Lightning calculation and other "mathemagic" | Arthur Benjamin

Prevoditelj: Ivan Voras Recezent: Marko Rakar

Good morning, ladies and gentlemen.

Dobro jutro dame i gospodo.

My name is Art Benjamin, and I am a "mathemagician."

Zovem se Arthur Benjamin i ja sam "matemagičar".

What that means is, I combine my loves of math and magic

Značenje toga je da kombiniram svoju ljubav za matematikom i mađioničarskim trikovima

to do something I call "mathemagics."

u nešto što zovem "matemagijom".

But before I get started, I have a quick question for the audience.

Ali prije nego započnem, imam kratko pitanje za publiku.

By any chance, did anyone happen

Da li je netko slučajno

to bring with them this morning a calculator?

ponio sa sobom kalkulator?

Seriously, if you have a calculator with you, raise your hand.

Ozbiljno, ako imate kalkulator kod sebe, dignite ruku, samo dignite ruku.

Raise your hand. Did your hand go up?

Mislio sam... vi ste digli ruku?

Now bring it out, bring it out. Anybody else?

Izvadite te ga, izvadite ga. Još netko?

I see, I see one way in the back.

Vidim, vidim nekog tamo iza.

You sir, that's three.

Vi gospodine... to je već tri.

And anybody on this side here?

Netko možda na ovoj strani?

OK, over there on the aisle.

OK, I vi tamo kraj prolaza. Možete li vas četvoro sa kalkulatorima

Would the four of you please bring out your calculators,

izvaditi ih i pridružiti mi se na pozornici?

then join me up on stage.

Let's give them a nice round of applause.

I dajmo ovim dobrovoljcima jedan lijepi pljesak!

(Applause)

(pljesak)

That's right.

Odlično. Sada, pošto nisam prije imao prilike

Now, since I haven't had the chance to work with these calculators,

koristiti ove vaše kalkulatore, moram provjeriti

I need to make sure that they are all working properly.

da li svi rade ispravno.

Would somebody get us started by giving us a two-digit number, please?

Molim nekoga da započne tako da nam kaže

jedan dvoznamenkasti broj?

How about a two-digit number?

Može jedan dvoznamenkasti broj?

Audience: 22.

Publika: 22.

AB: 22. And another two-digit number, sir?

Arthur Benjamin: 22. I može još jedan dvoznamenkasti broj gospodine?

Audience: 47.

Publika: 47.

AB: Multiply 22 times 47, make sure you get 1,034,

AB: Pomnožite kalkulatorima 22 puta 47, provjerite da li ste dobili 1,034

or the calculators are not working.

jer ako niste, kalkulatori vam ne rade. Da li su svi dobili 1,034? 1,034?

Do all of you get 1,034? 1,034?

Volunteer: No.

Žena: Ne.

AB: 594. Let's give three of them a nice round of applause there.

AB: 594. Dajmo im svim jedan pljesak ovdje!

(Applause)

(pljesak)

Would you like to try a more standard calculator, just in case?

Želite li možda neki običniji kalkulator za svaki slučaj?

Ok, super.

OK, great.

What I'm going to try and do then --

Želim pokušati nešto --

I notice it took some of you a little bit of time to get your answer.

Primjećujem da je nekima od vas trebalo vremena da dođete do rješenja.

That's OK.

To je OK. Dati ću vam prečac za množenje

I'll give you a shortcut for multiplying even faster on the calculator.

koje će na kalkulatorima biti brže.

There is something called the square of a number,

Postoji nešto zvano "kvadrat broja,"

which most of you know is taking a number and multiplying it by itself.

za što većina vas zna da je broj

pomnožen sa samim sobom.

For instance, five squared would be?

Na primjer, pet na kvadrat bi bilo?

Audience: 25.

Publika: 25.

AB: 25. The way we can square on most calculators --

AB: 25. Pogledajte, način na koji možemo kvadrirati brojeve na većini kalkulatora --

let me demonstrate with this one --

da vam pokažem na ovome --

is by taking the number, such as five,

je da upišemo broj, na primjer pet,

hitting "times" and then "equals,"

pritisnemo "puta" i onda "jednako,"

and on most calculators that will give you the square.

