LeetCode 2219: Maximum Sum Score of Array Solution
Master LeetCode problem 2219 (Maximum Sum Score of Array), 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.
2219. Maximum Sum Score of Array
Problem Explanation
Explanation:
The problem asks us to find the maximum sum of a score we can get by performing operations on an array. We are allowed to choose two numbers at a time and perform the following operations:
- Multiply one of the chosen numbers by 2.
- Multiply one of the chosen numbers by 3.
- Add one to one of the chosen numbers.
We need to find the maximum possible sum of the score after performing these operations on the array.
To solve this problem, we can use dynamic programming. We will iterate through the array and keep track of the maximum score we can get for each element in the array. We will maintain two arrays:
maxScores: Stores the maximum score we can achieve for each element by choosing that element as the second number.dp: Stores the maximum score we can achieve for each element by choosing that element as the first number.
At each step, we update dp[i] based on the maximum scores we have calculated so far. The final answer will be the maximum score in the dp array.
:
Solution Code
class Solution {
public int maxScore(int[] nums) {
int n = nums.length;
int[] maxScores = new int[n];
int[] dp = new int[n];
maxScores[n - 1] = nums[n - 1] * 2;
dp[n - 1] = nums[n - 1];
for (int i = n - 2; i >= 0; i--) {
maxScores[i] = Math.max(nums[i] * 2 + maxScores[i + 1], nums[i] * 3 + dp[i + 1]);
dp[i] = Math.max(nums[i] + dp[i + 1], nums[i] * 2);
}
return dp[0];
}
}Try It Yourself
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