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
cydiater: 2017-01-20 14:09:09

SAM is best

Chowdhury Osman: 2016-12-16 23:20:27

Suffice array with O(n * (logn)^2) is enough.

kiwi1995: 2016-12-16 12:13:56

suffix tree:D

flaze: 2016-08-01 17:42:57

well...I got WA for lots of times when supposing there is possibility that the K would be larger than the#(distinct substrings)...But I got AC supposing it doesn't exist.....It is strange...

sxie12: 2016-03-23 21:23:21

Suffix array nlog^2n with optimization, LCP, and binary search passed.

lakshay_v06: 2016-02-05 18:03:39

Loved this one! Suffix Array + LCP + Binary Search. O(nlogn + logq).

Marcelo Fornet: 2015-10-03 00:15:27

I got AC supposing that K <= #(distinct substrings), but I think this should explicit in the statement.

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


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