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Hi Bobby,
Also did that program get the right answer?
I don't know, as I've got nothing that can check it and I don't know where to look for something that can handle such large numbers (other than downloading one of those programs you mentioned and trying it out there).
Did it evaluate the tower from top down or from bottom up?
From bottom up. I tried it from top down last night, and after an hour or more it said the numbers were too large. So I guess it did some truncating (or something else) upwards that it couldn't do downwards.
That probably means my answer is incorrect...and my pretty picture too.
Would you be able to check that for me?
Hi Bobby,
I had for BLOG -> POST -> IDEA, which is a couple shorter.
BABY
BABE
BALE
BILE
MILE
MILK
MILL
KILL
KELL
TELL
TEEL
TEEN
FOOT -> BALL -> SHOE
A bit late...:(
FEEL
FEED
FEND
FAND
HAND
SAND
SAID
SAIL
NAIL
BLOG -> POST -> IDEA
Hi Bobby,
Mouses to Cheese - I have been told this one is impossible. I don't agree, What do you think?
I disagree with the person who told you that.
MOUSES
TOUSES
THUSES
CHUSES
CHASES
CHACES
CHACKS
CHECKS
CHEEKS
CHEEKY
CHEESY
CHEESE
All are in Collins.
COPY -> DRAG -> TEXT
The inspiration for this one came from something I was doing in Excel a few moments ago. I haven't tried to solve it yet.
Hi ZHero,
You're definitely not the only person to have tried this puzzle and lost sleep because of it!! I lost plenty!
Glad you thought it was a good teaser too!
But...have you actually solved each question, or just those you've ticked on the questionaire? You're supposed to solve the lot, and only then will you be able to make sense of what mathsyperson wrote...that "there's something special about the answer".
I hope you didn't think that the aim was just to solve the last question, with questions 1 to 19 being there only to help you solve Q20!
All words on my list. See if you like them.
All in SOWPODS
mow -> the -> top , can it be done?
Probably...if mowing the top isn't too awkward.
MOW
MOE
TOE
THE
TOE
TOP
COST -> FREE
I haven't tried this yet.
A shorter solution to Challenge #11:
PLAY
PLAT
PEAT
PERT
PERE
FERE
FIRE
All words are in SOWPODS.
Maybe we could try PLAY -> WITH -> FIRE next. I haven't tried that yet...probably will tonight.
And here is an even, even shorter solution to Challenge #7 (not #6, which is another):
SHUT
SPUT : n A reinforcing plate (Century Dictionary and Webster's 1913); also past tense To spit (O.E.D. - dialect).
SPET : n A species of barracuda (O.E.D. and Century Dictionary); also v To spit. (O.E.D. - dialect).
SPEN : see below.
OPEN
According to the O.E.D., "spen" is a variant of "spean" (n to wean). I don't know of any other dictionary that contains that word.
If SPEN is disallowed, then:
SHUT
SPUT
SPET (or SPUD)
SPED
OPED
OPEN
If SPUT is disallowed, replace with SHET : n Old form of shut (Collins); also appears in SOWPODS.
My little 143KB calculator handled that post #458 sum. It's accurate to 10,000 digits...which I've checked many times against W|A. It's generally very quick, but extremely slow at max capacity.
Did you check that post's sum? I've got nothing I can use to verify my calculator's results on that one, and I don't know of any website that would do it. What did you use for your calcs in your last post?
Btw, Bobby, WolframAlpha couldn't handle the sum in my post #458. It conks out at the second power when square roots are combined with factorials (eg, sqrt(5!^9!) works, but sqrt(5!^9!^4!) doesn't). Without the square root, a "power of 10 representation" is given for many powers, but no "decimal approximation" after two powers.
6019
CONCATENATE(6^0*1,SQRT(9)) = 13
5967(catchup)
There are 4 (ie, 1 + 3) right-angled triangles with a hypotenuse of 5980 (ie, 5+9-8^0 = 13) units.
They are:
1472 : 5796 : 5980
2300 : 5520 : 5980
3036 : 5152 : 5980
3588 : 4784 : 5980
These 12 numbers sum to 55568...and 5+5+5+6-8 = 13
Oops! I can't add up!
My post #452 should had been about the number 5876, not 5877.
This should get us back on track:
59 - 28 is 13 backwards
there is no right triangle with a hypotenuse of 5890 units.
What about 3534 : 4712 : 5890?
There is no right triangle with a hypotenuse of 5903 units.
5863: There is a right triangle with the hypotenuse equaling:
And the sum of the sum of the digits of the hypotenuse and the sum of the digits of the sum of the squares of the other two sides is 13 + 13 + 13 + 13 + 13.
Can You Trace the Trend??
I think I've got it!
158507 is a Prime Number, whose digit sum is 26...which is 13 + 13.
758501 is a Prime Number, whose digit sum is 26...which is 13 + 13.
1585007 is a Prime Number, whose digit sum is 26...which is 13 + 13.
5585003 is a Prime Number, whose digit sum is 26...which is 13 + 13.
Ah...I see you corrected that, Bobby. You'd first found the position of the previous number in your current number calculation.
No offense taken (was there some that I missed?) while you refrain from saying anything other than nice things about my adorable Tulip.
Anyway, I'm thicker than that video mutt, so you're quite safe.
I'm quite impressed with your last number offering, but am unsure about how it fits into our current post # position.
(catchup)