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Summary
For each string, find the longest substring that appears twice without overlapping, and print its length and the earliest such substring.
Level

Medium5 of 10

Topics
String, Dynamic programming, String matching
Solved
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Problem

Your teacher marks students down on essays that repeat words and phrases, when they could explore new syntax and use a thesaurus instead. To avoid being marked for repeats, you decide to check your essay for repeated substrings and find the longest one so you can fix it. Write a program that, given a string of characters, finds the greatest repeated substring with no overlapping characters.

Input

The first line contains a single integer n, the number of data sets that follow. Each data set is one line containing a string of letters of unknown length.

Output

For each data set, output the integer length of the longest repeated substring, a space, and then the repeated string. If several substrings have the same length, print the one that appears first in the string.

Examples1

  1. Example 1

    Input
    2
    thequickbrownfoxjumpedoverthelazydog
    ratsarejustlikebigmicebutratsarecompletelydifferentanimals
    
    Expected output
    3 the
    7 ratsare