ESQU - Easy Equation

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There is an equation for you:

    A MOD B = C, where A > B

What is the maximum value of C when B is given?

Input

Input starts with an integer T (≤ 100) denoting the number of test cases.

Each test case contains a number B (2 <= B <= 10100000).

Output

For each case, output the expected result.

Example

Input:
4
2
15
1005
365

Output:
1
14
1004
364

Problem Setter: Ajharul Islam Barid. Special Thanks: Shipu Ahamed


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avij33t: 2017-03-21 05:52:11

Java BigInteger Got TLE
ad-hoc problem

Last edit: 2017-03-21 05:53:16

Added by:Alim
Date:2014-08-13
Time limit:2s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64