打表法fffff

Posted 2020-11-30 lamboofhome

打表法：

   优化： O3 #pragma GCC optimize(3,"Ofast","inline")

              O2  #pragma GCC optimize(2)

   将一些数据暴力枚举要很久的，就提前打表出来后直接调用就行了。

  分段打表 可以减少 空间， 直接暴力剩下的东西嘿嘿;

  分段打表例题：

神犇最近闲来无事，于是就思考哲学，研究数字之美。在神犇看来，如果一个数的各位能够被分成两个集合，而且这两个集合里的数的和相等，那么这个数就是优美的（具体原因就只有神犇才知道了）。现在神犇在思考另一个问题，在区间[a,b]中有多少个数是优美的？这个问题对于神犇来说很简单，相信对于你来说也不难。
Input
输入只有一行，包含两个整数a和b。
Output
输出只有一行，包含一个整数，代表区间[a,b]中优美的数的个数。

Sample Input
1 11
Sample Output
1
Hint
1<=A<=B<=10^9

View Code

   打表代码：

#include <bits/stdc++.h>
#pragma GCC optimize(3,"Ofast","inline")
using namespace std;
const int M = 100005;
const int N = 10000;
#define ri register int 
long long ans;
bool getans(int x)
{
    int sum=0;
    long long f=1;
    for(ri i=x;i;i/=10)
    {
        f|=(f<<i%10);
        sum+=i%10;
    }
    if(sum&1) return 0;
    return f&1ll<<(sum/2);
}
int p=500000;
int main(){
    freopen("233.txt","w",stdout); // txt 记住了 
    for(ri i=1;i<=1000000000;i++)
    {
        ans+=getans(i);
        if(i%p==0)
        printf("%d,",ans);
    }
}

