from functools import cache
#
# 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 , tri: List[List[int]]) -> int:
        # write code here
        r = len(tri)

        @cache
        def dfs(i,j):
            if i==r-1:
                return tri[i][j]

            return min(dfs(i+1,j),dfs(i+1,j+1)) + tri[i][j]
        
        return dfs(0,0)