leetcode-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.

For example,
Given [3,2,1,5,6,4] and k = 2, return 5.

Note: 
You may assume k is always valid, 1 ≤ k ≤ array's length.

Credits:
Special thanks to @mithmatt for adding this problem and creating all test cases.

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class Solution {
public:
    int findKthLargest(vector<int>& nums, int k) {
       return findKth(num, nums.begin(), nums.end(), k-1);
    }
    int findKth(vector<int> num, int begin, int end, int k);
};

int Solution::findKth(vector<int> num, int begin, int end, int k)
{
    int first = num[begin], i=begin, j=end;
    while(i<j)
    {   
        while(i<j&&num[i]<first)
        {
            i++;
        }
        while(i<j&num[j]>first)
        {
            j--;    
        }
        swap(num[i], num[j]);
    }
    if(i==k)
    {
        return num[i];
    }
    else if(i<k)
    {
        findKth(num, begin, i-1);
    }
    else
    {
        findKth(num, i+1, end);
    }
}


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