Lightning calculation and other "mathemagic" | Arthur Benjamin

Prevodilac: Elizabeta Petrovic Lektor: Ivana Korom

Good morning, ladies and gentlemen.

Dobro jutro, dame i gospodo.

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

Zovem se Artur Bendžamin i ja sam "matemagičar".

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

To znači da kombinujem svoju ljubav za matematikom sa magijom

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 pre nego što počnem, imam kratko pitanje za publiku.

By any chance, did anyone happen

Da li je neko slučajno

to bring with them this morning a calculator?

poneo ovog jutra sa sobom digitron?

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

Ozbiljno, ako imate digitron kod sebe, podignite ruku, podignite ruku.

Raise your hand. Did your hand go up?

Ja - sam - vi ste digli ruku?

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

Izvadite ga, izvadite ga. Još neko?

I see, I see one way in the back.

Vidim, vidim jednu skroz iza.

You sir, that's three.

Vi gospodine, to je 3.

And anybody on this side here?

Neko na ovoj strani ovde?

OK, over there on the aisle.

Ok, vi tamo pored prolaza. Možete li vas četvoro sa digitronima

Would the four of you please bring out your calculators,

da ih donesete i pridružite mi se na pozornici?

then join me up on stage.

Let's give them a nice round of applause.

I dajmo ovim dobrovoljcima lep aplauz.

(Applause)

(Aplauz)

That's right.

U redu. Sada, pošto nisam imao priliku

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

da radim s ovim digitronima, moram da se uverim

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

da rade ispravno.

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

Može li neko da počne dajući nam

dvocifreni broj, molim?

How about a two-digit number?

Može jedan dvocifreni broj?

Audience: 22.

Publika: 22.

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

Arthur Benjamin: 22. I još jedan dvocifreni broj, gospodine?

Audience: 47.

Publika: 47.

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

Pomnožite 22 sa 47, proverite da li ste dobili 1034,

or the calculators are not working.

ili digitroni ne rade. Da li ste svi dobili 1034? 1034?

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.

594. Dajmo za ovo troje jedan lepi aplauz?

(Applause)

(Aplauz)

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

Želite li možda neki običniji digitron za svaki slučaj?

Ok, super?

OK, great.

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

Ono što ću pokušati i uraditi je -

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

Primećujem da je nekima od vas trebalo vremena da dođete do rešenja.

That's OK.

To je ok. Daću vam prečicu za množenje

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

na digitronima koje će biti brže.

There is something called the square of a number,

Postoji nešto što se zove kvadrat broja,

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

za šta većina od vas zna da je to množenje broja

sa samim sobom.

For instance, five squared would be?

Na primer, 5 na kvadrat je?

Audience: 25.

Publika: 25

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

25. Sada, način na koji možemo da kvadriramo brojeve na većini digitrona--

let me demonstrate with this one --

pokazaću na ovom --

is by taking the number, such as five,

je da upišemo broj, na primer 5,

hitting "times" and then "equals,"

pritisnemo "puta" i onda "jednako",

and on most calculators that will give you the square.

i većina digitrona će vam dati kvadrat.

On some of these ancient RPN calculators,

Na nekim starim RPN digitronima,

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

postoji 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 da kvadriram, napamet

four two-digit numbers

4 dvocifrena broja

faster than they can do on their calculators,

brže nego što oni mogu na svojim digitronima, 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 -- doviknite mi dvocifreni broj,

to each yell out a two-digit number,

and if you would square the first number,

a vi kvadrirajte prvi broj,

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

a vi drugi, pa treći i četvrti,

a ja ću se utrkivati sa vama ko će brže do rešenja. Ok?

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

So quickly, a two-digit number please.

Pa brzo -- molim jedan dvocifreni broj.

Audience: 37.

Publika: 37.

Arthur Benjamin: 37 squared, OK.

37 na kvadrat, ok.

Audience: 23.

Publika: 23.

AB: 23 squared, OK.

23 na kvadrat, ok.

Audience: 59.

AB: 59 squared, OK, and finally?

Publika: 59.

59 na kvadrat, ok i konačno?

Audience: 93.

Publika: 93.

AB: 93 squared.

Would you call out your answers, please?

93 na kvadrat. Hoćete li mi reći vaša rešenja, molim?

