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Evaluate Reverse Polish Notation

Evaluate the value of an arithmetic expression in Reverse Polish Notation.

Valid operators are +, -, *, /. Each operand may be an integer or another expression.

Some examples:

  ["2", "1", "+", "3", "*"] -> ((2 + 1) * 3) -> 9
  ["4", "13", "5", "/", "+"] -> (4 + (13 / 5)) -> 6

思路:根据逆波兰表示法的特点,可以使用栈来求解本题,依次遍历输入tokens的每一个元素,

        若当前元素为数字,则将其入栈;否则,当前元素表示运算操作,弹出栈顶元素和次栈顶元素,即可获得该运算的左右操作数,将运算结果入栈;重复上述操作。

        返回栈顶元素。

 1 int evalRPN( vector<string> &tokens ) { 2     if( tokens.empty() ) { return 0; } 3     stack<int> numStack; 4     for( size_t i = 0; i != tokens.size(); ++i ) { 5         if( tokens[i] == "+" ) { 6             int tmp = numStack.top(); numStack.pop(); 7             numStack.top() += tmp; 8         } else if( tokens[i] == "-" ) { 9             int tmp = numStack.top(); numStack.pop();10             numStack.top() -= tmp;11         } else if( tokens[i] == "*" ) {12             int tmp = numStack.top(); numStack.pop();13             numStack.top() *= tmp;14         } else if( tokens[i] == "/" ) {15             int tmp = numStack.top(); numStack.pop();16             assert( tmp != 0 );17             numStack.top() /= tmp;18         } else {19             numStack.push( atoi( tokens[i].c_str() ) );20         }21     }22     return numStack.top();23 }