okay hours of fun to be head walking out codes and to on machines and 3/1 machines and so on if it had another flash of insight after that because I realized I could also do a for one machine or 500 machine or a six-mile machine crazy so what all I do now is be extra crazy and go all the way up to something wild like a 10:1 machine in fact let's be insane let's put in 273 dots in a 10-1 machine what's the code for this number gonna be in this machine wild all right first of all let me draw two hundred seventy three dots one two three four five six seven eight nine ten or is the rightmost box remember 11 12 13 14 15 16 17 you know all right guess I'm going to be here a while to me three dots okay I'm getting bored is that close enough enough we'll say that's true seventy-three dots brilliant all right so I need to think my way through this slowly I'm a little bit slow on these things so here goes first question just a yes/no question will there be any explosions well yes there'll be explosions in fact how many explosions will there be among 233 dots well each group of ten explodes I guess that makes what 27 explosions will occur and any dots left behind yes I bet three dots will be left behind all right so let's do that let's do 27 explosions kaboom cabal cuz whack 27 times Oh so if 27 explosions how many dots will appear here each explosion makes the dots I guess that makes 27 dots here um just write 27 rather than draw the dots is that okay alright so 21 explosions makes 27 dots in the next box over leaving what we said three behind grand next question will there be any more explosions why yes I bet there's what two more explosions leaving Hemme dots behind probably seven behind alright two more explosions kaboom good dot and then seven behind oh oh look what we've got so what's the secret code for the number 273 in a 10-man machine it's two seven three whoa what's going on these machines are obviously doing something that you might already know what they're doing you might be might be cleverer than me but that's a good question what are these machines actually doing the curve for 273 and a 1000 machine is surprisingly 273 that's our next job let's figure out what these machines are actually doing wow that's going to be cruel you
