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Leetcode Problem 2638. Count the Number of K-Free Subsets
2638. Count the Number of K-Free Subsets
AI Mock Interview
Leetcode Solutions
Grouping and Dynamic Programming Approach
Solution Idea
Algorithm Steps
Code Implementation
Complexity Analysis
Sort the array
nums
.
Group the sorted numbers into chains where each chain consists of numbers that are
k
apart.
Initialize a dynamic programming array
dp
with
dp[0] = 1
and
dp[1] = 2
.
For each chain, calculate the number of k-Free subsets using the recurrence relation
dp[i] = 1 + dp[i - 1] + dp[i - 2]
.
Calculate the product of the number of k-Free subsets for all chains.
Return the product as the final result.
Backtracking with Pruning
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