Good morning, ladies and gentlemen. My name is Art Benjamin, and I am a "mathemagician." What that means is, I combine my loves of math and magic to do something I call "mathemagics."
Dobro jutro dame i gospodo. Zovem se Arthur Benjamin i ja sam "matemagičar". Značenje toga je da kombiniram svoju ljubav za matematikom i mađioničarskim trikovima u nešto što zovem "matemagijom".
But before I get started, I have a quick question for the audience. By any chance, did anyone happen to bring with them this morning a calculator? Seriously, if you have a calculator with you, raise your hand. Raise your hand. Did your hand go up? Now bring it out, bring it out. Anybody else? I see, I see one way in the back. You sir, that's three. And anybody on this side here? OK, over there on the aisle. Would the four of you please bring out your calculators, then join me up on stage. Let's give them a nice round of applause.
Ali prije nego započnem, imam kratko pitanje za publiku. Da li je netko slučajno ponio sa sobom kalkulator? Ozbiljno, ako imate kalkulator kod sebe, dignite ruku, samo dignite ruku. Mislio sam... vi ste digli ruku? Izvadite te ga, izvadite ga. Još netko? Vidim, vidim nekog tamo iza. Vi gospodine... to je već tri. Netko možda na ovoj strani? OK, I vi tamo kraj prolaza. Možete li vas četvoro sa kalkulatorima izvaditi ih i pridružiti mi se na pozornici? I dajmo ovim dobrovoljcima jedan lijepi pljesak! (pljesak)
(Applause)
Odlično. Sada, pošto nisam prije imao prilike
That's right. Now, since I haven't had the chance to work with these calculators, I need to make sure that they are all working properly. Would somebody get us started by giving us a two-digit number, please? How about a two-digit number?
koristiti ove vaše kalkulatore, moram provjeriti da li svi rade ispravno. Molim nekoga da započne tako da nam kaže jedan dvoznamenkasti broj? 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, or the calculators are not working. Do all of you get 1,034? 1,034?
AB: Pomnožite kalkulatorima 22 puta 47, provjerite da li ste dobili 1,034 jer ako niste, kalkulatori vam ne rade. Da li su svi dobili 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? OK, great. What I'm going to try and do then -- I notice it took some of you a little bit of time to get your answer. That's OK. I'll give you a shortcut for multiplying even faster on the calculator. There is something called the square of a number, which most of you know is taking a number and multiplying it by itself. For instance, five squared would be?
Želite li možda neki običniji kalkulator za svaki slučaj? Ok, super. Želim pokušati nešto -- Primjećujem da je nekima od vas trebalo vremena da dođete do rješenja. To je OK. Dati ću vam prečac za množenje koje će na kalkulatorima biti brže. Postoji nešto zvano "kvadrat broja," za što većina vas zna da je broj pomnožen sa samim sobom. Na primjer, pet na kvadrat bi bilo?
Audience: 25.
Publika: 25.
AB: 25. The way we can square on most calculators -- let me demonstrate with this one -- is by taking the number, such as five, hitting "times" and then "equals," and on most calculators that will give you the square. On some of these ancient RPN calculators, you've got an "x squared" button on it, will allow you to do the calculation even faster. What I'm going to try and do now is to square, in my head, four two-digit numbers faster than they can do on their calculators, even using the shortcut method. What I'll use is the second row this time, and I'll get four of you to each yell out a two-digit number, and if you would square the first number, and if you would square the second, the third and the fourth, I will try and race you to the answer. OK? So quickly, a two-digit number please.
AB: 25. Pogledajte, način na koji možemo kvadrirati brojeve na većini kalkulatora -- da vam pokažem na ovome -- je da upišemo broj, na primjer pet, pritisnemo "puta" i onda "jednako," što će na većini kalkulatora dati kvadrat broja. Na nekim starim RPN kalkulatorima, postoji posebna naredba "x na kvadrat", koja vam omogućuje da izračunate ovo još brže. Ono što ću sada pokušati je kvadrirati, napamet četiri dvoznamenkasta broja brže nego što oni mogu na svojim kalkulatorima, čak i sa ovom bržom metodom. Sada ću koristiti drugi red, i vas četvoro -- jedan, dva, tri, četiri -- ćete mi doviknuti dvoznamenkasti broj, a vi ćete kvadrirati prvi broj, i vi ćete kvadrirati drugi broj, pa treći i četvrti, a ja ću se utrkivati s vama tko će brže do rješenja. OK? 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.
