LeetCode 2017: Grid Game Solution

Problem Explanation

Explanation

To solve this problem, we can use dynamic programming to keep track of the maximum points that can be collected by the second robot at each cell. We iterate through the grid from left to right and top to bottom, calculating the maximum points the second robot can collect at each cell based on the choices made by the first robot. The optimal strategy for the first robot is to minimize the points left for the second robot to collect.

Initialize a 2D array dp of size 2 x n to store the maximum points the second robot can collect at each cell.
Iterate through the grid from left to right and top to bottom:
- At each cell (r, c), update dp[r][c] to be the maximum of:
  - The points in the current cell plus the maximum points the second robot can collect from the cell above (if not in the first row).
  - The points in the current cell plus the maximum points the second robot can collect from the cell on the left (if not in the first column).
The maximum points the second robot can collect will be in dp[1][n-1].

Time complexity: O(n), where n is the number of columns in the grid. Space complexity: O(n) for storing the dynamic programming array.

Solution Code

class Solution {
    public long gridGame(int[][] grid) {
        int n = grid[0].length;
        long[][] dp = new long[2][n];
        
        dp[1][n-1] = grid[1][n-1];
        
        for (int r = 0; r < 2; r++) {
            for (int c = n - 2; c >= 0; c--) {
                dp[r][c] = grid[r][c] + Math.min(dp[r][c + 1], (r == 0) ? Long.MAX_VALUE : dp[r - 1][c]);
            }
        }
        
        return dp[1][0];
    }
}

Frequently Asked Questions

How to solve LeetCode 2017 (Grid Game)?

This page provides optimized solutions for LeetCode problem 2017 (Grid Game) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 2017 (Grid Game)?

The time complexity for LeetCode 2017 (Grid Game) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 2017 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 2017 in Java, C++, or Python.

2017. Grid Game