NHAY - A Needle in the Haystack

Write a program that finds all occurences of a given pattern in a given input string. This is often referred to as finding a needle in a haystack.

The program has to detect all occurences of the needle in the haystack. It should take the needle and the haystack as input, and output the positions of each occurence, as shown below. The suggested implementation is the KMP algorithm, but this is not a requirement. However, a naive approach will probably exceed the time limit, whereas other algorithms are more complicated... The choice is yours.

Input

The input consists of a number of test cases. Each test case is composed of three lines, containing:

  • the length of the needle,
  • the needle itself,
  • the haystack.

The length of the needle is only limited by the memory available to your program, so do not make any assumptions - instead, read the length and allocate memory as needed. The haystack is not limited in size, which implies that your program should not read the whole haystack at once. The KMP algorithm is stream-based, i.e. it processes the haystack character by character, so this is not a problem.

The test cases come one after another, each occupying three lines, with no additional space or line breaks in between.

Output

For each test case your program should output all positions of the needle's occurences within the haystack. If a match is found, the output should contain the position of the first character of the match. Characters in the haystack are numbered starting with zero.

For a given test case, the positions output should be sorted in ascending order, and each of these should be printed in a separate line. For two different test cases, the positions should be separated by an empty line.

Example

Sample input:
2
na
banananobano
6
foobar
foo
9
foobarfoo
barfoobarfoobarfoobarfoobarfoo
Sample output:
2
4

3
9
15
21

Note the double empty line in the output, which means that no match was found for the second test case.

Warning: large Input/Output data, be careful with certain languages

Added by:mima
Date:2004-06-03
Time limit:5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All

hide comments
2012-08-12 21:48:26 Dunno
does haystack include any emtpy space?
2012-07-10 20:00:52 temerario
use scanf,printf instead of cin,cout
2012-07-02 06:38:53 nik
A naive approach works fine in Lua
2012-06-05 05:47:57 blackdaemon
:-<
2012-05-28 11:08:35 chirag
damn!!! how r we suppose to terminte the input in c....


Last edit: 2012-05-28 11:15:12
2012-05-17 10:51:56 Neel Lahiri
@Santiago Palacio ..thanx a lot..my first code got AC after about 10 runtime errors by including ur line
2011-10-25 05:59:55 Santiago Palacio
even cin and cout will do, if you use this line at the begining of the main

ios::sync_with_stdio(false);
2011-07-11 06:18:59 Ying Sihao
Can I use Ansistring to read the whole haystack at once?
2011-05-23 16:47:17 WARush
what a nice problem,
no constraints on input or number of testcase,
output of two testcase should be separated by empty line, but it is not important if we insert it before or after the testcase.
2010-10-23 20:03:47 anonymous
Please tell the end of input
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