Given N non-negative integers where each represents a point at coordinate . N vertical lines are drawn such that the two endpoints of line i is at and . Find two lines, which together with x-axis forms a container, such that the container contains the most water.
The first line of input contains an integer T denoting the number of test cases. Each test case contains an integer N followed by N space separated integers.
For each test case, the output is the integer denoting the maximum area of water that can be contained ( maximum area instead of maximum volume as working with 2D)
1 5 4 3
3 1 2 4 5
1. 5 and 3 are distance 2 apart. So the size of the base = 2. Height of container = min(5, 3) = 3. So total area = 3 * 2 = 6.
2. 5 and 3 are distance 4 apart. So the size of the base = 4. Height of container = min(5, 3) = 3. So total area = 4 * 3 = 12.
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