Given an array of integer numbers, we need to sort this array in a minimum number of steps where in one step we can insert any array element from its position to any other position.
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. The first line of each test case contains an integer N denoting the size of array A.
The second line of each test case contains N space separated integers denoting elements of the array A[ ].
Output the minimum steps needed to sort the array. Print the answer for each test case in a new line.
1<= T <=100
1<= N <=1000
1<= A[ ] <=1000
2 3 5 1 4 7 6