Basic Calculator II
Implement a basic calculator to evaluate a simple expression string.
The expression string contains only non-negative integers, +
, -
, *
, /
operators and empty spaces . The integer division should truncate toward zero.
You may assume that the given expression is always valid.
Some examples:
"3+2*2" = 7
" 3/2 " = 1
" 3+5 / 2 " = 5
Note: Do not use the eval
built-in library function.
Credits:
Special thanks to @ts for adding this problem and creating all test cases.
与Basic Calculator对照,
乘除法优先级高,因此一旦出现就立即计算,
到最后栈中剩下的就是顺序执行的加减计算。
先将栈逆序,再出栈计算。注意,此时的操作数先后顺序反过来。
class Solution {
public:
int calculate(string s) {
stack<int> num;
stack<char> op;
int i = ;
while(i < s.size())
{
while(i < s.size() && s[i] == ' ')
i ++;
if(i == s.size())
break;
if(s[i] == '+' || s[i] == '-' || s[i] == '*' || s[i] == '/')
{
op.push(s[i]);
i ++;
}
else
{
int n = ;
while(i < s.size() && s[i] >= '' && s[i] <= '')
{
n = n * + (s[i]-'');
i ++;
}
num.push(n);
if(!op.empty() && (op.top() == '*' || op.top() == '/'))
{
int n2 = num.top();
num.pop();
int n1 = num.top();
num.pop();
if(op.top() == '*')
num.push(n1 * n2);
else
num.push(n1 / n2);
op.pop();
}
}
}
// '+'/'-' in order
if(!op.empty())
{
// reverse num and op
stack<int> num2;
while(!num.empty())
{
num2.push(num.top());
num.pop();
}
num = num2;
stack<char> op2;
while(!op.empty())
{
op2.push(op.top());
op.pop();
}
op = op2; while(!op.empty())
{
// pay attention to the operands order!
int n1 = num.top();
num.pop();
int n2 = num.top();
num.pop();
if(op.top() == '+')
num.push(n1 + n2);
else
num.push(n1 - n2);
op.pop();
}
}
return num.top();
}
};