What changes at every step
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Step 1FUND -> FOND
Tile 2 changes U to O; the move is closer by letter shape. FOND has 9 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from FUND include FIND, FUNK, FEND, FUNS.
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Step 2FOND -> FOOD
Tile 3 changes N to O; the move is closer by letter shape. FOOD has 10 legal neighbors, 3 shortest continuations, and 3 moves remaining. Other legal exits from FOND include FORD, FONT, BOND, FOLD.
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Step 3FOOD -> FOOL
Tile 4 changes D 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 FOOD include GOOD, HOOD, WOOD, FOOT.
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Step 4FOOL -> 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, FOOT.
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Step 5POOL -> 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.