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24-1.linq
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24-1.linq
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<Query Kind="Program" />
static List<int> packages;
static int minPackages = 6;
static ulong smallestQE = ulong.MaxValue;
void Main()
{
Directory.SetCurrentDirectory(Path.GetDirectoryName(Util.CurrentQueryPath));
var inputLines = File.ReadAllLines("24.txt");
packages = inputLines.Select(il => int.Parse(il)).Reverse().ToList();
int totalWeight = packages.Sum();
int targetWeight = totalWeight / 3;
SubsetSum(packages, targetWeight, new List<int>());
$"{minPackages} packages with {smallestQE} QE".Dump();
}
static void SubsetSum(List<int> numbers, int target, List<int> partial)
{
if (partial.Count > minPackages) return;
int sum = partial.Sum();
if (sum == target &&
partial.Distinct().Count() == partial.Count &&
partial.Count <= minPackages &&
RemainingCanBeWeighted(packages.Where(p => !partial.Contains(p)).ToList(), target, new List<int>()))
{
ulong qe = 1;
foreach (int i in partial)
{
qe *= (ulong)i;
}
if (partial.Count < minPackages)
{
minPackages = partial.Count;
smallestQE = qe;
}
else if (qe < smallestQE)
{
smallestQE = qe;
}
}
if (sum >= target) return;
foreach (int i in Enumerable.Range(0, numbers.Count))
{
int n = numbers[i];
List<int> remaining = numbers.GetRange(1, numbers.Count - 1);
SubsetSum(remaining, target, partial.Concat(new[] { n }).ToList());
}
}
static bool RemainingCanBeWeighted(List<int> numbers, int target, List<int> partial)
{
int sum = partial.Sum();
if (sum == target && partial.Distinct().Count() == partial.Count)
{
return true;
}
if (sum >= target) return false;
foreach (int i in Enumerable.Range(0, numbers.Count))
{
int n = numbers[i];
List<int> remaining = numbers.GetRange(1, numbers.Count - 1);
bool canBeWeighted = RemainingCanBeWeighted(remaining, target, partial.Concat(new[] { n }).ToList());
if (canBeWeighted) return true;
}
return false;
}