što će na većini kalkulatora dati kvadrat broja.

On some of these ancient RPN calculators,

Na nekim starim RPN kalkulatorima,

you've got an "x squared" button on it,

postoji posebna naredba "x na kvadrat",

will allow you to do the calculation even faster.

koja vam omogućuje da izračunate ovo još brže.

What I'm going to try and do now is to square, in my head,

Ono što ću sada pokušati je kvadrirati, napamet

four two-digit numbers

četiri dvoznamenkasta broja

faster than they can do on their calculators,

brže nego što oni mogu na svojim kalkulatorima, čak i sa ovom bržom metodom.

even using the shortcut method.

What I'll use is the second row this time,

Sada ću koristiti drugi red, i vas četvoro --

and I'll get four of you

jedan, dva, tri, četiri -- ćete mi doviknuti dvoznamenkasti broj,

to each yell out a two-digit number,

and if you would square the first number,

a vi ćete kvadrirati prvi broj,

and if you would square the second, the third and the fourth,

i vi ćete kvadrirati drugi broj, pa treći i četvrti,

a ja ću se utrkivati s vama tko će brže do rješenja. OK?

I will try and race you to the answer. OK?

So quickly, a two-digit number please.

Pa brzo -- molim jedan dvoznamenkasti broj.

Audience: 37.

Publika: 37.

Arthur Benjamin: 37 squared, OK.

AB: 37 na kvadrat, OK.

Audience: 23.

Publika: 23.

AB: 23 squared, OK.

AB: 23 na kvadrat, OK.

Audience: 59.

AB: 59 squared, OK, and finally?

Publika: 59.

AB: 59 na kvadrat, OK, i na kraju?

Audience: 93.

Publika: 93.

AB: 93 squared.

Would you call out your answers, please?

AB: 93 na kvadrat. Hoćete li molim vas reći vaša rješenja?

Volunteer: 1369. AB: 1369.

Žena: 1369. AB: 1369.

Volunteer: 529. AB: 529.

Žena: 529.

AB: 529.

Volunteer: 3481. AB: 3481.

Muškarac: 3481.

AB: 3481.

Volunteer: 8649.

Muškarac: 8649.

AB: Thank you very much.

AB: Puno hvala svima!

(Applause)

(pljesak)

Let me try to take this one step further.

Dopustite mi da ovo dovedem korak dalje.

I'm going to try to square some three-digit numbers this time.

Ovaj put ću pokušati kvadrirati troznamenkaste brojeve.

I won't even write these down --

Ove neću niti zapisati.

I'll just call them out as they're called out to me.

Samo ću izvikavati rezultate kada čujem brojeve.

Anyone I point to, call out a three-digit number.

Molio bih da oni u publici u koje pokažem doviknu troznamenkasti broj

Anyone on our panel, verify the answer.

Neka netko od izabranih provjeri rezultat na kalkulatoru.

Just give some indication if it's right.

Samo recite da li je točan.

A three-digit number, sir, yes?

Gospodine, može troznamenkasti broj?

Audience: 987.

Publika: 987.

AB: 987 squared is 974,169.

AB: 987 na kvadrat je 974,169

(Laughter)

(smijeh)

AB: Yes? Good.

Je? Dobro.

Another three-digit --

Slijedeći, slijedeći troznamenkasti --

(Applause)

(pljesak)

-- slijedeći troznamenkasti broj gospodine?

-- another three-digit number, sir?

Audience: 457.

Publika: 457.

AB: 457 squared is 205,849.

AB: 457 na kvadrat je 205,849.

205,849?

205,849?

AB: Yes?

Je?

OK, another, another three-digit number, sir?

OK, slijedeći, slijedeći troznamenkasti broj gospodine?

Audience: 321.

AB: 321 is 103,041.

Publika: 321.

AB: 321 je 103,041... 103,041.

103,041.

Je? Još jedan troznamenkasti broj molim.

Yes? One more three-digit number please.

Publika: Oh, 722.

Audience: Oh, 722.

AB: 722 is 500, that's a harder one.

