Lempel_Ziv_Encoding_of_Random_Symbols.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# ***Import Libraries***"
      ],
      "metadata": {
        "id": "EUgHIsoiWxc8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "pip install bitarray"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "FlHTvrk2ngeo",
        "outputId": "07582f2d-5dbd-4d63-cfc5-d4e7d55108a7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: bitarray in /usr/local/lib/python3.8/dist-packages (2.6.2)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from collections import defaultdict\n",
        "from bitarray import bitarray\n",
        "import random\n",
        "import math"
      ],
      "metadata": {
        "id": "CdvgHJY8LlvJ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***General values***"
      ],
      "metadata": {
        "id": "sZEG5w_O1Bfy"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "prop_a = 0.4\n",
        "prop_b = 0.3\n",
        "prop_c = 0.2\n",
        "prop_d = 0.1"
      ],
      "metadata": {
        "id": "S5hYzk4T1FNj"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Generate a random sequence of symbols a, b, c, d, such that P(a)=0.4, P(b)=03, P(c) = 0.2, P(d)=0.1***"
      ],
      "metadata": {
        "id": "IZ5tRCzUW49A"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "DnOUfckuFshd"
      },
      "outputs": [],
      "source": [
        "def generate_sequence(sequence_size, sequence):\n",
        "  #generate a, b, c, d depends on their probabilites\n",
        "  sequence += list(random.choice('a') for _ in range(int(sequence_size * prop_a)) )\n",
        "  sequence += list(random.choice('b') for _ in range(int(sequence_size * prop_b)) )\n",
        "  sequence += list(random.choice('c') for _ in range(int(sequence_size * prop_c)) )\n",
        "  sequence += list(random.choice('d') for _ in range(int(sequence_size * prop_d)) )\n",
        "\n",
        "  # shuffle all characters\n",
        "  random.SystemRandom().shuffle(sequence)\n",
        "  sequence = ''.join(sequence)   #convert list to string\n",
        "\n",
        "  print(\"The random sequnce generated with size = \", sequence_size, \"symbols is \",sequence)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Find Source Entropy H***"
      ],
      "metadata": {
        "id": "eRt-Yw5VXx5E"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def find_entropy(sequence):\n",
        "  Source_entropy = 0\n",
        "\n",
        "  freq_lib = defaultdict(int)          #generate a default library\n",
        "  for ch in sequence:                  #count each letter and record into the frequency library\n",
        "    freq_lib[ch]+=1\n",
        "\n",
        "  Source_entropy =  freq_lib['a']*(prop_a * math.log2(1/prop_a)) + freq_lib['b']*(prop_b * math.log2(1/prop_b)) + freq_lib['c']*(prop_c * math.log2(1/prop_c)) + freq_lib['d']*(prop_d * math.log2(1/prop_d))\n",
        "\n",
        "  print(\"Entropy of the alphabet = \", Source_entropy, \"bit/ symbol\")"
      ],
      "metadata": {
        "id": "-vQc_YSOK9P6"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Parse the data and assign a number to each phrase***"
      ],
      "metadata": {
        "id": "ooiNLC09YN_s"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def parsing_and_findEncodedPackets(dictionary_contents, encoded_packets):\n",
        "  ch = 0\n",
        "\n",
        "  dictionary_contents_table = []\n",
        "\n",
        "  p = sequence[ch]                            #take the first element in the sequence\n",
        "\n",
        "  while(ch != (len(sequence) - 1)):\n",
        "  \n",
        "    if p in dictionary_contents_table:        # if p exist in the sequnce\n",
        "      c = sequence[ch+1]\n",
        "      ch +=1\n",
        "      encoded_num = dictionary_contents_table.index(p) + 1\n",
        "      p = p + c\n",
        "    if not p in dictionary_contents_table:    #if p not on the table\n",
        "      dictionary_contents_table.append(p)    \n",
        "      if len(p) == 1:\n",
        "        encoded_packets[p] = 0\n",
        "      else:\n",
        "        encoded_packets[p] = encoded_num \n",
        "      if ch != (len(sequence) - 1):\n",
        "        ch += 1  \n",
        "        p = sequence[ch]  \n",
        "\n",
        "  for i in range(len(dictionary_contents_table)):\n",
        "    dictionary_contents[i+1] = dictionary_contents_table[i]\n",
        "    \n",
        "  print(\"Parsing data with number assigned each: \\n\", dictionary_contents)\n",
        "\n",
        "  print(\"Encoded Packets generated: \\n\", encoded_packets)"
      ],
      "metadata": {
        "id": "XPsfsJj4Q40l"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Find the number of binary digits needed to encode the sequence***"
      ],
      "metadata": {
        "id": "zqeYQgT2lO_i"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def find_NB(dictionary_contents, encoded_packets):\n",
        "  LZ_compression_bits_needed = len(dictionary_contents) * (8 + len(format(  max(list(encoded_packets.values())  ), 'b'))   )\n",
        "\n",
        "  print(\"With LZ compression, the number of bits needed is ((NB)):\", LZ_compression_bits_needed)\n",
        "\n",
        "  return( LZ_compression_bits_needed)"
      ],
      "metadata": {
        "id": "xXcX-FrNlXHY"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Number of bits per phrase assuming that the tail of each codeword is in ASCII format (8 bits).***"
      ],
      "metadata": {
        "id": "DDUpOlxMo12r"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def bits_per_phrase(encoded_packets):\n",
        "  bits_per_phrase = 8 + len(format(  max(list(encoded_packets.values())  ), 'b'))\n",
        "\n",
        "  print(\"number of bits per phrase assuming that the tail of each codeword is in ASCII format (8 bits) = \", bits_per_phrase)"
      ],
      "metadata": {
        "id": "jOzDb4wBo5NA"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Find the compression ratio relative to the ASCII code***"
      ],
      "metadata": {
        "id": "Z-qxnXMu2bDE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def commp_ratio(NB_avg, sequence_size):\n",
        "  commpression_ratio = (NB_avg/ (8*sequence_size)) * 100\n",
        "\n",
        "  print(\"The compression ratio relative to the ASCII code = \", commpression_ratio , \"%\")"
      ],
      "metadata": {
        "id": "GQ6v6AX32eYB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Repeat parts 4 and 5 five times and find the average value of (NB)***\n",
        "# ***Parsing the data, find NB and bits per symbol***"
      ],
      "metadata": {
        "id": "BrNdRS11t4TG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 20\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "x3hWexjyt6q7",
        "outputId": "1c4d8025-4cd4-4841-b326-92c06f599513"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  20 symbols is  acbacacbdbadababacba\n",
            "Entropy of the alphabet =  9.878636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'c', 3: 'b', 4: 'ac', 5: 'acb', 6: 'd', 7: 'ba', 8: 'da', 9: 'bab', 10: 'acba'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'c': 0, 'b': 0, 'ac': 1, 'acb': 4, 'd': 0, 'ba': 3, 'da': 6, 'bab': 7, 'acba': 5}\n",
            "With LZ compression, the number of bits needed is ((NB)): 110\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  11\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  20 symbols is  abbaaacbbdcadccbabaa\n",
            "Entropy of the alphabet =  9.878636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'ba', 4: 'aa', 5: 'c', 6: 'bb', 7: 'd', 8: 'ca', 9: 'dc', 10: 'cb', 11: 'ab'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'c': 0, 'b': 0, 'ac': 1, 'acb': 4, 'd': 0, 'ba': 2, 'da': 6, 'bab': 7, 'acba': 5, 'aa': 1, 'bb': 2, 'ca': 5, 'dc': 7, 'cb': 5, 'ab': 1}\n",
            "With LZ compression, the number of bits needed is ((NB)): 121\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  11\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  20 symbols is  cccaabbbcabdababadaa\n",
            "Entropy of the alphabet =  9.878636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'c', 2: 'cc', 3: 'a', 4: 'ab', 5: 'b', 6: 'bc', 7: 'abd', 8: 'aba', 9: 'ba', 10: 'd', 11: 'aa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'c': 0, 'b': 0, 'ac': 1, 'acb': 4, 'd': 0, 'ba': 5, 'da': 6, 'bab': 7, 'acba': 5, 'aa': 3, 'bb': 2, 'ca': 5, 'dc': 7, 'cb': 5, 'ab': 3, 'cc': 1, 'bc': 5, 'abd': 4, 'aba': 4}\n",
            "With LZ compression, the number of bits needed is ((NB)): 121\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  11\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  20 symbols is  abcbcabababcadcaadab\n",
            "Entropy of the alphabet =  9.878636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'c', 4: 'bc', 5: 'ab', 6: 'aba', 7: 'bca', 8: 'd', 9: 'ca', 10: 'ad', 11: 'aa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'c': 0, 'b': 0, 'ac': 1, 'acb': 4, 'd': 0, 'ba': 5, 'da': 6, 'bab': 7, 'acba': 5, 'aa': 3, 'bb': 2, 'ca': 3, 'dc': 7, 'cb': 5, 'ab': 1, 'cc': 1, 'bc': 2, 'abd': 4, 'aba': 5, 'bca': 4, 'ad': 1}\n",
            "With LZ compression, the number of bits needed is ((NB)): 121\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  11\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  20 symbols is  bcabaaacabccabaddbba\n",
            "Entropy of the alphabet =  9.878636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'c', 3: 'a', 4: 'ba', 5: 'aa', 6: 'ca', 7: 'bc', 8: 'cab', 9: 'ad', 10: 'd', 11: 'bb'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'c': 0, 'b': 0, 'ac': 1, 'acb': 4, 'd': 0, 'ba': 1, 'da': 6, 'bab': 7, 'acba': 5, 'aa': 3, 'bb': 1, 'ca': 2, 'dc': 7, 'cb': 5, 'ab': 1, 'cc': 1, 'bc': 1, 'abd': 4, 'aba': 5, 'bca': 4, 'ad': 3, 'cab': 6}\n",
            "With LZ compression, the number of bits needed is ((NB)): 121\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  11\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  118.8\n",
            "The compression ratio relative to the ASCII code =  74.25 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# ***Fill table with sequence size wanted***"
      ],
      "metadata": {
        "id": "usG3vTol4Y6C"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "***N = 50***"
      ],
      "metadata": {
        "id": "xzrScgVZ42RD"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 50\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7DA_qs6w4L1Q",
        "outputId": "d306775f-92e7-4736-94a9-f93dfdba366a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  50 symbols is  bcbbaadbacdcbcbbaaaaabdbabcaaabbbdbaccaadcacaaacab\n",
            "Entropy of the alphabet =  24.69659017006523 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'c', 3: 'bb', 4: 'a', 5: 'ad', 6: 'ba', 7: 'cd', 8: 'cb', 9: 'cbb', 10: 'aa', 11: 'aaa', 12: 'bd', 13: 'bab', 14: 'ca', 15: 'aab', 16: 'bbd', 17: 'bac', 18: 'caa', 19: 'd', 20: 'cac', 21: 'aaac', 22: 'ab'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'c': 0, 'bb': 1, 'a': 0, 'ad': 4, 'ba': 1, 'cd': 2, 'cb': 2, 'cbb': 8, 'aa': 4, 'aaa': 10, 'bd': 1, 'bab': 6, 'ca': 2, 'aab': 10, 'bbd': 3, 'bac': 6, 'caa': 14, 'd': 0, 'cac': 14, 'aaac': 11, 'ab': 4}\n",
            "With LZ compression, the number of bits needed is ((NB)): 264\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  12\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  50 symbols is  babbaddacacbbacadcabcbcabbccacadacaabaabbaabaabadb\n",
            "Entropy of the alphabet =  24.69659017006523 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'a', 3: 'bb', 4: 'ad', 5: 'd', 6: 'ac', 7: 'acb', 8: 'ba', 9: 'c', 10: 'adc', 11: 'ab', 12: 'cb', 13: 'ca', 14: 'bbc', 15: 'cac', 16: 'ada', 17: 'caa', 18: 'baa', 19: 'bba', 20: 'aba', 21: 'abad', 22: 'ab'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'c': 0, 'bb': 1, 'a': 0, 'ad': 2, 'ba': 1, 'cd': 2, 'cb': 9, 'cbb': 8, 'aa': 4, 'aaa': 10, 'bd': 1, 'bab': 6, 'ca': 9, 'aab': 10, 'bbd': 3, 'bac': 6, 'caa': 13, 'd': 0, 'cac': 13, 'aaac': 11, 'ab': 2, 'ac': 2, 'acb': 6, 'adc': 4, 'bbc': 3, 'ada': 4, 'baa': 8, 'bba': 3, 'aba': 11, 'abad': 20}\n",
            "With LZ compression, the number of bits needed is ((NB)): 286\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  13\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  50 symbols is  aaacaacbaabbbabaabddaabdbbabdbbadcaccacaaacbcbbcac\n",
            "Entropy of the alphabet =  24.69659017006523 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'aa', 3: 'c', 4: 'aac', 5: 'b', 6: 'aab', 7: 'bb', 8: 'ab', 9: 'aabd', 10: 'd', 11: 'aabdb', 12: 'ba', 13: 'bd', 14: 'bba', 15: 'dc', 16: 'ac', 17: 'ca', 18: 'caa', 19: 'acb', 20: 'cb', 21: 'bc', 22: 'ab'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'c': 0, 'bb': 5, 'a': 0, 'ad': 2, 'ba': 5, 'cd': 2, 'cb': 3, 'cbb': 8, 'aa': 1, 'aaa': 10, 'bd': 5, 'bab': 6, 'ca': 3, 'aab': 2, 'bbd': 3, 'bac': 6, 'caa': 17, 'd': 0, 'cac': 13, 'aaac': 11, 'ab': 1, 'ac': 1, 'acb': 16, 'adc': 4, 'bbc': 3, 'ada': 4, 'baa': 8, 'bba': 7, 'aba': 11, 'abad': 20, 'aac': 2, 'aabd': 6, 'aabdb': 9, 'dc': 10, 'bc': 5}\n",
            "With LZ compression, the number of bits needed is ((NB)): 286\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  13\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  50 symbols is  cabcbadadadababbadaaccbbbcaacacacaaaacacbbbbdbaabb\n",
            "Entropy of the alphabet =  24.69659017006523 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'c', 2: 'a', 3: 'b', 4: 'cb', 5: 'ad', 6: 'ada', 7: 'd', 8: 'ab', 9: 'abb', 10: 'adaa', 11: 'cc', 12: 'bb', 13: 'bc', 14: 'aa', 15: 'ca', 16: 'cac', 17: 'aaa', 18: 'ac', 19: 'acb', 20: 'bbb', 21: 'db', 22: 'aab'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'c': 0, 'bb': 3, 'a': 0, 'ad': 2, 'ba': 5, 'cd': 2, 'cb': 1, 'cbb': 8, 'aa': 2, 'aaa': 14, 'bd': 5, 'bab': 6, 'ca': 1, 'aab': 14, 'bbd': 3, 'bac': 6, 'caa': 17, 'd': 0, 'cac': 15, 'aaac': 11, 'ab': 2, 'ac': 2, 'acb': 18, 'adc': 4, 'bbc': 3, 'ada': 5, 'baa': 8, 'bba': 7, 'aba': 11, 'abad': 20, 'aac': 2, 'aabd': 6, 'aabdb': 9, 'dc': 10, 'bc': 3, 'abb': 8, 'adaa': 6, 'cc': 1, 'bbb': 12, 'db': 7}\n",
            "With LZ compression, the number of bits needed is ((NB)): 286\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  13\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  50 symbols is  aabcabbdabacababccaadcaaacaabaacbcacaabcdbbbbbaddb\n",
            "Entropy of the alphabet =  24.69659017006523 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'ab', 3: 'c', 4: 'abb', 5: 'd', 6: 'aba', 7: 'ca', 8: 'b', 9: 'abc', 10: 'caa', 11: 'dc', 12: 'aa', 13: 'ac', 14: 'aab', 15: 'aac', 16: 'bc', 17: 'aca', 18: 'abcd', 19: 'bb', 20: 'bbb', 21: 'ad', 22: 'db'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'c': 0, 'bb': 8, 'a': 0, 'ad': 1, 'ba': 5, 'cd': 2, 'cb': 1, 'cbb': 8, 'aa': 1, 'aaa': 14, 'bd': 5, 'bab': 6, 'ca': 3, 'aab': 12, 'bbd': 3, 'bac': 6, 'caa': 7, 'd': 0, 'cac': 15, 'aaac': 11, 'ab': 1, 'ac': 1, 'acb': 18, 'adc': 4, 'bbc': 3, 'ada': 5, 'baa': 8, 'bba': 7, 'aba': 2, 'abad': 20, 'aac': 12, 'aabd': 6, 'aabdb': 9, 'dc': 5, 'bc': 8, 'abb': 2, 'adaa': 6, 'cc': 1, 'bbb': 19, 'db': 5, 'abc': 2, 'aca': 13, 'abcd': 9}\n",
            "With LZ compression, the number of bits needed is ((NB)): 286\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  13\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  281.6\n",
            "The compression ratio relative to the ASCII code =  70.4 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***N = 100***"
      ],
      "metadata": {
        "id": "QxtjZwwk487h"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 100\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0M6WSldS5C6-",
        "outputId": "ec99b961-0da2-42f7-c3a0-87de5f9c072e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  100 symbols is  bbabaababaaabbaacbccaacadbbabdbdbaabbcdaabcaadbbaacabaaacaccbabacacccadaadbdbccaadbcabccdabbabacbaab\n",
            "Entropy of the alphabet =  49.39318034013046 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'ba', 3: 'baa', 4: 'bab', 5: 'a', 6: 'aa', 7: 'bb', 8: 'aac', 9: 'bc', 10: 'c', 11: 'aaca', 12: 'd', 13: 'bba', 14: 'bd', 15: 'bdb', 16: 'aab', 17: 'bcd', 18: 'aabc', 19: 'aad', 20: 'bbaa', 21: 'ca', 22: 'baaa', 23: 'cac', 24: 'cb', 25: 'ab', 26: 'ac', 27: 'acc', 28: 'cad', 29: 'aadb', 30: 'db', 31: 'cc', 32: 'aadbc', 33: 'abc', 34: 'cd', 35: 'abb', 36: 'aba', 37: 'cba'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'ba': 1, 'baa': 2, 'bab': 2, 'a': 0, 'aa': 5, 'bb': 1, 'aac': 6, 'bc': 1, 'c': 0, 'aaca': 8, 'd': 0, 'bba': 7, 'bd': 1, 'bdb': 14, 'aab': 6, 'bcd': 9, 'aabc': 16, 'aad': 6, 'bbaa': 13, 'ca': 10, 'baaa': 3, 'cac': 21, 'cb': 10, 'ab': 5, 'ac': 5, 'acc': 26, 'cad': 21, 'aadb': 19, 'db': 12, 'cc': 10, 'aadbc': 29, 'abc': 25, 'cd': 10, 'abb': 25, 'aba': 25, 'cba': 24}\n",
            "With LZ compression, the number of bits needed is ((NB)): 481\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  13\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  100 symbols is  bbacbacadacabbbabaabaaabaacaddabaaabacbaccbdaabcbabdbbaccdccbacdaabaadacacabbbbaababacacdaacbacdbbbc\n",
            "Entropy of the alphabet =  49.39318034013046 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'ba', 3: 'c', 4: 'bac', 5: 'a', 6: 'd', 7: 'ac', 8: 'ab', 9: 'bb', 10: 'aba', 11: 'abaa', 12: 'abaac', 13: 'ad', 14: 'da', 15: 'baa', 16: 'abac', 17: 'bacc', 18: 'bd', 19: 'aa', 20: 'bc', 21: 'bab', 22: 'db', 23: 'baccd', 24: 'cc', 25: 'bacd', 26: 'aab', 27: 'aad', 28: 'aca', 29: 'ca', 30: 'bbb', 31: 'baab', 32: 'abaca', 33: 'cd', 34: 'aac', 35: 'bacdb', 36: 'bbc', 37: 'cba'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'ba': 1, 'baa': 2, 'bab': 2, 'a': 0, 'aa': 5, 'bb': 1, 'aac': 19, 'bc': 1, 'c': 0, 'aaca': 8, 'd': 0, 'bba': 7, 'bd': 1, 'bdb': 14, 'aab': 19, 'bcd': 9, 'aabc': 16, 'aad': 19, 'bbaa': 13, 'ca': 3, 'baaa': 3, 'cac': 21, 'cb': 10, 'ab': 5, 'ac': 5, 'acc': 26, 'cad': 21, 'aadb': 19, 'db': 6, 'cc': 3, 'aadbc': 29, 'abc': 25, 'cd': 3, 'abb': 25, 'aba': 8, 'cba': 24, 'bac': 2, 'abaa': 10, 'abaac': 11, 'ad': 5, 'da': 6, 'abac': 10, 'bacc': 4, 'baccd': 17, 'bacd': 4, 'aca': 7, 'bbb': 9, 'baab': 15, 'abaca': 16, 'bacdb': 25, 'bbc': 9}\n",
            "With LZ compression, the number of bits needed is ((NB)): 481\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  13\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  100 symbols is  adabacacabbaabcbacbbbaabadabacaabbbaccbdaabbbaacbacdbcdbbdaabddaabcabcacaccbabacabbccabcabdaaaadaaac\n",
