Super Scholar: Start with a low regulatory score!
Chapter 293 1 hour, easily done!
Chapter 293 One hour, easily done!
the other side!
Needless to say, Jiang Nan's problem-solving speed.
Even Liang Changqing, Yin Yi, Qiu Bai and Leng Yan thought it was okay to get full marks, and they pursued speed.
Teacher Jiang as five people.
Jiangnan is naturally no problem, and the speed is also faster, the kind that is so fast that it can fly.
The answer to the first question suddenly appeared on the paper.
"Proof: Note that A={(x1, X2, 3,...x2n)|(x1, X2, X3,...,x2n) has property P}.
B={(x1, X2, X3,...,X2n)|(X1, X2, X3,...,X2n) does not have property P}.
C={(x1, X2, X3,...,X2n)|There is exactly a certain i that makes |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 that differs from y1 by n must be a certain yk, (k is greater than 2).
Putting y1 to the left of yk results in a new permutation (y2, y3, ..., yk-1, y1, yk, ..., y2n), which must be an element of C.
Do 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.
To sum up...
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 3 minutes?
Probably not!
Nima!
This is the International Mathematical Olympiad!
Prior to this, Jiangnan had always believed that the difficulty of the international Olympiad should be far higher than that of the domestic Olympiad.
to this end!
He has been looking forward to it for a long time.
Thinking that I can finally come to such a challenge and draw a successful end to my high school career.
The result can be...
You just give me this?
Jiangnan is really full of black lines.
How to describe his current mood?
It's like a matchmaker introducing you to a beautiful daughter-in-law.
Although you have never met, you have heard people praise this pretty daughter-in-law so much that she is in the sky, but not in the earth. She has such a beautiful face, and her figure is even more graceful, which makes people's hearts flutter.
then……
You are willing to give money to the matchmaker, give out the gift money, and wait with anticipation until the red hijab is lifted...
result……
Sinking fish and geese?
It is indeed a sinking fish and a wild goose, but it is not the one that stuns the fish and the goose, but the kind that scares the fish and the goose to death.
And being pretty is nonsense.
At this moment……
How would you feel?
It's hard to describe.
Anyway, Jiangnan just wanted to get it done as quickly as possible, and then hand in the papers and leave, and he didn't want to stay for a moment longer.
and so……
He is basically 3 minutes a question.
Five questions took 15 minutes.
Only the last question, which was the finale, was a little bit interesting and cost him a little more effort.
but……
That's all.
Done in less than 5 minutes.
However, the task given by the system is to let him score 43 points in one round, that is, he needs to exceed one point.
For this reason, he had to spend several times more time to figure out more novel solutions, so that the marking teacher would be refreshed.
then……
The second solution...
The third solution...
The fourth solution...
The fifth solution...
"what?"
"It seems that there are only five solutions to this problem?"
"Interesting, this is a bit interesting, I didn't expect that I only thought of five solutions at once!"
"Tsk tsk!"
"It seems that this Olympiad is not useless!"
"If you use a comprehensive method, you can combine several different solutions!"
"However, such a solution is too complicated, and it overlaps with the previous five solutions, so it doesn't make much sense!"
"But I have come up with five solutions..."
"Even if the marking of the International Mathematical Olympiad is stricter, it shouldn't be a problem to add 1 point, right?"
"So be it!"
"Finish, call it a day!"
"..."
It took nearly an hour to check it again, and Jiang Nan put away the pen, handed in the paper and left.
"Crash!"
Almost in an instant.
In the examination room, one counts one by one, and they all turned their eyes to Jiangnan, their faces full of surprise!
"what?"
"Who is this guy?"
"It's only been an hour since the exam started?"
"It's not finished so soon, is it?"
"This is the International Mathematical Olympiad. The total time is four and a half hours. There is always only a lack of time, and few people can finish it ahead of time. As for one hour, it is even more like a dream!"
"Needless to say……"
"This person must have collapsed and abandoned the exam because the paper was too difficult. It's a waste of their country's quota!"
"but……"
"He has black hair and yellow skin. It looks like he is from Dongyun! If it is Dongyun, it will be easy to understand!"
"after all……"
"Dongyun is not as good as the previous year in the Mathematical Olympiad, and the year is not as good as the year. Obviously, this is to make up the numbers!"
"..."
Most of the people murmured in their hearts, looking at Jiangnan with contempt.
of course!
That's all.
Soon they went back to solving problems.
After completing the test in an hour, they would not believe it if they were beaten to death. It is 100% that Jiangnan collapsed and gave up the exam.
after all……
This topic is really difficult!
Rather than watching the clown hand in the test, it is better to hurry up and solve the problems, and one more point is one point.
At the same time.
