http://godoorsun.gicp.net
http://zjutoj.nat123.cc/
http://godoorsun.org/course/
myteacher'acm
by tomato_rain
my favoriate teacher:孙国道、陈铁明
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中缀表达式
栈的规则是先进后出。利用压栈的**来计算四则运算表达式是这样的:我们给定两个栈,一个用来存放数字、一个用来存放对应的操作符。假定我们有一个给定的四则运算表达式a+b+c/d*(e+f)-da,那我们先把这个表达式拆分成一个个的数字或者是运算符、或者就是括号了。然后我们从左至右遍历每一个元素,遍历过程中遵循步骤和原则如下:
(1)遇到数字则直接压到数字栈顶。
(2)遇到运算符(+-/)时,若操作符栈为空,则直接放到操作符栈顶,否则,见(3)。
(3)若操作符栈顶元素的优先级比当前运算符的优先级小,则直接压入栈顶,否则执行步骤(4)。
(4)弹出数字栈顶的两个数字并弹出操作符栈顶的运算符进行运算,把运算结果压入数字栈顶,重复(2)和(3)直到当前运算符被压入操作符栈顶。
(5)遇到左括号“(”时则直接压入操作符栈顶。
(6)遇到右括号“)”时则依次弹出操作符栈顶的运算符运算数字栈的最顶上两个数字,直到弹出的操作符为左括号。
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