What changes at every step
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Step 1SUED -> HUED
Tile 1 changes S to H; the move is sideways by letter shape. HUED has 6 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from SUED include SLED, SEED, SHED, SUES.
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Step 2HUED -> HOED
Tile 2 changes U to O; the move is closer by letter shape. HOED has 8 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from HUED include HEED, HUES, CUED, RUED.
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Step 3HOED -> HOOD
Tile 3 changes E to O; the move is closer by letter shape. HOOD has 11 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from HOED include HOLD, COED, HEED, HOES.
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Step 4HOOD -> HOOP
Tile 4 changes D to P; the move is closer by letter shape. HOOP has 9 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from HOOD include GOOD, HOOK, HOOF, HOOT.
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Step 5HOOP -> POOP
Tile 1 changes H to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from HOOP include LOOP, COOP, BOOP, GOOP.