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#import std
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#import flo
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#import lin
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items = # name: (weight,value,limit)
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<
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'map': (9,150,1),
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'compass': (13,35,1),
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'water': (153,200,3),
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'sandwich': (50,60,2),
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'glucose': (15,60,2),
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'tin': (68,45,3),
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'banana': (27,60,3),
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'apple': (39,40,3),
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'cheese': (23,30,1),
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'beer': (52,10,3),
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'suntan cream': (11,70,1),
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'camera': (32,30,1),
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't-shirt': (24,15,2),
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'trousers': (48,10,2),
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'umbrella': (73,40,1),
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'waterproof trousers': (42,70,1),
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'waterproof overclothes': (43,75,1),
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'note-case': (22,80,1),
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'sunglasses': (7,20,1),
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'towel': (18,12,2),
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'socks': (4,50,1),
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'book': (30,10,2)>
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system = # convert the item list to mixed integer programming problem specification
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linear_system$[
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integers: ~&nS,
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upper_bounds: * ^|/~& float@rr,
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lower_bounds: @nS ~&\*0.+ :/'(slack)',
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costs: * ^|/~& negative+ float@rl,
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equations: ~&iNC\400.+ :/(1.,'(slack)')+ * ^|rlX/~& float@l]
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format = @t --^*p\pad` @nS @mS printf/*'%0.0f '
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#show+
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main = format solution system items
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