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B. Nirvana

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputKurt 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 $$$n$$$ ($$$1 \le n \le 2\cdot10^9$$$).

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 $$$3\cdot8\cdot9=216$$$).

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 $$$9^9=387420489$$$).

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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