2380: Vanya and Brackets
Time Limit: 2 Sec Memory Limit: 256 MBSubmit: 0 Solved: 0
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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.
3+5*7+8*4
303
2+3*5
25
3*4*5
60
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).