What changes at every step
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Step 1XRAY -> PRAY
Tile 1 changes X to P; the move is closer by letter shape. PRAY has 10 legal neighbors, 3 shortest continuations, and 4 moves remaining. Other legal exits from XRAY include CRAY, GRAY, TRAY, BRAY.
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Step 2PRAY -> PREY
Tile 3 changes A to E; the move is sideways by letter shape. PREY has 4 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from PRAY include PLAY, PRAM, CRAY, PRAT.
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Step 3PREY -> PREP
Tile 4 changes Y to P; the move is closer by letter shape. PREP has 4 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from PREY include PREZ, GREY.
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Step 4PREP -> PROP
Tile 3 changes E to O; the move is closer by letter shape. PROP has 11 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from PREP include PEEP, PREZ.
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Step 5PROP -> POOP
Tile 2 changes R to O; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from PROP include PLOP, DROP, CROP, PROS.