Given an array of n integers. The task is to remove or delete minimum number of elements from the array so that when the remaining elements are placed in the same sequence order form a sorted sequence.
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 number of deletions to make a sorted sequence. Print the answer in a new line.
1<= T <=100
1<= N <=1000
1<= A[ ] <=1000
5 6 1 7 4