What changes at every step
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Step 1OMEN -> OPEN
Tile 2 changes M to P; the move is sideways by letter shape. OPEN has 4 legal neighbors, 1 shortest continuation, and 8 moves remaining. Other legal exits from OMEN include OVEN, OXEN, AMEN.
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Step 2OPEN -> OPES
Tile 4 changes N to S; the move is sideways by letter shape. OPES has 8 legal neighbors, 1 shortest continuation, and 7 moves remaining. Other legal exits from OPEN include OVEN, OXEN.
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Step 3OPES -> OPTS
Tile 3 changes E to T; the move is sideways by letter shape. OPTS has 5 legal neighbors, 2 shortest continuations, and 6 moves remaining. Other legal exits from OPES include OPUS, APES, ONES, OWES.
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Step 4OPTS -> OUTS
Tile 2 changes P to U; the move is sideways by letter shape. OUTS has 12 legal neighbors, 2 shortest continuations, and 5 moves remaining. Other legal exits from OPTS include OATS, OPUS, APTS.
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Step 5OUTS -> CUTS
Tile 1 changes O to C; the move is sideways by letter shape. CUTS has 18 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from OUTS include BUTS, PUTS, NUTS, GUTS.
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Step 6CUTS -> COTS
Tile 2 changes U to O; the move is closer by letter shape. COTS has 18 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from CUTS include CATS, CUPS, CUBS, BUTS.
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Step 7COTS -> COOS
Tile 3 changes T to O; the move is closer by letter shape. COOS has 15 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from COTS include CONS, COPS, COWS, BOTS.
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Step 8COOS -> COOP
Tile 4 changes S to P; the move is closer by letter shape. COOP has 14 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from COOS include COOL, COOK, BOOS, COOT.
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Step 9COOP -> 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.