Monday 9 June 2008

MAKE A MILLION!

In our maths investigation this morning, we were substituting numbers for letters thus:

a=1, b=2, c=3, d=4 ... z=26

We then found the 'value' of a word by finding the product of all of its letters.
So the value of 'BAD' would be:

B x A x D = 2 x 1 x 4 = 8

Our task was then to try to find a word with a value that is as close as possible to 1,000,000.

The top three were:

1. Dayana, Raneem, Lyna with 'JAPANESE' (1,064,000)
2. Kelsen with 'KELSEN' (877,800)
3. Euan with 'DONKEY' (1,155,000)

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Postscript:

As you know, computers are very good at solving problems like this!
I knocked up a quick program that searches a huge list of over six hundred thousand different words and looks for any that have a word value near to 1,000,000 (plus or minus 5,000).

Here are the results:
(Can you spot the closest one??)

Amyris = 1000350
BARTNIK = 997920
BOYSEN = 997500
CARLISI = 997272
CURING = 1000188
DISHMAN = 995904
DRIVEN = 997920
FRANKEL = 997920
HENRIK = 997920
HENRIKA = 997920
HORNACK = 997920
Henrik = 997920
KILLEN = 997920
KIMMEL = 1003860
KUPOR = 997920
MOORS = 1000350
MOPPED = 998400
MOROS = 1000350
Merise = 1000350
Mieres = 1000350
Moros = 1000350
PACKETS = 1003200
PINKIE = 997920
PLUMS = 995904
RIGGIN = 1000188
SHELVE = 1003200
SHOVED = 1003200
SIEMER = 1000350
SLUMP = 995904
SOWASH = 996360
SOYBEAN = 997500
STEEGO = 997500
STOPKA = 1003200
UTSEY = 997500
VARIANT = 997920
Virden = 997920
WALTMAN = 1004640
budlike = 997920
chuckle = 997920
clinked = 997920
comers = 1000350
cozies = 1000350
curing = 1000188
dogeys = 997500
driven = 997920
helves = 1003200
inhive = 997920
keslep = 1003200
lumps = 995904
lurked = 997920
misere = 1000350
moors = 1000350
mopped = 998400
nervid = 997920
pinkie = 997920
plums = 995904
pucker = 997920
remise = 1000350
rooms = 1000350
sercom = 1000350
shelve = 1003200
shevel = 1003200
shoved = 1003200
shows = 996360
slump = 995904
specked = 1003200
spoked = 1003200
stogy = 997500
suety = 997500
sulks = 1000692
swosh = 996360
typey = 1000000
uncini = 1000188
uncubic = 1000188
verdin = 997920
==========
Total matches: 75

2 comments:

Anonymous said...

WOW!!!!!!!!!!!!!

I'm speechless. I didn't many words letters will have a product very near to 1,000,0000.

Raneem

Mr Hanley said...

It is pretty amazing isn't it! And - the program searched all of those words in about half a second!

Did you spot the 1,000,000 word?