Difference between revisions of "1991 OIM Problems/Problem 5"
(Created page with "== Problem == Let <math>P(x,y) = 2x^2 - 6xy + 5y^2</math>. We will say that an integer <math>a</math> is a value of <math>P</math> if there exist integers <math>b</math> and <...") |
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== Solution == | == Solution == | ||
| + | * Note. I actually competed at this event in Argentina when I was in High School representing Puerto Rico. I have no idea what I did on this one nor how many points they gave me. | ||
{{solution}} | {{solution}} | ||
== See also == | == See also == | ||
https://www.oma.org.ar/enunciados/ibe6.htm | https://www.oma.org.ar/enunciados/ibe6.htm | ||
Revision as of 18:27, 14 December 2023
Problem
Let 
. We will say that an integer 
is a value of 
if there exist integers 
and 
such that 
.
i. Determine how many elements of {1, 2, 3, ... ,100} are values of .
ii. Prove that the product of values of is a value of .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
- Note. I actually competed at this event in Argentina when I was in High School representing Puerto Rico. I have no idea what I did on this one nor how many points they gave me.
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