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: Hvala vam mnogo.

(Applause)

(Aplauz)

Let me try to take this one step further.

Dopustite mi da pomerim ovo za jedan korak dalje.

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

Ovaj put ću pokušati da kvadriram trocifrene brojeve.

I won't even write these down --

I neću ih ni zapisati.

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

Samo ću viknuti rezultate kada čujem brojeve.

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

Oni na koje pokažem, doviknite trocifreni broj.

Anyone on our panel, verify the answer.

Neka sa ove strane neko to potvrdi.

Just give some indication if it's right.

Samo dajte naznaku ako je tačno.

A three-digit number, sir, yes?

Trocifreni broj, gospodine, da?

Audience: 987.

Publika: 987.

AB: 987 squared is 974,169.

987 na kvadrat je 974169.

(Laughter)

(Smeh)

AB: Yes? Good.

Da? Dobro.

Another three-digit --

Drugi, sledeći trocifreni broj --

(Applause)

(Aplauz)

-- još jedan trocifreni broj, gospodine?

-- another three-digit number, sir?

Audience: 457.

Publika: 457.

AB: 457 squared is 205,849.

457 na kvadrat je 205849.

205,849?

205849?

AB: Yes?

Da?

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

Ok, sledeći, sledeći trocifreni broj, gospodine?

Audience: 321.

AB: 321 is 103,041.

Publika: 321.

321 je 103041. 103041.

103,041.

Da? Još jedan trocifreni broj molim.

Yes? One more three-digit number please.

Publika: Oh, 722.

Audience: Oh, 722.

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

722 je 500 -- ooh, ovo je teže.

Is that 513,284?

Je li 513284?

Volunteer: Yes.

Žena: Da?

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

AB: Da? Oh, još jedan, još jedan trocifreni broj molim.

Audience: 162.

Publika: 162.

162 squared is 26,244.

162 na kvadrat je 26244.

Volunteer: Yes.

Hvala vam mnogo.

Thank you very much.

(Applause)

(Aplauz)

(Applause ends)

Let me try to take this one step further.

Dopustite da odem još dalje s ovim.

(Laughter)

(Smeh)

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

Pokušaću da kvadriram četvorocifreni broj ovoga puta.

You can all take your time on this;

Ne morate da žurite s ovim; ne mogu da budem brži od vas,

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

ali pokušaću da pogodim tačan odgovor.

but I will try to get the answer right.

Da uvedemo još malo slučajnosti, sada ćemo uzeti 4. 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 svako od vas vikne jednu cifru od nula do devet,

to bi bio četvorocifreni broj koji ću da kvadriram.

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

Publika: 9.

Nine.

9.

Seven.

Publika: 7. AB: 7.

Five.

Publika: 5. AB: 5.

Publika: 8. AB: 8.

Eight.

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

9758, ovo će malo duže da potraje, tako da budite sa mnom.

95 million --

95 218 564?

(Sighs)

218,564?

Volunteer: Yes!

Žena: Da.

AB: Thank you very much.

Hvala vam mnogo.

(Applause)

(Aplauz)

(Applause ends)

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

Sada bih pokušao da kvadriram petocifreni broj --

and I can --

i mogu --

but unfortunately, most calculators cannot.

ali nažalost mnogi digitroni ne mogu.

(Laughter)

(Smeh)

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

Kapacitet od 8 cifrara -- zar ne mrzite to?

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

Pa kako smo došli do granica naših digitrona --

what's that?

molim? Da li vaš ide do --

Does yours go higher?

Žena: Ne znam.

Da li vaš ide više?

Volunteer: I don't know.

AB: Oh, yours does?

Oh -- ide?

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

Muškarac: Verovatno mogu to da uradim.

Pričaću sa 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 deo 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 li molim vas da ga ukucate u digitrone?

And instead of squaring it this time,

I sada umesto da ga kvadrirate,

I want you to take that number and multiply it

hoću da ga pomnožite

by any three-digit number that you want,

sa bilo kojim trocifrenim brojem,

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

ali nemojte da mi kažete s kojim--

just multiply it by any random three-digit number.

samo pomnožite sa bilo kojim trocifrenim brojem.

So you should have as an answer either

Rezultat je ili

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

šestocifreni ili sedmocifreni broj.

How many digits do you have, six or seven?

