Given a m x n grid filled with non-negative numbers, find a path from top left to bottom right which minimizes the sum of all numbers along its path.
Note: You can only move either down or right at any point in time.
Solution:
class Solution:
# @param grid, a list of lists of integers
# @return an integer
def minPathSum(self, grid):
if len(grid)==0 or len(grid[0])==0:
return 0
for row in range(0, len(grid)):
for col in range(0, len(grid[0])):
if row>0 and col>0:
grid[row][col] += min(grid[row-1][col],grid[row][col-1])
elif row>0:
grid[row][col] += grid[row-1][col]
elif col>0:
grid[row][col] += grid[row][col-1]
return grid[len(grid)-1][len(grid[0])-1]
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