What changes at every step
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Step 1MINI -> MINK
Tile 4 changes I to K; the move is sideways by letter shape. MINK has 17 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from MINI include MIND, MINE, MINT, MINX.
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Step 2MINK -> MONK
Tile 2 changes I to O; the move is closer by letter shape. MONK has 10 legal neighbors, 4 shortest continuations, and 4 moves remaining. Other legal exits from MINK include LINK, MILK, TINK, MIND.
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Step 3MONK -> MOOK
Tile 3 changes N to O; the move is closer by letter shape. MOOK has 15 legal neighbors, 5 shortest continuations, and 3 moves remaining. Other legal exits from MONK include HONK, BONK, CONK, MOCK.
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Step 4MOOK -> LOOK
Tile 1 changes M to L; the move is sideways by letter shape. LOOK has 13 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from MOOK include BOOK, COOK, HOOK, MOOR.
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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.