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Leetcode Problem 473. Matchsticks to Square

473. Matchsticks to Square

Leetcode Solutions

Depth First Search with Memoization

  1. Check if the total length of matchsticks is divisible by 4. If not, return false.
  2. Sort the matchsticks in descending order.
  3. Initialize an array sides with four zeros, representing the current length of each side.
  4. Define a recursive function dfs that takes the index of the current matchstick and the sides array.
  5. If the index is equal to the length of the matchsticks array, check if all sides are equal to the target length. If so, return true.
  6. For each side in the sides array, try to place the current matchstick on it.
  7. If the matchstick can be placed (i.e., the side length does not exceed the target), recursively call dfs with the next index and updated sides.
  8. If any recursive call returns true, return true.
  9. If the matchstick cannot be placed on any side, return false.
  10. Use a memoization map to cache the results of subproblems based on the remaining matchsticks and the current state of the sides.
  11. The main function initializes the memoization map and calls the dfs function starting with the first matchstick.
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Backtracking with Pruning

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