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Saturday 16 July 2022

[Solution] Difference Array Solution Codeforces | Codeforces Solution



D. Difference Array
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given an array a consisting of n non-negative integers. It is guaranteed that a is sorted from small to large.

For each operation, we generate a new array bi=ai+1ai for 1i<n. Then we sort b from small to large, replace a with b, and decrease n by 1.

After performing n1 operations, n becomes 1. You need to output the only integer in array a (that is to say, you need to output a1).

Input

The input consists of multiple test cases. The first line contains a single integer t (1t104) — the number of test cases. The description of the test cases follows.

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The first line of each test case contains one integer n (2n105) — the length of the array a.

The second line contains n integers a1,a2,,an (0a1an5105) — the array a.

It is guaranteed that the sum of n over all test cases does not exceed 2.5105, and the sum of an over all

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 test cases does not exceed 5105.

Output

For each test case, output the answer on a new line.

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