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Task/Knapsack-problem-0-1/Ursala/knapsack-problem-0-1.ursala
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Task/Knapsack-problem-0-1/Ursala/knapsack-problem-0-1.ursala
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#import std
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#import nat
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#import flo
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#import lin
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#import nat
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items = # name: (weight,value)
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<
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'map': (9,150),
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'compass': (13,35),
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'water': (153,200),
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'sandwich': (50,160),
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'glucose': (15,60),
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'tin': (68,45),
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'banana': (27,60),
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'apple': (39,40),
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'cheese': (23,30),
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'beer': (52,10),
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'suntan cream': (11,70),
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'camera': (32,30),
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't-shirt': (24,15),
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'trousers': (48,10),
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'umbrella': (73,40),
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'waterproof trousers': (42,70),
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'waterproof overclothes': (43,75),
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'note-case': (22,80),
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'sunglasses': (7,20),
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'towel': (18,12),
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'socks': (4,50),
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'book': (30,10)>
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system =
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linear_system$[
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binaries: ~&nS,
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lower_bounds: {'(slack)': 0.}!,
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costs: * ^|/~& negative+ float@r,
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equations: ~&iNC\400.+ :/(1.,'(slack)')+ * ^|rlX/~& float@l]
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#show+
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main = ~&tnS solution system items
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