What changes at every step
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Step 1MACE -> LACE
Tile 1 changes M to L; the move is sideways by letter shape. LACE has 13 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from MACE include MALE, PACE, MARE, MAKE.
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Step 2LACE -> LACK
Tile 4 changes E to K; the move is sideways by letter shape. LACK has 15 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from LACE include PACE, LAME, LACY, LICE.
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Step 3LACK -> LOCK
Tile 2 changes A 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 LACK include BACK, LUCK, HACK, LICK.
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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.