I have a pegboard with 10 pegholes numbered 1 to 10.
There are 10 pegs of different colours: dark blue, orange, violet, black, light gold, indigo, navy, green, ivory, and teal. Each peg initially is in the respective peghole. For example, violet is in hole #3 and ivory is in hole #9.
For each week that passes I will swap some pegs in certain pegholes:
- 5 and 7
- 3 and 5
- 2 and 6
- 1 and 8
- 10 and 9
- 2 and 5
- 1 and 4
- 9 and 1
(I will repeat all 8 swaps every week)
What will the colours be in the pegholes after 15,532 weeks have passed?
Please answer in ~21 steps or less. There is also a much shorter way. Also the colours have almost nothing to do with the problem, there is no hidden hint.
Only solutions listing at most 1 week are allowed
Hint for bonus
A diagram may help