ChatGPT passed ABC280D under human coaching

Правка en5, от -14, 2022-12-05 08:34:06

The Problem

You are given an integer $$$K$$$ greater than or equal to $$$2$$$. Find the minimum positive integer $$$N$$$ such that $$$N!$$$ is a multiple of $$$K$$$.

Here, $$$N!$$$ denotes the factorial of $$$N$$$. Under the Constraints of this problem, we can prove that such an $$$N$$$ always exists.

Constraint: $$$2 \leq K \leq 10 ^12$$$

The submission

Here are the interactions. ChatGPT spoke Chinese to me (which I didn't figure out how to configure it), so I'd provide some translations here.

Human: (The problem statement with hint to use long long)

ChatGPT: We can use code to implement the above algorithm.

Human: This code can not process when the factorials are large. You can enumarate the answer, and when newly add $$$n$$$ to the factorial, the $$$\gcd(K, n)$$$ factor can be eliminated, until $$$K = 1$$$. Try to optimize your code.

ChatGPT" In order to solve the above problems, we can optimize the code to handle the case where the factorial is too large. We can use enumeration to find the smallest positive number N that satisfies the condition, and then offset the divisor of gcd (K, n) in K with the order n of N each time until K is 1.

The implementation is as follows. (Code follows)

История

 
 
 
 
Правки
 
 
  Rev. Язык Кто Когда Δ Комментарий
en20 Английский -14 2022-12-06 12:54:39 6 Tiny change: '12}$\n\n[CodeGPT correc' -> '12}$\n\n[ChatGPT correc'
en19 Английский -14 2022-12-05 09:58:06 2 Tiny change: 'unexpected strong. H' -> 'unexpectedly strong. H'
en18 Английский -14 2022-12-05 09:23:57 261
en17 Английский -14 2022-12-05 08:58:22 0 (published)
en16 Английский -14 2022-12-05 08:57:35 26
en15 Английский -14 2022-12-05 08:57:04 2 Tiny change: '68c.png)\n\n' -> '68c.png)\n'
en14 Английский -14 2022-12-05 08:54:52 9 Tiny change: 't process when the ' -> 't process the case when the '
en13 Английский -14 2022-12-05 08:54:17 15 Tiny change: 'algorithm.\n\n![ ](/' -> 'algorithm. (Code follows)\n\n![ ](/'
en12 Английский -14 2022-12-05 08:53:57 4
en11 Английский -14 2022-12-05 08:53:45 542
en10 Английский -14 2022-12-05 08:52:19 10 Tiny change: 'd output n — 1 instead ' -> 'd output n-1 instead '
en9 Английский -14 2022-12-05 08:51:03 265
en8 Английский -14 2022-12-05 08:43:27 108
en7 Английский -14 2022-12-05 08:42:22 542
en6 Английский -14 2022-12-05 08:38:04 455
en5 Английский -14 2022-12-05 08:34:06 170
en4 Английский -14 2022-12-05 08:32:47 781
en3 Английский -14 2022-12-05 08:27:00 78 Tiny change: 'orces.com/d4cc97/2.png)' -> 'orces.com/f49f77/2.png)\n\n'
en2 Английский -14 2022-12-05 08:25:03 164
en1 Английский -14 2022-12-05 08:18:58 983 Initial revision (saved to drafts)