M

1531813218

tags: DFS, Union Find, Hash Table

#### Union Find

- TODO

#### Hash Table solution, passed but very slow

- Definitely need iterate over accounts: merge them by email.

- Account object {name, list of email}

- map<email, account>

- 1. iterate over accounts

- 2. find if 'account' exist; if does, add emails

- 3. if not, add account to list and to map. map all emails to accounts.

- output -> all accounts, and sort emails

- space O(mn): m row, n = emails

- time O(mn)

```

/*

Given a list accounts, each element accounts[i] is a list of strings,

where the first element accounts[i][0] is a name,

and the rest of the elements are emails representing emails of the account.

Now, we would like to merge these accounts. Two accounts definitely belong to the same person

if there is some email that is common to both accounts.

Note that even if two accounts have the same name,

they may belong to different people as people could have the same name.

A person can have any number of accounts initially, but all of their accounts definitely have the same name.

After merging the accounts, return the accounts in the following format:

the first element of each account is the name, and the rest of the elements are emails in sorted order.

The accounts themselves can be returned in any order.

Example 1:

Input:

accounts = [["John", "johnsmith@mail.com", "john00@mail.com"], ["John", "johnnybravo@mail.com"], ["John", "johnsmith@mail.com", "john_newyork@mail.com"], ["Mary", "mary@mail.com"]]

Output: [["John", 'john00@mail.com', 'john_newyork@mail.com', 'johnsmith@mail.com'], ["John", "johnnybravo@mail.com"], ["Mary", "mary@mail.com"]]

Explanation:

The first and third John's are the same person as they have the common email "johnsmith@mail.com".

The second John and Mary are different people as none of their email addresses are used by other accounts.

We could return these lists in any order, for example the answer [['Mary', 'mary@mail.com'], ['John', 'johnnybravo@mail.com'],

['John', 'john00@mail.com', 'john_newyork@mail.com', 'johnsmith@mail.com']] would still be accepted.

Note:

The length of accounts will be in the range [1, 1000].

The length of accounts[i] will be in the range [1, 10].

The length of accounts[i][j] will be in the range [1, 30].

*/

// Hash Table

class Solution {

class Account {

String name;

Set<String> emails;

public Account(String name, Set<String> emails) {

this.name = name;

this.emails = emails;

}

}

private boolean validate(List<List<String>> accounts) {

return accounts == null || accounts.size() == 0 || accounts.get(0) == null || accounts.get(0).size() == 0;

}

public List<List<String>> accountsMerge(List<List<String>> accounts) {

List<List<String>> rst = new ArrayList<>();

if (validate(accounts)) return rst;

// map, list, populate

Map<String, Account> map = new HashMap<>();

Set<Account> mergedAccounts = new HashSet<>();

for (List<String> row : accounts) {

Account account = new Account(row.get(0), new HashSet<>());

Set<Account> existingAccounts = new HashSet<>();

for (int i = 1; i < row.size(); i++) {

account.emails.add(row.get(i));

if (map.containsKey(row.get(i))) {

Account existingAccount = map.get(row.get(i));

mergedAccounts.remove(existingAccount);

account.emails.addAll(existingAccount.emails);

}

}

mergedAccounts.add(account);

for (String email: account.emails) {

map.put(email, account);

}

}

// output as needed

for (Account account : mergedAccounts) {

List<String> row = new ArrayList<>();

List<String> emails = new ArrayList<>(account.emails);

Collections.sort(emails);

row.add(account.name);

row.addAll(emails);

rst.add(row);

}

return rst;

}

}

```