You are given an array A of strings.
A move onto S consists of swapping any two even indexed characters of S, or any two odd indexed characters of S.
Two strings S and T are special-equivalent if after any number of moves onto S, S == T.
For example, S = "zzxy" and T = "xyzz" are special-equivalent because we may make the moves "zzxy" -> "xzzy" -> "xyzz" that swap S[0] and S[2], then S[1] and S[3].
Now, a group of special-equivalent strings from A is a non-empty subset of A such that:
Every pair of strings in the group are special equivalent, and;
The group is the largest size possible (ie., there isn't a string S not in the group such that S is special equivalent to every string in the group)
Return the number of groups of special-equivalent strings from A.
Example 1:
Input: ["abcd","cdab","cbad","xyzz","zzxy","zzyx"]
Output: 3
Explanation:
One group is ["abcd", "cdab", "cbad"], since they are all pairwise special equivalent, and none of the other strings are all pairwise special equivalent to these.
The other two groups are ["xyzz", "zzxy"] and ["zzyx"]. Note that in particular, "zzxy" is not special equivalent to "zzyx".
Example 2:
Input: ["abc","acb","bac","bca","cab","cba"]
Output: 3
Note:
1 <= A.length <= 1000
1 <= A[i].length <= 20
All A[i] have the same length.
All A[i] consist of only lowercase letters.
Solution:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace LeetCode.AskGif.Easy.String
{
class NumSpecialEquivGroupsSoln
{
public void execute()
{
var input1 = new string[]{"abcd", "cdab", "cbad", "xyzz", "zzxy", "zzyx"};
var res = NumSpecialEquivGroups(input1);
}
public int NumSpecialEquivGroups(string[] A)
{
var set = new HashSet<string>();
for (int i = 0; i < A.Length; i++)
{
var even = new StringBuilder();
var odd = new StringBuilder();
for (int j = 0; j < A[i].Length; j++)
{
if (j % 2 == 0)
even.Append(A[i][j]);
else
odd.Append(A[i][j]);
}
var evenStr = string.Concat(even.ToString().OrderBy(c => c));
var oddStr = string.Concat(odd.ToString().OrderBy(c => c));
set.Add(evenStr + oddStr);
}
return set.Count;
}
}
}



