LeetCode 3444: Minimum Increments for Target Multiples in an Array Solution

Master LeetCode problem 3444 (Minimum Increments for Target Multiples in an Array), a hard 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.

3444. Minimum Increments for Target Multiples in an Array

Hard

Array Math Dynamic Programming Bit Manipulation Number Theory Bitmask

Problem Explanation

Explanation:

To solve this problem, we can iterate through the target array and keep track of the required multiples for each target element. Then, we iterate through the nums array, incrementing the elements as needed to match the required multiples for each target element. The key idea is to find the minimum number of operations to make each target element have at least one multiple in the nums array.

Here is the step-by-step algorithm:

Create a map to store the required multiples for each target element.
Iterate through the target array and store the required multiples in the map.
Iterate through the nums array and for each element, check if it can be used as a multiple for any target element. If yes, increment the element to match the target multiple and update the map.
Count the total number of operations required.

Time Complexity: O(n), where n is the length of the nums array. Space Complexity: O(m), where m is the length of the target array.

Solution Code

import java.util.HashMap;
import java.util.Map;

class Solution {
    public int minOperations(int[] nums, int[] target) {
        Map<Integer, Integer> requiredMultiples = new HashMap<>();
        for (int t : target) {
            requiredMultiples.put(t, 0);
        }
        
        for (int num : nums) {
            for (int t : target) {
                if (num % t == 0 && requiredMultiples.get(t) == 0) {
                    requiredMultiples.put(t, num / t);
                }
            }
        }
        
        int operations = 0;
        for (int t : target) {
            if (requiredMultiples.get(t) == 0) {
                operations++;
            }
        }
        
        return operations;
    }
}

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