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Turkey Contests
National Olympiad First Round
2003 National Olympiad First Round
31
31
Part of
2003 National Olympiad First Round
Problems
(1)
P31 [Combinatorics] - Turkish NMO 1st Round - 2003
Source:
5/31/2014
Positive integers are written into squares of a infinite chessboard such that a number
n
n
n
is written
n
n
n
times. If the absolute differences of numbers written into any two squares having a common side is not greater than
k
k
k
, what is the least possible value of
k
k
k
?
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A
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1
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B
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2
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C
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3
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(
D
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4
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E
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None of the preceding
<span class='latex-bold'>(A)</span>\ 1 \qquad<span class='latex-bold'>(B)</span>\ 2 \qquad<span class='latex-bold'>(C)</span>\ 3 \qquad<span class='latex-bold'>(D)</span>\ 4 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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A
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1
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(
B
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<
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2
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C
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3
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D
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4
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(
E
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None of the preceding