Publika: 59.
AB: 59 squared, OK, and finally?
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.
Volunteer: 3481. AB: 3481.
AB: 529.
Muškarac: 3481.
Volunteer: 8649.
AB: 3481.
Muškarac: 8649.
AB: Thank you very much.
AB: Puno hvala svima!
(Applause)
(pljesak)
Let me try to take this one step further. I'm going to try to square some three-digit numbers this time. I won't even write these down -- I'll just call them out as they're called out to me. Anyone I point to, call out a three-digit number. Anyone on our panel, verify the answer. Just give some indication if it's right. A three-digit number, sir, yes?
Dopustite mi da ovo dovedem korak dalje. Ovaj put ću pokušati kvadrirati troznamenkaste brojeve. Ove neću niti zapisati. Samo ću izvikavati rezultate kada čujem brojeve. Molio bih da oni u publici u koje pokažem doviknu troznamenkasti broj Neka netko od izabranih provjeri rezultat na kalkulatoru. Samo recite da li je točan. 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. Another three-digit --
Je? Dobro. Slijedeći, slijedeći troznamenkasti --
(Applause) -- another three-digit number, sir?
(pljesak) -- slijedeći troznamenkasti broj gospodine?
Audience: 457.
Publika: 457.
AB: 457 squared is 205,849. 205,849? AB: Yes? OK, another, another three-digit number, sir?
AB: 457 na kvadrat je 205,849. 205,849? Je? OK, slijedeći, slijedeći troznamenkasti broj gospodine?
Audience: 321.
Publika: 321.
AB: 321 is 103,041. 103,041. Yes? One more three-digit number please.
AB: 321 je 103,041... 103,041. Je? Još jedan troznamenkasti broj molim. Publika: Oh, 722.
Audience: Oh, 722.
AB: 722 je 500 -- uh taj je teži
AB: 722 is 500, that's a harder one. Is that 513,284?
Možda je 513,284? Žena: Je.
Volunteer: Yes.
AB: Je? Oh molim još jedan, još jedan troznamenkasti broj?
AB: Yes? Oh, one more, one more three-digit number please.
Publika: 162.
Audience: 162. 162 squared is 26,244.
162 na kvadrat je 26,244.
Volunteer: Yes.
Puno vam hvala!
Thank you very much.
(pljesak)
(Applause)
(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. You can all take your time on this; I will not beat you to the answer on this one, but I will try to get the answer right. To make this a little bit more random, let's take the fourth row this time, let's say, one, two, three, four. If each of you would call out a single digit between zero and nine, that will be the four-digit number that I'll square.
Ovaj puta ću pokušati kvadrirati četveroznamenkasti broj. Ne morate se žuriti s ovima; neću moći biti brži od vas, ali pokušati ću doći do točnog odgovora. Da uvedemo još malo slučajnosti, sada ćemo uzeti četvrti red publike, recimo jedan, dva, tri, četiri. Ako svatko od vas kaže jednu znamenku od nula do devet, to će biti četveroznamenkasti broj koji ću kvadrirati. 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. 95 million --
9,758, ovo će malo potrajati pa budite strpljivi. 95,218,564?
(Sighs) 218,564?
Žena: Da.
Volunteer: Yes!
AB: Puno vam hvala!
AB: Thank you very much.
(pljesak)
(Applause)
(Applause ends)
Now, I would attempt to square a five-digit number -- and I can -- but unfortunately, most calculators cannot.
Sada bi pokušao kvadrirati peteroznamenkasti broj -- i mogu to -- ali nažalost većina kalkulatora ne može.
(Laughter)
(smijeh)
Eight-digit capacity -- don't you hate that? So, since we've reached the limits of our calculators -- what's that? Does yours go higher?
