poj-2406 Power Strings 【kmp】

Power Strings
Time Limit: 3000MS   Memory Limit: 65536K
Total Submissions: 34716   Accepted: 14367

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.

Source

Waterloo local 2002.07.01

循环节 ,求字符串的循环的最大数量。


#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include

using namespace std;

char  b[1000500];
int Next[1000500];

void get_next(char b[], int m)
{
	int i = 0,j = -1;
	memset(Next,0,sizeof(Next));
	Next[0] = -1;
	while (b[i])
	{
		if (j == -1 || b[i] == b[j])
		{
			++i;
			++j;
			Next[i] = j;
		}
		else
			j = Next[j];
	}
}

int main()
{
	int cases = 1, n, m, i, j, ans;
	
	while (scanf("%s",&b)!=EOF && b[0]!='.')
	{
		n = strlen(b);
		get_next(b, n);
		
		int t = Next[n];

		int s = n - t;
		if (n % s == 0)
			ans = n / s;
		else
			ans = 1;
		printf("%d\n",ans);
	}
	return 0;
}


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