class Solution:
def maxValue(self, grid: List[List[int]]) -> int:
m = len(grid)
n = len(grid[0])
dp = [[0]*(n) for _ in range(m)]
for i in range(m):
for j in range(n):
if i==0 and j==0:
dp[i][j] = grid[0][0]
elif i == 0:
dp[i][j] = dp[i][j-1]+grid[i][j]
elif j == 0:
dp[i][j] = dp[i-1][j]+grid[i][j]
else:
dp[i][j] = max(dp[i-1][j],dp[i][j-1])+grid[i][j]
return dp[m-1][n-1]