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

med
30 min
Explore how to identify triplets in an integer array such that the XOR of one subarray equals the XOR of another. Understand bitwise XOR operations and develop efficient approaches to solve this pattern-based problem using Python.

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

Tap here to switch tabs
Problem
Ask
Submissions

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

med
30 min
Explore how to identify triplets in an integer array such that the XOR of one subarray equals the XOR of another. Understand bitwise XOR operations and develop efficient approaches to solve this pattern-based problem using Python.

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