public static void Main(string[] args)
{
var n = long.Parse(Console.ReadLine());
var aMatrix = new FibMatrix(); // the initial fibonachi matrix 1, 1, 1, 0
Console.WriteLine(PowModeFibMatrix(aMatrix, n).Matrix[0, 1]);
}
public FibMatrix(FibMatrix A, FibMatrix B)
{
this.Matrix = new long[2, 2];
this.Matrix[0, 0] = A.Matrix[0, 0] * B.Matrix[0, 0] + A.Matrix[0, 1] * B.Matrix[1, 0];
this.Matrix[0, 1] = A.Matrix[0, 0] * B.Matrix[0, 1] + A.Matrix[0, 1] * B.Matrix[1, 1];
this.Matrix[1, 0] = A.Matrix[1, 0] * B.Matrix[0, 0] + A.Matrix[1, 1] * B.Matrix[1, 0];
this.Matrix[1, 1] = A.Matrix[1, 0] * B.Matrix[0, 1] + A.Matrix[1, 1] * B.Matrix[1, 1];
this.Matrix[0, 0] %= MODULE;
this.Matrix[0, 1] %= MODULE;
this.Matrix[1, 0] %= MODULE;
this.Matrix[1, 1] %= MODULE;
}
public static FibMatrix PowModeFibMatrix(FibMatrix a, long p)
{
if (p == 1)
{
return a;
}
if (p % 2 == 1)
{
return new FibMatrix(PowModeFibMatrix(a, p - 1), a);
}
a = PowModeFibMatrix(a, p / 2);
return new FibMatrix(a, a);
}
