a) What was the last move?
b) After "a" solution, White mates in 1.
c) After "a" solution, White retracts and mates in 1.

Solutions:
a) The last move was cd6 e.p.++ (see the diagram below)

b) White mates with 1 d5++. Now 1 cd6 e.p.++ is illegal becose the Black's last move is undetermined.

c) White retracts e2-c4 then mates with 1 d5++. Look that, in the new diagram, 8 black pieces was captured by white s. Then, White can't retracts h1xe4 and mates with 1 d5.

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