899,53123113,53261365,53399617,53537831,53676334,53676334,53676334,
    53676334,53676334,53814837,53953051,54091303,54229555,54367769,54506272,54642403,54797718,54797718,54797718,54797718,54935932,55074184,55212436,55350650,55489153,55625284,55780599,
    55935914,55935914,55935914,55935914,56074166,56212418,56350632,56489135,56625266,56780581,56935896,57072027,57072027,57072027,57072027,57210279,57348493,57486996,57623127,57778442,
    57933757,58069888,58208391,58208391,58208391,58208391,58346605,58485108,58621239,58776554,58931869,59068000,59206503,59344717,59344717,59344717,59344717,59483220,59619351,59774666,
    59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,
    59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59774666,59929981,60066112,60204615,60342829,60481081,60619333,60757547,60896050,60896050,60896050,
    60896050,60896050,61034553,61172767,61311019,61449271,61587485,61725988,61862119,62017434,62017434,62017434,62017434,62155648,62293900,62432152,62570366,62708869,62845000,63000315,
    63155630,63155630,63155630,63155630,63293882,63432134,63570348,63708851,63844982,64000297,64155612,64291743,64291743,64291743,64291743,64429995,64568209,64706712,64842843,64998158,
    65153473,65289604,65428107,65428107,65428107,65428107,65566321,65704824,65840955,65996270,66151585,66287716,66426219,66564433,66564433,66564433,66564433,66702936,66839067,66994382,
    67149697,67285828,67424331,67562545,67700797,67700797,67700797,67700797,67836928,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,
    67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,67992243,
    67992243,67992243,68130746,68268960,68407212,68545464,68683678,68822181,68958312,69113627,69113627,69113627,69113627,69251841,69390093,69528345,69666559,69805062,69941193,70096508,
    70251823,70251823,70251823,70251823,70390075,70528327,70666541,70805044,70941175,71096490,71251805,71387936,71387936,71387936,71387936,71526188,71664402,71802905,71939036,72094351,
    72249666,72385797,72524300,72524300,72524300,72524300,72662514,72801017,72937148,73092463,73247778,73383909,73522412,73660626,73660626,73660626,73660626,73799129,73935260,74090575,
    74245890,74382021,74520524,74658738,74796990,74796990,74796990,74796990,74933121,75088436,75243751,75379882,75518385,75656599,75794851,75933103,75933103,75933103,75933103,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,76088418,
    76088418,76088418,76226921,76365135,76503387,76641639,76779853,76918356,77054487,77209802,77209802,77209802,77209802,77348016,77486268,77624520,77762734,77901237,78037368,78192683,
    78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,
    78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78192683,78347998,78484129,78622632,78760846,78760846,78760846,78760846,78899349,79035480,79190795,
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    81343953,81480084,81618587,81756801,81895053,82033305,82171519,82171519,82171519,82171519,82326834,82462965,82601468,82739682,82877934,83016186,83154400,83292903,83292903,83292903,
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    86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,86397150,
    86552465,86688596,86827099,86965313,87103565,87103565,87103565,87103565,87239696,87395011,87550326,87686457,87824960,87963174,88101426,88239678,88239678,88239678,88239678,88394993,
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    90499258,90499258,90637761,90775975,90914227,91052479,91190693,91329196,91465327,91620642,91620642,91620642,91620642,91758856,91897108,92035360,92173574,92312077,92448208,92603523,
    92758838,92758838,92758838,92758838,92897090,93035342,93173556,93312059,93448190,93603505,93758820,93894951,93894951,93894951,93894951,94033203,94171417,94309920,94446051,94601366,
    94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,
    94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94601366,94756681,94892812,95031315,95169529,95307781,95446033,95446033,95446033,95446033,95601348,
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    bool check(int x)
    {
    	int w=x%10;x/=10;
    	while(x)
    	{
    		if(abs(w-(x%10))<2) return false;
    		w=x%10;
    		x/=10;
    	}
    	return true;
    }
    int sol(int x,int y)
    {
    	int a=x/1000000,b=y/1000000,cnt=0,sum1=0,sum2=0,xia=a*1000000,shang=b*1000000;
    	if(a==b)
    	{
    		for(int i=x;i<=y;++i) if(check(i)) ++cnt;
    		return cnt;
    	}//若在同一块中则暴力
    	for(int i=xia+1;i<=x-1;++i) if(check(i)) ++sum1;
    	if(x>=1000000) sum1=sum1+d[a-1];//下标要减一
    	for(int i=shang+1;i<=y;++i) if(check(i)) ++sum2;
    	sum2=sum2+d[b-1];
    	return sum2-sum1;//前缀和
    }
    int main()
    {
    	cin>>a>>b;
    	printf("%d\n",sol(a,b));
    	return 0;
    }
    
    • 1

    信息

    ID
    1693
    时间
    1000ms
    内存
    125MiB
    难度
    5
    标签
    递交数
    0
    已通过
    0
    上传者