B - Expression

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

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

Output

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

Examples

Input

1
2
3

Output

9

Input

2
10
3

Output

60
解题思路:给定a,b,c,其顺序不能改变,向其中插入'+'或'*'或括号,则共有6种运算表达式,要求输出其中运算结果的最大值,简单枚举一下即可,水过。
AC代码:
 1 #include<bits/stdc++.h>
 2 using namespace std;
 3 int main(){
 4     int a,b,c,k=0,s[10];
 5     cin>>a>>b>>c;
 6     s[k++]=a+b+c;s[k++]=a*b*c;
 7     s[k++]=a+b*c;s[k++]=a*b+c;
 8     s[k++]=(a+b)*c;s[k++]=a*(b+c);
 9     sort(s,s+k);cout<<s[k-1]<<endl;
10     return 0;
11 }

posted @ 2018-06-06 20:33  霜雪千年  阅读(239)  评论(0编辑  收藏  举报