codeforces#P552E. Vanya and Brackets
Vanya and Brackets
Description
Vanya is doing his maths homework. He has an expression of form 
, where x1, x2, ..., xn 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.
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.
In the first line print the maximum possible value of an 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.
Samples
3+5*7+8*4
303
2+3*5
25
3*4*5
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).