            "Entropy of the alphabet =  49.39318034013046 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'd', 3: 'ab', 4: 'ac', 5: 'aca', 6: 'b', 7: 'ba', 8: 'abc', 9: 'bac', 10: 'bb', 11: 'baa', 12: 'bad', 13: 'aba', 14: 'c', 15: 'aa', 16: 'bbb', 17: 'acc', 18: 'bd', 19: 'aab', 20: 'bba', 21: 'acb', 22: 'acd', 23: 'bc', 24: 'db', 25: 'bda', 26: 'abd', 27: 'da', 28: 'abca', 29: 'bca', 30: 'ca', 31: 'cc', 32: 'bab', 33: 'acab', 34: 'bcc', 35: 'abcab', 36: 'daa', 37: 'aad', 38: 'aaa'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'ba': 6, 'baa': 7, 'bab': 7, 'a': 0, 'aa': 1, 'bb': 6, 'aac': 19, 'bc': 6, 'c': 0, 'aaca': 8, 'd': 0, 'bba': 10, 'bd': 6, 'bdb': 14, 'aab': 15, 'bcd': 9, 'aabc': 16, 'aad': 15, 'bbaa': 13, 'ca': 14, 'baaa': 3, 'cac': 21, 'cb': 10, 'ab': 1, 'ac': 1, 'acc': 4, 'cad': 21, 'aadb': 19, 'db': 2, 'cc': 14, 'aadbc': 29, 'abc': 3, 'cd': 3, 'abb': 25, 'aba': 3, 'cba': 24, 'bac': 7, 'abaa': 10, 'abaac': 11, 'ad': 5, 'da': 2, 'abac': 10, 'bacc': 4, 'baccd': 17, 'bacd': 4, 'aca': 4, 'bbb': 10, 'baab': 15, 'abaca': 16, 'bacdb': 25, 'bbc': 9, 'bad': 7, 'acb': 4, 'acd': 4, 'bda': 18, 'abd': 3, 'abca': 8, 'bca': 23, 'acab': 5, 'bcc': 23, 'abcab': 28, 'daa': 27, 'aaa': 15}\n",
            "With LZ compression, the number of bits needed is ((NB)): 494\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  13\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  100 symbols is  bcacabaabbcaabbcdaabbaccbcacdabbabdbcaaacdcbabbbabababbabacaacabdbaabcdabacadacbbadbadcaaaacbdaaaacc\n",
            "Entropy of the alphabet =  49.39318034013046 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'c', 3: 'a', 4: 'ca', 5: 'ba', 6: 'ab', 7: 'bc', 8: 'aa', 9: 'bb', 10: 'cd', 11: 'aab', 12: 'bac', 13: 'cb', 14: 'cac', 15: 'd', 16: 'abb', 17: 'abd', 18: 'bca', 19: 'aac', 20: 'dc', 21: 'bab', 22: 'bba', 23: 'baba', 24: 'bbab', 25: 'ac', 26: 'aaca', 27: 'bd', 28: 'baa', 29: 'bcd', 30: 'aba', 31: 'cad', 32: 'acb', 33: 'bad', 34: 'badc', 35: 'aaa', 36: 'acbd', 37: 'aaaa', 38: 'cc'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'ba': 1, 'baa': 5, 'bab': 5, 'a': 0, 'aa': 3, 'bb': 1, 'aac': 8, 'bc': 1, 'c': 0, 'aaca': 19, 'd': 0, 'bba': 9, 'bd': 1, 'bdb': 14, 'aab': 8, 'bcd': 7, 'aabc': 16, 'aad': 15, 'bbaa': 13, 'ca': 2, 'baaa': 3, 'cac': 4, 'cb': 2, 'ab': 3, 'ac': 3, 'acc': 4, 'cad': 4, 'aadb': 19, 'db': 2, 'cc': 2, 'aadbc': 29, 'abc': 3, 'cd': 2, 'abb': 6, 'aba': 6, 'cba': 24, 'bac': 5, 'abaa': 10, 'abaac': 11, 'ad': 5, 'da': 2, 'abac': 10, 'bacc': 4, 'baccd': 17, 'bacd': 4, 'aca': 4, 'bbb': 10, 'baab': 15, 'abaca': 16, 'bacdb': 25, 'bbc': 9, 'bad': 5, 'acb': 25, 'acd': 4, 'bda': 18, 'abd': 6, 'abca': 8, 'bca': 7, 'acab': 5, 'bcc': 23, 'abcab': 28, 'daa': 27, 'aaa': 8, 'dc': 15, 'baba': 21, 'bbab': 22, 'badc': 33, 'acbd': 32, 'aaaa': 35}\n",
            "With LZ compression, the number of bits needed is ((NB)): 532\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  14\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  100 symbols is  bcbcacaaaccaabbcadbaaacdcaabdbccabaacdbbbbbbaccbabaacdbbaaabadbabcabdababbababbacaaddcaacbcaaabadaca\n",
            "Entropy of the alphabet =  49.39318034013046 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'c', 3: 'bc', 4: 'a', 5: 'ca', 6: 'aa', 7: 'cc', 8: 'aab', 9: 'bca', 10: 'd', 11: 'ba', 12: 'aac', 13: 'dc', 14: 'aabd', 15: 'bcc', 16: 'ab', 17: 'aacd', 18: 'bb', 19: 'bbb', 20: 'bac', 21: 'cb', 22: 'aba', 23: 'ac', 24: 'db', 25: 'baa', 26: 'abad', 27: 'bab', 28: 'cab', 29: 'da', 30: 'babb', 31: 'abab', 32: 'baca', 33: 'ad', 34: 'dca', 35: 'acb', 36: 'caa', 37: 'abada', 38: 'cc'}\n",
            "Encoded Packets generated: \n",
            " {'b': 0, 'ba': 1, 'baa': 11, 'bab': 11, 'a': 0, 'aa': 4, 'bb': 1, 'aac': 6, 'bc': 1, 'c': 0, 'aaca': 19, 'd': 0, 'bba': 9, 'bd': 1, 'bdb': 14, 'aab': 6, 'bcd': 7, 'aabc': 16, 'aad': 15, 'bbaa': 13, 'ca': 2, 'baaa': 3, 'cac': 4, 'cb': 2, 'ab': 4, 'ac': 4, 'acc': 4, 'cad': 4, 'aadb': 19, 'db': 10, 'cc': 2, 'aadbc': 29, 'abc': 3, 'cd': 2, 'abb': 6, 'aba': 16, 'cba': 24, 'bac': 11, 'abaa': 10, 'abaac': 11, 'ad': 4, 'da': 10, 'abac': 10, 'bacc': 4, 'baccd': 17, 'bacd': 4, 'aca': 4, 'bbb': 18, 'baab': 15, 'abaca': 16, 'bacdb': 25, 'bbc': 9, 'bad': 5, 'acb': 23, 'acd': 4, 'bda': 18, 'abd': 6, 'abca': 8, 'bca': 3, 'acab': 5, 'bcc': 3, 'abcab': 28, 'daa': 27, 'aaa': 8, 'dc': 10, 'baba': 21, 'bbab': 22, 'badc': 33, 'acbd': 32, 'aaaa': 35, 'aabd': 8, 'aacd': 12, 'abad': 22, 'cab': 5, 'babb': 27, 'abab': 22, 'baca': 20, 'dca': 13, 'caa': 5, 'abada': 26}\n",
            "With LZ compression, the number of bits needed is ((NB)): 532\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  14\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  504.0\n",
            "The compression ratio relative to the ASCII code =  63.0 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***N = 200***"
      ],
      "metadata": {
        "id": "y8lb6Run5E71"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 200\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4Zp2OrpB5HMP",
        "outputId": "882e7073-39aa-41ab-f57f-4cb8511a6053"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  200 symbols is  ababbbadbaabcbcbccbbacadcdbcbaadaddacabbaccacadbcbaabacaaaaaadbcdcaccababcccacbbcdabcbcdcaaababdaacaabaacbaaaaaaadbcbbabcbbaaaaaabbdbacaaddacbaabbbbbacbdcacbbababbbbbccbacababaadadaaacabcaabbacbbdaaaa\n",
            "Entropy of the alphabet =  98.78636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'ab', 4: 'bb', 5: 'ad', 6: 'ba', 7: 'abc', 8: 'bc', 9: 'bcc', 10: 'bba', 11: 'c', 12: 'adc', 13: 'd', 14: 'bcb', 15: 'aa', 16: 'da', 17: 'dd', 18: 'ac', 19: 'abb', 20: 'acc', 21: 'aca', 22: 'db', 23: 'cb', 24: 'aab', 25: 'acaa', 26: 'aaa', 27: 'adb', 28: 'cd', 29: 'ca', 30: 'cc', 31: 'aba', 32: 'bccc', 33: 'acb', 34: 'bcd', 35: 'abcb', 36: 'cdc', 37: 'aaab', 38: 'abd', 39: 'aac', 40: 'aaba', 41: 'acba', 42: 'aaaa', 43: 'aad', 44: 'bcbb', 45: 'abcbb', 46: 'aaaaa', 47: 'abbd', 48: 'bac', 49: 'aadd', 50: 'acbaa', 51: 'bbb', 52: 'bbac', 53: 'bd', 54: 'cac', 55: 'bbab', 56: 'abbb', 57: 'bbc', 58: 'cba', 59: 'cab', 60: 'abaa', 61: 'dad', 62: 'aaac', 63: 'abca', 64: 'abba', 65: 'cbb', 66: 'daa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'ab': 1, 'bb': 2, 'ad': 1, 'ba': 2, 'abc': 3, 'bc': 2, 'bcc': 8, 'bba': 4, 'c': 0, 'adc': 5, 'd': 0, 'bcb': 8, 'aa': 1, 'da': 13, 'dd': 13, 'ac': 1, 'abb': 3, 'acc': 18, 'aca': 18, 'db': 13, 'cb': 11, 'aab': 15, 'acaa': 21, 'aaa': 15, 'adb': 5, 'cd': 11, 'ca': 11, 'cc': 11, 'aba': 3, 'bccc': 9, 'acb': 18, 'bcd': 8, 'abcb': 7, 'cdc': 28, 'aaab': 26, 'abd': 3, 'aac': 15, 'aaba': 24, 'acba': 33, 'aaaa': 26, 'aad': 15, 'bcbb': 14, 'abcbb': 35, 'aaaaa': 42, 'abbd': 19, 'bac': 6, 'aadd': 43, 'acbaa': 41, 'bbb': 4, 'bbac': 10, 'bd': 2, 'cac': 29, 'bbab': 10, 'abbb': 19, 'bbc': 4, 'cba': 23, 'cab': 29, 'abaa': 31, 'dad': 16, 'aaac': 26, 'abca': 7, 'abba': 19, 'cbb': 23, 'daa': 16}\n",
            "With LZ compression, the number of bits needed is ((NB)): 924\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  14\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  200 symbols is  aaadabaacccdbadbaaabcccbdcbcaacbcadccaacaaadacaacbdacaabbbaabbdcdcbcbabaabbdadcaabaabacaaadabdacbcacaacbbababacaaacbdabcbabcbcbabdadadabbaabccaacdcababdabcabbbaacbaabaabcbbaadabaaabbbbcbbbcbaabbcbabaa\n",
            "Entropy of the alphabet =  98.78636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'aa', 3: 'd', 4: 'ab', 5: 'aac', 6: 'c', 7: 'cd', 8: 'b', 9: 'ad', 10: 'ba', 11: 'aab', 12: 'cc', 13: 'cb', 14: 'dc', 15: 'bc', 16: 'aacb', 17: 'ca', 18: 'dcc', 19: 'aaca', 20: 'aad', 21: 'ac', 22: 'aacbd', 23: 'aca', 24: 'abb', 25: 'baa', 26: 'bb', 27: 'dcd', 28: 'cbc', 29: 'bab', 30: 'aabb', 31: 'da', 32: 'dca', 33: 'aba', 34: 'abac', 35: 'aaa', 36: 'dab', 37: 'dac', 38: 'bca', 39: 'caa', 40: 'cbb', 41: 'abab', 42: 'acaa', 43: 'acb', 44: 'dabc', 45: 'babc', 46: 'bcb', 47: 'abd', 48: 'ada', 49: 'dabb', 50: 'aabc', 51: 'caac', 52: 'dcab', 53: 'abda', 54: 'bcab', 55: 'bba', 56: 'acba', 57: 'abaa', 58: 'bcbb', 59: 'aada', 60: 'baaa', 61: 'bbb', 62: 'bcbbb', 63: 'cba', 64: 'abbc', 65: 'baba', 66: 'daa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'ab': 1, 'bb': 8, 'ad': 1, 'ba': 8, 'abc': 3, 'bc': 8, 'bcc': 8, 'bba': 26, 'c': 0, 'adc': 5, 'd': 0, 'bcb': 15, 'aa': 1, 'da': 3, 'dd': 13, 'ac': 1, 'abb': 4, 'acc': 18, 'aca': 21, 'db': 13, 'cb': 6, 'aab': 2, 'acaa': 23, 'aaa': 2, 'adb': 5, 'cd': 6, 'ca': 6, 'cc': 6, 'aba': 4, 'bccc': 9, 'acb': 21, 'bcd': 8, 'abcb': 7, 'cdc': 28, 'aaab': 26, 'abd': 4, 'aac': 2, 'aaba': 24, 'acba': 43, 'aaaa': 26, 'aad': 2, 'bcbb': 46, 'abcbb': 35, 'aaaaa': 42, 'abbd': 19, 'bac': 6, 'aadd': 43, 'acbaa': 41, 'bbb': 26, 'bbac': 10, 'bd': 2, 'cac': 29, 'bbab': 10, 'abbb': 19, 'bbc': 4, 'cba': 13, 'cab': 29, 'abaa': 33, 'dad': 16, 'aaac': 26, 'abca': 7, 'abba': 19, 'cbb': 13, 'daa': 16, 'dc': 3, 'aacb': 5, 'dcc': 14, 'aaca': 5, 'aacbd': 16, 'baa': 10, 'dcd': 14, 'cbc': 13, 'bab': 10, 'aabb': 11, 'dca': 14, 'abac': 33, 'dab': 31, 'dac': 31, 'bca': 15, 'caa': 17, 'abab': 33, 'dabc': 36, 'babc': 29, 'ada': 9, 'dabb': 36, 'aabc': 11, 'caac': 39, 'dcab': 32, 'abda': 47, 'bcab': 38, 'aada': 20, 'baaa': 25, 'bcbbb': 58, 'abbc': 24, 'baba': 29}\n",
            "With LZ compression, the number of bits needed is ((NB)): 924\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  14\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  200 symbols is  bacabbbdabdbddacbaabacdaabaababcabababcbacdcbbcbaabcdadcababacabbcabadaaacbbcaababdabbbbcaabacacbbbabbbaaacbcbacbdabdaaccbdcaacdbaacababaaaaaaacbdaaaaaadaaacabaaacccadcccbbcdbabaacaabaccbbacbbbcbddcaa\n",
            "Entropy of the alphabet =  98.78636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'a', 3: 'c', 4: 'ab', 5: 'bb', 6: 'd', 7: 'abd', 8: 'bd', 9: 'da', 10: 'cb', 11: 'aa', 12: 'ba', 13: 'cd', 14: 'aab', 15: 'aaba', 16: 'bc', 17: 'aba', 18: 'bab', 19: 'cba', 20: 'cdc', 21: 'bbc', 22: 'baa', 23: 'bcd', 24: 'ad', 25: 'ca', 26: 'baba', 27: 'cab', 28: 'bca', 29: 'bad', 30: 'aaa', 31: 'cbb', 32: 'caa', 33: 'babd', 34: 'abb', 35: 'bbca', 36: 'abac', 37: 'ac', 38: 'bbb', 39: 'abbb', 40: 'aaac', 41: 'bcb', 42: 'acb', 43: 'dab', 44: 'daa', 45: 'cc', 46: 'bdc', 47: 'aac', 48: 'db', 49: 'aaca', 50: 'babaa', 51: 'aaaa', 52: 'acbd', 53: 'aaaaa', 54: 'ada', 55: 'aacab', 56: 'aaacc', 57: 'cad', 58: 'ccc', 59: 'bbcd', 60: 'babaac', 61: 'aabac', 62: 'cbba', 63: 'cbbb', 64: 'cbd', 65: 'dc', 66: 'daa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'ab': 2, 'bb': 1, 'ad': 2, 'ba': 1, 'abc': 3, 'bc': 1, 'bcc': 8, 'bba': 26, 'c': 0, 'adc': 5, 'd': 0, 'bcb': 16, 'aa': 2, 'da': 6, 'dd': 13, 'ac': 2, 'abb': 4, 'acc': 18, 'aca': 21, 'db': 6, 'cb': 3, 'aab': 11, 'acaa': 23, 'aaa': 11, 'adb': 5, 'cd': 3, 'ca': 3, 'cc': 3, 'aba': 4, 'bccc': 9, 'acb': 37, 'bcd': 16, 'abcb': 7, 'cdc': 13, 'aaab': 26, 'abd': 4, 'aac': 11, 'aaba': 14, 'acba': 43, 'aaaa': 30, 'aad': 2, 'bcbb': 46, 'abcbb': 35, 'aaaaa': 51, 'abbd': 19, 'bac': 6, 'aadd': 43, 'acbaa': 41, 'bbb': 5, 'bbac': 10, 'bd': 1, 'cac': 29, 'bbab': 10, 'abbb': 34, 'bbc': 5, 'cba': 10, 'cab': 25, 'abaa': 33, 'dad': 16, 'aaac': 30, 'abca': 7, 'abba': 19, 'cbb': 10, 'daa': 9, 'dc': 6, 'aacb': 5, 'dcc': 14, 'aaca': 47, 'aacbd': 16, 'baa': 12, 'dcd': 14, 'cbc': 13, 'bab': 12, 'aabb': 11, 'dca': 14, 'abac': 17, 'dab': 9, 'dac': 31, 'bca': 16, 'caa': 25, 'abab': 33, 'dabc': 36, 'babc': 29, 'ada': 24, 'dabb': 36, 'aabc': 11, 'caac': 39, 'dcab': 32, 'abda': 47, 'bcab': 38, 'aada': 20, 'baaa': 25, 'bcbbb': 58, 'abbc': 24, 'baba': 18, 'bad': 12, 'babd': 18, 'bbca': 21, 'bdc': 8, 'babaa': 26, 'acbd': 42, 'aacab': 49, 'aaacc': 40, 'cad': 25, 'ccc': 45, 'bbcd': 21, 'babaac': 50, 'aabac': 15, 'cbba': 31, 'cbbb': 31, 'cbd': 10}\n",
            "With LZ compression, the number of bits needed is ((NB)): 924\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  14\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  200 symbols is  accadbaaabccaadabbaaaaaababdbbaccababbaaaadaabcabccbddcbaacbacbbaaaabacabaabcadabaabaccaabacbdabbbbabdabcbabaaccacbabcabbcabdcbbcccadadcaadadcacaaaabacaabababaadbcabcacaacbbdabdbabcbcbcdbabbdbcacdbbab\n",
            "Entropy of the alphabet =  98.78636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'c', 3: 'ca', 4: 'd', 5: 'b', 6: 'aa', 7: 'ab', 8: 'cc', 9: 'aad', 10: 'abb', 11: 'aaa', 12: 'aaab', 13: 'abd', 14: 'bb', 15: 'ac', 16: 'cab', 17: 'abba', 18: 'aaad', 19: 'aab', 20: 'cabc', 21: 'cb', 22: 'dd', 23: 'cba', 24: 'acb', 25: 'acbb', 26: 'aaaa', 27: 'ba', 28: 'caba', 29: 'abc', 30: 'ad', 31: 'aba', 32: 'abac', 33: 'caa', 34: 'bac', 35: 'bd', 36: 'abbb', 37: 'bab', 38: 'da', 39: 'bc', 40: 'baba', 41: 'acc', 42: 'acba', 43: 'bca', 44: 'bbc', 45: 'abdc', 46: 'bbcc', 47: 'cad', 48: 'adc', 49: 'aada', 50: 'dc', 51: 'aca', 52: 'aaaba', 53: 'caab', 54: 'abab', 55: 'aadb', 56: 'cabca', 57: 'caac', 58: 'bbd', 59: 'abdb', 60: 'abcb', 61: 'cbc', 62: 'db', 63: 'abbd', 64: 'bcac', 65: 'dbb', 66: 'daa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'ab': 1, 'bb': 5, 'ad': 1, 'ba': 5, 'abc': 7, 'bc': 5, 'bcc': 8, 'bba': 26, 'c': 0, 'adc': 30, 'd': 0, 'bcb': 16, 'aa': 1, 'da': 4, 'dd': 4, 'ac': 1, 'abb': 7, 'acc': 15, 'aca': 15, 'db': 4, 'cb': 2, 'aab': 6, 'acaa': 23, 'aaa': 6, 'adb': 5, 'cd': 3, 'ca': 2, 'cc': 2, 'aba': 7, 'bccc': 9, 'acb': 15, 'bcd': 16, 'abcb': 29, 'cdc': 13, 'aaab': 11, 'abd': 7, 'aac': 11, 'aaba': 14, 'acba': 24, 'aaaa': 11, 'aad': 6, 'bcbb': 46, 'abcbb': 35, 'aaaaa': 51, 'abbd': 10, 'bac': 27, 'aadd': 43, 'acbaa': 41, 'bbb': 5, 'bbac': 10, 'bd': 5, 'cac': 29, 'bbab': 10, 'abbb': 10, 'bbc': 14, 'cba': 21, 'cab': 3, 'abaa': 33, 'dad': 16, 'aaac': 30, 'abca': 7, 'abba': 10, 'cbb': 10, 'daa': 9, 'dc': 4, 'aacb': 5, 'dcc': 14, 'aaca': 47, 'aacbd': 16, 'baa': 12, 'dcd': 14, 'cbc': 21, 'bab': 27, 'aabb': 11, 'dca': 14, 'abac': 31, 'dab': 9, 'dac': 31, 'bca': 39, 'caa': 3, 'abab': 31, 'dabc': 36, 'babc': 29, 'ada': 24, 'dabb': 36, 'aabc': 11, 'caac': 33, 'dcab': 32, 'abda': 47, 'bcab': 38, 'aada': 9, 'baaa': 25, 'bcbbb': 58, 'abbc': 24, 'baba': 37, 'bad': 12, 'babd': 18, 'bbca': 21, 'bdc': 8, 'babaa': 26, 'acbd': 42, 'aacab': 49, 'aaacc': 40, 'cad': 3, 'ccc': 45, 'bbcd': 21, 'babaac': 50, 'aabac': 15, 'cbba': 31, 'cbbb': 31, 'cbd': 10, 'aaad': 11, 'cabc': 16, 'acbb': 24, 'caba': 16, 'abdc': 13, 'bbcc': 44, 'aaaba': 12, 'caab': 33, 'aadb': 9, 'cabca': 20, 'bbd': 14, 'abdb': 13, 'bcac': 43, 'dbb': 62}\n",
            "With LZ compression, the number of bits needed is ((NB)): 924\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  14\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  200 symbols is  bdcabbaabaaabcbaadcbccaaaacacadabcbaacaacbaadbbbcabbabaacbbbbbcdaadccaaaacdaacbcbabbbaacbdbddaaacaaaadacbbaaccaabcdadccbcbabbbcabcdbadcbcbbbbcaacaabbaaaaaccaadcbabbbbbcadbacaabbaabbaaaacbbaaaadbcabdad\n",
            "Entropy of the alphabet =  98.78636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'd', 3: 'c', 4: 'a', 5: 'bb', 6: 'aa', 7: 'ba', 8: 'aab', 9: 'cb', 10: 'aad', 11: 'cbc', 12: 'ca', 13: 'aaa', 14: 'cac', 15: 'ad', 16: 'ab', 17: 'cba', 18: 'ac', 19: 'aac', 20: 'baa', 21: 'db', 22: 'bbc', 23: 'abb', 24: 'aba', 25: 'acb', 26: 'bbb', 27: 'bc', 28: 'da', 29: 'adc', 30: 'caa', 31: 'aacd', 32: 'aacb', 33: 'cbab', 34: 'bba', 35: 'acbd', 36: 'bd', 37: 'daa', 38: 'aca', 39: 'aaad', 40: 'acbb', 41: 'aacc', 42: 'aabc', 43: 'dad', 44: 'cc', 45: 'bcb', 46: 'abbb', 47: 'cab', 48: 'cd', 49: 'bad', 50: 'cbcb', 51: 'bbbc', 52: 'aaca', 53: 'abba', 54: 'aaaa', 55: 'cca', 56: 'adcb', 57: 'abbbb', 58: 'bca', 59: 'dba', 60: 'caab', 61: 'baab', 62: 'baaa', 63: 'acbba', 64: 'aaadb', 65: 'cabd', 66: 'daa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'ab': 4, 'bb': 1, 'ad': 4, 'ba': 1, 'abc': 7, 'bc': 1, 'bcc': 8, 'bba': 5, 'c': 0, 'adc': 15, 'd': 0, 'bcb': 27, 'aa': 4, 'da': 2, 'dd': 4, 'ac': 4, 'abb': 16, 'acc': 15, 'aca': 18, 'db': 2, 'cb': 3, 'aab': 6, 'acaa': 23, 'aaa': 6, 'adb': 5, 'cd': 3, 'ca': 3, 'cc': 3, 'aba': 16, 'bccc': 9, 'acb': 18, 'bcd': 16, 'abcb': 29, 'cdc': 13, 'aaab': 11, 'abd': 7, 'aac': 6, 'aaba': 14, 'acba': 24, 'aaaa': 13, 'aad': 6, 'bcbb': 46, 'abcbb': 35, 'aaaaa': 51, 'abbd': 10, 'bac': 27, 'aadd': 43, 'acbaa': 41, 'bbb': 5, 'bbac': 10, 'bd': 1, 'cac': 12, 'bbab': 10, 'abbb': 23, 'bbc': 5, 'cba': 9, 'cab': 12, 'abaa': 33, 'dad': 28, 'aaac': 30, 'abca': 7, 'abba': 23, 'cbb': 10, 'daa': 28, 'dc': 4, 'aacb': 19, 'dcc': 14, 'aaca': 19, 'aacbd': 16, 'baa': 7, 'dcd': 14, 'cbc': 9, 'bab': 27, 'aabb': 11, 'dca': 14, 'abac': 31, 'dab': 9, 'dac': 31, 'bca': 27, 'caa': 12, 'abab': 31, 'dabc': 36, 'babc': 29, 'ada': 24, 'dabb': 36, 'aabc': 8, 'caac': 33, 'dcab': 32, 'abda': 47, 'bcab': 38, 'aada': 9, 'baaa': 20, 'bcbbb': 58, 'abbc': 24, 'baba': 37, 'bad': 7, 'babd': 18, 'bbca': 21, 'bdc': 8, 'babaa': 26, 'acbd': 25, 'aacab': 49, 'aaacc': 40, 'cad': 3, 'ccc': 45, 'bbcd': 21, 'babaac': 50, 'aabac': 15, 'cbba': 31, 'cbbb': 31, 'cbd': 10, 'aaad': 13, 'cabc': 16, 'acbb': 25, 'caba': 16, 'abdc': 13, 'bbcc': 44, 'aaaba': 12, 'caab': 30, 'aadb': 9, 'cabca': 20, 'bbd': 14, 'abdb': 13, 'bcac': 43, 'dbb': 62, 'aacd': 19, 'cbab': 17, 'aacc': 19, 'cbcb': 11, 'bbbc': 26, 'cca': 44, 'adcb': 29, 'abbbb': 46, 'dba': 21, 'baab': 20, 'acbba': 40, 'aaadb': 39, 'cabd': 47}\n",
            "With LZ compression, the number of bits needed is ((NB)): 924\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  14\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  924.0\n",
            "The compression ratio relative to the ASCII code =  57.75 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***N = 400***"
      ],
      "metadata": {
        "id": "PcS8FjoW5I7Z"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 400\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4oHV7bY65LCE",
        "outputId": "de80426e-3886-492e-84c4-a8a9705c7a02"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  400 symbols is  cababbbaadaabdbcacbacbbbbdcabcbababcabacdacdbaacaaaccaaabcbaabccccabbaaabbacdbcaacbcbbbacabbbadabdbaccabdbacdbbcbcabacabcaabaadabbaaacababaacbddabbadaacbcbabdabaaaaaadbabcbccbcbacabccaabbbccaaabccccaaababadbdacbacdaabcbaaddccbaacdcdbbbbabaabdaaacaacaaddacabcadbadbdacabdaabbacaaaababcdcbaabacabcbaaaabdacaaaacbbabdabbdccacaaaabbcabacabbadaaaaabacccbababaabadcbabbbbbbadccaaaaaabaabbaacbbcdadbcabacbdb\n",
