What changes at every step
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Step 1REPS -> RAPS
Tile 2 changes E to A; the move is sideways by letter shape. RAPS has 21 legal neighbors, 2 shortest continuations, and 5 moves remaining. Other legal exits from REPS include REDS, REGS, PEPS, REFS.
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Step 2RAPS -> CAPS
Tile 1 changes R to C; the move is sideways by letter shape. CAPS has 23 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from RAPS include RAMS, MAPS, RATS, RAYS.
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Step 3CAPS -> COPS
Tile 2 changes A to O; the move is closer by letter shape. COPS has 20 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from CAPS include CATS, CAMS, CUPS, CANS.
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Step 4COPS -> COOS
Tile 3 changes P to O; the move is closer by letter shape. COOS has 15 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from COPS include CONS, COWS, COTS, COGS.
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Step 5COOS -> COOP
Tile 4 changes S to P; the move is closer by letter shape. COOP has 14 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from COOS include COOL, COOK, BOOS, COOT.
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Step 6COOP -> POOP
Tile 1 changes C to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from COOP include LOOP, HOOP, BOOP, GOOP.