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4
SMT 2007 Algebra #4
SMT 2007 Algebra #4
Source:
June 27, 2012
floor function
Problem Statement
How many positive integers
n
n
n
, with
n
≤
2007
n\le 2007
n
≤
2007
, yield a solution for
x
x
x
(where
x
x
x
is real) in the equation
⌊
x
⌋
+
⌊
2
x
⌋
+
⌊
3
x
⌋
=
n
\lfloor x \rfloor+\lfloor 2x\rfloor+\lfloor 3x\rfloor=n
⌊
x
⌋
+
⌊
2
x
⌋
+
⌊
3
x
⌋
=
n
?
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