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Problem: Count Triplets That Can Form Two Arrays of Equal XOR

Medium
30 min
Explore how to identify triplets in an integer array where the XOR of two subarrays are equal. Learn to apply bitwise XOR operations effectively, understand the problem constraints, and implement an efficient solution in Python to solve this coding interview pattern.

Statement

Given an array of integers, arr, we need to find three indices, i, j, and k, such that 00\leq i << j \leq k << arr.length.

We define two values, a and b, as follows:

  • a = arr[i] ^ arr[i + 1] ^ ... ^ arr[j - 1]

  • b = arr[j] ^ arr[j + 1] ^ ... ^ arr[k]

Note: ^ denotes the bitwise-xor operation.

Return the count of triplets (i, j, k) for which a is equal to b.

Constraints:

  • 11 \leq arr.length 300\leq 300

  • 11 \leq arr[i] 1000\leq 1000

Problem
Ask
Submissions

Problem: Count Triplets That Can Form Two Arrays of Equal XOR

Medium
30 min
Explore how to identify triplets in an integer array where the XOR of two subarrays are equal. Learn to apply bitwise XOR operations effectively, understand the problem constraints, and implement an efficient solution in Python to solve this coding interview pattern.

Statement

Given an array of integers, arr, we need to find three indices, i, j, and k, such that 00\leq i << j \leq k << arr.length.

We define two values, a and b, as follows:

  • a = arr[i] ^ arr[i + 1] ^ ... ^ arr[j - 1]

  • b = arr[j] ^ arr[j + 1] ^ ... ^ arr[k]

Note: ^ denotes the bitwise-xor operation.

Return the count of triplets (i, j, k) for which a is equal to b.

Constraints:

  • 11 \leq arr.length 300\leq 300

  • 11 \leq arr[i] 1000\leq 1000