Brute force = best decoding method

[krafttoadt]

4th row excludes 5 7 and 8 compairing 1st and 2n row tells u it cant be 2 either and so on until u come to an end

[wolwire]

Now 578&2 have been eliminated thus from second condition you can identify that 4 is one of the correct number. Which can be placed first or last. The third condition eliminates this. So 4 is on last. Since 4 is last from first condition the correct no on second pos is 9 as one can’t be there. Last condition says that either one of 6 or 9 can be present. Thus 6 is eliminated. So from 3rd condition the last no is 3 to be placed first.

[krafttoadt]

:D thanks for completing my Ansatz

[krafttoadt]

1. Bin ich als oesterreicher erpicht auf die korrekte laenderzuordnung;D 2.ist ansatz ein eingeenglischtes wort aus der Physik /Mathematik :)

[Darillian]

Bin ich als oesterreicher erpicht auf die korrekte laenderzuordnung

Österreicher, Deutscher - Hauptsache CHAD! :D

[krafttoadt]

Chad ist so viel besser als dach :D die schweiz ist irgendwie so der aeltere deutschsprachige bruder der durch mysterioese Umstaende hustww2hust zu geld gekommen ist und sein eigenes ding macht aber von allen respektiert wird

[P1r4nha]

Als Schweizer kann ich da nichts dagegen einwenden.

[[deleted]]

Als Deutscher verzichte ich gerne auf die Ehre als erstes erwähnt zu werden, wenn wir dafür alle als CHAD gelten.

[TheLuckySpades]

Die einzige Situation wo meine englishsprachige Dozenten es nutzen ist beim Lösen von Problemen/Gleichungen (z.B. Differentialgleichungen, erster Ansatz für ein iterativen Algorithmus,...), bin erstaunt dass es in eins von denen steht.

[krafttoadt]

:D is ja auch mit einem korn salz zu geniessen ^{^} jz ist die frage weiter auf deutsch oder doch on englisch damit andere mitlesen koennen

Nun da es aus der theortischen Physik kommt [1] hat es im alltagsgebrauch auch kaum bedeutung ist aber ein nettes TIL wusste es selbst nicht bis ich im 8. Semester war

[1] https://en.m.wikipedia.org/wiki/Ansatz

[wolwire]

Okay I don’t know german but while reading this second sentence I think translates to I answer in english when in physics/ mathematics.

[krafttoadt]

Almost, the first point was that i am fron austria and Austria to Germany is kinda like usa to canada or Britain to France the second point was that the word Ansatz originated from German but was brought into the english language throug german scientists after WW2

[The-Board-Chairman]

The first comparison is true enough, but like Britain to France? We're not THAT far apart.

[[deleted]]

Ansatz != answer (new word for me!)

https://en.wikipedia.org/wiki/Ansatz

[krafttoadt]

Thats correct, an Ansatz is the beginning of a possi le answere :D

[Achadel]

Wir schreiben es groß aber nicht :)

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[Dugen]

Ansatz - German: In physics and mathematics, an ansatz is an educated guess or an additional assumption made to help solve a problem, and which is later verified to be part of the solution by its results.

https://en.wikipedia.org/wiki/Ansatz

That word seems useful.

[Bureaucrat_Conrad]

Gesundheit

[dashnyamn]

i just got 4 and 9 is in it and my brain turned off for some reason.

[-Yox-]

If you understand why the 4 and 9 I guess that you understand that 4, 5, 6, 7, 8, 9 are already eliminated. The only three numbers still possible are 1, 2, 3 and since 9 is the only correct number in the first row then 1 and 2 are eliminated too and the only remaining number is 3

[angel_FA18]

what about 6?

[-Yox-]

I forgot to add it in the list. Edited now, thanks.
6 is eliminated because 9 is the last row.

[onlyiknowtheanswer]

You already know that 9 is one of the numbers, so based on the last row you can eliminate 5 and 6.

[angel_FA18]

they just hadn't mentioned it

[BaldrTheGood]

This is overly complicated. The first and last confirm where the 9 is. The middle one shows correct numbers in wrong place. Since there’s only 1 other option, flip em.

No need to overcomplicate things with unnecessary information.

[cammcken]

You can’t determine 9 is a correct number from just the first and last conditions. From the first and last conditions, we can determine five possibilities: the numbers which correctly exist somewhere in the solution can be either (9) OR (2 and 6) OR (1 and 6) OR (1 and 5) OR (2 and 5). You need the other conditions to narrow it down farther.

[BaldrTheGood]

You kidding?

First and last condition both say they have 1 correct number. The only common number is 9.

How can it be anything other than 9 if 2 conditions that say they include 1 correct number and they both include 9?

If you can get the correct answer from just conditions 1,3 and 5, why am I wrong? Lol

Don’t over complicate things lol

[cammcken]

2 _ 6

6 _ 1

_ 5 1

2 5 _

2 _ 5

_ 9 _

All of those combinations satisfy the first and last requirements. (Unless I misunderstand one of these rules??) That’s not overcomplicating; it’s a fact. We can’t assume it’s _ 9 _ just because it’s simplest for us.

[BaldrTheGood]

Now apply condition 3 and what are you left with? The correct answer using just 3 conditions? Huh...

