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Is there anyway to get unique relation between two columns X and Y using R. I need to check if two way relationship exist between X and Y and eliminate if rows if present.

df <- data.frame(X = c("A", "B" ,"C","E","F","G" ), Y =  c("E"  ,"F",   "G" ,"A","B","C") )

> df
  X Y
1 A E
2 B F
3 C G
4 E A
5 F B
6 G C

I want to get output as below

 > X Y
   A E
   B F
   C G
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