Chapter 8: The Monkey Picks Peaches
"In the second question, the five monkeys picked a bunch of peaches together, because they were too tired, they discussed and decided to sleep first and then divide. After some time, a monkey came, and when he saw that the other monkeys had not come, he divided the pile of peaches into five equal parts, and when there was one more, he ate the extra one, and took away one of them, and after some time, the second monkey also came, and he did not know that a companion had come, and thought that he was the first to arrive, so he piled up the peaches on the ground and divided them into five equal parts, and found that there was one more, and ate this one as well. The third, fourth, and fifth monkeys are like that, so how many peaches did the five monkeys pick at least? How many peaches are left after the fifth monkey is gone?"
This question is much more difficult than the one just now.
Xu Jun frowned, she really wanted to be able to crack it, but she was at a loss, so she could only use the trial calculation method, and her brain was running rapidly.
"I have the results for this second question, 3121, hum, I don't believe you can check it. ”
The words were said to Liu Meng.
It's a completely conceited little girl who loses her temper and is extremely proud.
"This answer is correct, Xu Jun, your talent is really much stronger than me and Dumb, and you have the most hope of becoming a scholar." Lehi said in surprise.
Zhao Dai looked at it stupidly, he was completely confused by this question.
Liu Meng ate the pastry and shook his head slightly.
Xu Jun didn't like it, "What are you shaking your head?"
Li Hai also looked at it curiously, could it be that Liu Meng had seen the answer to this example again?" "Xu Jun, let's let the descendants of our scholars say it first, and then it's not too late to judge." ”
I'm looking forward to it and I can't believe it, this topic is difficult!
"You're trying to calculate, right? This is the question of the law of perception, and it is meaningless to just know one result, so I want to ask you, is there any other answer besides this 3121? What is the answer?"
Knowing the rules, Liu Meng immediately entered the state of super, awesome, god-level, and scholarly.
Xu Jun argued: "This question is about the smallest number of peaches, I tried to calculate from the beginning, 3121 must be the smallest number, I, no matter what, can be regarded as the correct number to solve this problem." ”
The little girl was very proud, this question was much more difficult than the one just now.
"If you're just chasing an answer, you're losing the point of discussion. Liu Menggaba bit a winter date.
"What qualifications do you have to say that I really think I'm so good when I come across an example? Do you know any other answers? Heh, dare to ask you what level of computing power you have?"
Lehi watched quietly.
Liu Meng licked his mouth, burped, sighed comfortably, and said, "The result can still be 6246, 9371, 12496, 15621, 18746, 21871, 24996, 28121,...... I can tell you how many you need to meet the conditions. ”
When Liu Meng said, Xu Jun was checking the calculation, and I have to say that her calculation speed is really fast, and she verified that the three numbers were correct in a row, and her face began to change slightly, and finally she was completely red.
"You...... How did you figure it out?"
Li Hai looked at Liu Meng in shock, this question is very difficult, and he can say so many answers, which means that he must have seen the solution.
"If the problem changes from 5 to 6, or 7, 11, 13, or even 17, then do you do the same calculation? If there are more than 100, then do you know how huge the minimum number will be? ”
Xu Jun's face was a little ugly, although she was very unhappy, she had to admit that Liu Meng was right, she didn't find a way to solve the problem.
Li Hai took a breath, relieved from the shock, and said in surprise: "Brother Liu Meng, do you know the real solution to this problem? This is an extremely difficult and extremely difficult problem, the law contained in it is very mysterious, just this problem, I spent three golden horns to buy it, if you add a perfect method to solve the problem, then it ......"
He swallowed, "That's pretty good." ”
Zhao Dai didn't understand it at all, and said with a smile: "Liu Meng is a descendant of scholars, of course he is amazing." ”
He didn't mean to be ridiculous when he said this, his head was very simple.
Xu Jun also eagerly wanted to hear how Liu Meng solved the problem, and he didn't dare to say anything sour, in case he annoyed people and didn't say it, it would be too much loss.
Liu Meng said slowly: "Take 5 monkeys and peaches as an example, the difficulty of the problem is that there are 1 more peaches in each score, in fact, it can be understood that there are 4 peaches less, first lend them 4 and then divide, although there are 4 more peaches, the peaches that each monkey gets will not increase, and of course it will not decrease, so that each time it is just divided into 5 piles, it is easy to calculate." ”
The three of them listened in a daze.
That is to say, the number of peaches increased by 4 can be divisible by the 5th power of 5, so it is at least 3125, return the borrowed 4 peaches, it can be seen that 5 monkeys have picked at least 3121, then the number of other conditions that meet the conditions is an integer multiple of 3125 minus 4, which is the general solution to this problem. ”
Xu Jun jumped up suddenly, and suddenly Mao Sai suddenly opened, "It's that simple?"
"It's as simple as that. Liu Meng shrugged and said, the key is thinking ability, that is, the law.
Li Hai also understood, and said excitedly: "This question, I'm not afraid of your jokes, I've been thinking about it for more than a month, and I've already tried to calculate the result of 3121, but I didn't expect there to be such a concise algorithm, it's just ingenious to the extreme, genius, really genius." ”
Liu Meng nodded, and said in his heart Of course I am a genius, but I didn't expect Li Hai to say next: "The person who thought of this solution must be a super genius, Liu Meng, where did you see the solution?"
Xu Jun's face turned red with excitement, the solution to this problem inspired her a lot, and if she studied it deeply, her calculation power level could be increased a little, and there was nothing more joyful than this.
Unbelievable!
Liu Meng saw that the excited looks of the two of them didn't seem to be fake, and blurted out, "Are there any other examples that are slightly more difficult?"
He wanted to confirm his strength.
Saying that you are fat and panting, Xu Jun widened his eyes and said angrily: "Yes, there are more difficult examples in this wisdom palace that are many nautical miles away, and you can solve them." ”
Li Hai also felt that Liu Meng's words were too reckless, and he still said very gently: "Liu Meng is extremely talented, it's a pity to nest in our study group, many scholars in the Wisdom Palace offer rewards for difficult problems, you can try it, if the solution is out, it will be amazing." ”
Xu Jun pursed his lips, giggled twice, and stared at Liu Meng, you should go.
Liu Meng said: "I'll try it if it's free, I can't solve it, it's always good to try." ”
"Cut, go, go now, answer it and tell us, let me worship you. ”
Xu Jun couldn't help but say, she didn't want to admit Liu Meng's ability from the bottom of her heart, and her sister couldn't stand the waste that could step on a few feet at will, and she would be stronger than her.