Leetcode Problem 1125. Smallest Sufficient Team

1125. Smallest Sufficient Team

Leetcode Solutions

Bottom-Up Dynamic Programming with Bitmasks

  1. Map each skill to a unique index and represent the set of skills as a bitmask.
  2. Initialize a DP array dp where dp[mask] represents the smallest team that can cover the skills represented by mask.
  3. Set dp[0] to 0, representing an empty team for no skills.
  4. For each skillsMask from 1 to 2^m - 1, iterate over all people.
  5. For each person, calculate smallerSkillsMask by removing the person's skills from skillsMask.
  6. Update dp[skillsMask] with the smaller of the current value or the union of dp[smallerSkillsMask] and the current person.
  7. After filling the DP array, reconstruct the team from dp[2^m - 1].
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Top-Down Dynamic Programming (Memoization) with Bitmasks

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