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Leetcode Problem 1626. Best Team With No Conflicts

1626. Best Team With No Conflicts

Leetcode Solutions

Approach: Top-Down Dynamic Programming

  1. Pair each player's age with their score and store these pairs in a list ageScorePair.
  2. Sort ageScorePair by age, and then by score in ascending order.
  3. Use a recursive function dfs that takes the current index and the index of the last player added to the team. This function returns the maximum score possible from this point onwards.
  4. In dfs, if the current player can be added without conflict (i.e., their score is higher than the last added player's score), explore both possibilities: adding or not adding the player to the team.
  5. Use memoization to store the results of subproblems to avoid redundant calculations.
  6. The base case for dfs is when all players have been considered, in which case the function returns 0.
  7. The maximum score obtained from dfs starting with the first player and no previous player is the result.
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Approach: Bottom-Up Dynamic Programming

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