Leetcode Problem 1799. Maximize Score After N Operations

1799. Maximize Score After N Operations

Leetcode Solutions

Dynamic Programming with Bitmasking

  1. Define a recursive function backtrack that takes the current bitmask, the number of pairs picked so far, and the memoization table as arguments.
  2. If all elements have been picked, return 0 as the base case.
  3. If the current state has been computed before, return the stored result from the memo table.
  4. Initialize maxScore to 0.
  5. Iterate over all pairs of indices in the nums array that have not been picked yet (indicated by the bitmask).
  6. For each pair, calculate the current score as i * gcd(nums[x], nums[y]), where i is the number of pairs already picked plus 1.
  7. Update the bitmask to reflect that the current pair has been picked and recursively call backtrack on the new state.
  8. Update maxScore with the maximum of itself and the sum of the current score and the recursive call result.
  9. After exploring all pairs, store the computed maxScore in the memo table and return it.
  10. Initialize the memo table with -1 for all states and call backtrack with an initial state of 0 (no elements picked) and 0 pairs picked.
  11. Return the result of the backtrack function as the maximum score.
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Brute Force with Optimization

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