You are given an array of strings of the same length words
.
In one move, you can swap any two even indexed characters or any two odd indexed characters of a string words[i]
.
Two strings words[i]
and words[j]
are special-equivalent if after any number of moves, words[i] == words[j]
.
- For example,
words[i] = "zzxy"
andwords[j] = "xyzz"
are special-equivalent because we may make the moves"zzxy" -> "xzzy" -> "xyzz"
.
A group of special-equivalent strings from words
is a non-empty subset of words such that:
- Every pair of strings in the group are special equivalent, and
- The group is the largest size possible (i.e., there is not a string
words[i]
not in the group such thatwords[i]
is special-equivalent to every string in the group).
Return the number of groups of special-equivalent strings from words
.
Example 1:
Input: words = ["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 is 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: words = ["abc","acb","bac","bca","cab","cba"] Output: 3
Constraints:
1 <= words.length <= 1000
1 <= words[i].length <= 20
words[i]
consist of lowercase English letters.- All the strings are of the same length.
class Solution:
def numSpecialEquivGroups(self, words: List[str]) -> int:
s = {''.join(sorted(word[::2]) + sorted(word[1::2])) for word in words}
return len(s)
class Solution {
public int numSpecialEquivGroups(String[] words) {
Set<String> s = new HashSet<>();
for (String word : words) {
s.add(convert(word));
}
return s.size();
}
private String convert(String word) {
List<Character> a = new ArrayList<>();
List<Character> b = new ArrayList<>();
for (int i = 0; i < word.length(); ++i) {
char ch = word.charAt(i);
if (i % 2 == 0) {
a.add(ch);
} else {
b.add(ch);
}
}
Collections.sort(a);
Collections.sort(b);
StringBuilder sb = new StringBuilder();
for (char c : a) {
sb.append(c);
}
for (char c : b) {
sb.append(c);
}
return sb.toString();
}
}
class Solution {
public:
int numSpecialEquivGroups(vector<string>& words) {
unordered_set<string> s;
for (auto& word : words) {
string a = "", b = "";
for (int i = 0; i < word.size(); ++i) {
if (i & 1)
a += word[i];
else
b += word[i];
}
sort(a.begin(), a.end());
sort(b.begin(), b.end());
s.insert(a + b);
}
return s.size();
}
};
func numSpecialEquivGroups(words []string) int {
s := map[string]bool{}
for _, word := range words {
a, b := []rune{}, []rune{}
for i, c := range word {
if i&1 == 1 {
a = append(a, c)
} else {
b = append(b, c)
}
}
sort.Slice(a, func(i, j int) bool {
return a[i] < a[j]
})
sort.Slice(b, func(i, j int) bool {
return b[i] < b[j]
})
s[string(a)+string(b)] = true
}
return len(s)
}