Count the string 动态规划
2016-10-08 16:59
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Count the stringTime Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 9293 Accepted Submission(s): 4324 Problem Description It is well known that AekdyCoin is good at string problems as well as number theory problems. When given a string s, we can write down all the non-empty prefixes of this string. For example: s: "abab" The prefixes are: "a", "ab", "aba", "abab" For each prefix, we can count the times it matches in s. So we can see that prefix "a" matches twice, "ab" matches twice too, "aba" matches once, and "abab" matches once. Now you are asked to calculate the sum of the match times for all the prefixes. For "abab", it is 2 + 2 + 1 + 1 = 6. The answer may be very large, so output the answer mod 10007. Input The first line is a single integer T, indicating the number of test cases. For each case, the first line is an integer n (1 <= n <= 200000), which is the length of string s. A line follows giving the string s. The characters in the strings are all lower-case letters. Output For each case, output only one number: the sum of the match times for all the prefixes of s mod 10007. Sample Input 1 4 abab Sample Output 6 |
即以第i个字符结尾的前缀数等于以第next[i]个字符为结尾的前缀数加上它自己本身
#include <iostream> #include <cstdio> #include <cstring> #include <algorithm> using namespace std; int nexxt[200005]; char st[200005]; int n, dt[200005]; int main() { int t; scanf("%d", &t); while (t--) { int ans = 0; cin >> n >> st; int i = 0,j = -1; nexxt[0] = -1; while(i < n) { if(j == -1 || st[i] == st[j]) nexxt[++i] = ++j; else j = nexxt[j]; } memset(dt,0,sizeof(dt)); for (int k = 1; k <= n; k++) { dt[k] = dt[nexxt[k]] + 1; ans = (ans + dt[k])%10007; } printf("%d\n", ans); } return 0; }
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