What changes at every step
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Step 1FUNK -> BUNK
Tile 1 changes F to B; the move is sideways by letter shape. BUNK has 15 legal neighbors, 1 shortest continuation, and 4 moves remaining. Other legal exits from FUNK include HUNK, FUND, PUNK, JUNK.
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Step 2BUNK -> BONK
Tile 2 changes U to O; the move is closer by letter shape. BONK has 13 legal neighbors, 1 shortest continuation, and 3 moves remaining. Other legal exits from BUNK include BANK, BUCK, HUNK, BULK.
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Step 3BONK -> BOOK
Tile 3 changes N to O; the move is closer by letter shape. BOOK has 17 legal neighbors, 1 shortest continuation, and 2 moves remaining. Other legal exits from BONK include BOCK, HONK, CONK, BANK.
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Step 4BOOK -> BOOP
Tile 4 changes K to P; the move is closer by letter shape. BOOP has 12 legal neighbors, 1 shortest continuation, and 1 move remaining. Other legal exits from BOOK include LOOK, COOK, BOOT, HOOK.
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Step 5BOOP -> POOP
Tile 1 changes B to P; the move is closer by letter shape. POOP has 11 legal neighbors, target reached, and 0 moves remaining. Other legal exits from BOOP include LOOP, COOP, HOOP, GOOP.