Chapter 048: This question is so special

The third question, Shen Qi, had just finished writing a small part of the algebra problem, and something happened that made him feel a little nervous.

The Indian-American player stood up and gestured to hand in his papers.

The invigilator walked up to him and sealed his exam papers in a file bag.

The Indian-American athlete walked out of the exam room with ease, seemingly stress-free.

"Don't be influenced by American-Indians, who are mad by him, and the breeze blows on the hills. ”

Shen Qi's attention returned to the exam paper, completing the standard orthogonal element infinite sequence that he had not yet completed.

A few minutes later, the very handsome Russian player handed in the papers.

"He is crossed by him, and the bright moon shines on the river. There's no need to compete with them for speed, I want absolute scores, not seconds. ”

Shen Qi finally completed the proof, he was not in a hurry to hand in the papers, but checked and checked again, and waited for 4.5 hours before handing in the papers.

At the end of the first day of the IMO competition, all the contestants' exam papers are sealed and will be opened at this time tomorrow.

The six members of the Chinese Olympiad team immediately returned to the hotel to gather, exchanged ideas, and the deputy team leader and various professional coaches helped them with advice as military advisors.

"How did you feel on the first day of competition?" asked the team members.

"Difficult. ”

"It's hard. ”

"It's harder than last year's. ”

"It's really a bit difficult, I've done IMO real questions for nearly 5 years, this year's first logic question is put aside, and the next analytic geometry problem and algebra question are the most difficult in the past 5 years. Shen Qi explained truthfully, and then added: "And I found that some players from some countries have good individual combat ability, such as the Indian player of the American team and the left-handed player of the Russian team. ”

The deputy team leader found the player's seat list and took a look: "The Indian player of the American team is called Arrasin, this year is his second time participating in the IMO, and last year he participated in the IMO and got a perfect score and tied for the individual championship. Yes, that's right, I remember this Indian kid, last year I also led the team, our Chinese team narrowly defeated the United States team by 2 points to win the team championship, although six team members won five gold and one silver, but none of them got full scores. ”

"Indian kids hang like this?" Shen Qi felt that the Indian player who competed with him was not good-looking, and even a little obscene, and he didn't look like a mathematical genius at all.

That handsome Russian guy made Shen Qi feel a lot of pressure, mainly because the Russian player was too handsome, with blue eyes, a straight nose bridge, and a beautiful soft blonde hair crying, Shen Qi thought that his appearance was not as good as others, and his hairstyle was not as cool as others, and the pressure was great.

The deputy team leader said: "The level of mathematics of Indians can also be ranked among the best in the world, Shen Qi, you should have heard of the Ramanujan Award, which is one of the awards in the world after the Philippine Prize, named after the Indian mathematician Ramanujan. ”

Shen Qi nodded: "I've heard of it, Ramanujan is a powerful person, and the Ramanujan conjecture series is a relatively high-end operation, and I haven't mastered it all." ”

"Shen Qi, the Russian player with you is called Peter Bolasdravsky, don't be fooled by his appearance, this handsome Russian guy is a recognized mathematical genius, he has participated in the IMO three times in a row, and the first two times have scored perfect marks. Peter has been admitted to the École Supérieure de Paris, one of the top three in the world in mathematics, and has not yet reported to France, so he retains his qualification for this year's IMO. ”

There is no doubt that Peter, who participated in the IMO for the last time, is aiming for a third consecutive personal perfect score. I'm actually more optimistic about the Russian team than the multinational team, and if the other Russian players play well and cooperate with ace Peter, they have a good chance of snatching the team championship from us. The deputy team leader said with a look that was not optimistic.

Shen Qi's expression was also solemn: "The Russians are very good at mathematics, and the only Poincaré conjecture that has been solved in the seven thousand years of puzzles was completed by the Russian mathematician Perelman. In fact, I often use Lobachevsky's theory of non-Euclidean geometry, and I did not receive systematic teaching of non-Euclidean geometry from a wild background, Lobachevsky was my initiation teacher of non-Euclidean geometry, and I respect him very much, although he has been dead for more than 100 years. ”

"Because of Peter and Alrasin, it's not easy for any of you to win the individual title. "So we have to unite and make sure that we can give full play to our individual level on the premise of winning the team." ”

What the deputy team leader said was actually nonsense, and the team ranking for calculating the total score was, to put it bluntly, the accumulation of the individual strength of the six players. The premise of ensuring a team championship is that there are no shortcomings in the team, and there are one or two aces who charge forward to pull up the total score.

