[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"origin-joyful-youth-many-children-many-blessings-starti":3,"chapter-joyful-youth-many-children-many-blessings-starti-joyful-youth-many-children-many-blessings-starti-chapter-63":6},{"origin":4,"title":5},"chinese","Joyful Youth: Many Children, Many Blessings, Starting with Song Qian",{"chapter":7,"nextChapterSlug":20,"prevChapterSlug":21,"totalChapters":22,"novelImage":23},{"id":8,"novel_id":9,"title":10,"slug":11,"index":12,"content":13,"wordcount":14,"created_at":15,"updated_at":16,"volume":17,"translator":18,"content_hash":19},2151633,3583,"Chapter 63","joyful-youth-many-children-many-blessings-starti-chapter-63",63,"\u003Cp>and the time the students took to think became longer and longer.\u003C\u002Fp>\u003Cp>After waiting for a few minutes,\u003C\u002Fp>\u003Cp>seeing that no students were raising their hands,\u003C\u002Fp>\u003Cp>the instructor flipped through the class roster,\u003C\u002Fp>\u003Cp>and then said: \"How about this, since no one is raising their hands anymore, I'll call on someone to answer.\"\u003C\u002Fp>\u003Cp>\"You, Qin Feng. You're a college entrance exam top scorer with a perfect math score, after all; don't let me down!\"\u003C\u002Fp>\u003Cp>\"Alright, teacher.\"\u003C\u002Fp>\u003Cp>Being called by name,\u003C\u002Fp>\u003Cp>Qin Feng stood up and interpreted the example using conventional thinking.\u003C\u002Fp>\u003Cp>The instructor nodded with satisfaction upon hearing this, indicating it was not bad.\u003C\u002Fp>\u003Cp>But at this moment,\u003C\u002Fp>\u003Cp>Zhu Yun, who had been sitting in the back row, suddenly made a sound: \"With this kind of problem-solving thinking, you can still get a perfect score in math?\"\u003C\u002Fp>\u003Cp>Then,\u003C\u002Fp>\u003Cp>Zhu Yun stood up, lifted her chin at Qin Feng,\u003C\u002Fp>\u003Cp>and then looked at the instructor and said: \"Teacher, I thought of 3 other feasible ways to solve the problem. Can I say them?\"\u003C\u002Fp>\u003Cp>\"Of course.\"\u003C\u002Fp>\u003Cp>The instructor, hearing this, expressed appreciation for Zhu Yun: \"Actually, there aren't many students in mathematics who can apply what they've learned and draw inferences about other cases. Classmate Qin Feng, you should learn well from this female classmate!\"\u003C\u002Fp>\u003Cp>.......\u003C\u002Fp>\u003Cp>After receiving the instructor's praise,\u003C\u002Fp>\u003Cp>Zhu Yun once again lifted her chin,\u003C\u002Fp>\u003Cp>looking at Qin Feng with a proud and spoiled expression.\u003C\u002Fp>\u003Cp>Then,\u003C\u002Fp>\u003Cp>Zhu Yun loudly stated her three problem-solving methods one by one.\u003C\u002Fp>\u003Cp>Hearing Zhu Yun's answer,\u003C\u002Fp>\u003Cp>the instructor’s joy gradually showed on his face,\u003C\u002Fp>\u003Cp>and the surrounding students also slowly revealed expressions of sudden enlightenment, sighing one after another that it was possible to start solving the problem from such an angle.\u003C\u002Fp>\u003Cp>However,\u003C\u002Fp>\u003Cp>when Zhu Yun finally stated the third problem-solving approach,\u003C\u002Fp>\u003Cp>the instructor’s expression changed slightly,\u003C\u002Fp>\u003Cp>and his eyes carried a trace of confusion and doubt.