Alternating subarray prefix
There's an array A consisting of N non-zero integers A1..N. A subarray of A is called alternating if any two adjacent elements in it have different signs (i.e. one of them should be negative and the other should be positive).
For each x from 1 to N, compute the length of the longest alternating subarray that starts at x - that is, a subarray Ax..y for the maximum possible y ≥ x. The length of such a subarray is y-x+1.
Input
- The first line of the input contains an integer T - the number of test cases.
- The first line of each test case contains N.
- The following line contains N space-separated integers A1..N.
Output
For each test case, output one line with N space-separated integers - the lengths of the longest alternating subarray starting at x, for each x from 1 to N.
Constraints
- 1 ≤ T ≤ 10
- 1 ≤ N ≤ 105
- -109 ≤ Ai ≤ 109
Sample 1:
3 4 1 2 3 4 4 1 -5 1 -5 6 -5 -1 -1 2 -2 -3
1 1 1 1 4 3 2 1 1 1 3 2 1 1
Explanation:
Example case 1. No two elements have different signs, so any alternating subarray may only consist of a single number.
Example case 2. Every subarray is alternating.
Example case 3. The only alternating subarray of length 3 is A3..5
Solution:-
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