            "Entropy of the alphabet =  197.57272136052185 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'c', 2: 'a', 3: 'b', 4: 'ab', 5: 'bb', 6: 'aa', 7: 'd', 8: 'aab', 9: 'db', 10: 'ca', 11: 'cb', 12: 'ac', 13: 'bbb', 14: 'bd', 15: 'cab', 16: 'cba', 17: 'ba', 18: 'bc', 19: 'aba', 20: 'cd', 21: 'acd', 22: 'baa', 23: 'caa', 24: 'acc', 25: 'aaa', 26: 'bcb', 27: 'aabc', 28: 'cc', 29: 'cabb', 30: 'aaab', 31: 'bac', 32: 'dbc', 33: 'aac', 34: 'bcbb', 35: 'baca', 36: 'bbba', 37: 'da', 38: 'bdb', 39: 'acca', 40: 'bdba', 41: 'cdb', 42: 'bcbc', 43: 'abac', 44: 'abc', 45: 'aaba', 46: 'ad', 47: 'abb', 48: 'aaac', 49: 'abab', 50: 'aacb', 51: 'dd', 52: 'abba', 53: 'daa', 54: 'cbc', 55: 'bab', 56: 'dab', 57: 'aaaa', 58: 'aad', 59: 'babc', 60: 'bcc', 61: 'bcba', 62: 'cabc', 63: 'caab', 64: 'bbc', 65: 'caaa', 66: 'bccc', 67: 'caaab', 68: 'abad', 69: 'bda', 70: 'cbac', 71: 'daab', 72: 'cbaa', 73: 'ddc', 74: 'cbaac', 75: 'dc', 76: 'dbb', 77: 'bba', 78: 'baab', 79: 'daaa', 80: 'caac', 81: 'aadd', 82: 'aca', 83: 'bca', 84: 'dba', 85: 'dbd', 86: 'acab', 87: 'daabb', 88: 'acaa', 89: 'aabab', 90: 'cdc', 91: 'baaba', 92: 'cabcb', 93: 'aaaab', 94: 'dac', 95: 'aaaac', 96: 'bbab', 97: 'dabb', 98: 'dcc', 99: 'acaaa', 100: 'abbc', 101: 'abaca', 102: 'bbad', 103: 'aaaaa', 104: 'bacc', 105: 'cbab', 106: 'abaa', 107: 'bad', 108: 'cbabb', 109: 'bbbb', 110: 'adc', 111: 'caaaa', 112: 'aabaa', 113: 'bbaa', 114: 'cbb', 115: 'cda', 116: 'dbca', 117: 'bacb'}\n",
            "Encoded Packets generated: \n",
            " {'c': 0, 'a': 0, 'b': 0, 'ab': 2, 'bb': 3, 'aa': 2, 'd': 0, 'aab': 6, 'db': 7, 'ca': 1, 'cb': 1, 'ac': 2, 'bbb': 5, 'bd': 3, 'cab': 10, 'cba': 11, 'ba': 3, 'bc': 3, 'aba': 4, 'cd': 1, 'acd': 12, 'baa': 17, 'caa': 10, 'acc': 12, 'aaa': 6, 'bcb': 18, 'aabc': 8, 'cc': 1, 'cabb': 15, 'aaab': 25, 'bac': 17, 'dbc': 9, 'aac': 6, 'bcbb': 26, 'baca': 31, 'bbba': 13, 'da': 7, 'bdb': 14, 'acca': 24, 'bdba': 38, 'cdb': 20, 'bcbc': 26, 'abac': 19, 'abc': 4, 'aaba': 8, 'ad': 2, 'abb': 4, 'aaac': 25, 'abab': 19, 'aacb': 33, 'dd': 7, 'abba': 47, 'daa': 37, 'cbc': 11, 'bab': 17, 'dab': 37, 'aaaa': 25, 'aad': 6, 'babc': 55, 'bcc': 18, 'bcba': 26, 'cabc': 15, 'caab': 23, 'bbc': 5, 'caaa': 23, 'bccc': 60, 'caaab': 65, 'abad': 19, 'bda': 14, 'cbac': 16, 'daab': 53, 'cbaa': 16, 'ddc': 51, 'cbaac': 72, 'dc': 7, 'dbb': 9, 'bba': 5, 'baab': 22, 'daaa': 53, 'caac': 23, 'aadd': 58, 'aca': 12, 'bca': 18, 'dba': 9, 'dbd': 9, 'acab': 82, 'daabb': 71, 'acaa': 82, 'aabab': 45, 'cdc': 20, 'baaba': 78, 'cabcb': 62, 'aaaab': 57, 'dac': 37, 'aaaac': 57, 'bbab': 77, 'dabb': 56, 'dcc': 75, 'acaaa': 88, 'abbc': 47, 'abaca': 43, 'bbad': 77, 'aaaaa': 57, 'bacc': 31, 'cbab': 16, 'abaa': 19, 'bad': 17, 'cbabb': 105, 'bbbb': 13, 'adc': 46, 'caaaa': 65, 'aabaa': 45, 'bbaa': 77, 'cbb': 11, 'cda': 20, 'dbca': 32, 'bacb': 31}\n",
            "With LZ compression, the number of bits needed is ((NB)): 1755\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  15\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  400 symbols is  abaaaaabbaabaaaaaaabadabbabdccabdbcabcaacaabccbdaccbaacdbbdcacbbaaabaadbaabdbbaccbbbbdababaabbbabcaacbbadcabaacbabbaacabbacaaabbaaacaacaaacaaacbbaababdccadcbcaaabbabbbbaaaadaaacaccbaadadabaccacbbcaacbddabaabacbcdcbcadaacdabaacbbaadaaaacbabcbbaabaaaccabbcbaababdbdabbcabbdcaaadabcbccaacabdbbbadaabcbdaccbddbbbccababbdcbbccbccdbaaacbcaadcbbaabbdaabcbdaaabccbdddccaabaaabbbcccabcacdbcaabbcababacacaadaab\n",
            "Entropy of the alphabet =  197.57272136052185 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'aa', 4: 'aaa', 5: 'bb', 6: 'aab', 7: 'aaaa', 8: 'aaab', 9: 'ad', 10: 'ab', 11: 'ba', 12: 'bd', 13: 'c', 14: 'ca', 15: 'bdb', 16: 'cab', 17: 'caa', 18: 'caab', 19: 'cc', 20: 'bda', 21: 'ccb', 22: 'aac', 23: 'd', 24: 'bbd', 25: 'cac', 26: 'bba', 27: 'aaba', 28: 'adb', 29: 'aabd', 30: 'bbac', 31: 'cb', 32: 'bbb', 33: 'da', 34: 'bab', 35: 'aabb', 36: 'babc', 37: 'aacb', 38: 'bad', 39: 'caba', 40: 'ac', 41: 'babb', 42: 'aaca', 43: 'bbaca', 44: 'aabba', 45: 'aacaa', 46: 'caaa', 47: 'caaac', 48: 'bbaa', 49: 'babd', 50: 'cca', 51: 'dc', 52: 'bc', 53: 'aaabb', 54: 'abb', 55: 'bbaaa', 56: 'ada', 57: 'aacac', 58: 'cba', 59: 'adad', 60: 'aba', 61: 'ccac', 62: 'bbc', 63: 'aacbd', 64: 'dab', 65: 'aabac', 66: 'bcd', 67: 'cbc', 68: 'adaa', 69: 'cd', 70: 'abaa', 71: 'cbb', 72: 'aad', 73: 'aaaac', 74: 'babcb', 75: 'baa', 76: 'baaa', 77: 'ccab', 78: 'bcb', 79: 'aabab', 80: 'db', 81: 'dabb', 82: 'cabb', 83: 'dca', 84: 'aada', 85: 'bcbc', 86: 'caac', 87: 'abd', 88: 'bbba', 89: 'daa', 90: 'bcbd', 91: 'acc', 92: 'bdd', 93: 'bbbc', 94: 'cabab', 95: 'bdc', 96: 'bbcc', 97: 'bcc', 98: 'dba', 99: 'aacbc', 100: 'aadc', 101: 'bbaab', 102: 'bdaa', 103: 'bcbda', 104: 'aabc', 105: 'cbd', 106: 'dd', 107: 'ccaa', 108: 'baaab', 109: 'bbccc', 110: 'abc', 111: 'acd', 112: 'bca', 113: 'abbc', 114: 'abab', 115: 'aca', 116: 'caad', 117: 'bacb'}\n",
            "Encoded Packets generated: \n",
            " {'c': 0, 'a': 0, 'b': 0, 'ab': 1, 'bb': 2, 'aa': 1, 'd': 0, 'aab': 3, 'db': 23, 'ca': 13, 'cb': 13, 'ac': 1, 'bbb': 5, 'bd': 2, 'cab': 14, 'cba': 31, 'ba': 2, 'bc': 2, 'aba': 10, 'cd': 13, 'acd': 40, 'baa': 11, 'caa': 14, 'acc': 40, 'aaa': 3, 'bcb': 52, 'aabc': 6, 'cc': 13, 'cabb': 16, 'aaab': 4, 'bac': 17, 'dbc': 9, 'aac': 3, 'bcbb': 26, 'baca': 31, 'bbba': 32, 'da': 23, 'bdb': 12, 'acca': 24, 'bdba': 38, 'cdb': 20, 'bcbc': 78, 'abac': 19, 'abc': 10, 'aaba': 6, 'ad': 1, 'abb': 10, 'aaac': 25, 'abab': 60, 'aacb': 22, 'dd': 23, 'abba': 47, 'daa': 33, 'cbc': 31, 'bab': 11, 'dab': 33, 'aaaa': 4, 'aad': 3, 'babc': 34, 'bcc': 52, 'bcba': 26, 'cabc': 15, 'caab': 17, 'bbc': 5, 'caaa': 17, 'bccc': 60, 'caaab': 65, 'abad': 19, 'bda': 12, 'cbac': 16, 'daab': 53, 'cbaa': 16, 'ddc': 51, 'cbaac': 72, 'dc': 23, 'dbb': 9, 'bba': 5, 'baab': 22, 'daaa': 53, 'caac': 17, 'aadd': 58, 'aca': 40, 'bca': 52, 'dba': 80, 'dbd': 9, 'acab': 82, 'daabb': 71, 'acaa': 82, 'aabab': 27, 'cdc': 20, 'baaba': 78, 'cabcb': 62, 'aaaab': 57, 'dac': 37, 'aaaac': 7, 'bbab': 77, 'dabb': 64, 'dcc': 75, 'acaaa': 88, 'abbc': 54, 'abaca': 43, 'bbad': 77, 'aaaaa': 57, 'bacc': 31, 'cbab': 16, 'abaa': 60, 'bad': 11, 'cbabb': 105, 'bbbb': 13, 'adc': 46, 'caaaa': 65, 'aabaa': 45, 'bbaa': 26, 'cbb': 31, 'cda': 20, 'dbca': 32, 'bacb': 31, 'ccb': 19, 'bbd': 5, 'cac': 14, 'adb': 9, 'aabd': 6, 'bbac': 26, 'aabb': 6, 'caba': 16, 'babb': 34, 'aaca': 22, 'bbaca': 30, 'aabba': 35, 'aacaa': 42, 'caaac': 46, 'babd': 34, 'cca': 19, 'aaabb': 8, 'bbaaa': 48, 'ada': 9, 'aacac': 42, 'adad': 56, 'ccac': 50, 'aacbd': 37, 'aabac': 27, 'bcd': 52, 'adaa': 56, 'babcb': 36, 'baaa': 75, 'ccab': 50, 'dca': 51, 'aada': 72, 'abd': 10, 'bcbd': 78, 'bdd': 12, 'bbbc': 32, 'cabab': 39, 'bdc': 12, 'bbcc': 62, 'aacbc': 37, 'aadc': 72, 'bbaab': 48, 'bdaa': 20, 'bcbda': 90, 'cbd': 31, 'ccaa': 50, 'baaab': 76, 'bbccc': 96, 'caad': 17}\n",
            "With LZ compression, the number of bits needed is ((NB)): 1755\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  15\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  400 symbols is  bcaaadaaacbacacaababccabbacaacadabbbbccabbabadbabccbbadbbaabcaddaadccbabbacabaaaabbbbaacacdbacdbaabbbababacdaaadbadbaccbbbacabdabcbbcaaaabcabbbcbaddbcabbbaaabcaaaaaaacaccbaaacabcaaaaaacadabdcabbacabbdbbacaadaaaaabacacaaabbadcbbcadcbaaaabcbdaaaacdbbabcbcdbaacbbaccaabdbacabbbbbbdacaaaaccdacdadaaaaabaacbcbcbdbdaaacbbaaaacadbdacadbaaabacbccdadbccabcbcaacbbdcaabbcbbabcbaadcbbbdbccabacaccbacaabbabdabbcb\n",
            "Entropy of the alphabet =  197.57272136052185 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'c', 3: 'a', 4: 'aa', 5: 'd', 6: 'aaa', 7: 'cb', 8: 'ac', 9: 'aca', 10: 'ab', 11: 'abc', 12: 'ca', 13: 'bb', 14: 'acaa', 15: 'cad', 16: 'abb', 17: 'bbc', 18: 'cab', 19: 'ba', 20: 'bad', 21: 'bab', 22: 'cc', 23: 'bba', 24: 'db', 25: 'baa', 26: 'bc', 27: 'ad', 28: 'da', 29: 'adc', 30: 'cba', 31: 'bbac', 32: 'aba', 33: 'aaab', 34: 'bbb', 35: 'aac', 36: 'acd', 37: 'bac', 38: 'dba', 39: 'abbb', 40: 'abab', 41: 'acda', 42: 'aad', 43: 'badb', 44: 'acc', 45: 'bbba', 46: 'cabd', 47: 'abcb', 48: 'bca', 49: 'aaabc', 50: 'abbbc', 51: 'badd', 52: 'bcab', 53: 'bbaa', 54: 'abca', 55: 'aaaa', 56: 'aaca', 57: 'ccb', 58: 'aaac', 59: 'abcaa', 60: 'aaaac', 61: 'ada', 62: 'bd', 63: 'cabb', 64: 'acab', 65: 'bdb', 66: 'baca', 67: 'adaa', 68: 'aaaba', 69: 'cac', 70: 'aaabb', 71: 'adcb', 72: 'bcad', 73: 'cbaa', 74: 'aab', 75: 'cbd', 76: 'aaaacd', 77: 'bbab', 78: 'cbc', 79: 'dbaa', 80: 'cbb', 81: 'acca', 82: 'abd', 83: 'bacab', 84: 'bbbb', 85: 'bda', 86: 'caa', 87: 'aacc', 88: 'dac', 89: 'dad', 90: 'aaaaa', 91: 'baac', 92: 'bcb', 93: 'cbdb', 94: 'daa', 95: 'acb', 96: 'baaa', 97: 'acad', 98: 'bdac', 99: 'adb', 100: 'aaabac', 101: 'bcc', 102: 'dadb', 103: 'cca', 104: 'bcbc', 105: 'aacb', 106: 'bdc', 107: 'aabb', 108: 'cbba', 109: 'bcba', 110: 'adcbb', 111: 'bdbc', 112: 'caba', 113: 'cacc', 114: 'bacaa', 115: 'bbabd', 116: 'abbc', 117: 'bacb'}\n",
            "Encoded Packets generated: \n",
            " {'c': 0, 'a': 0, 'b': 0, 'ab': 3, 'bb': 1, 'aa': 3, 'd': 0, 'aab': 4, 'db': 5, 'ca': 2, 'cb': 2, 'ac': 3, 'bbb': 13, 'bd': 1, 'cab': 12, 'cba': 7, 'ba': 1, 'bc': 1, 'aba': 10, 'cd': 13, 'acd': 8, 'baa': 19, 'caa': 12, 'acc': 8, 'aaa': 4, 'bcb': 26, 'aabc': 6, 'cc': 2, 'cabb': 18, 'aaab': 6, 'bac': 19, 'dbc': 9, 'aac': 4, 'bcbb': 26, 'baca': 37, 'bbba': 34, 'da': 5, 'bdb': 62, 'acca': 44, 'bdba': 38, 'cdb': 20, 'bcbc': 92, 'abac': 19, 'abc': 10, 'aaba': 6, 'ad': 3, 'abb': 10, 'aaac': 6, 'abab': 32, 'aacb': 35, 'dd': 23, 'abba': 47, 'daa': 28, 'cbc': 7, 'bab': 19, 'dab': 33, 'aaaa': 6, 'aad': 4, 'babc': 34, 'bcc': 26, 'bcba': 92, 'cabc': 15, 'caab': 17, 'bbc': 13, 'caaa': 17, 'bccc': 60, 'caaab': 65, 'abad': 19, 'bda': 62, 'cbac': 16, 'daab': 53, 'cbaa': 30, 'ddc': 51, 'cbaac': 72, 'dc': 23, 'dbb': 9, 'bba': 13, 'baab': 22, 'daaa': 53, 'caac': 17, 'aadd': 58, 'aca': 8, 'bca': 26, 'dba': 24, 'dbd': 9, 'acab': 9, 'daabb': 71, 'acaa': 9, 'aabab': 27, 'cdc': 20, 'baaba': 78, 'cabcb': 62, 'aaaab': 57, 'dac': 28, 'aaaac': 55, 'bbab': 23, 'dabb': 64, 'dcc': 75, 'acaaa': 88, 'abbc': 16, 'abaca': 43, 'bbad': 77, 'aaaaa': 55, 'bacc': 31, 'cbab': 16, 'abaa': 60, 'bad': 19, 'cbabb': 105, 'bbbb': 34, 'adc': 27, 'caaaa': 65, 'aabaa': 45, 'bbaa': 23, 'cbb': 7, 'cda': 20, 'dbca': 32, 'bacb': 31, 'ccb': 22, 'bbd': 5, 'cac': 12, 'adb': 27, 'aabd': 6, 'bbac': 23, 'aabb': 74, 'caba': 18, 'babb': 34, 'aaca': 35, 'bbaca': 30, 'aabba': 35, 'aacaa': 42, 'caaac': 46, 'babd': 34, 'cca': 22, 'aaabb': 33, 'bbaaa': 48, 'ada': 27, 'aacac': 42, 'adad': 56, 'ccac': 50, 'aacbd': 37, 'aabac': 27, 'bcd': 52, 'adaa': 61, 'babcb': 36, 'baaa': 25, 'ccab': 50, 'dca': 51, 'aada': 72, 'abd': 10, 'bcbd': 78, 'bdd': 12, 'bbbc': 32, 'cabab': 39, 'bdc': 62, 'bbcc': 62, 'aacbc': 37, 'aadc': 72, 'bbaab': 48, 'bdaa': 20, 'bcbda': 90, 'cbd': 7, 'ccaa': 50, 'baaab': 76, 'bbccc': 96, 'caad': 17, 'cad': 12, 'abbb': 16, 'acda': 36, 'badb': 20, 'cabd': 18, 'abcb': 11, 'aaabc': 33, 'abbbc': 39, 'badd': 20, 'bcab': 48, 'abca': 11, 'abcaa': 54, 'aaaba': 33, 'adcb': 29, 'bcad': 48, 'aaaacd': 60, 'dbaa': 38, 'bacab': 66, 'aacc': 35, 'dad': 28, 'baac': 25, 'cbdb': 75, 'acb': 8, 'acad': 9, 'bdac': 85, 'aaabac': 68, 'dadb': 89, 'cbba': 80, 'adcbb': 71, 'bdbc': 65, 'cacc': 69, 'bacaa': 66, 'bbabd': 77}\n",
            "With LZ compression, the number of bits needed is ((NB)): 1755\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  15\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  400 symbols is  baaaadcbdaaabacaabacabbaacacaacaababacbcaacadbbccaadabdcbbbbacacaacabbaaacbdbdaaacdbaabcababcbbacaabcadaabbcacbbbcbbcaabcccbbbbbabbabddbcadbbaaadcbbababccaaabbbababbaaacbbadcddbccbbbaaacbabcabaaadbabbaaacbabcccabbdabcabdbccaacbaabcdcadabababbbacabadbaddaaacbbbbbaaabcbccbccdcbabdbacddbcacabdacaaaadbdaaacaddaaaaaaabaaaaaababbaaabaacaabaaaacabcaddaaacbbcacaaccccacacaabdcbbddcbcbbbcbdcaabbcacbaaaadbab\n",
            "Entropy of the alphabet =  197.57272136052185 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'a', 3: 'aa', 4: 'ad', 5: 'c', 6: 'bd', 7: 'aaa', 8: 'ba', 9: 'ca', 10: 'ab', 11: 'ac', 12: 'abb', 13: 'aac', 14: 'aca', 15: 'acaa', 16: 'bab', 17: 'acb', 18: 'caa', 19: 'cad', 20: 'bb', 21: 'cc', 22: 'aad', 23: 'abd', 24: 'cb', 25: 'bbb', 26: 'acac', 27: 'aaca', 28: 'bba', 29: 'aacb', 30: 'd', 31: 'bda', 32: 'aacd', 33: 'baa', 34: 'bc', 35: 'aba', 36: 'bcb', 37: 'bac', 38: 'aab', 39: 'cada', 40: 'abbc', 41: 'acbb', 42: 'bcbb', 43: 'caab', 44: 'ccc', 45: 'bbbb', 46: 'babb', 47: 'abdd', 48: 'bca', 49: 'db', 50: 'baaa', 51: 'dc', 52: 'bbab', 53: 'abc', 54: 'caaa', 55: 'bbba', 56: 'babba', 57: 'aacbb', 58: 'adc', 59: 'dd', 60: 'bcc', 61: 'bbbaa', 62: 'acba', 63: 'bcab', 64: 'aaad', 65: 'babbaa', 66: 'acbab', 67: 'ccca', 68: 'bbd', 69: 'abca', 70: 'bdb', 71: 'cca', 72: 'acbaa', 73: 'bcd', 74: 'cadab', 75: 'abab', 76: 'bbac', 77: 'abad', 78: 'bad', 79: 'da', 80: 'aacbbb', 81: 'bbaa', 82: 'abcb', 83: 'ccb', 84: 'ccd', 85: 'cba', 86: 'bdba', 87: 'cd', 88: 'dbc', 89: 'acab', 90: 'dac', 91: 'aaaa', 92: 'dbd', 93: 'aaac', 94: 'add', 95: 'aaaaa', 96: 'aaba', 97: 'aaaaab', 98: 'abba', 99: 'aabaa', 100: 'caaba', 101: 'aaaca', 102: 'bcad', 103: 'daa', 104: 'acbbc', 105: 'acaac', 106: 'cccac', 107: 'acaab', 108: 'dcb', 109: 'bdd', 110: 'cbc', 111: 'bbbc', 112: 'bdc', 113: 'aabb', 114: 'cac', 115: 'baaaa', 116: 'dba', 117: 'bacb'}\n",
            "Encoded Packets generated: \n",
            " {'c': 0, 'a': 0, 'b': 0, 'ab': 2, 'bb': 1, 'aa': 2, 'd': 0, 'aab': 3, 'db': 30, 'ca': 5, 'cb': 5, 'ac': 2, 'bbb': 20, 'bd': 1, 'cab': 12, 'cba': 24, 'ba': 1, 'bc': 1, 'aba': 10, 'cd': 5, 'acd': 8, 'baa': 8, 'caa': 9, 'acc': 8, 'aaa': 3, 'bcb': 34, 'aabc': 6, 'cc': 5, 'cabb': 18, 'aaab': 6, 'bac': 8, 'dbc': 49, 'aac': 3, 'bcbb': 36, 'baca': 37, 'bbba': 25, 'da': 30, 'bdb': 6, 'acca': 44, 'bdba': 70, 'cdb': 20, 'bcbc': 92, 'abac': 19, 'abc': 10, 'aaba': 38, 'ad': 2, 'abb': 10, 'aaac': 7, 'abab': 35, 'aacb': 13, 'dd': 30, 'abba': 12, 'daa': 79, 'cbc': 24, 'bab': 8, 'dab': 33, 'aaaa': 7, 'aad': 3, 'babc': 34, 'bcc': 34, 'bcba': 92, 'cabc': 15, 'caab': 18, 'bbc': 13, 'caaa': 18, 'bccc': 60, 'caaab': 65, 'abad': 35, 'bda': 6, 'cbac': 16, 'daab': 53, 'cbaa': 30, 'ddc': 51, 'cbaac': 72, 'dc': 30, 'dbb': 9, 'bba': 20, 'baab': 22, 'daaa': 53, 'caac': 17, 'aadd': 58, 'aca': 11, 'bca': 34, 'dba': 49, 'dbd': 49, 'acab': 14, 'daabb': 71, 'acaa': 14, 'aabab': 27, 'cdc': 20, 'baaba': 78, 'cabcb': 62, 'aaaab': 57, 'dac': 79, 'aaaac': 55, 'bbab': 28, 'dabb': 64, 'dcc': 75, 'acaaa': 88, 'abbc': 12, 'abaca': 43, 'bbad': 77, 'aaaaa': 91, 'bacc': 31, 'cbab': 16, 'abaa': 60, 'bad': 8, 'cbabb': 105, 'bbbb': 25, 'adc': 4, 'caaaa': 65, 'aabaa': 96, 'bbaa': 28, 'cbb': 7, 'cda': 20, 'dbca': 32, 'bacb': 31, 'ccb': 21, 'bbd': 20, 'cac': 9, 'adb': 27, 'aabd': 6, 'bbac': 28, 'aabb': 38, 'caba': 18, 'babb': 16, 'aaca': 13, 'bbaca': 30, 'aabba': 35, 'aacaa': 42, 'caaac': 46, 'babd': 34, 'cca': 21, 'aaabb': 33, 'bbaaa': 48, 'ada': 27, 'aacac': 42, 'adad': 56, 'ccac': 50, 'aacbd': 37, 'aabac': 27, 'bcd': 34, 'adaa': 61, 'babcb': 36, 'baaa': 33, 'ccab': 50, 'dca': 51, 'aada': 72, 'abd': 10, 'bcbd': 78, 'bdd': 6, 'bbbc': 25, 'cabab': 39, 'bdc': 6, 'bbcc': 62, 'aacbc': 37, 'aadc': 72, 'bbaab': 48, 'bdaa': 20, 'bcbda': 90, 'cbd': 7, 'ccaa': 50, 'baaab': 76, 'bbccc': 96, 'caad': 17, 'cad': 9, 'abbb': 16, 'acda': 36, 'badb': 20, 'cabd': 18, 'abcb': 53, 'aaabc': 33, 'abbbc': 39, 'badd': 20, 'bcab': 48, 'abca': 53, 'abcaa': 54, 'aaaba': 33, 'adcb': 29, 'bcad': 48, 'aaaacd': 60, 'dbaa': 38, 'bacab': 66, 'aacc': 35, 'dad': 28, 'baac': 25, 'cbdb': 75, 'acb': 11, 'acad': 9, 'bdac': 85, 'aaabac': 68, 'dadb': 89, 'cbba': 80, 'adcbb': 71, 'bdbc': 65, 'cacc': 69, 'bacaa': 66, 'bbabd': 77, 'acac': 14, 'aacd': 13, 'cada': 19, 'acbb': 17, 'ccc': 21, 'abdd': 23, 'babba': 46, 'aacbb': 29, 'bbbaa': 55, 'acba': 17, 'aaad': 7, 'babbaa': 56, 'acbab': 62, 'ccca': 44, 'acbaa': 62, 'cadab': 39, 'aacbbb': 57, 'ccd': 21, 'add': 4, 'aaaaab': 95, 'caaba': 43, 'aaaca': 93, 'acbbc': 41, 'acaac': 15, 'cccac': 67, 'acaab': 15, 'dcb': 51, 'baaaa': 50}\n",
            "With LZ compression, the number of bits needed is ((NB)): 1755\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  15\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  400 symbols is  aababbcaaaacacaddcabccbbccacbbaabcdbdbcaacbaabacdabcacccbbacaacadbacabcbaaaadbdbabbabdaabbcbabbacaababaabacaaabbcbdcaccacacbcacbabbbabbdbbbababbcccacabbbdbbabbaaaaabadcaccadabacbcabddabdbaacaabbbcbcccadaaccdabcbaccbbaababcdacbabacdccbddaccaccbaacaaaddabaaaaabbbabdababbabaaaaadaacbbaaabadbaaaabbcacdcaacaaaabbbadabaabbababaabbabcaccadcabaacaababbaabdaddbbbacdaaabcbcddbaaccbacaabcabbabaaabbddcdcabaaa\n",
            "Entropy of the alphabet =  197.57272136052185 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'ab', 3: 'abb', 4: 'c', 5: 'aa', 6: 'aac', 7: 'ac', 8: 'ad', 9: 'd', 10: 'ca', 11: 'b', 12: 'cc', 13: 'bb', 14: 'cca', 15: 'cb', 16: 'ba', 17: 'abc', 18: 'db', 19: 'dbc', 20: 'aacb', 21: 'aab', 22: 'acd', 23: 'abca', 24: 'ccc', 25: 'bba', 26: 'caa', 27: 'cad', 28: 'bac', 29: 'abcb', 30: 'aaa', 31: 'adb', 32: 'dba', 33: 'bbab', 34: 'da', 35: 'abbc', 36: 'bab', 37: 'baca', 38: 'aba', 39: 'baa', 40: 'bacaa', 41: 'abbcb', 42: 'dc', 43: 'acc', 44: 'aca', 45: 'cbc', 46: 'acb', 47: 'abbb', 48: 'abbd', 49: 'bbb', 50: 'abab', 51: 'bc', 52: 'ccac', 53: 'abbbd', 54: 'bbabb', 55: 'aaaa', 56: 'abad', 57: 'cac', 58: 'cada', 59: 'bacb', 60: 'cab', 61: 'dd', 62: 'abd', 63: 'baac', 64: 'aabb', 65: 'bcb', 66: 'ccca', 67: 'daa', 68: 'ccd', 69: 'abcba', 70: 'ccb', 71: 'baab', 72: 'abcd', 73: 'acba', 74: 'bacd', 75: 'ccbd', 76: 'dac', 77: 'cacc', 78: 'baaca', 79: 'aad', 80: 'dab', 81: 'aaaaa', 82: 'bbba', 83: 'bd', 84: 'ababb', 85: 'abaa', 86: 'aaad', 87: 'aacbb', 88: 'aaab', 89: 'adba', 90: 'aaabb', 91: 'cacd', 92: 'caac', 93: 'aaaab', 94: 'bbad', 95: 'abaab', 96: 'baba', 97: 'baabb', 98: 'abcac', 99: 'cadc', 100: 'abaac', 101: 'aaba', 102: 'bbaa', 103: 'bda', 104: 'ddb', 105: 'bbac', 106: 'daaa', 107: 'bcbc', 108: 'ddba', 109: 'accb', 110: 'acaa', 111: 'bca', 112: 'bbaba', 113: 'aabbd', 114: 'dcd', 115: 'caba', 116: 'dba', 117: 'bacb'}\n",
            "Encoded Packets generated: \n",
