On the second day, the written test officially began. The full score of the entire test paper was 200 points. The question types were five fill-in-the-blank questions, each worth 10 points, and seven essay questions. The first six questions were worth 20 points each, and the last question was worth 30 points.
The distribution of scores can roughly show the difficulty level of the questions, which start easy and then become difficult, and the scores gradually increase.
Although the Chinese team has a total of seven players, two of them are substitutes and can only play in case of accidents with other players. But they are in good condition now, so the five players who were previously decided will participate in the competition, namely: Su Qingyun, Chen Zheyu, Chen Ru, Mu Qiu, and Li Siyuan.
For the written examination, there were more than 200 contestants from dozens of countries and regions, all of whom were shuffled and distributed in several examination rooms. The examination lasted a total of three and a half hours.
Three and a half hours to finish twelve questions may seem like plenty of time, but in fact the time is very tight. These are not ordinary questions. The amount of calculation is very large and the difficulty is also very high. It takes a lot of time from reviewing the questions, thinking to actually writing, not to mention the time to complete the entire question and check it later.
For three and a half hours, every contestant needs to race against time, but also needs to keep absolutely calm. Only by running fast and well can a good result be achieved.
Contestants from different countries were in the same examination room, and the test papers were written in different languages, so they could not understand each other at all, which basically eliminated the possibility of cheating.
In the huge classroom, all the contestants held their breath, their eyes fixed on the invigilator on the stage... The feeling of uncertainty on the test papers in their hands made everyone's heart rise.
After the invigilator handed out all the test papers, he checked the time and finally said, "The exam has begun. Please start answering the questions."
Everyone held their pens and looked at the test papers together.
The moment she got the test paper, Su Qingyun took a quick glance at all the questions. Her expression remained the same for the previous questions. The question types and test points were basically within her expectations. There were no surprises. Before the test, everyone had reviewed them together, and they shouldn't have any problems with these questions. But this last question...
Su Qingyun raised his eyebrows in surprise and tapped his fingers on the table unconsciously. This last question was quite interesting.
She thought about it and decided to skip the previous questions and go straight to the last one.
Suppose positive integers a and b satisfy ab+1 can divide a2+b2. Prove that (a2+b2)/(ab+1) is a perfect square number.
(ps: The question comes from Baidu, professional knowledge is limited, please be gentle.)
Su Qingyun held the pen in his hand, turned it a few times unconsciously, and then began to write.
From the question, we know that positive integers a and b satisfy...
She wrote quickly, almost without pause, very smoothly, as if she already had the exact answer in her mind and was just writing it down. Soon, she had written half a page.
Behind Su Qingyun was a contestant from Country E, scratching his head and calculating non-stop on his scratch paper while facing the fill-in-the-blank questions on the front of the test paper. He glanced up and saw Su Qingyun writing furiously on the test paper. Although he couldn't see the specifics of her writing, the question...
No, why is she already working on the last question?! The E country team member was stunned and looked at the wall clock uncertainly. Didn’t the exam just start?
After taking a closer look, he realized that the front of the person's test paper was still blank. He instantly breathed a sigh of relief. That is to say, the exam had just begun, it was so scary.
However, he was convinced. The order of answering questions was easy first and then difficult. It was the first time he saw someone starting from the last question when doing a test. Could it be that the previous questions were not challenging for her?
This thought just flashed through his mind and he smiled, then lowered his head to continue working on his test paper. The most important thing in an exam is to concentrate on yourself and not be influenced by others or the outside world.
Time passed by minute by minute. Su Qingyun wrote the last sentence and finished the last question. She turned the test paper back to the front with a happy expression and did the fill-in-the-blank questions.
She wrote even faster on the fill-in-the-blank questions. She had almost no time to think and didn't need any scratch paper to calculate. She just wrote down the answers directly. It only took her a few minutes to finish the five fill-in-the-blank questions, and then she continued to work on the answer questions.
Su Qingyun finished the six test questions and looked at the time. Only half an hour had passed. At this time, just one hour had passed in the whole exam, and Su Qingyun had already put down his pen. The test paper was filled with neatly arranged words and looked very pleasing to the eye.
After finishing the test paper, but not being able to hand it in early, Su Qingyun stared at the wall clock boredly, twirling his pen and starting to daydream.
Everyone was writing furiously with their heads down, but she was the only one looking up at the wall. The invigilator who was walking around the examination room soon noticed this unusual scene. He frowned and walked directly to Su Qingyun in two steps.
The invigilator, who was about to knock on her desk to remind her, was stunned the moment he saw Su Qingyun's test paper. The test paper was filled with dense writing. Was this... finished?
The invigilator subconsciously looked up and checked the time, then fell silent. If he was not mistaken, the exam had only been going on for an hour, right? And this candidate had already finished?
Wasn't this a bit too fast? With only an hour to spare, the invigilator was a little unsure whether this was a serious effort or a casual scrawl.
Yellow skin, square characters, Chinese? He looked at Su Qingyun carefully again and suddenly recognized her. He remembered this little girl. At the opening ceremony yesterday, this little girl was the youngest among all the participating players.
Being the youngest and answering the questions the fastest, the invigilator was really unsure. After all, it was an exam, and he couldn't say anything extra. He could only walk away with a lot of doubts in his mind.
During the rest of the exam, he kept paying attention to Su Qingyun, watching her twirling her pen from time to time, and occasionally gazing out the window. Finally, seemingly out of sheer boredom, she actually... fell asleep on the table?!
The invigilator was stunned. She fell asleep? She fell asleep during such an important exam?
He looked at the other contestants who were nervous and anxious, and then looked at Su Qingyun who was lying down and sleeping. The strong contrast made him twitch his lips. Putting aside other things, at least this little Chinese girl's psychological quality is really strong.
It was not only the invigilator who noticed Su Qingyun, but also the other candidates who were struggling to finish the test. Looking at the sleeping figure, they were numb. They were so anxious, how could that person sleep?
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