### minCostSetTime 
import math
from math import inf
from typing import *
def f_gold(startAt: int, moveCost: int, pushCost: int, targetSeconds: int
) -> int:
    def f(m, s):
        if not 0 <= m < 100 or not 0 <= s < 100:
            return inf
        arr = [m // 10, m % 10, s // 10, s % 10]
        i = 0
        while i < 4 and arr[i] == 0:
            i += 1
        t = 0
        prev = startAt
        for v in arr[i:]:
            if v != prev:
                t += moveCost
            t += pushCost
            prev = v
        return t
    m, s = divmod(targetSeconds, 60)
    ans = min(f(m, s), f(m - 1, s + 60))
    return ans