\u003C\u002Fp>\u003Cp>At the same time,\u003C\u002Fp>\u003Cp>Qin Feng also looked slightly surprised and turned his head to look at Zhu Yun.\u003C\u002Fp>\u003Cp>The other students didn't notice anything,\u003C\u002Fp>\u003Cp>still taking notes in a hurry with a learning mindset.\u003C\u002Fp>\u003Cp>But after waiting for two minutes,\u003C\u002Fp>\u003Cp>Qin Feng and the instructor spoke at the same time: \"Wait a moment!\"\u003C\u002Fp>\u003Cp>After speaking in unison,\u003C\u002Fp>\u003Cp>the instructor looked at Qin Feng: \"Classmate Qin Feng, you discovered it too?\"\u003C\u002Fp>\u003Cp>\"Yes.\"\u003C\u002Fp>\u003Cp>Qin Feng nodded, looked at the instructor and said: \"Teacher, the data variable formulas used by classmate Zhu Yun in the third problem-solving approach just now are all wrong, so it will lead to an error in the entire calculation result.\"\u003C\u002Fp>\u003Cp>\"Wrong?\"\u003C\u002Fp>\u003Cp>Zhu Yun, hearing this, had a very surprised expression: \"That can't be, I shouldn't be wrong. Teacher, classmate Qin Feng, I verified these three problem-solving approaches repeatedly in my mind, and the results were all the same.\"\u003C\u002Fp>\u003Cp>\"Are the calculation results the same?\"\u003C\u002Fp>\u003Cp>The instructor was slightly stunned upon hearing this,\u003C\u002Fp>\u003Cp>and after thinking for a moment, he understood the reason.\u003C\u002Fp>\u003Cp>However, the instructor didn't explain it directly,\u003C\u002Fp>\u003Cp>but looked at Qin Feng and asked: \"Classmate Qin Feng, when the data variable formulas are used incorrectly, but the final data calculation result is the same, what is the reason for this?\"\u003C\u002Fp>\u003Cp>The instructor's question\u003C\u002Fp>\u003Cp>made Qin Feng the focus of the entire room.\u003C\u002Fp>\u003Cp>Many students were looking at Qin Feng, whispering about various possibilities.\u003C\u002Fp>\u003Cp>And at this moment, Zhu Yun\u003C\u002Fp>\u003Cp>was staring at Qin Feng unconvinced.\u003C\u002Fp>\u003Cp>She also wanted to know, why was this?\u003C\u002Fp>\u003Cp>Qin Feng, hearing this, smiled slightly: \"The variable formulas are used incorrectly, but the calculation result is the same; there is only one reason for this.\"\u003C\u002Fp>\u003Cp>\"That is, besides the approach being correct, classmate Zhu Yun's third problem-solving method is wrong from beginning to end.\"\u003C\u002Fp>\u003Cp>\"However, because of the preconceived notion, classmate Zhu Yun constantly corrected and changed things during the problem-solving process, thereby ensuring the consistency of the final answer.\"\u003C\u002Fp>\u003Cp>\"How is that possible?!\"\u003C\u002Fp>\u003Cp>As soon as Qin Feng finished speaking,\u003C\u002Fp>\u003Cp>Zhu Yun argued loudly: \"Teacher, Qin Feng, I can be sure that my third method absolutely has no problems.\"\u003C\u002Fp>\u003Cp>\"Teacher, I request to perform the calculation on the spot to prove myself!\"\u003C\u002Fp>\u003Cp>After saying this,\u003C\u002Fp>\u003Cp>before the instructor could agree,\u003C\u002Fp>\u003Cp>Zhu Yun walked down the tiers,\u003C\u002Fp>\u003Cp>stood outside the podium,\u003C\u002Fp>\u003Cp>and turned to look at Qin Feng: \"Classmate Qin Feng, can we make a bet?