SP25784 BUBBLESORT - Bubble Sort

Description

One of the simplest sorting algorithms, the Bubble Sort, can be expressed as (0-based array): procedure bubbleSort( A : list of sortable items ) n = length(A) repeat swapped = false for i = 1 to n-1 inclusive do /\* if this pair is out of order \*/ if A\[i-1\] > A\[i\] then /\* swap them and remember something changed \*/ swap( A\[i-1\], A\[i\] ) swapped = true end if end for until not swapped end procedure Now, given an array of N integers, you have to find out how many swap opeartions occur if the Bubble Sort algorithm is used to sort the array.

Input Format

Input begins with a line containing an integer **T(1

Output Format

For each test case, output a single line in the format **Case X: Y**, where **X** denotes the test case number and **Y** denotes the number of swap operations needed modulo 10000007.