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Retro Chess Puzzle

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A puzzle comes knocking at the door.

Detective: "I've got a case for you! We were called to a hotel with rooms full of masked parties, and the suspects scattered across the rooms. But can this possibly be legal?!"

You see six pictures.

Rm. 435: "Masters"

8TeRT
7SSSSS
6
5SS
4ARS
3ssEs
2sssssa
1Mrmt
abcdefgh

Rm. 444: “Thieves”

8eiv
7hhh
6VTh
5shth
4hsH
3hIH
2HHHHHV
1TStE
abcdefgh

Rm. 436: “Chairs”

8Srs
7IiIIiCi
6h
5i
4i
3I
2IiIIiIi
1CAh
abcdefgh

Rm. 764: “Flacks”

8CAKCS
7FFFFF
6
5
4L
3fkf
2ffffff
1LSAals
abcdefgh

Rm. 755: “Doctors”

8Dod
7ottttt
6ttRtc
5
4
3CcrT
2TTTTTTOT
1RSOs
abcdefgh

Rm. 748: “Jewelers”

8esW
7LRLR
6JR
5Sl
4w
3jESR
2LRLR
1E
abcdefgh

D: "As my guys entered the rooms, they yelled 'Nobody move!' But the suspects had already all managed to move and blend in. If only we could turn back the clock and see where they had moved from!"

You: "I bet the rank and file would like the extra action."

D: "Oh! We also found some kind of note in canvassing the rooms."

You see a strip of paper.

You: "Indeed, I can follow it to the letter for each picture. I'll get you the (4)(1)(1)!"

Note: consider any move where a king and a rook both move as a king move.