What changes at every step
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Step 1WASP -> RASP
Tile 1 changes W to R; the move is sideways by letter shape. RASP has 6 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from WASP include WISP, WARP, GASP, HASP.
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Step 2RASP -> RAMP
Tile 3 changes S to M; the move is sideways by letter shape. RAMP has 10 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from RASP include RASH, GASP, HASP, RASE.
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Step 3RAMP -> ROMP
Tile 2 changes A to O; the move is closer by letter shape. ROMP has 4 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from RAMP include CAMP, RUMP, LAMP, RAMS.
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Step 4ROMP -> POMP
Tile 1 changes R to P; the move is closer by letter shape. POMP has 6 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from ROMP include COMP, RUMP.
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Step 5POMP -> POOP
Tile 3 changes M to O; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from POMP include PUMP, COMP, PIMP, POME.