What changes at every step
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Step 1FIAT -> FLAT
Tile 2 changes I to L; the move is sideways by letter shape. FLAT has 15 legal neighbors, 2 shortest continuations, and 4 moves remaining. Other legal exits from FIAT include FIST, FEAT, FRAT.
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Step 2FLAT -> PLAT
Tile 1 changes F to P; the move is closer by letter shape. PLAT has 10 legal neighbors, 2 shortest continuations, and 3 moves remaining. Other legal exits from FLAT include FLAP, FLAG, FLAW, FLAX.
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Step 3PLAT -> PLOT
Tile 3 changes A to O; the move is closer by letter shape. PLOT has 8 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from PLAT include PLAP, PLAN, PLAY, PHAT.
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Step 4PLOT -> PLOP
Tile 4 changes T to P; the move is closer by letter shape. PLOP has 11 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from PLOT include PLOW, PLOY, PLOD, SLOT.
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Step 5PLOP -> POOP
Tile 2 changes L to O; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from PLOP include PROP, FLOP, PLOW, PLOY.