Koliko cifara imate, 6 ili 7?

Seven, and yours?

7, a vi? Žena: 7.

Seven? Seven?

7? 7?

I možda.

And, uncertain.

Seven.

Muškarac: Da.

Is there any possible way that I could know

7. Postoji li mogućnost da bih mogao da znam

what seven-digit numbers you have?

kojih 7 brojeva imate? Recite "Ne".

Say "No."

(Laughter)

(Smeh)

Good, then I shall attempt the impossible --

Dobro. Onda ću da probam nemoguće--

or at least the improbable.

ili bar neverovatno.

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

Želim da mi svako od vas dovikne

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

bilo kojih 6 od 7 cifara koje imate, bilo kojih 6,

in any order you'd like.

u bilo kom redosledu.

(Laughter)

(Smeh)

Jednu po jednu cifru, a ja ću pokušati da pogodim koju ste cifru izostavili.

One digit at a time,

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

Pa, počevši sa vašim sedmocifrenim brojem,

Starting with your seven-digit number,

molim recite bilo kojih 6.

call out any six of them please.

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

Žena: 1, ok, 197042.

AB: Did you leave out the number 6?

Da li ste izostavili broj 6?

Good, OK, that's one.

Žena: Da. AB: Dobro, ok, to je jedan.

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

Vi imate sedmocifreni broj, viknite bilo kojih 6 od 7?

Žena: 44875.

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

Mislim da sam čuo samo 5 brojeva. Ja - čekajte - 44875 -

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

did you leave out the number 6?

da li ste izostavili broj 6?

Same as she did, OK.

Žena: Da. AB: Isto kao ona, ok. Vi imate sedmocifreni broj -

You've got a seven-digit number --

viknite bilo kojih 6 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?

Mislim da ste izostavili broj 3?

AB: That's three.

To je 3. Verovatnoća da sam slučajno pogađao ove 4 cifre

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

bi bila 1:10 000 tj 10 na 4. stepen.

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

OK, any six of them.

Ok, bilo kojih 6.

(Laughter)

Really scramble them up this time, please.

Molim da ih stvarno izmešate sada.

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

Muškarac: 263972.

Did you leave out the number 7?

Da li ste izostavili broj 7?

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

I dajmo svima jedan lep aplauz.

Hvala vam mnogo.

Thank you very much.

(Applause)

(Applause ends)

Za sledeću tačku -

For my next number --

(Laughter)

(Smeh)

while I mentally recharge my batteries,

dok mentalno napunim baterije,

imam jedno pitanje za publiku.

I have one more question for the audience.

By any chance, does anybody here happen to know

Da li neko ovde slučajno zna

the day of the week that they were born on?

kog dana u nedelji je rođen?

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

Ako mislite da znate dan rođenja, podignite ruku.

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

Da vidimo, počnimo sa - počnimo prvo sa gospodinom,

What year was it, first of all?

Ok gospodine, prvo koja je to godina bila? Zato prvo počinjem sa gospodinom.

That's why I pick a gentleman first.

Koja godina?

Audience: 1953.

Publika: 1953.

1953, and the month?

1953. i koji mesec?

November what?

Publika: Novembar. AB: Koji novembar?

Publika: 23.

23rd -- was that a Monday?

23. - da li je to bio ponedeljak? Publika: Da.

Audience: Yes.

Da, dobro, neko drugi? Ko bi hteo -

Good. Somebody else?

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

vidite ja ne - nisam još video da žene dižu ruke.

OK, how about you, what year?

Ok, to je - možete li vi, koja godina?

1949, and the month?

Publika: 1949. AB: 1949. i koji mesec?

October what?

Publika: Oktobar. AB: Koji oktobar?

Publika: Peti.

Fifth -- was that a Wednesday?

Peti - da li je to bila sreda?

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

Da - otići ću malo iza, vi?

Yell it out, what year?

Viknite, koja godina? Publika: 1959.

Audience: 1959.

1959, OK -- and the month?

1959. ok - i mesec?

Publika: Februar.

Audience: February.

February what?

Koji februar? Publika: Šesti.

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

Šesti - da li je to bio petak? Publika: Da.

Good, how about the person behind her?

Dobro, a osoba iza nje?

Call out, what year was it?

Recite, recite - koja godina?

