Description

You are given two string arrays words1 and words2.

A string b is a subset of string a if every letter in b occurs in a including multiplicity.

For example, “wrr” is a subset of “warrior” but is not a subset of “world”.
A string a from words1 is universal if for every string b in words2, b is a subset of a.

Return an array of all the universal strings in words1. You may return the answer in any order.

Example 1:

Input: words1 = ["amazon","apple","facebook","google","leetcode"], words2 = ["e","o"]
Output: ["facebook","google","leetcode"]

Example 2:

Input: words1 = ["amazon","apple","facebook","google","leetcode"], words2 = ["l","e"]
Output: ["apple","google","leetcode"]

Constraints:

1 <= words1.length, words2.length <= 10^4
1 <= words1[i].length, words2[i].length <= 10
words1[i] and words2[i] consist only of lowercase English letters.
All the strings of words1 are unique.

Solution

A little bit tricky and one take-away is: if the total time complexity is around $10^8$, don’t try it, it will be TLE.

The core idea is, we build a hashmap of words2, and iterate all the strings in words1 to decide if we want to select it. The tricky part is how we build the hash map.
Because oo won’t be a subset of aeiou, but ['ao', 'eo'] would be a subset of aeiou, so to build the hash map, we just need to store the maximum frequency of the string in words2.

Time complexity: $o(words2.len+words1.len)$
Space complexity: $o(1)$

Code

word">class Solution:word">def wordSubsets(self, words1: List[str], words2: List[str]) -> List[str]:words2_fre = [0] * 26word">for each_word word">in words2:ch_cnt = collections.Counter(each_word)word">for each_ch, each_cnt word">in ch_cnt.items():ch_index = ord(each_ch) - ord('a')words2_fre[ch_index] = max(words2_fre[ch_index], each_cnt)res = []word">for each_word word">in words1:ch_cnt = collections.Counter(each_word)is_candidate = Trueword">for i word">in range(26):word">if ch_cnt.get(chr(i + ord('a')), 0) < words2_fre[i]:is_candidate = Falseword">breakword">if is_candidate:res.append(each_word)word">return res