267. Palindrome Permutation II

 

Given a string s, return all the palindromic permutations (without duplicates) of it. Return an empty list if no palindromic permutation could be form.

For example:

Given s = "aabb", return ["abba", "baab"].

Given s = "abc", return [].

 

 

public IList<string> GeneratePalindromes(string s) {
        List<string> result = new List<string>();
        Dictionary<char, int> hashtable = new Dictionary<char, int>();
        char[] cha = s.ToCharArray();
        foreach(char a in cha)
        {
            if(hashtable.ContainsKey(a))
            {
                int temp = (int)hashtable[a];
                temp++;
                hashtable[a] = temp;
            }
            else
            {
                hashtable.Add(a,1);
            }
        }
        string middle = "";
        char sentinel = '1';
        int su = 0;
        foreach(char key in hashtable.Keys)
        {
            if(((int)hashtable[key])%2 == 1)
            {
                su++;
                middle += key;
                sentinel = key;
            }
        }
        if (su > 1) return result;
        if (su == 1) 
        {
            int temp = (int)hashtable[sentinel];
            temp--;
            if (temp == 0) hashtable.Remove(sentinel);
            else
            hashtable[sentinel] = temp;
        }
        GenerateNext(hashtable,result, new List<char>(),middle);
        return result;
    }
    
    private void GenerateNext(Dictionary<char, int> hashtable ,List<string> result ,List<char> cur, string middle)
    {
        if(hashtable.Count == 0) result.Add(new string(cur.ToArray())+middle + Reverse(new string(cur.ToArray())));
        
        else
        {
            var tempHash = new Dictionary<char,int>(hashtable);
            foreach(char key in tempHash.Keys)
            {
                var hashtable1 = new Dictionary<char,int>(hashtable);
                if((int)hashtable1[key] >= 2)
                {
                    int temp = (int)hashtable1[key];

                    temp -=2;
                         if(temp == 0) hashtable1.Remove(key);
                         else     hashtable1[key] = temp;
                    
                    
                    cur.Add(key); 
                    GenerateNext(hashtable1,result,cur,middle);
                    cur.RemoveAt(cur.Count()-1);
                    
                }
               
            }
        }
    }
    public int HashtableFirstVal(Dictionary<char, int> hashtable)
    {
        int sum = 0;
        foreach(int a in hashtable.Values)
        {
            sum += a;
        }
        return sum;
    }
    public char HashtableFirstKey(Dictionary<char, int> hashtable)
    {
        char sum = '1';
        foreach(char a in hashtable.Keys)
        {
           sum =  a;
        }
        return sum;
    }
    
    public string Reverse( string s )
    {
    char[] charArray = s.ToCharArray();
    Array.Reverse( charArray );
    return new string( charArray );
    }

或者用Backtracking

public IList<string> GeneratePalindromes(string s) {
        var res = new List<string>();
        if(s == null) return res;
        var hashtable = new Dictionary<char,int>();
        for(int i =0;i< s.Length;i++)
        {
            if(hashtable.ContainsKey(s[i])) hashtable[s[i]]++;
            else hashtable.Add(s[i],1);
        }
        int oddCount=0;
        var oddGroup = new Dictionary<char,int>();
        var evenGroup = new Dictionary<char,int>();
        foreach( var h in hashtable)
        {
            if(h.Value %2 == 0) evenGroup.Add(h.Key,h.Value);
            else 
            {
                oddGroup.Add(h.Key,h.Value);
                oddCount++;
            }
        }
         if(oddCount > 1) return res;
         Backtracking("",res,oddGroup,evenGroup);
         return res;
        
    }
    
    private void Backtracking(string cur, List<string> res, Dictionary<char,int> odd,Dictionary<char,int> even)
    {
        if(odd.Count()== 0 && even.Count()==0) {res.Add(cur+ Reverse(cur)); return;}
        else if(even.Count()==0 && odd.Count()==1)
        {
           
            foreach( var o in odd)
            {
                if(o.Value==1)
                {res.Add(cur + o.Key +  Reverse(cur)); return;}
            }
        }
            if(even.Count() != 0)
            {
                var tempEven = new Dictionary<char,int>(even);
                foreach(var e in even)
                {
                if(e.Value > 0)
                {
                    
                    tempEven[e.Key] -=2;
                    if(tempEven[e.Key]==0)
                    {
                    tempEven.Remove(e.Key);
                    Backtracking(cur+e.Key,res,odd,tempEven);
                    tempEven.Add(e.Key,0);
                    }
                    else
                    {
                       Backtracking(cur+e.Key,res,odd,tempEven); 
                    }
                    
                    tempEven[e.Key] +=2;
                }
                
                }
            }
            var tempOdd = new Dictionary<char,int>(odd);
            foreach(var o in odd)
            {
                if(o.Value > 2)
                {
                    //cur =cur + e.Key;
                    tempOdd[o.Key] -=2;
                    Backtracking(cur+o.Key,res,tempOdd,even);
                    tempOdd[o.Key] +=2;
                }
            }
        
    }
    
    private string Reverse(string s)
    {
        if(s == null) return s;
        var c = s.ToCharArray();
         Array.Reverse(c);
         return new string(c);
        
    }