AB: 722 je 500 -- uh taj je teži

Is that 513,284?

Možda je 513,284?

Volunteer: Yes.

Žena: Je.

AB: Yes? Oh, one more, one more three-digit number please.

AB: Je? Oh molim još jedan, još jedan troznamenkasti broj?

Audience: 162.

Publika: 162.

162 squared is 26,244.

162 na kvadrat je 26,244.

Volunteer: Yes.

Puno vam hvala!

Thank you very much.

(Applause)

(pljesak)

(Applause ends)

Let me try to take this one step further.

Dopustite da odem još dalje s ovim.

(Laughter)

(smijeh)

I'm going to try to square a four-digit number this time.

Ovaj puta ću pokušati kvadrirati četveroznamenkasti broj.

You can all take your time on this;

Ne morate se žuriti s ovima; neću moći biti brži od vas,

I will not beat you to the answer on this one,

ali pokušati ću doći do točnog odgovora.

but I will try to get the answer right.

Da uvedemo još malo slučajnosti, sada ćemo uzeti četvrti red publike,

To make this a little bit more random, let's take the fourth row this time,

recimo jedan, dva, tri, četiri.

let's say, one, two, three, four.

If each of you would call out a single digit between zero and nine,

Ako svatko od vas kaže jednu znamenku od nula do devet,

to će biti četveroznamenkasti broj koji ću kvadrirati.

that will be the four-digit number that I'll square.

Publika: Devet.

Nine.

AB: Devet.

Seven.

Publika: Sedam. AB: Sedam.

Five.

Publika: Pet, AB: Pet.

Publika: Osam, AB: Osam.

Eight.

9,758, this will take me a little bit of time, so bear with me.

9,758, ovo će malo potrajati pa budite strpljivi.

95 million --

95,218,564?

(Sighs)

218,564?

Volunteer: Yes!

Žena: Da.

AB: Thank you very much.

AB: Puno vam hvala!

(Applause)

(pljesak)

(Applause ends)

Now, I would attempt to square a five-digit number --

Sada bi pokušao kvadrirati peteroznamenkasti broj --

and I can --

i mogu to --

but unfortunately, most calculators cannot.

ali nažalost većina kalkulatora ne može.

(Laughter)

(smijeh)

Eight-digit capacity -- don't you hate that?

Kalkulatori s osam znamenaka - ne mrzite li to?

So, since we've reached the limits of our calculators --

Pa kako smo došli do granica mogućnosti naših kalkulatora --

what's that?

što ste rekli? Da li vaš ide do --

Does yours go higher?

Žena: ne znam.

AB: da li vaš ima više?

Volunteer: I don't know.

AB: Oh, yours does?

Oh -- vaš ide?

Volunteer: I can probably do it. AB: I'll talk to you later.

Muškarac: Vjerojatno bi mogao.

AB: Pričati ću s vama kasnije.

In the meanwhile, let me conclude

U međuvremenu, završio bih

the first part of my show by doing something a little trickier.

prvi dio mog nastupa sa nečim malo težim.

Let's take the largest number on the board here, 8649.

Uzmimo najveći broj na ovoj ploči, 8649.

Would you each enter that on your calculator?

Hoćete ga molim upisati u kalkulatore?

And instead of squaring it this time,

I sada umjesto da ga kvadrirate,

I want you to take that number and multiply it

želim da taj broj pomnožite

by any three-digit number that you want,

sa bilo kojim troznamenkastim brojem koji želite,

but don't tell me what you're multiplying by --

ali nemojte mi reći s čim ga množite --

just multiply it by any random three-digit number.

Samo ga pomnožite sa bilo kojim troznamenkastim brojem.

So you should have as an answer either

Vaš rezultati bi trebao biti ili

a six-digit or probably a seven-digit number.

ili šesteroznamenkasti ili vjerojatno sedmeroznamenkasti broj.

How many digits do you have, six or seven?

Koliko brojki imate, šest ili sedam?

Seven, and yours?

Sedam, a vi? Žena: Sedam.

Seven? Seven?

AB: Sedam? Sedam?

I možda.

And, uncertain.

Seven.

Muškarac: Da.

