Each of a, b, and c is a real number such that a+b+c=2.
Suppose the minimum value of:
(a+1/a)2 + (b+1/b)2 + (c+1/c)2 is m/n, where gcd(m,n) =1.
Find m+n.
*** Adapted from a problem which appeared at Round 1 of Singapore Mathematical Olympiad Open, 2018.
A, B and C went bird watching. Each of them saw one bird that none of the others did. Each pair saw one bird that the third did not. And one bird was seen by all three. Of the birds A saw, two were yellow. Of the birds B saw, three were yellow. Of the birds C saw, four were yellow.
(a) How many yellow birds were seen in all?
(b) How many non-yellow birds were seen in all?
Latest: 
Bonus: 
