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?
I'm a bit confused by Charlie's last comment (then clarification). On all the radio stations around here, 'moving up the charts' typically means getting closer to #1 (i.e. having a lower position number), as opposed to a bigger number down the chart!
My solution basically agrees with Sing4TheDay (as listed in order from #1 down to the 40th position by referencing last week's positions), other than his indicated 12 and 18 are reversed in my solution (perhaps due to the commonality of factors with those two numbers).
Regardless, the solution provided does indicate 18 songs went 'up' the chart (toward #1) while 16 'dropped' down the chart toward last place.
Solution
