"The largest integer k such that 10 to the power of k divides the factorial of 199."
Wu Tong read the question carefully and had an idea. It was not a very complicated question and the meaning of the question was very clear.
Wu Tong took Teacher Li's pen and continued writing down the solution on his draft paper. According to Theorem 3, the exponent of 5 in the decomposition of 199! is ···, and the positive integer K containing 2 is 47, ···
"So, the largest positive integer we are looking for is K, which is equal to 47, Teacher Li!" Wu Tong looked at Li Yisheng and gave the answer without hesitation.
After Wu Tong announced the answer, Li Yisheng's eyes instantly became brighter than Teacher Zhou from the Admissions Office. His excitement almost broke through the wall and finally turned into a deep sigh.
"Teacher, it's a pity that I met you only now. If you are willing, I invite you to go directly to Kyoto University to study in advance. The Department of Mathematics at Kyoto University welcomes you!"
"Teacher Zhou, this is a math graduate exam question. Wu Tong's answer is clear and concise, and it's correct!"
"Wu Tong has already mastered college math thoroughly! Her level of knowledge is almost equivalent to that of a Peking University graduate student. For a child like her to remain in a small county with poor educational resources, trapped in a county high school with mechanical practice tests, would be a true waste of talent!"
I feel so sorry for him!
Despite the scarce resources and limited teaching materials, he has been able to reach this level through self-study. This child's talent and learning ability are simply astonishing!
If this child grew up in an environment with abundant educational resources, if they could have met this child earlier, then how dazzling this child's growth would have been!
Fortunately, this child is only sixteen years old, and they are lucky enough to meet this child! As long as this child grows up, he will not be surprised if this child can surpass his achievements and become the pride of Beijing University.
Professor Li pointed at the student representatives who were watching the scene and said, "Just look at the expressions of those unimpressive guys and you'll know Wu Tong's level!"
"Hehe..." Several seniors smiled awkwardly. Teacher, don't look at them. They are really just ordinary little shrimps struggling to survive!
Compared with the evil bosses who are fighting for the school’s million-dollar bonus, they are not worthy!
"Thank you for your compliment, Teacher Li. Mathematics is a very profound subject. I am probably still circumventing the threshold and haven't gotten started. I haven't been exposed to all the university textbooks, and there may be some things I haven't learned or mastered. I still need to continue learning!" Wu Tong said modestly with embarrassment. She studied in a different field, so it was hard to compare her with her seniors.
"The way my seniors deal with people and their thoughtfulness and meticulousness are what I want to learn!" I just enjoyed their care, and I can't let my seniors lose face.
As soon as these words were spoken, several student representatives immediately gave grateful looks to their future junior schoolmates. What a good person!
"Go back and pay attention to the advanced mathematics." Li Yisheng gave a warning look to those who were happy and waiting for him.
Signing the contract was the most important thing. Teachers Zhou and Li did not waste time. In the presence of her parents and Coach Zhang, Wu Tong formally signed her name on the final agreement prepared by the Peking University Admissions Office, and made up her mind to enroll in Peking University in advance after the beginning of the year.
"Classmate Jin Xin, do you want to come to Peking University to study with me? Your grades are not bad, why don't you go to Peking University with our classmate Wu Tong?" After calming down, the atmosphere during the signing process was more relaxed. Mr. Zhou from the Admissions Office chatted with the Jin and Wu families about family matters.
Knowing that Jin Xin had been tutored by Wu Tong in the past few months and that his grades had improved by leaps and bounds and were now above 660, especially in math and comprehensive science, where he had firmly stood above 140+ and 280+, he couldn't help but recruit him with a smile.
This score is really not far from the admission score of Peking University. Especially in mathematics and comprehensive science, it can be said that he is very good. With the strong support and tutoring from Wu Tong, his college entrance examination score is definitely an unexpected dark horse, which makes people happy. It is definitely worth it to package it with Wu Tong.
"Hehe... Peking University was the goal agreed upon by Tongtong and me. Now, I have decided on my direction and want to apply to a military academy!" Jin Xin scratched his head embarrassedly. When he was just in his third year of high school, he would have agreed wholeheartedly upon hearing this news. But now, it would be inappropriate for him to take advantage of Tongtong.
"You're going to apply to a military academy, what an ambition! The teacher wishes you a bright future!" Teacher Zhou applauded and praised them. This family is really good at raising children. Each of these two children has their own clear goals and works tirelessly for them. It's really enviable!
After the signing was completed, Teacher Zhou was particularly thoughtful and arranged a midnight snack and invited the other members of the Central Plains Provincial Team. Adhering to his professional habit of reaping the rewards, he promoted Beijing University to the remaining players of the Central Plains Provincial Team.
The Zhongyuan Provincial Team performed well this year. In addition to Wu Tong, who achieved the unprecedented perfect score for the CMO, two other athletes also won the gold medal and first-place national championship. Among them, Feng Yueyue, with a score of 87, surpassed this year's national team cutoff and qualified for the national training team. This means that two people from Zhongyuan Province will be selected for the national training team this year, a remarkable achievement that has Coach Zhang Ping and Teacher Xiao Zhang very happy.
Teacher Zhou was also very happy. He and Feng Yueyue, who ranked second in Zhongyuan Province and 30th in CMO, finalized an agreement for admission to the Department of Mathematics of Peking University, as well as another national first-class gold medalist, to Peking University's Strong Foundation Program.
"I'll send you some textbooks later. Take your time to study them. If you have any questions, feel free to ask me. We'll discuss them together when we get to Peking University." Before Wu Tong returned to his room, Professor Li gave him his copy of analytic number theory and gave him some advice. He was actually more interested in functional analysis, and was studying number theory to apply it to other areas. He happened to have this textbook, so he decided to give it to his child first.
He felt heartbroken just thinking about how such a talented student couldn't continue studying because he couldn't borrow textbooks!
"Thank you, Teacher Li. See you at Peking University after the New Year. I'll go and wish you a happy new year!" The county town really couldn't provide her with more learning resources. In addition to the training camp after the New Year, Wu Tong planned to go to the capital at the beginning of the year.
This year's IMO national team was training in Jiangcheng. According to Teacher Li's advance notification, their class would be directly accepted by Peking University and would train there next year. She could go there early, and the university would arrange her studies and life.
The next day at 9:00 am, the awards ceremony for the 24th China Mathematical Olympiad was held. Hosted by the Chinese Mathematical Society, the awards ceremony began with great fanfare.
This year, as an odd-numbered year, the exam setters have increased the difficulty, and the cutoff score for the national first-place prize is unprecedentedly low. The national first-place score is 66 points, and the national training team's cutoff score is 75 points.
This year, a total of 42 national first-place winners and 30 national training team members were selected. The second-place score is 50 points, and third-place winners are not counted. Those who qualify for the national competition generally receive these as consolation prizes.
When the news reached Zhongyuan Province, the people in Zhongyuan who were following the news were delighted.