On this week's list of the top 40 pop songs, last week's #35 is no longer on the list and a new song has appeared in the #32 position.
Positions 1, 23, 29, 31 and 37 have remained the same.
Each other song on last week's list has moved by an amount that is a factor, greater than 1, of last weeks position itself (including the possibility that the movement is in fact the same as last week's position).
If 18 of the 34 that moved moved up, and 16 moved down, what are the new positions of the songs listed by their position last week?
Do we assume no ties for any position number (old or new)?
Apparently 5 stay in the same position; 18 moved up on the list (i.e. to a lower number); 16 moved down (i.e. to a higher number); and one (#35) is off the list. New position 32 was not on the old list.
The "factoring" paragraph apparently includes N but NOT 1 as factors of N. Since one cannot move (to a lower number) from a number by the number itself (which would then be position zero), I assume this means that a song MAY move to a lower position which is double the original but less than 41 (e.g. old position 13 could move to new position 26).
I agree with the previous post, that before beginning we must resolve any ambiguity in the specs.
Also: clarifications
