This is starting to make me want one of those "Ten fingers are overrated" T shirts. ---------- Forwarded message ---------- From: Julian Ziegler Hunts <julianj.zh@gmail.com> Date: Wed, Dec 31, 2014 at 5:36 AM Subject: Re: Countdown To: Bill Gosper <billgosper@gmail.com> Hans Havermann>
If we insist on only one the four operators (+-*/) as inbetweens, 2016 is already impossible. The cheat is to allow concatenation as well. This gives us up to (but not including) 2102, even if the concatenation is disallowed after the 10 (to force the saying of 'ten').
Except for 1992: the only way to get it is 1098+765+4+32+1. Julian
Julian (via Bill Gosper):
Except for 1992: the only way to get it is 1098+765+4+32+1.
Yes. Now you know why my http://chesswanks.com/num/countdown.txt went from 1993 to 2101.
(((((10 + (9 * (8 + ((7 + 6) * 5)))) - 4) * 3) + 2) + 1) == 1992 (((((((10 + ((9 + 8) * 7)) + 6) * 5) - 4) * 3) + 2) + 1) == 2016 Are you saying that parens are not allowed? On Wed Dec 31 2014 at 1:58:37 PM Bill Gosper <billgosper@gmail.com> wrote:
This is starting to make me want one of those "Ten fingers are overrated" T shirts. ---------- Forwarded message ---------- From: Julian Ziegler Hunts <julianj.zh@gmail.com> Date: Wed, Dec 31, 2014 at 5:36 AM Subject: Re: Countdown To: Bill Gosper <billgosper@gmail.com>
Hans Havermann>
If we insist on only one the four operators (+-*/) as inbetweens, 2016 is already impossible. The cheat is to allow concatenation as well. This gives us up to (but not including) 2102, even if the concatenation is disallowed after the 10 (to force the saying of 'ten').
Except for 1992: the only way to get it is 1098+765+4+32+1.
Julian
-- You received this message because you are subscribed to the Google Groups "mathfuneavesdroppers" group. To unsubscribe from this group and stop receiving emails from it, send an email to mathfuneavesdroppers+unsubscribe@googlegroups.com. For more options, visit https://groups.google.com/d/optout.
participants (3)
-
Bill Gosper -
Hans Havermann -
Peter Norvig