Find the cube root of the given number. Assume that all the input test cases will be a perfect cube.Note: Do not use any inbuilt functions / libraries for your main logic.Input FormatThe first line of input contains T - the number of test cases. It is followed by T lines, each containing a single integer.Output FormatFor each test case, print the cube root of the number, separated by a new line.Constraints30 points1 <= T <= 103-109 <= N <= 10970 points1 <= T <= 106-1018 <= N <= 1018ExampleInput5-27-12510006859-19683Output-3-51019-27

Given an array of size 3X+1, where every element occurs three times, except one element, which occurs only once. Find the element that occurs only once.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 (of the form 3X + 1) and second line contains the elements of the array.Output FormatFor each test case, print the number which occurs only once, separated by new line.Constraints30 points1 <= T <= 1001 <= N <= 10370 points1 <= T <= 1001 <= N <= 106ExampleInput2105 7 8 7 7 9 5 9 5 9710 20 20 30 20 30 30Output810

You are given 2 numbers N & P. Print N % P.Input FormatFirst line of input contains T - number of test cases. Its followed by T lines, each line contains 2 numbers N and P, separated by space.Constraints20 points1 <= T <= 1001 <= N <= 10181 <= P <= 10880 points1 <= T <= 1001 <= N <= 10100001 <= P <= 1015Output FormatFor each test case, print the value of N % P, separated by new line.Sample Input 045 24 101085377843 817659438290826691135830692772803 95972011Sample Output 0142242058460316167

Given 2 numbers - A and B, evaluate AB.Note:Do not use any inbuilt functions / libraries for your main logic.Input FormatThe first line of input contains T - the number of test cases. It's followed by T lines, each line containing 2 numbers - A and B, separated by space.Output FormatFor each test case, print AB, separated by new line. Since the result can be very large, print result % 1000000007Constraints30 points1 <= T <= 10000 <= A <= 1060 <= B <= 10370 points1 <= T <= 10000 <= A <= 1060 <= B <= 109ExampleInput45 21 102 3010 10Output25173741817999999937

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

Even SplitGiven a number N, check if you can split the number into 2 non-zero even parts.InputFirst line of input contains T - number of test cases. Its followed by T lines, each line contains a single integer N.OutputFor each test case, print "Yes" if you can split the number into 2 non-zero even parts, "No" otherwise, separated by new line.Constraints1 <= T <= 1050 <= N <= 1018ExampleInput281OutputYesNoExplanationTest Case 1You can split 8 as 4,4 or 6,2.Test Case 2You cannot split 1 into 2 even parts.