package leetcode;

public class offer_47 {
    public int maxValue(int[][] grid) {
        int hight=grid.length;
        int width=grid[0].length;
        int[][] dp=new int[hight][width];
        for(int i=0;i<hight;i++) {
            for(int j=0;j<width;j++) {
                if(i==0&&j==0) {
                    dp[i][j]
 
=grid[0][0];
                    continue;
                }
                if(i==0) {
                    dp[i][j]=dp[i][j-1]+grid[i][j];
                    continue;
                }
                if(j==0) {
                    dp[i][j]=dp[i-1][j]+grid[i][j];
                    continue;
                }
                dp[i][j]
 
=Math.max(dp[i-1][j], dp[i][j-1])+grid[i][j];
            }
        }
        return dp[hight-1][width-1];
    }
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        offer_47 off=new offer_47();
        int[][] grid= {
                {1,3,1},
                {
 
1,5,1},
                {4,2,1}
        };
        System.out.println(off.maxValue(grid));
    }

}