Emuskald needs a fence around his farm, but he is too lazy to build it himself. So he purchased a fence-building robot.

He wants the fence to be a regular polygon. The robot builds the fence along a single path, but it can only make fence corners at a single angle *a*.

Will the robot be able to build the fence Emuskald wants? In other words, is there a regular polygon which angles are equal to *a*?
The first line of input contains an integer *t* (0 &lt; *t* &lt; 180) — the number of tests. Each of the following *t* lines contains a single integer *a* (0 &lt; *a* &lt; 180) — the angle the robot can make corners at measured in degrees.
n, k = map(int, input().split())
h = list(map(int, input().split()))

Sum = sum(h[:k])
Min = Sum
MinIndex = 1
for i in range(1, n + 1 - k):
    Sum -= h[i - 1]
    Sum += h[i + k - 1]
    if Sum < Min:
        Min = Sum
        MinIndex = i + 1
print(MinIndex)