MathDB
Problems
Contests
National and Regional Contests
Taiwan Contests
Taiwan APMO Prelininary
2019 Taiwan APMO Preliminary Test
P2
P2
Part of
2019 Taiwan APMO Preliminary Test
Problems
(1)
2019 Taiwan APMO Preliminary P2
Source: 2019 Taiwan APMO Preliminary
8/23/2020
Put
1
,
2
,
.
.
.
.
,
2018
1,2,....,2018
1
,
2
,
....
,
2018
(2018 numbers) in a row randomly and call this number
A
A
A
. Find the remainder of
A
A
A
divided by
3
3
3
.
remainder
modulo
number theory