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2007-02-03, 06:19   #23

"Richard B. Woods"
Aug 2002
Wisconsin USA

22×3×641 Posts

Quote:
 Originally Posted by petrw1 Yes % as a sneaky way to divide by 100 is no more or less sneaky than allowing a decimal point as a sneaky way to divide by 10;
... and I don't recall having objected to use of the decimal point in the four 4s problem ... because I didn't think of it then as a divide-by-10!

But now that I see % also proposed, I realize that they're related.

Quote:
 Introducing (REVERSED) is very inventive but I suggest a big stretch
I don't think Zeta-Flux meant that "reversed" was to be an operator. He just meant that his concat ( (√9! * √9!) / 9, 9 ) solution for 49 was to have the opposite order of concatenation (= concat ( 9, (√9! * √9!) / 9) ) to produce 94.

- - -

And now I see that concatenation is just a sneaky multiply-by-10(or -100 or -1000)-and-add.

To me, that's okay only when used to concatenate bare "4"s, as in 44, 444, or 4444 (so that its "invisibility" is restored :-)).

Last fiddled with by cheesehead on 2007-02-03 at 06:21

2007-02-03, 06:45   #24

"Richard B. Woods"
Aug 2002
Wisconsin USA

22·3·641 Posts

One pointed solution:

22 = 9/.9 + 9 + √9

and some pointless ones:

43 = (((√9)!)! / (√9)! + 9) / √9

49 = ((((√9)!)! / (√9)!) / √9) + 9

52 = 9 * (√9)! - ((√9)! / √9)

Quote:
 Originally Posted by grandpascorpion 132 =
((√9)!)! / (√9)! + 9 + √9

134 = (((√9)!)! / 9) + 9 * (√9)!

138 = ((√9)!)! / (√9)! + 9 + 9

147 = ((√9)!)! / (√9)! + (9 * √9)

160 = ((√9)!)! * (√9)! / (9 * √9)

174 = ((√9)!)! / (√9)! + 9 * (√9)!

200 = ((√9)!)! / (√9)! + ((√9)!)! / 9
201 = ((√9)!)! / (√9)! + 9 * 9

Last fiddled with by cheesehead on 2007-02-03 at 07:32

 2007-02-03, 15:38 #25 grandpascorpion     Jan 2005 Transdniestr 503 Posts Up to 200 94= ? 103 = ? 106 = ? 131 = ? 133 = ? 137 = ? 139-146 = ? 148 -150 = ? 151 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 -9 152 = ? 154 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 - sqrt(9)! 155 = ? 157 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 - sqrt(9) 158 = ? 163 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 + sqrt(9) 164 = ? 166 = (((sqrt(9)!)! + ((sqrt(9)!)!)/9 + sqrt(9)! 167 = ? 169 = ? 170 = ? 171 = 9*sqrt(9)! * sqrt(9) + 9 172 = 173 = 175-178 = ? 179 = ((sqrt(9))!)!/9 + 99 180 = 99 + 9*9 181 - 185 = ? 186 = (sqrt(9)!)!/(sqrt(9) - 9*(sqrt(9)! 187 = ? 188 = ? 189 = (sqrt(9)!)^sqrt(9) - 9*sqrt(9) 190-197 = 198 = (sqrt(9)!)^sqrt(9) - sqrt(9)!*sqrt(9) 199= ? ============================= 202-205 = ? 207 = (sqrt(9)!)^sqrt(9) - sqrt(9)*sqrt(9) 208 = ? 209 = ? 210 = (sqrt(9)!)^sqrt(9) - sqrt(9) - sqrt(9) 211 = ? 212 = ? 213 = (sqrt(9)!)^sqrt(9) - 9/sqrt(9) 214 = (sqrt(9)!)^sqrt(9) - sqrt(9)!/sqrt(9) 215 = (sqrt(9)!)^sqrt(9) - 9/9 216 = (sqrt(9)!)^sqrt(9) + 9 - 9 217 = (sqrt(9)!)^sqrt(9) + 9/9 218 = (sqrt(9)!)^sqrt(9) + sqrt(9)!/sqrt(9) 219 = (sqrt(9)!)^sqrt(9) + 9/sqrt(9) 220= ? 221 = ? 222 = (sqrt(9)!)^sqrt(9) + sqrt(9) + sqrt(9) 223 = ? 224 = ? 225 = (sqrt(9)!)^sqrt(9) + sqrt(9) * sqrt(9) Last fiddled with by grandpascorpion on 2007-02-03 at 16:08 Reason: More solutions
 2007-02-03, 18:31 #26 alpertron     Aug 2002 Buenos Aires, Argentina 22×3×113 Posts 141 = ((sqrt(9)!)!/sqrt(9) - 99 144 = ((9 + sqrt(9))*(9 + sqrt(9)) 204 = ((sqrt(9)!)!/sqrt(9) - sqrt(9)! * sqrt(9)! 228 = ((sqrt(9)!)!/sqrt(9) - 9 - sqrt(9) 231 = ((sqrt(9)!)!/sqrt(9) - sqrt(9) - sqrt(9)! 234 = ((sqrt(9)!)!/sqrt(9) - 9 + sqrt(9) 235 = (((sqrt(9)!)! - 9 - sqrt(9)!) / sqrt(9) 236 = (((sqrt(9)!)! - 9 - sqrt(9)) / sqrt(9) 237 = ((sqrt(9)!)!/sqrt(9) - 9 / sqrt(9) 238 = (((sqrt(9)!)! - 9 + sqrt(9)) / sqrt(9) 239 = ((sqrt(9)!)!/sqrt(9) - 9 / 9 240 = ((sqrt(9)!)!/sqrt(9) - 9 + 9 etc. I also prefer: 198 = 99 + 99 Last fiddled with by alpertron on 2007-02-03 at 19:03
 2007-02-04, 13:04 #27 Mini-Geek Account Deleted     "Tim Sorbera" Aug 2006 San Antonio, TX USA 10000101010112 Posts You're going to wear out your 9 keys.
2007-02-04, 13:50   #28
Wacky