Kalkulatori s osam znamenaka - ne mrzite li to? Pa kako smo došli do granica mogućnosti naših kalkulatora -- što ste rekli? Da li vaš ide do -- Žena: ne znam.
Volunteer: I don't know.
AB: da li vaš ima više?
AB: Oh, yours does?
Oh -- vaš ide?
Volunteer: I can probably do it. AB: I'll talk to you later.
Muškarac: Vjerojatno bi mogao.
In the meanwhile, let me conclude the first part of my show by doing something a little trickier. Let's take the largest number on the board here, 8649. Would you each enter that on your calculator? And instead of squaring it this time, I want you to take that number and multiply it by any three-digit number that you want, but don't tell me what you're multiplying by -- just multiply it by any random three-digit number. So you should have as an answer either a six-digit or probably a seven-digit number. How many digits do you have, six or seven?
AB: Pričati ću s vama kasnije. U međuvremenu, završio bih prvi dio mog nastupa sa nečim malo težim. Uzmimo najveći broj na ovoj ploči, 8649. Hoćete ga molim upisati u kalkulatore? I sada umjesto da ga kvadrirate, želim da taj broj pomnožite sa bilo kojim troznamenkastim brojem koji želite, ali nemojte mi reći s čim ga množite -- Samo ga pomnožite sa bilo kojim troznamenkastim brojem. Vaš rezultati bi trebao biti ili ili šesteroznamenkasti ili vjerojatno sedmeroznamenkasti broj. Koliko brojki imate, šest ili sedam?
Seven, and yours?
Sedam, a vi? Žena: Sedam.
Seven? Seven? And, uncertain.
AB: Sedam? Sedam? I možda.
Seven. Is there any possible way that I could know what seven-digit numbers you have? Say "No."
Muškarac: Da. AB: Sedam. Ima li neki način na koji bi mogao znati kojih sedam brojeva imate? Recite "Ne." (smijeh)
(Laughter)
Good, then I shall attempt the impossible -- or at least the improbable. What I'd like each of you to do is to call out for me any six of your seven digits, any six of them, in any order you'd like.
Dobro. Sada ću pokušati nemoguće -- ili barem nevjerojatno. Želim da mi svatko od vas dovikne bilo kojih šest od vaših sedam znamenaka, bilo kojih šest, u bilo kojem redoslijedu.
(Laughter)
(smijeh)
One digit at a time, I shall try and determine the digit you've left out. Starting with your seven-digit number, call out any six of them please.
Jednu po jednu znamenku, a ja ću pokušati pogoditi koju znamenku ste izostavili. Počevši sa vašim sedmeroznamenkastim brojem, molim recite bilo kojih šest. Žena: Jedan, OK, 197042.
Volunteer: 1, 9, 7, 0, 4, 2.
AB: Did you leave out the number 6?
AB: Jeste izostavili šest?
Good, OK, that's one. You have a seven-digit number, call out any six of them please.
Žena: Da, AB: Dobro, OK, to je prvi Vi imate sedmeroznamenkasti broj, izvikujte bilo kojih šest znamenki.
Volunteer: 4, 4, 8, 7, 5.
Žena: 44875.
I think I only heard five numbers. I -- wait -- 44875 -- did you leave out the number 6?
AB: Mislim da sam čuo samo pet znamenki. Mislim -- čekajte -- 44875 -- jeste izostavili broj 6?
Same as she did, OK. You've got a seven-digit number -- call out any six of them loud and clear.
Žena: Da. AB: Isto kao i ona, OK. Vi imate semeroznamenkasti broj -- izvikujte bilo kojih šest jasno i glasno. Muškarac: 079044.
Volunteer: 0, 7, 9, 0, 4, 4.
AB: Mislim da ste izostavili 3?
I think you left out the number 3?
AB: That's three. The odds of me getting all four of these right by random guessing would be one in 10,000: 10 to the fourth power. OK, any six of them.
To je tri. Vjerojatnost da sam pogađao ove četiri znamenke umjesto računanja je jedan u 10,000: 10 na četvrtu OK, bilo kojih šest
(Laughter)
Molim da ih stvarno stavite u slučajni redoslijed ovaj put.
