class Solution {
public:
int maxValue(vector<vector<int> >& grid) {
int m = grid.size();
int n = grid[0].size();
//第一列只能来自上方
for (int i = 1; i < m; i++)
grid[i][0] += grid[i - 1][0];
//第一行只能来自左边
for (int i = 1; i < n; i++)
grid[0][i] += grid[0][i - 1];
//遍历后续每一个位置
for (int i = 1; i < m; i++)
for (int j = 1; j < n; j++)
//增加来自左边的与上边的之间的较大值
grid[i][j] += max(grid[i - 1][j], grid[i][j - 1]);
return grid[m - 1][n - 1];
}
};



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