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241. Different Ways to Add Parentheses

时间:2017-03-19 22:25:45      阅读:143      评论:0      收藏:0      [点我收藏+]

标签:push   group   add   example   operator   toc   pos   思想   ret   

Given a string of numbers and operators, return all possible results from computing all the different possible ways to group numbers and operators. The valid operators are +- and *.


Example 1

Input: "2-1-1".

((2-1)-1) = 0
(2-(1-1)) = 2

Output: [0, 2]


Example 2

Input: "2*3-4*5"

(2*(3-(4*5))) = -34
((2*3)-(4*5)) = -14
((2*(3-4))*5) = -10
(2*((3-4)*5)) = -10
(((2*3)-4)*5) = 10

Output: [-34, -14, -10, -10, 10]

解题思路:本题的核心思想是 每个运算符都可能是最后运算的操作符。

class Solution {
public:
    int sum=0;
    int compute(int a,int b,char op){
        if(op==+)return a+b;
        else if(op==-)return a-b;
        else return a*b;
    }
    vector<int> diffWaysToCompute(string input) {
        unordered_map<string,vector<int> >m;
        return computeWithDp(input,m);
    }
    vector<int> computeWithDp(string input,unordered_map<string,vector<int> >&m){
        vector<int>res;
        int size=input.size();
        for(int i=0;i<size;i++){
            if(input[i]==+||input[i]==-||input[i]==*){
                string str=input.substr(0,i);
                vector<int> l,r;
                if(m.count(str))return m[str];
                else l=diffWaysToCompute(str);
                str=input.substr(i+1);
                if(m.count(str))return m[str];
                else r=diffWaysToCompute(str);
                for(auto x: l)
                    for(auto y:r)
                        res.push_back(compute(x,y,input[i]));
            }
        }
        if(res.empty())
            res.push_back(stoi(input));
        return res;
    }
};

 

241. Different Ways to Add Parentheses

标签:push   group   add   example   operator   toc   pos   思想   ret   

原文地址:http://www.cnblogs.com/tsunami-lj/p/6580942.html

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