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National and Regional Contests
Turkey Contests
Turkey Team Selection Test
1994 Turkey Team Selection Test
1
Turkey TST 1994 - P1
Turkey TST 1994 - P1
Source:
March 13, 2011
function
algebra proposed
algebra
Problem Statement
f
f
f
is a function defined on integers and satisfies
f
(
x
)
+
f
(
x
+
3
)
=
x
2
f(x)+f(x+3)=x^2
f
(
x
)
+
f
(
x
+
3
)
=
x
2
for every integer
x
x
x
. If
f
(
19
)
=
94
f(19)=94
f
(
19
)
=
94
, then calculate
f
(
94
)
f(94)
f
(
94
)
.
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