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(def converge-to-six ((fn task1 [a b] (lazy-seq (cons a (task1 b (+ (- 111 (/ 1130 b)) (/ 3000 (* b a))))))) 2 -4))
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(def values [3 4 5 6 7 8 20 30 50 100])
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; print decimal values:
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(pprint (sort (zipmap values (map double (map #(nth converge-to-six (dec %)) values)))))
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; print rational values:
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(pprint (sort (zipmap values (map #(nth converge-to-six (dec %)) values))))
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(def e-ratio 106246577894593683/39085931702241241)
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(defn bank [n m] (- (* n m) 1))
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(double (reduce bank (- e-ratio 1) (range 1 26)))
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(defn rump [a b]
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(+ (* (rationalize 333.75) (expt b 6))
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(* (expt a 2)
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(- (* 11 (expt a 2) (expt b 2)) (expt b 6) (* 121 (expt b 4)) 2))
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(* (rationalize 5.5) (expt b 8))
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(/ a (* 2 b))))
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; Using BigInt numeric literal style to avoid integer overflow
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(double (rump 77617 33096N))
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