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#Dyalog APL, 29 28 bytes ⌈/¨({∪¨,/∘.{⍵/⍨≢⍺∩⍵}⍨⍵}⍣≡,¨)
⌈/¨({∪¨,/∘.{⍵/⍨≢⍺∩⍵}⍨⍵}⍣≡,¨)
Same idea as the Pyth solution.
#Dyalog APL, 2929 28 bytes ⌈/¨({∪¨,/∘.(∊(×∘≢∩)⍴¨∪){⍵/⍨≢⍺∩⍵}⍨⍵}⍣≡,¨)
⌈/¨({∪¨,/∘.(∊(×∘≢∩)⍴¨∪){⍵/⍨≢⍺∩⍵}⍨⍵}⍣≡,¨)
#Dyalog APL, 29 bytes ⌈/¨{∪¨,/∘.(∊(×∘≢∩)⍴¨∪)⍨⍵}⍣≡,¨
⌈/¨{∪¨,/∘.(∊(×∘≢∩)⍴¨∪)⍨⍵}⍣≡,¨
