B. Minor Reduction
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given a decimal representation of an integer $x$ without leading zeros.

You have to perform the following reduction on it exactly once: take two neighboring digits in $x$ and replace them with their sum without leading zeros (if the sum is $0$, it's represented as a single $0$).

For example, if $x = 10057$, the possible reductions are:

• choose the first and the second digits $1$ and $0$, replace them with $1+0=1$; the result is $1057$;
• choose the second and the third digits $0$ and $0$, replace them with $0+0=0$; the result is also $1057$;
• choose the third and the fourth digits $0$ and $5$, replace them with $0+5=5$; the result is still $1057$;
• choose the fourth and the fifth digits $5$ and $7$, replace them with $5+7=12$; the result is $10012$.

What's the largest number that can be obtained?

Input

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

Each testcase consists of a single integer $x$ ($10 \le x < 10^{200000}$). $x$ doesn't contain leading zeros.

The total length of the decimal representations of $x$ over all testcases doesn't exceed $2 \cdot 10^5$.

Output

For each testcase, print a single integer — the largest number that can be obtained after the reduction is applied exactly once. The number should not contain leading zeros.

Example
Input
2
10057
90

Output
10012
9

Note

The first testcase of the example is already explained in the statement.

In the second testcase, there is only one possible reduction: the first and the second digits.