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Last active December 13, 2015 20:18
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let computeOptPartySchedule (budget,N,(costs:int[]),(funValues:int[])) =
let OPT = Array2D.zeroCreate (N+1) (budget+1)
for i = 1 to N do
for j = 0 to budget do
let c_i = costs.[i-1] //cost for the ith party
let f_i = funValues.[i-1] // fun value associated with ith party
OPT.[i,j] <-
match j,c_i with
| _ when j<c_i -> OPT.[i-1,j]
| _ -> Math.Max(OPT.[i-1,j],f_i + OPT.[i-1, j-c_i])
// returning (1) summation of all entrance fee or costs,
// (2) summation of fun values
((budget,N,OPT,OPT.[N,budget])|>computeOptCost, OPT.[N,budget])
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