How to Solve Make Lexicographically Smallest Array by Swapping Elements Problem
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Make Lexicographically Smallest Array by Swapping Elements
You are given a 0-indexed array of positive integers nums and a positive integer limit. In one operation, you can choose any two indices i and j and swap nums[i] and nums[j] if |nums[i] - nums[j]| <= ...
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Problem Statement
You are given a 0-indexed array of positive integers nums and a positive integer limit. In one operation, you can choose any two indices i and j and swap nums[i] and nums[j] if |nums[i] - nums[j]| <= limit. Return the lexicographically smallest array that can be obtained by performing the operation any number of times. An array a is lexicographically smaller than an array b if in the first position where a and b differ, array a has an element that is less than the corresponding element in b. For example, the array [2,10,3] is lexicographically smaller than the array [10,2,3] because they differ at index 0 and 2 < 10.
Make Lexicographically Smallest Array by Swapping Elements
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Examples
nums = [1,5,3,9,8], limit = 2
[1,3,5,8,9]
Apply the operation 2 times: - Swap nums[1] with nums[2]. The array becomes [1,3,5,9,8] - Swap nums[3] with nums[4]. The array becomes [1,3,5,8,9] We cannot obtain a lexicographically smaller array by applying any more operations. Note that it may be possible to get the same result by doing different operations.
nums = [1,7,6,18,2,1], limit = 3
[1,6,7,18,1,2]
Apply the operation 3 times: - Swap nums[1] with nums[2]. The array becomes [1,6,7,18,2,1] - Swap nums[0] with nums[4]. The array becomes [2,6,7,18,1,1] - Swap nums[0] with nums[5]. The array becomes [1,6,7,18,1,2] We cannot obtain a lexicographically smaller array by applying any more operations.
nums = [1,7,28,19,10], limit = 3
[1,7,28,19,10]
[1,7,28,19,10] is the lexicographically smallest array we can obtain because we cannot apply the operation on any two indices.
Constraints
1 <= nums.length <= 105
1 <= nums[i] <= 109
1 <= limit <= 109
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