What changes at every step
Letter positions: 4-3-2-1-3. Letter changes: B>P, R>M, A>O, C>P, M>O.
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Step 1CARB -> CARP
Tile 4 changes B to P; the move is closer by letter shape. CARP has 9 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from CARB include CARD, CARE, CARS, CART.
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Step 2CARP -> CAMP
Tile 3 changes R to M; the move is sideways by letter shape. CAMP has 10 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from CARP include CARD, CARE, CARS, CART.
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Step 3CAMP -> COMP
Tile 2 changes A to O; the move is closer by letter shape. COMP has 8 legal neighbors, 2 shortest continuations, and 2 moves remaining. Other legal exits from CAMP include RAMP, CAME, DAMP, LAMP.
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Step 4COMP -> POMP
Tile 1 changes C 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 COMP include COOP, COUP, ROMP, COMA.
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Step 5POMP -> POOP
Tile 3 changes M to O; the move is closer by letter shape. POOP has 12 legal neighbors, target reached, and 0 moves remaining. Other legal exits from POMP include PIMP, PUMP, ROMP, POMS.