Can you solve the locker riddle? - Lisa Winer

Znate li da rešite zagonetku sa sandučićima? - Liza Vajner

Prevodilac: Mile Živković Lektor: Milenka Okuka

Your rich, eccentric uncle just passed away,

Vaš bogati, ekscentrični ujak je upravo preminuo

and you and your 99 nasty relatives have been invited to the reading of his will.

i vi i vaših 99 gadnih rođaka pozvani ste na iščitavanje testamenta.

He wanted to leave all of his money to you,

Hteo je da sav novac ostavi vama,

but he knew that if he did, your relatives would pester you forever.

ali znao je da ako to uradi, rođaci će vas zauvek gnjaviti.

So he is banking on the fact

Te se kladi na činjenicu

that he taught you everything you need to know about riddles.

da vas je naučio sve što treba da znate o zagonetkama.

Your uncle left the following note in his will:

Vaš ujak ostavio je ovu poruku u svom testamentu:

"I have created a puzzle.

"Stvorio sam zagonetku.

If all 100 of you answer it together, you will share the money evenly.

Ukoliko svih 100 vas odgovorite zajedno, podelićete novac na jednake delove.

However, if you are the first to find the pattern and solve the problem

Ipak, ukoliko budete prvi koji reši šablon i reši problem,

without going through all of the leg work,

bez svog tog silnog posla,

you will get the entire inheritance all to yourself.

dobićete sami celo nasledstvo.

Good luck."

Srećno."

The lawyer takes you and your 99 relatives to a secret room in the mansion

Advokat vodi vas i vaših 99 rođaka u tajnu sobu u vili

that contains 100 lockers,

koja ima 100 sandučeta,

each hiding a single word.

i svaki sadrži jednu reč.

He explains:

On objašnjava:

Every relative is assigned a number from 1 to 100.

svaki rođak dobija broj od 1 do 100.

Heir 1 will open every locker.

Naslednik 1 otvoriće svako sanduče.

Heir 2 will then close every second locker.

Naslednik 2 će onda zatvoriti svaku drugo sanduče.

Heir 3 will change the status of every third locker,

Naslednik 3 promeniće status svakog trećeg sandučeta,

specifically if it's open, she'll close it,

tj. ako je otvoren, zatvoriće ga,

but if it's closed, she'll open it.

ali ako je zatvoren, otvoriće ga.

This pattern will continue until all 100 of you have gone.

Šablon će se nastiviti dok se ne izređa svih 100 vas.

The words in the lockers that remain open at the end

Reči u sandučadima koji ostanu otvoreni na kraju

will help you crack the code for the safe.

pomoći će vam da rešite šifru na sefu.

Before cousin Thaddeus can even start down the line,

Pre nego rođak Tadeus može i da krene,

you step forward and tell the lawyer you know which lockers will remain open.

vi istupite i kažete advokatu da znate koja sandučad će da ostanu otvorena.

But how?

Ali kako?

Pause the video now if you want to figure it out for yourself!

[Pauzirajte video sada, ukoliko želite da saznate sami!]

Answer in: 3

[Odgovor za 3]

Answer in: 2

[Odgovor za 2]

Answer in: 1

[Odgovor za 1]

The key is realizing that the number of times a locker is touched

Ključ je u tome da shvatite da je broj puta koliko će neko dodirnuti sanduče,

is the same as the number of factors in the locker number.

isti kao broj faktora u broju sandučeta.

For example, in locker #6,

Na primer, za sanduče broj 6,

Person 1 will open it,

osoba 1 će ga otvoriti,

Person 2 will close it,

osoba 2 će ga zatvoriti,

Person 3 will open it,

osoba 3 će ga otvoriti

and Person 6 will close it.

i osoba 6 će ga zatvoriti.

The numbers 1, 2, 3, and 6 are the factors of 6.

Brojevi 1, 2, 3 i 6 faktori su broja 6.

So when a locker has an even number of factors

Tako da kada sanduče ima paran broj faktora,

it will remain closed,

ostaće zatvoren,

and when it has an odd number of factors,

a kada ima neparan broj faktora,

it will remain open.

ostaće otvoren.

Most of the lockers have an even number of factors,

Većina sandučića ima paran broj faktora,

which makes sense because factors naturally pair up.

što ima smisla jer faktori po prirodi idu u parovima.

In fact, the only lockers that have an odd number of factors

Zapravo, jedini sandučići koji imaju neparan broj faktora

are perfect squares

biće savršeni kvadrati

because those have one factor that when multiplied by itself equals the number.

jer oni imaju faktor koji kada se pomnoži sam sa sobom daje jednak broj.

For Locker 9, 1 will open it,

Za sanduče 9, 1 će ga otvoriti,

3 will close,

3 će je zatvoriti

and 9 will open it.

a 9 će je otvoriti.

3 x 3 = 9,

3 x 3 = 9,

but the 3 can only be counted once.

ali 3 se može računati samo jednom.

Therefore, every locker that is a perfect square will remain open.

Stoga će svako sanduče koje je savršen kvadrat ostati otvoreno.

You know that these ten lockers are the solution,

Znate da je rešenje u ovih deset sandučića,

so you open them immediately and read the words inside:

pa ih otvarate odmah i čitate reči unutar njih:

"The code is the first five lockers touched only twice."

"Šifra je prvih pet sandučića koja su dotaknuta samo dvaput."

You realize that the only lockers touched twice have to be prime numbers

Shvatate da su jedini sandučići dotaknuta dvaput, ona s prostim brojevima,

since each only has two factors:

pošto svaki ima samo dva faktora:

1 and itself.

1 i sam taj broj.

So the code is 2-3-5-7-11.

Šifra je onda 2-3-5-7-11.

The lawyer brings you to the safe,

Advokat vas vodi do sefa

and you claim your inheritance.

i preuzimate svoje nasledstvo.

Too bad your relatives were always too busy being nasty to each other

Šteta što su vaši rođaci uvek bili zauzeti time da budu loši jedni prema drugima

to pay attention to your eccentric uncle's riddles.

da bi obratili pažnju na zagonetke vašeg ekscentričnog ujaka.