编写一个程序解决选择问题。令k=N/2,。画出表格显示程序对于N种不同的值的运行时间。
* 1.审题：从N个数集合中，找出第K大的数的运行时间 N分别取值100000 200000 30000 400000
例如：{4,2,6,7} 找出第k大的数 k=N/2=2 第2大数就是 6
2.解题思路：
1}：数组a大小为N，填充随机数
2） 临时数组b大小为K，取数组a前k个数，去进行降序排列
3） 往后的数，跟第k个数c比较，小，舍弃，大，重新排序，去掉第K个数c
4） 计算耗时
/** * @description: 编写一个程序解决选择问题。令k=N/2,。画出表格显示程序对于N种不同的值的运行时间。 * 1.审题：从N个数集合中，找出第K大的数的运行时间 N分别取值100000 200000 30000 400000 例如：{4,2,6,7} 找出第k大的数 k=N/2=2 第2大数就是 6 2.解题思路： 1}：数组a大小为N，填充随机数 2） 临时数组b大小为K，取数组a前k个数，去进行降序排列 3） 往后的数，跟第k个数c比较，小，舍弃，大，重新排序，去掉第K个数c 4） 计算耗时 * @return: void * @author: mufeng * @time: 2020/4/21 21:40 */ @Test public void test1(){ int N=10000; int[] a=creatArray(N); System.out.println(Arrays.toString(a)); int kMax = getKMax(a, N/2); System.out.println(kMax); } public int[] creatArray(int N){ int[] a=new int[N]; for(int i=0;i<N;i++){ a[i]=new Random().nextInt(100); } return a; } public int getKMax(int[] a,int K){ long start=new Date().getTime(); int[] b=new int[K]; int kMax; for(int i=0;i<a.length;i++){ int temp = a[i]; if(i == 0){//模仿插入排序，保证其中新数组中必定含有1个元素 b[i] = temp; continue; } if(i<K){ b[i]=temp; //插入排序 for(int j=i-1;j>=0&&b[j+1]>b[j];j--){ int tmp=b[j]; b[j]=b[j+1]; b[j+1]=tmp; } }else{ //如果往后的数大于第K个数，则与第K个数互换，再进行排序（倒序）；小于等于，则跳过。 if(temp>b[K-1]){ b[K-1]=temp; for(int j=K-1;j>0&&b[j]>b[j-1];j--){ int tmp=b[j-1]; b[j-1]=b[j]; b[j]=tmp; } }else{ continue; } } } long end = new Date().getTime(); System.out.println("运行时间："+(end-start)+"ms"); System.out.println(Arrays.toString(b)); return b[K-1]; }
运行结果：
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49, 49, 49, 49, 49, 49, 49, 49, 49] 49
表格：
| N | 运行时间（ms） |
| 10000 | 180 |
| 20000 | 534 |
| 30000 | 1048 |
| 40000 | 1766 |