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剑指 Offer II 076. 数组中的第 k 大的数字

题目描述

给定整数数组 nums 和整数 k,请返回数组中第 k 个最大的元素。

请注意,你需要找的是数组排序后的第 k 个最大的元素,而不是第 k 个不同的元素。

 

示例 1:

输入: [3,2,1,5,6,4] 和 k = 2
输出: 5

示例 2:

输入: [3,2,3,1,2,4,5,5,6] 和 k = 4
输出: 4

 

提示:

  • 1 <= k <= nums.length <= 104
  • -104 <= nums[i] <= 104

 

注意:本题与主站 215 题相同: https://leetcode.cn/problems/kth-largest-element-in-an-array/

解法

方法一

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class Solution:
    def findKthLargest(self, nums: List[int], k: int) -> int:
        def quick_sort(left, right, k):
            if left == right:
                return nums[left]
            i, j = left - 1, right + 1
            x = nums[(left + right) >> 1]
            while i < j:
                while 1:
                    i += 1
                    if nums[i] >= x:
                        break
                while 1:
                    j -= 1
                    if nums[j] <= x:
                        break
                if i < j:
                    nums[i], nums[j] = nums[j], nums[i]
            if j < k:
                return quick_sort(j + 1, right, k)
            return quick_sort(left, j, k)

        n = len(nums)
        return quick_sort(0, n - 1, n - k)
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class Solution {
    public int findKthLargest(int[] nums, int k) {
        int n = nums.length;
        return quickSort(nums, 0, n - 1, n - k);
    }

    private int quickSort(int[] nums, int left, int right, int k) {
        if (left == right) {
            return nums[left];
        }
        int i = left - 1, j = right + 1;
        int x = nums[(left + right) >>> 1];
        while (i < j) {
            while (nums[++i] < x)
                ;
            while (nums[--j] > x)
                ;
            if (i < j) {
                int t = nums[i];
                nums[i] = nums[j];
                nums[j] = t;
            }
        }
        if (j < k) {
            return quickSort(nums, j + 1, right, k);
        }
        return quickSort(nums, left, j, k);
    }
}
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class Solution {
public:
    int findKthLargest(vector<int>& nums, int k) {
        int n = nums.size();
        return quickSort(nums, 0, n - 1, n - k);
    }

    int quickSort(vector<int>& nums, int left, int right, int k) {
        if (left == right) return nums[left];
        int i = left - 1, j = right + 1;
        int x = nums[left + right >> 1];
        while (i < j) {
            while (nums[++i] < x)
                ;
            while (nums[--j] > x)
                ;
            if (i < j) swap(nums[i], nums[j]);
        }
        return j < k ? quickSort(nums, j + 1, right, k) : quickSort(nums, left, j, k);
    }
};
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func findKthLargest(nums []int, k int) int {
    n := len(nums)
    return quickSort(nums, 0, n-1, n-k)
}

func quickSort(nums []int, left, right, k int) int {
    if left == right {
        return nums[left]
    }
    i, j := left-1, right+1
    x := nums[(left+right)>>1]
    for i < j {
        for {
            i++
            if nums[i] >= x {
                break
            }
        }
        for {
            j--
            if nums[j] <= x {
                break
            }
        }
        if i < j {
            nums[i], nums[j] = nums[j], nums[i]
        }
    }
    if j < k {
        return quickSort(nums, j+1, right, k)
    }
    return quickSort(nums, left, j, k)
}

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