POJ 2406--Power Strings【KMP】
2015-03-16 09:51
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Power Strings
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
Sample Output
Time Limit: 3000MS | Memory Limit: 65536K | |
Total Submissions: 34842 | Accepted: 14406 |
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
#include <cstdio> #include <cstring> char s[1000005]; int next[1000005]; void getnext(){ int j=0,k=-1; int len=strlen(s); next[0]=-1; while(j<len){ if(k==-1 || s[k]==s[j]){ ++j; ++k; next[j]=k; } else k=next[k]; } return ; } int main (){ while(scanf("%s",s)!=EOF){ if(s[0]=='.') break; getnext(); int len=strlen(s); //for(int i=0;i<=len;++i) // printf("%d ",next[i]); // printf("\n"); int k=len-next[len]; if(len%k==0) printf("%d\n",len/k); else printf("1\n"); } return 0; }
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