随着扩展KMP做一个简单的努力.....

D. Prefixes and Suffixes

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

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 ≤ i ≤ j ≤ |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 substringci times. Print pairs li ci in the order of increasing li.

Sample test(s)

input

ABACABA

output

31 43 27 1

input

AAA

output

31 32 23 1

#include 
     
      #include 
      
       #include 
       
        #include 
        
         using namespace std;const int maxn=100100;char T[maxn],P[maxn];int next[maxn],ex[maxn];void pre_exkmp(char P[]){    int m=strlen(P);    next[0]=m;    int j=0,k=1;    while(j+1
         
          >P;    pre_exkmp(P);    int n=strlen(P);    for(int i=0;i
          
           =0;i--) { sum[lisan[i]]=sum[lisan[i+1]]+pos[lisan[i]]; } for(int i=0;i
          
         
        
       
      
     

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