import java.util.Arrays;
import java.util.Random;

public class LIS {

  public static void main(String[] args){
    System.out.println("generating a random array...");
    LIS lis=new LIS();
    int[] oldArray=lis.randomArray();
    for (int i = 0; i < oldArray.length; i++) {
      System.out.print(oldArray[i]+" ");
    }

    System.out.println();
    System.out.println("最長遞增子序列的長度為");
    lis.lisGet(oldArray);

  }

  public int[] randomArray(){
    Random random=new Random();
    int[] randomArray=new int[10];
    for (int i = 0; i < 10; i++) {
      randomArray[i]=random.nextInt(10);
    }
    return randomArray;
  }

  public void lisGet(int[] arrayL ){

    int[] lisLength=new int[arrayL.length];//用于記錄當前個元素作為最大元素的最長遞增序列的長度

    for (int i = 0; i < arrayL.length; i++) { //初始化
      lisLength[i]=1;
    }

    int max=1;

    for (int i = 1; i < arrayL.length; i++) {
      for (int j = 0; j <i; j++) {

        if (arrayL[j]<arrayL[i]&&(lisLength[j]+1)>lisLength[i]) {          
          lisLength[i]=lisLength[j]+1;
        }

        if (max<lisLength[i]) { //得到當前最長遞增序列的長度以及該子序列的最末元素的位置
          max=lisLength[i];
        }      
      }

    }

    System.out.println(max);

    System.out.println("第i個元素結尾時最長遞增子序列："+Arrays.toString(lisLength)); //輸出數組
  }

}