題目描述:
Implement a basic calculator to evaluate a simple expression string.
The expression string may contain open ( and closing parentheses ), the plus + or minus sign -, non-negative integers and empty spaces .
You may assume that the given expression is always valid.
Some examples:
1 + 1 = 2
2-1 + 2 = 3
(1+(4+5+2)-3)+(6+8) = 23
思路:
1. 兩個棧,1個numStack存數(shù)字,1個opStack存(,),+,-
2. 解析數(shù)字過程中,注意數(shù)字可能是多位數(shù)
3. 如果是+,(,或-,直接入棧
4. 如果是),判斷當前opStack最上操作符是否為'(',如果是直接彈出(標記為彈出),如果opStack.Peek()不為'('且opStack中有元素,則進行循環(huán)計算:
4.1 opStack彈出1個,numStack彈出2個,計算結果入numStack
4.2 最后判斷,如果最上層為'('且仍未彈出則彈出這個'('
5.最后需要對余下opStack和numStack中的元素進行計算,結果入numStack(與4.1過程一樣)
最后彈出numStack的結果即可,
LeetCode Basic Caculator
。實現(xiàn)代碼:
public class Solution {public int Calculate(string s) { // two stack var pStack = new Stack<string>(); var numStack = new Stack<int>(); var n = ; // if number , push number stack for(var i = 0;i < s.Length; i++){ if(s[i] == ' '){ continue; } // if (, +,- , push op stack if(s[i] == '(' || s[i] == '+' || s[i] == '-'){ opStack.Push(s[i].ToString()); } // if ). pop op stack, pop 2 from number stack, until reach '(' else if(s[i] == ')'){ var poped = false; if(opStack.Count > 0 && opStack.Peek() == (){ poped = true; opStack.Pop(); } while(opStack.Count > 0 && opStack.Peek() != (){ var n1 = numStack.Pop(); var n2 = numStack.Pop(); var o = opStack.Pop(); numStack.Push(Calc(n1, n2, o)); } if(!poped && opStack.Count > 0 && opStack.Peek() == (){ opStack.Pop(); } } // push num into numStack, try calc until reach '(' else { // parse out number var valid = 0123456789; if(valid.Contains(s[i])){ n += s[i]; if(i == s.Length - 1 || !valid.Contains(s[i+1])){ numStack.Push(int.Parse(n)); n = ; while(opStack.Count > 0 && opStack.Peek() != () { var o = opStack.Pop(); var n1 = numStack.Pop(); var n2 = numStack.Pop(); numStack.Push(Calc(n1,n2,o)); } } } } } // pop the rest ops in opstack and numbers in number stack while(opStack.Count > 0){ var o = opStack.Pop(); if(o != + && o != -){ continue; } var n1 = numStack.Pop(); var n2 = numStack.Pop(); numStack.Push(Calc(n1,n2,o)); } return numStack.Pop();} public int Calc(int n1, int n2, string op){ switch(op) { case + : return n1 + n2; case - : return n2 - n1; default : throw new NotSupportedException(); }}}</int></string>