Jun 2003
The Texas Hill Country

100010000012 Posts

Quote:
 Originally Posted by Mini-Geek You're going to wear out your 9 keys.
Nein

 2007-02-04, 15:25 #29 Andi47     Oct 2004 Austria 1001101100102 Posts It's a pity that .9~ = 9/9 is not allowed, otherwise we could do this: 94=99-(√9)!+.9~ a 94 without using .9~ anyone?
 2007-02-05, 05:13 #30 petrw1 1976 Toyota Corona years forever!     "Wayne" Nov 2006 Saskatchewan, Canada 2×3×773 Posts Give up?? on 94 that is?? should I give the answer or do you want to try a little longer first?? I will confess I could not get it myself...my son had to find it via a computer progran...
2007-02-05, 12:22   #31
alpertron

Aug 2002
Buenos Aires, Argentina

22×3×113 Posts

226 = (sqrt(9)!)^sqrt(9) + 9/.9
230 = ((sqrt(9)!)!/sqrt(9) - 9/.9

Quote:
 Originally Posted by petrw1 Other versions allow the percent operator (i.e. √9% = .3). Again it is not necessary for this puzzle but if you have to use it.....
94 = 9/9% - sqrt(9) - sqrt(9)
103 = 9/9% + 9/sqrt(9)
106 = 9/9% + sqrt(9) + sqrt(9)
150 = ((9*9)/9%)/sqrt(9)!
181 = 9*9 + 9/9%
191 = (9+9)/9%-9
194 = (9+9)/9%-sqrt(9)!
197 = (9+9)/9%-sqrt(9)
199 = 99 + 9/9%
203 = (9+9)/9%+sqrt(9)
206 = (9+9)/9%+sqrt(9)!
209 = (9+9)/9%+9
220 = ((sqrt(9)!)!/sqrt(9)! + 9/9%

Last fiddled with by alpertron on 2007-02-05 at 13:12

 2007-02-05, 13:34 #32 alpertron     Aug 2002 Buenos Aires, Argentina 22×3×113 Posts 140 = 9/((sqrt(9)!)%) - 9/.9 141 = 9/((sqrt(9)!)%) - sqrt(9)! - sqrt(9) 146 = (sqrt(9)!)/((sqrt(9))%) - 9 * sqrt(9)! 148 = 9/((sqrt(9)!)%) - sqrt(9)!/sqrt(9) 149 = 9/((sqrt(9)!)%) - 9/9 152 = 9/((sqrt(9)!)%) + sqrt(9)!/sqrt(9) 170 = (sqrt(9)!)/((sqrt(9))%) - 9/(sqrt(9%)) 173 = (sqrt(9)!)/((sqrt(9))%) - sqrt(9)^sqrt(9) 177 = 9/((sqrt(9)!)%) + sqrt(9)^sqrt(9) 188 = (sqrt(9)!)/((sqrt(9))%) - 9 - sqrt(9) 190 = (sqrt(9)!)/((sqrt(9))%) - 9/.9 212 = (sqrt(9)!)/((sqrt(9))%) + 9 + sqrt(9) 227 = (sqrt(9)!)/((sqrt(9))%) + sqrt(9)^sqrt(9) Last fiddled with by alpertron on 2007-02-05 at 14:05
 2007-02-05, 14:58 #33 alpertron     Aug 2002 Buenos Aires, Argentina 54C16 Posts 182 = (sqrt(9)!)/((sqrt(9))%) - 9 - 9 185 = (sqrt(9)!)/((sqrt(9))%) - 9 - sqrt(9)!