#nullable enable

var input = Console.ReadLine()!.Split('.');
var p = long.Parse(input[0]);
var q = 1L;
if (input.Length == 2)
{
    var qs = input[1];
    for (var i = 0; i < qs.Length; i++)
    {
        p *= 10;
        q *= 10;
    }
    p += long.Parse(qs);

}
var history = new HashSet<(long, long)>();
while (p != 0)
{
    if (history.Contains((p, q)))
    {
        Console.WriteLine("infty");
        return;
    }
    history.Add((p, q));
    (p, q) = (q, p);
    p -= p / q * q;
}
var ans = history.Count;
Console.WriteLine(ans);