Post by Fringe Pioneer on Aug 1, 2011 21:01:02 GMT
There are many triples of numbers with the product of 36, but very few have a product of 36 and have some given sum. Apparently, a sum and a product isn't enough, so there must be multiple triples with both. It is enough information knowing that the addends are not all equal, so there must be three numbers such that they have a product of 36, some unknown sum, and a unique maximum.
First (Smallest)
Second
Third (Largest)
Product
Sum
1
1
36
36
38
1
2
18
36
21
1
3
12
36
16
1
4
9
36
14
1
6
6
36
13
2
2
9
36
13
2
3
6
36
11
3
3
4
36
10
The only sum that appears more than once is the sum 13, which has the corresponding addends of [1, 6, 6] and [2, 2, 9]. The first of them has two maxima, whereas the second of them has a unique maximum of 9. The ages of the children are 2, 2, and 9.
This puzzle is a simple Towers of Hanoi problem with n = 7. The least number of moves for a game of n rings is S(n) = 2n - 1 moves. With 7 rings, this means the fastest you could go is by making 127 moves. Please do not make us do that...
While solving the maze, I think I came to the conclusion that your maze cannot be solved. I'm not asking for it yet, but perchance do you have the solution marked? Have you solved the maze yourself? From what I can deduce, the path from Start only leads to dead ends, which include physical dead ends, portals that lead to physical dead ends, or areas impossible to access from the Start path...
Post by Anonymousperson5 on Aug 5, 2011 16:03:05 GMT
I have the solution marked, yes. It's entirely diffucult, winding, and going through many portals. Make sure you go to the one of the same color, it doesn't hurt to use the color pick tool. And I checked it just now. Perfectly solvable. I engineered it specifically so that it was difficult from both the start and end. There are many little paths. Just be sure to check them all. I'm pretty sure most people will ragequit. I made the maze last winter on paper and just transferred it onto paint. I had to redo half because the grid size was different on the other side. But, to be sure, there is a solution. Definitely.
Oshe-yacht. I accidentally copied something wrong. It is now fixed. If I bothered any of you, sorreh.
Post by Fringe Pioneer on Aug 5, 2011 17:26:09 GMT
Copied something over wrong? Alright, I will retry the maze now. With my technique, it's rather easy, albeit time consuming.
What I did was close off the openings to dead ends and then fill them up with the red color. If a portal led to nothing but physical dead ends, the portal and its pair were crossed out and considered to be dead ends. The process was repeated until there were a few white trails. I then worked my way from the start until a fork, and then worked my way from the end to the same fork. I joined the two ends together and present to you this solution...
What caused me to err at first was assuming that two differently colored portals that only led to each other and nowhere else (namely the sky blue and green portals next to the lower crossed out orange portal) would result in a dead end. After removing that assumption, it went easily enough from there following my method as described above. Don't try to start from Start or End: immediately shade in dead ends and let the correct path show itself...
1. How exactly are the matches in part 4 arranged? Could you give a diagram? I don't want to get confused and answer the wrong question. 2. For part 6, are we allowed to use concatenation (i.e. 51?) 3. For part 7, what exactly do you mean by a "stroke"? 4. Is puzzle six worth four points or seven?
I guess that was not that many questions.
EDIT: Wait... I got an answer. One second while I flesh it out.
EDIT: Draw it out, I mean.
EDIT: Downloading pivot so I can make it an animation.
EDIT: Found a tutorial for doing it on Windows movie maker, tried it, realized at the end that that was for old windows movie maker, downloading pivot.
Post by Anonymousperson5 on Aug 6, 2011 4:41:53 GMT
The matches are arranged like a plus sign. Don't have an image editor right now so I'll go for this.
-|-
Two of the matches compose the vertical line, and the hyphens are matches also.
No concatenation.
A stroke. Er, I'd say just a single line.
It was worth 7 but the deadline passed. Its worth has been reduced to 4.
I'm thinking about pulling out my number sequence... Then a single other puzzle. Whatever, I'll go for the number sequence and begin composing a puzzle I have devised...
Screw it, I'm just going to upload my "before' and "after" pictures.
EDIT: Here is your solution.
1. 10 triangles in pentagram in pentagon thing.
How I did it? I drew it, and loved the symmetry.
2. In this sentence, the number of occurrences of 0 is 1, of 1 is 8, of 2 is 3, of 3 is 2, of 4 is 1, of 5 is 1, of 6 is 1, of 7 is 1, or 8 is 2, and of 9 is 1. Fill in the blanks with the correct digits.
I almost got the wrong answer, caught my self at the last moment.
This is why I am a mathematician, not an accountant. Because accountants get paid more. I think.
2. In this sentence, the number of occurrences of 0 is 1, of 1 is 7, of 2 is 3, of 3 is 2, of 4 is 1, of 5 is 1, of 6 is 1, of 7 is 2, or 8 is 1, and of 9 is 1. Fill in the blanks with the correct digits.
I added the three/two stuff after I counted the ones...
1. God, it's so obvious now. It's just going to take forever to count. I really want to say 30. EDIT: It isn't. EDIT: It is? EDIT: I missed 5. 35.
EDIT: Answer to problem 4.
Veers found it first, though. I just got it up here first.
Post by Anonymousperson5 on Aug 6, 2011 6:49:58 GMT
Congrats, now all you need is #4, which is trolling both vert and you. Please, ask no further questions to me on chat at night. I use my laptop at night, and my parents' infuriating security system blocks imageshack. So if you want to show me a solution via image, post it on chat IN THE MORNING (because I have enough time to talk on the desktop while all my family are sleepyheads), SO, please PM me or post in the thread at other times and I will be glad to help. Please don't squish me under a wave of questions. All your questions run around in my head and make my brain confused. Use common sense and don't try to mess with the puzzles like Vert does...*shakes head*. Thank you for your consideration...
Post by Anonymousperson5 on Aug 6, 2011 15:48:31 GMT
Number 5? You move a matchstick to create a square root sign with the V. The square root of one is one. And as for number four, good work. I thought you'd explode if GV hadn't come along.
They can all be perpendicular to each other like this:
Post by Anonymousperson5 on Aug 12, 2011 19:08:52 GMT
Hey peoples, Puzzle 9 is up.
It appears to me that all of you are entirely confused by puzzle eight. Here's a hint for ya.
It doesn't involve any math. Remember, it is finite and has every natural number from one to a hundred. It involves spelling/sounding out the numbers... So think hard. Try both 8 and 9, while I prepare myself in thinking for puzzle 10!
Also, Elmach, no bonus points. Sorry! But you get a virtual cupcake. *huggles Elmach* *gives Elmach cupcake*
Post by Fringe Pioneer on Aug 13, 2011 19:22:41 GMT
Before I post what I think is the answer, could I ask for some clarification? When you state the price of the computer, to what does "that" refer: a copper bar/ a 400th of a gold bar, or a gold bar? I was under the impression that it referred to a whole copper bar and based my answer off that, although I still get an abnormally low answer (unless your market is a black market in a war torn land)...