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逆波兰式:Reverse Polish notation,RPN,,也叫后缀表达式,将运算符写在操作数之后
数据结构:两个栈S1和S2。S1临时存储运算符,S2存储最终结果。
算法:
(1)若取出的字符是操作数,则分析出完整的运算数,该操作数直接送入S2栈
(2)若取出的字符是运算符,则将该运算符与S1栈栈顶元素比较,如果该运算符优先级大于S1栈栈顶运算符优先级,则将该运算符进S1栈,否则,将S1栈的栈顶运算符弹出,送入S2栈中,直至S1栈栈顶运算符低于(不包括等于)该运算符优先级,则将该运算符送入S1栈。
(3)若取出的字符是“(”,则直接送入S1栈栈顶。
(4)若取出的字符是“)”,则将距离S1栈栈顶最近的“(”之间的运算符,逐个出栈,依次送入S2栈,此时抛弃“(”。
(5)重复上面的1~4步,直至处理完所有的输入字符
(6)最后将S1栈内所有运算符,逐个出栈,依次送入S2栈。
class Solution { public: string ReversePolishNotation(string exp) { //假设操作数都是单个数字 map< char, int > opPriority; opPriority[‘+‘] = 1; opPriority[‘-‘] = 1; opPriority[‘*‘] = 2; opPriority[‘/‘] = 2; opPriority[‘(‘] = 0; stack rpnStack; stack tmpStack; for(int i = 0; i < exp.size(); i++){ if(exp[i] <= ‘9‘ && exp[i] >= ‘0‘) rpnStack.push(exp[i]); else if(exp[i]==‘)‘){ while(tmpStack.top()!=‘(‘){ rpnStack.push(tmpStack.top()); tmpStack.pop(); } tmpStack.pop(); } else if(exp[i]==‘(‘ || tmpStack.empty()) tmpStack.push(exp[i]); else{ while(!tmpStack.empty() && opPriority[tmpStack.top()] > opPriority[exp[i]]) { rpnStack.push(tmpStack.top()); tmpStack.pop(); } tmpStack.push(exp[i]); } } while(!tmpStack.empty() ){ rpnStack.push(tmpStack.top()); tmpStack.pop(); } string ret = ""; while(!rpnStack.empty() ){ ret = rpnStack.top() + ret; rpnStack.pop(); } return ret; } };
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原文地址:http://www.cnblogs.com/qionglouyuyu/p/4850785.html