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using MathProgBase, Cbc
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struct KPDSupply{T<:Integer}
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item::String
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weight::T
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value::T
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quant::T
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end
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Base.show(io::IO, kdps::KPDSupply) = print(io, kdps.quant, " ", kdps.item, " ($(kdps.weight) kg, $(kdps.value) €)")
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function solve(gear::Vector{KPDSupply{T}}, capacity::Integer) where T<:Integer
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w = getfield.(gear, :weight)
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v = getfield.(gear, :value)
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q = getfield.(gear, :quant)
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sol = mixintprog(-v, w', '<', capacity, :Int, 0, q, CbcSolver())
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sol.status == :Optimal || error("this problem could not be solved")
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if all(q .== 1) # simpler case
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return gear[sol.sol == 1.0]
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else
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pack = similar(gear, 0)
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s = round.(Int, sol.sol)
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for (i, g) in enumerate(gear)
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iszero(s[i]) && continue
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push!(pack, KPDSupply(g.item, g.weight, g.value, s[i]))
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end
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return pack
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end
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end
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gear = [KPDSupply("map", 9, 150, 1),
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KPDSupply("compass", 13, 35, 1),
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KPDSupply("water", 153, 200, 2),
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KPDSupply("sandwich", 50, 60, 2),
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KPDSupply("glucose", 15, 60, 2),
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KPDSupply("tin", 68, 45, 3),
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KPDSupply("banana", 27, 60, 3),
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KPDSupply("apple", 39, 40, 3),
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KPDSupply("cheese", 23, 30, 1),
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KPDSupply("beer", 52, 10, 3),
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KPDSupply("suntan cream", 11, 70, 1),
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KPDSupply("camera", 32, 30, 1),
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KPDSupply("T-shirt", 24, 15, 2),
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KPDSupply("trousers", 48, 10, 2),
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KPDSupply("umbrella", 73, 40, 1),
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KPDSupply("waterproof trousers", 42, 70, 1),
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KPDSupply("waterproof overclothes", 43, 75, 1),
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KPDSupply("note-case", 22, 80, 1),
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KPDSupply("sunglasses", 7, 20, 1),
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KPDSupply("towel", 18, 12, 2),
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KPDSupply("socks", 4, 50, 1),
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KPDSupply("book", 30, 10, 2)]
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pack = solve(gear, 400)
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println("The hiker should pack: \n - ", join(pack, "\n - "))
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println("\nPacked weight: ", sum(getfield.(pack, :weight)), " kg")
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println("Packed value: ", sum(getfield.(pack, :value)), " €")
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