[leetcode] problem 215 – kth largest element in an array

Find the kth largest element in an unsorted array. Note that it is the kth largest element in the sorted order, not the kth distinct element.

Example

No.1

Input: [3,2,1,5,6,4] and k = 2

Output: 5

No.2

Input: [3,2,3,1,2,4,5,5,6] and k = 4

Output: 4

Note

You may assume k is always valid, 1 ≤ k ≤ array’s length.

Code

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public int (int[] nums, int k) {
return sort(nums, k, 0, nums.length - 1);
}

private int sort(int[] nums, int k, int left, int right) {
int pivot = partition(nums, left, right);

if (pivot == nums.length - k)
return nums[pivot];
else if (pivot < nums.length - k)
return sort(nums, k, pivot + 1, right);
else
return sort(nums, k, left, pivot - 1);
}

private int partition(int[] nums, int left, int right) {
int pivot = left;

while (true) {
while (left <= right && nums[left] <= nums[pivot])
left++;

while (left <= right && nums[right] > nums[pivot])
right--;

if (left > right)
break;

swap(nums, left, right);
}

swap(nums, pivot, right);

return right;
}

private void swap(int[] nums, int i, int j) {
int temp = nums[i];
nums[i] = nums[j];
nums[j] = temp;
}