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You are given an array of integers. For each element in the array, find the number of smaller elements on the right side and print the total count.Input FormatThe first line of input contains T - the number of test cases. It's followed by 2T lines, the first line contains N - the size of the array. The second line contains the elements of the array.Output FormatFor each test case, print the sum of count of smaller elements on right side of each element in the array, separated by new line.Constraints30 points1 <= N <= 10370 points1 <= N <= 105General Constraints1 <= T <= 100-104 <= A[i] <= 104ExampleInput254 10 54 11 8615 35 25 10 15 12Output410ExplanationTest Case 1Smaller Elements on right side of 4 : 0Smaller Elements on right side of 10 : 1Smaller Elements on right side of 54 : 2Smaller Elements on right side of 11 : 1Smaller Elements on right side of 8 : 0Total Count = 0 + 1 + 2 + 1 + 0 = 4Test Case 2Smaller Elements on right side of 15 : 2Smaller Elements on right side of 35 : 4Smaller Elements on right side of 25 : 3Smaller Elements on right side of 10 : 0Smaller Elements on right side of 15 : 1Smaller Elements on right side of 12 : 0Total Count = 2 + 4 + 3 + 0 + 1 + 0 = 10

Question

You are given an array of integers. For each element in the array, find the number of smaller elements on the right side and print the total count.Input FormatThe first line of input contains T - the number of test cases. It's followed by 2T lines, the first line contains N - the size of the array. The second line contains the elements of the array.Output FormatFor each test case, print the sum of count of smaller elements on right side of each element in the array, separated by new line.Constraints30 points1 <= N <= 10370 points1 <= N <= 105General Constraints1 <= T <= 100-104 <= A[i] <= 104ExampleInput254 10 54 11 8615 35 25 10 15 12Output410ExplanationTest Case 1Smaller Elements on right side of 4 : 0Smaller Elements on right side of 10 : 1Smaller Elements on right side of 54 : 2Smaller Elements on right side of 11 : 1Smaller Elements on right side of 8 : 0Total Count = 0 + 1 + 2 + 1 + 0 = 4Test Case 2Smaller Elements on right side of 15 : 2Smaller Elements on right side of 35 : 4Smaller Elements on right side of 25 : 3Smaller Elements on right side of 10 : 0Smaller Elements on right side of 15 : 1Smaller Elements on right side of 12 : 0Total Count = 2 + 4 + 3 + 0 + 1 + 0 = 10

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Solution

This problem can be solved using a brute force approach or a more efficient approach using a Binary Indexed Tree (BIT) or a Segment Tree. Here, I will explain the brute force approach.

Step 1: Initialize a variable total_count to 0. This will keep track of the total count of smaller elements on the right side of each element in the array.

Step 2: Loop through the array from left to right. For each element, initialize a variable count to 0. This will keep track of the count of smaller elements on the right side of the current element.

Step 3: For each element, loop through the rest of the array on its right. If any element on the right is smaller than the current element, increment count by 1.

Step 4: After the inner loop finishes for an element, add count to total_count.

Step 5: Repeat steps 2 to 4 for all elements in the array.

Step 6: After the outer loop finishes,

This problem has been solved

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