            " {'c': 0, 'a': 0, 'b': 0, 'ab': 1, 'bb': 11, 'aa': 1, 'd': 0, 'aab': 5, 'db': 9, 'ca': 4, 'cb': 4, 'ac': 1, 'bbb': 13, 'bd': 11, 'cab': 10, 'cba': 24, 'ba': 11, 'bc': 11, 'aba': 2, 'cd': 5, 'acd': 7, 'baa': 16, 'caa': 10, 'acc': 7, 'aaa': 5, 'bcb': 51, 'aabc': 6, 'cc': 4, 'cabb': 18, 'aaab': 30, 'bac': 16, 'dbc': 18, 'aac': 5, 'bcbb': 36, 'baca': 28, 'bbba': 49, 'da': 9, 'bdb': 6, 'acca': 44, 'bdba': 70, 'cdb': 20, 'bcbc': 65, 'abac': 19, 'abc': 2, 'aaba': 21, 'ad': 1, 'abb': 2, 'aaac': 7, 'abab': 38, 'aacb': 6, 'dd': 9, 'abba': 12, 'daa': 34, 'cbc': 15, 'bab': 16, 'dab': 34, 'aaaa': 30, 'aad': 5, 'babc': 34, 'bcc': 34, 'bcba': 92, 'cabc': 15, 'caab': 18, 'bbc': 13, 'caaa': 18, 'bccc': 60, 'caaab': 65, 'abad': 38, 'bda': 83, 'cbac': 16, 'daab': 53, 'cbaa': 30, 'ddc': 51, 'cbaac': 72, 'dc': 9, 'dbb': 9, 'bba': 13, 'baab': 39, 'daaa': 67, 'caac': 26, 'aadd': 58, 'aca': 7, 'bca': 51, 'dba': 18, 'dbd': 49, 'acab': 14, 'daabb': 71, 'acaa': 44, 'aabab': 27, 'cdc': 20, 'baaba': 78, 'cabcb': 62, 'aaaab': 55, 'dac': 34, 'aaaac': 55, 'bbab': 25, 'dabb': 64, 'dcc': 75, 'acaaa': 88, 'abbc': 3, 'abaca': 43, 'bbad': 25, 'aaaaa': 55, 'bacc': 31, 'cbab': 16, 'abaa': 38, 'bad': 8, 'cbabb': 105, 'bbbb': 25, 'adc': 4, 'caaaa': 65, 'aabaa': 96, 'bbaa': 25, 'cbb': 7, 'cda': 20, 'dbca': 32, 'bacb': 28, 'ccb': 12, 'bbd': 20, 'cac': 10, 'adb': 8, 'aabd': 6, 'bbac': 25, 'aabb': 21, 'caba': 60, 'babb': 16, 'aaca': 13, 'bbaca': 30, 'aabba': 35, 'aacaa': 42, 'caaac': 46, 'babd': 34, 'cca': 12, 'aaabb': 88, 'bbaaa': 48, 'ada': 27, 'aacac': 42, 'adad': 56, 'ccac': 14, 'aacbd': 37, 'aabac': 27, 'bcd': 34, 'adaa': 61, 'babcb': 36, 'baaa': 33, 'ccab': 50, 'dca': 51, 'aada': 72, 'abd': 2, 'bcbd': 78, 'bdd': 6, 'bbbc': 25, 'cabab': 39, 'bdc': 6, 'bbcc': 62, 'aacbc': 37, 'aadc': 72, 'bbaab': 48, 'bdaa': 20, 'bcbda': 90, 'cbd': 7, 'ccaa': 50, 'baaab': 76, 'bbccc': 96, 'caad': 17, 'cad': 10, 'abbb': 3, 'acda': 36, 'badb': 20, 'cabd': 18, 'abcb': 17, 'aaabc': 33, 'abbbc': 39, 'badd': 20, 'bcab': 48, 'abca': 17, 'abcaa': 54, 'aaaba': 33, 'adcb': 29, 'bcad': 48, 'aaaacd': 60, 'dbaa': 38, 'bacab': 66, 'aacc': 35, 'dad': 28, 'baac': 39, 'cbdb': 75, 'acb': 7, 'acad': 9, 'bdac': 85, 'aaabac': 68, 'dadb': 89, 'cbba': 80, 'adcbb': 71, 'bdbc': 65, 'cacc': 57, 'bacaa': 37, 'bbabd': 77, 'acac': 14, 'aacd': 13, 'cada': 27, 'acbb': 17, 'ccc': 12, 'abdd': 23, 'babba': 46, 'aacbb': 20, 'bbbaa': 55, 'acba': 46, 'aaad': 30, 'babbaa': 56, 'acbab': 62, 'ccca': 24, 'acbaa': 62, 'cadab': 39, 'aacbbb': 57, 'ccd': 12, 'add': 4, 'aaaaab': 95, 'caaba': 43, 'aaaca': 93, 'acbbc': 41, 'acaac': 15, 'cccac': 67, 'acaab': 15, 'dcb': 51, 'baaaa': 50, 'abbcb': 35, 'abbd': 3, 'abbbd': 47, 'bbabb': 33, 'abcba': 29, 'abcd': 17, 'bacd': 28, 'ccbd': 70, 'baaca': 63, 'ababb': 50, 'adba': 31, 'cacd': 57, 'abaab': 85, 'baba': 36, 'baabb': 71, 'abcac': 23, 'cadc': 27, 'abaac': 85, 'ddb': 61, 'ddba': 104, 'accb': 43, 'bbaba': 33, 'aabbd': 64, 'dcd': 42}\n",
            "With LZ compression, the number of bits needed is ((NB)): 1755\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  15\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  1755.0\n",
            "The compression ratio relative to the ASCII code =  54.84375 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***N = 800***"
      ],
      "metadata": {
        "id": "Dgc8gUcX5OOp"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 800\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iWg3oXk35QSj",
        "outputId": "0804cd9a-3073-417d-e8bf-ccf89dbed76c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  800 symbols is  aabbabbaabacadaacbacbcaacaaabbcbaccacbbccbbabcaaaccaaaaabaabcbbbbabbcacadcabbdcbbdccaccbdaacadbbbbdababdacbabdabaaabbcacbabbaadbaabaaacbccadaacdbabaacaabbbaabbdbdaadabbbaaabbbacababccbbbdbaababbdabadaaaccdadbababcbacbaaabcdcbcbacaccbcaabbabbaaacadaabaababbcaacbbdaabdaabaadaaaccacabaaabacadabcbacbbdcaadaaadabcccaabaaacdaaaaaacbccacdcaaacababaabbbcaacdacbcbaccbbaaaabdaacbabcdacadaaaadbbbdabacacababbccccadababacaaabdabdaaabacdcbdbbabaaadcdadcabadbaaaaababaaccacacaababddabbbcbabbcacabacacabacccbaaadabbcacbbacbabacbbcacabcbdcacbbacababacaabdbdbbbcbbababaaaadbaaadbdbaabdaabbacbbcddbabadccccbababbcaaadcccdbcbbaddbabcbabcabbbbaaccbaabbbbabdacddbbadbbacaccbaababaacabbcbacaaaacbbccabacbaabcbabbaaaaabaaabbcbaacccddaaacaadbbcacdcbbaaaaaadbaacadcbbdbcbcbacaabdaabbaaaacaacabddcdabccdbdbabcababcabbacacca\n",
            "Entropy of the alphabet =  395.1454427210437 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'ab', 3: 'b', 4: 'abb', 5: 'aa', 6: 'ba', 7: 'c', 8: 'ad', 9: 'aac', 10: 'bac', 11: 'bc', 12: 'aaca', 13: 'aab', 14: 'bcb', 15: 'ac', 16: 'ca', 17: 'cb', 18: 'bcc', 19: 'bb', 20: 'abc', 21: 'aaa', 22: 'cc', 23: 'aaaa', 24: 'aba', 25: 'abcb', 26: 'bbb', 27: 'abbc', 28: 'aca', 29: 'd', 30: 'cab', 31: 'bd', 32: 'cbb', 33: 'dc', 34: 'cac', 35: 'cbd', 36: 'aacad', 37: 'bbbb', 38: 'da', 39: 'bab', 40: 'dac', 41: 'babd', 42: 'abaa', 43: 'abbca', 44: 'cba', 45: 'bba', 46: 'adb', 47: 'aaba', 48: 'aacb', 49: 'cca', 50: 'daa', 51: 'cd', 52: 'baba', 53: 'acaa', 54: 'bbba', 55: 'abbd', 56: 'bda', 57: 'ada', 58: 'bbbaa', 59: 'abbb', 60: 'acab', 61: 'abcc', 62: 'bbbd', 63: 'baa', 64: 'babb', 65: 'dab', 66: 'adaa', 67: 'acc', 68: 'dad', 69: 'babab', 70: 'cbac', 71: 'baaa', 72: 'bcd', 73: 'cbc', 74: 'baca', 75: 'ccb', 76: 'caa', 77: 'bbab', 78: 'baaac', 79: 'adaab', 80: 'aabab', 81: 'bca', 82: 'acb', 83: 'bdaa', 84: 'bdaab', 85: 'aad', 86: 'aaac', 87: 'caca', 88: 'baaab', 89: 'acad', 90: 'abcba', 91: 'cbbd', 92: 'caad', 93: 'aaad', 94: 'abccc', 95: 'aabaa', 96: 'acd', 97: 'aaaaa', 98: 'acbc', 99: 'cacd', 100: 'caaa', 101: 'caba', 102: 'baab', 103: 'bbc', 104: 'aacd', 105: 'acbcb', 106: 'accb', 107: 'baaaa', 108: 'bdaac', 109: 'babc', 110: 'daca', 111: 'daaa', 112: 'adbb', 113: 'bdab', 114: 'acac', 115: 'abab', 116: 'bccc', 117: 'cad', 118: 'ababa', 119: 'caaab', 120: 'dabd', 121: 'aaab', 122: 'acdc', 123: 'bdb', 124: 'babaa', 125: 'adc', 126: 'dadc', 127: 'abad', 128: 'baaaaa', 129: 'babaac', 130: 'cacac', 131: 'aababd', 132: 'dabb', 133: 'bcba', 134: 'bbca', 135: 'cabac', 136: 'acaba', 137: 'ccc', 138: 'baaad', 139: 'abbcac', 140: 'bbac', 141: 'babac', 142: 'bbcac', 143: 'abcbd', 144: 'cacb', 145: 'bacab', 146: 'abac', 147: 'aabd', 148: 'bdbb', 149: 'bcbb', 150: 'ababaa', 151: 'aadb', 152: 'aaadb', 153: 'db', 154: 'aabda', 155: 'abba', 156: 'cbbc', 157: 'dd', 158: 'babad', 159: 'cccc', 160: 'bababb', 161: 'caaad', 162: 'cccd', 163: 'bcbba', 164: 'ddb', 165: 'abcbab', 166: 'cabb', 167: 'bbaa', 168: 'ccba', 169: 'abbbb', 170: 'abd', 171: 'acdd', 172: 'bbad', 173: 'bbaca', 174: 'ccbaa', 175: 'babaaca', 176: 'bbcb', 177: 'acaaa', 178: 'acbb', 179: 'ccab', 180: 'acba', 181: 'abcbabb', 182: 'aaaaab', 183: 'aaabb', 184: 'cbaa', 185: 'cccdd', 186: 'aaaca', 187: 'adbbc', 188: 'acdcb', 189: 'baaaaaa', 190: 'dba', 191: 'acadc', 192: 'bbd', 193: 'bcbc', 194: 'bacaa', 195: 'bdaabb', 196: 'aaaac', 197: 'aacab', 198: 'ddc', 199: 'dabc', 200: 'cdb', 201: 'dbab', 202: 'cabab', 203: 'cabba', 204: 'cacc'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'ab': 1, 'b': 0, 'abb': 2, 'aa': 1, 'ba': 3, 'c': 0, 'ad': 1, 'aac': 5, 'bac': 6, 'bc': 3, 'aaca': 9, 'aab': 5, 'bcb': 11, 'ac': 1, 'ca': 7, 'cb': 7, 'bcc': 11, 'bb': 3, 'abc': 2, 'aaa': 5, 'cc': 7, 'aaaa': 21, 'aba': 2, 'abcb': 20, 'bbb': 19, 'abbc': 4, 'aca': 15, 'd': 0, 'cab': 16, 'bd': 3, 'cbb': 17, 'dc': 29, 'cac': 16, 'cbd': 17, 'aacad': 12, 'bbbb': 26, 'da': 29, 'bab': 6, 'dac': 38, 'babd': 39, 'abaa': 24, 'abbca': 27, 'cba': 17, 'bba': 19, 'adb': 8, 'aaba': 13, 'aacb': 9, 'cca': 22, 'daa': 38, 'cd': 7, 'baba': 39, 'acaa': 28, 'bbba': 26, 'abbd': 4, 'bda': 31, 'ada': 8, 'bbbaa': 54, 'abbb': 4, 'acab': 28, 'abcc': 20, 'bbbd': 26, 'baa': 6, 'babb': 39, 'dab': 38, 'adaa': 57, 'acc': 15, 'dad': 38, 'babab': 52, 'cbac': 44, 'baaa': 63, 'bcd': 11, 'cbc': 17, 'baca': 10, 'ccb': 22, 'caa': 16, 'bbab': 45, 'baaac': 71, 'adaab': 66, 'aabab': 47, 'bca': 11, 'acb': 15, 'bdaa': 56, 'bdaab': 83, 'aad': 5, 'aaac': 21, 'caca': 34, 'baaab': 71, 'acad': 28, 'abcba': 25, 'cbbd': 32, 'caad': 76, 'aaad': 21, 'abccc': 61, 'aabaa': 47, 'acd': 15, 'aaaaa': 23, 'acbc': 82, 'cacd': 34, 'caaa': 76, 'caba': 30, 'baab': 63, 'bbc': 19, 'aacd': 9, 'acbcb': 98, 'accb': 67, 'baaaa': 71, 'bdaac': 83, 'babc': 39, 'daca': 40, 'daaa': 50, 'adbb': 46, 'bdab': 56, 'acac': 28, 'abab': 24, 'bccc': 18, 'cad': 16, 'ababa': 115, 'caaab': 100, 'dabd': 65, 'aaab': 21, 'acdc': 96, 'bdb': 31, 'babaa': 52, 'adc': 8, 'dadc': 68, 'abad': 24, 'baaaaa': 107, 'babaac': 124, 'cacac': 87, 'aababd': 80, 'dabb': 65, 'bcba': 14, 'bbca': 103, 'cabac': 101, 'acaba': 60, 'ccc': 22, 'baaad': 71, 'abbcac': 43, 'bbac': 45, 'babac': 52, 'bbcac': 134, 'abcbd': 25, 'cacb': 34, 'bacab': 74, 'abac': 24, 'aabd': 13, 'bdbb': 123, 'bcbb': 14, 'ababaa': 118, 'aadb': 85, 'aaadb': 93, 'db': 29, 'aabda': 147, 'abba': 4, 'cbbc': 32, 'dd': 29, 'babad': 52, 'cccc': 137, 'bababb': 69, 'caaad': 100, 'cccd': 137, 'bcbba': 149, 'ddb': 157, 'abcbab': 90, 'cabb': 30, 'bbaa': 45, 'ccba': 75, 'abbbb': 59, 'abd': 2, 'acdd': 96, 'bbad': 45, 'bbaca': 140, 'ccbaa': 168, 'babaaca': 129, 'bbcb': 103, 'acaaa': 53, 'acbb': 82, 'ccab': 49, 'acba': 82, 'abcbabb': 165, 'aaaaab': 97, 'aaabb': 121, 'cbaa': 44, 'cccdd': 162, 'aaaca': 86, 'adbbc': 112, 'acdcb': 122, 'baaaaaa': 128, 'dba': 153, 'acadc': 89, 'bbd': 19, 'bcbc': 14, 'bacaa': 74, 'bdaabb': 84, 'aaaac': 23, 'aacab': 12, 'ddc': 157, 'dabc': 65, 'cdb': 51, 'dbab': 190, 'cabab': 101, 'cabba': 166, 'cacc': 34}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3264\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  800 symbols is  cbaacbaaacbcaccbcdadaacbccccdbabacaabdabaacccbadbadbbbbbcbababaadcbaabccdbbabacbaaacbbccbbcbbbdaaccdadabcbcbdbbdbabaabcacbadabacbbaabcacaabcababdabcbcbcaadabadbdbcdacacaccdaadadacaacbbcbcaabbcabacabaaabccaaabdaacaaaccbcbaacccadcbbdaaaabdcbaacaaaabcaabababcbaabaabbcaaaabcadcadaabbbbbacadbbaccbbbcbabbaacadaccabaabaabaacddbdabbabadaaccabbcadaababaabbaaaaabdcdabbabbccaccabadcabdadaabaadcbbaaccacacaadabcbcaaaaabaabbbbcbaacbccbdbdaccaabaaaabbcabdcabbaaaababccbbaaaaacbbdaacdaaabdbbacdcabbbcaaadbacabbdabbbdabaabaaaacbabaacaabaabdbcaaadadccaadcabacaaabaacaacbbbaaaaaaababcccdcadbbbaccbaaabbabaaaabbabaabaaabaacbdcbccbabbabddcaaabbabdaaadcbbbdabbaadabccbccadbabbbaadcbbaccdbdbabbcacbdccbabbcbdbacbaabcbbaaaabbcbabcdbababdaaaabaaacacbbcdabababaaabccdaaabbcbcdaabbaacbdbadcbcccaaaabaddccabacaacbaabbcabaaba\n",
            "Entropy of the alphabet =  395.1454427210437 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'c', 2: 'b', 3: 'a', 4: 'ac', 5: 'ba', 6: 'aa', 7: 'cb', 8: 'ca', 9: 'cc', 10: 'bc', 11: 'd', 12: 'ad', 13: 'aac', 14: 'bcc', 15: 'ccd', 16: 'bab', 17: 'aca', 18: 'ab', 19: 'da', 20: 'baa', 21: 'ccc', 22: 'bad', 23: 'badb', 24: 'bb', 25: 'bbc', 26: 'baba', 27: 'baad', 28: 'cba', 29: 'abc', 30: 'cd', 31: 'bba', 32: 'bac', 33: 'baaa', 34: 'cbb', 35: 'ccb', 36: 'bcb', 37: 'bbd', 38: 'aacc', 39: 'dad', 40: 'abcb', 41: 'cbd', 42: 'bbdb', 43: 'aba', 44: 'abca', 45: 'cbad', 46: 'abac', 47: 'bbaa', 48: 'bca', 49: 'caa', 50: 'bcab', 51: 'abd', 52: 'abcbc', 53: 'bcaa', 54: 'dab', 55: 'adb', 56: 'db', 57: 'cda', 58: 'cac', 59: 'acc', 60: 'daa', 61: 'dada', 62: 'caac', 63: 'bbcb', 64: 'caab', 65: 'bcaba', 66: 'cab', 67: 'aaa', 68: 'bcca', 69: 'aab', 70: 'daac', 71: 'aaac', 72: 'cbc', 73: 'baac', 74: 'cca', 75: 'dc', 76: 'bbda', 77: 'aaab', 78: 'dcb', 79: 'aaca', 80: 'aaabc', 81: 'aaba', 82: 'babc', 83: 'baab', 84: 'aabb', 85: 'caaa', 86: 'abcad', 87: 'cad', 88: 'aabbb', 89: 'bbac', 90: 'adbb', 91: 'accb', 92: 'bbcba', 93: 'bbaac', 94: 'ada', 95: 'ccab', 96: 'aabaa', 97: 'baacd', 98: 'dbd', 99: 'abb', 100: 'abad', 101: 'aacca', 102: 'bbca', 103: 'daab', 104: 'abaa', 105: 'bbaaa', 106: 'aabd', 107: 'cdab', 108: 'babb', 109: 'ccac', 110: 'caba', 111: 'dca', 112: 'bd', 113: 'adaa', 114: 'baadc', 115: 'bbaacc', 116: 'acac', 117: 'aad', 118: 'abcbca', 119: 'aaaa', 120: 'baabb', 121: 'bbcbaa', 122: 'cbcc', 123: 'bdb', 124: 'dac', 125: 'caaba', 126: 'aaabb', 127: 'cabd', 128: 'cabb', 129: 'aaaab', 130: 'abcc', 131: 'bbaaaa', 132: 'acb', 133: 'bda', 134: 'acd', 135: 'aaabd', 136: 'bbacd', 137: 'cabbb', 138: 'caaad', 139: 'baca', 140: 'bbdab', 141: 'bbdaba', 142: 'abaaa', 143: 'acba', 144: 'baaca', 145: 'abaab', 146: 'dbc', 147: 'aaad', 148: 'adc', 149: 'caad', 150: 'cabac', 151: 'aaaba', 152: 'acaa', 153: 'cbbb', 154: 'aaaaa', 155: 'aabab', 156: 'cccd', 157: 'cadb', 158: 'bbacc', 159: 'baaab', 160: 'babaa', 161: 'aabba', 162: 'baaba', 163: 'aabaac', 164: 'bdc', 165: 'bccb', 166: 'abba', 167: 'bdd', 168: 'caaab', 169: 'babd', 170: 'aaadc', 171: 'bbb', 172: 'dabb', 173: 'aada', 174: 'bccbc', 175: 'cadba', 176: 'bbba', 177: 'adcb', 178: 'bacc', 179: 'dbdb', 180: 'abbc', 181: 'acbd', 182: 'ccba', 183: 'bbcbd', 184: 'bacb', 185: 'aabc', 186: 'bbaaaab', 187: 'bcba', 188: 'bcd', 189: 'babab', 190: 'daaa', 191: 'abaaac', 192: 'acbb', 193: 'cdaba', 194: 'babaaa', 195: 'bccd', 196: 'aaabbc', 197: 'bcda', 198: 'abbaa', 199: 'cbdb', 200: 'adcbc', 201: 'ccaa', 202: 'aabad', 203: 'dcc', 204: 'abaca', 205: 'acbaa', 206: 'bbcab'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'ab': 3, 'b': 0, 'abb': 18, 'aa': 3, 'ba': 2, 'c': 0, 'ad': 3, 'aac': 6, 'bac': 5, 'bc': 2, 'aaca': 13, 'aab': 6, 'bcb': 10, 'ac': 3, 'ca': 1, 'cb': 1, 'bcc': 10, 'bb': 2, 'abc': 18, 'aaa': 6, 'cc': 1, 'aaaa': 67, 'aba': 18, 'abcb': 29, 'bbb': 24, 'abbc': 99, 'aca': 4, 'd': 0, 'cab': 8, 'bd': 2, 'cbb': 7, 'dc': 11, 'cac': 8, 'cbd': 7, 'aacad': 12, 'bbbb': 26, 'da': 11, 'bab': 5, 'dac': 19, 'babd': 16, 'abaa': 43, 'abbca': 27, 'cba': 7, 'bba': 24, 'adb': 12, 'aaba': 69, 'aacb': 9, 'cca': 9, 'daa': 19, 'cd': 1, 'baba': 16, 'acaa': 17, 'bbba': 171, 'abbd': 4, 'bda': 112, 'ada': 12, 'bbbaa': 54, 'abbb': 4, 'acab': 28, 'abcc': 29, 'bbbd': 26, 'baa': 5, 'babb': 16, 'dab': 19, 'adaa': 94, 'acc': 4, 'dad': 19, 'babab': 26, 'cbac': 44, 'baaa': 20, 'bcd': 10, 'cbc': 7, 'baca': 32, 'ccb': 9, 'caa': 8, 'bbab': 45, 'baaac': 71, 'adaab': 66, 'aabab': 81, 'bca': 10, 'acb': 4, 'bdaa': 56, 'bdaab': 83, 'aad': 6, 'aaac': 67, 'caca': 34, 'baaab': 33, 'acad': 28, 'abcba': 25, 'cbbd': 32, 'caad': 49, 'aaad': 67, 'abccc': 61, 'aabaa': 81, 'acd': 4, 'aaaaa': 119, 'acbc': 82, 'cacd': 34, 'caaa': 49, 'caba': 66, 'baab': 20, 'bbc': 24, 'aacd': 9, 'acbcb': 98, 'accb': 59, 'baaaa': 71, 'bdaac': 83, 'babc': 16, 'daca': 40, 'daaa': 60, 'adbb': 55, 'bdab': 56, 'acac': 17, 'abab': 24, 'bccc': 18, 'cad': 8, 'ababa': 115, 'caaab': 85, 'dabd': 65, 'aaab': 67, 'acdc': 96, 'bdb': 112, 'babaa': 26, 'adc': 12, 'dadc': 68, 'abad': 43, 'baaaaa': 107, 'babaac': 124, 'cacac': 87, 'aababd': 80, 'dabb': 54, 'bcba': 36, 'bbca': 25, 'cabac': 110, 'acaba': 60, 'ccc': 9, 'baaad': 71, 'abbcac': 43, 'bbac': 31, 'babac': 52, 'bbcac': 134, 'abcbd': 25, 'cacb': 34, 'bacab': 74, 'abac': 43, 'aabd': 69, 'bdbb': 123, 'bcbb': 14, 'ababaa': 118, 'aadb': 85, 'aaadb': 93, 'db': 11, 'aabda': 147, 'abba': 99, 'cbbc': 32, 'dd': 29, 'babad': 52, 'cccc': 137, 'bababb': 69, 'caaad': 85, 'cccd': 21, 'bcbba': 149, 'ddb': 157, 'abcbab': 90, 'cabb': 66, 'bbaa': 31, 'ccba': 35, 'abbbb': 59, 'abd': 18, 'acdd': 96, 'bbad': 45, 'bbaca': 140, 'ccbaa': 168, 'babaaca': 129, 'bbcb': 25, 'acaaa': 53, 'acbb': 132, 'ccab': 74, 'acba': 132, 'abcbabb': 165, 'aaaaab': 97, 'aaabb': 77, 'cbaa': 44, 'cccdd': 162, 'aaaca': 86, 'adbbc': 112, 'acdcb': 122, 'baaaaaa': 128, 'dba': 153, 'acadc': 89, 'bbd': 24, 'bcbc': 14, 'bacaa': 74, 'bdaabb': 84, 'aaaac': 23, 'aacab': 12, 'ddc': 157, 'dabc': 65, 'cdb': 51, 'dbab': 190, 'cabab': 101, 'cabba': 166, 'cacc': 34, 'ccd': 9, 'bad': 5, 'badb': 22, 'baad': 20, 'aacc': 13, 'bbdb': 37, 'abca': 29, 'cbad': 28, 'bcab': 48, 'abcbc': 40, 'bcaa': 48, 'cda': 30, 'dada': 39, 'caac': 49, 'caab': 49, 'bcaba': 50, 'bcca': 14, 'daac': 60, 'baac': 20, 'bbda': 37, 'dcb': 75, 'aaabc': 77, 'aabb': 69, 'abcad': 44, 'aabbb': 84, 'bbcba': 63, 'bbaac': 47, 'baacd': 73, 'dbd': 56, 'aacca': 38, 'daab': 60, 'bbaaa': 47, 'cdab': 57, 'ccac': 74, 'dca': 75, 'baadc': 27, 'bbaacc': 93, 'abcbca': 52, 'baabb': 83, 'bbcbaa': 92, 'cbcc': 72, 'caaba': 64, 'cabd': 66, 'aaaab': 119, 'bbaaaa': 105, 'aaabd': 77, 'bbacd': 89, 'cabbb': 128, 'bbdab': 76, 'bbdaba': 140, 'abaaa': 104, 'baaca': 73, 'abaab': 104, 'dbc': 56, 'aaaba': 77, 'cbbb': 34, 'cadb': 87, 'bbacc': 89, 'aabba': 84, 'baaba': 83, 'aabaac': 96, 'bdc': 112, 'bccb': 14, 'bdd': 112, 'aaadc': 147, 'aada': 117, 'bccbc': 165, 'cadba': 157, 'adcb': 148, 'bacc': 32, 'dbdb': 98, 'acbd': 132, 'bbcbd': 63, 'bacb': 32, 'aabc': 69, 'bbaaaab': 131, 'abaaac': 142, 'cdaba': 107, 'babaaa': 160, 'bccd': 14, 'aaabbc': 126, 'bcda': 188, 'abbaa': 166, 'cbdb': 41, 'adcbc': 177, 'ccaa': 74, 'aabad': 81, 'dcc': 75, 'abaca': 46, 'acbaa': 143, 'bbcab': 102}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3296\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  800 symbols is  adacdaabcaaacbbcbccbcbcbadbcabbcbdbacacbaddbbaaacaabccbbaaacdbbbbaacbaaaddaddacadbbcbacbabbabbbabacabbbdabaacadababacbdacaacdaaabcbbaaccbbdcccbabcabbaaaccaaadabbdabacaacacdcbcbdaabbbccdaabcadcccaaacaaabaaaaaaababccabccabaaaabacaabbcdbcbbabbbabbbccdcbaabbaabcaaadbbdbaabadabbcbbcbabccdbacaaabcbacccdbbccabbdbabbcabadaaaabdaabdacbcaaababacbacbaccbbcbaccaaacbabccdbbadbacaabaabadabcadcaaaabbaddbbacdbbcadbdbdabbaaabaacbbccbacbaabbaaacdaadbaaababbcabbcacbbaacccbababaaaabaddcaaadaaaccaabcbcbabacaaaddbaaaabbabaacdcacdaabbaabcbbacbdbbaaacdcbaaaaacbdcbcadcbabacbabcdbaabaacbbbaaaaadabbaadaccabcaccadadacacdbbaaaabcababcaababdaaaddababcababcacdbbaaccbcbbacabdbdabaabbaaaaabaaacbaaaacabbadcdadbdabbccbabbaacabababcbcaddbabcacabaabaabbaaccacbdcadbbabacabbbaacacaabbabaaaabcbcabbaacabacbcaabcdcdaaabacbadabccba\n",
