What changes at every step
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Step 1WATT -> WANT
Tile 3 changes T to N; the move is sideways by letter shape. WANT has 13 legal neighbors, 3 shortest continuations, and 6 moves remaining. Other legal exits from WATT include WAIT, WART, WAFT.
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Step 2WANT -> WONT
Tile 2 changes A to O; the move is closer by letter shape. WONT has 4 legal neighbors, 1 shortest continuation, and 5 moves remaining. Other legal exits from WANT include CANT, WANK, WENT, WAIT.
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Step 3WONT -> FONT
Tile 1 changes W to F; the move is sideways by letter shape. FONT has 4 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from WONT include WORT, WENT.
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Step 4FONT -> FOOT
Tile 3 changes N to O; the move is closer by letter shape. FOOT has 13 legal neighbors, 5 shortest continuations, and 3 moves remaining. Other legal exits from FONT include FORT, FOND.
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Step 5FOOT -> FOOL
Tile 4 changes T to L; the move is sideways by letter shape. FOOL has 10 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from FOOT include BOOT, LOOT, HOOT, COOT.
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Step 6FOOL -> POOL
Tile 1 changes F to P; the move is closer by letter shape. POOL has 8 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from FOOL include TOOL, COOL, WOOL, FOOD.
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Step 7POOL -> POOP
Tile 4 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 POOL include POOR, POOF, TOOL, COOL.