Is there any possible way that I could know

AB: Sedam. Ima li neki način na koji bi mogao znati

what seven-digit numbers you have?

kojih sedam brojeva imate? Recite "Ne."

Say "No."

(Laughter)

(smijeh)

Good, then I shall attempt the impossible --

Dobro. Sada ću pokušati nemoguće --

or at least the improbable.

ili barem nevjerojatno.

What I'd like each of you to do is to call out for me

Želim da mi svatko od vas dovikne

any six of your seven digits, any six of them,

bilo kojih šest od vaših sedam znamenaka, bilo kojih šest,

in any order you'd like.

u bilo kojem redoslijedu.

(Laughter)

(smijeh)

Jednu po jednu znamenku, a ja ću pokušati pogoditi koju znamenku ste izostavili.

One digit at a time,

I shall try and determine the digit you've left out.

Počevši sa vašim sedmeroznamenkastim brojem,

Starting with your seven-digit number,

molim recite bilo kojih šest.

call out any six of them please.

Volunteer: 1, 9, 7, 0, 4, 2.

Žena: Jedan, OK, 197042.

AB: Did you leave out the number 6?

AB: Jeste izostavili šest?

Good, OK, that's one.

Žena: Da, AB: Dobro, OK, to je prvi

You have a seven-digit number, call out any six of them please.

Vi imate sedmeroznamenkasti broj, izvikujte bilo kojih šest znamenki.

Žena: 44875.

Volunteer: 4, 4, 8, 7, 5.

AB: Mislim da sam čuo samo pet znamenki. Mislim -- čekajte -- 44875 --

I think I only heard five numbers. I -- wait -- 44875 --

did you leave out the number 6?

jeste izostavili broj 6?

Same as she did, OK.

Žena: Da. AB: Isto kao i ona, OK. Vi imate semeroznamenkasti broj --

You've got a seven-digit number --

izvikujte bilo kojih šest jasno i glasno.

call out any six of them loud and clear.

Volunteer: 0, 7, 9, 0, 4, 4.

Muškarac: 079044.

I think you left out the number 3?

AB: Mislim da ste izostavili 3?

AB: That's three.

To je tri. Vjerojatnost da sam pogađao ove četiri znamenke umjesto računanja je

The odds of me getting all four of these right by random guessing

jedan u 10,000: 10 na četvrtu

would be one in 10,000: 10 to the fourth power.

OK, any six of them.

OK, bilo kojih šest

(Laughter)

Really scramble them up this time, please.

Molim da ih stvarno stavite u slučajni redoslijed ovaj put.

Volunteer: 2, 6, 3, 9, 7, 2.

Čovjek: 263972.

Did you leave out the number 7?

Jeste izostavili sedam?

And let's give all four of these people a nice round of applause.

I dajmo im svim jedan lijepo pljesak!

Hvala puno svima.

Thank you very much.

(Applause)

(Applause ends)

Za slijedeću točku --

For my next number --

(Laughter)

(smijeh)

while I mentally recharge my batteries,

dok mentalno napunim baterije

Imam još jedno pitanje za publiku.

I have one more question for the audience.

By any chance, does anybody here happen to know

Zna li netko ovdje slučajno

the day of the week that they were born on?

u kojem danu u tjednu je rođen?

If you think you know your birth day, raise your hand.

Ako mislite da znate svoj dan rođenja, dignite ruku.

Let's see, starting with -- let's start with a gentleman first.

Da vidim, počinjemo sa -- idemo započeti prvo sa gospodinom,

What year was it, first of all?

OK gospodine, prvo recite koja je godina? Zato porvo počinjem s gospodinom.

That's why I pick a gentleman first.

Koja godina?

Audience: 1953.

Publika: 1953.

1953, and the month?

AB: 1953, a mjesec?

November what?

Publika: Studeni. AB: Kojeg studenog?

Publika: 23.

23rd -- was that a Monday?

AB: 23. -- je li to bio ponedjeljak? Publika: Da.

Audience: Yes.

Da, dobro, još netko? Tko bi još htio --

Good. Somebody else?

I haven't seen any women's hands up.

vidite nema -- nisam još vidio da žene dižu ruke.