            "Entropy of the alphabet =  395.1454427210437 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'd', 3: 'ac', 4: 'da', 5: 'ab', 6: 'c', 7: 'aa', 8: 'acb', 9: 'b', 10: 'cb', 11: 'cc', 12: 'bc', 13: 'bcb', 14: 'ad', 15: 'bca', 16: 'bb', 17: 'cbd', 18: 'ba', 19: 'ca', 20: 'cba', 21: 'dd', 22: 'bba', 23: 'aac', 24: 'aab', 25: 'ccb', 26: 'baa', 27: 'acd', 28: 'bbb', 29: 'baac', 30: 'baaa', 31: 'dda', 32: 'ddac', 33: 'adb', 34: 'bcba', 35: 'cbab', 36: 'bab', 37: 'bbab', 38: 'aca', 39: 'bbbd', 40: 'aba', 41: 'acad', 42: 'abab', 43: 'acbd', 44: 'acaa', 45: 'cd', 46: 'aaa', 47: 'bcbb', 48: 'aacc', 49: 'bbd', 50: 'ccc', 51: 'babc', 52: 'abb', 53: 'aaac', 54: 'caa', 55: 'ada', 56: 'bbda', 57: 'bac', 58: 'aaca', 59: 'cdc', 60: 'bcbd', 61: 'aabb', 62: 'bcc', 63: 'daa', 64: 'bcad', 65: 'ccca', 66: 'aacaa', 67: 'abaa', 68: 'aaaa', 69: 'ababc', 70: 'cab', 71: 'cca', 72: 'baaaa', 73: 'baca', 74: 'abbc', 75: 'db', 76: 'cbb', 77: 'abbb', 78: 'abbbc', 79: 'cdcb', 80: 'aabba', 81: 'abc', 82: 'aaad', 83: 'bbdb', 84: 'aaba', 85: 'dab', 86: 'bcbbc', 87: 'babcc', 88: 'dba', 89: 'caaa', 90: 'bcbac', 91: 'ccd', 92: 'bbc', 93: 'cabb', 94: 'dbab', 95: 'bcab', 96: 'adaa', 97: 'aabd', 98: 'aabda', 99: 'cbc', 100: 'aaab', 101: 'abac', 102: 'bacb', 103: 'acc', 104: 'bbcb', 105: 'acca', 106: 'aacb', 107: 'abcc', 108: 'dbb', 109: 'adba', 110: 'caab', 111: 'aabad', 112: 'abca', 113: 'dc', 114: 'aaaab', 115: 'bad', 116: 'dbba', 117: 'cdb', 118: 'bcadb', 119: 'dbd', 120: 'abba', 121: 'aabaa', 122: 'cbbc', 123: 'cbac', 124: 'baab', 125: 'baaac', 126: 'daad', 127: 'baaab', 128: 'abbca', 129: 'bbca', 130: 'cbba', 131: 'accc', 132: 'baba', 133: 'baaaab', 134: 'add', 135: 'caaad', 136: 'aaacc', 137: 'aabc', 138: 'bcbab', 139: 'acaaa', 140: 'ddb', 141: 'aaaabb', 142: 'abaac', 143: 'dca', 144: 'cda', 145: 'abbaa', 146: 'bcbba', 147: 'cbdb', 148: 'baaacd', 149: 'cbaa', 150: 'aaacb', 151: 'dcb', 152: 'cad', 153: 'cbaba', 154: 'cbabc', 155: 'dbaa', 156: 'baacb', 157: 'bbaa', 158: 'aaada', 159: 'bbaad', 160: 'accab', 161: 'cac', 162: 'cada', 163: 'dac', 164: 'acdb', 165: 'baaaabc', 166: 'ababca', 167: 'ababd', 168: 'aaadd', 169: 'ababcab', 170: 'abcac', 171: 'dbbaa', 172: 'ccbc', 173: 'bbac', 174: 'abd', 175: 'bd', 176: 'abaab', 177: 'baaaaa', 178: 'baaacb', 179: 'aaaac', 180: 'abbad', 181: 'cdad', 182: 'bda', 183: 'bbcc', 184: 'babb', 185: 'aacab', 186: 'ababcb', 187: 'cadd', 188: 'babca', 189: 'caba', 190: 'abaabb', 191: 'aacca', 192: 'cbdc', 193: 'adbb', 194: 'abaca', 195: 'bbba', 196: 'acac', 197: 'aabbab', 198: 'aaaabc', 199: 'bcabb', 200: 'aacaba', 201: 'cbca', 202: 'abcd', 203: 'cdaa', 204: 'abacb', 205: 'adab', 206: 'ccba'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'ab': 1, 'b': 0, 'abb': 5, 'aa': 1, 'ba': 9, 'c': 0, 'ad': 1, 'aac': 7, 'bac': 18, 'bc': 9, 'aaca': 23, 'aab': 7, 'bcb': 12, 'ac': 1, 'ca': 6, 'cb': 6, 'bcc': 12, 'bb': 9, 'abc': 5, 'aaa': 7, 'cc': 6, 'aaaa': 46, 'aba': 5, 'abcb': 29, 'bbb': 16, 'abbc': 52, 'aca': 3, 'd': 0, 'cab': 19, 'bd': 9, 'cbb': 10, 'dc': 2, 'cac': 19, 'cbd': 10, 'aacad': 12, 'bbbb': 26, 'da': 2, 'bab': 18, 'dac': 4, 'babd': 16, 'abaa': 40, 'abbca': 74, 'cba': 10, 'bba': 16, 'adb': 14, 'aaba': 24, 'aacb': 23, 'cca': 11, 'daa': 4, 'cd': 6, 'baba': 36, 'acaa': 38, 'bbba': 28, 'abbd': 4, 'bda': 175, 'ada': 14, 'bbbaa': 54, 'abbb': 52, 'acab': 28, 'abcc': 81, 'bbbd': 28, 'baa': 18, 'babb': 36, 'dab': 4, 'adaa': 55, 'acc': 3, 'dad': 19, 'babab': 26, 'cbac': 20, 'baaa': 26, 'bcd': 10, 'cbc': 10, 'baca': 57, 'ccb': 11, 'caa': 19, 'bbab': 22, 'baaac': 30, 'adaab': 66, 'aabab': 81, 'bca': 12, 'acb': 3, 'bdaa': 56, 'bdaab': 83, 'aad': 6, 'aaac': 46, 'caca': 34, 'baaab': 30, 'acad': 38, 'abcba': 25, 'cbbd': 32, 'caad': 49, 'aaad': 46, 'abccc': 61, 'aabaa': 84, 'acd': 3, 'aaaaa': 119, 'acbc': 82, 'cacd': 34, 'caaa': 54, 'caba': 70, 'baab': 26, 'bbc': 16, 'aacd': 9, 'acbcb': 98, 'accb': 59, 'baaaa': 30, 'bdaac': 83, 'babc': 36, 'daca': 40, 'daaa': 60, 'adbb': 33, 'bdab': 56, 'acac': 38, 'abab': 40, 'bccc': 18, 'cad': 19, 'ababa': 115, 'caaab': 85, 'dabd': 65, 'aaab': 46, 'acdc': 96, 'bdb': 112, 'babaa': 26, 'adc': 12, 'dadc': 68, 'abad': 43, 'baaaaa': 72, 'babaac': 124, 'cacac': 87, 'aababd': 80, 'dabb': 54, 'bcba': 13, 'bbca': 92, 'cabac': 110, 'acaba': 60, 'ccc': 11, 'baaad': 71, 'abbcac': 43, 'bbac': 22, 'babac': 52, 'bbcac': 134, 'abcbd': 25, 'cacb': 34, 'bacab': 74, 'abac': 40, 'aabd': 24, 'bdbb': 123, 'bcbb': 13, 'ababaa': 118, 'aadb': 85, 'aaadb': 93, 'db': 2, 'aabda': 97, 'abba': 52, 'cbbc': 76, 'dd': 2, 'babad': 52, 'cccc': 137, 'bababb': 69, 'caaad': 89, 'cccd': 21, 'bcbba': 47, 'ddb': 21, 'abcbab': 90, 'cabb': 70, 'bbaa': 22, 'ccba': 25, 'abbbb': 59, 'abd': 5, 'acdd': 96, 'bbad': 45, 'bbaca': 140, 'ccbaa': 168, 'babaaca': 129, 'bbcb': 92, 'acaaa': 44, 'acbb': 132, 'ccab': 74, 'acba': 132, 'abcbabb': 165, 'aaaaab': 97, 'aaabb': 77, 'cbaa': 20, 'cccdd': 162, 'aaaca': 86, 'adbbc': 112, 'acdcb': 122, 'baaaaaa': 128, 'dba': 75, 'acadc': 89, 'bbd': 16, 'bcbc': 14, 'bacaa': 74, 'bdaabb': 84, 'aaaac': 68, 'aacab': 58, 'ddc': 157, 'dabc': 65, 'cdb': 45, 'dbab': 88, 'cabab': 101, 'cabba': 166, 'cacc': 34, 'ccd': 11, 'bad': 18, 'badb': 22, 'baad': 20, 'aacc': 23, 'bbdb': 49, 'abca': 81, 'cbad': 28, 'bcab': 15, 'abcbc': 40, 'bcaa': 48, 'cda': 45, 'dada': 39, 'caac': 49, 'caab': 54, 'bcaba': 50, 'bcca': 14, 'daac': 60, 'baac': 26, 'bbda': 49, 'dcb': 113, 'aaabc': 77, 'aabb': 24, 'abcad': 44, 'aabbb': 84, 'bbcba': 63, 'bbaac': 47, 'baacd': 73, 'dbd': 75, 'aacca': 48, 'daab': 60, 'bbaaa': 47, 'cdab': 57, 'ccac': 74, 'dca': 113, 'baadc': 27, 'bbaacc': 93, 'abcbca': 52, 'baabb': 83, 'bbcbaa': 92, 'cbcc': 72, 'caaba': 64, 'cabd': 66, 'aaaab': 68, 'bbaaaa': 105, 'aaabd': 77, 'bbacd': 89, 'cabbb': 128, 'bbdab': 76, 'bbdaba': 140, 'abaaa': 104, 'baaca': 73, 'abaab': 67, 'dbc': 56, 'aaaba': 77, 'cbbb': 34, 'cadb': 87, 'bbacc': 89, 'aabba': 61, 'baaba': 83, 'aabaac': 96, 'bdc': 112, 'bccb': 14, 'bdd': 112, 'aaadc': 147, 'aada': 117, 'bccbc': 165, 'cadba': 157, 'adcb': 148, 'bacc': 32, 'dbdb': 98, 'acbd': 8, 'bbcbd': 63, 'bacb': 57, 'aabc': 24, 'bbaaaab': 131, 'abaaac': 142, 'cdaba': 107, 'babaaa': 160, 'bccd': 14, 'aaabbc': 126, 'bcda': 188, 'abbaa': 120, 'cbdb': 17, 'adcbc': 177, 'ccaa': 74, 'aabad': 84, 'dcc': 75, 'abaca': 101, 'acbaa': 143, 'bbcab': 102, 'dda': 21, 'ddac': 31, 'cbab': 20, 'cdc': 45, 'bcbd': 13, 'bcad': 15, 'ccca': 50, 'aacaa': 58, 'ababc': 42, 'abbbc': 77, 'cdcb': 59, 'bcbbc': 47, 'babcc': 51, 'bcbac': 34, 'acca': 103, 'dbb': 75, 'adba': 33, 'dbba': 108, 'bcadb': 64, 'daad': 63, 'cbba': 76, 'accc': 103, 'baaaab': 72, 'add': 14, 'aaacc': 53, 'bcbab': 34, 'aaaabb': 114, 'abaac': 67, 'baaacd': 125, 'aaacb': 53, 'cbaba': 35, 'cbabc': 35, 'dbaa': 88, 'baacb': 29, 'aaada': 82, 'bbaad': 157, 'accab': 105, 'cada': 152, 'acdb': 27, 'baaaabc': 133, 'ababca': 69, 'ababd': 42, 'aaadd': 82, 'ababcab': 166, 'abcac': 112, 'dbbaa': 116, 'ccbc': 25, 'baaacb': 125, 'abbad': 120, 'cdad': 144, 'bbcc': 92, 'ababcb': 69, 'cadd': 152, 'babca': 51, 'abaabb': 176, 'cbdc': 17, 'aabbab': 80, 'aaaabc': 114, 'bcabb': 95, 'aacaba': 185, 'cbca': 99, 'abcd': 81, 'cdaa': 144, 'abacb': 101, 'adab': 55}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3296\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  800 symbols is  aabaabcbaaacaaacbaaabacbdbdbcbbbabaaabcbbbabaaacadadbaaadcdadbabbdcbaaabaaadbadbbbaabbbacbbdcdbaaaacabacbaabaaccbacadabbabaacaacbaabbddcadacdbccbccbabdbaabaaaacbcbaabacbbcbabbbadccacabadbabbbbacabaddacdabaaaacbababbacaabbbbbadcaabacaccaadaaabcaacabcaacaadacbcaacbcbcabdcbbbbbabcdbabbaadbbbacdbbbaabccbaaaaababacdbcbacaddbbbacaaababcacbadbacbdcaaabbbbaadaaabcbacaaccbcbaacabaacdbcdabdacdaaccbbcbacababacccabbccabcaacbaaabaaaaaabbcdbcabbacacbaacaaababcaaadadababdaaacbacbabababcbccdcacdbcbadbbcabdbaaadcdaacaaaacabbdabbaaaaadbbcbbbadaabccacbaaabbaccaababdcbccbcbaadcdababaacbababdcaabbccdcacababbaaacaccbaadbaacbaaddaaacaccbdbaaaacbacabbacbabccabababaabbaababbccacaabdbababdcbaadabccdcbaaaaacdcbbbaacbbbbbabaddacbaaccabcabcccbdbbdaaccaabcaccdbbcdbcdbbbaaaaaddbdbdaacbaaaaccbacdabcbaaacaaaaadbaabbccabab\n",
            "Entropy of the alphabet =  395.1454427210437 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'ab', 3: 'aa', 4: 'b', 5: 'c', 6: 'ba', 7: 'aac', 8: 'aaa', 9: 'cb', 10: 'aaab', 11: 'ac', 12: 'bd', 13: 'bdb', 14: 'cbb', 15: 'bab', 16: 'aaabc', 17: 'bb', 18: 'baba', 19: 'aaca', 20: 'd', 21: 'ad', 22: 'baa', 23: 'adc', 24: 'da', 25: 'db', 26: 'abb', 27: 'dc', 28: 'baaa', 29: 'baaad', 30: 'bad', 31: 'bbb', 32: 'aab', 33: 'bba', 34: 'cbbd', 35: 'cd', 36: 'baaaa', 37: 'ca', 38: 'bac', 39: 'baab', 40: 'aacc', 41: 'baca', 42: 'dab', 43: 'babaa', 44: 'caa', 45: 'cba', 46: 'abbd', 47: 'dca', 48: 'dac', 49: 'dbc', 50: 'cbc', 51: 'cbab', 52: 'dba', 53: 'aba', 54: 'aaac', 55: 'bc', 56: 'baaba', 57: 'cbbc', 58: 'babb', 59: 'badc', 60: 'cac', 61: 'abad', 62: 'babbb', 63: 'bacab', 64: 'add', 65: 'acd', 66: 'abaa', 67: 'aacb', 68: 'abab', 69: 'bacaa', 70: 'bbbb', 71: 'badca', 72: 'abac', 73: 'acc', 74: 'aad', 75: 'aaabca', 76: 'aca', 77: 'bca', 78: 'acaa', 79: 'dacb', 80: 'caac', 81: 'bcb', 82: 'cab', 83: 'dcb', 84: 'bbbba', 85: 'bcd', 86: 'babba', 87: 'adb', 88: 'bbac', 89: 'dbb', 90: 'baabc', 91: 'cbaa', 92: 'aaaba', 93: 'bacd', 94: 'bcba', 95: 'cad', 96: 'dbbb', 97: 'acaaa', 98: 'babc', 99: 'acb', 100: 'adba', 101: 'cbd', 102: 'caaa', 103: 'bbbbaa', 104: 'daa', 105: 'abc', 106: 'bacaac', 107: 'cbcb', 108: 'aacab', 109: 'aacd', 110: 'bcda', 111: 'bda', 112: 'cda', 113: 'accb', 114: 'bcbac', 115: 'ababa', 116: 'cc', 117: 'cabb', 118: 'cca', 119: 'bcaa', 120: 'cbaaa', 121: 'baaaaa', 122: 'abbc', 123: 'dbca', 124: 'bbaca', 125: 'cbaac', 126: 'aaabab', 127: 'caaad', 128: 'ada', 129: 'babd', 130: 'aaacb', 131: 'acba', 132: 'babab', 133: 'cbcc', 134: 'dcac', 135: 'dbcb', 136: 'adbb', 137: 'cabd', 138: 'baaadc', 139: 'daac', 140: 'aaaa', 141: 'cabbd', 142: 'abba', 143: 'aaaad', 144: 'bbc', 145: 'bbba', 146: 'daab', 147: 'ccac', 148: 'baaab', 149: 'bacc', 150: 'aaba', 151: 'bdc', 152: 'bcc', 153: 'bcbaa', 154: 'dcd', 155: 'ababaa', 156: 'cbaba', 157: 'bdca', 158: 'abbcc', 159: 'dcaca', 160: 'babbaa', 161: 'acac', 162: 'cbaad', 163: 'baac', 164: 'baad', 165: 'daaa', 166: 'cacc', 167: 'bdba', 168: 'aaacba', 169: 'cabba', 170: 'cbabc', 171: 'caba', 172: 'babaab', 173: 'baabab', 174: 'bcca', 175: 'caab', 176: 'dbab', 177: 'abd', 178: 'cbaada', 179: 'bccd', 180: 'cbaaaa', 181: 'acdc', 182: 'bbbaa', 183: 'cbbb', 184: 'bbab', 185: 'adda', 186: 'cbaacc', 187: 'abca', 188: 'bccc', 189: 'bdbb', 190: 'daacc', 191: 'aabc', 192: 'accd', 193: 'bbcd', 194: 'bcdb', 195: 'bbaa', 196: 'aaad', 197: 'dbd', 198: 'bdaa', 199: 'cbaaaac', 200: 'cbac', 201: 'dabc', 202: 'baaac', 203: 'aaaaa', 204: 'dbaa', 205: 'bbcc', 206: 'ccba'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'ab': 1, 'b': 0, 'abb': 2, 'aa': 1, 'ba': 4, 'c': 0, 'ad': 1, 'aac': 3, 'bac': 6, 'bc': 4, 'aaca': 7, 'aab': 3, 'bcb': 55, 'ac': 1, 'ca': 5, 'cb': 5, 'bcc': 55, 'bb': 4, 'abc': 2, 'aaa': 3, 'cc': 5, 'aaaa': 8, 'aba': 2, 'abcb': 29, 'bbb': 17, 'abbc': 26, 'aca': 11, 'd': 0, 'cab': 37, 'bd': 4, 'cbb': 9, 'dc': 20, 'cac': 37, 'cbd': 9, 'aacad': 12, 'bbbb': 31, 'da': 20, 'bab': 6, 'dac': 24, 'babd': 15, 'abaa': 53, 'abbca': 74, 'cba': 9, 'bba': 17, 'adb': 21, 'aaba': 32, 'aacb': 7, 'cca': 116, 'daa': 24, 'cd': 5, 'baba': 15, 'acaa': 76, 'bbba': 31, 'abbd': 26, 'bda': 12, 'ada': 21, 'bbbaa': 145, 'abbb': 52, 'acab': 28, 'abcc': 81, 'bbbd': 28, 'baa': 6, 'babb': 15, 'dab': 24, 'adaa': 55, 'acc': 11, 'dad': 19, 'babab': 18, 'cbac': 45, 'baaa': 22, 'bcd': 55, 'cbc': 9, 'baca': 38, 'ccb': 11, 'caa': 37, 'bbab': 33, 'baaac': 28, 'adaab': 66, 'aabab': 81, 'bca': 55, 'acb': 11, 'bdaa': 111, 'bdaab': 83, 'aad': 3, 'aaac': 8, 'caca': 34, 'baaab': 28, 'acad': 38, 'abcba': 25, 'cbbd': 14, 'caad': 49, 'aaad': 8, 'abccc': 61, 'aabaa': 84, 'acd': 11, 'aaaaa': 140, 'acbc': 82, 'cacd': 34, 'caaa': 44, 'caba': 82, 'baab': 22, 'bbc': 17, 'aacd': 7, 'acbcb': 98, 'accb': 73, 'baaaa': 28, 'bdaac': 83, 'babc': 15, 'daca': 40, 'daaa': 104, 'adbb': 87, 'bdab': 56, 'acac': 76, 'abab': 53, 'bccc': 152, 'cad': 37, 'ababa': 68, 'caaab': 85, 'dabd': 65, 'aaab': 8, 'acdc': 65, 'bdb': 12, 'babaa': 18, 'adc': 21, 'dadc': 68, 'abad': 53, 'baaaaa': 36, 'babaac': 124, 'cacac': 87, 'aababd': 80, 'dabb': 54, 'bcba': 81, 'bbca': 92, 'cabac': 110, 'acaba': 60, 'ccc': 11, 'baaad': 28, 'abbcac': 43, 'bbac': 33, 'babac': 52, 'bbcac': 134, 'abcbd': 25, 'cacb': 34, 'bacab': 41, 'abac': 53, 'aabd': 24, 'bdbb': 13, 'bcbb': 13, 'ababaa': 115, 'aadb': 85, 'aaadb': 93, 'db': 20, 'aabda': 97, 'abba': 26, 'cbbc': 14, 'dd': 2, 'babad': 52, 'cccc': 137, 'bababb': 69, 'caaad': 102, 'cccd': 21, 'bcbba': 47, 'ddb': 21, 'abcbab': 90, 'cabb': 82, 'bbaa': 33, 'ccba': 25, 'abbbb': 59, 'abd': 2, 'acdd': 96, 'bbad': 45, 'bbaca': 88, 'ccbaa': 168, 'babaaca': 129, 'bbcb': 92, 'acaaa': 78, 'acbb': 132, 'ccab': 74, 'acba': 99, 'abcbabb': 165, 'aaaaab': 97, 'aaabb': 77, 'cbaa': 45, 'cccdd': 162, 'aaaca': 86, 'adbbc': 112, 'acdcb': 122, 'baaaaaa': 128, 'dba': 25, 'acadc': 89, 'bbd': 16, 'bcbc': 14, 'bacaa': 41, 'bdaabb': 84, 'aaaac': 68, 'aacab': 19, 'ddc': 157, 'dabc': 42, 'cdb': 45, 'dbab': 52, 'cabab': 101, 'cabba': 117, 'cacc': 60, 'ccd': 11, 'bad': 6, 'badb': 22, 'baad': 22, 'aacc': 7, 'bbdb': 49, 'abca': 105, 'cbad': 28, 'bcab': 15, 'abcbc': 40, 'bcaa': 77, 'cda': 35, 'dada': 39, 'caac': 44, 'caab': 44, 'bcaba': 50, 'bcca': 152, 'daac': 104, 'baac': 22, 'bbda': 49, 'dcb': 27, 'aaabc': 10, 'aabb': 24, 'abcad': 44, 'aabbb': 84, 'bbcba': 63, 'bbaac': 47, 'baacd': 73, 'dbd': 25, 'aacca': 48, 'daab': 104, 'bbaaa': 47, 'cdab': 57, 'ccac': 118, 'dca': 27, 'baadc': 27, 'bbaacc': 93, 'abcbca': 52, 'baabb': 83, 'bbcbaa': 92, 'cbcc': 50, 'caaba': 64, 'cabd': 82, 'aaaab': 68, 'bbaaaa': 105, 'aaabd': 77, 'bbacd': 89, 'cabbb': 128, 'bbdab': 76, 'bbdaba': 140, 'abaaa': 104, 'baaca': 73, 'abaab': 67, 'dbc': 25, 'aaaba': 10, 'cbbb': 14, 'cadb': 87, 'bbacc': 89, 'aabba': 61, 'baaba': 39, 'aabaac': 96, 'bdc': 12, 'bccb': 14, 'bdd': 112, 'aaadc': 147, 'aada': 117, 'bccbc': 165, 'cadba': 157, 'adcb': 148, 'bacc': 38, 'dbdb': 98, 'acbd': 8, 'bbcbd': 63, 'bacb': 57, 'aabc': 32, 'bbaaaab': 131, 'abaaac': 142, 'cdaba': 107, 'babaaa': 160, 'bccd': 152, 'aaabbc': 126, 'bcda': 85, 'abbaa': 120, 'cbdb': 17, 'adcbc': 177, 'ccaa': 74, 'aabad': 84, 'dcc': 75, 'abaca': 101, 'acbaa': 143, 'bbcab': 102, 'dda': 21, 'ddac': 31, 'cbab': 45, 'cdc': 45, 'bcbd': 13, 'bcad': 15, 'ccca': 50, 'aacaa': 58, 'ababc': 42, 'abbbc': 77, 'cdcb': 59, 'bcbbc': 47, 'babcc': 51, 'bcbac': 94, 'acca': 103, 'dbb': 25, 'adba': 87, 'dbba': 108, 'bcadb': 64, 'daad': 63, 'cbba': 76, 'accc': 103, 'baaaab': 72, 'add': 21, 'aaacc': 53, 'bcbab': 34, 'aaaabb': 114, 'abaac': 67, 'baaacd': 125, 'aaacb': 54, 'cbaba': 51, 'cbabc': 51, 'dbaa': 52, 'baacb': 29, 'aaada': 82, 'bbaad': 157, 'accab': 105, 'cada': 152, 'acdb': 27, 'baaaabc': 133, 'ababca': 69, 'ababd': 42, 'aaadd': 82, 'ababcab': 166, 'abcac': 112, 'dbbaa': 116, 'ccbc': 25, 'baaacb': 125, 'abbad': 120, 'cdad': 144, 'bbcc': 144, 'ababcb': 69, 'cadd': 152, 'babca': 51, 'abaabb': 176, 'cbdc': 17, 'aabbab': 80, 'aaaabc': 114, 'bcabb': 95, 'aacaba': 185, 'cbca': 99, 'abcd': 81, 'cdaa': 144, 'abacb': 101, 'adab': 55, 'badc': 30, 'babbb': 58, 'badca': 59, 'aaabca': 16, 'dacb': 48, 'bbbba': 70, 'babba': 58, 'baabc': 39, 'bacd': 38, 'dbbb': 89, 'bbbbaa': 84, 'bacaac': 69, 'cbcb': 50, 'cbaaa': 91, 'dbca': 49, 'cbaac': 91, 'aaabab': 92, 'dcac': 47, 'dbcb': 49, 'baaadc': 29, 'cabbd': 117, 'aaaad': 140, 'bcbaa': 94, 'dcd': 27, 'bdca': 151, 'abbcc': 122, 'dcaca': 134, 'babbaa': 86, 'cbaad': 91, 'bdba': 13, 'aaacba': 130, 'babaab': 43, 'baabab': 56, 'cbaada': 162, 'cbaaaa': 120, 'adda': 64, 'cbaacc': 125, 'daacc': 139, 'accd': 73, 'bbcd': 144, 'bcdb': 85, 'cbaaaac': 180}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3296\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  800 symbols is  abaabadcabaaaaaaabcdaaaccaababcaaaadaaaabbbccdbabaaaabaaccbacbabaaddbcabaaaabaadbcacacaccaacbaabbcbabaaabacaaaaabdababbbccabdcaabbabacbdbadaddccacaabadaaccadccaaadaadcbacddbadaaaabcabaacbaabcacdcbaaaaccccccbcbbaabbbabbacbcaabacbacbaacaacabbbaadbbacabcabcdbdabbbbabbbacaaacbcacaabbbacaaaabbcbdbaaaaadbaaaaddacbaabacbaaacddbabadabdbadaddddababbcabbaaaacbbbabbcaabbabbbbdababccadaabbaabaaaaccaaabccbaabaaadaaaabaabbaadbcbaadacbabcbcbcbaaabbcababccababbaaaaacabcbbddbadbbbadaabaaacbdaaccaadacacbbdaccbbbaabbabbabcbcdbaacbbabdaadbacabbbcaaccbbaacaacbaadcdbacbaadadbcacdbadacdbbcbcdaaababccacbadcaababbabdaabaabacbccababbbdcadaababcabccbcbbaacadaadcbaaaabccadadcbcbcaccbabbbbabdccabcdaaddcbbbbabccdcbaaaacacaabacbaabaabbdbdbbbbcaccbccdcabccaacccbaccaccacbbadbacbcabadcbacababacabcbbabcabbcdcbbabbbbadabbbab\n",
            "Entropy of the alphabet =  395.1454427210437 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'aa', 4: 'ba', 5: 'd', 6: 'c', 7: 'ab', 8: 'aaa', 9: 'aaaa', 10: 'bc', 11: 'da', 12: 'aac', 13: 'ca', 14: 'aba', 15: 'bca', 16: 'aaad', 17: 'aaaab', 18: 'bb', 19: 'cc', 20: 'db', 21: 'abaa', 22: 'aab', 23: 'aacc', 24: 'bac', 25: 'bab', 26: 'aad', 27: 'dbc', 28: 'abaaa', 29: 'abaad', 30: 'bcac', 31: 'ac', 32: 'acc', 33: 'aacb', 34: 'aabb', 35: 'cb', 36: 'abaaab', 37: 'aca', 38: 'aaaabd', 39: 'abab', 40: 'bbc', 41: 'cab', 42: 'dc', 43: 'aabba', 44: 'bacb', 45: 'dba', 46: 'dad', 47: 'dcc', 48: 'acaa', 49: 'bad', 50: 'aacca', 51: 'dcca', 52: 'aada', 53: 'ad', 54: 'cba', 55: 'cd', 56: 'dbad', 57: 'aaaabc', 58: 'abaac', 59: 'baa', 60: 'bcacd', 61: 'cbaa', 62: 'aaccc', 63: 'ccc', 64: 'bcb', 65: 'baab', 66: 'bba', 67: 'bbac', 68: 'bcaa', 69: 'bacba', 70: 'cbaac', 71: 'aaca', 72: 'bbb', 73: 'aadb', 74: 'baca', 75: 'bcab', 76: 'cdb', 77: 'dab', 78: 'bbba', 79: 'bbbac', 80: 'aaac', 81: 'bcaca', 82: 'abb', 83: 'bacaa', 84: 'aabbc', 85: 'bd', 86: 'baaa', 87: 'aadba', 88: 'aaadd', 89: 'acb', 90: 'aaba', 91: 'cbaaa', 92: 'cdd', 93: 'baba', 94: 'dabd', 95: 'bada', 96: 'dd', 97: 'dda', 98: 'babb', 99: 'cabb', 100: 'aaaac', 101: 'bbbab', 102: 'bcaab', 103: 'babbb', 104: 'bda', 105: 'babc', 106: 'cad', 107: 'aabbaa', 108: 'baaaa', 109: 'cca', 110: 'aabc', 111: 'cbaab', 112: 'aaada', 113: 'aaab', 114: 'aabbaad', 115: 'bcba', 116: 'ada', 117: 'cbab', 118: 'cbc', 119: 'bcbaa', 120: 'abbc', 121: 'ababc', 122: 'caba', 123: 'bbaa', 124: 'aaaca', 125: 'bcbb', 126: 'ddb', 127: 'adb', 128: 'bbad', 129: 'aabaa', 130: 'acbd', 131: 'aaccaa', 132: 'dac', 133: 'acbb', 134: 'dacc', 135: 'bbbaa', 136: 'bbab', 137: 'babcb', 138: 'cdba', 139: 'acbba', 140: 'bdaa', 141: 'dbac', 142: 'abbb', 143: 'caa', 144: 'ccb', 145: 'baac', 146: 'aacba', 147: 'adc', 148: 'dbacb', 149: 'aadad', 150: 'bcacdb', 151: 'adac', 152: 'dbb', 153: 'cbcd', 154: 'aaaba', 155: 'bcc', 156: 'acba', 157: 'dca', 158: 'ababb', 159: 'abd', 160: 'aabaab', 161: 'acbc', 162: 'cabab', 163: 'bbd', 164: 'cada', 165: 'ababca', 166: 'bccb', 167: 'cbb', 168: 'aacad', 169: 'aadc', 170: 'baaaab', 171: 'ccad', 172: 'adcb', 173: 'cbca', 174: 'ccba', 175: 'bbbb', 176: 'abdc', 177: 'cabc', 178: 'daa', 179: 'ddc', 180: 'bbbba', 181: 'bccd', 182: 'cbaaaa', 183: 'cac', 184: 'aabac', 185: 'baaba', 186: 'abbd', 187: 'bdb', 188: 'bbbc', 189: 'accb', 190: 'ccd', 191: 'cabcc', 192: 'aacccb', 193: 'acca', 194: 'ccac', 195: 'bbadb', 196: 'acbca', 197: 'badc', 198: 'bacab', 199: 'abac', 200: 'abc', 201: 'bbabc', 202: 'abbcd', 203: 'cbba', 204: 'bbbbad', 205: 'abbba', 206: 'ccba'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'ab': 1, 'b': 0, 'abb': 7, 'aa': 1, 'ba': 2, 'c': 0, 'ad': 1, 'aac': 3, 'bac': 4, 'bc': 2, 'aaca': 12, 'aab': 3, 'bcb': 10, 'ac': 1, 'ca': 6, 'cb': 6, 'bcc': 10, 'bb': 2, 'abc': 7, 'aaa': 3, 'cc': 6, 'aaaa': 8, 'aba': 7, 'abcb': 29, 'bbb': 18, 'abbc': 82, 'aca': 31, 'd': 0, 'cab': 13, 'bd': 2, 'cbb': 35, 'dc': 5, 'cac': 13, 'cbd': 9, 'aacad': 71, 'bbbb': 72, 'da': 5, 'bab': 4, 'dac': 11, 'babd': 15, 'abaa': 14, 'abbca': 74, 'cba': 35, 'bba': 18, 'adb': 53, 'aaba': 22, 'aacb': 12, 'cca': 19, 'daa': 11, 'cd': 6, 'baba': 25, 'acaa': 37, 'bbba': 72, 'abbd': 82, 'bda': 85, 'ada': 53, 'bbbaa': 78, 'abbb': 82, 'acab': 28, 'abcc': 81, 'bbbd': 28, 'baa': 4, 'babb': 25, 'dab': 11, 'adaa': 55, 'acc': 31, 'dad': 11, 'babab': 18, 'cbac': 45, 'baaa': 59, 'bcd': 55, 'cbc': 35, 'baca': 24, 'ccb': 19, 'caa': 13, 'bbab': 66, 'baaac': 28, 'adaab': 66, 'aabab': 81, 'bca': 10, 'acb': 31, 'bdaa': 104, 'bdaab': 83, 'aad': 3, 'aaac': 8, 'caca': 34, 'baaab': 28, 'acad': 38, 'abcba': 25, 'cbbd': 14, 'caad': 49, 'aaad': 8, 'abccc': 61, 'aabaa': 90, 'acd': 11, 'aaaaa': 140, 'acbc': 89, 'cacd': 