Power Strings (KMP)

Power Strings

Time Limit:3000MSMemory Limit:65536K

Total Submissions:34601Accepted:14319

Description

Given two strings a and b we define a*b to be their concatenation. For example, if a = "abc" and b = "def" then a*b = "abcdef". If we think of concatenation as multiplication, exponentiation by a non-negative integer is defined in the normal way: a^0 = "" (the empty string) and a^(n+1) = a*(a^n).

Input

Each test case is a line of input representing s, a string of printable characters. The length of s will be at least 1 and will not exceed 1 million characters. A line containing a period follows the last test case.

Output

For each s you should print the largest n such that s = a^n for some string a.

Sample Input

abcdaaaaababab.

Sample Output

143

Hint

This problem has huge input, use scanf instead of cin to avoid time limit exceed.

Source

AC代码:

#include <cstdio>#include <cstring>#include <algorithm>using namespace std; char str[1000005];int next[1000005];int main() {while(scanf("%s", str) && str[0] != '.') {int i = 0, j = -1, len = strlen(str);next[0] = -1;while(i < len) {if(j == -1 || str[i] == str[j]) next[++i] = ++j;else j = next[j];}if(len % (len – next[len]) == 0) printf("%d\n", len / (len – next[len]));else printf("1\n");}return 0;}

,发光并非太阳的专利,你也可以发光

Power Strings (KMP)

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