Really scramble them up this time, please.
Čovjek: 263972.
Volunteer: 2, 6, 3, 9, 7, 2.
Did you leave out the number 7? And let's give all four of these people a nice round of applause. Thank you very much.
Jeste izostavili sedam? I dajmo im svim jedan lijepo pljesak! Hvala puno svima.
(Applause)
(Applause ends) For my next number --
Za slijedeću točku --
(Laughter)
(smijeh)
while I mentally recharge my batteries, I have one more question for the audience. By any chance, does anybody here happen to know the day of the week that they were born on? If you think you know your birth day, raise your hand. Let's see, starting with -- let's start with a gentleman first. What year was it, first of all? That's why I pick a gentleman first.
dok mentalno napunim baterije Imam još jedno pitanje za publiku. Zna li netko ovdje slučajno u kojem danu u tjednu je rođen? Ako mislite da znate svoj dan rođenja, dignite ruku. Da vidim, počinjemo sa -- idemo započeti prvo sa gospodinom, OK gospodine, prvo recite koja je godina? Zato porvo počinjem s gospodinom. Koja godina?
Audience: 1953.
Publika: 1953.
1953, and the month? November what?
AB: 1953, a mjesec? Publika: Studeni. AB: Kojeg studenog?
23rd -- was that a Monday?
Publika: 23. 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. OK, how about you, what year? 1949, and the month? October what? Fifth -- was that a Wednesday? Yes! I'll go way to the back right now, how about you? Yell it out, what year?
vidite nema -- nisam još vidio da žene dižu ruke. OK, to je -- možemo vas, koja godina? Publika: 1949. AB: 1949, a mjesec? Publika: Listopad. AB: Listopad koji? Publika: Petog. AB: Peti -- je li to bila srijeda? Da, moja -- Sada ću nekoga odozada, možda vi? Vičite, koja godina? Publika: 1959.
Audience: 1959.
AB: 1959, OK -- a mjesec?
1959, OK -- and the month?
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? Call out, what year was it?
Dobro, može sada osoba iza nje? 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.
(Applause)
AB: Puno hvala!
(pljesak)
Anybody here who'd like to know the day of the week they were born? We can do it that way. Of course, I could just make up an answer and you wouldn't know, so I come prepared for that. I brought with me a book of calendars. It goes as far back into the past as 1800, because you never know.
Želi li netko ovdje znati kojeg dana u tjednu je rođen? Možemo i tako. Naravno, mogao bih izmisliti odgovor i ne biste primjetili, pa sam došao pripremljen. Donio sam knjigu kalendara 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 --
(Laughter)
Slučajno ste sjedili ovdje.
Anyway, Chris, you can help me out here, if you wouldn't mind. This is a book of calendars. Who wanted to know their birth day? What year was it, first of all?
Bilo kako bilo, Chris, možeš mi pomoći ovdje? Ovo je knjiga s kalendarima i pitati ću -- tko je ono bio da je htio znati svoj dan rođenja? Vi gospodine? OK. Prvo recite koja je to bila godina?
Audience: 1966.
Publika: 1966.
66 -- turn to the calendar with 1966. And what month?
AB: 66.-ta -- okreni na kalendar od 1966. -- 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: Yes.
Chris Anderson: Je. AB: Da, OK. Recimo ovako, Chris:
AB: I'll tell you what, Chris: as long as you have that book in front of you, do me a favor, turn to a year outside of the 1900s, either into the 1800s or way into the 2000s -- that'll be a much greater challenge for me. AB: What year would you like? CA: 1824.
kada već držiš tu knjigu ispred sebe, napravi mi uslugu, okreni na godinu izvan 1900tih ili u 1800te ili skroz u 2000te -- tako će mi biti veći izazov Koju godinu bi ti htio?
AB: 1824, OK.
CA: 1824
AB: And what month?
AB: 1824, OK i koji mjesec? CA: Lipanj.
CA: June.
AB: Lipanj koji? CA:: šestog.
AB: June what? CA: Sixth.
