We can represent a sentence as an array of words, for example, the sentence "I am happy with leetcode" can be represented as arr = ["I","am",happy","with","leetcode"].
Given two sentences sentence1 and sentence2 each represented as a string array and given an array of string pairs similarPairs where similarPairs[i] = [xi, yi] indicates that the two words xi and yi are similar.
Return trueif sentence1 and sentence2 are similar, orfalseif they are not similar.
Two sentences are similar if:
They have the same length (i.e., the same number of words)
sentence1[i] and sentence2[i] are similar.
Notice that a word is always similar to itself, also notice that the similarity relation is transitive. For example, if the words a and b are similar, and the words b and c are similar, then a and c are similar.
Example 1:
**Input:** sentence1 = ["great","acting","skills"], sentence2 = ["fine","drama","talent"], similarPairs = [["great","good"],["fine","good"],["drama","acting"],["skills","talent"]]
**Output:** true
**Explanation:** The two sentences have the same length and each word i of sentence1 is also similar to the corresponding word in sentence2.
Example 2:
**Input:** sentence1 = ["I","love","leetcode"], sentence2 = ["I","love","onepiece"], similarPairs = [["manga","onepiece"],["platform","anime"],["leetcode","platform"],["anime","manga"]]
**Output:** true
**Explanation:** "leetcode" --> "platform" --> "anime" --> "manga" --> "onepiece".
Since "leetcode is similar to "onepiece" and the first two words are the same, the two sentences are similar.
Example 3:
**Input:** sentence1 = ["I","love","leetcode"], sentence2 = ["I","love","onepiece"], similarPairs = [["manga","hunterXhunter"],["platform","anime"],["leetcode","platform"],["anime","manga"]]
**Output:** false
**Explanation:** "leetcode" is not similar to "onepiece".
sentence1[i] and sentence2[i] consist of lower-case and upper-case English letters.
0 <= similarPairs.length <= 2000
similarPairs[i].length == 2
1 <= xi.length, yi.length <= 20
xi and yi consist of English letters.
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class Solution {
public boolean areSentencesSimilarTwo(String[] words1, String[] words2, String[][] pairs) {
// corner cases
if (words1.length != words2.length) return false;
// build union find
UnionFind uf = new UnionFind();
for (String[] p : pairs) {
uf.connect(p[0], p[1]);
}
// check sentence
for (int i = 0; i < words1.length; i++) {
if (words1[i].equals(words2[i])) continue; // equal, skip
if (!uf.fathers.containsKey(words1[i]) || !uf.fathers.containsKey(words2[i])) return false; // one of them not in map
if ( !uf.find(words1[i]).equals(uf.find(words2[i]))) return false; // not in the same group
}
return true;
}
}
class UnionFind {
Map<String, String> fathers = new HashMap<>();
void connect(String s1, String s2) {
fathers.putIfAbsent(s1, s1);
fathers.putIfAbsent(s2, s2);
String f1 = find(s1);
String f2 = find(s2);
if (!f1.equals(f2)) fathers.put(f1, f2);
}
String find(String s) {
if (!fathers.get(s).equals(s)) {
fathers.put(s, find(fathers.get(s)));
}
return fathers.get(s);
}
}
/*
String version UnionFind. careful nullpointer exception when word not in map.
*/