1143_B. Nirvana
Kurt reaches nirvana when he finds the product of all the digits of some positive integer. Greater value of the product makes the nirvana deeper.

Help Kurt find the maximum possible product of digits among all integers from 1 to n.

Input

The only input line contains the integer n (1 ≤ n ≤ 2⋅10^9).

Output

Print the maximum product of digits among all integers from 1 to n.

Examples

Input


390


Output


216


Input


7


Output


7


Input


1000000000


Output


387420489

Note

In the first example the maximum product is achieved for 389 (the product of digits is 3⋅8⋅9=216).

In the second example the maximum product is achieved for 7 (the product of digits is 7).

In the third example the maximum product is achieved for 999999999 (the product of digits is 9^9=387420489).
```python
l = list(int(c) for c in str(int(input())))

def prod(l):
    p = 1
    for d in l:
        p *= max(d, 1)
    return p

m = prod(l)
i = len(l) - 1
while i >= 0:
    while i >= 0 and l[i] == 9:
        i -= 1
    if i < 0:
        break
    l[i] = 9
    while i > 0 and l[i - 1] == 0:
        l[i - 1] = 9
        i -= 1
    i -= 1
    if i < 0:
        break
    l[i] = l[i] - 1
    m = max(m, prod(l))

print(m)

```