LeetCode 3086: Minimum Moves to Pick K Ones Solution

Master LeetCode problem 3086 (Minimum Moves to Pick K Ones), 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.

3086. Minimum Moves to Pick K Ones

Hard

Array Greedy Sliding Window Prefix Sum

Problem Explanation

Explanation

To solve this problem, we can use a sliding window approach to find the minimum number of moves required for Alice to pick exactly k ones. We can iterate through the array and maintain a window of size k. We can calculate the number of ones in the current window and adjust the number of moves needed based on the actions Alice can take.

Initialize variables for total ones in the current window, zeros that need to be converted to ones, and total moves needed.
Iterate through the array and maintain the window of size k.
Calculate the number of ones and zeros in the window.
Based on the number of ones and zeros, update the moves needed.
Slide the window by removing the left element and adding the right element.

Time Complexity: O(n) Space Complexity: O(1)

Solution Code

class Solution {
    public int minMoves(int[] nums, int k, int maxChanges) {
        int n = nums.length;
        int ones = 0, zeros = 0, moves = 0, minMoves = Integer.MAX_VALUE;
        
        for (int i = 0; i < n; i++) {
            if (i >= k) {
                if (nums[i - k] == 1) {
                    ones--;
                }
            }
            if (nums[i] == 1) {
                ones++;
                moves += zeros;
            }
            if (i >= k - 1) {
                minMoves = Math.min(minMoves, moves);
                if (nums[i - k + 1] == 0) {
                    zeros++;
                }
                moves -= zeros;
            }
        }
        
        int onesTarget = 0;
        for (int i = 0; i < n; i++) {
            if (nums[i] == 1) {
                onesTarget += Math.abs(i - onesTarget);
            }
        }
        
        return minMoves - onesTarget;
    }
}

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