package com.sinaWeibo.interview; import java.util.Comparator;
import java.util.Iterator;
import java.util.TreeSet; /**
* @Author: weblee
* @Email: likaiweb@163.com
* @Blog: http://www.cnblogs.com/lkzf/
* @Time: 2014年10月25日下午5:22:58
*
************* function description *************** m个长度为n的ordered array,求top
* k 个 数字 *
****************************************************
*/ public class Top1000From2000Arrays {
/*
* 从m个数组中各取一个数,并记录每个数的来源数组,建立一个含k个元素的大根堆。
* 此时堆顶就是最大的数,取出堆顶元素,并从堆顶元素的来源数组中取下一个数加入堆,再取最大值,一直这样进行k次即可。
* 时间复杂度:k*log2(20)
*/
public static int[] maxK(final int k, int[][] arrays) {
int count = 0;
Node max = null;
int[] result = new int[k]; TreeSet<Node> set = new TreeSet<Node>(new NodeComparator()); set.add(new Node(arrays[0][0], 0, 0)); for (int i = 0; i < arrays.length; i++) {
if (set.first().value < arrays[i][arrays[i].length - 1]) {
set.add(new Node(arrays[i][arrays[i].length - 1], i,
arrays[i].length - 1)); if (set.size() > k) { max = set.first();
result[count++] = max.value;
set.remove(set.first());
set.add(new Node(arrays[max.originX][max.originY - 1], max.originX,
max.originY - 1)); // testing
Iterator<Node> iter = set.iterator();
while (iter.hasNext()) {
System.out.print(iter.next().value + "\t");
}
System.out.println();
// testing
}
}
} while (true) {
max = set.first();
result[count++] = max.value; if (count == k) {
break;
} set.remove(set.first());
set.add(new Node(arrays[max.originX][max.originY - 1], max.originX,
max.originY - 1)); // testing
Iterator<Node> iter = set.iterator();
while (iter.hasNext()) {
System.out.print(iter.next().value + "\t");
}
System.out.println();
// testing
} return result;
} public static void main(String[] args) {
int[][] arrays = { { 4, 5, 6, 12 }, { 1, 2, 3, 45 }, { 3, 4, 5, 89 },
{ 101, 102, 103, 189 },{ 11, 12, 13, 289 } }; int[] result = maxK(4, arrays); for (int num : result) {
System.out.print(num + "\t");
}
} } class Node {
int value;
int originX;
int originY; public Node(int value, int originX, int originY) {
this.value = value;
this.originX = originX;
this.originY = originY;
}
} class NodeComparator implements Comparator<Node> { @Override
public int compare(Node o1, Node o2) {
// TODO Auto-generated method stub
return -(o1.value - o2.value);
} }