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
- 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 a, b and c print the maximum value that you can get.
The input contains three integers a, b and c, each on a single line (1 ≤ a, b, c ≤ 10).
Print the maximum value of the expression that you can obtain.
1 2 3
9
2 10 3
60
给出a,b,c,可以用+,*,和括号,求出所有的组合中值最大的。
直接暴力枚举6种组合就行了。
代码:
#include <iostream> #include <cstdio> #include <algorithm> using namespace std; int main() { int a,b,c; scanf("%d%d%d",&a,&b,&c); int ans=0; ans=max(ans,a+b*c); ans=max(ans,a*(b+c)); ans=max(ans,a*b*c); ans=max(ans,(a+b)*c); ans=max(ans,a+b+c); ans=max(ans,a+b*c); printf("%d\n",ans); return 0; }