Petya studies in a school and he adores Maths. His class has been studying arithmetic expressions. On the last class the teacher wrote three positive integers $*a*$, $*b*$, $*c*$ on the blackboard. The task was to insert signs of operations '+' and '*', and probably brackets between the numbers so that the value of the resulting expression is as large as possible. Let's consider an example: assume that the teacher wrote numbers 1, 2 and 3 on the blackboard. Here are some ways of placing signs and brackets:

• 1+2*3=7
• 1*(2+3)=5
• 123=6
• (1+2)*3=9

Note that you can insert operation signs only between $*a*$ and $*b*$, and between $*b*$ and $*c*$, that is, you cannot swap integers. For instance, in the given sample you cannot get expression (1+3)*2.

It's easy to see that the maximum value that you can obtain is 9.

Your task is: given $*a*$, $*b*$ and $*c*$ print the maximum value that you can get.

Input

The input contains three integers $*a*$, $*b*$ and $*c*$, each on a single line ($1 ≤ *a*, *b*, *c* ≤ 10$).

Output

Print the maximum value of the expression that you can obtain.