What changes at every step
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Step 1SURE -> SORE
Tile 2 changes U to O; the move is closer by letter shape. SORE has 16 legal neighbors, 2 shortest continuations, and 4 moves remaining. Other legal exits from SURE include PURE, CURE, LURE, SIRE.
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Step 2SORE -> SOME
Tile 3 changes R to M; the move is sideways by letter shape. SOME has 9 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from SORE include PORE, MORE, SORT, CORE.
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Step 3SOME -> POME
Tile 1 changes S to P; the move is closer by letter shape. POME has 11 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from SOME include HOME, COME, DOME, TOME.
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Step 4POME -> POMP
Tile 4 changes E to P; the move is closer by letter shape. POMP has 6 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from POME include HOME, COME, POLE, POPE.
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Step 5POMP -> POOP
Tile 3 changes M to O; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from POMP include PUMP, COMP, PIMP, ROMP.