Expression

Time Limit: 1000 ms Memory Limit: 65536 KiB

Problem Description

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 abc 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
  • 1*2*3=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 ab and c print the maximum value that you can get.

Input

Multi test cases.

For each test case:

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

Output

For each test case:

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

Sample Input

1
2
3
2
10
3

Sample Output

9
60

Hint

Source

Codeforces 479A