After the invigilator Smith took the Jiangnan paper, he pressed it on the table without looking at it.
Like most of the candidates present, Smith did not believe that Jiangnan could finish the paper in an hour.
on the contrary!
He thought that Jiangnan's character was too fragile, and he disrespected the international competition too much, so he handed in the papers ahead of time!
Such people……
It's not worth his second glance.
"It seems!"
"Dongyun is really outdated!"
"Dongyun used to dominate the International Mathematical Olympiad for nearly 30 years. Whether it is an individual first or a team championship, seven or eight times out of ten were theirs."
"But in the past five or six years, the strength of their Dongyun team has really deteriorated year by year!"
"Last year, we were able to win two golds and four silvers, and the team won the third place. But this year, there was someone who dropped out of the exam. It is estimated that he will be eliminated in the first round. He doesn't even qualify for the team ranking!"
"Oh, what a pity!"
"..."
Smith secretly thought!
As the invigilator, he was also the examiner, who also produced and graded the examination papers, and directly put Dongyun into the elimination list.
Ah!
Huge examination room!
Maybe there are only two people who don't think that Jiangnan collapsed and gave up the exam, but it is 100% done.
One is Xiao Ze.
In his heart, Jiangnan has risen to the height of the God of Mathematical Olympiad, so how could such a person give up the exam?
not to mention……
Looking at Jiangnan's indifferent expression, walking with wind, how can there be a desolate state of collapse and abandonment of the exam?
"This person...is really amazing!"
"As expected, even Captain Dongyun calls Nanshen!"
"I just finished a question, but he finished the whole paper. It's really amazing. I just don't know how much I will score in the end. Can I get full marks???"
"..."
Xiao Ze was full of curiosity.
At the same time!
Looking at the back of Jiangnan leaving, Liang Changqing gritted his teeth, his eyes blazed with fire, "Nan Shen is worthy of being Nan Shen, it's like a heifer standing on his head and a bullfrog soaring to the sky!"
"I just finished the third question, but Nanshen finished all of them. It seems that I need to speed up!"
"otherwise……"
"But it's really embarrassing for Nanshen!"
"I don't know how Yin Yi, Qiu Bai and Leng Yan's brothers and sisters did in the exam. Their progress should be similar to mine!"
"No matter what, I must be faster than them. Not only must I get full marks, but I must also hand in the test ahead of time like Nan Shen!"
"Well, it's hard work, Ollie!"
"..."
(End of this chapter)
the other side!
Needless to say, Jiang Nan's problem-solving speed.
Even Liang Changqing, Yin Yi, Qiu Bai and Leng Yan thought it was okay to get full marks, and they pursued speed.
Teacher Jiang as five people.
Jiangnan is naturally no problem, and the speed is also faster, the kind that is so fast that it can fly.
The answer to the first question suddenly appeared on the paper.
"Proof: Note that A={(x1, X2, 3,...x2n)|(x1, X2, X3,...,x2n) has property P}.
B={(x1, X2, X3,...,X2n)|(X1, X2, X3,...,X2n) does not have property P}.
C={(x1, X2, X3,...,X2n)|There is exactly a certain i that makes |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 that differs from y1 by n must be a certain yk, (k is greater than 2).
Putting y1 to the left of yk results in a new permutation (y2, y3, ..., yk-1, y1, yk, ..., y2n), which must be an element of C.
Do 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.
To sum up...
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 3 minutes?
Probably not!
Nima!
This is the International Mathematical Olympiad!
Prior to this, Jiangnan had always believed that the difficulty of the international Olympiad should be far higher than that of the domestic Olympiad.
to this end!
He has been looking forward to it for a long time.
Thinking that I can finally come to such a challenge and draw a successful end to my high school career.
The result can be...
You just give me this?
Jiangnan is really full of black lines.
How to describe his current mood?
It's like a matchmaker introducing you to a beautiful daughter-in-law.
Although you have never met, you have heard people praise this pretty daughter-in-law so much that she is in the sky, but not in the earth. She has such a beautiful face, and her figure is even more graceful, which makes people's hearts flutter.
then……
You are willing to give money to the matchmaker, give out the gift money, and wait with anticipation until the red hijab is lifted...
result……
Sinking fish and geese?
It is indeed a sinking fish and a wild goose, but it is not the one that stuns the fish and the goose, but the kind that scares the fish and the goose to death.
And being pretty is nonsense.
At this moment……
How would you feel?
It's hard to describe.
Anyway, Jiangnan just wanted to get it done as quickly as possible, and then hand in the papers and leave, and he didn't want to stay for a moment longer.
and so……
He is basically 3 minutes a question.
Five questions took 15 minutes.
Only the last question, which was the finale, was a little bit interesting and cost him a little more effort.
but……
That's all.
