HDU 4389 X mod f(x) 平方分割 数位DP

题意：给出范围A-B,求出该范围内中有多少个数满足，自己被自己所有位数的和整除。

思路：有两种方法，1.可以通过平方分割的方法打巨表 2. 数位DP

代码如下：

平方分割的：

#include <cstdio>#include <algorithm>using namespace std;const int BASE = 400000;int a[]={0,43691,79494,117251,154753,186561,226142,259122,293749,328266,357923,394196,424906,456935,489121,516988,550627,579518,609471,639668,666027,697359,724669,752684,781082,806095,847505,881829,917958,953748,984457,1022150,1053893,1087182,1120224,1148898,1183663,1213284,1244283,1275181,1302141,1334553,1362477,1391506,1420620,1446173,1476483,1502903,1530199,1557612,1581855,1621202,1654240,1688855,1723174,1752886,1788901,1819529,1851587,1883358,1911166,1944532,1973139,2003059,2032861,2059035,2090283,2117319,2145464,2173585,2198383,2227715,2253328,2279834,2306406,2329984,2367444,2399319,2432533,2465529,2494379,2528778,2558405,2589245,2619881,2646896,2678924,2706624,2735522,2764291,2789743,2819833,2846056,2873233,2900473,2924630,2952939,2977813,3003491,3029225,3052160,3087935,3118775,3150784,3182541,3210653,3243650,3272346,3302173,3331742,3358037,3388829,3415677,3443601,3471414,3496170,3525126,3550533,3576928,3603263,3626798,3654135,3678248,3703248,3728163,3750525,3784857,3814795,3845731,3876416,3903809,3935541,3963419,3992271,4020913,4046550,4076225,4102288,4129399,4156326,4180462,4208446,4233077,4258729,4284236,4307251,4333726,4357099,4381443,4405618,4427492,4460526,4489698,4519477,4549222,4575951,4606580,4633801,4661706,4689473,4714477,4743148,4768606,4794821,4820985,4844581,4871639,4895644,4920601,4945346,4967829,4993494,5016303,5040064,5063546,5084970,5116842,5145295,5174152,5203052,5229087,5258689,5285249,5312261,5339278,5363730,5391460,5416390,5441864,5467241,5490370,5516543,5540019,5564270,5588334,5610431,5635301,5657629,5680733,5703586,5724686,5755509,5783154,5811019,5839203,5864428,5893125,5919016,5945229,5971571,5995318,6022241,6046569,6071352,6096132,6118762,6144152,6167148,6190748,6214207,6235854,6259936,6281842,6304401,6326727,6347468,6377364,6404220,6431293,6458763,6483225,6511123,6536365,6561819,6587544,6610705,6636874,6660672,6684816,6709022,6731176,6755843,6778405,6801426,6824364,6845573,6868982,6890536,6912509,6934386,6954793,6996285,7030588,7066672,7102619,7133324,7171148,7202960,7236173,7269451,7298238,7333102,7362912,7393745,7424845,7451901,7484336,7512453,7541342,7570617,7596271,7626540,7653107,7680213,7707794,7732131,7771537,7804493,7839107,7873447,7903158,7939289,7969917,8001955,8033854,8061674,8095190,8123944,8153844,8183759,8209989,8241296,8268482,8296532,8324781,8349662,8379035,8404796,8431245,8457899,8481543,8519098,8550862,8584112,8617098,8645838,8680430,8709973,8740833,8771553,8798508,8830751,8858566,8887488,8916325,8941769,8972020,8998341,9025589,9052898,9077035,9105507,9130510,9156211,9182051,9205050,9240868,9271565,9303493,9335273,9363199,9396299,9424902,9454621,9484265,9510443,9541425,9568346,9596276,9624166,9648877,9678043,9703588,9729925,9756386,9779898,9807402,9831686,9856617,9881674,9904095,9938397,9968116,9998988,10029631,10056856,10088643,10116381,10145145,10173779,10199288,10229102,10255201,10282245,10309229,10333318,10361462,10386204,10411833,10437437,10460350,10486974,10510525,10534804,10559107,10581019,10613991,10642859,10672739,10702398,10728985,10759579,10786514,10814375,10842081,10866960,10895746,10921080,10947378,10973539,10997055,11024236,11048231,11073146,11097967,11120363,11146143,11169032,11192779,11216341,11237788,11269585,11297740,11326535,11355287,11381211,11410781,11437061,11464064,11490945,11515232,11543049,11567757,11593240,11618613,11641607,11667918,11691349,11715602,11739665,11761612,11786589,11808873,11831994,11854914,11875940,11906656,11934148,11962036,11990033,12015315,12043940,12069608,12095783,12121935,12145732,12172719,12196860,12221682,12246341,12268919,12294425,12317326,12340947,12364355,12385962,12410178,12432031,12454619,12476902,12497616,12527353,12554144,12581112,12608409,12632958,12660699,12685745,12711187,12736708,12759893,12786075,12809685,12833815,12857891,12880002,12904723,12927189,12950227,12973061,12994262,13017779,13039220,13061255,13083081,13103432,13132276,13158335,13184533,13211156,13235027,13261988,13286411,13311112,13336038,13358682,13384129,13407262,13430808,13454333,13475977,13500029,13522081,13544566,13566939,13587773,13610626,13631739,13653298,13674680,13694682,13734267,13767294,13801878,13836441,13866076,13902362,13933165,13965103,13997313,14025210,14058750,14087732,14117512,14147718,14174040,14205324,14232672,14260578,14289069,14314021,14343280,14369176,14395419,14422249,14446019,14483711,14515465,14548726,14581794,14610415,14645165,14674847,14705770,14736685,14763678,14795996,14823965,14852859,14881928,14907435,14937719,14964213,14991343,15018851,15043070,15071492,15096609,15122242,15148222,15171368,15207384,15238019,15270013,15301812,15329564,15362913,15391574,15421399,15451178,15477345,15508514,15535557,15563571,15591642,15616379,15645701,15671355,15697747,15724381,15747911,15775517,15799935,15824853,15850059,15872614,15907024,15936647,15967434,15998072,16025027,16056991,16084755,16113516,16142250,16167641,16197631,16223831,16250869,16278049,16302070,16330366,16355271,16380791,16406613,16429517,16456244,16479983,16504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f(int x){    int ans = 0;    while(x){        ans += x % 10;        x /= 10;    }    return ans;}int cnt = 0;int main(void){//    freopen("out.txt","w",stdout);//    int cnt=0;//    printf("{0");//    for(int i=1; i<=1000000000; i++){//        if(i%f(i)==0)//            cnt++;//        if(i%BASE==0){//            printf(",%d",cnt);//        }//    }//    printf("}");    int t, l, r, cs=1;    scanf("%d",&t);    while(t--){        scanf("%d%d",&l,&r);        int cnt=a[r/BASE]-a[(l-1)/BASE];        for(int i=r/BASE*BASE+1; i<=r; i++){            if(i%f(i)) continue;            cnt++;        }        for(int i=max((l-1)/BASE*BASE+1,1); i<l; i++){            if(i%f(i)) continue;            cnt--;        }        printf("Case %d: %d\n",cs++,cnt);    }    return 0;}