from typing import List


class Solution:
    def minimumTotal(self, triangle: List[List[int]]) -> int:
        n = len(triangle)
        if n == 0:
            return 0

        dp = triangle[-1].copy()
        for i in range(n - 2, -1, -1):
            for j in range(0, i + 1):
                dp[j] = triangle[i][j] + min(dp[j], dp[j + 1])
        return dp[0]