\"\u003C\u002Fp>\u003Cp>\"Hmm?\"\u003C\u002Fp>\u003Cp>Qin Feng asked, somewhat confused: \"Bet on what?\"\u003C\u002Fp>\u003Cp>\"Bet on the seat you are sitting in right now!\"\u003C\u002Fp>\u003Cp>Zhu Yun pointed at Qin Feng's seat: \"Qin Feng, if I win, then starting from the next math class, you must be responsible for saving a seat for me. That is to say, you can only sit in this seat if I sit there!\"\u003C\u002Fp>\u003Cp>After hearing Zhu Yun's request,\u003C\u002Fp>\u003Cp>Qin Feng smiled speechlessly. Women, indeed, are all petty.\u003C\u002Fp>\u003Cp>It's just that\u003C\u002Fp>\u003Cp>the instructor and Qin Feng had both discovered and confirmed at the first moment that there was a problem with Zhu Yun's third solution,\u003C\u002Fp>\u003Cp>so she definitely couldn't win.\u003C\u002Fp>\u003Cp>Therefore,\u003C\u002Fp>\u003Cp>Qin Feng asked back with a smile: \"Then what if you lose?\"\u003C\u002Fp>\u003Cp>\"I won't lose!\"\u003C\u002Fp>\u003Cp>Qianxun Resource Group 255595300\u003C\u002Fp>\u003Cp>Zhu Yun's response was very certain.\u003C\u002Fp>\u003Cp>The instructor, hearing this, smiled and looked at Zhu Yun, shaking his head slightly.\u003C\u002Fp>\u003Cp>Other students, seeing this,\u003C\u002Fp>\u003Cp>spoke up for Qin Feng: \"Classmate Zhu Yun, you only win and never lose, what kind of bet is that?\"\u003C\u002Fp>\u003Cp>\"Exactly, you were the one who took the initiative to bet with classmate Qin Feng, you didn't even state the conditions, what are you betting for?\"\u003C\u002Fp>\u003Cp>\"Classmate Zhu Yun, don't be overly confident. Classmate Qin Feng has a perfect math score!\"\u003C\u002Fp>\u003Cp>\"Fine.\"\u003C\u002Fp>\u003Cp>Hearing the students' rebuttal,\u003C\u002Fp>\u003Cp>Zhu Yun said confidently: \"Classmate Qin Feng, you set the conditions. If I lose, I will do whatever you tell me to do.\"\u003C\u002Fp>\u003Cp>\"Fine.\"\u003C\u002Fp>\u003Cp>Qin Feng nodded: \"If you lose, then you will be responsible for helping the instructor erase the blackboard for a month.\"\u003C\u002Fp>\u003Cp>\"Haha, that's not bad.\"\u003C\u002Fp>\u003Cp>The instructor, hearing this,\u003C\u002Fp>\u003Cp>smiled happily and nodded at Qin Feng.\u003C\u002Fp>\u003Cp>And at this moment, Zhu Yun\u003C\u002Fp>\u003Cp>also lifted her chin at Qin Feng and said extremely stubbornly: \"Fine, I agree.\"\u003C\u002Fp>\u003Cp>After saying this,\u003C\u002Fp>\u003Cp>Zhu Yun walked onto the podium, picked up a piece of chalk, and began to calculate.\u003C\u002Fp>\u003Cp>And all the students present,\u003C\u002Fp>\u003Cp>at this time, were also looking at the blackboard with Qin Feng and the instructor, waiting for the final result.\u003C\u002Fp>\u003Cp>At the beginning,\u003C\u002Fp>\u003Cp>Zhu Yun wrote very fast.\u003C\u002Fp>\u003Cp>But when the problem-solving process reached one-third,\u003C\u002Fp>\u003Cp>Zhu Yun stopped,\u003C\u002Fp>\u003Cp>looked back at her own calculation process,\u003C\u002Fp>\u003Cp>and her face turned red in an instant.\u003C\u002Fp>\u003Cp>After checking the previous calculation steps one by one,\u003C\u002Fp>\u003Cp>Zhu Yun knew\u003C\u002Fp>\u003Cp>that by the step where she stopped writing,\u003C\u002Fp>\u003Cp>she had already made many mistakes.