Question: Here is a list of numbers, with some repeats
{ 1,1,4,12,13,14,20,33,40,59,64,67,137,137,166,199,202,210,264,298,339,3480}
Please arrange these numbers into sets which together satisfy each of the following 6 conditions
(1)	There must be 7 sets in total.
(2)	Each set contains no repeated numbers.
(3)	Each set has no more than 4 elements.
(4)	Each number from the original list appears in exactly one set, unless a number appeared twice in the original list, in which case that number appears in two sets.
(5)	A completed set of up to 4 elements is scored by applying bitwise OR to all the members of the set. The score is the number of 1s in the bit representation of the result of the bitwise OR.
(6)	The full arrangement of 7 sets is scored by taking the minimum of the scores of each individual set. The arrangement must score at least 5.
Answer: Let's work this out in a step by step way to be sure we have the right answer