技術標籤：acm零基礎學資料結構leetcode動態規劃演算法字串

最長上升子序列(longest-increasing-subsequence)

題解
程式碼一

class Solution {
    public int lengthOfLIS(int[] nums) {
        if (nums.length == 0) {
            return 0;
        }
        int[] dp = new int[nums.length];
        dp[0] = 1;
        int maxans = 1;
        for
 
 (int i = 1; i < nums.length; i++) {
            dp[i] = 1;
            for (int j = 0; j < i; j++) {
                if (nums[i] > nums[j]) {
                    dp[i] = Math.max(dp[i], dp[j] + 1);
                }
            }
            maxans = Math.max(maxans, dp[i]);
        }
        return
 
 maxans;
    }
}

程式碼二

import java.util.Arrays;

public class Solution {

    public int lengthOfLIS(int[] nums) {
        int len = nums.length;
        if (len < 2) {
            return len;
        }

        int[] dp = new int[len];
        Arrays.fill(dp, 1);

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

        int res = 0;
        for (int i = 0; i < len; i++) {
            res = Math.max(res, dp[i]);
        }
        return res;
    }
}