34, 'caaa': 44, 'caba': 41, 'baab': 59, 'bbc': 18, 'aacd': 7, 'acbcb': 98, 'accb': 32, 'baaaa': 86, 'bdaac': 83, 'babc': 25, 'daca': 40, 'daaa': 104, 'adbb': 87, 'bdab': 56, 'acac': 76, 'abab': 14, 'bccc': 152, 'cad': 13, 'ababa': 68, 'caaab': 85, 'dabd': 77, 'aaab': 8, 'acdc': 65, 'bdb': 85, 'babaa': 18, 'adc': 53, 'dadc': 68, 'abad': 53, 'baaaaa': 36, 'babaac': 124, 'cacac': 87, 'aababd': 80, 'dabb': 54, 'bcba': 64, 'bbca': 92, 'cabac': 110, 'acaba': 60, 'ccc': 19, 'baaad': 28, 'abbcac': 43, 'bbac': 66, 'babac': 52, 'bbcac': 134, 'abcbd': 25, 'cacb': 34, 'bacab': 74, 'abac': 14, 'aabd': 24, 'bdbb': 13, 'bcbb': 64, 'ababaa': 115, 'aadb': 26, 'aaadb': 93, 'db': 5, 'aabda': 97, 'abba': 26, 'cbbc': 14, 'dd': 5, 'babad': 52, 'cccc': 137, 'bababb': 69, 'caaad': 102, 'cccd': 21, 'bcbba': 47, 'ddb': 96, 'abcbab': 90, 'cabb': 41, 'bbaa': 66, 'ccba': 144, 'abbbb': 59, 'abd': 7, 'acdd': 96, 'bbad': 66, 'bbaca': 88, 'ccbaa': 168, 'babaaca': 129, 'bbcb': 92, 'acaaa': 78, 'acbb': 89, 'ccab': 74, 'acba': 89, 'abcbabb': 165, 'aaaaab': 97, 'aaabb': 77, 'cbaa': 54, 'cccdd': 162, 'aaaca': 80, 'adbbc': 112, 'acdcb': 122, 'baaaaaa': 128, 'dba': 20, 'acadc': 89, 'bbd': 18, 'bcbc': 14, 'bacaa': 74, 'bdaabb': 84, 'aaaac': 9, 'aacab': 19, 'ddc': 96, 'dabc': 42, 'cdb': 55, 'dbab': 52, 'cabab': 122, 'cabba': 117, 'cacc': 60, 'ccd': 19, 'bad': 4, 'badb': 22, 'baad': 22, 'aacc': 12, 'bbdb': 49, 'abca': 105, 'cbad': 28, 'bcab': 15, 'abcbc': 40, 'bcaa': 15, 'cda': 35, 'dada': 39, 'caac': 44, 'caab': 44, 'bcaba': 50, 'bcca': 152, 'daac': 104, 'baac': 59, 'bbda': 49, 'dcb': 27, 'aaabc': 10, 'aabb': 22, 'abcad': 44, 'aabbb': 84, 'bbcba': 63, 'bbaac': 47, 'baacd': 73, 'dbd': 25, 'aacca': 23, 'daab': 104, 'bbaaa': 47, 'cdab': 57, 'ccac': 109, 'dca': 42, 'baadc': 27, 'bbaacc': 93, 'abcbca': 52, 'baabb': 83, 'bbcbaa': 92, 'cbcc': 50, 'caaba': 64, 'cabd': 82, 'aaaab': 9, 'bbaaaa': 105, 'aaabd': 77, 'bbacd': 89, 'cabbb': 128, 'bbdab': 76, 'bbdaba': 140, 'abaaa': 21, 'baaca': 73, 'abaab': 67, 'dbc': 20, 'aaaba': 113, 'cbbb': 14, 'cadb': 87, 'bbacc': 89, 'aabba': 34, 'baaba': 65, 'aabaac': 96, 'bdc': 12, 'bccb': 155, 'bdd': 112, 'aaadc': 147, 'aada': 26, 'bccbc': 165, 'cadba': 157, 'adcb': 147, 'bacc': 38, 'dbdb': 98, 'acbd': 89, 'bbcbd': 63, 'bacb': 24, 'aabc': 22, 'bbaaaab': 131, 'abaaac': 142, 'cdaba': 107, 'babaaa': 160, 'bccd': 155, 'aaabbc': 126, 'bcda': 85, 'abbaa': 120, 'cbdb': 17, 'adcbc': 177, 'ccaa': 74, 'aabad': 84, 'dcc': 42, 'abaca': 101, 'acbaa': 143, 'bbcab': 102, 'dda': 96, 'ddac': 31, 'cbab': 54, 'cdc': 45, 'bcbd': 13, 'bcad': 15, 'ccca': 50, 'aacaa': 58, 'ababc': 39, 'abbbc': 77, 'cdcb': 59, 'bcbbc': 47, 'babcc': 51, 'bcbac': 94, 'acca': 32, 'dbb': 20, 'adba': 87, 'dbba': 108, 'bcadb': 64, 'daad': 63, 'cbba': 167, 'accc': 103, 'baaaab': 108, 'add': 21, 'aaacc': 53, 'bcbab': 34, 'aaaabb': 114, 'abaac': 21, 'baaacd': 125, 'aaacb': 54, 'cbaba': 51, 'cbabc': 51, 'dbaa': 52, 'baacb': 29, 'aaada': 16, 'bbaad': 157, 'accab': 105, 'cada': 106, 'acdb': 27, 'baaaabc': 133, 'ababca': 121, 'ababd': 42, 'aaadd': 16, 'ababcab': 166, 'abcac': 112, 'dbbaa': 116, 'ccbc': 25, 'baaacb': 125, 'abbad': 120, 'cdad': 144, 'bbcc': 144, 'ababcb': 69, 'cadd': 152, 'babca': 51, 'abaabb': 176, 'cbdc': 17, 'aabbab': 80, 'aaaabc': 17, 'bcabb': 95, 'aacaba': 185, 'cbca': 118, 'abcd': 81, 'cdaa': 144, 'abacb': 101, 'adab': 55, 'badc': 49, 'babbb': 98, 'badca': 59, 'aaabca': 16, 'dacb': 48, 'bbbba': 175, 'babba': 58, 'baabc': 39, 'bacd': 38, 'dbbb': 89, 'bbbbaa': 84, 'bacaac': 69, 'cbcb': 50, 'cbaaa': 61, 'dbca': 49, 'cbaac': 61, 'aaabab': 92, 'dcac': 47, 'dbcb': 49, 'baaadc': 29, 'cabbd': 117, 'aaaad': 140, 'bcbaa': 115, 'dcd': 27, 'bdca': 151, 'abbcc': 122, 'dcaca': 134, 'babbaa': 86, 'cbaad': 91, 'bdba': 13, 'aaacba': 130, 'babaab': 43, 'baabab': 56, 'cbaada': 162, 'cbaaaa': 91, 'adda': 64, 'cbaacc': 125, 'daacc': 139, 'accd': 73, 'bbcd': 144, 'bcdb': 85, 'cbaaaac': 180, 'abaad': 21, 'bcac': 15, 'abaaab': 28, 'aaaabd': 17, 'dcca': 47, 'dbad': 45, 'bcacd': 30, 'aaccc': 23, 'bacba': 44, 'bbbac': 78, 'bcaca': 30, 'aabbc': 34, 'aadba': 73, 'cdd': 55, 'bada': 49, 'bbbab': 78, 'bcaab': 68, 'aabbaa': 43, 'cbaab': 61, 'aabbaad': 107, 'aaccaa': 50, 'dacc': 132, 'babcb': 105, 'cdba': 76, 'acbba': 133, 'dbac': 45, 'aacba': 33, 'dbacb': 141, 'aadad': 52, 'bcacdb': 60, 'adac': 116, 'cbcd': 118, 'ababb': 39, 'aabaab': 129, 'aadc': 26, 'ccad': 109, 'abdc': 159, 'cabc': 41, 'aabac': 90, 'bbbc': 72, 'cabcc': 177, 'aacccb': 62, 'bbadb': 128, 'acbca': 161, 'bbabc': 136, 'abbcd': 120, 'bbbbad': 180, 'abbba': 142}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3296\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  3289.6\n",
            "The compression ratio relative to the ASCII code =  51.4 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***N = 1000***"
      ],
      "metadata": {
        "id": "pz0lgcK85ZHo"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 1000\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "vlLaemFi5XuA",
        "outputId": "bfd58a3a-dfa2-4c24-b058-0f4aa29a09f9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  1000 symbols is  adcabbbdbabccdaaaaacabacadaaccaaacabaaaaabbccaaacbcdacaacdcacbaaaadbaabababbabacbacccbaacbbcacbaabcbbaacbdbbaaaaadbcabacdcacabacaaacbbaabcbacacababaabaaaabacbcabaabaabcadaadbcbcabbdadccadbbcbbacaabcacbccabaacccabbacabccbcbabccdbcbacbbccbaabddabbbbbabbdabbababcbabaacaaaaabbbbadddaaaddbcbccabcdcabccbbabbdabaadcbcbccbbaacacaadababaacaaabaadcbaaaaccabccbadcadacaaccabacbabaaaacbccbacccbaaabbbabaacaaabcacadbadbcbbaabacbccacacbbababddabaabbbadbaacbaaddaaacbbcababcbaadadaaadbddbaacbaacdacacbaabbaabbbaacdccabcbcbdbaccacaacaccaabcabbccacabcdabbbaabbaaadbabcaabaabaabcbaadbbabdaadabbbbdabcabaacbabaacababdabbcbbdbbdaaaaccabaccaaaddacdabaaddbaaaabbaabbcadacbcbbcdaaaabacabadabbabdabbbaaaccaadbccabbcbbbbaacbaccbabbabbaaabbbabddaddaaabccadabbbcbababbbabbccbabaacbdbadaacdacabaaccdddbbbdaaccbdbcbaabaabcbbaaaaaacabbdccababbabbaabbccdaaadcaddbabccbddbbacbababcbaddacdcbbdadcaabacaacbcbaacaacaabbdacbbacacaaaaabaadaaabbaacbbbcaababcaabdbacbaacccddaabbcdbcaadbaaadcaaaaaabacbabccaaaaabbbbabadbbbcaaababbadabbcac\n",
            "Entropy of the alphabet =  493.93180340130465 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'd', 3: 'c', 4: 'ab', 5: 'b', 6: 'bd', 7: 'ba', 8: 'bc', 9: 'cd', 10: 'aa', 11: 'aaa', 12: 'ca', 13: 'bac', 14: 'ad', 15: 'aac', 16: 'caa', 17: 'ac', 18: 'aba', 19: 'aaaa', 20: 'bb', 21: 'cc', 22: 'aaac', 23: 'bcd', 24: 'aca', 25: 'acd', 26: 'cac', 27: 'baa', 28: 'aad', 29: 'baab', 30: 'abab', 31: 'bab', 32: 'acb', 33: 'acc', 34: 'cb', 35: 'aacb', 36: 'bca', 37: 'cba', 38: 'abc', 39: 'bba', 40: 'acbd', 41: 'bbaa', 42: 'aaad', 43: 'bcab', 44: 'acdc', 45: 'acab', 46: 'acaa', 47: 'acbb', 48: 'aab', 49: 'cbac', 50: 'acaba', 51: 'baaba', 52: 'aaab', 53: 'acbc', 54: 'abaa', 55: 'baabc', 56: 'ada', 57: 'adb', 58: 'cbc', 59: 'abb', 60: 'da', 61: 'dc', 62: 'cad', 63: 'bbc', 64: 'bbac', 65: 'aabc', 66: 'acbcc', 67: 'abaac', 68: 'cca', 69: 'bbaca', 70: 'bcc', 71: 'bcb', 72: 'abcc', 73: 'db', 74: 'cbacb', 75: 'bccb', 76: 'aabd', 77: 'dab', 78: 'bbb', 79: 'babb', 80: 'dabb', 81: 'ababc', 82: 'baba', 83: 'acaaa', 84: 'aabb', 85: 'bbad', 86: 'dd', 87: 'aaadd', 88: 'bcbc', 89: 'cab', 90: 'cdc', 91: 'abccb', 92: 'babbd', 93: 'abaad', 94: 'cbcb', 95: 'ccb', 96: 'baac', 97: 'acaad', 98: 'ababa', 99: 'acaaab', 100: 'aadc', 101: 'baaa', 102: 'acca', 103: 'bccba', 104: 'dca', 105: 'dac', 106: 'aacc', 107: 'abac', 108: 'babaa', 109: 'aacbc', 110: 'cbacc', 111: 'cbaa', 112: 'abbb', 113: 'abaaca', 114: 'aabca', 115: 'cadb', 116: 'adbc', 117: 'bbaab', 118: 'acbcca', 119: 'cacb', 120: 'babab', 121: 'dda', 122: 'baabb', 123: 'bad', 124: 'baacb', 125: 'aadd', 126: 'aaacb', 127: 'bcaba', 128: 'bcba', 129: 'adad', 130: 'aaadb', 131: 'ddb', 132: 'aacba', 133: 'acda', 134: 'cacba', 135: 'abba', 136: 'abbba', 137: 'acdcc', 138: 'abcb', 139: 'cbd', 140: 'bacc', 141: 'acaac', 142: 'accaa', 143: 'bcabb', 144: 'ccac', 145: 'abcd', 146: 'abbbaa', 147: 'bbaaa', 148: 'dba', 149: 'bcaa', 150: 'baabaa', 151: 'bcbaa', 152: 'dbb', 153: 'abd', 154: 'aada', 155: 'bbbb', 156: 'dabc', 157: 'abaacb', 158: 'abaacab', 159: 'abda', 160: 'bbcb', 161: 'bdb', 162: 'bda', 163: 'aaacc', 164: 'abacc', 165: 'aaadda', 166: 'cda', 167: 'baad', 168: 'dbaa', 169: 'aabba', 170: 'abbc', 171: 'adac', 172: 'bcbb', 173: 'cdaa', 174: 'aaba', 175: 'caba', 176: 'dabba', 177: 'bdab', 178: 'bbaaac', 179: 'caad', 180: 'bcca', 181: 'bbcbb', 182: 'bbaac', 183: 'baccb', 184: 'abbab', 185: 'baaab', 186: 'bbab', 187: 'ddad', 188: 'daa', 189: 'abcca', 190: 'dabbb', 191: 'cbab', 192: 'abbbab', 193: 'bccbab', 194: 'aacbd', 195: 'bada', 196: 'acdac', 197: 'abaacc', 198: 'ddd', 199: 'bbbd', 200: 'aaccb', 201: 'dbc', 202: 'baabaab', 203: 'cbb', 204: 'aaaaa', 205: 'acabb', 206: 'dcc', 207: 'ababb', 208: 'abbaa', 209: 'bbcc', 210: 'daaa', 211: 'dcad', 212: 'dbab', 213: 'ccbd', 214: 'dbba', 215: 'cbaba', 216: 'bcbad', 217: 'dacd', 218: 'cbbd', 219: 'adc', 220: 'aabac', 221: 'aacbcb', 222: 'aaca', 223: 'acaab', 224: 'bdac', 225: 'bbacac', 226: 'aaaaab', 227: 'aadaa', 228: 'abbaac', 229: 'bbbc', 230: 'aabab', 231: 'caab', 232: 'dbac', 233: 'baacc', 234: 'cdd', 235: 'aabbc', 236: 'dbca', 237: 'adba', 238: 'aadca', 239: 'aaaaaba', 240: 'cbabc', 241: 'caaa', 242: 'aabbb', 243: 'babad', 244: 'bbbca', 245: 'aababb', 246: 'adab', 247: 'bcac'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'd': 0, 'c': 0, 'ab': 1, 'b': 0, 'bd': 5, 'ba': 5, 'bc': 5, 'cd': 3, 'aa': 1, 'aaa': 10, 'ca': 3, 'bac': 7, 'ad': 1, 'aac': 10, 'caa': 12, 'ac': 1, 'aba': 4, 'aaaa': 11, 'bb': 5, 'cc': 3, 'aaac': 11, 'bcd': 8, 'aca': 17, 'acd': 17, 'cac': 12, 'baa': 7, 'aad': 10, 'baab': 27, 'abab': 18, 'bab': 7, 'acb': 17, 'acc': 17, 'cb': 3, 'aacb': 15, 'bca': 8, 'cba': 34, 'abc': 4, 'bba': 20, 'acbd': 32, 'bbaa': 39, 'aaad': 11, 'bcab': 36, 'acdc': 25, 'acab': 24, 'acaa': 24, 'acbb': 32, 'aab': 10, 'cbac': 37, 'acaba': 45, 'baaba': 29, 'aaab': 11, 'acbc': 32, 'abaa': 18, 'baabc': 29, 'ada': 14, 'adb': 14, 'cbc': 34, 'abb': 4, 'da': 2, 'dc': 2, 'cad': 12, 'bbc': 20, 'bbac': 39, 'aabc': 48, 'acbcc': 53, 'abaac': 54, 'cca': 21, 'bbaca': 64, 'bcc': 8, 'bcb': 8, 'abcc': 38, 'db': 2, 'cbacb': 49, 'bccb': 70, 'aabd': 48, 'dab': 60, 'bbb': 20, 'babb': 31, 'dabb': 77, 'ababc': 30, 'baba': 31, 'acaaa': 46, 'aabb': 48, 'bbad': 39, 'dd': 2, 'aaadd': 42, 'bcbc': 71, 'cab': 12, 'cdc': 9, 'abccb': 72, 'babbd': 79, 'abaad': 54, 'cbcb': 58, 'ccb': 21, 'baac': 27, 'acaad': 46, 'ababa': 30, 'acaaab': 83, 'aadc': 28, 'baaa': 27, 'acca': 33, 'bccba': 75, 'dca': 61, 'dac': 60, 'aacc': 15, 'abac': 18, 'babaa': 82, 'aacbc': 35, 'cbacc': 49, 'cbaa': 37, 'abbb': 59, 'abaaca': 67, 'aabca': 65, 'cadb': 62, 'adbc': 57, 'bbaab': 41, 'acbcca': 66, 'cacb': 26, 'babab': 82, 'dda': 86, 'baabb': 29, 'bad': 7, 'baacb': 96, 'aadd': 28, 'aaacb': 22, 'bcaba': 43, 'bcba': 71, 'adad': 56, 'aaadb': 42, 'ddb': 86, 'aacba': 35, 'acda': 25, 'cacba': 119, 'abba': 59, 'abbba': 112, 'acdcc': 44, 'abcb': 38, 'cbd': 34, 'bacc': 13, 'acaac': 46, 'accaa': 102, 'bcabb': 43, 'ccac': 68, 'abcd': 38, 'abbbaa': 136, 'bbaaa': 41, 'dba': 73, 'bcaa': 36, 'baabaa': 51, 'bcbaa': 128, 'dbb': 73, 'abd': 4, 'aada': 28, 'bbbb': 78, 'dabc': 77, 'abaacb': 67, 'abaacab': 113, 'abda': 153, 'bbcb': 63, 'bdb': 6, 'bda': 6, 'aaacc': 22, 'abacc': 107, 'aaadda': 87, 'cda': 9, 'baad': 27, 'dbaa': 148, 'aabba': 84, 'abbc': 59, 'adac': 56, 'bcbb': 71, 'cdaa': 166, 'aaba': 48, 'caba': 89, 'dabba': 80, 'bdab': 162, 'bbaaac': 147, 'caad': 16, 'bcca': 70, 'bbcbb': 160, 'bbaac': 41, 'baccb': 140, 'abbab': 135, 'baaab': 101, 'bbab': 39, 'ddad': 121, 'daa': 60, 'abcca': 72, 'dabbb': 80, 'cbab': 37, 'abbbab': 136, 'bccbab': 103, 'aacbd': 35, 'bada': 123, 'acdac': 133, 'abaacc': 67, 'ddd': 86, 'bbbd': 78, 'aaccb': 106, 'dbc': 73, 'baabaab': 150, 'cbb': 34, 'aaaaa': 19, 'acabb': 45, 'dcc': 61, 'ababb': 30, 'abbaa': 135, 'bbcc': 63, 'daaa': 188, 'dcad': 104, 'dbab': 148, 'ccbd': 95, 'dbba': 152, 'cbaba': 191, 'bcbad': 128, 'dacd': 105, 'cbbd': 203, 'adc': 14, 'aabac': 174, 'aacbcb': 109, 'aaca': 15, 'acaab': 46, 'bdac': 162, 'bbacac': 69, 'aaaaab': 204, 'aadaa': 154, 'abbaac': 208, 'bbbc': 78, 'aabab': 174, 'caab': 16, 'dbac': 148, 'baacc': 96, 'cdd': 9, 'aabbc': 84, 'dbca': 201, 'adba': 57, 'aadca': 100, 'aaaaaba': 226, 'cbabc': 191, 'caaa': 16, 'aabbb': 84, 'babad': 82, 'bbbca': 229, 'aababb': 230, 'adab': 56, 'bcac': 36}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3952\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  1000 symbols is  abdabbabaababcabcaaaccaaccaacaaaacaaaabbcbaaabbcbdaacbaacaabcaaaaaabacbbaaaabaabbbabaccbbabcaacabaaaacbddcbcabacbbcccdcdbcbbbaabcbbdcaabcbdbcbaaadcbabccaaaaaabaaaacdaaabadccacabdaaabbaabbaaacaabcbabadabccaadcbabbccadbbbcabbaadabadbbacbaabbabbcdaadabaadcacabbccbbbaabbbacbbcaabacbadbdcdddaaaacbbcadbaaadcaacbdddabbaabaaccbbabbbacabcbcadccbcccabaacbdbcaaabacabacabcbaaaaabaaadadcdccabaaaacacbdacabaababbababaabcccbaccbcbbbcacaaccccccaaabbbdbabbbbabababacacabaaaacabcadaaadadacaacbdbaabaacbababaabdabaacacabdcbdabdcacabaadcbaabaabcbabaaaacabbbdccbabcacdacababaaabbababbbaabbbbbbaaaadbabbbbcbcbbbcaaaaababacaaabcbbcbaadaacbbcacacbdddcddacdcadaaccabdaccccabaaaabbcaacaaabbdbbaacacacabcbbacaabbabcbcadcbaaaddcbcddcadcbcdddbadaaabaddabadbbbdbcaabadaaacdacaaadacdcbbcbbdcacbdddbabcaccbdbbbbadacacdbbabaaacbcabaaabcbbbdccbbadaaaaacdbaddbabbcabaaabacbaabbbcbbadabababadaacbbcaabacccabadcccbaaaaabbbaabbabbbcabcaaaacdbcaaabcacdabcabbabbbaaaacccbdcaabbcaacbbbbacdabcbbababcacabbbbaaaadaadbaaaadbaabbacabbcdccaabb\n",
            "Entropy of the alphabet =  493.93180340130465 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'd', 4: 'ab', 5: 'ba', 6: 'baa', 7: 'bab', 8: 'c', 9: 'abc', 10: 'aa', 11: 'ac', 12: 'ca', 13: 'acc', 14: 'aac', 15: 'aaa', 16: 'aca', 17: 'aaab', 18: 'bc', 19: 'baaa', 20: 'bb', 21: 'cb', 22: 'da', 23: 'acb', 24: 'aaca', 25: 'abca', 26: 'aaaa', 27: 'aba', 28: 'cbb', 29: 'aaaab', 30: 'aab', 31: 'bba', 32: 'bac', 33: 'cbba', 34: 'bca', 35: 'acab', 36: 'aaaac', 37: 'bd', 38: 'dc', 39: 'bcab', 40: 'acbb', 41: 'cc', 42: 'cd', 43: 'cdb', 44: 'cbbb', 45: 'aabc', 46: 'bbd', 47: 'caa', 48: 'bcb', 49: 'db', 50: 'cba', 51: 'aad', 52: 'cbab', 53: 'cca', 54: 'aaaaa', 55: 'baaaa', 56: 'cda', 57: 'aaba', 58: 'dcc', 59: 'acabd', 60: 'aaabb', 61: 'aabb', 62: 'aaac', 63: 'aabcb', 64: 'abad', 65: 'abcc', 66: 'aadc', 67: 'babb', 68: 'ccad', 69: 'bbb', 70: 'cab', 71: 'baad', 72: 'abadb', 73: 'bacb', 74: 'aabba', 75: 'bbc', 76: 'daa', 77: 'dab', 78: 'aadca', 79: 'cabb', 80: 'ccb', 81: 'bbaa', 82: 'bbba', 83: 'cbbc', 84: 'aabac', 85: 'bad', 86: 'bdc', 87: 'dd', 88: 'daaa', 89: 'acbbc', 90: 'ad', 91: 'baaad', 92: 'caac', 93: 'bdd', 94: 'dabb', 95: 'aabaa', 96: 'ccbb', 97: 'abb', 98: 'baca', 99: 'bcbc', 100: 'adc', 101: 'cbc', 102: 'ccab', 103: 'aacb', 104: 'dbc', 105: 'aaaba', 106: 'caba', 107: 'cabc', 108: 'baaaaa', 109: 'baaada', 110: 'dcd', 111: 'ccaba', 112: 'aaaca', 113: 'cbd', 114: 'acaba', 115: 'abab', 116: 'baba', 117: 'baab', 118: 'ccc', 119: 'bacc', 120: 'bcbb', 121: 'bcac', 122: 'aacc', 123: 'cccc', 124: 'aaabbb', 125: 'dba', 126: 'bbbb', 127: 'ababa', 128: 'bacac', 129: 'abaa', 130: 'aacab', 131: 'cad', 132: 'aaad', 133: 'ada', 134: 'caacb', 135: 'dbaa', 136: 'baac', 137: 'babab', 138: 'aabd', 139: 'abaac', 140: 'acabdc', 141: 'bda', 142: 'bdca', 143: 'cabaa', 144: 'dcb', 145: 'aabaab', 146: 'cbaba', 147: 'aaacab', 148: 'bbdc', 149: 'cbabc', 150: 'acd', 151: 'acabab', 152: 'aaabba', 153: 'babbb', 154: 'aabbb', 155: 'bbbaa', 156: 'aadb', 157: 'abbb', 158: 'bcbcb', 159: 'bbca', 160: 'aaaaba', 161: 'bacaa', 162: 'abcb', 163: 'bcba', 164: 'adaa', 165: 'cbbca', 166: 'cac', 167: 'bddd', 168: 'cdd', 169: 'acdc', 170: 'adaac', 171: 'cabd', 172: 'accc', 173: 'cabaaa', 174: 'abbc', 175: 'aacaa', 176: 'abbd', 177: 'bbaac', 178: 'acac', 179: 'abcbb', 180: 'acaa', 181: 'bbab', 182: 'cbca', 183: 'dcba', 184: 'aadd', 185: 'cbcd', 186: 'dca', 187: 'dcbc', 188: 'ddd', 189: 'bada', 190: 'aabad', 191: 'daba', 192: 'dbb', 193: 'bdb', 194: 'caab', 195: 'adaaa', 196: 'cdac', 197: 'aaada', 198: 'cdc', 199: 'bbcb', 200: 'bdcac', 201: 'bdddb', 202: 'abcac', 203: 'cbdb', 204: 'bbbad', 205: 'acacd', 206: 'bbaba', 207: 'aacbc', 208: 'abaaa', 209: 'bcbbb', 210: 'dccb', 211: 'badaa', 212: 'aaacd', 213: 'badd', 214: 'babbc', 215: 'abaaab', 216: 'acba', 217: 'abbbc', 218: 'bbad', 219: 'ababab', 220: 'adaacb', 221: 'bcaa', 222: 'baccc', 223: 'abadc', 224: 'ccba', 225: 'aaaabb', 226: 'baabb', 227: 'abbbca', 228: 'bcaaa', 229: 'acdb', 230: 'caaa', 231: 'bcacd', 232: 'abcab', 233: 'babbba', 234: 'aaacc', 235: 'cbdc', 236: 'aabbc', 237: 'aacbb', 238: 'bbac', 239: 'dabc', 240: 'bbabab', 241: 'caca', 242: 'bbbba', 243: 'aaadaa', 244: 'dbaaa', 245: 'adb', 246: 'aabbac', 247: 'abbcd', 248: 'ccaa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'd': 0, 'c': 0, 'ab': 1, 'b': 0, 'bd': 2, 'ba': 2, 'bc': 2, 'cd': 8, 'aa': 1, 'aaa': 10, 'ca': 8, 'bac': 5, 'ad': 1, 'aac': 10, 'caa': 12, 'ac': 1, 'aba': 4, 'aaaa': 15, 'bb': 2, 'cc': 8, 'aaac': 15, 'bcd': 8, 'aca': 11, 'acd': 11, 'cac': 12, 'baa': 5, 'aad': 10, 'baab': 6, 'abab': 27, 'bab': 5, 'acb': 11, 'acc': 11, 'cb': 8, 'aacb': 14, 'bca': 18, 'cba': 21, 'abc': 4, 'bba': 20, 'acbd': 32, 'bbaa': 31, 'aaad': 15, 'bcab': 34, 'acdc': 150, 'acab': 16, 'acaa': 16, 'acbb': 23, 'aab': 10, 'cbac': 37, 'acaba': 35, 'baaba': 29, 'aaab': 15, 'acbc': 32, 'abaa': 27, 'baabc': 29, 'ada': 90, 'adb': 90, 'cbc': 21, 'abb': 4, 'da': 3, 'dc': 3, 'cad': 12, 'bbc': 20, 'bbac': 31, 'aabc': 30, 'acbcc': 53, 'abaac': 129, 'cca': 41, 'bbaca': 64, 'bcc': 8, 'bcb': 18, 'abcc': 9, 'db': 3, 'cbacb': 49, 'bccb': 70, 'aabd': 30, 'dab': 22, 'bbb': 20, 'babb': 7, 'dabb': 77, 'ababc': 30, 'baba': 7, 'acaaa': 46, 'aabb': 30, 'bbad': 31, 'dd': 3, 'aaadd': 42, 'bcbc': 48, 'cab': 12, 'cdc': 42, 'abccb': 72, 'babbd': 79, 'abaad': 54, 'cbcb': 58, 'ccb': 41, 'baac': 6, 'acaad': 46, 'ababa': 115, 'acaaab': 83, 'aadc': 51, 'baaa': 6, 'acca': 33, 'bccba': 75, 'dca': 38, 'dac': 60, 'aacc': 14, 'abac': 18, 'babaa': 82, 'aacbc': 103, 'cbacc': 49, 'cbaa': 37, 'abbb': 97, 'abaaca': 67, 'aabca': 65, 'cadb': 62, 'adbc': 57, 'bbaab': 41, 'acbcca': 66, 'cacb': 26, 'babab': 116, 'dda': 86, 'baabb': 117, 'bad': 5, 'baacb': 96, 'aadd': 51, 'aaacb': 22, 'bcaba': 43, 'bcba': 48, 'adad': 56, 'aaadb': 42, 'ddb': 86, 'aacba': 35, 'acda': 25, 'cacba': 119, 'abba': 59, 'abbba': 112, 'acdcc': 44, 'abcb': 9, 'cbd': 21, 'bacc': 32, 'acaac': 46, 'accaa': 102, 'bcabb': 43, 'ccac': 68, 'abcd': 38, 'abbbaa': 136, 'bbaaa': 41, 'dba': 49, 'bcaa': 34, 'baabaa': 51, 'bcbaa': 128, 'dbb': 49, 'abd': 4, 'aada': 28, 'bbbb': 69, 'dabc': 77, 'abaacb': 67, 'abaacab': 113, 'abda': 153, 'bbcb': 75, 'bdb': 37, 