Difference between revisions of "1997 USAMO Problems/Problem 6"
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== Solution == | == Solution == | ||
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Revision as of 16:12, 12 April 2012
Problem
Suppose the sequence of nonnegative integers 
satisfies
$a_i+a_j\lea_{i+j}\lea_i+a_j+1$ (Error compiling LaTeX. Unknown error_msg)
for all 
with 
. Show that there exists a real number 
such that 
(the greatest integer $\lenx$ (Error compiling LaTeX. Unknown error_msg)) for all $1\len\le1997$ (Error compiling LaTeX. Unknown error_msg).
Solution
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See Also
| 1997 USAMO (Problems • Resources) | ||
| Preceded by Problem 5 |
Followed by Last Problem | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
