1152. Analyze User Website Visit Pattern π
Description
You are given two string arrays username
and website
and an integer array timestamp
. All the given arrays are of the same length and the tuple [username[i], website[i], timestamp[i]]
indicates that the user username[i]
visited the website website[i]
at time timestamp[i]
.
A pattern is a list of three websites (not necessarily distinct).
- For example,
["home", "away", "love"]
,["leetcode", "love", "leetcode"]
, and["luffy", "luffy", "luffy"]
are all patterns.
The score of a pattern is the number of users that visited all the websites in the pattern in the same order they appeared in the pattern.
- For example, if the pattern is
["home", "away", "love"]
, the score is the number of usersx
such thatx
visited"home"
then visited"away"
and visited"love"
after that. - Similarly, if the pattern is
["leetcode", "love", "leetcode"]
, the score is the number of usersx
such thatx
visited"leetcode"
then visited"love"
and visited"leetcode"
one more time after that. - Also, if the pattern is
["luffy", "luffy", "luffy"]
, the score is the number of usersx
such thatx
visited"luffy"
three different times at different timestamps.
Return the pattern with the largest score. If there is more than one pattern with the same largest score, return the lexicographically smallest such pattern.
Note that the websites in a pattern do not need to be visited contiguously, they only need to be visited in the order they appeared in the pattern.
Example 1:
Input: username = ["joe","joe","joe","james","james","james","james","mary","mary","mary"], timestamp = [1,2,3,4,5,6,7,8,9,10], website = ["home","about","career","home","cart","maps","home","home","about","career"] Output: ["home","about","career"] Explanation: The tuples in this example are: ["joe","home",1],["joe","about",2],["joe","career",3],["james","home",4],["james","cart",5],["james","maps",6],["james","home",7],["mary","home",8],["mary","about",9], and ["mary","career",10]. The pattern ("home", "about", "career") has score 2 (joe and mary). The pattern ("home", "cart", "maps") has score 1 (james). The pattern ("home", "cart", "home") has score 1 (james). The pattern ("home", "maps", "home") has score 1 (james). The pattern ("cart", "maps", "home") has score 1 (james). The pattern ("home", "home", "home") has score 0 (no user visited home 3 times).
Example 2:
Input: username = ["ua","ua","ua","ub","ub","ub"], timestamp = [1,2,3,4,5,6], website = ["a","b","a","a","b","c"] Output: ["a","b","a"]
Constraints:
3 <= username.length <= 50
1 <= username[i].length <= 10
timestamp.length == username.length
1 <= timestamp[i] <= 109
website.length == username.length
1 <= website[i].length <= 10
username[i]
andwebsite[i]
consist of lowercase English letters.- It is guaranteed that there is at least one user who visited at least three websites.
- All the tuples
[username[i], timestamp[i], website[i]]
are unique.
Solutions
Solution 1: Hash Table + Sorting
First, we use a hash table $d$ to record the websites each user visits. Then we traverse $d$. For each user, we enumerate all the triplets they visited, count the occurrence of distinct triplets, and finally traverse all triplets, returning the one with the highest occurrence and the smallest lexicographic order.
The time complexity is $O(n^3)$, and the space complexity is $O(n^3)$. Here, $n$ is the length of username
.
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