English
Zadanie Szyfr (szy)
Cipher
Memory limit: 32 MB
Notice: task description has been slightly modified with regard to original version from competition, to allow sending programs instead of output files.
We are given a sequence of positive integers 
(for
). This sequence is used to encrypt 
-bit
messages. If we have a message consisting of consecutive bits(
) (
is either 
or 
), then
its encryption it the number:
Task
You are given encrypted messages and sequences of numbers (
), that
have been used to encrypt the messages. Your task is to decrypt the encrypted
messages and to save them in particular files. You are not expected to present
any program. It is sufficient that you write the decrypted messages.
Input
In the first line of the standard input there is one integer 
,
. In the successive 
lines there is a
sequence of numbers (
) written: in the line of number
there is one positive integer 
. The sum of the
numbers 
does not exceed 
. In the
line of number 
there is one integer 
- the encrypted
message, 
.
Output
In the first line of standard output you should write the
successive numbers 
, without any spaces between them. The test
data were chosen so that the encrypted messages are unambiguously determined.
Example
For the input data:
24 19226985 123697 67356296 19721773 1113273 69335448 23680077 9029881 85168664 93676782 5253843 77616588 78572630 13375812 17199980 101508862 59248276 3505733 35790095 62028546 85726819 56462819 103373994 91757169 667509506
the correct result is:
110001000101101100010101
Task author: Wojciech Guzicki.