testit.
You have a set of ten very precise resistors (assume that they have an exact resistance value). The resistors can be used individually, in parallel, or in series. The resistance of two resistors in series is given by the sum of the two resistances ( = r1+r2). The resistance of two resistors in parallel is given by the reciprocal of the sum of the reciprocals of the two resistances (= 1 / (1/r1 + 1/r2)). Find the set of ten resistors that forms the largest contiguous range of integral resistances, starting at 1 (in ohms)?
For example: The set of ten resistors: 1, 2, 4, 8, 16, 32, 64, 128, 256,
and 512 ohms, could form all of the resistances from 1 to 1023 by only using them in series (just convert the desired resistance value into binary and
use the resistors that correspond to each non-zero bit). Can you get a larger range by also using your set in parallel?
Can you find a larger contiguous range of integral resistances if you don't have to start at 1 ohm?
Carl G.
"Doing things in series may have serious consequences, but doing things in parallel may have perilous consequences." - C. Ginnow
Recently, champion puzzler Carl G. posted a cryptic message in rec.puzzles:
testit.
Dammit, I'm a coder not a mind-reader! What are you testing?
Given that
(a) Carl frequently posted word problems,
(b) He is an excellent COINER of all sorts of puzzles, and
(c) His surname might be Ginnow
... I'm going to guess that he's testing whether rec.puzzles
is still capable of designing word arithmetic puzzles, with
unique solutions. I think we are:
(CARL * R) + GINNOW = COINER
Since Carl may be trying to ATTRACT interest in rec.p,
I'll submit another, which may be rather easy.
(CARL * R) + GINNOW = ATTRACT
Recently, champion puzzler Carl G. posted a cryptic message in rec.puzzles: >> testit.
Dammit, I'm a coder not a mind-reader! What are you testing?
Given that
(a) Carl frequently posted word problems,
(b) He is an excellent COINER of all sorts of puzzles, and
(c) His surname might be Ginnow
... I'm going to guess that he's testing whether rec.puzzles
is still capable of designing word arithmetic puzzles, with
unique solutions. I think we are:
(CARL * R) + GINNOW = COINER
Since Carl may be trying to ATTRACT interest in rec.p,
I'll submit another, which may be rather easy.
(CARL * R) + GINNOW = ATTRACT
I hope others also post word arithmetic puzzles -- I'd like
to show off my own! :-)
But again, I'm not a mind-reader. Perhaps Carl is annoyed
that nobody has responded to some of his puzzles,
e.g. "Resistance is Futile":
On Monday, July 10, 2000 at 2:00:00 PM UTC+7, Carl G. wrote:
You have a set of ten very precise resistors (assume that they have an exact
resistance value). The resistors can be used individually, in parallel, or in series. The resistance of two resistors in series is given by the sum of
the two resistances ( = r1+r2). The resistance of two resistors in parallel
is given by the reciprocal of the sum of the reciprocals of the two resistances (= 1 / (1/r1 + 1/r2)). Find the set of ten resistors that forms
the largest contiguous range of integral resistances, starting at 1 (in ohms)?
For example: The set of ten resistors: 1, 2, 4, 8, 16, 32, 64, 128, 256, and 512 ohms, could form all of the resistances from 1 to 1023 by only using
them in series (just convert the desired resistance value into binary and use the resistors that correspond to each non-zero bit). Can you get a larger range by also using your set in parallel?
Can you find a larger contiguous range of integral resistances if you don't have to start at 1 ohm?
Carl G.
"Doing things in series may have serious consequences, but doing things in parallel may have perilous consequences." - C. Ginnow
My excuse is that I was AWOL from rec,puzzles in 2000.
I'll to look into this puzzle tomorrow.
James Dow Allen
On Sunday, 28 June 2020 05:17:23 UTC-4, James Dow Allen wrote:
Recently, champion puzzler Carl G. posted a cryptic message in rec.puzzles: >> testit.
[et cetera]
( CARL * R ) + GINNOW = COINER -> ( 7891 * 9 ) + 654420 = 725439
( CARL * R ) + GINNOW = ATTRACT -> ( 5136 * 3 ) + 987742 = 1003150
On Monday, June 29, 2020 at 12:39:51 AM UTC+7, Ilan Mayer wrote:
On Sunday, 28 June 2020 05:17:23 UTC-4, James Dow Allen wrote:
Recently, champion puzzler Carl G. posted a cryptic message in rec.puzzles:
testit.
[et cetera]
( CARL * R ) + GINNOW = COINER -> ( 7891 * 9 ) + 654420 = 725439
( CARL * R ) + GINNOW = ATTRACT -> ( 5136 * 3 ) + 987742 = 1003150
ILAN x MAYER = EXEMPLAR
BRAINY + ILAN + MAYER = MARVEL
Now is the season for campaign mottoes. Wouldn't it add to
the fun if such mottoes had to be valid base-10 word arithmetic
puzzles with unique solutions? Here's one for the incumbent:
MAKE x AMERIKA = INEPT x AGAIN
On 29/06/2020 15:53, James Dow Allen wrote:
MAKE x AMERIKA = INEPT x AGAIN
Either you screwed up or I did. Probably me. I can find no valid
solutions. (I even brute-forced it to check.)
Recently, champion puzzler Carl G. posted a cryptic message in rec.puzzles:
testit.
Dammit, I'm a coder not a mind-reader! What are you testing?
Given that
(a) Carl frequently posted word problems,
(b) He is an excellent COINER of all sorts of puzzles, and
(c) His surname might be Ginnow
... I'm going to guess that he's testing whether rec.puzzles
is still capable of designing word arithmetic puzzles, with
unique solutions. I think we are:
(CARL * R) + GINNOW = COINER
Since Carl may be trying to ATTRACT interest in rec.p,
I'll submit another, which may be rather easy.
(CARL * R) + GINNOW = ATTRACT
I hope others also post word arithmetic puzzles -- I'd like
to show off my own! :-)
But again, I'm not a mind-reader. Perhaps Carl is annoyed
that nobody has responded to some of his puzzles,
e.g. "Resistance is Futile":
My excuse is that I was AWOL from rec,puzzles in 2000.
I'll to look into this puzzle tomorrow.
James Dow Allen
On 6/28/2020 2:17 AM, James Dow Allen wrote:
Recently, champion puzzler Carl G. posted a cryptic message in...
rec.puzzles:
testit.
Dammit, I'm a coder not a mind-reader! What are you testing?
Given that
(a) Carl frequently posted word problems,
(b) He is an excellent COINER of all sorts of puzzles, and
(c) His surname might be Ginnow
... I'm going to guess that he's testing whether rec.puzzles
is still capable of designing word arithmetic puzzles, with
unique solutions. I think we are:
(CARL * R) + GINNOW = COINER
Since Carl may be trying to ATTRACT interest in rec.p,
I'll submit another, which may be rather easy.
(CARL * R) + GINNOW = ATTRACT
I hope others also post word arithmetic puzzles -- I'd like
to show off my own! :-)
But again, I'm not a mind-reader. Perhaps Carl is annoyed
that nobody has responded to some of his puzzles,
e.g. "Resistance is Futile":
My excuse is that I was AWOL from rec,puzzles in 2000.
I'll to look into this puzzle tomorrow.
James Dow Allen
I was installing Mozilla Thunderbird on an old laptop computer and accidentally sent a test message when in my news account, rather than my default account.
OBPuzzle: Anagram/alphametic below:
CARL+GINNOW = A*CLOWN+GRIN
CARL+GINNOW = A*CLOWN+GRIN
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