'bda': 37, 'aaacc': 62, 'abacc': 107, 'aaadda': 87, 'cda': 42, 'baad': 6, 'dbaa': 125, 'aabba': 61, 'abbc': 97, 'adac': 56, 'bcbb': 48, 'cdaa': 166, 'aaba': 30, 'caba': 70, 'dabba': 80, 'bdab': 162, 'bbaaac': 147, 'caad': 16, 'bcca': 70, 'bbcbb': 160, 'bbaac': 81, 'baccb': 140, 'abbab': 135, 'baaab': 101, 'bbab': 31, 'ddad': 121, 'daa': 22, 'abcca': 72, 'dabbb': 80, 'cbab': 50, 'abbbab': 136, 'bccbab': 103, 'aacbd': 35, 'bada': 85, 'acdac': 133, 'abaacc': 67, 'ddd': 87, 'bbbd': 78, 'aaccb': 106, 'dbc': 49, 'baabaab': 150, 'cbb': 21, 'aaaaa': 26, 'acabb': 45, 'dcc': 38, 'ababb': 30, 'abbaa': 135, 'bbcc': 63, 'daaa': 76, 'dcad': 104, 'dbab': 148, 'ccbd': 95, 'dbba': 152, 'cbaba': 52, 'bcbad': 128, 'dacd': 105, 'cbbd': 203, 'adc': 90, 'aabac': 57, 'aacbcb': 109, 'aaca': 14, 'acaab': 46, 'bdac': 162, 'bbacac': 69, 'aaaaab': 204, 'aadaa': 154, 'abbaac': 208, 'bbbc': 78, 'aabab': 174, 'caab': 47, 'dbac': 148, 'baacc': 96, 'cdd': 42, 'aabbc': 61, 'dbca': 201, 'adba': 57, 'aadca': 66, 'aaaaaba': 226, 'cbabc': 52, 'caaa': 47, 'aabbb': 61, 'babad': 82, 'bbbca': 229, 'aababb': 230, 'adab': 56, 'bcac': 34, 'abca': 9, 'aaaab': 26, 'cbba': 28, 'aaaac': 26, 'cdb': 42, 'cbbb': 28, 'bbd': 20, 'baaaa': 19, 'acabd': 35, 'aaabb': 17, 'aabcb': 45, 'abad': 27, 'ccad': 53, 'abadb': 64, 'bacb': 32, 'cabb': 70, 'bbba': 69, 'cbbc': 28, 'bdc': 37, 'acbbc': 40, 'baaad': 19, 'caac': 47, 'bdd': 37, 'aabaa': 57, 'ccbb': 80, 'baca': 32, 'ccab': 53, 'aaaba': 17, 'cabc': 70, 'baaaaa': 55, 'baaada': 91, 'dcd': 38, 'ccaba': 102, 'aaaca': 62, 'ccc': 41, 'cccc': 118, 'aaabbb': 60, 'bacac': 98, 'aacab': 24, 'caacb': 92, 'acabdc': 59, 'bdca': 86, 'cabaa': 106, 'dcb': 38, 'aabaab': 95, 'aaacab': 112, 'bbdc': 46, 'acabab': 114, 'aaabba': 60, 'babbb': 67, 'bbbaa': 82, 'aadb': 51, 'bcbcb': 99, 'bbca': 75, 'aaaaba': 29, 'bacaa': 98, 'adaa': 133, 'cbbca': 83, 'bddd': 93, 'adaac': 164, 'cabd': 70, 'accc': 13, 'cabaaa': 143, 'aacaa': 24, 'abbd': 97, 'acac': 16, 'abcbb': 162, 'cbca': 101, 'dcba': 144, 'cbcd': 101, 'dcbc': 144, 'aabad': 57, 'daba': 77, 'adaaa': 164, 'cdac': 56, 'aaada': 132, 'bdcac': 142, 'bdddb': 167, 'abcac': 25, 'cbdb': 113, 'bbbad': 82, 'acacd': 178, 'bbaba': 181, 'abaaa': 129, 'bcbbb': 120, 'dccb': 58, 'badaa': 189, 'aaacd': 62, 'badd': 85, 'babbc': 67, 'abaaab': 208, 'acba': 23, 'abbbc': 157, 'ababab': 127, 'adaacb': 170, 'baccc': 119, 'abadc': 64, 'ccba': 80, 'aaaabb': 29, 'abbbca': 217, 'bcaaa': 221, 'acdb': 150, 'bcacd': 121, 'abcab': 25, 'babbba': 153, 'cbdc': 113, 'aacbb': 103, 'bbabab': 206, 'caca': 166, 'bbbba': 126, 'aaadaa': 197, 'dbaaa': 135, 'aabbac': 74, 'abbcd': 174, 'ccaa': 53}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3968\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  1000 symbols is  adbdccaabbacbbbaaabaaacbacabaccccaabccacdbabacccaabbcccabbbadbdaacbbcbabacabdbddaacdcccbcbbdacaaabcacdaacbbdaabbbcabdcdadaaadbccbacbabaadcabcabcdbaadbabaabababbdacbdbbaaccdbbcacabbacaacabbbaaacdcdaadacacacaccabbacaabbbaaabbaaacbadbabaabbdbacccdcdbccaacbabaacaaabbdaaadabaaabacabbcaabaccaacaaaabbaabaacbdabacbcbaccbacbbbaaaabaabcadccbabadbbbbbddcbcdbabacbccaabacbaacaababcaabaaaaabbccccddcdbbacbbcabacbcacbdcabaababcabbcaaabbcbabbbbaccbadaabbaaaabbcbcaaabaaacbdbaaaacbbabaccbadaaadcabcabbadabbabbaaaaabacbbacaaabaacbabbacbabaadcccadadbbbbcbdbcabababacacaacbaaaccdaadabadcacbbbbbcbdbbbacaadadbabbacabbcbaabaacbaaacadbabcaaccabaaaaacbcdadbcbadaabcaabadabaababaabbacbaabcddcbbabcabdabbcaaadcaaabdcabbbbabdbcbacbcdaabababcaaaaabddaabbbaccbccbabdabdcabbaaacaacaabbbaaaaaababaaccadabccdcacadaacbcbaadaabccababcadcbaacaacaaaabbbaccaacaaadaaabbacbabaaaaaacbaabcacaddacbbbbacaabbbacdcabacbdbccaaaadaaddadcaaabbababbbdbabaaaadbbacbaccdbdbaacabbbcabacbaabbccadacbbbabddaaadcbaabbadadbbdbaadcbabdcabaabbbdcbabcbcc\n",
            "Entropy of the alphabet =  493.93180340130465 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'd', 3: 'b', 4: 'dc', 5: 'c', 6: 'aa', 7: 'bb', 8: 'ac', 9: 'bbb', 10: 'aaa', 11: 'ba', 12: 'aac', 13: 'bac', 14: 'ab', 15: 'acc', 16: 'cc', 17: 'aab', 18: 'cca', 19: 'cd', 20: 'bab', 21: 'accc', 22: 'aabb', 23: 'ccc', 24: 'abb', 25: 'bad', 26: 'bd', 27: 'aacb', 28: 'bc', 29: 'baba', 30: 'ca', 31: 'bdb', 32: 'dd', 33: 'aacd', 34: 'cccb', 35: 'cb', 36: 'bda', 37: 'caa', 38: 'abc', 39: 'acd', 40: 'aacbb', 41: 'da', 42: 'abbb', 43: 'cab', 44: 'dcd', 45: 'ad', 46: 'aaad', 47: 'bcc', 48: 'bacb', 49: 'aba', 50: 'adc', 51: 'abca', 52: 'bcd', 53: 'baa', 54: 'db', 55: 'abaa', 56: 'babab', 57: 'bdac', 58: 'bdbb', 59: 'aacc', 60: 'dbb', 61: 'cac', 62: 'abba', 63: 'caac', 64: 'abbba', 65: 'aacdc', 66: 'daa', 67: 'dac', 68: 'aca', 69: 'cacc', 70: 'abbac', 71: 'aabbb', 72: 'aaab', 73: 'baaa', 74: 'cba', 75: 'dba', 76: 'baab', 77: 'bdba', 78: 'cccd', 79: 'cdb', 80: 'ccaa', 81: 'cbab', 82: 'aaca', 83: 'aabbd', 84: 'aaada', 85: 'baaab', 86: 'acab', 87: 'bca', 88: 'abac', 89: 'caaca', 90: 'aaabb', 91: 'aaba', 92: 'acb', 93: 'dab', 94: 'acbc', 95: 'bacc', 96: 'bacbb', 97: 'baaaa', 98: 'baabc', 99: 'adcc', 100: 'babad', 101: 'bbbb', 102: 'bdd', 103: 'cbc', 104: 'dbab', 105: 'acbcc', 106: 'aabac', 107: 'baac', 108: 'aabab', 109: 'caab', 110: 'aaaa', 111: 'abbc', 112: 'cccdd', 113: 'cdbb', 114: 'acbb', 115: 'caba', 116: 'cbca', 117: 'cbd', 118: 'cabaa', 119: 'babc', 120: 'abbca', 121: 'aabbc', 122: 'babb', 123: 'bba', 124: 'ccb', 125: 'ada', 126: 'abbaa', 127: 'aabbcb', 128: 'caaa', 129: 'baaac', 130: 'bdbaa', 131: 'aacbba', 132: 'baccb', 133: 'adaa', 134: 'adca', 135: 'bcab', 136: 'bada', 137: 'bbab', 138: 'baaaaa', 139: 'bacbba', 140: 'caaab', 141: 'aacba', 142: 'bbac', 143: 'babaa', 144: 'dcc', 145: 'cad', 146: 'adb', 147: 'bbbc', 148: 'bdbc', 149: 'abab', 150: 'abaca', 151: 'caacb', 152: 'aaac', 153: 'cda', 154: 'adab', 155: 'adcac', 156: 'bbbbb', 157: 'cbdb', 158: 'bbaca', 159: 'adad', 160: 'babba', 161: 'cabb', 162: 'cbaa', 163: 'baacb', 164: 'aaaca', 165: 'dbabc', 166: 'aacca', 167: 'baaaaac', 168: 'bcda', 169: 'dbc', 170: 'badaa', 171: 'bcaa', 172: 'badab', 173: 'aababa', 174: 'abbacb', 175: 'aabc', 176: 'ddc', 177: 'bbabc', 178: 'abd', 179: 'abbcaa', 180: 'adcaa', 181: 'abdc', 182: 'abbbb', 183: 'abdb', 184: 'cbac', 185: 'bcdaa', 186: 'bababc', 187: 'aaaaa', 188: 'bdda', 189: 'abbbac', 190: 'cbcc', 191: 'babd', 192: 'abdca', 193: 'bbaa', 194: 'acaa', 195: 'caabb', 196: 'baaaaaa', 197: 'babaac', 198: 'cada', 199: 'bccd', 200: 'caca', 201: 'daac', 202: 'bcb', 203: 'aad', 204: 'aabcc', 205: 'ababc', 206: 'adcb', 207: 'aacaa', 208: 'caaaa', 209: 'bbba', 210: 'ccaac', 211: 'aaadaa', 212: 'abbacba', 213: 'baaaaaac', 214: 'baabca', 215: 'cadd', 216: 'acbbb', 217: 'baca', 218: 'abbbacd', 219: 'cabac', 220: 'bdbcc', 221: 'aaaad', 222: 'aadd', 223: 'adcaaa', 224: 'bbaba', 225: 'bbbd', 226: 'babaaa', 227: 'adbb', 228: 'acba', 229: 'ccd', 230: 'bdbaac', 231: 'abbbc', 232: 'abacb', 233: 'aabbcc', 234: 'adac', 235: 'bbbab', 236: 'dda', 237: 'aadc', 238: 'baabb', 239: 'adadb', 240: 'bdbaad', 241: 'cbabd', 242: 'cabaab', 243: 'bbd', 244: 'cbabc', 245: 'adb', 246: 'aabbac', 247: 'abbcd', 248: 'ccaa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'd': 0, 'c': 0, 'ab': 1, 'b': 0, 'bd': 3, 'ba': 3, 'bc': 3, 'cd': 5, 'aa': 1, 'aaa': 6, 'ca': 5, 'bac': 11, 'ad': 1, 'aac': 6, 'caa': 30, 'ac': 1, 'aba': 14, 'aaaa': 10, 'bb': 3, 'cc': 5, 'aaac': 10, 'bcd': 28, 'aca': 8, 'acd': 8, 'cac': 30, 'baa': 11, 'aad': 6, 'baab': 53, 'abab': 49, 'bab': 11, 'acb': 8, 'acc': 8, 'cb': 5, 'aacb': 12, 'bca': 28, 'cba': 35, 'abc': 14, 'bba': 7, 'acbd': 32, 'bbaa': 123, 'aaad': 10, 'bcab': 87, 'acdc': 150, 'acab': 68, 'acaa': 68, 'acbb': 92, 'aab': 6, 'cbac': 74, 'acaba': 35, 'baaba': 29, 'aaab': 10, 'acbc': 92, 'abaa': 49, 'baabc': 76, 'ada': 45, 'adb': 45, 'cbc': 35, 'abb': 14, 'da': 2, 'dc': 2, 'cad': 30, 'bbc': 20, 'bbac': 123, 'aabc': 17, 'acbcc': 94, 'abaac': 129, 'cca': 16, 'bbaca': 142, 'bcc': 28, 'bcb': 28, 'abcc': 9, 'db': 2, 'cbacb': 49, 'bccb': 70, 'aabd': 30, 'dab': 41, 'bbb': 7, 'babb': 20, 'dabb': 77, 'ababc': 149, 'baba': 20, 'acaaa': 46, 'aabb': 17, 'bbad': 31, 'dd': 2, 'aaadd': 42, 'bcbc': 48, 'cab': 30, 'cdc': 42, 'abccb': 72, 'babbd': 79, 'abaad': 54, 'cbcb': 58, 'ccb': 16, 'baac': 53, 'acaad': 46, 'ababa': 115, 'acaaab': 83, 'aadc': 203, 'baaa': 53, 'acca': 33, 'bccba': 75, 'dca': 38, 'dac': 41, 'aacc': 12, 'abac': 49, 'babaa': 29, 'aacbc': 103, 'cbacc': 49, 'cbaa': 74, 'abbb': 24, 'abaaca': 67, 'aabca': 65, 'cadb': 62, 'adbc': 57, 'bbaab': 41, 'acbcca': 66, 'cacb': 26, 'babab': 29, 'dda': 32, 'baabb': 76, 'bad': 11, 'baacb': 107, 'aadd': 203, 'aaacb': 22, 'bcaba': 43, 'bcba': 48, 'adad': 125, 'aaadb': 42, 'ddb': 86, 'aacba': 27, 'acda': 25, 'cacba': 119, 'abba': 24, 'abbba': 42, 'acdcc': 44, 'abcb': 9, 'cbd': 35, 'bacc': 13, 'acaac': 46, 'accaa': 102, 'bcabb': 43, 'ccac': 68, 'abcd': 38, 'abbbaa': 136, 'bbaaa': 41, 'dba': 54, 'bcaa': 87, 'baabaa': 51, 'bcbaa': 128, 'dbb': 54, 'abd': 14, 'aada': 28, 'bbbb': 9, 'dabc': 77, 'abaacb': 67, 'abaacab': 113, 'abda': 153, 'bbcb': 75, 'bdb': 26, 'bda': 26, 'aaacc': 62, 'abacc': 107, 'aaadda': 87, 'cda': 19, 'baad': 6, 'dbaa': 125, 'aabba': 61, 'abbc': 24, 'adac': 125, 'bcbb': 48, 'cdaa': 166, 'aaba': 17, 'caba': 43, 'dabba': 80, 'bdab': 162, 'bbaaac': 147, 'caad': 16, 'bcca': 70, 'bbcbb': 160, 'bbaac': 81, 'baccb': 95, 'abbab': 135, 'baaab': 73, 'bbab': 123, 'ddad': 121, 'daa': 41, 'abcca': 72, 'dabbb': 80, 'cbab': 74, 'abbbab': 136, 'bccbab': 103, 'aacbd': 35, 'bada': 25, 'acdac': 133, 'abaacc': 67, 'ddd': 87, 'bbbd': 9, 'aaccb': 106, 'dbc': 54, 'baabaab': 150, 'cbb': 21, 'aaaaa': 110, 'acabb': 45, 'dcc': 4, 'ababb': 30, 'abbaa': 62, 'bbcc': 63, 'daaa': 76, 'dcad': 104, 'dbab': 75, 'ccbd': 95, 'dbba': 152, 'cbaba': 52, 'bcbad': 128, 'dacd': 105, 'cbbd': 203, 'adc': 45, 'aabac': 91, 'aacbcb': 109, 'aaca': 12, 'acaab': 46, 'bdac': 36, 'bbacac': 69, 'aaaaab': 204, 'aadaa': 154, 'abbaac': 208, 'bbbc': 9, 'aabab': 91, 'caab': 37, 'dbac': 148, 'baacc': 96, 'cdd': 42, 'aabbc': 22, 'dbca': 201, 'adba': 57, 'aadca': 66, 'aaaaaba': 226, 'cbabc': 81, 'caaa': 37, 'aabbb': 22, 'babad': 29, 'bbbca': 229, 'aababb': 230, 'adab': 125, 'bcac': 34, 'abca': 38, 'aaaab': 26, 'cbba': 28, 'aaaac': 26, 'cdb': 19, 'cbbb': 28, 'bbd': 7, 'baaaa': 73, 'acabd': 35, 'aaabb': 72, 'aabcb': 45, 'abad': 27, 'ccad': 53, 'abadb': 64, 'bacb': 13, 'cabb': 43, 'bbba': 9, 'cbbc': 28, 'bdc': 37, 'acbbc': 40, 'baaad': 19, 'caac': 37, 'bdd': 26, 'aabaa': 57, 'ccbb': 80, 'baca': 13, 'ccab': 53, 'aaaba': 17, 'cabc': 70, 'baaaaa': 97, 'baaada': 91, 'dcd': 4, 'ccaba': 102, 'aaaca': 152, 'ccc': 16, 'cccc': 118, 'aaabbb': 60, 'bacac': 98, 'aacab': 24, 'caacb': 63, 'acabdc': 59, 'bdca': 86, 'cabaa': 115, 'dcb': 38, 'aabaab': 95, 'aaacab': 112, 'bbdc': 46, 'acabab': 114, 'aaabba': 60, 'babbb': 67, 'bbbaa': 82, 'aadb': 51, 'bcbcb': 99, 'bbca': 75, 'aaaaba': 29, 'bacaa': 98, 'adaa': 125, 'cbbca': 83, 'bddd': 93, 'adaac': 164, 'cabd': 70, 'accc': 15, 'cabaaa': 143, 'aacaa': 82, 'abbd': 97, 'acac': 16, 'abcbb': 162, 'cbca': 103, 'dcba': 144, 'cbcd': 101, 'dcbc': 144, 'aabad': 57, 'daba': 77, 'adaaa': 164, 'cdac': 56, 'aaada': 46, 'bdcac': 142, 'bdddb': 167, 'abcac': 25, 'cbdb': 117, 'bbbad': 82, 'acacd': 178, 'bbaba': 137, 'abaaa': 129, 'bcbbb': 120, 'dccb': 58, 'badaa': 136, 'aaacd': 62, 'badd': 85, 'babbc': 67, 'abaaab': 208, 'acba': 92, 'abbbc': 42, 'ababab': 127, 'adaacb': 170, 'baccc': 119, 'abadc': 64, 'ccba': 80, 'aaaabb': 29, 'abbbca': 217, 'bcaaa': 221, 'acdb': 150, 'bcacd': 121, 'abcab': 25, 'babbba': 153, 'cbdc': 113, 'aacbb': 27, 'bbabab': 206, 'caca': 61, 'bbbba': 126, 'aaadaa': 84, 'dbaaa': 135, 'aabbac': 74, 'abbcd': 174, 'ccaa': 18, 'aacd': 12, 'cccb': 23, 'bdbb': 31, 'aacdc': 33, 'cacc': 61, 'abbac': 62, 'bdba': 31, 'cccd': 23, 'aabbd': 22, 'caaca': 63, 'bacbb': 48, 'adcc': 50, 'cccdd': 78, 'cdbb': 79, 'babc': 20, 'abbca': 111, 'aabbcb': 121, 'baaac': 73, 'bdbaa': 77, 'aacbba': 40, 'adca': 50, 'bacbba': 96, 'caaab': 128, 'bdbc': 31, 'abaca': 88, 'adcac': 134, 'bbbbb': 101, 'babba': 122, 'dbabc': 104, 'aacca': 59, 'baaaaac': 138, 'bcda': 52, 'badab': 136, 'aababa': 108, 'abbacb': 70, 'ddc': 32, 'bbabc': 137, 'abbcaa': 120, 'adcaa': 134, 'abdc': 178, 'abbbb': 42, 'abdb': 178, 'bcdaa': 168, 'bababc': 56, 'bdda': 102, 'abbbac': 64, 'cbcc': 103, 'babd': 20, 'abdca': 181, 'caabb': 109, 'baaaaaa': 138, 'babaac': 143, 'cada': 145, 'bccd': 47, 'daac': 66, 'aabcc': 175, 'adcb': 50, 'caaaa': 128, 'ccaac': 80, 'abbacba': 174, 'baaaaaac': 196, 'baabca': 98, 'cadd': 145, 'acbbb': 114, 'abbbacd': 189, 'cabac': 115, 'bdbcc': 148, 'aaaad': 110, 'adcaaa': 180, 'babaaa': 143, 'adbb': 146, 'ccd': 16, 'bdbaac': 130, 'abacb': 88, 'aabbcc': 121, 'bbbab': 209, 'adadb': 159, 'bdbaad': 130, 'cbabd': 81, 'cabaab': 118}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3968\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  1000 symbols is  aadcbbaacbcbcdcbabbbccbabbcbbbcacabbbbaaabaaaabcaaabbbaaaaaaacaabcabbccbaacdcbabdaabccbaacacddabdcbaaaaabaabaabbaabbbababbbbbaaaabbabcdaaabaabaaabcabbbccabacdbabbaaaaaccbbaadddcdaadabaabadacbaaadbaaccdcccbaccabbadaaaaacdbbaaadbaabdaaaacadabccababbaabcabababbcbbcababdcacbbbbcdcdaccaaadacacbdaadbaccaabbacbabdcadbcacdaabbcbbdbadaaabababdaaadcbaabdabbccdaadacbacacccbaaacacaabbaaccacbaaaaaabbbbbaccabbdbcddbaaabccabacbaabbddbabdbbaccacbaaaabcaabaaaddabaaaabdbbabbdbdbbdbaadbbbbdabcacdcabbbbccdbcbbbcadacdbaccbbadababdcbacaabcaaabacbbcccaadabaaaadbbcbccbbacccdcbaacaddacabaadbaddacdbaaaabababbcaaaaacaaacaaacbccbdaacabcccbcdbccaaabaaaaaaaadaadacabaabadabbdcdacaaaaaacbbbabaabaababbacbdabaaaaaccaabdabbcabcbacdbbcbcbbbdbaacbbaababaadacbbaaacabaccabaaaababbabbcccaaadbaadbaababcbaacaaabcbcdccaddaaccacaacaabaaabcabcaabbbaaaabddbacbcaaaadadaababcbbaacbaaccbbcccacbaaabacaccabacbabbccabdbcdbabaccababcabcbabdbabbaaaabdcbababcabdabacccaaabadababdcadbacbbcabcbbbbdbcccbadbdacccbaacbabbbdacccababcbbbbabccabcac\n",
            "Entropy of the alphabet =  493.93180340130465 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'ad', 3: 'c', 4: 'b', 5: 'ba', 6: 'ac', 7: 'bc', 8: 'bcd', 9: 'cb', 10: 'ab', 11: 'bb', 12: 'cc', 13: 'bab', 14: 'bcb', 15: 'bbc', 16: 'aca', 17: 'bbb', 18: 'baa', 19: 'aba', 20: 'aa', 21: 'abc', 22: 'aaa', 23: 'bbba', 24: 'aaaa', 25: 'aac', 26: 'aab', 27: 'ca', 28: 'bbcc', 29: 'baac', 30: 'd', 31: 'cba', 32: 'bd', 33: 'aabc', 34: 'cbaa', 35: 'cac', 36: 'dd', 37: 'abd', 38: 'cbaaa', 39: 'aaba', 40: 'abaa', 41: 'bba', 42: 'abb', 43: 'baba', 44: 'bbbb', 45: 'baaa', 46: 'abba', 47: 'bcda', 48: 'aabaa', 49: 'baaab', 50: 'cab', 51: 'bbcca', 52: 'bac', 53: 'db', 54: 'abbaa', 55: 'aaac', 56: 'cbb', 57: 'aad', 58: 'ddc', 59: 'da', 60: 'ada', 61: 'baab', 62: 'adac', 63: 'baaad', 64: 'baacc', 65: 'dc', 66: 'ccb', 67: 'acc', 68: 'abbad', 69: 'aaaaa', 70: 'cd', 71: 'bbaa', 72: 'adb', 73: 'aabd', 74: 'aaaac', 75: 'adab', 76: 'cca', 77: 'babb', 78: 'aabca', 79: 'babab', 80: 'bcbb', 81: 'caba', 82: 'bdc', 83: 'acb', 84: 'bbbc', 85: 'dcd', 86: 'acca', 87: 'aada', 88: 'cacb', 89: 'daa', 90: 'dba', 91: 'ccaa', 92: 'bbac', 93: 'babd', 94: 'cad', 95: 'bca', 96: 'cda', 97: 'abbc', 98: 'bbd', 99: 'bad', 100: 'aaab', 101: 'abab', 102: 'daaa', 103: 'dcb', 104: 'aabda', 105: 'bbccd', 106: 'aadac', 107: 'baca', 108: 'ccc', 109: 'baaac', 110: 'acaa', 111: 'bbaac', 112: 'cacba', 113: 'aaaaab', 114: 'bbbba', 115: 'ccab', 116: 'bdb', 117: 'cdd', 118: 'baaabc', 119: 'cabac', 120: 'baabb', 121: 'ddb', 122: 'abdb', 123: 'bacc', 124: 'acba', 125: 'aaabc', 126: 'aabaaa', 127: 'dda', 128: 'baaaa', 129: 'bdbb', 130: 'abbd', 131: 'bdbbd', 132: 'baad', 133: 'bbbbd', 134: 'abca', 135: 'cdc', 136: 'abbb', 137: 'bcc', 138: 'dbc', 139: 'bbbca', 140: 'dac', 141: 'dbac', 142: 'cbba', 143: 'dab', 144: 'abdc', 145: 'bacaa', 146: 'bcaa', 147: 'abac', 148: 'bbccc', 149: 'aadab', 150: 'aaaad', 151: 'bbcb', 152: 'ccbb', 153: 'accc', 154: 'dcba', 155: 'acad', 156: 'daca', 157: 'baadb', 158: 'add', 159: 'acd', 160: 'baaaab', 161: 'ababb', 162: 'caa', 163: 'aaaca', 164: 'aaca', 165: 'aacb', 166: 'ccbd', 167: 'aacab', 168: 'cccb', 169: 'cdb', 170: 'ccaaa', 171: 'baaaaa', 172: 'aaad', 173: 'aadaca', 174: 'baaba', 175: 'dabb', 176: 'dcda', 177: 'caaa', 178: 'aaacb', 179: 'bbab', 180: 'aabaab', 181: 'abbac', 182: 'bda', 183: 'baaaaac', 184: 'caab', 185: 'dabbc', 186: 'abcb', 187: 'acdb', 188: 'bcbc', 189: 'bbbd', 190: 'baacb', 191: 'baabab', 192: 'aadacb', 193: 'baaaca', 194: 'bacca', 195: 'baaaaba', 196: 'bbabb', 197: 'ccca', 198: 'aadb', 199: 'aadba', 200: 'ababc', 201: 'baaca', 202: 'aabcb', 203: 'cdcc', 204: 'adda', 205: 'accac', 206: 'aacaa', 207: 'baaabca', 208: 'bcaab', 209: 'bbaaa', 210: 'abdd', 211: 'bacb', 212: 'caaaa', 213: 'dad', 214: 'aabab', 215: 'cbbaa', 216: 'cbaac', 217: 'cbbc', 218: 'ccac', 219: 'baaaba', 220: 'cacc', 221: 'abacb', 222: 'abbcc', 223: 'abdbc', 224: 'dbab', 225: 'accab', 226: 'abcab', 227: 'cbab', 228: 'dbabb', 229: 'aaaab', 230: 'dcbab', 231: 'abcabd', 232: 'abacc', 233: 'caaab', 234: 'adaba', 235: 'bdca', 236: 'dbacb', 237: 'bcab', 238: 'cbbb', 239: 'bdbc', 240: 'ccba', 241: 'dbd', 242: 'acccb', 243: 'aacba', 244: 'bbbda', 245: 'cccab', 246: 'abcbb', 247: 'bbabc', 248: 'cabc'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'd': 0, 'c': 0, 'ab': 1, 'b': 0, 'bd': 4, 'ba': 4, 'bc': 4, 'cd': 3, 'aa': 1, 'aaa': 20, 'ca': 3, 'bac': 5, 'ad': 1, 'aac': 20, 'caa': 27, 'ac': 1, 'aba': 10, 'aaaa': 22, 'bb': 4, 'cc': 3, 'aaac': 22, 'bcd': 7, 'aca': 6, 'acd': 6, 'cac': 27, 'baa': 5, 'aad': 20, 'baab': 18, 'abab': 19, 'bab': 5, 'acb': 6, 'acc': 6, 'cb': 3, 'aacb': 25, 'bca': 7, 'cba': 9, 'abc': 10, 'bba': 11, 'acbd': 32, 'bbaa': 41, 'aaad': 22, 'bcab': 95, 'acdc': 150, 'acab': 68, 'acaa': 16, 'acbb': 92, 'aab': 20, 'cbac': 74, 'acaba': 35, 'baaba': 61, 'aaab': 22, 'acbc': 92, 'abaa': 19, 'baabc': 76, 'ada': 2, 'adb': 2, 'cbc': 35, 'abb': 10, 'da': 30, 'dc': 30, 'cad': 27, 'bbc': 11, 'bbac': 41, 'aabc': 26, 'acbcc': 94, 'abaac': 129, 'cca': 12, 'bbaca': 142, 'bcc': 7, 'bcb': 7, 'abcc': 9, 'db': 30, 'cbacb': 49, 'bccb': 70, 'aabd': 26, 'dab': 59, 'bbb': 11, 'babb': 13, 'dabb': 143, 'ababc': 101, 'baba': 13, 'acaaa': 46, 'aabb': 17, 'bbad': 31, 'dd': 30, 'aaadd': 42, 'bcbc': 14, 'cab': 27, 'cdc': 70, 'abccb': 72, 'babbd': 79, 'abaad': 54, 'cbcb': 58, 'ccb': 12, 'baac': 18, 'acaad': 46, 'ababa': 115, 'acaaab': 83, 'aadc': 203, 'baaa': 18, 'acca': 67, 'bccba': 75, 'dca': 38, 'dac': 59, 'aacc': 12, 'abac': 19, 'babaa': 29, 'aacbc': 103, 'cbacc': 49, 'cbaa': 31, 'abbb': 42, 'abaaca': 67, 'aabca': 33, 'cadb': 62, 'adbc': 57, 'bbaab': 41, 'acbcca': 66, 'cacb': 35, 'babab': 43, 'dda': 36, 'baabb': 61, 'bad': 5, 'baacb': 29, 'aadd': 203, 'aaacb': 55, 'bcaba': 43, 'bcba': 48, 'adad': 125, 'aaadb': 42, 'ddb': 36, 'aacba': 165, 'acda': 25, 'cacba': 88, 'abba': 42, 'abbba': 42, 'acdcc': 44, 'abcb': 21, 'cbd': 35, 'bacc': 52, 'acaac': 46, 