Leetcode Problem 2518. Number of Great Partitions

2518. Number of Great Partitions

Leetcode Solutions

Dynamic Programming - Subset Sum Approach

  1. Initialize a dynamic programming array dp with size k and set dp[0] to 1 (base case: one way to achieve sum 0).
  2. Iterate over the elements in nums and for each element num, iterate backwards from k-1 to num, updating dp[i] by adding dp[i - num] to it.
  3. Calculate the total number of partitions as 2^n, where n is the number of elements in nums.
  4. Calculate the number of invalid partitions by summing up the values in dp array for sums less than k.
  5. Subtract twice the number of invalid partitions from the total number of partitions to get the number of great partitions.
  6. Return the result modulo 10^9 + 7.
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Backtracking with Memoization

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