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Fdoou

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ee mathamatics

i doubt anyone will be able to answer this

a smiley spawns in the bottom of a great world in the exact center
the smiley has all the properties of a smiley that is not using a potion and plays perfectly
the smiley wants to get to the top of the world (ie enter top row of blocks for any amount of time)
blocks in the world are randomly arranged

what % of the world should be filled with solid blocks in order for the lowest chance that it will be impossible to reach the top?

some woman

Member

From: 4th dimension

Joined: 2015-02-15

Posts: 9,289

Re: ee mathamatics

I'd guess about 100%?
EDIT: oops, misread it. I think about 25% or so.

Last edited by some man (Jul 27 2014 5:48:09 pm)

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10 years and still awkward. Keep it up, baby!

Muffin

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Re: ee mathamatics

Idk how to answer this but are all the blocks solid or are there bgs/actio blocks too?

Creature

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From: The Dark Web

Joined: 2015-02-15

Posts: 9,658

Re: ee mathamatics

The result is 0,099% of the world.

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This is a false statement.

Slushie

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From: look behind u

Joined: 2015-03-04

Posts: 504

Re: ee mathamatics

This is pretty interesting. But I don't think it's possible to get an accurate answer in a reasonable amount of time using simulation, which is our only option for problems like this.

I'd say, in a great world, it will be possible to reach the top almost 100% of the time if the world is filled to 25% capacity.

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ok

Koya

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From: The island with those Brits

Joined: 2015-02-18

Posts: 6,310

Re: ee mathamatics

I'll run some tests tomorrow - I would say something like 20%

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Thank you eleizibeth ^

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some woman

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From: 4th dimension

Joined: 2015-02-15

Posts: 9,289

Re: ee mathamatics

Actually, I think the logical conclusion would be 0% (excluding the border). If there were no blocks, the smiley would never be able to get any higher then he can jump in the first place. unless he has magic hax

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10 years and still awkward. Keep it up, baby!

Fdoou

Banned

Re: ee mathamatics

the first thing to do, if you want to solve this like a a++ student would be to find out what exactly is possible out of a ton of different arrangements of blocks in an x by y area and then how "connectable" those arrangements are, what requirements there would be to get from one "tile type" to another, and what %blocks those have and if the positives of what is better than the negatives of what and
its complicated to correctly solve

@some man
pls reread the question or leave the topic

Last edited by Fdoou (Jul 27 2014 7:34:01 pm)

Different55

Forum Admin

Joined: 2015-02-07

Posts: 16,577

Re: ee mathamatics

Much less than 25%. A number that high would mean that one in every four blocks is filled. You're likely to run into dense formations that make it impossible to progress. Maybe somewhere around 10%?

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"Sometimes failing a leap of faith is better than inching forward"
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some woman

Member

From: 4th dimension

Joined: 2015-02-15

Posts: 9,289

Re: ee mathamatics

I think that if the blocks were organized randomly enough and if you got lucky enough, you could get away with 1%.

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10 years and still awkward. Keep it up, baby!

Muftwin

Guest

Re: ee mathamatics

randomly enough

please leave

Fdoou

Banned

Re: ee mathamatics

how many blocks of running does it take to get up to full speed? that number is important for this question

Buzzerbee

Forum Admin

Joined: 2015-02-15

Posts: 4,578

Re: ee mathamatics

The answer to the first question is approximately (to the first 615 decimal places):

0.000812141515659103598802091264402822191766915385005837267143799807116390030962895284503324704329729455357596061113649053347545809857367646312369930460382721689254352570935485508349829957870158875184000812141515659103598802091264402822191766915385005837267143799807116390030962895284503324704329729455357596061113649053347545809857367646312369930460382721689254352570935485508349829957870158875184000812141515659103598802091264402822191766915385005837267143799807116390030962895284503324704329729455357596061113649053347545809857367646312369930460382721689254352570935485508349829957870158875184000812141515659103599%

TCG and I figured it out.

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I will solve your next question later, I must go to bed.

Last edited by BuzzerBee (Jul 27 2014 10:38:41 pm)

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theditor

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Joined: 2015-02-18

Posts: 1,320

Re: ee mathamatics

You only need 3 blocks to trap the smiley. Then it can't move anywhere!

