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| 1 | +# 916. Word Subsets |
| 2 | + |
| 3 | +**<font color=red>难度: Medium</font>** |
| 4 | + |
| 5 | +## 刷题内容 |
| 6 | + |
| 7 | +> 原题连接 |
| 8 | +
|
| 9 | +* https://leetcode.com/contest/weekly-contest-104/problems/word-subsets/ |
| 10 | + |
| 11 | +> 内容描述 |
| 12 | +
|
| 13 | +``` |
| 14 | +We are given two arrays A and B of words. Each word is a string of lowercase letters. |
| 15 | +
|
| 16 | +Now, say that word b is a subset of word 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". |
| 17 | +
|
| 18 | +Now say a word a from A is universal if for every b in B, b is a subset of a. |
| 19 | +
|
| 20 | +Return a list of all universal words in A. You can return the words in any order. |
| 21 | +
|
| 22 | + |
| 23 | +
|
| 24 | +Example 1: |
| 25 | +
|
| 26 | +Input: A = ["amazon","apple","facebook","google","leetcode"], B = ["e","o"] |
| 27 | +Output: ["facebook","google","leetcode"] |
| 28 | +Example 2: |
| 29 | +
|
| 30 | +Input: A = ["amazon","apple","facebook","google","leetcode"], B = ["l","e"] |
| 31 | +Output: ["apple","google","leetcode"] |
| 32 | +Example 3: |
| 33 | +
|
| 34 | +Input: A = ["amazon","apple","facebook","google","leetcode"], B = ["e","oo"] |
| 35 | +Output: ["facebook","google"] |
| 36 | +Example 4: |
| 37 | +
|
| 38 | +Input: A = ["amazon","apple","facebook","google","leetcode"], B = ["lo","eo"] |
| 39 | +Output: ["google","leetcode"] |
| 40 | +Example 5: |
| 41 | +
|
| 42 | +Input: A = ["amazon","apple","facebook","google","leetcode"], B = ["ec","oc","ceo"] |
| 43 | +Output: ["facebook","leetcode"] |
| 44 | + |
| 45 | +
|
| 46 | +Note: |
| 47 | +
|
| 48 | +1 <= A.length, B.length <= 10000 |
| 49 | +1 <= A[i].length, B[i].length <= 10 |
| 50 | +A[i] and B[i] consist only of lowercase letters. |
| 51 | +All words in A[i] are unique: there isn't i != j with A[i] == A[j]. |
| 52 | +``` |
| 53 | + |
| 54 | +## 解题方案 |
| 55 | + |
| 56 | +> 思路 1 |
| 57 | +******- 时间复杂度: O(max(ma*la, mb*lb))******- 空间复杂度: O(1)****** |
| 58 | + |
| 59 | + |
| 60 | +假设A的长度为na,其中最长的一个单词长度为la |
| 61 | +B的长度为nb,其中最长的一个单词长度为lb |
| 62 | + |
| 63 | +那么时间复杂度为O(max(ma*la, mb*lb)),由于字符总共就26个,所以空间复杂度可以看作O(1) |
| 64 | + |
| 65 | + |
| 66 | +先求出B中所有字符在所有单词中出现的最大次数,用lookup记录,然后如果A中的某一个单词满足lookup里面所有的key都有,且对应数量都大于等于lookup中的, |
| 67 | +那么该单词满足条件,append到最终结果中 |
| 68 | + |
| 69 | +```python |
| 70 | +class Solution(object): |
| 71 | + def wordSubsets(self, A, B): |
| 72 | + """ |
| 73 | + :type A: List[str] |
| 74 | + :type B: List[str] |
| 75 | + :rtype: List[str] |
| 76 | + """ |
| 77 | + if not B or len(B) == 0: |
| 78 | + return A |
| 79 | + lookup = collections.Counter(B[0]) |
| 80 | + for word in B[1:]: |
| 81 | + tmp = collections.Counter(word) |
| 82 | + for key in tmp.keys(): |
| 83 | + if key not in lookup: |
| 84 | + lookup[key] = tmp[key] |
| 85 | + else: |
| 86 | + lookup[key] = max(lookup[key], tmp[key]) |
| 87 | + def uni(tmp_a, tmp_b): |
| 88 | + if len(tmp_a.keys()) < len(tmp_b.keys()): |
| 89 | + return False |
| 90 | + for key in tmp_b.keys(): |
| 91 | + if key not in tmp_a: |
| 92 | + return False |
| 93 | + else: |
| 94 | + if tmp_a[key] < tmp_b[key]: |
| 95 | + return False |
| 96 | + return True |
| 97 | + res = [] |
| 98 | + for word in A: |
| 99 | + if uni(collections.Counter(word), lookup): |
| 100 | + res.append(word) |
| 101 | + return res |
| 102 | +``` |
| 103 | + |
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