Lintcode: Kth Largest Element 解题报告
Kth Largest Element
Find K-th largest element in an array.
You can swap elements in the array
In array [9,3,2,4,8], the 3th largest element is 4
O(n) time, O(1) space
原题链接:
http://www.lintcode.com/en/problem/kth-largest-element/
SOLUTION 1:
使用改进的Quicksort partition,可以达到O(n)的时间复杂度,并且不需要额外空间。
请参考: http://en.wikipedia.org/wiki/Quickselect#Time_complexity
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" alt="" width="306" height="209" />
时间复杂度:如果我们是这样的数组:1,2,3,4,5,然后又每一次取左边的当pivot,就会达到最坏的时间复杂度。也就是O(N2)
我们也有一些解决方法:
以下来自维基,我们可以取3个数进行平均。
http://stackoverflow.com/questions/7559608/median-of-three-values-strategy
The easiest solution is to choose a random pivot, which yields almost certain linear time. Deterministically, one can use median-of-3 pivot strategy (as in the quicksort), which yields linear performance on partially sorted data, as is common in the real world. However, contrived sequences can still cause worst-case complexity; David Musser describes a "median-of-3 killer" sequence that allows an attack against that strategy, which was one motivation for his introselect algorithm.
package Algorithms.algorithm.NChapter.findKthNumber; import java.util.ArrayList; // The link: // http://www.lintcode.com/en/problem/kth-largest-element/ class KthLargestElement_lintCode {
//param k : description of k
//param numbers : array of numbers
//return: description of return
public int kthLargestElement(int k, ArrayList<Integer> numbers) {
// write your code here
if (k < || numbers == null) {
return ;
} return getKth(numbers.size() - k + , numbers, , numbers.size() - );
} public int getKth(int k, ArrayList<Integer> numbers, int start, int end) {
// Choose the last one as the pivot
int pivot = numbers.get(end); int left = start;
int right = end; while (true) {
while (numbers.get(left) < pivot && left < right) {
left++;
} while (numbers.get(right) >= pivot && right > left) {
right--;
} if (left == right) {
break;
} swap(numbers, left, right);
} // left: the first one which is bigger than pivot.
swap(numbers, left, end); if (k == left + ) {
return pivot;
// Try to find the element from the left side.
} else if (k < left + ) {
return getKth(k, numbers, start, left - );
} else {
// Try to find the element from the right side.
return getKth(k, numbers, left + , end);
}
} /*
Swap the two nodes.
*/
public void swap(ArrayList<Integer> numbers, int n1, int n2) {
int tmp = numbers.get(n1);
numbers.set(n1, numbers.get(n2));
numbers.set(n2, tmp);
}
};
SOLUTION 2:
以下这些链接有详细的讨论,就不再一一叙述了。目前来讲Solution 1应该是最优的啦。
http://www.geeksforgeeks.org/k-largestor-smallest-elements-in-an-array/
http://www.quora.com/What-is-the-most-efficient-algorithm-to-find-the-kth-smallest-element-in-an-array-having-n-elements
GITHUB:
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