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17
2016 LMT Individual #17
2016 LMT Individual #17
Source:
April 10, 2016
Problem Statement
Find the minimum possible value of
⌊
a
+
b
c
⌋
+
2
⌊
b
+
c
a
⌋
+
⌊
c
+
a
b
⌋
\left\lfloor \dfrac{a+b}{c}\right\rfloor+2 \left\lfloor \dfrac{b+c}{a}\right\rfloor+ \left\lfloor \dfrac{c+a}{b}\right\rfloor
⌊
c
a
+
b
⌋
+
2
⌊
a
b
+
c
⌋
+
⌊
b
c
+
a
⌋
where
a
,
b
,
c
a,b,c
a
,
b
,
c
are the sidelengths of a triangle.Proposed by Nathan Ramesh
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