diff --git "a/minimum_operations_to_form_subsequence_with_target_sum/meta.json" "b/minimum_operations_to_form_subsequence_with_target_sum/meta.json" new file mode 100644--- /dev/null +++ "b/minimum_operations_to_form_subsequence_with_target_sum/meta.json" @@ -0,0 +1,5248 @@ +{ + "id": 3025, + "name": "minimum_operations_to_form_subsequence_with_target_sum", + "difficulty": "Hard", + "link": "https://leetcode.com/problems/minimum-operations-to-form-subsequence-with-target-sum/", + "date": "2023-08-20 00:00:00", + "task_description": "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. **Example 1:** ``` **Input:** nums = [1,2,8], target = 7 **Output:** 1 **Explanation:** In 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. ``` **Example 2:** ``` **Input:** nums = [1,32,1,2], target = 12 **Output:** 2 **Explanation:** In 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. ``` **Example 3:** ``` **Input:** nums = [1,32,1], target = 35 **Output:** -1 **Explanation:** It can be shown that no sequence of operations results in a subsequence that sums up to 35. ``` **Constraints:** `1 <= nums.length <= 1000` `1 <= nums[i] <= 230` `nums` consists only of non-negative powers of two. `1 <= target < 231`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [1,2,8], target = 7", + "output": "1 " + }, + { + "label": "Example 2", + "input": "nums = [1,32,1,2], target = 12", + "output": "2 " + }, + { + "label": "Example 3", + "input": "nums = [1,32,1], target = 35", + "output": "-1 " + } + ], + "private_test_cases": [ + { + "input": [ + [ + 256, + 536870912, + 134217728, + 33554432, + 524288, + 64, + 2048, + 268435456, + 8192, + 64, + 33554432, + 8192, + 268435456, + 4194304, + 1073741824, + 67108864, + 128, + 1048576, + 1, + 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