LeetCode 2857: Count Pairs of Points With Distance k Solution

Master LeetCode problem 2857 (Count Pairs of Points With Distance k), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2857. Count Pairs of Points With Distance k

Medium

Array Hash Table Bit Manipulation

Problem Explanation

Explanation:

To solve this problem, we can iterate through all pairs of points and calculate the distance between them using the XOR operation on their x and y coordinates. We need to count the pairs that have a distance equal to k.

Here is the detailed algorithm:

Initialize a counter variable count to 0.
Iterate over all pairs of points (i, j) where i < j.
Calculate the distance between points i and j using the XOR operation on their x and y coordinates.
If the calculated distance is equal to k, increment the count.
Return the final count of pairs with a distance of k.

Time complexity: O(n^2) where n is the number of points in the coordinates array. Space complexity: O(1) as we are using constant extra space.

: :

Solution Code

class Solution {
    public int countPairs(int[][] coordinates, int k) {
        int count = 0;
        for (int i = 0; i < coordinates.length; i++) {
            for (int j = i + 1; j < coordinates.length; j++) {
                int distance = (coordinates[i][0] ^ coordinates[j][0]) + (coordinates[i][1] ^ coordinates[j][1]);
                if (distance == k) {
                    count++;
                }
            }
        }
        return count;
    }
}

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