No tag edit access

E. Vanya and Brackets

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVanya is doing his maths homework. He has an expression of form , where *x*_{1}, *x*_{2}, ..., *x*_{n} are digits from 1 to 9, and sign represents either a plus '+' or the multiplication sign '*'. Vanya needs to add one pair of brackets in this expression so that to maximize the value of the resulting expression.

Input

The first line contains expression *s* (1 ≤ |*s*| ≤ 5001, |*s*| is odd), its odd positions only contain digits from 1 to 9, and even positions only contain signs + and * .

The number of signs * doesn't exceed 15.

Output

In the first line print the maximum possible value of an expression.

Examples

Input

3+5*7+8*4

Output

303

Input

2+3*5

Output

25

Input

3*4*5

Output

60

Note

Note to the first sample test. 3 + 5 * (7 + 8) * 4 = 303.

Note to the second sample test. (2 + 3) * 5 = 25.

Note to the third sample test. (3 * 4) * 5 = 60 (also many other variants are valid, for instance, (3) * 4 * 5 = 60).

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/18/2017 23:18:07 (c4).

Desktop version, switch to mobile version.

User lists

Name |
---|