def search(limit):
    maxi = [0, 0, 0]
    for x in range(1, limit + 1):
        num = 1
        for y in range(limit):
            num *= x
            s = sum(map(lambda x: int(x), str(num)))
            if s > maxi[0]:
                maxi = [s, x, y + 1]
    return maxi

print(search(100))