Prefix Removals
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.
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 $2 \cdot 10^5$.
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.
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.
Samples
6
abcabdc
a
bbbbbbbbbb
codeforces
cffcfccffccfcffcfccfcffccffcfccf
zyzyzwxxyyxxyyzzyzzxxwzxwywxwzxxyzzw
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".