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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#3326 Re: Puzzles and Games » Add 13 more and post it forever. » 2010-02-09 11:40:45

715:

7 + 1 + 5 = 13
715 = the sum of 13*1, 13*2, 13*3, 13*4...13*10
715 = the sum of the digits of the first 58 answers (and 5 + 8 = 13)

#3327 Re: Exercises » What do you think? » 2010-02-09 04:04:51

Hi Bobby,

Thanks for providing your code for the Elvis problem.

I made some changes to it that reduced the run time down to 15 seconds (previously 1 minute).

There was some duplication and other stuff, such as a lot of unnecessary calculating that I eliminated by repositioning some if/then lines.

I've altered the code in my post #120.

#3328 Re: Exercises » What do you think? » 2010-02-06 13:59:05

Hi Bobby,

I solved the King's puzzle in BASIC (LibertyBASIC).

my code.

#3329 Re: Exercises » What do you think? » 2010-02-04 04:33:21

Hi Bobby,

is my answer to the King's puzzle. I enjoyed that...hope the answer is correct.

I'll have a closer look at your permutations post when I'm more awake.

#3330 Re: Exercises » What do you think? » 2010-02-03 10:13:36

Hi Bobby,

I had a go at the King's puzzle last night, but got stuck.

is where I'm up to so far. I've probably done something wrong, though, because I should be able to finish it from there, but can't...unless I've overlooked something. I'll try again tonight.

EDIT: Just saw that I made a silly, flyspot-sized error that I'm sure will make a huge difference. Start again. sad

#3331 Re: Exercises » What do you think? » 2010-02-02 23:05:39

But MIF has many more members than 414...not to mention guests.

#3332 Re: Exercises » What do you think? » 2010-02-02 22:30:52

Hi Bobby,

I reckon the basketballer has to make at least

many free throws not to be cut from the team.

I expect 414 answers

Why 414?

#3333 Re: Exercises » What do you think? » 2010-02-02 18:42:29

It's amazing how many programs could be squeezed into those old machines. Helped me to develop bad program-writing habits, though, by jamming in the max amount of code per line just to save enough kBs here and there to make room for another program.

I used to record my PC-1500A's programs on cassette via a radio-cassette player. Had to twiddle the knobs and tweak the settings to get them just right for a successful upload...and download!

#3334 Re: Exercises » What do you think? » 2010-02-02 18:08:35

Hi Bobby,

My point, we have computers, we have the internet let's use them.

I do. I like using BASIC, Excel and other solvers where I can, but I do spark up if I happen to see a nifty algebraic solution.

I had a bunch of Sharp programmable calculators. Last one had 5k of memory and a larger screen.

My Sharp PC-1500A has an 8kB memory, which I tripled to a whopping-great 24kB by adding a 16kB module to it years ago. I still enjoy using it.

#3335 Re: Exercises » What do you think? » 2010-02-02 15:40:01

Hi Bobby,

I'm way out of my depth here and can't comment much...except to say that each method probably has strengths and weaknesses that the other doesn't have, and one might suit a particular application better than the other. In what ratio that is I wouldn't have a clue.

And they can work together, as in this problem I came across many years ago (see diagram). I came up with an equation in terms of x but couldn't solve it, and then used Newton's method of successive approximations to find the value of x.

I went to the library to try to find out how to solve nasty equations and read about Newton's method, but then had to learn up on it and try to understand what 'functions' and 'derivatives' were because I didn't get to that level at school.

Eventually I worked out how to program that into a little hand-held computer I've got (a Sharp PC-1500A), which automated the solving process.

That was all very interesting at the time...but now I've forgotten it all.

#3336 Re: Puzzles and Games » d-star » 2010-02-02 11:23:42

bobbym wrote:

...But I did miss the annoying, earsplitting background music.

Yes...the poor sound recording was a bit of a downer. I had to turn my speakers up nearly full-blast on the vid to at least get some annoying, earsplitting effect.

#3337 Re: Puzzles and Games » d-star » 2010-02-02 05:32:27

Hi phrew,

I don't know how to give a good hint for this. However, if you're still totally stuck on level 8 and you're tearing your hair out over it, here's a video of my solution that I uploaded: Level 8

It's not the quickest way (after recording it I noticed a couple of unnecessary moves), but it gets there and shows how I went about it. Others will have their own, and probably better, solutions.

Warning: If you look at the vid you will lose the satisfaction of conquering that level yourself...but it will save you from having to fork out for a wig!

EDIT: I've since bettered that solution - by 31 moves! (see my post #27 for the solution text and updated video). I've deleted the old vid.

#3339 Re: Exercises » What do you think? » 2010-02-01 11:08:43

You'd be an asset on the debating team, Bobby!

Surely the algebraic method is better for non-integer solutions, particularly those with multiple decimal places?

For me, the grass is greener over your way...

#3340 Re: Exercises » What do you think? » 2010-02-01 03:02:58

Hi Bobby,

Yes...that's a very nice, logical answer. Done the proper way, I think.

#3341 Re: Puzzles and Games » d-star » 2010-01-31 21:20:38

Hi;

This game is here on MIF.

Got through to the end! smile

Had to start again twice, though, and my 'strategy' is rather hit and miss.

#3342 Re: Exercises » What do you think? » 2010-01-31 20:18:42

Hi Bobby,

Do you have an interesting method of solution?

Not really...

is what I did.

#3343 Re: Exercises » What do you think? » 2010-01-31 18:37:10

Hi Bobby,

The gopher is caught 12 feet short of his hole.

#3344 Re: Help Me ! » Pythagoris's theorem and its converse » 2010-01-31 14:58:36

Hi waven,

There are a couple of errors. Using your drawing:

1. DC = the diameter BC minus BD......to which your answer 6 is incorrect.

2. Your solution finds AD, instead of AC as per the problem wording.

The answer that you were given (AC = √130) is correct.

#3345 Re: Exercises » What do you think? » 2010-01-31 11:48:53

Hi Bobby,

I don't know if you've tried my spreadsheet formulas, but I made a typo yesterday. I corrected it just a few minutes ago. Sorry 'bout that, if you've wasted some time on it! sad

#3346 Re: Exercises » What do you think? » 2010-01-31 01:32:43

bobbym wrote:

Bingo, good work!

How did you do it, Bobby?

My first attempt was For/Next loops in BASIC (the only programming language I know a little about), but I kept on overlooking something. Then I saw that I could solve the puzzle in Excel, but I didn't think and threw my BASIC work away...and now I wish I hadn't.

I wondered also if it could somehow be done with permutations, but I know nothing about that subject.

My spreadsheet

EDIT: There was a typo in my spreadsheet formulas...now corrected. Sorry!

#3347 Re: Exercises » What do you think? » 2010-01-30 03:58:33

bobbym wrote:

That is closer, but...

Is

getting warmer, Bobby?

#3348 Re: Exercises » What do you think? » 2010-01-23 02:46:44

bobbym wrote:

That is the closest yet, but not dangerously close.

I'm beginning to feel dangerous...I think!

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