Y by
For any two coprime positive integers
, define
to be the remainder of
divided by
for
. The number
is called a large number (resp. small number) when
is the maximum (resp. the minimum) among the numbers
. Note that
is both large and small. Let
be two fixed positive integers. Given that there are exactly
large numbers and
small numbers among
, find the least possible number for
.
Proposed by usjl














Proposed by usjl
This post has been edited 2 times. Last edited by USJL, Jun 24, 2022, 5:01 PM