AB: Šesti -- to je bila nedjelja?
AB: Was that a Sunday?
CA: bila je. AB: I bilo je oblačno.
CA: It was. AB: And it was cloudy.
(Laughter)
Odlično, puno hvala!
Good, thank you very much.
(pljesak)
(Applause)
(Applause ends)
Ali htio bih sada završiti
But I'd like to wrap things up now by alluding to something from earlier in the presentation. There was a gentleman up here who had a 10-digit calculator. Where is he, would you stand up, 10-digit guy? OK, stand up for me just for a second, so I can see where you are. You have a 10-digit calculator, sir, as well? OK, what I'm going to try and do, is to square in my head a five-digit number requiring a 10-digit calculator. But to make my job more interesting for you, as well as for me, I'm going to do this problem thinking out loud. So you can actually, honestly hear what's going on in my mind while I do a calculation of this size.
pozivajući se na nešto ranije u mojoj prezentaciji. Bio je gospodin sa kalkulatorom sa deset znamenaka. Gdje je, možete li ustati? Čovjek s 10 znamenki? Ok, možete li mi nakratko ustati, da vidim gdje ste. OK, oh, OK -- vi isto imate kalkulator s 10 znamenki? OK, ono što ću pokušati napraviti je kvadrirati napamet broj sa pet znamenki, za što je potreban kalkulator s 10 znamenki. Ali da to bude zanimljivije za vas i za mene, ovo ću riješiti govoreći što mislim. Tako da možete zapravo čuti što se događa u mojoj glavi dok računam ovako veliki broj.
Now, I have to apologize to our magician friend Lennart Green. I know as a magician we're not supposed to reveal our secrets, but I'm not too afraid that people are going to start doing my show next week, so -- I think we're OK.
Sad, morao bih se ispričati našem mađioničaru Lennartu Greenu, jer znam da kao mađioničar ne bi trebao odavati naše tajne, ali ne bojim se previše da će ljudi početi izvoditi moju točku slijedeći tjedan pa-- mislim da je to OK.
(Laughter)
(Applause)
Pa da vidimo, uzmimo --
So, let's see, let's take a different row of people, starting with you. I'll get five digits: one, two, three, four. Oh, I did this row already. Let's do the row before you, starting with you: one, two, three, four, five. Call out a single digit -- that will be the five-digit number that I will try to square, go ahead.
uzmimo neki drugi red ljudi, počevši od vas. Dobiti ću pet znamenki: jedan, dva, tri, četiri -- a, vas sam već pitao. Uzmimo red prije vas, počevši od vas gospodine: jedan, dva, tri, četiri, pet. Izvikujte jednu znamenku -- biti će to peteroznamenkasti broj kojeg ću pokušati kvadrirati. Počnite.
Five.
Publika: Pet, AB: Pet.
Seven.
Publika: Sedam. AB: Sedam.
Six.
Publika: Šest. AB: Šest.
Eight.
Publika: Osam. AB: Osam.
Three. 57,683 -- squared. Yuck.
Publika: Tri. AB: Tri. 57,683 na kvadrat. Bljak.
Let me explain to you how I'm going to attempt this problem. I'm going to break the problem down into three parts. I'll do 57,000 squared, plus 683 squared, plus 57,000 times 683 times two. Add all those numbers together, and with any luck, arrive at the answer. Now, let me recap.
Da vam objasnim kako ću pokušati riješiti taj problem. Razdijeliti ću ga u tri dijela. Prvo ću kvadrirati 57,000, plus 683 na kvadrat, plus 57,000 puta 683 puta 2. Zbrojite sve te brojeve zajedno, iz uz nešto sreće dođete do rezultata. Ponovimo.
(Laughter)
Hvala.
Thank you.
(Laughter)
Da vam još nešto objasnim --
While I explain something else --
(Laughter)
-- znam, nešto što ćevam koristiti, jeli?
-- I know, that you can use, right?
