Time Limit: 1 second
Memory Limit: 256 megabytes
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:
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.
The single line contains a sequence of characters s1s2...s|s| (1 ≤ |s| ≤ 105) — string s. The string only consists of uppercase English letters.
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.