UVA 1640(数位统计)
来源:互联网 发布:win10很卡怎么优化 编辑:程序博客网 时间:2024/05/22 06:59
The Counting Problem
Time Limit:3000MS Memory Limit:Unknown 64bit IO Format:%lld & %llu
Description
Given two integers a and b, we write the numbers between a andb, inclusive, in a list. Your task is to calculate the number of occurrences of each digit. For example, ifa = 1024 and b = 1032, the list will be
1024 1025 1026 1027 1028 1029 1030 1031 1032
there are ten 0's in the list, ten 1's, seven 2's, three 3's, and etc.Input
The input consists of up to 500 lines. Each line contains two numbers a and b where 0 < a, b < 100000000. The input is terminated by a line `0 0', which is not considered as part of the input.
Output
For each pair of input, output a line containing ten numbers separated by single spaces. The first number is the number of occurrences of the digit 0, the second is the number of occurrences of the digit 1, etc.
Sample Input
1 1044 497 346 542 1199 1748 1496 1403 1004 503 1714 190 1317 854 1976 494 1001 1960 0 0
Sample Output
1 2 1 1 1 1 1 1 1 1 85 185 185 185 190 96 96 96 95 93 40 40 40 93 136 82 40 40 40 40 115 666 215 215 214 205 205 154 105 106 16 113 19 20 114 20 20 19 19 16 107 105 100 101 101 197 200 200 200 200 413 1133 503 503 503 502 502 417 402 412 196 512 186 104 87 93 97 97 142 196 398 1375 398 398 405 499 499 495 488 471 294 1256 296 296 296 296 287 286 286 247
Source
Root :: AOAPC II: Beginning Algorithm Contests (Second Edition) (Rujia Liu) :: Chapter 10. Maths ::Examples
统计区间里0到9每个数字出现了多少次,直接数学瞎搞
#include <cstdio>#include <iostream>#include <cstring>#include <algorithm>using namespace std;const int maxn = 10 + 10;typedef long long ll;#define foreach(it,v) for(__typeof((v).begin()) it = (v).begin(); it != (v).end(); ++it)typedef long long ll;int c[maxn][maxn];void init(int n){ for(int i = 0; i <= n; i++) { c[i][0] = 1; for(int j = 1; j <= i; j++) c[i][j] = c[i-1][j-1] + c[i-1][j]; c[i][i+1] = 0; }}ll quick(int a,int n){ ll res = 1,b = a; while(n>0) { if(n&1)res *= b; b = b*b; n>>=1; } return res;}ll work(int f,int k,int L,int tot)/*计算以f开头长为L且之前已经出现tot个k的数字里有多少个k*/{ ll res = 0; if(f==k)tot++; for(int i = 0; i < L; i++) { res += (i+tot)*c[L-1][i]*quick(9,L-1-i); } return res;}ll solve(const char *s,int k)/*计算[1,s)里的数字一共有多少个k*/{ int sz = strlen(s); ll res = 0,tot = 0; for(int i = 1; i < s[0]-'0'; i++)res += work(i,k,sz,0); for(int L = 1; L < sz; L++) { for(int i = 1; i < 10; i++) res += work(i,k,L,0); } if(s[0]-'0'==k)tot++; for(int i = 1; i < sz; i++) { int limt = s[i] - '0'; for(int j = 0; j < limt; j++) { res += work(j,k,sz-i,tot); } if(limt==k)tot++; } return res;}int main(){ init(12); int L,R; while(~scanf("%d%d",&L,&R)) { if(L+R==0)return 0; if(L>R)swap(L,R); char sl[20],sr[20]; sprintf(sl,"%d",L); sprintf(sr,"%d",R+1); for(int i = 0; i < 10; i++) printf("%lld%c",solve(sr,i)-solve(sl,i)," \n"[i==9]); } return 0;}
0 0
- UVA 1640(数位统计)
- uva 1640 The Counting Problem (数位dp||统计0-9的个数)
- UVA 1225 Digit Counting(统计数位出现的次数)
- UVA 11038 How Many O's? (数位统计 )
- 数位统计
- 数位统计
- 数位DP/数位统计 初探
- UVa 11038 - How Many O's? (组合数学 数位统计)
- 数位统计小结
- 【数位统计】poi2006 kry
- 【数位统计】Tickets
- lightoj 1140 数位统计
- 数位统计+hdu3972(dbl)
- 数位统计Bestcoder18
- poj 3286 数位统计
- poj 2282 数位统计
- nefu-1035 数位统计
- nefu 1034 数位统计
- Android的MediaPlayer架构介绍
- Terminating app due to uncaught exception 'CALayerInvalidGeometry', reason: 'CALayer position contai
- 欧拉工程第23题:Non-abundant sums
- X86汇编快速入门
- php设计模式入门-命令模式
- UVA 1640(数位统计)
- hdu 1548 一维bfs大水题
- NYOJ 135 取石子(二)(博弈)
- JConsole监控远程Tomcat服务器
- 计算机视觉牛人汇总
- Git使用笔记
- Tomcat的三种模式及并发优化
- C语言的循环语句(4.24)
- 作业4.19