In the past five years, although the Chinese Olympiad team has won three team championships, the deputy team leader knows very well that we lack the kind of ace players with outstanding personal strength.

Back in the hotel room, Shen Qi checked the data on the Internet.

The data tells him that it is not easy to get a perfect score in the IMO arena, and the number of perfect score players in an IMO is basically in the single digits.

It is very regular, and the full score player either does not get the full score, and once he gets the full score, he will take it continuously.

The three most famous players in the history of the Chinese Olympiad are all in line with this international convention, and they have all participated in the IMO for two consecutive years, scored full marks for two consecutive years, and are known as talented teenagers. Two of the three genius teenagers were escorted to Peking University and one was escorted to Zhejiang University.

Shen Qi will graduate from high school next year, and he will be able to participate in two IMO sessions at most, and it is impossible to equal the "perfect score triple" world record set by Romanian players.

Shen Qi didn't want to leave regrets for himself, in addition to the team championship, he wanted to win the first place in the gold medal, that is, the individual championship.

Also according to international practice, the Indian players of the American team scored perfect marks last year, and the handsome Russian left-handed guy won two championships last year and the year before last, and these two strong opponents are very likely to continue to score full marks this year.

So to become the first place in this IMO individual gold medal, Shen Qi must ensure a full score.

The next day, the IMO competition on the second day.

Before the start of the competition, Shen Qi had a face-to-face with Russian player Pyotr Bolasdavisky in the same examination room.

“Hey-man。 Shen Qi took the initiative to greet Peter Bolasdrowski.

Peter Bolasdrowski nodded: "Prupurukabulu." "It's Russian.

Shen Qi asked, "Can-you-speak-English?"

Peter Bolasdravsky shook his head and said no.

Oh, it seems that the genius boy in Russia is an English scumbag, not as good as I say. Shen Qi is out of line, and I don't know Russian, so I can't communicate.

The handsome Russian guy no longer paid attention to Shen Qi, he moved a few steps and hugged the Indian-American player, and the two communicated in French and looked quite familiar.

Shen Qi walked away boringly, this handsome and frustrated the two of them were tied for the individual championship last year, and Shen Qi did not have any record in the international arena, and people did not take him to play.

If you don't bring it, you can't bring it, anyway, I can't score lower than you.

Shen Qi adjusted his state and prepared to fight.

At 9 o'clock sharp, the second day of the IMO competition starts on time, and the contestants will face the remaining three questions.

After Shen Qi got the exam paper, he first quickly skimmed through the three exam questions.

"The last question...... Seems to be very perverted. Ignore it for now, and get the first two questions done. ”

Shen Qi must arrange a good tactical play, he has already prepared for the worst, and in the end, I am afraid that this question is from the gods, and I can't even understand it.

Don't dare to expect a full score, the complex international situation caught Shen Qi off guard.

There must be psychological pressure, but fortunately, the answers to the first two questions went relatively smoothly, and two hours later, Shen Qi had to face the problem of this year's IMO.

The last question starts with just a bunch of numbers:

1=1

196884=196883+1

21493760=21296876+196883+1

864299970=842609326+21296876+2*196883+2*1

......

According to the above law, please give two different forms of mathematical explanation. (seven minutes)

This bunch of numbers is similar to the opening scene of The Matrix, what is their pattern?

The first thing Shen Qi had to do was to find the law and then explain it in mathematical language.

At first glance, it seems to be a bit regular, there are always numbers in the next row that coincide with the previous row, but the problem is that the sample size is insufficient, Shen Qi can't explain this number array in any mathematical language, it is by no means Pascal's triangle, it has an equal sign.

Shen Qi pressed his temples vigorously, worried.

Not far away, Russia's Peter Bolasdrski and Indian-American Arrasin don't seem to be worried, flipping through their own references.

Shen Qi also brought three reference materials, and he flipped through the books, but the result was disappointed, and it was useless to flip through the books.

In Shen Qi's knowledge reserve, he didn't know which book recorded a similar number array, this thing couldn't be the latest research results, right?

Peter Bolasdavisky and Arlasin answered the questionnaire while flipping through the book, Shen Qi was even more worried, maybe the syllabus of the United States and Russia is different from that of China, they have learned this thing?