using System;

public class Program

{

    public static void Main()

    {

        var vectors = 1;

        var maxVectors = 100;

        var maxClusters = 10;

        var logBase = 1.5;

        for(var i = vectors; i <= maxVectors; i++)

        {

            // Log of Base 1.5 of Number of Vectors produces a logarithmic graph.

            // Subtracting 1 so the number of clusters isn't too high for smaller datasets.

            var clusters = Math.Floor(Math.Log(i, logBase)) - 1;

            if(clusters > maxClusters) clusters = maxClusters;

            if (clusters < 1) clusters = 1;

            Console.WriteLine("Vectors: " + i + ", Clusters: " + clusters);

        }

    }

}