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(use 'clojure.math.combinatorics)
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(use 'clojure.set)
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(def given (apply hash-set (partition 4 5 "ABCD CABD ACDB DACB BCDA ACBD ADCB CDAB DABC BCAD CADB CDBA CBAD ABDC ADBC BDCA DCBA BACD BADC BDAC CBDA DBCA DCAB" )))
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(def s1 (apply hash-set (permutations "ABCD")))
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(def missing (difference s1 given))
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(def abcds ["ABCD" "CABD" "ACDB" "DACB" "BCDA" "ACBD" "ADCB" "CDAB"
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"DABC" "BCAD" "CADB" "CDBA" "CBAD" "ABDC" "ADBC" "BDCA"
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"DCBA" "BACD" "BADC" "BDAC" "CBDA" "DBCA" "DCAB"])
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(def freqs (->> abcds (apply map vector) (map frequencies)))
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(defn v->k [fqmap v] (->> fqmap (filter #(-> % second (= v))) ffirst))
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(->> freqs (map #(v->k % 5)) (apply str) println)
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