BUBBLESORT - Bubble Sort

题意翻译

### 题目描述 $T$组数据,每次给出长度为$N$的序列,求用冒泡排序对其排序至少需要交换几次,答案Mod10000007 **PS:以`Case t: ans`的形式依次输出,表示第$t$组数据的答案**

题目描述

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.

输入输出格式

输入格式


Input begins with a line containing an integer **T(1<=T<=100)**, denoting the number of test cases. Then T test cases follow. Each test case begins with a line containing an integer **N(1<=N<=10000)**, denoting the number of integers in the array, followed by a line containing **N** space separated 32-bit integers.

输出格式


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.

输入输出样例

输入样例 #1

1
4
3 2 1 4

输出样例 #1

Case 1: 3