Problem Description

Here N (N ≥ 3) rabbits are playing by the river. They are playing on a number line, each occupying a different integer. In a single move, one of the outer rabbits jumps into a space between any other two. At no point may two rabbits occupy the same position.

Help them play as long as possible

Input

The input has several test cases. The first line of input contains an integer t (1 ≤ t ≤ 500) indicating the number of test cases.

For each case the first line contains the integer N (3 ≤ N ≤ 500) described as above. The second line contains n integers a1 < a2 < a3 < ... < aN which are the initial positions of the rabbits. For each rabbit, its initial position

ai satisfies 1 ≤ ai ≤ 10000.

Output

For each case, output the largest number of moves the rabbits can make.

Sample Input

5

3

3 4 6

3

2 3 5

3

3 5 9

4

1 2 3 4

4

1 2 4 5

Sample Output

1

1

3

0

1

题意：

有N个兔子在数轴上，最外面的兔子可以移动到其他任意两个兔子之间的位置上，一个位置只能待一次。问最大移动的次数。

题解：

其实想想很简单，答案就是相邻兔子的距离和 减去 第一段距离和最后一段距离中的较小值。

#include
    
     #include
     
      using namespace std;const int maxn=505;int a[maxn];int main(){    int t;    cin>>t;    while(t--)    {        int n;        cin>>n;        for(int i=0;i
      
       >a[i];        int sum=0;        for(int i=1;i