Sherlock and XOR
Practice
3.8 (63 votes)
Approved
Basic programming
Easy
Math
Open
Problem
84% Success 31386 Attempts 20 Points 2s Time Limit 256MB Memory 1024 KB Max Code
You are given an array A1,A2...AN. You have to tell how many pairs (i, j) exist such that 1 ≤ i < j ≤ N and Ai XOR Aj is odd.
Input and Output
First line T, the number of testcases. Each testcase: first line N, followed by N integers in next line. For each testcase, print the required answer in one line.
Constraints
1 ≤ T ≤ 10
1 ≤ N ≤ 105
0 ≤ Ai ≤ 109
Sample Input
2 3 1 2 3 4 1 2 3 4
Sample Output
2 4
Explanation
For first testcase: 1 XOR 2 is 3 and 2 XOR 3 is 1. So, 2 valid pairs. For second testcase: 1 XOR 2 is 3 and 2 XOR 3 is 1 and 1 XOR 4 is 5 and 3 XOR 4 is 7. So, 4 valid pairs.
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