Reputation: 1865
I`m trying to find the first fib number to contain 1000 digits. Because i have no data-type capeable of holding such a number, i created a class called hugeNumber which holds the digits in a list, with a decimal base. I get a stack overflow at the generation of the list for the "hugenum" class - I am not sure why (is it really not the right way to do it? Is there a better way?)
Here's my code:
class hugeNum
{
List<int> digits = new List<int>();
public hugeNum(int basic)
{
digits.Add(basic);
}
public hugeNum()
{
}
public static hugeNum operator +(hugeNum first, hugeNum second)
{
hugeNum generated = new hugeNum();
hugeNum finalIter = null;
int carry = 0;
int i = 0;
for (i = 0; i<second.digits.Count && i<first.digits.Count; i++)
{
generated.digits.Add(first.digits[i] + second.digits[i] + carry);
if (generated.digits[i] >= 10)
{
carry = 1;
generated.digits[i] -= 10;
}
else
carry = 0;
}
finalIter = first;
if (i==first.digits.Count)
{
finalIter = second;
}
while (i<finalIter.digits.Count)
{
generated.digits.Add(finalIter.digits[i]);
i++;
}
return generated;
}
public int amountOfDigits()
{
return this.digits.Count;
}
}
class Program
{
public static int fibHugesUntilIter(hugeNum huge1, hugeNum huge2, int reqDigits, int iter)
{
if (huge2.amountOfDigits() == reqDigits)
return iter;
return fibHugesUntilIter(huge2, huge1 + huge2, reqDigits, iter + 1);
}
static void Main(string[] args)
{
Console.WriteLine(fibHugesUntilIter(new hugeNum(1), new hugeNum(1), 1000, 1));
}
}
Upvotes: 2
Views: 1781
Reputation: 19031
You can use BigInteger without recursion:
public static int FibHugesUntil(BigInteger huge1, BigInteger huge2, int reqDigits)
{
int number = 1;
while (huge2.ToString().Length < reqDigits)
{
var huge3 = huge1 + huge2;
huge1 = huge2;
huge2 = huge3;
number++;
}
return number;
}
static void Main(string[] args)
{
Console.WriteLine(FibHugesUntil(BigInteger.Zero, BigInteger.One, 1000));
}
Answer: 4782
Upvotes: 6