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@@ -496,9 +496,39 @@ comments: true
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=== "Ruby"
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```ruby title="fractional_knapsack.rb"
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[class]{Item}-[func]{}
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### 物品 ###
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class Item
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attr_accessor :w # 物品重量
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attr_accessor :v # 物品價值
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[class]{}-[func]{fractional_knapsack}
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def initialize(w, v)
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@w = w
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@v = v
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end
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end
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### 分數背包:貪婪 ###
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def fractional_knapsack(wgt, val, cap)
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# 建立物品串列,包含兩個屬性:重量,價值
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items = wgt.each_with_index.map { |w, i| Item.new(w, val[i]) }
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# 按照單位價值 item.v / item.w 從高到低進行排序
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items.sort! { |a, b| (b.v.to_f / b.w) <=> (a.v.to_f / a.w) }
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# 迴圈貪婪選擇
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res = 0
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for item in items
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if item.w <= cap
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# 若剩餘容量充足,則將當前物品整個裝進背包
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res += item.v
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cap -= item.w
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else
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# 若剩餘容量不足,則將當前物品的一部分裝進背包
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res += (item.v.to_f / item.w) * cap
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# 已無剩餘容量,因此跳出迴圈
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break
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end
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end
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res
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end
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```
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=== "Zig"
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