Codeforces Round 805 (Div. 3) |
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Finished |
At the store, the salespeople want to make all prices round.
In this problem, a number that is a power of $$$10$$$ is called a round number. For example, the numbers $$$10^0 = 1$$$, $$$10^1 = 10$$$, $$$10^2 = 100$$$ are round numbers, but $$$20$$$, $$$110$$$ and $$$256$$$ are not round numbers.
So, if an item is worth $$$m$$$ bourles (the value of the item is not greater than $$$10^9$$$), the sellers want to change its value to the nearest round number that is not greater than $$$m$$$. They ask you: by how many bourles should you decrease the value of the item to make it worth exactly $$$10^k$$$ bourles, where the value of $$$k$$$ — is the maximum possible ($$$k$$$ — any non-negative integer).
For example, let the item have a value of $$$178$$$-bourles. Then the new price of the item will be $$$100$$$, and the answer will be $$$178-100=78$$$.
The first line of input data contains a single integer $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of test cases .
Each test case is a string containing a single integer $$$m$$$ ($$$1 \le m \le 10^9$$$) — the price of the item.
For each test case, output on a separate line a single integer $$$d$$$ ($$$0 \le d < m$$$) such that if you reduce the cost of the item by $$$d$$$ bourles, the cost of the item will be the maximal possible round number. More formally: $$$m - d = 10^k$$$, where $$$k$$$ — the maximum possible non-negative integer.
712178209999999999000987654321
0 1 78 10 899999999 8000 887654321
In the example:
Note that in each test case, we get the maximum possible round number.
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