Fdoou

Banned

Re: ee mathamatics

buzzerbee show your work

Koya

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From: The island with those Brits

Joined: 2015-02-18

Posts: 6,310

Re: ee mathamatics

The answer to the first question is approximately (to the first 615 decimal places):

0.000812141515659103598802091264402822191766915385005837267143799807116390030962895284503324704329729455357596061113649053347545809857367646312369930460382721689254352570935485508349829957870158875184000812141515659103598802091264402822191766915385005837267143799807116390030962895284503324704329729455357596061113649053347545809857367646312369930460382721689254352570935485508349829957870158875184000812141515659103598802091264402822191766915385005837267143799807116390030962895284503324704329729455357596061113649053347545809857367646312369930460382721689254352570935485508349829957870158875184000812141515659103599%

TCG and I figured it out.

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I will solve your next question later, I must go to bed.

So to get to the top of a 200 block high world (200 wide) I need... 0.32 blocks?

((200*200)/100)•0.0008121... = 0.32485660626

Yeah... no, that's not right.

(I am running actual tests right now in a 400*200 world)

Last edited by Metatron (Jul 28 2014 2:12:45 pm)

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Thank you eleizibeth ^

I stack my signatures rather than delete them so I don't lose them

Creature

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From: The Dark Web

Joined: 2015-02-15

Posts: 9,658

Re: ee mathamatics

If you use a block each 3 rows, you will have: 198/3-1=65. 100/80000=0.00125, it means a block uses 0.00125% of the world. We will use 65 blocks, it means: 65x0.00125=0.01375.
Final answer: 0.01375% of the world.

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This is a false statement.

Slushie

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From: look behind u

Joined: 2015-03-04

Posts: 504

Re: ee mathamatics

A lot of people are misinterpreting the question. It's asking, "What percentage of a great world should be randomly filled with blocks so that being able to reach the top is most likely?". You can't choose where the blocks go. They're scattered randomly throughout the world.

This probably isn't answerable using simulation unless you have A LOT of time on your hands (or a supercomputer).

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ok

ewoke

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Joined: 2015-02-20

Posts: 412

Re: ee mathamatics

> blocks in the world are randomly arranged

so its not 0.01375%

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Creature

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From: The Dark Web

Joined: 2015-02-15

Posts: 9,658

Re: ee mathamatics

> blocks in the world are randomly arranged

so its not 0.01375%

But it's the minimum to be used.

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This is a false statement.

Fdoou

Banned

Re: ee mathamatics

what is the maximum?

Creature

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From: The Dark Web

Joined: 2015-02-15

Posts: 9,658

Re: ee mathamatics

what is the maximum?

The maximum is 50%

Last edited by Creature (Jul 28 2014 2:42:39 pm)

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This is a false statement.

Koya

Fabulous Member

From: The island with those Brits

Joined: 2015-02-18

Posts: 6,310

Re: ee mathamatics

Results for lowest percentage that is possible every time (I guess)
7%
Your answer is below that

20% (16000)

10% (8000)

5% (4000)

7% (5600)

6% (4800)

(Go to world at 6%)

To pass:
• at least 2 completions
• no 1x1 hookjumps
• no 1 gap restricted jumps

what is the maximum?

The maximum is 50%

Actually a snaked path to the top, max is 99.2532%

(((80000-3•(398/2)+1)/80000)•100=99.2532%

Last edited by Metatron (Jul 28 2014 4:02:22 pm)

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Thank you eleizibeth ^

I stack my signatures rather than delete them so I don't lose them

Master1

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From: Crait

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Posts: 4,452

Re: ee mathamatics

It is impossible to figure out because of this!!

a smiley spawns in the bottom of a great world in the exact center

You cannot spawn in the exact center of a great world. Great worlds are 398 long (excluding the borders). Since this is an even number, you would have to spawn perfectly between 2 blocks. You can't do that !

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Koya

Fabulous Member

From: The island with those Brits

Joined: 2015-02-18

Posts: 6,310

Re: ee mathamatics

It is impossible to figure out because of this!!

a smiley spawns in the bottom of a great world in the exact center

You cannot spawn in the exact center of a great world. Great worlds are 398 long (excluding the borders). Since this is an even number, you would have to spawn perfectly between 2 blocks. You can't do that !

Blocks are 16px wide so you can spawn with 8px on one block and 8px on the other, it is completely possible.

I? ?s?e?e?m? ?t?o? ?h?a?v?e? ?b?r?o?k?e?n? ?t?h?e? ?p?a?g?e? ?w?i?t?h? ?m?y? ?p?r?e?v?i?o?u?s? ?p?o?s?t?,? ?u?s?e? ?c?o?l?o?r?=?w?h?i?t?e?

Last edited by Metatron (Jul 28 2014 3:50:30 pm)

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Thank you eleizibeth ^

I stack my signatures rather than delete them so I don't lose them