5636: 前缀以及后缀

内存限制:256 MB 时间限制:2 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:7 通过:4

题目描述


You have a string s=s1s2...s|s|, where |s| is the length of string s, and si its i-th character.
Let's introduce several definitions:
  • A substring s[i..j] (1≤ij≤|s|) of string s is string sisi+1...sj.
  • The prefix of string s of length l (1≤l≤|s|) is string s[1..l].
  • The suffix of string s of length l (1≤l≤|s|) is string s[|s|-l+1..|s|].
Your task is, for any prefix of string s which matches a suffix of string s, print the number of times it occurs in string s as a substring.
Input
The single line contains a sequence of characters s1s2...s|s| (1≤|s|≤105) − string s. The string only consists of uppercase English letters.
Output
In the first line, print integer k (0≤k≤|s|) − the number of prefixes that match a suffix of string s. Next print k lines, in each line print two integers li ci. Numbers li ci mean that the prefix of the length li matches the suffix of length li and occurs in string s as a substring ci times. Print pairs li ci in the order of increasing li.


给你一个长度为n的长字符串,“完美子串”既是它的前缀也是它的后缀,求“完美子串”的个数且统计这些子串的在长字符串中出现的次数



Examples
Input
ABACABA
Output
3
1 4
3 2
7 1
Input
AAA
Output
3
1 3
2 2
3 1

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