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52 changes: 52 additions & 0 deletions archive/c/c-sharp/Zeckendorf.cs
Original file line number Diff line number Diff line change
@@ -0,0 +1,52 @@
using System.Globalization;

public static class Zeckendorf
{
private static readonly long[] Fibs = GenerateFibs();

private static long[] GenerateFibs()
{
var fs = new List<long> { 1, 2 };
while (long.MaxValue - fs[^1] >= fs[^2])
{
fs.Add(fs[^1] + fs[^2]);
}
return [.. fs];
}

public static void Main(string[] args)
{
if (args.Length == 0 || !long.TryParse(args[0], NumberStyles.None, CultureInfo.InvariantCulture, out var n) || n < 0)
{
Console.WriteLine("Usage: please input a non-negative integer");
return;
}

if (n == 0) return;

Span<long> terms = stackalloc long[Fibs.Length];
int count = Decompose(n, terms);

PrintResults(terms[..count]);
}

private static int Decompose(long n, Span<long> terms)
{
int count = 0;
int i = Array.BinarySearch(Fibs, n);
if (i < 0) i = ~i - 1;

for (; i >= 0 && n > 0; i--)
{
if (Fibs[i] <= n)
{
terms[count++] = Fibs[i];
n -= Fibs[i];
}
}
return count;
}

private static void PrintResults(ReadOnlySpan<long> terms) =>
Console.WriteLine(string.Join(", ", terms.ToArray()));
}
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