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?

(In reply to re: Solution by Charlie)

Here's what I got that satisfies the given requirement for 18 moving up the chart (toward #1) and 16 dropping down.  No '17 of each' here! 

I'm showing last week's list first, then (current week's standing), then movement (Up/Down):   

1  (1) *
2  (4) (D)
3  (6) (D)
4  (2) (U)
5  (10) (D)
6  (3) (U)
7  (14) (D)
8  (16) (D)
9  (18) (D)
10 (5) (U)
11 (22) (D)
12 (9) (U)
13 (26) (D)
14 (7) (U)
15 (12) (U)
16 (8) (U)
17 (34) (D)
18 (15) (U)
19 (38) (D)
20 (25) (D)
21 (28) (D)
22 (11) (U)
23 (23) *
24 (27) (D)
25 (20) (U)
26 (13) (U)
27 (24) (U)
28 (21) (U)
29 (29) *
30 (33) (D)
31 (31) *
32 (40) (D)
33 (30) (U)
34 (17) (U)
35 Off-chart
36 (39) (D)
37 (37) *
38 (19) (U)
39 (36) (U)
40 (35) (U)

--  (32) New

So I think I have this all right now!

 

Edited on January 29, 2009, 7:25 pm

Posted by rod hines on 2009-01-29 19:24:09