• Difficulty: Easy

Problem

You are given an array A of strings.

Two strings S and T are special-equivalent if after any number of moves, S == T.

A move consists of choosing two indices i and j with i % 2 == j % 2, and swapping S[i] with S[j].

Now, a group of special-equivalent strings from A is a non-empty subset S of A such that any string not in S is not special-equivalent with any string in S.

Return the number of groups of special-equivalent strings from A.

Example 1:

Input: ["a", "b", "c", "a", "c", "c"]
Output: 3
Explanation: 3 groups ["a", "a"], ["b"], ["c", "c", "c"]

Example 2:

Input: ["aa", "bb", "ab", "ba"]
Output: 4
Explanation: 4 groups ["aa"], ["bb"], ["ab"], ["ba"]

Example 3:

Input: ["abc", "acb", "bac", "bca", "cab", "cba"]
Output: 3
Explanation: 3 groups ["abc", "cba"], ["abc", "bca"], ["bac", "cab"]

Example 4:

Input: ["abcd", "cdab", "adcb", "cbad"]
Output: 1
Explanation: 3 groups ["abcd", "cdab", "adcb", "cbad"]

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.

Related Topics

String

Solution

统计每个字符串奇数位和偶数位上的字频,当两个字符串以此法统计的字频分布相同时,称这两个字符串为 special-equivalent。我的代码写得似乎麻烦了点,以后补充更简便的写法。

class CharCounter
{
private SortedDictionary<char, int> counter; public CharCounter(string str)
{
counter = new SortedDictionary<char, int>();
bool isOdd = false; foreach(char c in str)
{
if(isOdd)
{
if (counter.ContainsKey(char.ToUpper(c)))
++counter[char.ToUpper(c)];
else
counter.Add(char.ToUpper(c), 1);
}
else
{
if (counter.ContainsKey(c))
++counter[c];
else
counter.Add(c, 1);
}
isOdd = !isOdd;
}
} public override string ToString()
{
StringBuilder builder = new StringBuilder("{");
foreach(var pair in counter)
{
builder.Append($"'{pair.Key}':{pair.Value},");
}
builder.Remove(builder.Length - 1, 1);
builder.Append("}");
return builder.ToString();
} public override bool Equals(object obj)
{
return ToString() == obj.ToString();
} public override int GetHashCode()
{
return ToString().GetHashCode();
}
} public class Solution
{
public int NumSpecialEquivGroups(string[] A)
{
return (from str in A select new CharCounter(str)).ToHashSet().Count;
}
}

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