OK, how about you, what year?

OK, to je -- možemo vas, koja godina?

1949, and the month?

Publika: 1949. AB: 1949, a mjesec?

October what?

Publika: Listopad. AB: Listopad koji?

Publika: Petog.

Fifth -- was that a Wednesday?

AB: Peti -- je li to bila srijeda?

Yes! I'll go way to the back right now, how about you?

Da, moja -- Sada ću nekoga odozada, možda vi?

Yell it out, what year?

Vičite, koja godina? Publika: 1959.

Audience: 1959.

1959, OK -- and the month?

AB: 1959, OK -- a mjesec?

Veljača.

Audience: February.

February what?

Kojeg veljače?

Sixth -- was that a Friday? Audience: Yes.

AB: Šestog -- je li to bio Petak? Publika: Da.

Good, how about the person behind her?

Dobro, može sada osoba iza nje?

Call out, what year was it?

Recite -- recite -- koja je bila godina?

Audience: 1947. AB: 1947, and the month?

Publika: 1947. AB: 1947, a mjesec?

Audience: May. AB: May what?

Publika: Svibanj. AB: Koji svibnja?

Seventh -- would that be a Wednesday?

Publika: Sedmog. AB: Sedmi -- to bi bila srijeda?

Audience: Yes. AB: Thank you very much.

Publika: Da.

AB: Puno hvala!

(Applause)

(pljesak)

Anybody here who'd like to know the day of the week they were born?

Želi li netko ovdje znati kojeg dana u tjednu je rođen?

We can do it that way.

Možemo i tako.

Of course, I could just make up an answer and you wouldn't know,

Naravno, mogao bih izmisliti odgovor i ne biste primjetili,

pa sam došao pripremljen.

so I come prepared for that.

I brought with me a book of calendars.

Donio sam knjigu kalendara

It goes as far back into the past as 1800, because you never know.

Ima podatke sve do 1800. jer nikad se ne zna

(Laughter)

(smijeh)

I didn't mean to look at you, sir -- you were just sitting there.

Nisam namjerno gledao u vas gospodine --

Slučajno ste sjedili ovdje.

(Laughter)

Anyway, Chris, you can help me out here, if you wouldn't mind.

Bilo kako bilo, Chris, možeš mi pomoći ovdje?

This is a book of calendars.

Ovo je knjiga s kalendarima i pitati ću --

Who wanted to know their birth day?

tko je ono bio da je htio znati svoj dan rođenja? Vi gospodine? OK.

What year was it, first of all?

Prvo recite koja je to bila godina?

Audience: 1966.

Publika: 1966.

66 -- turn to the calendar with 1966.

AB: 66.-ta -- okreni na kalendar od 1966. --

And what month?

i koji mjesec?

Audience: April. AB: April what?

Publika: Travanj. AB: Travanj koji?

Audience: 17th.

Publika: 17. AB: 17. -- mislim da je to bila nedjelja.

I believe that was a Sunday.

Can you confirm, Chris?

Chris, možeš li potvrditi?

Chris Anderson: Je. AB: Da, OK. Recimo ovako, Chris:

Chris Anderson: Yes.

AB: I'll tell you what, Chris:

kada već držiš tu knjigu ispred sebe,

as long as you have that book in front of you,

do me a favor, turn to a year outside of the 1900s,

napravi mi uslugu, okreni na godinu izvan 1900tih

either into the 1800s or way into the 2000s --

ili u 1800te ili skroz u 2000te --

that'll be a much greater challenge for me.

tako će mi biti veći izazov

AB: What year would you like? CA: 1824.

Koju godinu bi ti htio?

CA: 1824

AB: 1824, OK.

AB: 1824, OK

AB: And what month?

i koji mjesec? CA: Lipanj.

CA: June.

AB: Lipanj koji? CA:: šestog.

AB: June what? CA: Sixth.

AB: Was that a Sunday?

AB: Šesti -- to je bila nedjelja?

CA: It was. AB: And it was cloudy.

CA: bila je. AB: I bilo je oblačno.

(Laughter)

Good, thank you very much.

Odlično, puno hvala!

