1041: XX's easy problem
Time Limit: 1 Sec
Memory Limit: 128 MB
Submit: 41
Solved: 7
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Description
XX is a good student who likes to ask questions.But sometimes when you get the problem, you are not willing to answer his question bucause the problem is too easy.For example，He'll ask how much a + b is equal to, or how much a + b is equal to,etc.
Today he just got a new problem，so he asks you for help：He has an expression of form x1 op x2 op x3.....xn，and op is just '+' or '*'，xi(1 <= i <= n) a digits between 1 and 9。However, this problem is not so easy, you need to add one pair of brackets in this expression so that to maximize the value of the resulting expression.
Input
The first line contains expression，x1 op x2 op x3.....xn（1 <= n <= 50），op is '+' or '*'.The answer maxmized dosen't exceed 2^63-1.
Output
In the first line print the maximum possible value of an expression.
Sample Input
1+2*3
2*2*2
Sample Output
9
8
哎西每次可以AC的时候先给我的CE真是醉了，HUST这个OJ真是有毒，字符串长度的unsigned和普通int都要分那么清楚。这题怎么说呢，做了我一个晚上+半个晚上（估计是我思路不太好，只能向麻烦的做法靠近）...试了各种方法，最后特判+巨烦的多次string重定向终于过了。恭喜下自己终于上60题，可以够到大神远远跑在前面留下的灰尘了....做法嘛没什么好说的，毫无算法，枚举所有括号的位置，然后按照括号和加法乘法优先级进行模拟运算再取max。
代码：
#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<sstream>
#include<cstring>
#include<cstdio>
#include<string>
#include<deque>
#include<cmath>
#include<queue>
#include<set>
#include<map>
using namespace std;
typedef long long LL;
string s;
inline LL fx(string s)//识别优先级的计算函数
{
LL i,cheng,tans;
for (i=0; i<(LL)s.size(); i++)
{
if(s[i]=='+')
s[i]=' ';
}
istringstream sin(s);
string temp;
LL t,sum=0;
while (sin>>temp)
{
for (i=0; i<(LL)temp.size(); i++)
{
if(temp[i]=='*')
temp[i]=' ';
}
istringstream ssin(temp);
tans=1;
while (ssin>>cheng)
{
tans=tans*cheng;
}
sum=sum+tans;
}
return sum;
}
inline string change(string s)//去括号并将括号内的数据进行计算并代回去
{
LL ans,len=(LL)s.size(),i,j,l=-1,r=-1;
string temp;
for (i=0; i<len; i++)
{
if(s[i]=='(')
{
l=i;
for (j=len-1; j>=i; j--)
{
if(s[j]==')')
{
r=j;
break;
}
}
break;
}
}
ans=fx(s.substr(l+1,r-l-1));
stringstream in;
in<<ans;
in>>temp;
s.replace(l,r-l+1,temp);
return s;
}
int main (void)
{
ios::sync_with_stdio(false);
LL i,j;
LL maxx,t;
string t1,t2,t3,t4;
while (getline(cin,s))
{
if(s.size()==1)
{
cout<<s<<endl;
continue;
}
LL len=s.size();
maxx=-9999999;
for (i=0; i+2<len; i+=2)//枚举所有括号位置（括号内至少两个数）
{
for (j=i+2; j<len; j+=2)
{
t3=s;
t1=s.substr(i,j-i+1);
t2=t3.erase(i,j-i+1);
t2.insert(i,'('+t1+')');
t4=change(t2);
t=fx(t4);
if(t>maxx)
{
maxx=t;
}
}
}
cout<<maxx<<endl;
}
return 0;
}
