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.

Java:

public int calculate(String s) {
int md=-1; // 0 is m, 1 is d
int sign=1; // 1 is +, -1 is -
int prev=0;
int result=0; for(int i=0; i<s.length(); i++){
char c = s.charAt(i);
if(Character.isDigit(c)){
int num = c-'0';
while(++i<s.length() && Character.isDigit(s.charAt(i))){
num = num*10+s.charAt(i)-'0';
}
i--; // back to last digit of number if(md==0){
prev = prev * num;
md=-1;
}else if(md==1){
prev = prev / num;
md=-1;
}else{
prev = num;
}
}else if(c=='/'){
md=1;
}else if(c=='*'){
md=0;
}else if(c=='+'){
result = result + sign*prev;
sign=1;
}else if(c=='-'){
result = result + sign*prev;
sign=-1;
}
} result = result + sign*prev;
return result;
}

Python:

class Solution:
# @param {string} s
# @return {integer}
def calculate(self, s):
operands, operators = [], []
operand = ""
for i in reversed(xrange(len(s))):
if s[i].isdigit():
operand += s[i]
if i == 0 or not s[i-1].isdigit():
operands.append(int(operand[::-1]))
operand = ""
elif s[i] == ')' or s[i] == '*' or s[i] == '/':
operators.append(s[i])
elif s[i] == '+' or s[i] == '-':
while operators and \
(operators[-1] == '*' or operators[-1] == '/'):
self.compute(operands, operators)
operators.append(s[i])
elif s[i] == '(':
while operators[-1] != ')':
self.compute(operands, operators)
operators.pop() while operators:
self.compute(operands, operators) return operands[-1] def compute(self, operands, operators):
left, right = operands.pop(), operands.pop()
op = operators.pop()
if op == '+':
operands.append(left + right)
elif op == '-':
operands.append(left - right)
elif op == '*':
operands.append(left * right)
elif op == '/':
operands.append(left / right)

C++:

class Solution {
public:
int calculate(string s) {
int res = 0, d = 0;
char sign = '+';
stack<int> nums;
for (int i = 0; i < s.size(); ++i) {
if (s[i] >= '0') {
d = d * 10 + s[i] - '0';
}
if ((s[i] < '0' && s[i] != ' ') || i == s.size() - 1) {
if (sign == '+') nums.push(d);
if (sign == '-') nums.push(-d);
if (sign == '*' || sign == '/') {
int tmp = sign == '*' ? nums.top() * d : nums.top() / d;
nums.pop();
nums.push(tmp);
}
sign = s[i];
d = 0;
}
}
while (!nums.empty()) {
res += nums.top();
nums.pop();
}
return res;
}
};  

C++:  

class Solution {
public:
int calculate(string s) {
stack<int64_t> operands;
stack<char> operators;
string operand;
for (int i = s.length() - 1; i >= 0; --i) {
if (isdigit(s[i])) {
operand.push_back(s[i]);
if (i == 0 || !isdigit(s[i - 1])) {
reverse(operand.begin(), operand.end());
operands.emplace(stol(operand));
operand.clear();
}
} else if (s[i] == ')' || s[i] == '*' ||
s[i] == '/') {
operators.emplace(s[i]);
} else if (s[i] == '+' || s[i] == '-') {
while (!operators.empty() && (operators.top() == '*' ||
operators.top() == '/')) {
compute(operands, operators);
}
operators.emplace(s[i]);
} else if (s[i] == '(') {
// operators at least one element, i.e. ')'.
while (operators.top() != ')') {
compute(operands, operators);
}
operators.pop();
}
}
while (!operators.empty()) {
compute(operands, operators);
}
return operands.top();
} void compute(stack<int64_t>& operands, stack<char>& operators) {
const int64_t left = operands.top();
operands.pop();
const int64_t right = operands.top();
operands.pop();
const char op = operators.top();
operators.pop();
if (op == '+') {
operands.emplace(left + right);
} else if (op == '-') {
operands.emplace(left - right);
} else if (op == '*') {
operands.emplace(left * right);
} else if (op == '/') {
operands.emplace(left / right);
}
}
};

  

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