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Given an array of integers of size N, for all, i's [1, N], the task is to find the minimum subarray sum in the subarray [i, N].

**Input: **

1. The first line of the input contains a single integer* * T denoting the number of test cases. The description of T test cases follows.

2. The first line of each test case contains a single integer N.

3. The second line contains N space-separated positive integers represents array.

**Output:** For each test case, print N space-separated integers

**Constraints:**

1. 1 <= T <= 10

2. 1 <= N <= 100000

3. -10000 <= arr[i] <= 10000

**Example:
Input:**

2

3

3 -1 -2

5

5 -3 -2 9 4

**Output:**

-3 -3 -2

-5 -5 -2 4 4

**Explanation:**

Test case 1:

1. i = 1, subarray is [3, -1, -2], all possible subarrays are [3], [-1], [-2], [3, -1], [-1, -2], [3, -1, -2]. Minnimum sum is -3 [-1, -2].

2. i = 2, subarray is [-1, -2], all possible subarrays are [-1], [-2], [-1, -2]. Minnimum sum is -3 [-1, -2].

3. i = 3, subarray is [-2], all possible subarrays are [-2]. Minnimum sum is -2[-2].

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Minimum sum of subarray

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