Please help me in understanding the tutorial

Revision en1, by CandidFlakes, 2023-08-09 10:36:53

I have been trying to solve this question. After trying enough I read the tutorial but I am unable to understand it. I have attached the screen shot of the tutorial where I am facing problem below. The tutorial says that for n>1 and n is odd, there exists no solution because, b_n = (a_1 + a_2 + ... + a_n)%n = (1+2+3+....+n)%n = (n*(n+1)/2)%n = 0 and b_1 is already 0, and there can't be two zeros in the array b. Hence, no solution for n>1 and n is odd. But, my doubt is that why can't I apply the same logic with n>1 and even, the same way I can prove that b_n = 0 and b_1 already 0. Hence, no solution for n>1 and n is even. Please correct me. Where am I understanding it wrong? I will be thankful for any help.

Tags tutorial help, modular arithmetic, modulus, super-permutation

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en2 English CandidFlakes 2023-08-09 10:39:26 48 Tiny change: ' below. \nThe tuto' -> ' below. \n![ ](https://i.imgur.com/ZpXYRL2.png)\nThe tuto' (published)
en1 English CandidFlakes 2023-08-09 10:36:53 825 Initial revision (saved to drafts)