找出由n个数组成的序列的最长单调递增子序列

找出由n个数组成的序列的最长单调递增子序列（O(n2)时间的算法）

public class LongestIncreasingIubsequence {
     
	public static void main(String[] args) {
     
		Scanner input = new Scanner(System.in);

		int max = 0, count = 1;
		System.out.println("Please enter the sequence length:");
		int n = input.nextInt();
		int[] a = new int[n];
		int b, c = 0;

		System.out.println("Please enter a number sequence:");
		for (int i = 0; i < a.length; i++) {
     
			a[i] = input.nextInt();// 给数组赋值
		}

		// Successive连续子序列
		for (int i = 0; i < n; i++) {
     
			b = a[i];
			for (int j = i + 1; j < n; j++) {
     
				if (b < a[j]) {
     
					b = a[j];
					count++;
				} else
					break;
			}
			if (max < count) {
     
				max = count;
				c = i;
			}
			count = 1;
		}
		System.out.println("Successive Result（连续子序列）:");
		System.out.print("    ");
		System.out.print(a[c] + " ");
		b = a[c];
		for (int i = c + 1; i < n; i++) {
     
			if (b < a[i]) {
     
				b = a[i];
				System.out.print(b + " ");
			} else
				break;
		}
		System.out.println();

		// Discontinuous非连续子序列
		for (int i = 0; i < n; i++) {
     
			b = a[i];
			for (int j = i + 1; j < n; j++) {
     
				if (b < a[j]) {
     
					b = a[j];
					count++;
				}
			}
			if (max < count) {
     
				max = count;
				c = i;
			}
			count = 1;
		}
		System.out.println("Discontinuous Result（非连续子序列）:");
		System.out.print("    ");
		System.out.print(a[c] + " ");
		b = a[c];
		for (int i = c + 1; i < n; i++) {
     
			if (b < a[i]) {
     
				b = a[i];
				System.out.print(b + " ");
			}
		}

	}

}

执行结果

Please enter the sequence length:
9
Please enter a number sequence:
2 5 6 -7 -8 3 4 5 6
Successive Result（连续子序列）:
    -8 3 4 5 6 
Discontinuous Result（非连续子序列）:
    -8 3 4 5 6