(Laughter)
Dok računam,
While I do these calculations, you might hear certain words, as opposed to numbers, creep into the calculation. Let me explain what that is. This is a phonetic code, a mnemonic device that I use, that allows me to convert numbers into words. I store them as words, and later on retrieve them as numbers. I know it sounds complicated; it's not. I don't want you to think you're seeing something out of "Rain Man."
možda ćete čuti neke riječi, koje nisu brojevi, kako dolaze usred računanja. Objasniti ću vam o čemu se radi. To je fonetski kod, mnemonički način pamćenja kojeg koristim, koji mi dozvoljava da pretvorim brojeve u riječi. Pamtim ih kao riječi i kasnije vraćam kao brojeve. Znam da zvuči komplicirano ali nije. Samo ne bi htio da mislite da gledate nešto kao u "Kišnom čovjeku."
(Laughter)
(smijeh)
There's definitely a method to my madness -- definitely, definitely. Sorry.
Sigurno ima plana u mojoj ludosti -- Sigurno, sigurno. Ispričavam se. (smijeh)
(Laughter)
If you want to talk to me about ADHD afterwards, you can talk to me then. By the way, one last instruction, for my judges with the calculators -- you know who you are -- there is at least a 50 percent chance that I will make a mistake here. If I do, don't tell me what the mistake is; just say, "you're close," or something like that, and I'll try and figure out the answer -- which could be pretty entertaining in itself. If, however, I am right, whatever you do, don't keep it to yourself, OK?
Ako želite kasnije pričati samnom o ADHD-u, možemo o tome kasnije. U redu -- naposlijetku, zadnja uputa za moje sudce sa kalkulatorima -- OK, znate koji ste -- postoji barem 50% šanse da ću negdje pogriješiti. Ako pogriješim, nemojte mi reći gdje je greška; samo recite "blizu ste" ili nešto slično, i pokušati ću sam doći do rješenja -- što će biti vrlo zabavno ako se dogodi. S druge strane, ako sam u pravu, nemojte to ni slučajno tajiti, OK?
(Laughter)
(smijeh)
Make sure everybody knows that I got the answer right, because this is my big finish, OK. So, without any more stalling, here we go. I'll start the problem in the middle, with 57 times 683. 57 times 68 is 3,400, plus 476 is 3876, that's 38,760 plus 171, 38,760 plus 171 is 38,931. 38,931; double that to get 77,862. 77,862 becomes cookie fission, cookie fission is 77,822. That seems right, I'll go on. Cookie fission, OK. Next, I do 57 squared, which is 3,249, so I can say, three billion. Take the 249, add that to cookie, 249, oops, but I see a carry coming -- 249 -- add that to cookie, 250 plus 77, is 327 million -- fission, fission, OK, finally, we do 683 squared, that's 700 times 666, plus 17 squared is 466,489, rev up if I need it, rev up, take the 466, add that to fission, to get, oh gee -- 328,489.
Budite sigurni da svi znaju da sam točno izračunao, u redu? jer to mi je veliko finale, OK. Pa bez daljnjeg odugovlačenja, krenimo. Početi ću sa problemom u sredini, sa 57 puta 683. Sad, 57 puta 68 je 3,400, plus 476 je 3876, to je 38,760 plus 171, 38,760 plus 171 je 38,931, 38,931; duplo od toga je 77,862. 77,862 je "cookie" i "fission", "cookie fission" je 77,822. To mi izgleda dobro, pa ću nastaviti. "Cookie fission", OK Slijedeće, 57 na kvadrat je 3,249, pa mogu reći, tri milijarde. Uzmimo 249, dodamo to u "cookie", 249, oops, vidim da će mi doći prelijev -- 249 -- dodaj to u "ookie", 250 plus 77, je 327 miliona -- "fission", "fission", OK, na kraju kvadriramo 683, to je 700 puta 666 plus 17 na kvadrat je 466,489, treba mi to brže, brže, uzmi 466, dodaj u "fission" i dobiješ a da -- 328,489.
Audience: Yeah! AB: Good.
Publika: Je!
Thank you very much.
AB: Dobro.
(pljesak)
(Applause) I hope you enjoyed mathemagics.
Puno vam hvala! Nadam se da ste uživali u matemagici. Hvala vam.
Thank you.
(pljesak)
(Applause)