12342 - Inversion Pair   

Description

For a sequence {X1, X2, …, Xn}, we call (i,j) an "inversion pair" if Xi > Xj and i < j. Given a sequence, calculate the number of inversion pairs in this sequence.

Input

There are multiple test cases. Each case begins with an integer n, followed by n integers from X1 to Xn. The input is terminated when n=0.

Output

For each test case, print the number of inversion pairs in the given sequence. Note that you have to add '\n' at the end of each line.

Sample Input  Download

Sample Output  Download

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