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737. Sentence Similarity II

Description

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 true if sentence1 and sentence2 are similar, or false if 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".

 

Constraints:

  • 1 <= sentence1.length, sentence2.length <= 1000
  • 1 <= sentence1[i].length, sentence2[i].length <= 20
  • 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.

Solutions

  • class Solution {
        private int[] p;
    
        public boolean areSentencesSimilarTwo(
            String[] sentence1, String[] sentence2, List<List<String>> similarPairs) {
            if (sentence1.length != sentence2.length) {
                return false;
            }
            int n = similarPairs.size();
            p = new int[n << 1];
            for (int i = 0; i < p.length; ++i) {
                p[i] = i;
            }
            Map<String, Integer> words = new HashMap<>();
            int idx = 0;
            for (List<String> e : similarPairs) {
                String a = e.get(0), b = e.get(1);
                if (!words.containsKey(a)) {
                    words.put(a, idx++);
                }
                if (!words.containsKey(b)) {
                    words.put(b, idx++);
                }
                p[find(words.get(a))] = find(words.get(b));
            }
            for (int i = 0; i < sentence1.length; ++i) {
                if (Objects.equals(sentence1[i], sentence2[i])) {
                    continue;
                }
                if (!words.containsKey(sentence1[i]) || !words.containsKey(sentence2[i])
                    || find(words.get(sentence1[i])) != find(words.get(sentence2[i]))) {
                    return false;
                }
            }
            return true;
        }
    
        private int find(int x) {
            if (p[x] != x) {
                p[x] = find(p[x]);
            }
            return p[x];
        }
    }
    
  • class Solution {
    public:
        vector<int> p;
        bool areSentencesSimilarTwo(vector<string>& sentence1, vector<string>& sentence2, vector<vector<string>>& similarPairs) {
            if (sentence1.size() != sentence2.size())
                return false;
            int n = similarPairs.size();
            p.resize(n << 1);
            for (int i = 0; i < p.size(); ++i)
                p[i] = i;
            unordered_map<string, int> words;
            int idx = 0;
            for (auto e : similarPairs) {
                string a = e[0], b = e[1];
                if (!words.count(a))
                    words[a] = idx++;
                if (!words.count(b))
                    words[b] = idx++;
                p[find(words[a])] = find(words[b]);
            }
            for (int i = 0; i < sentence1.size(); ++i) {
                if (sentence1[i] == sentence2[i])
                    continue;
                if (!words.count(sentence1[i]) || !words.count(sentence2[i]) || find(words[sentence1[i]]) != find(words[sentence2[i]]))
                    return false;
            }
            return true;
        }
    
        int find(int x) {
            if (p[x] != x)
                p[x] = find(p[x]);
            return p[x];
        }
    };
    
  • class Solution:
        def areSentencesSimilarTwo(
            self, sentence1: List[str], sentence2: List[str], similarPairs: List[List[str]]
        ) -> bool:
            if len(sentence1) != len(sentence2):
                return False
            n = len(similarPairs)
            p = list(range(n << 1))
    
            def find(x):
                if p[x] != x:
                    p[x] = find(p[x])
                return p[x]
    
            words = {}
            idx = 0
            for a, b in similarPairs:
                if a not in words:
                    words[a] = idx
                    idx += 1
                if b not in words:
                    words[b] = idx
                    idx += 1
                p[find(words[a])] = find(words[b])
    
            for i in range(len(sentence1)):
                if sentence1[i] == sentence2[i]:
                    continue
                if (
                    sentence1[i] not in words
                    or sentence2[i] not in words
                    or find(words[sentence1[i]]) != find(words[sentence2[i]])
                ):
                    return False
            return True
    
    
  • var p []int
    
    func areSentencesSimilarTwo(sentence1 []string, sentence2 []string, similarPairs [][]string) bool {
    	if len(sentence1) != len(sentence2) {
    		return false
    	}
    	n := len(similarPairs)
    	p = make([]int, (n<<1)+10)
    	for i := 0; i < len(p); i++ {
    		p[i] = i
    	}
    	words := make(map[string]int)
    	idx := 1
    	for _, e := range similarPairs {
    		a, b := e[0], e[1]
    		if words[a] == 0 {
    			words[a] = idx
    			idx++
    		}
    		if words[b] == 0 {
    			words[b] = idx
    			idx++
    		}
    		p[find(words[a])] = find(words[b])
    	}
    	for i := 0; i < len(sentence1); i++ {
    		if sentence1[i] == sentence2[i] {
    			continue
    		}
    		if words[sentence1[i]] == 0 || words[sentence2[i]] == 0 || find(words[sentence1[i]]) != find(words[sentence2[i]]) {
    			return false
    		}
    	}
    	return true
    }
    
    func find(x int) int {
    	if p[x] != x {
    		p[x] = find(p[x])
    	}
    	return p[x]
    }
    

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