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Heroes Community > Volcanic Wastelands > Thread: New Puzzle
Thread: New Puzzle This thread is 3 pages long: 1 2 3 · «PREV / NEXT»
NoobX
NoobX


Promising
Legendary Hero
~Knowledge is power~
posted September 06, 2017 10:31 PM

So what are we going to do now?
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Elvin
Elvin


Admirable
Omnipresent Hero
Tastes like chicken
posted September 06, 2017 10:56 PM

artu said:
The_Polyglot said:
What 4+7? Not given in the original, not part of the sequence.

Exactly. If what was asked had been the next sequence, instead of the given 5 + 8, that could have been an alternative answer. But as thnigs are, the answer should be 34.

You're wrong. To me it seems obvious that 4+7 was intentionally excluded to trick those who blindly move to the next pair. And like I said, if you consider that 21 +(4+7) = 32 plus (5+8) equals 45 which is an already known correct answer.

You were looking at an incomplete sequence while thinking you had all the data.
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Stevie
Stevie


Responsible
Undefeatable Hero
HC SUPPORTER
posted September 06, 2017 10:56 PM
Edited by Stevie at 23:26, 06 Sep 2017.

Elvin said:
1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
5 + 8 = ?

This one took me around half a minute. I suspect sleep lag was a factor but still, harder than the last.

Let's see your answers!


1 + 4 = 5
2 + 5 = 7 + 5 = 12
3 + 6 = 9 + 12 = 21
4 + 7 = 11 + 21 = 32
5 + 8 = 13 + 32 = 45.

That was my reasoning, assumptions-free.

Though I have to admit, there's some illuminati snow going on with these numbers.

EDIT:
Actually, I think I'm starting to see another pattern. Multiply the first number from a proposition with the second one from the proposition bellow and you get the right answer. So instead of 1 + 4 = 5, you can have 1 x 5 = 5. Then 2 + 5 = 12 to 2 x 6 = 12 and so on. It'll look like this (multiplication represented by color):

1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
4 + 7 = 32
5 + 8 = 45
6 + 9 = 60
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OhforfSake
OhforfSake


Promising
Legendary Hero
Initiate
posted September 06, 2017 11:15 PM

You're all wrong.

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Stevie
Stevie


Responsible
Undefeatable Hero
HC SUPPORTER
posted September 06, 2017 11:29 PM
Edited by Stevie at 23:46, 06 Sep 2017.

And actually there's even more patterns in there with those numbers, but I fear that if I stare at them too deeply they might stare back at me and I'd go insane, so I'll pass.

Ah, what the hell, just one more:

1 + 4 x 5 = 21
2 + 5 x 6 = 32
3 + 6 x 7 = 45
4 + 7 x 8 = 60

EDIT: Alright, last one, I swear:

1 x 3 + 4 = 7
2 x 4 + 5 = 13 - 1 = 12
3 x 5 + 6 = 21
4 x 6 + 7 = 31 + 1 = 32
5 x 7 + 8 = 43 + 2 = 45
6 x 8 + 9 = 57 + 3 = 60

This is not safe for me.
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The_Polyglot
The_Polyglot


Promising
Supreme Hero
zombie
posted September 06, 2017 11:46 PM

@Elvin:Since there weren't any instructions and no indication that the sequence was incomplete. we're forced to assume the sequence given is complete. Adding another set of values arbitrarily, post-factum doesn't mean anything, because they weren't present in the original.
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Screw interest, take initiative!
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Stevie
Stevie


Responsible
Undefeatable Hero
HC SUPPORTER
posted September 06, 2017 11:48 PM

So how'd you get 34 then? You don't have to assume anything, I just showed you.
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The_Polyglot
The_Polyglot


Promising
Supreme Hero
zombie
posted September 06, 2017 11:51 PM

This is how:

Minion said:
Oh I thought it like this

1 + 4 = 5
(5)+ 2 + 5 = 12
(12)+ 3 + 6 = 21
(21)+ 5 + 8 = 34



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Screw interest, take initiative!
Anonymous

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artu
artu


Promising
Undefeatable Hero
My BS sensor is tingling again
posted September 06, 2017 11:52 PM

What do you mean how? It's simplest pattern.

Minion said:
Oh I thought it like this

1 + 4 = 5
(5)+ 2 + 5 = 12
(12)+ 3 + 6 = 21
(21)+ 5 + 8 = 34



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Stevie
Stevie


Responsible
Undefeatable Hero
HC SUPPORTER
posted September 06, 2017 11:57 PM

Lmao. So you guys went against general mathematical convention with the actual assumption on your part that after 3 there's 5 and after 6 there's 8. Simpletons
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Maurice
Maurice

Hero of Order
Part of the furniture
posted September 07, 2017 12:00 AM

Stevie said:
So how'd you get 34 then? You don't have to assume anything, I just showed you.


You're assuming that the series has a linear increase, while the original post never implied as such. Hence, you're including the "4 + 7 = 32" one illegaly under that assumption.
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Stevie
Stevie


Responsible
Undefeatable Hero
HC SUPPORTER
posted September 07, 2017 12:03 AM

You're mistaking assumption for calculation. I reckon they're different entirely.
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artu
artu


Promising
Undefeatable Hero
My BS sensor is tingling again
posted September 07, 2017 12:09 AM
Edited by artu at 11:28, 07 Sep 2017.

