1985 AIME Problems/Problem 8
Problem
The sum of the following seven numbers is exactly 19: ,
,
,
,
,
,
. It is desired to replace each
by an integer approximation
,
, so that the sum of the
's is also 19 and so that
, the maximum of the "errors"
, the maximum absolute value of the difference, is as small as possible. For this minimum
, what is
?
Solution
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