SUBLEX - Lexicographical Substring Search


Little Daniel loves to play with strings! He always finds different ways to have fun with strings! Knowing that, his friend Kinan decided to test his skills so he gave him a string S and asked him Q questions of the form:


If all distinct substrings of string S were sorted lexicographically, which one will be the K-th smallest?


After knowing the huge number of questions Kinan will ask, Daniel figured out that he can't do this alone. Daniel, of course, knows your exceptional programming skills, so he asked you to write him a program which given S will answer Kinan's questions.

Example:


S = "aaa" (without quotes)
substrings of S are "a" , "a" , "a" , "aa" , "aa" , "aaa". The sorted list of substrings will be:
"a", "aa", "aaa".

 

Input

In the first line there is Kinan's string S (with length no more than 90000 characters). It contains only small letters of English alphabet. The second line contains a single integer Q (Q <= 500) , the number of questions Daniel will be asked. In the next Q lines a single integer K is given (0 < K < 2^31).

Output

Output consists of Q lines, the i-th contains a string which is the answer to the i-th asked question.

Example

Input:
aaa
2
2
3

Output: aa
aaa

Edited: Some input file contains garbage at the end. Do not process them.


hide comments
mickey: 2015-08-30 11:38:56

Do not deal with multi-cases!!!

arunpatala: 2015-07-31 18:19:05

@sanzee use O(nlogn) for building suffix array

Rydel Dcosta: 2015-06-30 22:33:58

AC in first go !! :D

Muhammad Rifayat Samee (Sanzee): 2015-04-27 12:05:04

getting TLE using suffix array O(n * (lgn)^2) .....

hzf: 2015-01-25 02:54:52

SAM is expected!

AAKASH SHINGHAL: 2015-01-23 19:25:13

What's the possible reason of NZEC error in JAVA?

Last edit: 2015-01-23 19:30:24
Buda IM (retired): 2011-11-08 16:54:11

I got AC without handling that kind of cases

Axel Brzostowski: 2011-11-04 08:30:01

What do we suppose to answer if K > #(distinct substrings)? It seems like it could happen...

Last edit: 2011-11-04 19:30:54
Seshadri R: 2010-09-18 16:20:17

@Damir: Thanks for providing the clarity. It was not obvious from the example given.

Damir Ferizovic: 2010-09-16 18:35:46

@Seshadri: what you wrote are permutations, not substring. For "abc" the substrings would be:
"a" "ab" "abc" "b" "bc" "c"


Added by:Damir Ferizovic
Date:2010-09-02
Time limit:0.149s-0.299s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS OBJC VB.NET
Resource:Own Problem