LeetCode 2139: Minimum Moves to Reach Target Score Solution

Master LeetCode problem 2139 (Minimum Moves to Reach Target Score), 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.

2139. Minimum Moves to Reach Target Score

Medium

Math Greedy

Problem Explanation

Explanation:

To solve this problem, we can use dynamic programming. We will create an array dp to store the minimum number of moves needed to reach each integer from 1 to the target. At each step, we will consider two options: incrementing by 1 or doubling the current integer. We will update dp[i] by taking the minimum of the following two cases:

Incrementing from i-1 and increasing the moves count by 1.
Doubling from i/2 if i is even and less than or equal to maxDoubles and increasing the moves count by 1.

We will iterate through the array from 1 to the target and update the dp array accordingly. Finally, we return dp[target], which will give us the minimum number of moves needed to reach the target.

Time complexity: O(target)
Space complexity: O(target)

Solution Code

class Solution {
    public int minMoves(int target, int maxDoubles) {
        int[] dp = new int[target + 1];
        
        for (int i = 2; i <= target; i++) {
            dp[i] = dp[i - 1] + 1;
            if (i % 2 == 0 && i / 2 <= maxDoubles) {
                dp[i] = Math.min(dp[i], dp[i / 2] + 1);
            }
        }
        
        return dp[target];
    }
}

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