The stock span problem is a financial problem where we have a series of n daily price quotes for a stock and we need to calculate the span of stock’s price for all **n** days.

The span **S _{i}** of the stock’s price on a given day

For example, if an array of 7 days prices is given as {100, 80, 60, 70, 60, 75, 85}, then the span values for corresponding 7 days are {1, 1, 1, 2, 1, 4, 6}.

**Input:**

The first line of input contains an integer T denoting the number of test cases. The first line of each test case is N, N is the size of the array. The second line of each test case contains N input C[i].

**Output:**

For each testcase, print the span values for all days.

**Constraints:**

1 ≤ T ≤ 100

1 ≤ N ≤ 200

1 ≤ C[i] ≤ 800

**Example:**

**Input:**

2

7

100 80 60 70 60 75 85

6

10 4 5 90 120 80

**Output:**

1 1 1 2 1 4 6

1 1 2 4 5 1

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