You do exactly as Maurice says, the 34 solution dont "assume" anything, you add the new numbers to the previous sum, that's why when he saw it, Elvin also said it was the simpler solution:
Elvin said:
I admit that adding the previous result to each was an easier observation to make. I didn't notice it.

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The_Polyglot
The_Polyglot


Promising
Supreme Hero
zombie
posted September 07, 2017 12:12 AM
Edited by The_Polyglot at 00:13, 07 Sep 2017.

@Stevie: No, I looked at a given set of values and found a pattern. You altered the values and got a different result for a different pattern.

It's kinda like taking an order at a restaurant and then opting to overwrite it because you know better.
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Screw interest, take initiative!
Anonymous

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Stevie
Stevie


Responsible
Undefeatable Hero
HC SUPPORTER
posted September 07, 2017 12:16 AM

You guys are positively precious right now
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Guide to a Great Heroes Game
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artu
artu


Promising
Undefeatable Hero
My BS sensor is tingling again
posted September 07, 2017 12:57 AM

Here's a Google result:

So...the problem here is there is are MULTIPLE CORRECT ANSWERS, since the construct for this problem is not defined. Here are 5 perfectly valid ways to solve this with 5 different results. THERE ARE MORE VALID EQUATIONS that can solve this…this was just the first 5 I came up with.

(For those that are saying the addition is wrong and 8 + 5 is always 13, see my last two examples where the cross symbol is still a plus sign, and the answers still work with basic standard addition. Also, a cross symbol can also be used as a generic function symbol in some contexts. Dont be so closed minded.)

1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
5 + 8 = ?

1 + 4 = 5
2 + 5 = 2 + 2(5) = 12
3 + 6 = 3 + 3(6) = 21
5 + 8 = 5 + 5(8) = 45
ALGORITHM: A + A(B) = C
ANSWER = 45

1 + 4 = 1 + 4 + (0) = 5
2 + 5 = 2 + 5 + (5) = 12
3 + 6 = 3 + 6 + (12) = 21
5 + 8 = 5 + 8 + (21) = 34
ALGORITHM: A + B + C' = C, where C' is the previous answer
ANS = 34

1 + 4 = 5 = 5
2 + 5 = (5 + 2) + (5) = 12
3 + 6 = (7 + 2) + (12) = 21
5 + 8 = (9 + 2) + (21) = 32
ALGORITHM: for {X=5, C = X + C' , X = X+2 };, where C' is the previous answer. A and B not used in equation,
ANS = 32

1 + 4 = 5
2 + 5 = 7 (base 5) =12
3 + 6 = 9 (base 4) = 21
5 + 8 = 13 (base 3) = 111
ALGORITHM: for {X=6, C = (A + B)^(10 -> X), X -1} (First answer in Base6, then Base 5, then 4, etc...)
ANS = 111

1 + 4 = 5
2 + 5 = 7 (base 5) =12
3 + 6 = 9 (base 4) = 21
4 + 7 = 11 (base 3) = 102
5 + 8 = 13 (base 2) (aka binary) = 1101
ALGORITHM: for {X=6, C = (A + B)^(10 -> X), X -1} (First answer in Base6, then
Base 5, then 4, etc...including "missing" numbers
ANS = 1101
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OhforfSake
OhforfSake


Promising
Legendary Hero
Initiate
posted September 07, 2017 09:49 AM

artu said:
Here's a Google result:

So...the problem here is there is are MULTIPLE CORRECT ANSWERS, since the construct for this problem is not defined. Here are 5 perfectly valid ways to solve this with 5 different results. THERE ARE MORE VALID EQUATIONS that can solve this…this was just the first 5 I came up with.


The problem with this reasoning is that it goes for all series.

f(1) = 1
f(2) = 2
f(3) = ??

Most people would probably say 3, 4 is also logical, but mathematically 438901384 is just as valid.

It can be extended indefinitely, because you can always create an algorithm or even a function that contains all the numbers you have already been informed of and includes whatever numbers you want.

So the same goes for something like 1, 2, 3, 4, 5, 6, 7, 8 and the next number is? Whatever you want, but if you're getting it in school and you don't write 9, you'd probably be told you're incorrect.

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artu
artu


Promising
Undefeatable Hero
My BS sensor is tingling again
posted September 07, 2017 11:20 AM

Well, the algorithm that gives 34 was the one that spontaneously surfaced with me in about 10 to 15 seconds and considering how I suck big time when it comes to math, I'd say it's the most obvious one. You don't have to insert hidden sequences or anything, it's just there as plain as 1, 2, 3, 4, 5.... and 6.
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Galaad
Galaad

Hero of Order
Li mort as morz, li vif as vis
posted September 07, 2017 11:31 AM

I suck at maths too but the first that came to my mind spontaneously is
1 + 4 = 5, 2 + 5 + 5 = 12...

I don't even get some of the other ways you guys find different answers.
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OhforfSake
OhforfSake


Promising
Legendary Hero
Initiate
posted September 07, 2017 11:34 AM

artu said:
Well, the algorithm that gives 34 was the one that spontaneously surfaced with me in about 10 to 15 seconds and considering how I suck big time when it comes to math, I'd say it's the most obvious one. You don't have to insert hidden sequences or anything, it's just there as plain as 1, 2, 3, 4, 5.... and 6.


Alright, but considering it's purposefully made as a "trick", I personally wouldn't trust that instinct.

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