Fxx and string
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/65536 K (Java/Others)
Total Submission(s): 1007 Accepted Submission(s): 422
Description
Problem Description
Young theoretical computer scientist Fxx get a string which contains lowercase letters only.
The string S contains n lowercase letters S1S2…Sn.Now Fxx wants to know how many three tuple (i,j,k) there are which can meet the following conditions:
1、i,j,k are adjacent into a geometric sequence.
2、Si='y',Sj='r',Sk='x'.
3.Either j|i or j|k
Input
In the first line, there is an integer T(1≤T≤100) indicating the number of test cases.
T lines follow, each line contains a string, which contains only lowercase letters.(The length of string will not exceed 10000).
Output
For each case, output the answer.
Sample Input
2 xyyrxx yyrrxxxxx
Sample Output
02
思路
题意:青年理论计算机科学家Fxx得到了一个只包含小写字母的字符串。字符串的长度为n,下标从1开始,第 i 位的字母为si,现在Fxx想知道有多少三元组(i,j,k)满足下列条件
- 1、i,j,k三个数成等比数列
- 2、si='y',sj='r',sk='x'
- 3.i j 和k j 中必须有整数
题解:直接暴力枚举,重点在于选择合适的枚举量,如果去暴力字符串的话,肯定T,但是枚举公比的话,效率大大的提高,因为其增长速度很快
#include<bits/stdc++.h> using namespace std; const int maxn = 10005; char str[maxn]; int main() { //freopen("input.txt","r",stdin); int T; scanf("%d",&T); while (T--) { scanf("%s",str+1); int len = strlen(str+1); int res = 0; for (int i = 1;i <= len && i <= len/4;i++) { for (int j = 2;i*j*j <= len;j++) { if (str[i] == 'y' && str[i*j] == 'r' && str[i*j*j] == 'x') res++; if (str[i] == 'x' && str[i*j] == 'r' && str[i*j*j] == 'y') res++; } } printf("%d\n",res); } return 0; }