public static BigInt Exp(int x, int y)
{
if (x == 0) return new BigInt("0");
if (y == 0) return new BigInt("1");
BigInt ret = new BigInt(x.ToString());
for (int i = 0; i < y-1; i++) {
ret = ret.Product(x);
}
return ret;
}
public override object Run(RunModes runMode, object input, bool Logging)
{
int upperLimit = (int) input;
BigInt.MaxIndex = 9;
BigInt sumSquares = new BigInt("");
for (int i = 1; i <= upperLimit; i++) {
BigInt prod = BigInt.Exp(i, i);
sumSquares = sumSquares.SumBigIntNumbers(new List<BigInt>{sumSquares, prod});
}
return sumSquares.Value;
}
public override object Run(RunModes runMode, object input, bool Logging)
{
var upperLimit = (int) input;
var distinctExponentials = new List<BigInt>();
for (int a = 2; a <= upperLimit; a++) {
var bigIntA = new BigInt(a.ToString());
for (int b = 2; b <= upperLimit; b++) {
bigIntA = bigIntA.Product(a);
distinctExponentials.Add(bigIntA);
}
}
return distinctExponentials.Distinct().Count();
}
public static IEnumerable<BigInt> Sequence(BigInt upperLimit)
{
List<BigInt> sequence = new List<BigInt>();
BigInt fibCur = new BigInt("1");
BigInt fibPrev = new BigInt("1");
sequence.Add(fibPrev);
while (fibCur.CompareTo(upperLimit) < 0) {
sequence.Add(fibCur);
BigInt temp = new BigInt(fibCur.Value);
fibCur = new BigInt("").SumBigIntNumbers(new List<BigInt> { fibCur, fibPrev });
fibPrev = new BigInt(temp.Value);
}
return sequence;
}
public BigInt SumBigIntNumbers(List<BigInt> stringNumbers)
{
var maxIndex = (MaxIndex!=0) ? MaxIndex : stringNumbers.Max(s => s.Value.Length) - 1;
long carry = 0;
BigInt result = new BigInt("");
for(int i=0;i<=maxIndex;i++) {
result = new BigInt(AddStringAtIndex(stringNumbers, i, ref carry).Value + result.Value);
}
var carryBigInt = new BigInt(carry.ToString());
carryBigInt.StripLeadingZeros();
result = new BigInt(carryBigInt.Value + result.Value);
result.StripLeadingZeros();
return result;
}