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

Publika: 1947. AB: 1947. i mesec?

Audience: May. AB: May what?

Publika: Maj. AB: Koji maj?

Seventh -- would that be a Wednesday?

Publika: Sedmi. AB: Sedmi - da li je to bila sreda?

Audience: Yes. AB: Thank you very much.

Publika: Da.

Hvala vam mnogo.

(Applause)

(Aplauz)

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

Želi li neko ovde da zna kojeg dana u nedelji 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, mogu da izmislim odgovor i ne biste znali,

pa sam se pripremio za to.

so I come prepared for that.

I brought with me a book of calendars.

Poneo sam sa sobom knjigu kalendara.

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

Ide i do 1800. godine, jer nikad ne znate.

(Laughter)

(Smeh)

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

Nisam hteo da gledam u vas, gospodine -

samo ste slučajno sedeli tu.

(Laughter)

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

Kris, možes li da mi pomogneš, ako ti nije teško.

This is a book of calendars.

Ovo je knjiga kalendara i pitaću -

Who wanted to know their birth day?

ko je hteo da zna svoj dan rođenja? Vi gospodine. Ok.

What year was it, first of all?

Prvo, koja godina?

Audience: 1966.

Publika: 1966.

66 -- turn to the calendar with 1966.

'66. - okreni kalendar sa 1966. -

And what month?

i koji mesec?

Audience: April. AB: April what?

Publika: April. AB: Koji april?

Audience: 17th.

Publika: 17. AB : 17. - Verujem da je bila nedelja.

I believe that was a Sunday.

Can you confirm, Chris?

Možeš li da potvrdiš, Krise?

Kris: Da. AB: Da, ok. Reći ću ti nešto, Kris:

Chris Anderson: Yes.

AB: I'll tell you what, Chris:

kad već imaš 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,

otvori godine pre 1900-ih

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

ili u 1800. ili u 2000.

that'll be a much greater challenge for me.

to će biti veći izazov za mene

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

Koju godinu, Kris, želiš?

Kris: 1824.

AB: 1824, OK.

1824, ok.

AB: And what month?

I mesec? Kris: Jun.

CA: June.

Koji jun? Kris: 6.

AB: June what? CA: Sixth.

AB: Was that a Sunday?

Šesti - da li je bila nedelja?

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

Da. AB: I bilo je oblačno.

(Laughter)

Good, thank you very much.

Dobro, hvala vam mnogo.

(Applause)

(Aplauz)

(Applause ends)

But I'd like to wrap things up now

Hteo bih sada da završim

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 digitronom sa 10 cifara.

Where is he, would you stand up,

Gde je, možete li da ustanete -

10-digit guy?

momak sa 10 cifara?

OK, stand up for me just for a second,

Ok, ustanite na sekund

so I can see where you are.

da vidim gde ste.

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

Ok, oh, ok - i vi imate desetocifreni digitron?

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

Ok, pokušaću da kvadriram u svojoj glavi

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

petocifreni broj za šta je potreban digitron od 10 cifara.

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

Ali da učinim još interesantijim za vas i za sebe,

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

rešiću ovaj problem

na glas.

So you can actually, honestly hear

Tako da stvarno možete da čujete

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

šta se dešava u mojoj glavi

dok ovo računam.

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

Sada, moram da se izvinim našem mađioničaru i prijatelju Lenartu Grinu.

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

Znam kao mađioničar da ne smemo da otkrivamo naše tajne,

but I'm not too afraid

ali ja se baš i ne plašim da će ljudi početi

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

da izvode moju tačku sledeće nedelje, pa -

I think we're OK.

Mislim da smo ok.

(Laughter)

(Applause)

So, let's see,

Pa, da vidimo, uzmimo -

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

neki drugi red ljudi, počevši sa vama.

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

dobiću 5 cifara: 1, 2, 3, 4 -

Oh, I did this row already.

oh, već sam prošao ovaj red. Hajdemo red pre vas,

Let's do the row before you,

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

počevši od vas gospodine: 1, 2, 3, 4, 5.

Call out a single digit --

Viknite po jednu cifru - i to će biti petocifreni broj

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

koji ću da kvadriram. Krenite.

Publika: 5. AB: 5.

Five.

Seven.

Publika: 7.AB: 7.

