poj 2406 Power Strings（连续重复子串）

Power Strings

Time Limit: 3000MS Memory Limit: 65536KTotal Submissions: 33469 Accepted: 13902

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.

题意：给定一个字符串L，已知这个字符串是由某个字符串S 重复R 次而得到的，
求R 的最大值。
思路：穷举字符串S 的长度k，然后判断是否满足。判断的时候，先看字符串L 的长度能否被k 整除，再看suffix(1)和suffix(k+1)的最长公共前缀是否等于n-k。在询问最长公共前缀的时候，suffix(1)是固定的，所以RMQ问题没有必要做所有的预处理， 只需求出height 数组中的每一个数到height[rank[1]]之间的最小值即可。整个做法的时间复杂度为O(n)。