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2012 Hanoi Open Mathematics Competitions
13
Q13 - Hanoi Open Mathematical Olympiad 2012 - Junior Section
Q13 - Hanoi Open Mathematical Olympiad 2012 - Junior Section
Source:
June 10, 2012
Problem Statement
Q13. Determine the greatest value of the sum
M
=
11
x
y
+
3
x
+
2012
y
z
M=11xy+3x+2012yz
M
=
11
x
y
+
3
x
+
2012
yz
, where
x
,
y
,
z
x,y,z
x
,
y
,
z
are non negative integers satisfying condition
x
+
y
+
z
=
1000.
x+y+z=1000.
x
+
y
+
z
=
1000.
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