View Code

  提交代码：

#include<cstdio>
#include<string>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
const int M = 100005;
const int N = 100005;
const int P = 500000;
#define ri register int
long long f[]={0,191240,376413,606393,832547,1061551,1288828,1517324,1744956,1970036,2196800,2423909,2647716,2870872,3090920,3310802,3526440,3740289,3951372,4160377,4366880,4596860,4823015,5064902,5304766,5551357,5797144,6043920,6290672,6536086,6782004,7027632,7272530,7516599,7758910,7999993,8238396,8475668,8710536,8946961,9182258,9411262,9638539,9885130,10130918,10370370,10610575,10857207,11103529,11346494,11590745,11836003,12080513,12322393,12565094,12806029,13045216,13284181,13523103,13759909,13996047,14224543,14452175,14698951,14945703,15192335,15438658,15676246,15913605,16158300,16403907,16648567,16892727,17132423,17371943,17614884,17858307,18098734,18339125,18575075,18810719,19035799,19262563,19507977,19753895,19996860,20241111,20485806,20731414,20963975,21199399,21442069,21684697,21926884,22170473,22412414,22655525,22890558,23128982,23365117,23601310,23828419,24052226,24297854,24542752,24788010,25032520,25277180,25521340,25764010,26006639,26244302,26480512,26724666,26967738,27209797,27450344,27690193,27929454,28165732,28401296,28624452,28844500,29088569,29330880,29572760,29815461,30055157,30294677,30536864,30780453,31024607,31267680,31498059,31727883,31968836,32207445,32444905,32681531,32916754,33151141,33371023,33586661,33827744,34066147,34307082,34546269,34789210,35032633,35274574,35517685,35759744,36000291,36241244,36479854,36705884,36928875,37165243,37398605,37632957,37865237,38079086,38290169,38527441,38762309,39001274,39240196,39480623,39721014,39956047,40194471,40434320,40673581,40911041,41147667,41384035,41617398,41834651,42050819,42283577,42514127,42723132,42929635,43166060,43401357,43638163,43874301,44110251,44345895,44582030,44818223,45054501,45290065,45525288,45759675,45994027,46226307,46459065,46689616,46900780,47111407,47341387,47567542,47809429,48049293,48295884,48541671,48788447,49035199,49280613,49526531,49772159,50017057,50261126,50503437,50744520,50982923,51220195,51455063,51691488,51926786,52168673,52408537,52655128,52900916,53149584,53398017,53647584,53897101,54146492,54395976,54645189,54894264,55142591,55390376,55636899,55882154,56126834,56370124,56614469,56858336,57104927,57350715,57599383,57847816,58097383,58346901,58596793,58846682,59096667,59346650,59596574,59846494,60096069,60345546,60594329,60842736,61090545,61337762,61585284,61832643,62079419,62326171,62575738,62825256,63075148,63325037,63573818,63822618,64072178,64321881,64571683,64821477,65070423,65319367,65568716,65818159,66066915,66315614,66563425,66811192,67056606,67302524,67551915,67801399,68051384,68301368,68550928,68800631,69047555,69295186,69543914,69792675,70042426,70292149,70541429,70790949,71038425,71286703,71534188,71781713,72027341,72272239,72521452,72770527,73020451,73270371,73520173,73769968,74018696,74267457,74515521,74763402,75012475,75261351,75510555,75759527,76008115,76256605,76504125,76751555,76995624,77237935,77486262,77734047,77983622,78233099,78482045,78730989,78980740,79230464,79479537,79728413,79974939,80220834,80468185,80714563,80962346,81209373,81456880,81704149,81945232,82183635,82430158,82675413,82924196,83172603,83421952,83671395,83920675,84170195,84419399,84668372,84915723,85162101,85405377,85646750,85891274,86134011,86380684,86626601,86863873,87098741,87343421,87586711,87834520,88081737,88330493,88579192,88826668,89074946,89323534,89572024,89819807,90066835,90311359,90554096,90792612,91029271,91272212,91513942,91750367,91985664,92230009,92473876,92721398,92968757,93216568,93464335,93711820,93959345,94206865,94454295,94701802,94949071,95195744,95441662,95684603,95926333,96163508,96400455,96629459,96856736,97103327,97349115,97588567,97828772,98075404,98321726,98564691,98808942,99054200,99298710,99540590,99783291,100024226,100263413,100502378,100741300,100978106,101214244,101460835,101706623,101955291,102203724,102453291,102702809,102952701,103202590,103452575,103702558,103952482,104202402,104451977,104701454,104950237,105198644,105446453,105693670,105941192,106188552,106428004,106668209,106917776,107167293,107410258,107654509,107903984,108153408,108397759,108643571,108892112,109140447,109385424,109631936,109878641,110124934,110369321,110615086,110859687,111104170,111350802,111597125,111847017,112096906,112346381,112595804,112844429,113093027,113342921,113592810,113842151,114091415,114340302,114589181,114838373,115087418,115336315,115585176,115832981,116080738,116323703,116567954,116817939,117067923,117312274,117558086,117807980,118057868,118302845,118549357,118798923,119048442,119293664,119540443,119789180,120037757,120283054,120529913,120777539,121025141,121270399,121514909,121764833,122014753,122263294,122511630,122760971,123010235,123259801,123509319,123757373,124005151,124254751,124504320,124751903,124999107,125247948,125496723,125744193,125991518,126233398,126476099,126725674,126975151,127220128,127466640,127715527,127964407,128209629,128456408,128706008,128955576,129199269,129444361,129693300,129941988,130186397,130432181,130679890,130927549,131168484,131407671,131656454,131904861,132151566,1323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bool check(int x)
{
    int sum=0;
    long long f=1;
    for(ri i=x;i;i/=10)
     sum+=i%10,f|=(f<<(i%10));
     if(sum&1) return 0;
     return f&1ll<<(sum/2);
}
long long getans(int x)
{
    long long ans=f[x/P];
    for(ri i=x/P*P+1;i<=x;i++)
    {
        ans+=check(i);
    }
    return ans;
}
int main(){
    long long a,b;
    scanf("%lld%lld",&a,&b);
    printf("%lld",getans(b)-getans(a-1));
}

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