Minimum Path Sum @ LeetCode (Python)
kitt
posted @ 2014年3月13日 01:30
in LeetCode
, 2197 阅读
动态规划, 这道题和Unique Paths II如出一辙。
class Solution:
# @param grid, a list of lists of integers
# @return an integer
def minPathSum(self, grid):
rows = len(grid)
cols = len(grid[0])
# initialization
dp = [[0 for j in xrange(cols)] for i in xrange(rows)]
dp[0][0] = grid[0][0]
for i in xrange(1, cols):
dp[0][i] = dp[0][i - 1] + grid[0][i]
for i in xrange(1, rows):
dp[i][0] = dp[i - 1][0] + grid[i][0]
# dynamic programming
for i in xrange(1, rows):
for j in xrange(1, cols):
dp[i][j] = min(dp[i - 1][j], dp[i][j - 1]) + grid[i][j]
return dp[rows - 1][cols - 1]
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