Leetcode Problem 1815. Maximum Number of Groups Getting Fresh Donuts

1815. Maximum Number of Groups Getting Fresh Donuts

Leetcode Solutions

DFS with Memorization and Greedy Optimization

  1. Calculate the remainder of each group size modulo batchSize and store the counts of each remainder.
  2. Increment the count of happy groups for all groups with a remainder of 0, as they can be served immediately.
  3. Use a greedy approach to pair up groups with complementary remainders (e.g., if batchSize is 5, pair up groups with remainders 1 and 4).
  4. Implement a DFS function that takes the current remainder and the count of groups for each possible remainder as arguments.
  5. In the DFS function, check if the current state has been computed before using a memorization map. If so, return the stored result.
  6. If the current remainder is 0, increment the count of happy groups and set the current remainder to batchSize.
  7. Iterate over all possible remainders and recursively call the DFS function after decrementing the count for the current remainder.
  8. Store the result of the DFS call in the memorization map before returning it.
  9. The final result is the sum of the initial count of happy groups and the result of the DFS call starting with a remainder of 0.
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Brute Force with Optimization

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