Prefix Removals

2000ms

262144K

Description:

You are given a string $$$s$$$ consisting of lowercase letters of the English alphabet. You must perform the following algorithm on $$$s$$$:

Let $$$x$$$ be the length of the longest prefix of $$$s$$$ which occurs somewhere else in $$$s$$$ as a contiguous substring (the other occurrence may also intersect the prefix). If $$$x = 0$$$, break. Otherwise, remove the first $$$x$$$ characters of $$$s$$$, and repeat.

A prefix is a string consisting of several first letters of a given string, without any reorders. An empty prefix is also a valid prefix. For example, the string "abcd" has 5 prefixes: empty string, "a", "ab", "abc" and "abcd".

For instance, if we perform the algorithm on $$$s =$$$ "abcabdc",

Initially, "ab" is the longest prefix that also appears somewhere else as a substring in $$$s$$$, so $$$s =$$$ "cabdc" after $$$1$$$ operation.
Then, "c" is the longest prefix that also appears somewhere else as a substring in $$$s$$$, so $$$s =$$$ "abdc" after $$$2$$$ operations.
Now $$$x=0$$$ (because there are no non-empty prefixes of "abdc" that also appear somewhere else as a substring in $$$s$$$), so the algorithm terminates.

Find the final state of the string after performing the algorithm.

Input:

The first line contains a single integer $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of test cases.

This is followed by $$$t$$$ lines, each containing a description of one test case. Each line contains a string $$$s$$$. The given strings consist only of lowercase letters of the English alphabet and have lengths between $$$1$$$ and $$$2 \cdot 10^5$$$ inclusive.

It is guaranteed that the sum of the lengths of $$$s$$$ over all test cases does not exceed $$$2 \cdot 10^5$$$.

Output:

For each test case, print a single line containing the string $$$s$$$ after executing the algorithm. It can be shown that such string is non-empty.

Sample Input:

6
abcabdc
a
bbbbbbbbbb
codeforces
cffcfccffccfcffcfccfcffccffcfccf
zyzyzwxxyyxxyyzzyzzxxwzxwywxwzxxyzzw

Sample Output:

abdc
a
b
deforces
cf
xyzzw

Note:

The first test case is explained in the statement.

In the second test case, no operations can be performed on $$$s$$$.

In the third test case,

Initially, $$$s =$$$ "bbbbbbbbbb".
After $$$1$$$ operation, $$$s =$$$ "b".

In the fourth test case,

Initially, $$$s =$$$ "codeforces".
After $$$1$$$ operation, $$$s =$$$ "odeforces".
After $$$2$$$ operations, $$$s =$$$ "deforces".

Informação

Provedor Codeforces

Código CF1654B