(In reply to re(4): please read
by Ady TZIDON)
"...and the 20th alphabetically sorted comb. is FCDE (not DFEC, BUT THAT IS BESIDE THE ISSUE)"
20th is FCED (only FDCE, FDEC, FECD and FEDC follow it).
"I challenge Charlie to write a program and to test it for
10 millions randomly chosen 4-tuples in search for a failure- reward granted in case of finding a failing set."
See my previous post. I only had to try 22 randomly chosen 4-tuples to get 7 failures. In all cases, the first available gap was used in decoding.
PLEASE read the objection. The hoped for result is to identify all the numbers chosen by all the people, in the correct order. There are too few possible sets of cards A might see to identify which of the possibilities was actually present. Remember that some of the information conveyed is "wasted" on identifying the 5 possible cards for ordering, and not just on identifying the order, so it's not just 24 possibilities.
Posted by Charlie
on 2007-05-13 03:35:22