MathDB
Problems
Contests
National and Regional Contests
China Contests
China Northern MO
2011 China Northern MO
4
4
Part of
2011 China Northern MO
Problems
(1)
partition of 1-29
Source: China Northern MO 2011 p4 CNMO
5/4/2024
Assume the
n
n
n
sets
A
1
,
A
2
.
.
.
,
A
n
A_1, A_2..., A_n
A
1
,
A
2
...
,
A
n
are a partition of the set
A
=
{
1
,
2
,
.
.
.
,
29
}
A=\{1,2,...,29\}
A
=
{
1
,
2
,
...
,
29
}
, and the sum of any elements in
A
i
A_i
A
i
,
(
i
=
1
,
2
,
.
.
.
,
n
)
(i=1,2,...,n)
(
i
=
1
,
2
,
...
,
n
)
is not equal to
30
30
30
. Find the smallest possible value of
n
n
n
.
combinatorics