[PLUG-TALK] Autodialer numerical math puzzle
Keith Lofstrom
keithl at kl-ic.com
Wed Jun 14 07:47:20 UTC 2006
Math puzzle:
John Jones sets up a program to use his nifty new computer
autodialer. He sets the program up to call "911". Unfortunately,
he hits the shift key and enters 9!! instead. That is,
(9 factorial)factorial.
His autodialer contains a powerful computer capable of very high
precision integer math, and it proceeds to compute this long
integer, and dial it. John has a regular telephone on the US
public telephone network. His autodialer dials 3 digits a second.
He pays 3 cents per minute for long distance charges, rounded
up to the nearest cent.
Question one: What person or company does he end up calling,
with the first usable digits? Name and address, please, as of
June 2006.
Question two: How long (in seconds) will the autodialer dial?
Ignoring taxes, how much will the phone service cost John, if he
(and the recipient) allows the whole sequence of digits to complete?
Keith
(yes, it IS a waste of time)
--
Keith Lofstrom keithl at keithl.com Voice (503)-520-1993
KLIC --- Keith Lofstrom Integrated Circuits --- "Your Ideas in Silicon"
Design Contracting in Bipolar and CMOS - Analog, Digital, and Scan ICs
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