The presiding committee has a lot of self-confidence in the topics they choose, and the professors from all over the world who have come up with such sub-topics also have absolute confidence in their own topics.

Every year, there are only a handful of perfect scorers in the IMO competition, which shows how difficult the math competition questions are.

In an hour, Fang Chao only completed about half of this second question.

So far, he has spent more than an hour and a half, and there are still three hours left, and it will take less than an hour to complete the second question, so if he faces the third question, there will be about two hours left.

Time is not pressing, but it is not plentiful either.

In terms of Fang Chao's level in the past, it would not take more than half an hour to complete a question at most, and the test questions of this kind of competition trapped him for more than an hour with only the second question, which also gave him a great sense of achievement.

"I don't know how the little fat man, Xiao Zizhan, Chen Qin, Jin Zixuan, Lin Sheng and the others did well in the test questions, but don't hold back......"

Fang Chao let himself rest for five minutes, and after making sure that he was in good condition, he continued to answer.

Assuming that the Picheng policewoman moves from point B to point C along BPN+200, BC=200, then DN+200=CX.

If the Picheng policewoman moves to a certain point Z according to any strategy, then Z is to the left of the point C, if the point Z is above BC, then Zycy, if the point Z is below BC, then Zxcx, in short, no matter how the Picheng policewoman moves, there is DN+200 greater than or equal to CX.

According to Stevaldt's theorem.

The so-called theorem is that it has been verified, there is a mathematical formula, Fang Chao does not need to verify this process, but just needs to substitute the formula.

cx=（axcp+pxac）/ap-ac-dn/200+1dn+1/2。

At the beginning, dn=0, so no=410 to the sixth power + 20010 to the ninth power after nine rounds, there is always dno10 to the fourth power +1/2.

i.e. Picheng policewoman can't guarantee dno100,

Thus, after 10 to the ninth power, the Pittsmaidens are unable to ensure a maximum distance of 100 from Captain Teemo.

This is the answer calculated by Fang Chao through one hour and forty minutes, which involves various times for altering, thinking, and writing algorithms.

According to the model of "League of Legends", Captain Teemo only brought a Dolan shield when he went out, and he smoked it from beginning to end, and did not go to the mall to buy equipment, and even faced the Picheng policewoman who had already been dressed in six gods, once he met, Captain Teemo would die without a place to be buried, so in the face of this situation, it was impossible for Captain Teemo to stay where he was, even if he didn't buy equipment, he might have gone to the mall to buy six pairs of shoes, and how far could he run.

Again, here comes the solution idea, done!

However, this is not a standard, it is just a normal way of thinking.

So Fang Chao had more than an hour to solve the second question in the IMO event.

"It's so funny!"

It deserves to be the International Mathematical Olympiad!

Every question on the field is enough to make people think deeply, these professors' brain cells are simply god-like existence, in order to embarrass these players, they really do everything, but if they can be complicated, then it will definitely not be simplified, so if the players do not have a good psychological quality, then it will be very sad.

However, such a thing cannot be regarded as anything at all for the players of the national team, they are all one in a million players, selected from each province and city, and then six of the sixty-three players in the national training camp are finally selected.

These screened players have excellent psychological quality, a large number of practice questions every day, and even terrifying sports waiting for them, even if their mentality collapses, but the improvement of physical fitness also prevents them from physical and mental problems that may occur at any time.

It has to be said that the national team is ...... in terms of developing talents At least the bad mentality has been eliminated.

The two questions wasted a total of two hours and seventeen minutes.

There are still more than two hours left to solve the final question.

As a result, Fang Chao quickly set his sights on the third question on the first day of imo.

The last question is geometry.

In front of Fang Chao are two circles of different sizes, and they are located in the plane Cartesian coordinate system, and they are implicated with each other on the x and y axes, deducing the love and hatred between the two circles.

The small dots between the two circles form a triangle with different side lengths, which Fang Chao calls ABC and A1B1C1.

At the same time, Fang Chao sketched the Euler lines of the two triangles, naming the point where they intersected the point p.

After dozens of minutes, Fang Chao found that the only points could not break the deadlock, he had to create more points, such an intricate situation not only did not trap Fang Chao, but allowed him to find a key clue among the countless points.

He had a flash of inspiration, sacrificed a killing move, took the point p as the outer circle, and made three perpendicular lines, the three points are collinear, and Fang Chao made the Seymour pine line.

But that's not enough!

It's a little bit close!

This data cannot be calculated to be the final result.

If you have two circles, the entanglement is still not exciting enough.

Let's go a little crazier!

War!

Three rounds!

Come on!!

People say that three women are one play, so today Fang Chao is three circles and one play, only by making this situation extremely chaotic can it be possible to win in the chaos and find a glimmer of life.

So Fang Chao made another circle in addition to the two circles, Apollonius circle!

This circle is a circle with a diameter of the line connecting the two equinoxes of the fixed ratio m:n inner and outer divisions.

It's just that at the moment when this circle came out, Fang Chao's whole person suddenly brightened.

"That's exactly what it looks like!"

The professor who wrote the question didn't know which country it came from, but he came up with a very tricky question, and if you didn't think of using the Apollonian circle, then you might have a lot of detours.

But is this really the case When Apollonius came out, the whole picture looked extremely messy, but in Fang Chao's mind, this was a broad road, a straight road to Rome! Others were still thinking about whether to use a boat or a car to get there, Fang Chao directly used an arbitrary door, and from here he instantly arrived at the end gate of the answer.

"Now, who can stop me"

"Long live the national team!"

Fang Chao shouted in his heart, roaring!

After an hour, Fang Chao used Dessaq's theorem to calculate the last node, and as for the next steps, he only needed to substitute the previous data into the final calculation.

After three minutes, Fang Chao put down the pen in his hand and put it aside.

So far, the three questions of the first day of the IMO event have all been completed!

Duration: 3 hours and 18 minutes.

The shortest time to complete on the first day!

Of course, you have to make sure that you have a score of 21.