面试题47. 礼物的最大价值

小鱼儿 2023-02-17 15:57 4阅读 0赞

# 题目： #

[面试题47. 礼物的最大价值][47.]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70]

# 题解： #

![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 1]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 2]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 3]  
![在这里插入图片描述][watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 4]  
![在这里插入图片描述][2020061423282335.png]

# 代码： #

/** * 面试题47 */
    public class 面试题47 { 
    
        public static int maxValue(int[][] grid) { 
            int m = grid.length; // m行
            int n = grid[0].length; // n列
            int dp[][] = new int[m][n];
            dp[0][0] = grid[0][0];
    
            for(int i = 1; i < m; i++) // 初始化第一列
            { 
                dp[i][0] = dp[i - 1][0] + grid[i][0];
            }
            for(int j = 1; j < n; j++) // 初始化第一行
            { 
                dp[0][j] = dp[0][j - 1] + grid[0][j];
            }
            for(int i = 1; i < m; i++)
            { 
                for(int j = 1; j < n; j++)
                { 
                    dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]) + grid[i][j];
                }
            }
            return dp[m - 1][n - 1];
        }
    
        public static void main(String[] args) { 
            int grid[][] = {  {  1, 3, 1 }, {  1, 5, 1 }, {  4, 2, 1 }, };
            int res = maxValue(grid);
            System.out.println(res);
        }
    }

# 参考： #

1.  [面试题47. 礼物的最大价值（动态规划，清晰图解）][47. 1]

[47.]: https://leetcode-cn.com/problems/li-wu-de-zui-da-jie-zhi-lcof/
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70]: https://img-blog.csdnimg.cn/202006142325177.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ==,size_16,color_FFFFFF,t_70
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 1]: https://img-blog.csdnimg.cn/20200614232559880.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ==,size_16,color_FFFFFF,t_70
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 2]: https://img-blog.csdnimg.cn/20200614232609627.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ==,size_16,color_FFFFFF,t_70
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 3]: https://img-blog.csdnimg.cn/20200614232641159.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ==,size_16,color_FFFFFF,t_70
[watermark_type_ZmFuZ3poZW5naGVpdGk_shadow_10_text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ_size_16_color_FFFFFF_t_70 4]: https://img-blog.csdnimg.cn/20200614232730223.png?x-oss-process=image/watermark,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3p5eF9seQ==,size_16,color_FFFFFF,t_70
[2020061423282335.png]: https://img-blog.csdnimg.cn/2020061423282335.png
[47. 1]: https://leetcode-cn.com/problems/li-wu-de-zui-da-jie-zhi-lcof/solution/mian-shi-ti-47-li-wu-de-zui-da-jie-zhi-dong-tai-gu/