\u003C\u002Fp>\u003Cp>It was practically one mistake after another with every step she wrote.\u003C\u002Fp>\u003Cp>This situation was exactly the same as what Qin Feng said.\u003C\u002Fp>\u003Cp>Zhu Yun's third solution\u003C\u002Fp>\u003Cp>was wrong from the very beginning.\u003C\u002Fp>\u003Cp>It was just because Zhu Yun knew the detailed process and the correct answer to this problem,\u003C\u002Fp>\u003Cp>that she persisted in her error,\u003C\u002Fp>\u003Cp>constantly correcting the values during the wrong problem-solving process,\u003C\u002Fp>\u003Cp>and in the end, she actually managed to get the correct answer by mistake!\u003C\u002Fp>\u003Cp>Zhu Yun knew\u003C\u002Fp>\u003Cp>that she had already made a ridiculously large mistake.\u003C\u002Fp>\u003Cp>But at this moment,\u003C\u002Fp>\u003Cp>there were so many pairs of eyes behind her watching her,\u003C\u002Fp>\u003Cp>and,\u003C\u002Fp>\u003Cp>she had just made a bet with Qin Feng with such certainty.\u003C\u002Fp>\u003Cp>If she just put down the chalk and admitted defeat now,\u003C\u002Fp>\u003Cp>she would definitely be mercilessly mocked by Qin Feng and the classmates.\u003C\u002Fp>\u003Cp>Therefore,\u003C\u002Fp>\u003Cp>after thinking carefully for a while,\u003C\u002Fp>\u003Cp>Zhu Yun bit the bullet,\u003C\u002Fp>\u003Cp>picked up the chalk again, and continued to calculate on the blackboard...\u003C\u002Fp>\u003Cp>Seeing Zhu Yun refuse to correct her mistake,\u003C\u002Fp>\u003Cp>the instructor frowned slightly,\u003C\u002Fp>\u003Cp>and then,\u003C\u002Fp>\u003Cp>met Qin Feng's gaze and shook his head helplessly with a smile.\u003C\u002Fp>\u003Cp>Among many subjects,\u003C\u002Fp>\u003Cp>mathematics has the most rigorous requirements.\u003C\u002Fp>\u003Cp>If it's wrong,\u003C\u002Fp>\u003Cp>it's wrong.\u003C\u002Fp>\u003Cp>Even if it's just one symbol or one unit that is wrong,\u003C\u002Fp>\u003Cp>it will directly affect the final result of the mathematical calculation.\u003C\u002Fp>\u003Cp>Two minutes later,\u003C\u002Fp>\u003Cp>Zhu Yun stopped writing again.\u003C\u002Fp>\u003Cp>She carefully checked all her calculation processes back and forth,\u003C\u002Fp>\u003Cp>knowing that she had already made mistakes to a ridiculous degree.\u003C\u002Fp>\u003Cp>But Zhu Yun still felt that there was no problem with her problem-solving approach.\u003C\u002Fp>\u003Cp>Biting her lip tightly,\u003C\u002Fp>\u003Cp>Zhu Yun checked the entire calculation process carefully one more time,\u003C\u002Fp>\u003Cp>and finally had to accept her failure.\u003C\u002Fp>\u003Cp>Then she sighed softly,\u003C\u002Fp>\u003Cp>slowly turned around,\u003C\u002Fp>\u003Cp>and bowed to the instructor and the classmates to apologize: \"I'm sorry, teacher. I'm sorry, classmate Qin Feng. I'm sorry, classmates...\"\u003C\u002Fp>\u003Cp>\"The teacher and classmate Qin Feng were right. I was wrong about this problem from the beginning, and in order to correct the calculation process, every step I took afterward was wrong upon wrong...\"\u003C\u002Fp>\u003Cp>Seeing that Zhu Yun bowed and apologized to him and the classmates immediately after realizing her mistake,\u003C\u002Fp>\u003Cp>the instructor’s attitude was somewhat approving.