LeetCode 1497: Check If Array Pairs Are Divisible by k Solution

Master LeetCode problem 1497 (Check If Array Pairs Are Divisible by 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.

1497. Check If Array Pairs Are Divisible by k

Medium

Array Hash Table Counting

Problem Explanation

Explanation:

To solve this problem, we can use a hashmap to keep track of the remainders of the elements in the array when divided by k. We iterate through the array and for each element, we calculate its remainder with k. If the remainder is negative, we add k to make it positive.

For each remainder, we check if there is a corresponding element in the hashmap such that their remainders sum up to k. If we find such a pair, we can form a valid pair. If not, we return false.

Time Complexity:

The time complexity of this approach is O(n) where n is the number of elements in the input array.

Space Complexity:

The space complexity is O(k) where k is the maximum value of k.

Solution Code

class Solution {
    public boolean canArrange(int[] arr, int k) {
        int[] remainderCount = new int[k];
        for (int num : arr) {
            int remainder = num % k;
            if (remainder < 0) {
                remainder += k;
            }
            remainderCount[remainder]++;
        }
        
        for (int i = 1; i < k; i++) {
            if (remainderCount[i] != remainderCount[k - i]) {
                return false;
            }
        }
        
        return remainderCount[0] % 2 == 0;
    }
}

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