
LeetCode 64: Minimum Path Sum
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.
https://leetcode.com/problems/minimum-path-sum/description/
class Solution:
def minPathSum(self, grid):
"""
:type grid: List[List[int]]
:rtype: int
"""
# DP
R = len(grid)
C = len(grid[0])
arr = [[None]*C for _ in range(R)]
arr[0][0] = grid[0][0]
for i in range(1, R):
arr[i][0] = arr[i-1][0] + grid[i][0]
for j in range(1, C):
arr[0][j] = arr[0][j-1] + grid[0][j]
for i in range(1, R):
for j in range(1, C):
# 或从上或从左, 找小的
arr[i][j] = min(arr[i-1][j], arr[i][j-1]) + grid[i][j]
return arr[-1][-1]




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