Y by HWenslawski
On a board, Ana writes
different integers, while Ben writes
different integers. Then, Ana adds each of her numbers with with each of Ben’s numbers and she obtains
different integers. On the other hand, Ben substracts each of his numbers from each of Ana’s numbers and he gets
different integers.
For each integer
, let
be the number of ways that
may be written as sum of one number of Ana and one number of Ben.
a) Show that there exist an integer
such that,
b) Does there exist an integer
such that,

Proposed by Besfort Shala, Kosovo




For each integer



a) Show that there exist an integer




Proposed by Besfort Shala, Kosovo
This post has been edited 3 times. Last edited by dangerousliri, Mar 8, 2022, 9:15 PM