tasks a-s
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(def arabic->roman
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(partial clojure.pprint/cl-format nil "~@R"))
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(arabic->roman 147)
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;"CXXIII"
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(arabic->roman 99)
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;"XCIX"
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(def arabic-roman-map
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{1 "I", 5 "V",
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10 "X", 50 "L",
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100 "C", 500 "D",
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1000 "M",
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4 "IV", 9 "IX",
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40 "XL", 90 "XC",
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400 "CD", 900 "CM" })
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(def arabic-roman-map-sorted-keys
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(sort (keys arabic-roman-map)))
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(defn find-value-in-coll
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[coll k]
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(let [aval (find coll k)]
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(if (nil? aval) "" (val aval))))
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(defn to-roman
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[result n]
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(let
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[closest-key-for-n (last (filter #(> n %) arabic-roman-map-sorted-keys))
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roman-value-for-n (find-value-in-coll arabic-roman-map n)
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roman-value-for-closet-to-n (find-value-in-coll arabic-roman-map
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closest-key-for-n)]
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(if (or (<= n 0)(contains? arabic-roman-map n))
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(conj result roman-value-for-n)
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(recur (conj result roman-value-for-closet-to-n)
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(- n closest-key-for-n)))))
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Usage: >(to-roman [] 1999)
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result: ["M" "CM" "XC" "IX"]
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(defn a2r
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[a]
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(let [rv [1000 500 100 50 10 5 1]
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rm (zipmap rv "MDCLXVI")
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dv (->> rv (take-nth 2) next (#(interleave % %)))]
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(loop [a a rv rv dv dv r nil]
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(if (<= a 0)
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r
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(let [v (first rv)
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d (or (first dv) 0)
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l (- v d)]
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(cond
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(= a v) (str r (rm v))
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(= a l) (str r (rm d) (rm v))
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(and (> a v) (> a l)) (recur (- a v) rv dv (str r (rm v)))
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(and (< a v) (< a l)) (recur a (rest rv) (rest dv) r)
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:else (recur (- a l) (rest rv) (rest dv) (str r (rm d) (rm v)))))))))
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(a2r 1666)
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"MDCLXVI"
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(map a2r [1000 1 389 45])
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("M" "I" "CCCLXXXIX" "XLV")
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