What changes at every step
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Step 1RISK -> RISE
Tile 4 changes K to E; the move is sideways by letter shape. RISE has 13 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from RISK include DISK, RINK, RUSK.
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Step 2RISE -> ROSE
Tile 2 changes I to O; the move is closer by letter shape. ROSE has 15 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from RISE include WISE, RIPE, RUSE, RIME.
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Step 3ROSE -> POSE
Tile 1 changes R to P; the move is closer by letter shape. POSE has 13 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from ROSE include ROLE, LOSE, DOSE, NOSE.
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Step 4POSE -> POME
Tile 3 changes S to M; the move is sideways by letter shape. POME has 11 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from POSE include POLE, POPE, POKE, PORE.
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Step 5POME -> POMP
Tile 4 changes E 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 POME include HOME, SOME, COME, POLE.
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Step 6POMP -> 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, ROMP.