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Old 2019-01-11, 20:03   #45
uau
 
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Quote:
Originally Posted by bsquared View Post
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.
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Old 2019-01-12, 00:29   #46
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Killjoy :-)

I was lazily thinking about running the same-ish script and then I thought that people will say "Killjoy!" so I didn't.
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Old 2019-01-12, 02:30   #47
LaurV
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Quote:
Originally Posted by uau View Post
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.
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Old 2019-01-12, 03:16   #48
petrw1
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90 = 8 * 2 * 5 + 9 + 9 / 3 / 3
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Old 2019-01-12, 05:57   #49
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Quote:
Originally Posted by petrw1 View Post
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
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Old 2019-01-12, 06:38   #50
petrw1
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Quote:
Originally Posted by LaurV View Post
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)
My bad
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Old 2019-01-14, 11:48   #51
henryzz
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92 = 8*2*5+8+((9+9/3)/3)
93 = 8*2*5+8-(9/9-3-3)
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Old 2019-01-14, 12:01   #52
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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
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Old 2019-01-14, 12:14   #53
henryzz
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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
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Old 2019-01-14, 13:14   #54
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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
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Old 2019-01-14, 13:43   #55
henryzz
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Quote:
Originally Posted by unconnected View Post
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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