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]andsentence2[i]are similar.
Notice that a word is always similar to itself, also notice that the similarity relation is not transitive. For example, if the words a and b are similar, and the words b and c are similar, a and c are not necessarily similar.
Example 1:
Input: sentence1 = ["great","acting","skills"], sentence2 = ["fine","drama","talent"], similarPairs = [["great","fine"],["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 = ["great"], sentence2 = ["great"], similarPairs = [] Output: true Explanation: A word is similar to itself.
Example 3:
Input: sentence1 = ["great"], sentence2 = ["doubleplus","good"], similarPairs = [["great","doubleplus"]] Output: false Explanation: As they don't have the same length, we return false.
Constraints:
1 <= sentence1.length, sentence2.length <= 10001 <= sentence1[i].length, sentence2[i].length <= 20sentence1[i]andsentence2[i]consist of English letters.0 <= similarPairs.length <= 1000similarPairs[i].length == 21 <= xi.length, yi.length <= 20xiandyiconsist of lower-case and upper-case English letters.- All the pairs
(xi, yi)are distinct.
Solutions
Solution 1: Hash Table
First, we check if the lengths of sentence1 and sentence2 are equal. If they are not equal, return false.
Then we use a hash table s to store all similar word pairs. For each word pair [x, y] in similarPairs, we add x and y to the hash table s.
Next, we traverse sentence1 and sentence2. For each position i, if sentence1[i] is not equal to sentence2[i], and (sentence1[i], sentence2[i]) and (sentence2[i], sentence1[i]) are not in the hash table s, then return false.
If the traversal ends without returning false, it means sentence1 and sentence2 are similar, so return true.
The time complexity is O(L), and the space complexity is O(L), where L is the sum of the lengths of all strings in the problem.
class Solution: def areSentencesSimilar( self, sentence1: List[str], sentence2: List[str], similarPairs: List[List[str]] ) -> bool: if len(sentence1) != len(sentence2): return False s = {(x, y) for x, y in similarPairs} for x, y in zip(sentence1, sentence2): if x != y and (x, y) not in s and (y, x) not in s: return False return True(code-box)
