What changes at every step
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Step 1AUNT -> HUNT
Tile 1 changes A to H; the move is sideways by letter shape. HUNT has 8 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from AUNT include BUNT, PUNT, RUNT.
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Step 2HUNT -> HUNK
Tile 4 changes T to K; the move is sideways by letter shape. HUNK has 14 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from HUNT include HUNG, HINT, BUNT, HURT.
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Step 3HUNK -> HONK
Tile 2 changes U to O; the move is closer by letter shape. HONK has 11 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from HUNK include HANK, BUNK, HUCK, PUNK.
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Step 4HONK -> HOOK
Tile 3 changes N to O; the move is closer by letter shape. HOOK has 14 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from HONK include HOCK, BONK, CONK, MONK.
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Step 5HOOK -> HOOP
Tile 4 changes K to P; the move is closer by letter shape. HOOP has 9 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from HOOK include BOOK, LOOK, COOK, HOOD.
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Step 6HOOP -> POOP
Tile 1 changes H to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from HOOP include LOOP, COOP, BOOP, GOOP.