Given n positive integers representing the histogram's bar height where the width of each bar is 1, find the area of largest rectangle in the histogram.
Above is a histogram where width of each bar is 1, given height =[2,1,5,6,2,3].
The largest rectangle is shown in the shaded area, which has area = 10 unit.
The first line of the input file contains an integer T (T<=100) specifying the number of test cases.
Each test case begins with a line containing an integer N (1<=N<=100000),The following N-1 lines each contain a integer A[i](1<=A[i]<=10000).
For each query, output a single line containing largest area.