(Applause)

(pljesak)

(Applause ends)

But I'd like to wrap things up now

Ali htio bih sada završiti

by alluding to something from earlier in the presentation.

pozivajući se na nešto

ranije u mojoj prezentaciji.

There was a gentleman up here who had a 10-digit calculator.

Bio je gospodin sa kalkulatorom sa deset znamenaka.

Where is he, would you stand up,

Gdje je, možete li ustati?

10-digit guy?

Čovjek s 10 znamenki?

OK, stand up for me just for a second,

Ok, možete li mi nakratko ustati,

so I can see where you are.

da vidim gdje ste.

You have a 10-digit calculator, sir, as well?

OK, oh, OK -- vi isto imate kalkulator s 10 znamenki?

OK, what I'm going to try and do, is to square in my head

OK, ono što ću pokušati napraviti je kvadrirati napamet

a five-digit number requiring a 10-digit calculator.

broj sa pet znamenki, za što je potreban kalkulator s 10 znamenki.

But to make my job more interesting for you, as well as for me,

Ali da to bude zanimljivije za vas i za mene,

I'm going to do this problem thinking out loud.

ovo ću riješiti

govoreći što mislim.

So you can actually, honestly hear

Tako da možete zapravo čuti

what's going on in my mind while I do a calculation of this size.

što se događa u mojoj glavi

dok računam ovako veliki broj.

Now, I have to apologize to our magician friend Lennart Green.

Sad, morao bih se ispričati našem mađioničaru Lennartu Greenu,

I know as a magician we're not supposed to reveal our secrets,

jer znam da kao mađioničar ne bi trebao odavati naše tajne,

but I'm not too afraid

ali ne bojim se previše da će ljudi

that people are going to start doing my show next week, so --

početi izvoditi moju točku slijedeći tjedan pa--

I think we're OK.

mislim da je to OK.

(Laughter)

(Applause)

So, let's see,

Pa da vidimo, uzmimo --

let's take a different row of people, starting with you.

uzmimo neki drugi red ljudi, počevši od vas.

I'll get five digits: one, two, three, four.

Dobiti ću pet znamenki: jedan, dva, tri, četiri --

Oh, I did this row already.

a, vas sam već pitao. Uzmimo red prije vas,

Let's do the row before you,

starting with you: one, two, three, four, five.

počevši od vas gospodine: jedan, dva, tri, četiri, pet.

Call out a single digit --

Izvikujte jednu znamenku -- biti će to peteroznamenkasti broj

that will be the five-digit number that I will try to square, go ahead.

kojeg ću pokušati kvadrirati. Počnite.

Publika: Pet, AB: Pet.

Five.

Seven.

Publika: Sedam. AB: Sedam.

Publika: Šest. AB: Šest.

Six.

Publika: Osam. AB: Osam.

Eight.

Three.

Publika: Tri. AB: Tri.

57,683 --

57,683

squared.

Yuck.

na kvadrat. Bljak.

Let me explain to you how I'm going to attempt this problem.

Da vam objasnim kako

ću pokušati riješiti taj problem.

I'm going to break the problem down into three parts.

Razdijeliti ću ga u tri dijela.

I'll do 57,000 squared,

Prvo ću kvadrirati 57,000,

plus 683 squared,

plus 683 na kvadrat,

plus 57,000 times 683 times two.

plus 57,000 puta

683 puta 2.

Add all those numbers together,

Zbrojite sve te brojeve zajedno,

and with any luck, arrive at the answer.

iz uz nešto sreće dođete do rezultata.

Now, let me recap.

Ponovimo.

(Laughter)

Thank you.

Hvala.

(Laughter)

While I explain something else --

Da vam još nešto objasnim --

(Laughter)

-- I know, that you can use, right?

-- znam, nešto što ćevam koristiti, jeli?

(Laughter)

While I do these calculations,

Dok računam,

you might hear certain words,

možda ćete čuti neke riječi,

koje nisu brojevi, kako dolaze usred računanja.

as opposed to numbers, creep into the calculation.

Let me explain what that is.

Objasniti ću vam o čemu se radi.

