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2019-01-11, 20:03   #45
uau

Jan 2017

5616 Posts

Quote:
 Originally Posted by bsquared Do you have a program that exhaustively searches for these or did you do some sort of proof?

A short Python script that generates all the possible numbers from given digits. I'm not sure whether I should post it here. Using the script obviously makes it pretty pointless to generate numbers by hand. On the other hand you could compare things like "which digits generate most consecutive numbers from 0" - for example 31415926 fails at 607 already.

 2019-01-12, 00:29 #46 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 9,257 Posts Killjoy :-) I was lazily thinking about running the same-ish script and then I thought that people will say "Killjoy!" so I didn't.
2019-01-12, 02:30   #47
LaurV
Romulan Interpreter

Jun 2011
Thailand

913610 Posts

Quote:
 Originally Posted by uau A short Python script that generates all the possible numbers from given digits. I'm not sure whether I should post it here. Using the script obviously makes it pretty pointless to generate numbers by hand.
Exactly, fun is gone. Please don't.

 2019-01-12, 03:16 #48 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 2×3×5×151 Posts 90 = 8 * 2 * 5 + 9 + 9 / 3 / 3
2019-01-12, 05:57   #49
LaurV
Romulan Interpreter

Jun 2011
Thailand

24×571 Posts

Quote:
 Originally Posted by petrw1 90 = 8 * 2 * 5 + 9 + 9 / 3 / 3
you missed an 8
In fact, the 2*5 combination is quite welcomed to make tens, hehe
90 = 8*2*5 + 8 + 9/9 + 3/3

Edit: 91=(8*2*5/8)*9 +9/3/3 (we also found another two combinations for 90)

Last fiddled with by LaurV on 2019-01-12 at 06:01

2019-01-12, 06:38   #50
petrw1
1976 Toyota Corona years forever!

"Wayne"
Nov 2006

106628 Posts

Quote:
 Originally Posted by LaurV you missed an 8 :fail: In fact, the 2*5 combination is quite welcomed to make tens, hehe 90 = 8*2*5 + 8 + 9/9 + 3/3 Edit: 91=(8*2*5/8)*9 +9/3/3 (we also found another two combinations for 90)

 2019-01-14, 11:48 #51 henryzz Just call me Henry     "David" Sep 2007 Cambridge (GMT/BST) 132428 Posts 92 = 8*2*5+8+((9+9/3)/3) 93 = 8*2*5+8-(9/9-3-3)
 2019-01-14, 12:01 #52 unconnected     May 2009 Russia, Moscow 25×79 Posts 94=8*2*5+8-9+9+3+3 95=8*2*5+8+9/9+3+3 96=8*2*5-8+9+9+3+3
 2019-01-14, 12:14 #53 henryzz Just call me Henry     "David" Sep 2007 Cambridge (GMT/BST) 2·2,897 Posts 97=(8+2)*(5+8+9-9-3)-3 98=-8-2+(5+8)*9-9+3-3 Last fiddled with by henryzz on 2019-01-14 at 12:17
 2019-01-14, 13:14 #54 unconnected     May 2009 Russia, Moscow 25·79 Posts 99=8/2+5+8+9*9+3/3 100=8+2-5+8+9*9+3+3 101=8*2+5+8+9*9-3*3 While searching for 99, I've found several representations for 100: 100=8/2+5+8+9*9+3/3 100=8*2-5+8+9*9+3-3 100=8+2*5-8+9*9+3*3 100=8*2+5-8+9*9+3+3 Interesting, how many total of them exists? Last fiddled with by unconnected on 2019-01-14 at 13:19
2019-01-14, 13:43   #55
henryzz
Just call me Henry

"David"
Sep 2007
Cambridge (GMT/BST)

16A216 Posts

Quote:
 Originally Posted by unconnected 99=8/2+5+8+9*9+3/3 100=8+2-5+8+9*9+3+3 101=8*2+5+8+9*9-3*3 While searching for 99, I've found several representations for 100: 100=8/2+5+8+9*9+3/3 100=8*2-5+8+9*9+3-3 100=8+2*5-8+9*9+3*3 100=8*2+5-8+9*9+3+3 Interesting, how many total of them exists?
I also found one for 100:
100=(8+2)*(5+8-9+9/3+3)

102=8*(2+5+8)-9-9+3-3

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