Created
December 5, 2018 14:52
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Dynamic programming exercise - Build a necklace with the greatest value without surpassing the maximum allowed weight (modification of the 0/1 knapsack problem)
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import Foundation | |
func max(a: Int, b: Int) -> Int { | |
return a > b ? a : b | |
} | |
func necklace(pearls: [[Int]]) -> [[Int]] { | |
var res = Array.init(repeating: Array.init(repeating: 0, count: 151), count: pearls.count) | |
var ret: [[Int]] = [] | |
for i in 0...150 { | |
let weight = pearls[0][0] | |
let value = pearls[0][1] | |
res[0][i] = weight <= i ? value : 0 | |
} | |
for i in 1...pearls.count - 1 { | |
for j in pearls[i][0]...150 { | |
let weight = pearls[i][0] | |
let value = pearls[i][1] | |
res[i][j] = max(res[i - 1][j], res[i - 1][j - weight] + value) | |
} | |
} | |
var i = pearls.count - 1 | |
var j = 150 | |
while i >= 0 && j >= 0 { | |
if i > 0 { | |
let mayorQueArriba = res[i][j] > res[i - 1][j] | |
if mayorQueArriba { | |
ret.append(pearls[i]) | |
j = j - pearls[i][0] | |
i = i - 1 | |
} else { | |
i = i - 1 | |
} | |
} else { | |
if res[i][j] == 0 { | |
break | |
} else { | |
ret.append(pearls[i]) | |
j = j - pearls[i][0] | |
} | |
} | |
} | |
return ret | |
} | |
let cnt = Int.random(in: 0...150) | |
var pearls: [[Int]] = Array.init(repeating: Array.init(repeating: 0, count: 2), count: cnt) | |
for i in 0...pearls.count - 1 { | |
pearls[i][0] = Int.random(in: 0...25) | |
pearls[i][1] = Int.random(in: 1...500) | |
} | |
necklace(pearls: pearls) |
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