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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 72d218235f
commit f23f22d71c
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; Solve Continuous Knapsack Problem
; Nicolas Modrzyk
; January 2015
(def maxW 15.0)
(def items
{:beef [3.8 36]
:pork [5.4 43]
:ham [3.6 90]
:greaves [2.4 45]
:flitch [4.0 30]
:brawn [2.5 56]
:welt [3.7 67]
:salami [3.0 95]
:sausage [5.9 98]})
(defn rob [items maxW]
(let[
val-item
(fn[key]
(- (/ (second (items key)) (first (items key )))))
compare-items
(fn[key1 key2]
(compare (val-item key1) (val-item key2)))
sorted (into (sorted-map-by compare-items) items)]
(loop [current (first sorted)
array (rest sorted)
value 0
weight 0]
(let[new-weight (first (val current))
new-value (second (val current))]
(if (> (- maxW weight new-weight) 0)
(do
(println "Take all " (key current))
(recur
(first array)
(rest array)
(+ value new-value)
(+ weight new-weight)))
(let [t (- maxW weight)] ; else
(println
"Take " t " of "
(key current) "\n"
"Total Value is:"
(+ value (* t (/ new-value new-weight))))))))))
(rob items maxW)

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(def items
[{:name "beef" :weight 3.8 :price 36}
{:name "pork" :weight 5.4 :price 43}
{:name "ham" :weight 3.6 :price 90}
{:name "graves" :weight 2.4 :price 45}
{:name "flitch" :weight 4.0 :price 30}
{:name "brawn" :weight 2.5 :price 56}
{:name "welt" :weight 3.7 :price 67}
{:name "salami" :weight 3.0 :price 95}
{:name "sausage" :weight 5.9 :price 98}])
(defn per-kg [item] (/ (:price item) (:weight item)))
(defn rob [items capacity]
(let [best-items (reverse (sort-by per-kg items))]
(loop [items best-items cap capacity total 0]
(let [item (first items)]
(if (< (:weight item) cap)
(do (println (str "Take all " (:name item)))
(recur (rest items) (- cap (:weight item)) (+ total (:price item))))
(println (format "Take %.1f kg of %s\nTotal: %.2f monies"
cap (:name item) (+ total (* cap (per-kg item))))))))))
(rob items 15)