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2002 Nordic
2
2
Part of
2002 Nordic
Problems
(1)
largest possible value of balls between two balls
Source: Nordic Mathematical Contest 2002 #2
9/24/2017
In two bowls there are in total
N
{N}
N
balls, numbered from
1
{1}
1
to
N
{N}
N
. One ball is moved from one of the bowls into the other. The average of the numbers in the bowls is increased in both of the bowls by the same amount,
x
{x}
x
. Determine the largest possible value of
x
{x}
x
.
combinatorics
maximum