This is a phonetic code,

To je fonetski kod,

a mnemonic device that I use,

mnemonički način pamćenja kojeg koristim,

that allows me to convert numbers into words.

koji mi dozvoljava da pretvorim brojeve u riječi.

I store them as words, and later on retrieve them as numbers.

Pamtim ih kao riječi i kasnije vraćam kao brojeve.

I know it sounds complicated; it's not.

Znam da zvuči komplicirano ali nije.

I don't want you to think you're seeing something out of "Rain Man."

Samo ne bi htio da mislite da gledate nešto kao u "Kišnom čovjeku."

(smijeh)

(Laughter)

There's definitely a method to my madness --

Sigurno ima plana u mojoj ludosti --

definitely, definitely.

Sigurno, sigurno. Ispričavam se.

Sorry.

(Laughter)

(smijeh)

If you want to talk to me about ADHD afterwards,

Ako želite kasnije pričati samnom o ADHD-u,

you can talk to me then.

možemo o tome kasnije. U redu --

By the way, one last instruction,

naposlijetku, zadnja uputa

for my judges with the calculators --

za moje sudce sa kalkulatorima -- OK, znate koji ste --

you know who you are --

postoji barem 50% šanse

there is at least a 50 percent chance that I will make a mistake here.

da ću negdje pogriješiti.

If I do, don't tell me what the mistake is;

Ako pogriješim, nemojte mi reći gdje je greška;

just say, "you're close," or something like that,

samo recite "blizu ste" ili nešto slično, i pokušati ću sam doći do rješenja --

and I'll try and figure out the answer --

što će biti vrlo zabavno ako se dogodi.

which could be pretty entertaining in itself.

If, however, I am right,

S druge strane, ako sam u pravu,

whatever you do, don't keep it to yourself, OK?

nemojte to ni slučajno tajiti, OK?

(Laughter)

(smijeh)

Make sure everybody knows that I got the answer right,

Budite sigurni da svi znaju da sam točno izračunao, u redu?

jer to mi je veliko finale, OK.

because this is my big finish, OK.

So, without any more stalling,

Pa bez daljnjeg odugovlačenja,

here we go.

krenimo.

I'll start the problem in the middle, with 57 times 683.

Početi ću sa problemom u sredini, sa 57 puta 683.

Sad, 57 puta 68 je 3,400, plus 476 je 3876,

57 times 68 is 3,400, plus 476 is 3876,

to je 38,760 plus 171,

that's 38,760 plus 171,

38,760 plus 171 is 38,931.

38,760 plus 171 je 38,931,

38,931; double that to get 77,862.

38,931; duplo od toga je 77,862.

77,862 becomes cookie fission,

77,862 je "cookie" i "fission",

cookie fission is 77,822.

"cookie fission" je 77,822.

That seems right, I'll go on. Cookie fission, OK.

To mi izgleda dobro, pa ću nastaviti. "Cookie fission", OK

Next, I do 57 squared, which is 3,249, so I can say,

Slijedeće, 57 na kvadrat je 3,249, pa mogu reći,

three billion.

tri milijarde. Uzmimo 249, dodamo to u "cookie", 249,

Take the 249, add that to cookie, 249,

oops, but I see a carry coming --

oops, vidim da će mi doći prelijev --

249 --

249 --

add that to cookie, 250 plus 77,

dodaj to u "ookie", 250 plus 77,

is 327 million --

je 327 miliona --

fission, fission, OK, finally, we do 683 squared,

"fission", "fission", OK, na kraju kvadriramo 683,

that's 700 times 666, plus 17 squared

to je 700 puta 666 plus 17 na kvadrat

is 466,489, rev up if I need it,

je 466,489, treba mi to brže,

rev up, take the 466,

brže, uzmi 466,

add that to fission, to get,

dodaj u "fission" i dobiješ

a da --

oh gee --

328,489.

328,489.

Audience: Yeah! AB: Good.

Publika: Je!

AB: Dobro.

Thank you very much.

(pljesak)

(Applause)

Puno vam hvala!

I hope you enjoyed mathemagics.

Nadam se da ste uživali u matemagici. Hvala vam.

Thank you.

(Applause)

(pljesak)