Power Strings
Time Limit: 3000MS |
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Memory Limit: 65536K |
Total Submissions: 13798 |
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Accepted: 5754 |
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
abcd
aaaa
ababab
.
Sample Output
1
4
3
Hint
This problem has huge input, use scanf instead of cin to avoid time limit exceed.
#include <stdio.h> #include <string.h> #define maxn 1000005 int next[maxn]; int len; void getnext(char str[]) { next[0] = -1; int i=0; int j=-1; while (i<len) { if (j==-1||str[i]==str[j]) { i++; j++; next[i] = j; } else { j=next[j]; } } } int main() { char str[maxn]; while (scanf("%s",str)) { if(strcmp(str,".") == 0) break; len = strlen(str); getnext(str); if(next[len]==0) { printf("1/n"); continue; } printf("%d/n",len%(len-next[len])==0?len/(len-next[len]):1); } return 0; }