\u003C\u002Fp>\u003Cp>He nodded and said: \"Classmate Zhu Yun, mathematics indeed requires a research spirit of not turning back until you hit the south wall, but not the kind of persisting in error like you did.\"\u003C\u002Fp>\u003Cp>\"But fortunately, you have now admitted your mistake and apologized to me and everyone.\"\u003C\u002Fp>\u003Cp>\"Actually, just as classmate Qin Feng said, your problem-solving approach is not problematic, but the problem lies in the first step of your problem-solving, because you were wrong from the first step.\"\u003C\u002Fp>\u003Cp>The instructor turned his head to look at Qin Feng: \"Qin Feng, can you correctly solve this problem using classmate Zhu Yun's problem-solving approach?\"\u003C\u002Fp>\u003Cp>\"I can, teacher.\"\u003C\u002Fp>\u003Cp>Qin Feng nodded and walked slowly onto the podium.\u003C\u002Fp>\u003Cp>Seeing that Zhu Yun, who was on the side, was standing still,\u003C\u002Fp>\u003Cp>Qin Feng reminded her with a smile: \"Classmate Zhu Yun, it's time to erase the blackboard!\"\u003C\u002Fp>\u003Cp>\"I know.\"\u003C\u002Fp>\u003Cp>Although Zhu Yun was still somewhat unconvinced by Qin Feng,\u003C\u002Fp>\u003Cp>she still obediently picked up the blackboard eraser,\u003C\u002Fp>\u003Cp>and erased all of her problem-solving process.\u003C\u002Fp>\u003Cp>Then,\u003C\u002Fp>\u003Cp>554707555\u003C\u002Fp>\u003Cp>Zhu Yun looked at Qin Feng, waiting for Qin Feng to write out the problem-solving process and the answer.\u003C\u002Fp>\u003Cp>\"Teacher, classmates.\"\u003C\u002Fp>\u003Cp>Qin Feng wrote down several important pieces of data for the problem on the blackboard,\u003C\u002Fp>\u003Cp>and then said loudly: \"Although this problem-solving approach of classmate Zhu Yun is feasible, compared to the conventional method, it is actually a bit of a detour.\"\u003C\u002Fp>\u003Cp>\"To give an example, this problem is like going from point A to point B. The conventional method the teacher taught the classmates, although the most common, is also the shortest distance and the one with the best road conditions.\"\u003C\u002Fp>\u003Cp>\"And this problem-solving approach of classmate Zhu Yun is actually going from point A to point C first, then crossing a small path to reach point D, and then crossing a river from point D to point B.\"\u003C\u002Fp>\u003Cp>\"Although this is indeed a problem-solving approach, compared to the conventional method, it takes a lot more road and is much more troublesome.\"\u003C\u002Fp>\u003Cp>\"Therefore, this approach can be used to show off skills, but its practical value is not great.\"\u003C\u002Fp>\u003Cp>As Qin Feng spoke,\u003C\u002Fp>\u003Cp>he first wrote out the conventional problem-solving process on the blackboard,\u003C\u002Fp>\u003Cp>and then,\u003C\u002Fp>",1882,"2026-06-16T19:07:54.767Z","2026-06-17T08:56:24.023Z",1,"Gemini 3.1 Flash Lite","ce3d17a9b4e312fb49a838d9ab96cbae65e19ff865f9290df05386f4f3f030cd","joyful-youth-many-children-many-blessings-starti-chapter-64","joyful-youth-many-children-many-blessings-starti-chapter-62",441,"https:\u002F\u002Fnovelzhen.com\u002Fimages\u002Fcovers\u002Fjoyful-youth-many-children-many-blessings-starti-cover.jpg"]