Publika: 6. AB: 6.

Six.

Publika: 8. AB: 8.

Eight.

Three.

Publika: 3. AB: 3.

57,683 --

57 683

squared.

Yuck.

na kvadrat. Jao.

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

Objasniću vam kako

ću da pokušam da rešim ovaj problem.

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

Razbiću problem na 3 dela.

I'll do 57,000 squared,

uradiću 57 000 na kvadrat,

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,

Saberem sve te brojeve,

and with any luck, arrive at the answer.

i uz malo sreće, dobiću rešenje.

Now, let me recap.

Sada, ponovimo.

(Laughter)

Thank you.

Hvala vam.

(Laughter)

While I explain something else --

Dok objasnim nešto drugo -

(Laughter)

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

- znam, to možete da iskoristite, zar ne?

(Laughter)

While I do these calculations,

Dok računam

you might hear certain words,

možda čujete neke reči,

nasuprot brojevima, kako dolaze usled računanja.

as opposed to numbers, creep into the calculation.

Let me explain what that is.

Objasniću.

This is a phonetic code,

To je fonetički kod,

a mnemonic device that I use,

mnemonički način pamćenja koji koristim,

that allows me to convert numbers into words.

koji pretvara brojeve u reči.

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

Pamtim ih kao reči i posle vraćam kao brojeve.

I know it sounds complicated; it's not.

Znam da zvuči komplikovano, nije -

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

Samo ne želim da mislite da gledate nešto iz "Kišnog čoveka".

(Smeh)

(Laughter)

There's definitely a method to my madness --

Postoji metoda za moje ludilo -

definitely, definitely.

definitivno, definitivno. Izvinite.

Sorry.

(Laughter)

(Smeh)

If you want to talk to me about ADHD afterwards,

Ako hoćete da pričate sa mnom o ADHD-u

you can talk to me then.

možemo kasnije. U redu -

By the way, one last instruction,

usput, poslednja instrukcija,

for my judges with the calculators --

za moje sudije sa digitronima - ok, znate ko ste -

you know who you are --

ima bar 50 posto šanse

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

da ću da napravim grešku ovde.

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

Ako napravim, ne recite koja je greška

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

već "blizu si" ili tako nešto i probaću da nađem rešenje -

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

što bi bilo i samo po sebi zanimljivo.

which could be pretty entertaining in itself.

If, however, I am right,

Ako međutim, pogodim,

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

šta god da radite, ne ćutite, ok?

(Laughter)

(Smeh)

Make sure everybody knows that I got the answer right,

Neka svi znaju da sam pogodio tačan odgovor,

jer to je moj veliki završetak, ok.

because this is my big finish, OK.

So, without any more stalling,

I bez daljeg odlaganja,

here we go.

krećemo.

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

Počeću sa problemom u sredini, 57 puta 683.

Sada, 57 puta 68 je 3400 plus 476 je 3876,

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

to je 38760 plus 171,

that's 38,760 plus 171,

38,760 plus 171 is 38,931.

38760 plus 171 je 38931.

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

38931; dupliram to je 77862.

77,862 becomes cookie fission,

77862 postaje "cookie fission",

cookie fission is 77,822.

"cookie fission" je 77822.

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

To izgleda dobro, idem dalje. "Cookie fission", ok.

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

Sledeće, 57 na kvadrat je 3249, pa mogu da kažem

three billion.

3 milijarde. Uzmem 249 dodam "cookie", 249,

Take the 249, add that to cookie, 249,

oops, but I see a carry coming --

oops, vidim preliv -

249 --

249 -

add that to cookie, 250 plus 77,

dodam na cookie, 250 plus 77

is 327 million --

je 327 miliona -

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

"fission", "fission", ok, konačno, 683 na kvadrat,

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 466489, brže ako treba

rev up, take the 466,

brže, uzmem 466,

add that to fission, to get,

dodam na "fission", da dobijem

o Bože -

oh gee --

328,489.

328489.

Audience: Yeah! AB: Good.

Publika: Da!

AB: Dobro.

Thank you very much.

(Aplauz)

(Applause)

Hvala vam mnogo.

I hope you enjoyed mathemagics.

Nadam se da ste uživali u matemagiji. Hvala vam.

Thank you.

(Applause)

(Aplauz)