Leetcode Problem 1340. Jump Game V

1340. Jump Game V

Leetcode Solutions

Dynamic Programming with Memoization

  1. Initialize a memoization array dp with -1 for all indices, indicating that we haven't computed the result for that index yet.
  2. Define a recursive function dfs that takes the current index i, the array arr, the jump distance d, and the memoization array dp as arguments.
  3. In the dfs function, if dp[i] is not -1, return dp[i] as we have already computed the result for this index.
  4. Initialize variables left and right to store the maximum number of indices that can be visited by jumping left and right, respectively.
  5. Perform a loop from i-1 to max(0, i-d) and for each index l, if arr[i] is greater than arr[l], recursively call dfs(l, arr, d, dp) and update left with the maximum result.
  6. Perform a similar loop from i+1 to min(arr.length - 1, i+d) for the right direction and update right accordingly.
  7. Set dp[i] to 1 + max(left, right) and return this value.
  8. In the main function, iterate over all indices and call dfs for each index if dp[i] is -1. Keep track of the maximum result returned by dfs.
  9. Return the maximum result as the final answer.
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Intuitive Topological Sort

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