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Leetcode Problem 2638. Count the Number of K-Free Subsets

2638. Count the Number of K-Free Subsets

Leetcode Solutions

Grouping and Dynamic Programming Approach

  1. Sort the array nums.
  2. Group the sorted numbers into chains where each chain consists of numbers that are k apart.
  3. Initialize a dynamic programming array dp with dp[0] = 1 and dp[1] = 2.
  4. For each chain, calculate the number of k-Free subsets using the recurrence relation dp[i] = 1 + dp[i - 1] + dp[i - 2].
  5. Calculate the product of the number of k-Free subsets for all chains.
  6. Return the product as the final result.
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