269. alien dictionary

https://leetcode.com/problems/alien-dictionary/

1.words数组转换成图
2.对图进行拓扑排序
注意：
所有元素都要加到邻接表中；
入度不要重复统计；
拓扑排序可以非递归或者dfs；

非递归：

class Solution {
public:
    string alienOrder(vector& words) {
        unordered_map > g;
        unordered_map incount;
        
        string res;
        //init
        for(int i = 0; i < words.size(); i++) {
            for(int j = 0; j < words[i].size(); j++) {
                g.insert(make_pair(words[i][j],unordered_set()));
                incount.insert(make_pair(words[i][j],0));
            }
        }
        
        //process words
        for(int i = 1; i < words.size(); i++) {
            int minlen = min(words[i-1].size(), words[i].size());
            for(int j = 0; j < minlen; j++) {
                if(words[i-1][j] != words[i][j]) {
                    if(g[words[i-1][j]].find(words[i][j]) == g[words[i-1][j]].end()) {
                        g[words[i-1][j]].insert(words[i][j]);
                        incount[words[i][j]]++;
                    }
                    break;
                }               
            }
        }
        
        //topology
        int count = incount.size();
        while(count--) {
            bool found = false;
            for(auto &i : incount) {
                if(i.second == 0) {
                    i.second = -1;
                    found = true;
                    res += i.first;
                    for(auto &j : g[i.first]) {
                        incount[j]--;
                    }
                    break;
                } 
            }
            if(found == false) { //cycle
                return "";
            }
        }
        return res;
    }
};

dfs:
rec用来判断是否有环；
visited用来记录是否访问过；
dfs的结果是逆序的拓扑；

class Solution {
    bool dfs (char c, unordered_map > &g, unordered_set &visited, unordered_set     &rec, string &res) {
        if(visited.find(c) != visited.end()) return true;
        if(rec.find(c) != rec.end()) return false;
        rec.insert(c);
        for(auto &i:g[c]) {
            if(!dfs(i,g,visited,rec,res))
                return false;
        }
        rec.erase(c);
        visited.insert(c);
        res += c;
        return true;
    }
    string topo(unordered_map > &g){
        string res;
        unordered_set visited;
        unordered_set rec;
        for(auto &i:g) {
            if(!dfs(i.first, g,visited,rec,res)) 
                return "";
        }
        reverse(res.begin(),res.end());
        return res;
    }
public:
    string alienOrder(vector& words) {
        unordered_map > g;
        unordered_map incount;
        
        string res;
        //init
        for(int i = 0; i < words.size(); i++) {
            for(int j = 0; j < words[i].size(); j++) {
                g.insert(make_pair(words[i][j],unordered_set()));
                incount.insert(make_pair(words[i][j],0));
            }
        }
        
        //process words
        for(int i = 1; i < words.size(); i++) {
            int minlen = min(words[i-1].size(), words[i].size());
            for(int j = 0; j < minlen; j++) {
                if(words[i-1][j] != words[i][j]) {
                    if(g[words[i-1][j]].find(words[i][j]) == g[words[i-1][j]].end()) {
                        g[words[i-1][j]].insert(words[i][j]);
                        incount[words[i][j]]++;
                    }
                    break;
                }               
            }
        }
        return topo(g);
    }
};