A plane was returning from the Olympic Games with five athletes who placed first through fifth in an event. They made the following statements:
A: "I was not the last"
B: "C was the third"
C: "A was behind E"
D: "E was second"
E: "D was not the first."
On account of modesty or for some other reason, the gold and silver medallists lied. The three worst athletes told the truth. What order did they all place in?
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