A competition awards medals to the winners: gold to first place, silver to second place, and bronze to third place. In the case of ties, these rules apply:
  • If two competitors tie for gold, the next competitor gets bronze, and no silver is awarded. If three or more competitors tie for gold, no other medals are awarded.
  • If two or more competitors tie for silver, no bronze is awarded.
  • If two or more competitors tie for bronze and fewer than three medals have been awarded so far, all who tied for bronze get medals.
Write a function that takes a vector of scores and identifies the winners (i.e., the position of the winning scores in the vector). In this competition, higher scores are better. If a medal is not awarded, set the output to the empty set.
P.S.: For a competition with different rules, see Cody Problem 46573.
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