ADAJOBS - Ada and Jobs

As you might already know, Ada the Ladybug has a huge TODO-list. Sometimes she inserts a new job into her TODO-list and sometimes she is wondering whether there is a job (in her TODO-list), which she wants to do now. She doesn't require the whole job to be there, perhaps just a part of it.

Can you create a program which would serve her? That means it either inserts a new job into her TODO-list or answers whether there exists a word (in her TODO-list) which is a substring of given word.

Input

The first line of input contains Q, the number of queries.

The next Q lines contains a number 0 ≤ t ≤ 1 and nonempty string s. If t is equal to 0 then it is insertion query, otherwise it is question query. s consists of lowercase characters only.

The sum of lengths of queries of both types doesn't exceed 106 (that means the total sum of lengths of strings will be at most 2*106)

Output

For each query of type 1, print either YES, if there is already a substring in the TODO-list and NO otherwise.

Example Input

12
0 cat
1 dogville
0 dog
1 dogville
1 gooutwithcat
1 gooutwithcrocodile
1 fancyconcatenation
0 crocodile
1 lacoste
1 gooutwithcrocodile
1 catalanreferendum
1 rocodile

Example Output

NO
YES
YES
NO
YES
NO
YES
YES
NO

Added by:Morass
Date:2017-10-10
Time limit:2s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All

hide comments
2021-09-25 09:13:24
Can a string type store a string with a length of 10^6?
2020-07-06 19:19:39
Nice problem! really learned a lot.
2019-08-24 03:51:34
@morass: Im new to aho-corasick, can you take a look to my code and tell why i get WA? 24288131
edit: oh, nevermind, i figured out

Last edit: 2019-08-24 04:48:58
2018-09-02 12:12:06 DOT
Anyone struggling with this, read about Aho-Corasick algorithm. Apparently, this algorithm forms the basis for even linux's grep command.
2018-06-28 14:41:55
@rishabh1322: Good day to you,

Well I agree the "job" is there on multiple places which might lead to confuson. Here we ask whether there is a whole word which is substring of the query.
2018-04-24 11:17:21
0 crocodile
1 gooutwithcrocodile
1 rocodile
can you explain these cases

according to problem rocodile should print "YES"


Last edit: 2018-04-24 11:18:17
2018-03-30 12:25:42
@Tanzir Islam: You were right, than you! I modified the statement!
2018-03-10 16:42:38 Tanzir Islam
@morass Can you please check if this constraint stated in the input section " All newly added jobs will be distinct." correct? I got a WA because of this issue and fixed it. Then I submitted a code which checks if the same string has been given as job before and asserts false in that case. The code gets RTE. So I think there are strings in your input file which are not distinct and given as jobs.
2018-02-18 12:33:25
@amanvirat: Good day to you. Well sadly it isn't near required complexity. The part where you are printing is at least O(multiplocation of lengths of patterns and texts) :'(
2018-02-16 19:25:19
@morass can you tell why this 21179409 give TLE.

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