Expression
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 202 Accepted Submission(s): 61
Problem Description
As a shopkeeper of a restaurant,everyday ,dandelion's mother needs to calculate the incomes.Sometimes,she may make some mistakes.So dandelion wants you to write a program to help her calculate the value of some expressions. You may consider every expression is made of :left parenthesis '(' ,right parenthesis ')' , plus sign '+' , subtraction sign '-' , multiplication sign '*' ,positive sign '+' ,and negative sign '-'.There is no precursor 0.The length of expression will not exceed 100.The value produced during the calculating will not exceed 10^9.Every expression is legal.Ie. ((10+(-100))) ,-(-1),-3*(+5+7*2)-(0) ,-0 ,(-3)*(-5+7) are legal,while 1+-7 ,--3+8 ,-3+() are illegal.
Input
There are several cases,every line contains a expression.
Output
For every case ,print the answer of the expression.
Sample Input
-3*(+5-7*2)-(0)
Sample Output
27
Author
dandelion
Source
栈的运用 考虑的比较多 使用 STL <stack>
详细的看注释
#include<bits/stdc++.h>
using namespace std;
char a[105];
stack<char> m;//运算符栈
stack<int> n;//操作室栈
map<char,int> mp;
//40 (
//41 )
//42 *
//43 +
//45 -
int main()
{
mp['-']=1;
mp['+']=1;
mp['*']=2;
mp['(']=-1;
mp[')']=-1;
memset(a,0,sizeof(a));
while(gets(a))
{
while(!m.empty())
m.pop();
while(!n.empty())
n.pop();
n.push(0);//考虑初始有符号 放在栈底
int len=strlen(a);
int exm=0;
int xx,yy;
char what;
for(int i=0; i<len; i++)
{
if(a[i]>=48&&a[i]<=57)
exm=exm*10+a[i]-'0';
else
{
if(a[i]=='(')// 前括号处理 添0 处理紧邻的符号
{
m.push(a[i]);
n.push(0);
continue;
}
if(m.empty())//若运算符栈为空
{
m.push(a[i]);
continue;
}
else
{
if(mp[a[i]]>mp[m.top()]) //优先级大于栈顶运算符
m.push(a[i]);
else
{//直到优先级大于栈顶 或 栈空 或栈顶为后括号(这个没有验证)
while(!m.empty()&&mp[a[i]]<=mp[m.top()]&&m.top()!='(')// 这里理解
{
xx=n.top();
n.pop();
yy=n.top();
n.pop();
what=m.top();
m.pop();
if(mp[what]==1)
{
if(what=='+')
n.push(yy+xx);
if(what=='-')
n.push(yy-xx);
}
if(mp[what]==2)
n.push(yy*xx);
}
if(!m.empty()&&m.top()=='('&&a[i]==')') //当前后括号相遇pop
m.pop();
else //否则插入
m.push(a[i]);
}
continue;
}
}
if(i>=1)//处理前括号后若无符号
{
if(a[i-1]=='(')
n.pop();
}
if(mp[a[i+1]]!=0)//判断exm 积累结束
{
n.push(exm);
exm=0;
}
if(i==len-1&&a[i]!=')')//考虑最后一个操作数
n.push(exm);
}
while(!m.empty())//直到 运算符栈空
{
xx=n.top();
n.pop();
yy=n.top();
n.pop();
what=m.top();
m.pop();
if(mp[what]==1)
{
if(what=='+')
n.push(yy+xx);
if(what=='-')
n.push(yy-xx);
}
if(mp[what]==2)
n.push(yy*xx);
}
printf("%d
",n.top());//输出栈顶值
memset(a,0,sizeof(a));
}
return 0;
}