public int GetSumCyclic4DigitsNumber3()
{
/*
* The ordered set of three 4-digit numbers: 8128, 2882, 8281, has three interesting properties.
*
* The set is cyclic, in that the last two digits of each number is the first two digits of the next number (including the last number with the first).
* Each polygonal type: triangle (P3,127=8128), square (P4,91=8281), and pentagonal (P5,44=2882),
* is represented by a different number in the set.
* This is the only set of 4-digit numbers with this property.
*
*
*/
List <int> triangleValues = E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.TriangleFunc).ToList();
List <int> squareValues = E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.SquareFunc).ToList();
List <int> pentagonalValues = E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.PentagonalFunc).ToList();
List <List <int> > candiates = new List <List <int> >()
{
triangleValues,
squareValues,
pentagonalValues
};
List <int> result = null;
for (int i = 0; i < candiates.Count; i++)
{
var current = candiates[i];
var nextCandidates = candiates.ToList();
nextCandidates.Remove(current);
for (int p = 0; p < current.Count; p++)
{
var polynumber = current[p];
List <int> founded = new List <int>()
{
polynumber
};
result = Recursive(nextCandidates, founded, polynumber);
if (result != null)
{
return(result.Sum());
}
}
}
return(0);
}
public int GetSumCyclic4DigitsNumber()
{
List <List <int> > candiates = new List <List <int> >()
{
E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.TriangleFunc).ToList(),
E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.SquareFunc).ToList(),
E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.PentagonalFunc).ToList(),
E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.HexagonalFunc).ToList(),
E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.HeptagonalFunc).ToList(),
E061CyclicalFigurateNumbers.Polygonal(E061CyclicalFigurateNumbers.OctagonalFunc).ToList()
};
for (int i = 0; i < candiates.Count; i++)
{
var current = candiates[i];
var nextCandidates = candiates.ToList();
nextCandidates.Remove(current);
for (int p = 0; p < current.Count; p++)
{
var polynumber = current[p];
List <int> founded = new List <int>()
{
polynumber
};
var result = Recursive(nextCandidates, founded, polynumber);
if (result != null)
{
return(result.Sum());
}
}
}
throw new Exception("Not found solution");
}
