csharp Неубывающаясуммаквадратов

Posted 2021-05-12

public static string decompose(long n)
{
    return FindOtherRoots(n * n, n - 1);
}

private static string FindOtherRoots(long remainder, long number)
{
    for (long i = number; i > 0; i--)
    {
        long square = i * i;
        if (square == remainder)
        {
            return i.ToString();
        }

        if (square < remainder)
        {
            string answer = FindOtherRoots(remainder - square, i - 1);
            if (answer != null)
            {
                return answer + " " + i;
            }
        }
    }

    return null;
}