The 'Royal Bank of Cherryland' keeps all the king's jewels in
a safe with six locks. These locks can be opened by typing the
correct code number on a control panel.
The control device works as follows:
KEY ACTION
0 closes all six locks
1 opens locks 4 and 6 if 2 and 3 are open
2 opens lock 4 if 1 and 3 and 5 are closed
3 switches the state (open/closed) of lock 1 AND
switches the state (open/closed) of lock 5
4 opens locks 2 and 5 if 1 is closed
closes locks 3 and 6 if 1 is open
5 closes locks 1 and 3 and 6 if 2 is open
opens lock 5 if 2 is closed
6 opens lock 1 if 3 and 4 and 6 are closed
7 opens lock 3 if 1 and 3 are closed
opens lock 5 if 1 and 3 are open
8 closes locks 3 and 5 if 2 and 3 are open
closes locks 4 and 6 if 2 and 3 are closed
9 opens locks 1 and 5 if 2 is closed
Note: nothing happens, if not all requirements are met, e.g.
if lock 2 is open and 3 is closed pressing the key '1' won't
change anything.
Give a five number code which opens the safe if all locks are
closed!
