Chapter 62 New Solutions
Chapter 62
The standard answer to the algebra question was displayed on the large screen in the conference room.
Everyone looked at it together.
"This should be the most standard answer."
"Well, although there are other solutions, they are all heretical. The solution on the screen now should be the most common and easiest to think of."
"The logic is clear and the steps are simple and clear. I think there should be nothing else that needs to be modified. It looks like I can get off work early today."
The team leaders were all talking in low voices and nodding their heads, obviously very satisfied with the standard answer in front of them.
Gu Lu frowned slightly after reading the "standard answer" to the algebra question at a glance.
"Is this question so complicated?"
Gu Lu was puzzled.
The solution process given in the standard answer uses nearly thirty lines of formulas.
When reviewing the questions before, Gu Lu did this question.
Obviously, only a dozen lines of formulas are needed to solve this problem easily.
And the amount of calculation required is not as huge as the "standard answer".
Chairman Andre glanced at everyone and said, "If you have other solutions to this problem, you can submit them now."
As soon as he finished speaking, Gu Lu felt Park Changqu beside him move his chair.
Then he took a piece of A4 paper, walked to Chairman Andre, and said politely, "Chairman, this is my other solution to this question."
Chairman Andre nodded and waved to the assistant beside him.
The assistant took the A4 paper from Park Changqu and projected the answer written by Park Changqu on the screen through the projector.
The new solution provided by Park Changqu has a long process.
A rough count shows that there are at least more than sixty lines of formulas.
Coaches from various countries touched their chins while commenting.
"Through Muirhead's theorem, it's a different approach!"
"The idea is quite strange, but I don't think any of the students would have thought of using this solution."
"The process is fine, and the result is correct, but... it's too complicated. It's twice as complicated as the standard answer."
"No, more than twice! Coach Park's solution requires too many calculations, which not only consumes a lot of time, but is also extremely error-prone."
"But it's still a brand new solution after all! After all, Zhu Yu is in front, and it's already good that Coach Park can do this."
Regarding the new solution proposed by Pu Changqu, everyone has mixed praise and praise, but overall they approve of it.
Gu Lu also read the solution given by Pu Changqu from beginning to end, and the corner of his mouth twitched inadvertently.
It would be better not to mention Pu Changqu's new solution.
It's hard to think of without saying it, it's also difficult to understand, the calculations are complex, and it's extremely easy to make mistakes.
Indeed, through this method, the answer to this algebra problem can indeed be calculated.
As long as the examinee's brain is not convulsed, he will never adopt the solution proposed by Pu Changqu.
Therefore, the solution mentioned by Pu Changqu is dispensable.
But the national team leaders still gave Pu Changqu face.
He simply expressed his approval of Pu Changqu's new solution and formulated the scoring rules perfunctorily.
No one would adopt it anyway, so everyone's attitude was very casual.
Even so, Park Changqu was already very satisfied.
This is the first year that he has led the Korean team to participate in IMO, and he has shown his face in front of the leaders of various countries, demonstrating his personal strength.
Park Changqu returned to his seat feeling good about himself.
When passing by Gu Lu, he gave Gu Lu a proud look.
"Leader Gu, is my solution not enough?" Pu Changqu sat down and asked with a smile.
"It's... not bad." After thinking about it for a while, Gu Lu still didn't tell the truth.
Otherwise, it would be too much of a blow to the self-esteem of the international friend in front of me.
"Sure enough, heroes think alike." Pu Changqu seemed very happy to receive praise from Gu Lu, a former competitor. "Although six years have passed, I have not fallen behind in researching the competition questions."
Pu Changqu began to tell Gu Lu about his hardships in the past six years.
Gu Lu nodded perfunctorily while paying attention to Chairman Andre's movements.
After Pu Changqu, there was another demon king from Bulgaria. Phew, it was a team leader from Bulgaria who came forward to provide another solution to this algebra problem.
It is also an alternative solution, even more complex than Park Changqu's solution.
This time it was even more straightforward. Because the solution was too biased, it was directly rejected by the team leaders.
Chairman Andre sat at the head of the conference table, crossed his fingers, and looked forward calmly, "Do you have any new solutions to this question? If there is no new solution, then we will move on to the next link.
, translate these three questions.”
"……Wait a mininute."
A voice sounded.
Pu Changqu suddenly noticed that Gu Lu, who was sitting next to him, slowly stood up.
"Leader Gu, what are you doing?" Pu Changqu wondered.
Gu Lu shrugged and smiled, "Of course, just like you just now, I went over to provide new solutions!"
Pu Changqu: "???"
Gu Lu also has a new solution?
Pu Changqu's expression instantly became serious.
He has always had the idea of competing with Gu Lu.
I thought there would be no opportunity for a head-on confrontation this time, but now, the opportunity is right in front of me.
As long as Gu Lu shows his new solution and compares it with the solution he just provided, the winner will naturally be determined.
Pu Changqu was still very confident in his solution just now.
He does not believe that, in addition to the standard answer, someone will write a solution that is better than his own.
Park Changqu looked at Gu Lu who turned around and walked in the direction of Chairman Andre, full of fighting spirit.
However, he soon realized something was wrong.
He found that Gu Lu's hands were empty.
Then where is the solution process he wrote?
Not only Park Changqu, but also many team leaders in the conference room discovered this, including Chairman Andre.
"What's your problem-solving process?" Looking at Gu Lu, Chairman Andre asked with a smile on his face.
Gu Lu pointed to his head and curled his mouth, "They're all here."
"Do you mind if I use the computer?" Gu Lu asked Chairman Andre's assistant.
"Excuse me." The assistant glanced at Chairman Andre, saw him nodding, and made way for Gu Lu.
Gu Lu leaned down, controlled the computer used to control the screen display in the conference room, and opened a document.
Under the curious gazes of the other team leaders, Gu Lu typed quickly on the keyboard with both hands.
Ten seconds later.
More than a dozen lines of formulas appeared on the big screen in the conference room.
[...F(x,y,λ)=f(z,y)λφ(x,y)
(x0,y0,λ0) is the stationary point of function F(x,y,λ)
F(x,y,z,λ)=f(z,y,x)λφ(x,y,z)=8xyzλ(x^2/a^2y^2/b^2z^2/c^2-
1)
Taking the partial derivative of F(x,y,z,λ) we get:
………]
…………
Chapter completed!