What changes at every step
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Step 1NEWS -> NETS
Tile 3 changes W to T; the move is sideways by letter shape. NETS has 11 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from NEWS include MEWS, PEWS, SEWS, NEWT.
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Step 2NETS -> BETS
Tile 1 changes N to B; the move is sideways by letter shape. BETS has 16 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from NETS include SETS, GETS, PETS, LETS.
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Step 3BETS -> BOTS
Tile 2 changes E to O; the move is closer by letter shape. BOTS has 22 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from BETS include BITS, BEDS, BATS, BEGS.
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Step 4BOTS -> BOOS
Tile 3 changes T to O; the move is closer by letter shape. BOOS has 21 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from BOTS include BOYS, BOSS, BOWS, COTS.
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Step 5BOOS -> BOOP
Tile 4 changes S to P; the move is closer by letter shape. BOOP has 12 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from BOOS include BOOK, BOOT, BOOB, BOOM.
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Step 6BOOP -> POOP
Tile 1 changes B to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from BOOP include LOOP, COOP, HOOP, GOOP.