Done in less than 5 minutes.
However, the task given by the system is to let him score 43 points in one round, that is, he needs to exceed one point.
For this reason, he had to spend several times more time to figure out more novel solutions, so that the marking teacher would be refreshed.
then……
The second solution...
The third solution...
The fourth solution...
The fifth solution...
"what?"
"It seems that there are only five solutions to this problem?"
"Interesting, this is a bit interesting, I didn't expect that I only thought of five solutions at once!"
"Tsk tsk!"
"It seems that this Olympiad is not useless!"
"If you use a comprehensive method, you can combine several different solutions!"
"However, such a solution is too complicated, and it overlaps with the previous five solutions, so it doesn't make much sense!"
"But I have come up with five solutions..."
"Even if the marking of the International Mathematical Olympiad is stricter, it shouldn't be a problem to add 1 point, right?"
"So be it!"
"Finish, call it a day!"
"..."
It took nearly an hour to check it again, and Jiang Nan put away the pen, handed in the paper and left.
"Crash!"
Almost in an instant.
In the examination room, one counts one by one, and they all turned their eyes to Jiangnan, their faces full of surprise!
"what?"
"Who is this guy?"
"It's only been an hour since the exam started?"
"It's not finished so soon, is it?"
"This is the International Mathematical Olympiad. The total time is four and a half hours. There is always only a lack of time, and few people can finish it ahead of time. As for one hour, it is even more like a dream!"
"Needless to say……"
"This person must have collapsed and abandoned the exam because the paper was too difficult. It's a waste of their country's quota!"
"but……"
"He has black hair and yellow skin. It looks like he is from Dongyun! If it is Dongyun, it will be easy to understand!"
"after all……"
"Dongyun is not as good as the previous year in the Mathematical Olympiad, and the year is not as good as the year. Obviously, this is to make up the numbers!"
"..."
Most of the people murmured in their hearts, looking at Jiangnan with contempt.
of course!
That's all.
Soon they went back to solving problems.
After completing the test in an hour, they would not believe it if they were beaten to death. It is 100% that Jiangnan collapsed and gave up the exam.
after all……
This topic is really difficult!
Rather than watching the clown hand in the test, it is better to hurry up and solve the problems, and one more point is one point.
At the same time.
After the invigilator Smith took the Jiangnan paper, he pressed it on the table without looking at it.
Like most of the candidates present, Smith did not believe that Jiangnan could finish the paper in an hour.
on the contrary!
He thought that Jiangnan's character was too fragile, and he disrespected the international competition too much, so he handed in the papers ahead of time!
Such people……
It's not worth his second glance.
"It seems!"
"Dongyun is really outdated!"
"Dongyun used to dominate the International Mathematical Olympiad for nearly 30 years. Whether it is an individual first or a team championship, seven or eight times out of ten were theirs."
"But in the past five or six years, the strength of their Dongyun team has really deteriorated year by year!"
"Last year, we were able to win two golds and four silvers, and the team won the third place. But this year, there was someone who dropped out of the exam. It is estimated that he will be eliminated in the first round. He doesn't even qualify for the team ranking!"
"Oh, what a pity!"
"..."
Smith secretly thought!
As the invigilator, he was also the examiner, who also produced and graded the examination papers, and directly put Dongyun into the elimination list.
Ah!
Huge examination room!
Maybe there are only two people who don't think that Jiangnan collapsed and gave up the exam, but it is 100% done.
One is Xiao Ze.
In his heart, Jiangnan has risen to the height of the God of Mathematical Olympiad, so how could such a person give up the exam?
not to mention……
Looking at Jiangnan's indifferent expression, walking with wind, how can there be a desolate state of collapse and abandonment of the exam?
"This person...is really amazing!"
"As expected, even Captain Dongyun calls Nanshen!"
"I just finished a question, but he finished the whole paper. It's really amazing. I just don't know how much I will score in the end. Can I get full marks???"
"..."
Xiao Ze was full of curiosity.
At the same time!
Looking at the back of Jiangnan leaving, Liang Changqing gritted his teeth, his eyes blazed with fire, "Nan Shen is worthy of being Nan Shen, it's like a heifer standing on his head and a bullfrog soaring to the sky!"
"I just finished the third question, but Nanshen finished all of them. It seems that I need to speed up!"
"otherwise……"
"But it's really embarrassing for Nanshen!"
"I don't know how Yin Yi, Qiu Bai and Leng Yan's brothers and sisters did in the exam. Their progress should be similar to mine!"
"No matter what, I must be faster than them. Not only must I get full marks, but I must also hand in the test ahead of time like Nan Shen!"
"Well, it's hard work, Ollie!"
"..."
(End of this chapter)
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