使用动态规划解决该问题

import java.util.*;

public class AscentSequence {
    public int findLongest(int[] A, int n) {
        // write code here
        if(n == 0) return 0;

        int[] dp = new int[n];

        for(int i = 0; i < n; i++) {
            dp[i] = 1;
            for(int j = 0; j < i; j++) {
                if(A[i] > A[j]) {
                    dp[i] = Math.max(dp[i], dp[j] + 1);
                }
            }
        }

        int maxLen = 0;
        for(int i = 0; i < n;) {
            maxLen = Math.max(maxLen, dp[i++]);
        } 

        return maxLen;
    }
}