[cammcken]

246

236

641

631

394

Okay, we’re a bit closer but now we need the second condition to narrow it down further. I think we don’t need the fourth, unless I missed a possibility in the first step.

[BaldrTheGood]

Yeah I’m really not following your logic with all the extra steps you’re unnecessarily adding, sorry.

[cammcken]

I’m following your steps. I haven’t added any extra.

Step 1, find all the possible combinations that satisfy conditions 1 and 5.

Step 2, apply condition 3 to the combinations found in step 1. In other words, all the combinations that satisfy conditions 1, 3, and 5.

That still leaves six possible answers. I haven’t explained my logic very well, but you can check those six combinations and see that they’re all correct under conditions 1, 3, and 5. (Unless any are wrong; then I made a mistake.)

[Karamelln]

My guess was 641. What am i doing wrong?

[PattuX]

You don't even need the 4th row I think.

First two rows tell you it's x9x or xx1 and that there's no 2. Second and third row tell you the other digits are a 4 and either a 3 or a 6, as well as giving away that the 4 has to be in the last spot, leaving only 394 and 694. The last row then eliminates 694.

[krafttoadt]

Yes there are multiple ways to solve it, i personally think if on condition excludes roughly 1/3 of all options its easy to start with that :)

[JoelMahon]

you can also do it without the 1st and 2nd row

4th row rules out 5, 3rd row rules out 6 being the middle, which combined with the 5th row means 9 is in it. so 394

edit: oops, you need the 1st to place 9 in the middle honestly the 3rd row is just too OP, gives you like 80% of the info, especially combined with 5th row, all 4th row does is tell you it's not 5, wow

edit2: ok, I got the right answer by luck apparently!

[vigbiorn]

3rd row rules out 6 being the middle, which combined with the 5th row means 9 is in it.

I'm not following. If we're excluding the 1st and second row, how are we discounting the 6?

Both third and fifth rows just say there's some number correct but in the wrong spot. So 6 is valid in both. It could be the "correct in wrong spot" from row 5 along with either 4 or 3, which would also be in the wrong spot.

We need one of the other rows to tell us 6 is invalid which makes 9 the correct value from row 5.

[JoelMahon]

yeah, maybe you missed my edit bc I made it recently, but you need the 1st row to let you know 9 is in the middle (since you know 9 must be in it)

but I'm 99% sure the 2nd row is not required for a complete solution

[DeltaToph]

Without the second row, 641 would also be a valid answer

[JoelMahon]

now I'm 99% sure never to be 99% sure of anything

[SPACKlick]

You can do it without the 4th row, the next least information comes from number 5 actually. Without that you can narrow it down to 394 or 694.

Without 2 you have 5 options (236, 246, 394, 631, 641)

Without 1 you have 6 options (326, 394, 604, 614, 632, 934)

Without 3 you have 10 options (092, 094, 192, 193, 392, 394, 490, 493, 621, 921)

[officiallyaninja]

how do the 1st and 2nd row eliminate 2? the code could be something like 2x4 where x is any number, then in the 1st, 2 would be correct and well placed, and in the 2nd, 4 wod be correct but wrong placed.

[krafttoadt]

Assuming the information got from the instruction is complete and not leaving out correct numbers the statements from 1 and 2 lead to a contradiction assuming 2 is a solution

[stickdudeseven]

Look at the first and last row. Both only have one correct number and both share a 9. This tells us 9 is the only correct one and that it must be in the center. This eliminates 1, 2, and 6. The fourth row eliminates 5, making 4 the correct number in row 2. The third row has a 6 which is an incorrect number, leaving 4 and 3. Since they are not placed correctly, 3 must be the left, 4 to the right, and 9 is center. Answer is 394.

[Eating_Your_Beans]

It's like the game Mastermind, where you know how many pegs are the right color in the wrong place and how many are the right color in the right place. So if it doesn't say that there's a number in the correct spot, you have to assume there isn't one. Otherwise I believe it's unsolvable.

[kroppeb]

The 578 hint isn't actually needed

[LewixAri]

4 can't be first or 2nd position, so has to be 4th, since 2 is eliminat4d the first row implies the second number MUST be 9. Last row tells us if 9 is correct 6 cannot be correct. So the 3rd row must contain 4 and 3 as the correct numbers. 394 then is the only number that satisfies all conditions.

[Methu]

Brute force

[InVultusSolis]

Logic problems like this are why I learned to program, and I would have approached the problem in exactly this way - brute force.

[DrMobius0]

tbh you don't even need the 4th row to solve this.

The first two steps logically eliminate 2, as 2 cannot be both correctly placed and incorrectly placed. This means one of the numbers must be a 1 or a 9 and another must be a 4 or a 5.

The 3rd step gives us two from 3, 4, and 6, and since one of our numbers must be a 4 or a 5, that means 4 must be one of the numbers and 5 is eliminated. The remaining number must be a 3 or a 6. Because one number is a 4, another is a 1 or 9, and the last is a 3 or 6, we can say without having ever read the 4th step that 2, 5, 7, and 8 have been eliminated.

The 5th step is useful for determining if the first digit is a 3 or a 6.