Comments:

23 submitted range 60-100, several perfect scores, average was in the low
nineties somewhere (i forget the exact number)

30 for each direction of 47, 40 for 49

3-47 was good. Some people used a specific vector as an example without saying
WLOG to justify picking that one (ie just assuming c1 is nonzero). This was a
minor deduction.

3-49 was also good. Some people forgot about the case where the original n
vectors are linearly dependent--I made the a minor deduction.