Leetcode Problem 486. Predict the Winner

486. Predict the Winner

Leetcode Solutions

Dynamic Programming, Bottom-Up Approach

  1. Initialize a 2D array dp of size n x n where n is the length of the input array nums.
  2. Fill the diagonal of the dp array with the values of nums, since when the subarray length is 1, the score difference is the number itself.
  3. For each subarray length from 2 to n, fill in the dp array by considering subarrays nums[i...j].
  4. For each subarray nums[i...j], calculate the score difference for two scenarios: taking the leftmost element (nums[i] - dp[i+1][j]) or the rightmost element (nums[j] - dp[i][j-1]).
  5. Choose the option that gives the maximum score difference and update dp[i][j] with this value.
  6. After filling the entire dp array, check if dp[0][n-1] is greater than or equal to 0. If it is, return true, indicating that Player 1 can win; otherwise, return false.
UML Thumbnail

Recursion with Memoization

Ask Question

Programming Language
image/screenshot of info(optional)
Full Screen
Loading...

Suggested Answer

Answer
Full Screen
Copy Answer Code
Loading...