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All answers having "Olympic event" as clue:

4 Character Answers:

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DIVE

EPEE

JUDO

LUGE

RACE

SUMO



5 Character Answers:

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RELAY

SKEET



6 Character Answers:

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DISCUS



7 Character Answers:

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SHOTPUT



8 Character Answers:

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MARATHON



9 Character Answers:

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BROADJUMP

RELAYRACE

WATERPOLO



10 Character Answers:

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MEDALSPORT

TRIPLEJUMP



12 Character Answers:

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CROSSCOUNTRY

SNOWBOARDING

SPEEDSKATING



13 Character Answers:

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FIGURESKATING