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 $$$x$$$ ($$$10 \le x \lt 10^{200000}$$$). $$$x$$$ 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.

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.

Minor Reduction

Examples