动态规划

#
# 代码中的类名、方法名、参数名已经指定,请勿修改,直接返回方法规定的值即可
#
# 
# @param triangle int整型二维数组 
# @return int整型
#
class Solution:
    def minTrace(self , triangle: List[List[int]]) -> int:
        # write code here
        dp = []
        for i in range(len(triangle)):
            dp.append([0 for _ in range(len(triangle[i]))])
        dp[0][0] = triangle[0][0]
        for i in range(1, len(triangle)):
            for j in range(len(triangle[i])):
                if j == 0:
                    dp[i][j] = dp[i - 1][j] + triangle[i][j]
                elif j == len(triangle[i]) - 1:
                    dp[i][j] = dp[i - 1][j - 1] + triangle[i][j]
                else:
                    dp[i][j] = min(dp[i - 1][j - 1], dp[i - 1][j]) + triangle[i][j]
        return min(dp[-1])