Count Pairs
Practice
3.6 (9 votes)
Basic programming
Bit manipulation
Basics of bit manipulation
Problem
50% Success 2403 Attempts 20 Points 1s Time Limit 256MB Memory 1024 KB Max Code

Problem:

You are given a sequence of integers \(A\) of length \(N\). Find the number of pairs of indices \((i,j)\) \((1\leq i \lt j \leq N)\) for which \(min(A[i],A[j]) \leq A[i] \oplus A[j]\).

Here, \(\oplus\) denotes the bitwise XOR operation.

 Input Format:

  • The first line of the input contains a single integer \(T\) - the number of test cases. The description of \(T\) test cases follows.
  • The first line of each test case contains a single integer \(N\).
  • The second line contains \(N\) space-separated integers \(A_1, A_2, \ldots, A_N\)​.

Output Format:

  • For each test case print a single integer — the answer to the problem.

Constraints:

  • \(1 \leq T \leq 200\)
  • \(2 \leq N \leq 10^{5}\)
  • \(0 \leq A_i \lt 2^{30}\) for each valid \(i\)
  • The sum of \(N\) over all test cases does not exceed \(10^6\)

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