Chapter 294: One hour, easy to get it done!

the other side!

Needless to say, Jiang Nan’s problem-solving speed.

Even Liang Changqing, Yin Yi, Qiu Bai and Leng Yan felt that it was okay to get full marks, and pursued speed.

As a five-person teacher Jiang.

Jiang Nan is naturally more okay, and the speed is also faster, almost the kind of flying.

The answer to the first question suddenly appeared on the paper.

“Proof: Let A={(x1, X2, 3,…x2n)|(x1, X2, X3,…, x2n) has the property P}.

B={(x1, X2, X3,…, X2n)|(X1, X2, X3,…, X2n) has no property P}.

C={(x1, X2, X3,…, X2n)|There is exactly one i such that |xi-Xi+1|=n, i is not equal to 1}.

Obviously C is a subset of A, and (n+1,1,2,…,n,n+2,…,2n) belongs to A, (n+1,1,2,…,n,, n+2,…, 2n)? C.

So C is a proper subset of A, so the number of elements in A is greater than the number of elements in C.

Consider any element in B (y1, y2, y3,…, y2n), then |y2-y1| is not equal to n, so the number different from y1 by n must be a certain yk, (k is greater than 2).

Put y1 to the left of yk to get a new arrangement (y2, y3,…, yk-1, y1, yk,…, y2n). This arrangement must be an element of C.

Make a mapping (y1, y2, y3,…, y2n), → (y2, Y3,…, yk-1, y1, yk,…, y2n).

It is not difficult to prove that this is a one-to-one correspondence, so the number of elements in C is equal to the number of elements in B.

In summary…

The number of elements in A is greater than the number of elements in B.

That is, for any n, there are more permutations with property P than permutations without property P. ”

“…”

Is there in three minutes?

Probably not!

f*ck!

This is the International Mathematical Olympiad!

Prior to this, Jiang Nan had always believed that the difficulty of the international Olympiad should be far more difficult than that of the domestic Olympiad.

to this end!

He had been looking forward to it for a long time.

Thinking of finally being so challenging, I will draw a successful end to my high school career.

But the result…

You just give me this?

Jiang Nan is really full of black lines.

How can I describe his current mood?

It’s like a matchmaker introducing you to a pretty wife.

Although you haven’t seen each other, you hear people boast that this pretty wife is there in the sky and nothing on the ground, her face is like a fish and a wild goose, and her figure is even more graceful, which makes her heart move.

Then……

You are willing to give the matchmaker money and give away the gift money, waiting with expectation until the red hijab is lifted…

result……

Shen Yu and Goose?

It was indeed Chen Yuluoyan, but it was not the kind that stunned the fish and geese, but frightened the fish and geese to death.

And graceful and graceful is even more nonsense.

At this moment……

What do you think?

It’s hard to describe.

Anyway, Jiang Nan just wants to get it done as quickly as possible, and then pass away, not wanting to wait for a moment.

so……

He basically does one question every three minutes.

Five questions took fifteen minutes.

Only the last finale question had a little meaning, and it took him a little bit more effort.

but……

That’s it.

It was done in less than five minutes.

However, the task given by the system is to give him 43 points in one round of the test, which means he needs one more point.

For this reason, he had to spend several times longer, figuring out more novel solutions, so that the scoring teacher would be refreshed.

Then……

The second solution…

The third solution…

Fourth solution…

Fifth solution…

“what?”

“It seems that there are only five solutions to this question?”

“Interesting, it’s a bit interesting, I didn’t expect that all of a sudden I thought of only five solutions!”

“Tsk tut!”

“It seems that Olympiad is not useless this time!”



“If you use a comprehensive method, you can combine several different solutions!”

“But that kind of solution is too complicated, and it overlaps with the five previous solution steps, which is of little significance!”

“But I have made five solutions…”

“Even though the scores for the International Mathematical Olympiad are more stringent, adding 1 point should be fine, right?”

“So be it!”

“After writing, call it a day!”

“…”

After checking it again, it took nearly an hour in total, and Jiang Nan collected the pen and handed it away.

“Wow!”

Almost instantly.

There was one in the examination room, and all of them turned their eyes to Jiang Nan, full of surprises!

“what?”

“Who is this guy?”

“You turned in your papers in just one hour?”

“It’s not that fast, right?”

“This is the International Olympic Mathematics. The total time is four and a half hours. There is always not enough time, and few people can finish it early. As for an hour, it is even more dreaming!”

“Needless to say……”

“This person must have collapsed and abandoned the exam because the paper is too difficult. It’s a waste of their national quota!”

“but……”

“He has black hair and yellow skin. He seems to be from Dongyun! If he is Dongyun, he understands it very well!”

“after all……”

“Dongyun is not as good as one at the Olympic Mathematics, and one year is not as good as one year. Obviously this is to make up the numbers!”

“…”

The vast majority of people muttered in their hearts, and their gazes at Jiang Nan were full of contempt.

certainly!

That’s it.

Soon they went to solve the problem again.

It took one hour to complete the questions, and they wouldn’t believe it if they were beaten to death. 100% of them were Jiang Nan collapsed and abandoned the exam.

after all……

This topic is really difficult!

Instead of watching the clown hand in the paper, it is better to seize the time to solve the problem, and you can get one more point.

At the same time.

After receiving Jiang Nan’s paper, the invigilator Smith pressed on the table without looking at it.

Like most of the candidates present, Smith did not believe that Jiang Nan could finish the paper in an hour.

on the contrary!

He thinks Jiang Nan’s mind is too fragile, and too disrespectful of international competitions, he actually turned in the paper ahead of schedule!

Such people……

It’s not worth his extra look.

“It seems!”

“Dong Yun is really outdated!”

“The former Dongyun has dominated the International Olympiad for nearly 30 years. Whether it is the individual first or the team champion, it is theirs seven or eight times out of ten.”

“But in the past five or six years, the strength of their Dongyun team has really worsened year by year!”

“Last year, I was able to get two golds and four silvers, and the team won the third place, but this year there was an abandonment of the exam. It is estimated that they will be eliminated in the first round, and they are not even qualified for the team ranking!”

“Hey, what a pity!”

“…”

Smith secretly thought!

As the invigilator, he also produced the papers, and he, the scoring teacher, directly put Dongyun out of the queue.

Um!

The huge examination room!

Maybe there are only two people who don’t think Jiang Nan collapsed and abandoned the exam, and 100% finished it.

One is Xiao Ze.

In his heart, Jiang Nan has risen to the height of the god of mathematics, how can such a person give up the exam?

not to mention……

Look at Jiang Nan’s indifferent expression, walking with wind, where is the bleak state of collapse and abandonment?

“This person… really amazing!”

“It deserves to be someone who even Captain Dongyun calls Southern God!”


“I just finished one question, but he finished the whole paper. It’s really amazing. I just don’t know how much the final score will be. Can he get full marks??”

“…”

Xiao Ze was full of curiosity.

At the same time!

Looking at Jiang Nan’s departure, Liang Changqing gritted her teeth, a blazing fire ignited in her eyes, “Nan Shen is worthy of being a Southern God, it’s a heifer standing upside down, and bullfrogs soaring into the sky!”

“I only did the third question, but Nanshen has done it all. It seems that I still need to speed up!”

“otherwise……”

“But it’s really embarrassing to Nanshen!”

“I don’t know how Yin Yi, Qiu Bai and Leng Yan brothers and sisters are doing in the exam, they should be about the same as me!”

“In any case, I have to be faster than them, not only to get full marks, but also to submit papers ahead of schedule like Nanshen!”

“Well, fight it, Ollie will give it!”

“…”

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