public static Result LatticePaths(Problem arguments)
{
ulong gridSize = arguments.BigNumber;
var x
= UtilityMath.FactorialOverFlow(gridSize);
var y = UtilityMath.FactorialOverFlow(2 * gridSize);
BigInteger a = BigInteger.Parse(x);
BigInteger b = BigInteger.Parse(y);
BigInteger n = BigInteger.Pow(a, 2);
BigInteger routes = BigInteger.Divide(b, n);
var m = string.Format("There are {0} route(s) in a {1}x{1} grid.", routes, gridSize);
var r = new Result(arguments.Id, m);
return(r);
}
