README_EN.md

2567. Minimum Score by Changing Two Elements

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Description

You are given a 0-indexed integer array nums.

• The low score of nums is the minimum value of |nums[i] - nums[j]| over all 0 <= i < j < nums.length.
• The high score of nums is the maximum value of |nums[i] - nums[j]| over all 0 <= i < j < nums.length.
• The score of nums is the sum of the high and low scores of nums.

To minimize the score of nums, we can change the value of at most two elements of nums.

Return the minimum possible score after changing the value of at most two elements of nums.

Note that |x| denotes the absolute value of x.

 

Example 1:

Input: nums = [1,4,3]
Output: 0
Explanation: Change value of nums[1] and nums[2] to 1 so that nums becomes [1,1,1]. Now, the value of |nums[i] - nums[j]| is always equal to 0, so we return 0 + 0 = 0.

Example 2:

Input: nums = [1,4,7,8,5]
Output: 3
Explanation: Change nums[0] and nums[1] to be 6. Now nums becomes [6,6,7,8,5].
Our low score is achieved when i = 0 and j = 1, in which case |nums[i] - nums[j]| = |6 - 6| = 0.
Our high score is achieved when i = 3 and j = 4, in which case |nums[i] - nums[j]| = |8 - 5| = 3.
The sum of our high and low score is 3, which we can prove to be minimal.

 

Constraints:

• 3 <= nums.length <= 105
• 1 <= nums[i] <= 109

Solutions

Python3

class Solution:
    def minimizeSum(self, nums: List[int]) -> int:
        nums.sort()
        return min(nums[-1] - nums[2], nums[-2] - nums[1], nums[-3] - nums[0])

Java

class Solution {
    public int minimizeSum(int[] nums) {
        Arrays.sort(nums);
        int n = nums.length;
        int a = nums[n - 1] - nums[2];
        int b = nums[n - 2] - nums[1];
        int c = nums[n - 3] - nums[0];
        return Math.min(a, Math.min(b, c));
    }
}

C++

class Solution {
public:
    int minimizeSum(vector<int>& nums) {
        sort(nums.begin(), nums.end());
        int n = nums.size();
        return min({nums[n - 1] - nums[2], nums[n - 2] - nums[1], nums[n - 3] - nums[0]});
    }
};

Go

func minimizeSum(nums []int) int {
	sort.Ints(nums)
	n := len(nums)
	return min(nums[n-1]-nums[2], min(nums[n-2]-nums[1], nums[n-3]-nums[0]))
}

func min(a, b int) int {
	if a < b {
		return a
	}
	return b
}

TypeScript

function minimizeSum(nums: number[]): number {
    nums.sort((a, b) => a - b);
    const n = nums.length;
    return Math.min(nums[n - 3] - nums[0], nums[n - 2] - nums[1], nums[n - 1] - nums[2]);
}

Rust

impl Solution {
    pub fn minimize_sum(mut nums: Vec<i32>) -> i32 {
        nums.sort();
        let n = nums.len();
        (nums[n - 1] - nums[2])
            .min(nums[n - 2] - nums[1])
            .min(nums[n - 3] - nums[0])
    }
}

C

#define min(a, b) (((a) < (b)) ? (a) : (b))

int cmp(const void* a, const void* b) {
    return *(int*) a - *(int*) b;
}

int minimizeSum(int* nums, int numsSize) {
    qsort(nums, numsSize, sizeof(int), cmp);
    return min(nums[numsSize - 1] - nums[2], min(nums[numsSize - 2] - nums[1], nums[numsSize - 3] - nums[0]));
}

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