Task: Kolakoski sequence



C#: using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace KolakoskiSequence {
    class Crutch {
        public readonly int len;
        public int[] s;
        public int i;

        public Crutch(int len) {
            this.len = len;
            s = new int[len];
            i = 0;
        }

        public void Repeat(int count) {
            for (int j = 0; j < count; j++) {
                if (++i == len) return;
                s[i] = s[i - 1];
            }
        }
    }

    static class Extension {
        public static int NextInCycle(this int[] self, int index) {
            return self[index % self.Length];
        }

        public static int[] Kolakoski(this int[] self, int len) {
            Crutch c = new Crutch(len);

            int k = 0;
            while (c.i < len) {
                c.s[c.i] = self.NextInCycle(k);
                if (c.s[k] > 1) {
                    c.Repeat(c.s[k] - 1);
                }
                if (++c.i == len) return c.s;
                k++;
            }
            return c.s;
        }

        public static bool PossibleKolakoski(this int[] self) {
            int[] rle = new int[self.Length];
            int prev = self[0];
            int count = 1;
            int pos = 0;
            for (int i = 1; i < self.Length; i++) {
                if (self[i] == prev) {
                    count++;
                }
                else {
                    rle[pos++] = count;
                    count = 1;
                    prev = self[i];
                }
            }
            
            for (int i = 0; i < pos; i++) {
                if (rle[i] != self[i]) {
                    return false;
                }
            }
            return true;
        }

        public static string AsString(this int[] self) {
            StringBuilder sb = new StringBuilder("[");
            int count = 0;
            foreach (var item in self) {
                if (count > 0) {
                    sb.Append(", ");
                }
                sb.Append(item);
                count++;
            }
            return sb.Append("]").ToString();
        }
    }

    class Program {
        static void Main(string[] args) {
            int[][] ias = {
                new int[]{1, 2},
                new int[]{2, 1},
                new int[]{1, 3, 1, 2},
                new int[]{1, 3, 2, 1}
            };
            int[] lens = { 20, 20, 30, 30 };

            for (int i = 0; i < ias.Length; i++) {
                int len = lens[i];
                int[] kol = ias[i].Kolakoski(len);

                Console.WriteLine("First {0} members of the sequence by {1}: ", len, ias[i].AsString());
                Console.WriteLine(kol.AsString());
                Console.WriteLine("Possible Kolakoski sequence? {0}", kol.PossibleKolakoski());
                Console.WriteLine();
            }
        }
    }
}





Python: import itertools

def cycler(start_items):
	return itertools.cycle(start_items).__next__

def _kolakoski_gen(start_items):
    s, k = [], 0
    c = cycler(start_items)
    while True:
        c_next = c()
        s.append(c_next)
        sk = s[k]
        yield sk
        if sk > 1:
            s += [c_next] * (sk - 1)
        k += 1

def kolakoski(start_items=(1, 2), length=20):
    return list(itertools.islice(_kolakoski_gen(start_items), length))

def _run_len_encoding(truncated_series):
    return [len(list(group)) for grouper, group in itertools.groupby(truncated_series)][:-1]

def is_series_eq_its_rle(series):
    rle = _run_len_encoding(series)
    return (series[:len(rle)] == rle) if rle else not series

if __name__ == '__main__':
    for start_items, length in [((1, 2), 20), ((2, 1), 20), 
                                ((1, 3, 1, 2), 30), ((1, 3, 2, 1), 30)]:
        print(f'\n
        s = kolakoski(start_items, length)
        print(f'  {s}')
        ans = 'YES' if is_series_eq_its_rle(s) else 'NO'
        print(f'  Does it look like a Kolakoski sequence: {ans}')