What changes at every step
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Step 1KINK -> LINK
Tile 1 changes K to L; the move is sideways by letter shape. LINK has 14 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from KINK include KICK, MINK, TINK, KIND.
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Step 2LINK -> LICK
Tile 3 changes N to C; the move is sideways by letter shape. LICK has 14 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from LINK include LINE, LINT, MINK, TINK.
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Step 3LICK -> LOCK
Tile 2 changes I to O; the move is closer by letter shape. LOCK has 18 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from LICK include LACK, LUCK, HICK, PICK.
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Step 4LOCK -> LOOK
Tile 3 changes C to O; the move is closer by letter shape. LOOK has 13 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from LOCK include COCK, BOCK, HOCK, ROCK.
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Step 5LOOK -> LOOP
Tile 4 changes K to P; the move is closer by letter shape. LOOP has 9 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from LOOK include BOOK, COOK, HOOK, LOOM.
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Step 6LOOP -> POOP
Tile 1 changes L to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from LOOP include COOP, HOOP, BOOP, GOOP.