Difference between revisions of "1998 USAMO Problems/Problem 6"
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== Problem == | == Problem == | ||
| + | Let <math>n \geq 5</math> be an integer. Find the largest integer <math>k</math> (as a function of <math>n</math>) such that there exists a convex <math>n</math>-gon <math>A_{1}A_{2}\dots A_{n}</math> for which exactly <math>k</math> of the quadrilaterals <math>A_{i}A_{i+1}A_{i+2}A_{i+3}</math> have an inscribed circle. (Here <math>A_{n+j} = A_{j}</math>.) | ||
== Solution == | == Solution == | ||
Revision as of 08:14, 13 September 2012
Problem
Let 
be an integer. Find the largest integer 
(as a function of 
) such that there exists a convex -gon 
for which exactly of the quadrilaterals 
have an inscribed circle. (Here 
.)
Solution
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See Also
| 1998 USAMO (Problems • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
