What changes at every step
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Step 1MEDS -> MODS
Tile 2 changes E to O; the move is closer by letter shape. MODS has 17 legal neighbors, 3 shortest continuations, and 4 moves remaining. Other legal exits from MEDS include BEDS, MESS, REDS, MEWS.
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Step 2MODS -> MOOS
Tile 3 changes D to O; the move is closer by letter shape. MOOS has 16 legal neighbors, 3 shortest continuations, and 3 moves remaining. Other legal exits from MODS include BODS, CODS, MOMS, GODS.
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Step 3MOOS -> MOOR
Tile 4 changes S to R; the move is sideways by letter shape. MOOR has 8 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from MOOS include COOS, BOOS, MOON, MOOD.
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Step 4MOOR -> POOR
Tile 1 changes M to P; the move is closer by letter shape. POOR has 7 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from MOOR include DOOR, BOOR, MOON, MOOD.
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Step 5POOR -> POOP
Tile 4 changes R to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from POOR include POOL, POOF, DOOR, POUR.