Leetcode Problem 1510. Stone Game IV

1510. Stone Game IV

Leetcode Solutions

Dynamic Programming Approach

  1. Initialize a boolean array dp of size n + 1 and set dp[0] to false because if there are no stones left, the current player loses.
  2. Iterate over each state i from 1 to n.
  3. For each state i, iterate over all possible square numbers k such that k * k <= i.
  4. If dp[i - k * k] is false, it means the current player can force the opponent into a losing state by removing k * k stones. Set dp[i] to true and break the loop.
  5. If no such k is found, set dp[i] to false.
  6. After filling the dp array, return the value of dp[n], which represents whether Alice can win with n stones.
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DFS with Memoization Approach

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