What changes at every step
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Step 1NUDE -> NODE
Tile 2 changes U to O; the move is closer by letter shape. NODE has 11 legal neighbors, 5 shortest continuations, and 5 moves remaining. Other legal exits from NUDE include NUKE, DUDE, RUDE.
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Step 2NODE -> CODE
Tile 1 changes N to C; the move is sideways by letter shape. CODE has 16 legal neighbors, 2 shortest continuations, and 4 moves remaining. Other legal exits from NODE include NOSE, NOPE, BODE, NODS.
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Step 3CODE -> COME
Tile 3 changes D to M; the move is sideways by letter shape. COME has 17 legal neighbors, 2 shortest continuations, and 3 moves remaining. Other legal exits from CODE include CODS, CORE, COLE, COVE.
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Step 4COME -> COMP
Tile 4 changes E to P; the move is closer by letter shape. COMP has 8 legal neighbors, 2 shortest continuations, and 2 moves remaining. Other legal exits from COME include POME, HOME, SOME, DOME.
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Step 5COMP -> COOP
Tile 3 changes M to O; the move is closer by letter shape. COOP has 14 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from COMP include POMP, COUP, ROMP, CAMP.
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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.