How to Solve Minimum Operations to Form Subsequence With Target Sum Problem
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Minimum Operations to Form Subsequence With Target Sum
You are given a 0-indexed array nums consisting of non-negative powers of 2, and an integer target. In one operation, you must apply the following changes to the array: Choose any element of the array...
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Understanding the Minimum Operations to Form Subsequence With Target Sum Problem
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Problem Statement
You are given a 0-indexed array nums consisting of non-negative powers of 2, and an integer target. In one operation, you must apply the following changes to the array: Choose any element of the array nums[i] such that nums[i] > 1. Remove nums[i] from the array. Add two occurrences of nums[i] / 2 to the end of nums. Return the minimum number of operations you need to perform so that nums contains a subsequence whose elements sum to target. If it is impossible to obtain such a subsequence, return -1. A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.
Minimum Operations to Form Subsequence With Target Sum
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Examples
nums = [1,2,8], target = 71In the first operation, we choose element nums[2]. The array becomes equal to nums = [1,2,4,4]. At this stage, nums contains the subsequence [1,2,4] which sums up to 7. It can be shown that there is no shorter sequence of operations that results in a subsequnce that sums up to 7.
nums = [1,32,1,2], target = 122In the first operation, we choose element nums[1]. The array becomes equal to nums = [1,1,2,16,16]. In the second operation, we choose element nums[3]. The array becomes equal to nums = [1,1,2,16,8,8] At this stage, nums contains the subsequence [1,1,2,8] which sums up to 12. It can be shown that there is no shorter sequence of operations that results in a subsequence that sums up to 12.
nums = [1,32,1], target = 35-1It can be shown that no sequence of operations results in a subsequence that sums up to 35.
Constraints
1 <= nums.length <= 10001 <= nums[i] <= 230nums consists only of non-negative powers of two.1 <= target < 231How Interview Coder Helps with Leetcode Problems
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