'accaa': 102, 'bcabb': 43, 'ccac': 76, 'abcd': 38, 'abbbaa': 136, 'bbaaa': 71, 'dba': 53, 'bcaa': 95, 'baabaa': 51, 'bcbaa': 128, 'dbb': 54, 'abd': 10, 'aada': 57, 'bbbb': 17, 'dabc': 77, 'abaacb': 67, 'abaacab': 113, 'abda': 153, 'bbcb': 15, 'bdb': 32, 'bda': 32, 'aaacc': 62, 'abacc': 147, 'aaadda': 87, 'cda': 70, 'baad': 18, 'dbaa': 125, 'aabba': 61, 'abbc': 42, 'adac': 60, 'bcbb': 14, 'cdaa': 166, 'aaba': 26, 'caba': 50, 'dabba': 80, 'bdab': 162, 'bbaaac': 147, 'caad': 16, 'bcca': 70, 'bbcbb': 160, 'bbaac': 71, 'baccb': 95, 'abbab': 135, 'baaab': 45, 'bbab': 41, 'ddad': 121, 'daa': 59, 'abcca': 72, 'dabbb': 80, 'cbab': 31, 'abbbab': 136, 'bccbab': 103, 'aacbd': 35, 'bada': 25, 'acdac': 133, 'abaacc': 67, 'ddd': 87, 'bbbd': 17, 'aaccb': 106, 'dbc': 53, 'baabaab': 150, 'cbb': 9, 'aaaaa': 24, 'acabb': 45, 'dcc': 4, 'ababb': 101, 'abbaa': 46, 'bbcc': 15, 'daaa': 89, 'dcad': 104, 'dbab': 90, 'ccbd': 66, 'dbba': 152, 'cbaba': 52, 'bcbad': 128, 'dacd': 105, 'cbbd': 203, 'adc': 45, 'aabac': 91, 'aacbcb': 109, 'aaca': 25, 'acaab': 46, 'bdac': 36, 'bbacac': 69, 'aaaaab': 69, 'aadaa': 154, 'abbaac': 208, 'bbbc': 17, 'aabab': 39, 'caab': 162, 'dbac': 90, 'baacc': 29, 'cdd': 70, 'aabbc': 22, 'dbca': 201, 'adba': 57, 'aadca': 66, 'aaaaaba': 226, 'cbabc': 81, 'caaa': 162, 'aabbb': 22, 'babad': 29, 'bbbca': 84, 'aababb': 230, 'adab': 60, 'bcac': 34, 'abca': 21, 'aaaab': 24, 'cbba': 56, 'aaaac': 24, 'cdb': 70, 'cbbb': 56, 'bbd': 11, 'baaaa': 45, 'acabd': 35, 'aaabb': 72, 'aabcb': 33, 'abad': 27, 'ccad': 53, 'abadb': 64, 'bacb': 52, 'cabb': 43, 'bbba': 17, 'cbbc': 56, 'bdc': 32, 'acbbc': 40, 'baaad': 45, 'caac': 37, 'bdd': 26, 'aabaa': 39, 'ccbb': 66, 'baca': 52, 'ccab': 76, 'aaaba': 17, 'cabc': 50, 'baaaaa': 128, 'baaada': 91, 'dcd': 65, 'ccaba': 102, 'aaaca': 55, 'ccc': 12, 'cccc': 118, 'aaabbb': 60, 'bacac': 98, 'aacab': 164, 'caacb': 63, 'acabdc': 59, 'bdca': 82, 'cabaa': 115, 'dcb': 65, 'aabaab': 48, 'aaacab': 112, 'bbdc': 46, 'acabab': 114, 'aaabba': 60, 'babbb': 67, 'bbbaa': 82, 'aadb': 57, 'bcbcb': 99, 'bbca': 75, 'aaaaba': 29, 'bacaa': 107, 'adaa': 125, 'cbbca': 83, 'bddd': 93, 'adaac': 164, 'cabd': 70, 'accc': 67, 'cabaaa': 143, 'aacaa': 164, 'abbd': 42, 'acac': 16, 'abcbb': 186, 'cbca': 103, 'dcba': 103, 'cbcd': 101, 'dcbc': 144, 'aabad': 57, 'daba': 77, 'adaaa': 164, 'cdac': 56, 'aaada': 46, 'bdcac': 142, 'bdddb': 167, 'abcac': 25, 'cbdb': 117, 'bbbad': 82, 'acacd': 178, 'bbaba': 137, 'abaaa': 129, 'bcbbb': 120, 'dccb': 58, 'badaa': 136, 'aaacd': 62, 'badd': 85, 'babbc': 67, 'abaaab': 208, 'acba': 83, 'abbbc': 42, 'ababab': 127, 'adaacb': 170, 'baccc': 119, 'abadc': 64, 'ccba': 66, 'aaaabb': 29, 'abbbca': 217, 'bcaaa': 221, 'acdb': 159, 'bcacd': 121, 'abcab': 134, 'babbba': 153, 'cbdc': 113, 'aacbb': 27, 'bbabab': 206, 'caca': 61, 'bbbba': 44, 'aaadaa': 84, 'dbaaa': 135, 'aabbac': 74, 'abbcd': 174, 'ccaa': 76, 'aacd': 12, 'cccb': 108, 'bdbb': 116, 'aacdc': 33, 'cacc': 35, 'abbac': 46, 'bdba': 31, 'cccd': 23, 'aabbd': 22, 'caaca': 63, 'bacbb': 48, 'adcc': 50, 'cccdd': 78, 'cdbb': 79, 'babc': 20, 'abbca': 111, 'aabbcb': 121, 'baaac': 45, 'bdbaa': 77, 'aacbba': 40, 'adca': 50, 'bacbba': 96, 'caaab': 177, 'bdbc': 116, 'abaca': 88, 'adcac': 134, 'bbbbb': 101, 'babba': 122, 'dbabc': 104, 'aacca': 59, 'baaaaac': 171, 'bcda': 8, 'badab': 136, 'aababa': 108, 'abbacb': 70, 'ddc': 36, 'bbabc': 179, 'abbcaa': 120, 'adcaa': 134, 'abdc': 37, 'abbbb': 42, 'abdb': 37, 'bcdaa': 168, 'bababc': 56, 'bdda': 102, 'abbbac': 64, 'cbcc': 103, 'babd': 13, 'abdca': 181, 'caabb': 109, 'baaaaaa': 138, 'babaac': 143, 'cada': 145, 'bccd': 47, 'daac': 66, 'aabcc': 175, 'adcb': 50, 'caaaa': 177, 'ccaac': 80, 'abbacba': 174, 'baaaaaac': 196, 'baabca': 98, 'cadd': 145, 'acbbb': 114, 'abbbacd': 189, 'cabac': 81, 'bdbcc': 148, 'aaaad': 24, 'adcaaa': 180, 'babaaa': 143, 'adbb': 146, 'ccd': 16, 'bdbaac': 130, 'abacb': 147, 'aabbcc': 121, 'bbbab': 209, 'adadb': 159, 'bdbaad': 130, 'cbabd': 81, 'cabaab': 118, 'cbaaa': 34, 'bbcca': 28, 'abbad': 46, 'aabda': 73, 'bbccd': 28, 'aadac': 87, 'baaabc': 49, 'aaabc': 100, 'aabaaa': 48, 'bdbbd': 129, 'bbbbd': 44, 'bbccc': 28, 'aadab': 87, 'acad': 16, 'daca': 140, 'baadb': 132, 'add': 2, 'baaaab': 128, 'ccaaa': 91, 'aadaca': 106, 'dcda': 85, 'dabbc': 175, 'baabab': 174, 'aadacb': 106, 'baaaca': 109, 'bacca': 123, 'baaaaba': 160, 'bbabb': 179, 'ccca': 108, 'aadba': 198, 'baaca': 29, 'cdcc': 135, 'adda': 158, 'accac': 86, 'baaabca': 118, 'bcaab': 146, 'abdd': 37, 'dad': 59, 'cbbaa': 142, 'cbaac': 34, 'baaaba': 49, 'abbcc': 97, 'abdbc': 122, 'accab': 86, 'dbabb': 224, 'dcbab': 154, 'abcabd': 226, 'adaba': 75, 'dbacb': 141, 'dbd': 53, 'acccb': 153, 'bbbda': 189, 'cccab': 197}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3968\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  1000 symbols is  aabcbcbbcaabbabccbabaaabcabccbaacbabcaaaabaaaabcbaaacbabbaaacbadbbbcacbacbbdcabbbbdaaaaabababbaaabcdcabdcbcabbbadaaabcaddbababaaaaacaabaaaadacaaabbabdcbdcaccabcccbbcabacccbcbaabbbbbbbadacbbacbddadaccaabcbaabbadcadcccacbadaacbaababccaccadaabbdacaadcbaabaabaabcabaaabacabadabccabababcbadabcdabbdaaabacabaaaacadababdababbcacabadaaacaadaaacbbababacabbbacacaadabdcbcbacaacabbccbaabacbbadbbabbbdbbacbbdddaaabaacbacbaaaaadaacdaccbcaabbbabcddaabbdbbbaadbababcdabadaacaaacaaaababaaaabccbcccadcadbbaccabbbcbbcababaccbcaaaaaacbbbaaaccacbaaaacbbbaabacadbadcaadcdccaacbabaabcabaaacabcbbadabbadbadacabbdcbbccbaacbbcacbccaaacdcddccaccdbaaadbcbcbbccdacbdbbababbbaccaacadabcbaabaaaababaaabdbacdaacaaaaacbbdccadacacbdbbabdacdaaabbcccaaaabcaacbaacaadacdbbcbaaaabdddcdaababbdbbdbabacbcaaaacbcabcbaabacababaabacbaabaaaaabdcbbcbaccaabacbcaadbbadabbbbaaaaadabcacbdcbaccdcaabcaaacdcbbcabcdccbaabaabdbbbbccccdaabbabdabbdcdaacddabdcadbaacaaaaabcbabcaaacacbcabaaadbabdbaaadcacabababbcbcbbacdbaabbbcabbabbdbabbbcabaadbabbbaababb\n",
            "Entropy of the alphabet =  493.93180340130465 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'ab', 3: 'c', 4: 'b', 5: 'cb', 6: 'bc', 7: 'aa', 8: 'bb', 9: 'abc', 10: 'cba', 11: 'ba', 12: 'aab', 13: 'ca', 14: 'bcc', 15: 'baa', 16: 'cbab', 17: 'caa', 18: 'aaba', 19: 'aaa', 20: 'bcb', 21: 'aaac', 22: 'bab', 23: 'baaa', 24: 'cbad', 25: 'bbb', 26: 'cac', 27: 'bac', 28: 'bbd', 29: 'cab', 30: 'bbbd', 31: 'aaaa', 32: 'aba', 33: 'babb', 34: 'aaab', 35: 'cd', 36: 'cabd', 37: 'cbc', 38: 'abb', 39: 'bad', 40: 'aaabc', 41: 'ad', 42: 'd', 43: 'baba', 44: 'baaaa', 45: 'ac', 46: 'aabaa', 47: 'aad', 48: 'aca', 49: 'aabb', 50: 'abd', 51: 'cbd', 52: 'cacc', 53: 'abcc', 54: 'cbb', 55: 'caba', 56: 'cc', 57: 'cbcb', 58: 'aabbb', 59: 'bbbb', 60: 'ada', 61: 'cbba', 62: 'cbdd', 63: 'adac', 64: 'caab', 65: 'cbaa', 66: 'bba', 67: 'dc', 68: 'adc', 69: 'cca', 70: 'cbada', 71: 'acb', 72: 'aabab', 73: 'ccac', 74: 'cad', 75: 'aabbd', 76: 'acaa', 77: 'dcb', 78: 'aabaab', 79: 'aabc', 80: 'abaa', 81: 'abac', 82: 'abad', 83: 'abcca', 84: 'babab', 85: 'cbadab', 86: 'cda', 87: 'bbda', 88: 'aabac', 89: 'abaaa', 90: 'acad', 91: 'abab', 92: 'da', 93: 'babbc', 94: 'acab', 95: 'adaa', 96: 'acaad', 97: 'aaacb', 98: 'bababa', 99: 'cabb', 100: 'baca', 101: 'caad', 102: 'abdc', 103: 'bcba', 104: 'caac', 105: 'abbc', 106: 'cbaab', 107: 'acbb', 108: 'adb', 109: 'babbb', 110: 'db', 111: 'bacb', 112: 'bd', 113: 'dd', 114: 'aaaba', 115: 'acba', 116: 'cbaaa', 117: 'aada', 118: 'acd', 119: 'acc', 120: 'bca', 121: 'abbb', 122: 'abcd', 123: 'daa', 124: 'bbdb', 125: 'bbaa', 126: 'dba', 127: 'babc', 128: 'dab', 129: 'adaac', 130: 'aaaca', 131: 'aaabab', 132: 'aaaab', 133: 'ccb', 134: 'ccc', 135: 'adca', 136: 'dbb', 137: 'acca', 138: 'bbbc', 139: 'bbc', 140: 'ababa', 141: 'ccbc', 142: 'aaaaa', 143: 'acbbb', 144: 'aaacc', 145: 'acbaa', 146: 'aac', 147: 'bbba', 148: 'abaca', 149: 'dbad', 150: 'caadc', 151: 'dcc', 152: 'aacb', 153: 'abaab', 154: 'cabaa', 155: 'acabc', 156: 'bbad', 157: 'abba', 158: 'dbada', 159: 'cabbd', 160: 'cbbc', 161: 'cbaac', 162: 'bbca', 163: 'cbcc', 164: 'aaacd', 165: 'cdd', 166: 'ccacc', 167: 'dbaa', 168: 'adbc', 169: 'bcbb', 170: 'ccd', 171: 'acbd', 172: 'bbab', 173: 'abbba', 174: 'ccaa', 175: 'cada', 176: 'bcbaa', 177: 'baaaab', 178: 'abaaab', 179: 'dbac', 180: 'daac', 181: 'aaaaac', 182: 'bbdc', 183: 'cadac', 184: 'acbdb', 185: 'babd', 186: 'acda', 187: 'aabbc', 188: 'ccaaa', 189: 'abca', 190: 'acbaac', 191: 'aadac', 192: 'dbbc', 193: 'baaaabd', 194: 'ddc', 195: 'daab', 196: 'abbd', 197: 'bbdba', 198: 'bacbc', 199: 'aaaac', 200: 'bcab', 201: 'cbaaba', 202: 'cabab', 203: 'aabacb', 204: 'aabaaa', 205: 'aabd', 206: 'cbbcb', 207: 'accaa', 208: 'bacbca', 209: 'adbb', 210: 'adab', 211: 'bbbaa', 212: 'aaad', 213: 'abcac', 214: 'bdc', 215: 'bacc', 216: 'dca', 217: 'abcaa', 218: 'acdc', 219: 'bbcab', 220: 'cdc', 221: 'cbaabaa', 222: 'bdb', 223: 'bbbcc', 224: 'ccda', 225: 'abbab', 226: 'dabb', 227: 'dcd', 228: 'aacd', 229: 'dabd', 230: 'cadb', 231: 'aaca', 232: 'aaaabc', 233: 'babca', 234: 'aacac', 235: 'bcaba', 236: 'aadb', 237: 'abdb', 238: 'aaadc', 239: 'acaba', 240: 'babbcb', 241: 'cbbac', 242: 'dbaab', 243: 'bbcabb', 244: 'abbdb', 245: 'abbbc', 246: 'abaad', 247: 'babbba', 248: 'ababb'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'd': 0, 'c': 0, 'ab': 1, 'b': 0, 'bd': 4, 'ba': 4, 'bc': 4, 'cd': 3, 'aa': 1, 'aaa': 7, 'ca': 3, 'bac': 11, 'ad': 1, 'aac': 7, 'caa': 13, 'ac': 1, 'aba': 2, 'aaaa': 19, 'bb': 4, 'cc': 3, 'aaac': 19, 'bcd': 7, 'aca': 45, 'acd': 45, 'cac': 13, 'baa': 11, 'aad': 7, 'baab': 18, 'abab': 32, 'bab': 11, 'acb': 45, 'acc': 45, 'cb': 3, 'aacb': 146, 'bca': 6, 'cba': 5, 'abc': 2, 'bba': 8, 'acbd': 71, 'bbaa': 66, 'aaad': 19, 'bcab': 120, 'acdc': 118, 'acab': 48, 'acaa': 48, 'acbb': 71, 'aab': 7, 'cbac': 74, 'acaba': 94, 'baaba': 61, 'aaab': 19, 'acbc': 92, 'abaa': 32, 'baabc': 76, 'ada': 41, 'adb': 41, 'cbc': 5, 'abb': 2, 'da': 42, 'dc': 42, 'cad': 13, 'bbc': 8, 'bbac': 41, 'aabc': 12, 'acbcc': 94, 'abaac': 129, 'cca': 56, 'bbaca': 142, 'bcc': 6, 'bcb': 6, 'abcc': 9, 'db': 42, 'cbacb': 49, 'bccb': 70, 'aabd': 12, 'dab': 92, 'bbb': 8, 'babb': 22, 'dabb': 128, 'ababc': 101, 'baba': 22, 'acaaa': 46, 'aabb': 12, 'bbad': 66, 'dd': 42, 'aaadd': 42, 'bcbc': 14, 'cab': 13, 'cdc': 35, 'abccb': 72, 'babbd': 79, 'abaad': 80, 'cbcb': 37, 'ccb': 56, 'baac': 18, 'acaad': 76, 'ababa': 91, 'acaaab': 83, 'aadc': 203, 'baaa': 15, 'acca': 119, 'bccba': 75, 'dca': 67, 'dac': 59, 'aacc': 12, 'abac': 32, 'babaa': 29, 'aacbc': 103, 'cbacc': 49, 'cbaa': 10, 'abbb': 38, 'abaaca': 67, 'aabca': 33, 'cadb': 74, 'adbc': 108, 'bbaab': 41, 'acbcca': 66, 'cacb': 35, 'babab': 43, 'dda': 36, 'baabb': 61, 'bad': 11, 'baacb': 29, 'aadd': 203, 'aaacb': 21, 'bcaba': 200, 'bcba': 20, 'adad': 125, 'aaadb': 42, 'ddb': 36, 'aacba': 165, 'acda': 118, 'cacba': 88, 'abba': 38, 'abbba': 121, 'acdcc': 44, 'abcb': 21, 'cbd': 5, 'bacc': 27, 'acaac': 46, 'accaa': 137, 'bcabb': 43, 'ccac': 69, 'abcd': 9, 'abbbaa': 136, 'bbaaa': 71, 'dba': 110, 'bcaa': 95, 'baabaa': 51, 'bcbaa': 103, 'dbb': 110, 'abd': 2, 'aada': 47, 'bbbb': 25, 'dabc': 77, 'abaacb': 67, 'abaacab': 113, 'abda': 153, 'bbcb': 15, 'bdb': 112, 'bda': 32, 'aaacc': 21, 'abacc': 147, 'aaadda': 87, 'cda': 35, 'baad': 18, 'dbaa': 126, 'aabba': 61, 'abbc': 38, 'adac': 60, 'bcbb': 20, 'cdaa': 166, 'aaba': 12, 'caba': 29, 'dabba': 80, 'bdab': 162, 'bbaaac': 147, 'caad': 17, 'bcca': 70, 'bbcbb': 160, 'bbaac': 71, 'baccb': 95, 'abbab': 157, 'baaab': 45, 'bbab': 66, 'ddad': 121, 'daa': 92, 'abcca': 53, 'dabbb': 80, 'cbab': 10, 'abbbab': 136, 'bccbab': 103, 'aacbd': 35, 'bada': 25, 'acdac': 133, 'abaacc': 67, 'ddd': 87, 'bbbd': 25, 'aaccb': 106, 'dbc': 53, 'baabaab': 150, 'cbb': 5, 'aaaaa': 31, 'acabb': 45, 'dcc': 67, 'ababb': 91, 'abbaa': 46, 'bbcc': 15, 'daaa': 89, 'dcad': 104, 'dbab': 90, 'ccbd': 66, 'dbba': 152, 'cbaba': 52, 'bcbad': 128, 'dacd': 105, 'cbbd': 203, 'adc': 41, 'aabac': 18, 'aacbcb': 109, 'aaca': 146, 'acaab': 46, 'bdac': 36, 'bbacac': 69, 'aaaaab': 69, 'aadaa': 154, 'abbaac': 208, 'bbbc': 25, 'aabab': 18, 'caab': 17, 'dbac': 126, 'baacc': 29, 'cdd': 35, 'aabbc': 49, 'dbca': 201, 'adba': 57, 'aadca': 66, 'aaaaaba': 226, 'cbabc': 81, 'caaa': 162, 'aabbb': 49, 'babad': 29, 'bbbca': 84, 'aababb': 230, 'adab': 60, 'bcac': 34, 'abca': 9, 'aaaab': 31, 'cbba': 54, 'aaaac': 31, 'cdb': 70, 'cbbb': 56, 'bbd': 8, 'baaaa': 23, 'acabd': 35, 'aaabb': 72, 'aabcb': 33, 'abad': 32, 'ccad': 53, 'abadb': 64, 'bacb': 27, 'cabb': 29, 'bbba': 25, 'cbbc': 54, 'bdc': 112, 'acbbc': 40, 'baaad': 45, 'caac': 17, 'bdd': 26, 'aabaa': 18, 'ccbb': 66, 'baca': 27, 'ccab': 76, 'aaaba': 34, 'cabc': 50, 'baaaaa': 128, 'baaada': 91, 'dcd': 67, 'ccaba': 102, 'aaaca': 21, 'ccc': 56, 'cccc': 118, 'aaabbb': 60, 'bacac': 98, 'aacab': 164, 'caacb': 63, 'acabdc': 59, 'bdca': 82, 'cabaa': 55, 'dcb': 67, 'aabaab': 46, 'aaacab': 112, 'bbdc': 28, 'acabab': 114, 'aaabba': 60, 'babbb': 33, 'bbbaa': 147, 'aadb': 47, 'bcbcb': 99, 'bbca': 139, 'aaaaba': 29, 'bacaa': 107, 'adaa': 60, 'cbbca': 83, 'bddd': 93, 'adaac': 95, 'cabd': 29, 'accc': 67, 'cabaaa': 143, 'aacaa': 164, 'abbd': 38, 'acac': 16, 'abcbb': 186, 'cbca': 103, 'dcba': 103, 'cbcd': 101, 'dcbc': 144, 'aabad': 57, 'daba': 77, 'adaaa': 164, 'cdac': 56, 'aaada': 46, 'bdcac': 142, 'bdddb': 167, 'abcac': 189, 'cbdb': 117, 'bbbad': 82, 'acacd': 178, 'bbaba': 137, 'abaaa': 80, 'bcbbb': 120, 'dccb': 58, 'badaa': 136, 'aaacd': 21, 'badd': 85, 'babbc': 33, 'abaaab': 89, 'acba': 71, 'abbbc': 121, 'ababab': 127, 'adaacb': 170, 'baccc': 119, 'abadc': 64, 'ccba': 66, 'aaaabb': 29, 'abbbca': 217, 'bcaaa': 221, 'acdb': 159, 'bcacd': 121, 'abcab': 134, 'babbba': 109, 'cbdc': 113, 'aacbb': 27, 'bbabab': 206, 'caca': 61, 'bbbba': 44, 'aaadaa': 84, 'dbaaa': 135, 'aabbac': 74, 'abbcd': 174, 'ccaa': 69, 'aacd': 146, 'cccb': 108, 'bdbb': 116, 'aacdc': 33, 'cacc': 26, 'abbac': 46, 'bdba': 31, 'cccd': 23, 'aabbd': 49, 'caaca': 63, 'bacbb': 48, 'adcc': 50, 'cccdd': 78, 'cdbb': 79, 'babc': 22, 'abbca': 111, 'aabbcb': 121, 'baaac': 45, 'bdbaa': 77, 'aacbba': 40, 'adca': 68, 'bacbba': 96, 'caaab': 177, 'bdbc': 116, 'abaca': 81, 'adcac': 134, 'bbbbb': 101, 'babba': 122, 'dbabc': 104, 'aacca': 59, 'baaaaac': 171, 'bcda': 8, 'badab': 136, 'aababa': 108, 'abbacb': 70, 'ddc': 113, 'bbabc': 179, 'abbcaa': 120, 'adcaa': 134, 'abdc': 50, 'abbbb': 42, 'abdb': 50, 'bcdaa': 168, 'bababc': 56, 'bdda': 102, 'abbbac': 64, 'cbcc': 37, 'babd': 22, 'abdca': 181, 'caabb': 109, 'baaaaaa': 138, 'babaac': 143, 'cada': 74, 'bccd': 47, 'daac': 123, 'aabcc': 175, 'adcb': 50, 'caaaa': 177, 'ccaac': 80, 'abbacba': 174, 'baaaaaac': 196, 'baabca': 98, 'cadd': 145, 'acbbb': 107, 'abbbacd': 189, 'cabac': 81, 'bdbcc': 148, 'aaaad': 24, 'adcaaa': 180, 'babaaa': 143, 'adbb': 108, 'ccd': 56, 'bdbaac': 130, 'abacb': 147, 'aabbcc': 121, 'bbbab': 209, 'adadb': 159, 'bdbaad': 130, 'cbabd': 81, 'cabaab': 118, 'cbaaa': 65, 'bbcca': 28, 'abbad': 46, 'aabda': 73, 'bbccd': 28, 'aadac': 117, 'baaabc': 49, 'aaabc': 34, 'aabaaa': 46, 'bdbbd': 129, 'bbbbd': 44, 'bbccc': 28, 'aadab': 87, 'acad': 48, 'daca': 140, 'baadb': 132, 'add': 2, 'baaaab': 44, 'ccaaa': 174, 'aadaca': 106, 'dcda': 85, 'dabbc': 175, 'baabab': 174, 'aadacb': 106, 'baaaca': 109, 'bacca': 123, 'baaaaba': 160, 'bbabb': 179, 'ccca': 108, 'aadba': 198, 'baaca': 29, 'cdcc': 135, 'adda': 158, 'accac': 86, 'baaabca': 118, 'bcaab': 146, 'abdd': 37, 'dad': 59, 'cbbaa': 142, 'cbaac': 65, 'baaaba': 49, 'abbcc': 97, 'abdbc': 122, 'accab': 86, 'dbabb': 224, 'dcbab': 154, 'abcabd': 226, 'adaba': 75, 'dbacb': 141, 'dbd': 53, 'acccb': 153, 'bbbda': 189, 'cccab': 197, 'cbad': 10, 'cbdd': 51, 'cbada': 24, 'cbadab': 70, 'bbda': 28, 'bababa': 84, 'cbaab': 65, 'bbdb': 28, 'aaabab': 114, 'ccbc': 133, 'acbaa': 115, 'dbad': 126, 'caadc': 101, 'abaab': 80, 'acabc': 94, 'dbada': 149, 'cabbd': 99, 'ccacc': 73, 'aaaaac': 142, 'cadac': 175, 'acbdb': 171, 'acbaac': 145, 'dbbc': 136, 'baaaabd': 177, 'daab': 123, 'bbdba': 124, 'bacbc': 111, 'cbaaba': 106, 'cabab': 55, 'aabacb': 88, 'cbbcb': 160, 'bacbca': 198, 'abcaa': 189, 'bbcab': 162, 'cbaabaa': 201, 'bbbcc': 138, 'ccda': 170, 'dabd': 128, 'aaaabc': 132, 'babca': 127, 'aacac': 231, 'aaadc': 212, 'babbcb': 93, 'cbbac': 61, 'dbaab': 167, 'bbcabb': 219, 'abbdb': 196}\n",
            "With LZ compression, the number of bits needed is ((NB)): 3968\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  16\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  3964.8\n",
            "The compression ratio relative to the ASCII code =  49.56 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***N = 2000***"
      ],
      "metadata": {
        "id": "fg7jx3hs5eeu"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sequence_size = 2000\n",
        "dictionary_contents = {}                    #Parsing data\n",
        "encoded_packets = {}                        #find the Encoded Packets\n",
        "sequence = []                               #sequence list\n",
        "\n",
        "NB_avg = 0\n",
        "\n",
        "for i in range(5):\n",
        "  generate_sequence(sequence_size, sequence)\n",
        "  find_entropy(sequence)\n",
        "  parsing_and_findEncodedPackets(dictionary_contents, encoded_packets)\n",
        "  NB_avg = NB_avg + find_NB(dictionary_contents, encoded_packets)\n",
        "  bits_per_phrase(encoded_packets)\n",
        "  print(\"---------------------------------------------------------------------------\\n\")\n",
        "  sequence.clear()\n",
        "\n",
        "NB_avg = NB_avg / 5\n",
        "\n",
        "print(\"NB_avg = \", NB_avg)\n",
        "commp_ratio(NB_avg, sequence_size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8eq5N7845geZ",
        "outputId": "34aae4d1-5540-4607-f74c-8617c31f9fae"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The random sequnce generated with size =  2000 symbols is  abddaabaaadbbaaaabaacacbcccadbccccaababbbacadaababaaccdbababbbaacbdbcacaccbcbdabcdbbaccabacbacabbabcaaccdaacbbaaabaabdbbbaaddbcbcbdbaabaaaacbbbbbdabababcbaabcbdabbcacacdaacabbbabababbbababbaabbaaaacacbccccbaabadcbbacbbdcaadabbbbbbbcacbabbbadcdbaccacbdbcabdbbaababccabadaddaacbaaaababaaabaabaabaaccaabacabdadabbcaaacbccddcbbaaaaacacaadacbbacaaaabbcbbccaabcbcccabaaaaaabaaabaabbbccbaaabaacbaadacacbbbaababbcaaddcbbabcabcbbbacaacacaaaaabaadababcadadcbdcaaaabdaabadbabadabbaabddcbbbbaaacbaadbaadabacacaadababbcbaacdcbdaabbaacdbacbcbabbbbbbccbbbacbbcacacacbaaaaabaaaabdaacbbadaacabadaaacdaacbadadbaaaaadbcbbbddbcbaabccbacadcbabcbadcabaaaabacdbccacabcbbdcabacbcccbabcaaabcbdbacacbabaaabacacabababaaacdcaaaaaabaaaaabcbabcbdabcbbcbbaacadbaaabaabcadcababccacbcabbaaababbcbabdbbabaaccacbdcbaacaabdcdaaaaaaacadcbdbbbcbaccbcaaaaadbaaaabbaabdbdbcabbabbbcaabcbcdcabaccacaaccacabcabaaaaabcabaacdabbacabbcbccbcaabadcbbbcaaaabdaabbdaaabcdbaaaadbbabccbcccaacaaaacabacacabacdbaaacccabaadbbcbacaabcadbaaababbaacddcacccbcccdadbcaadacbacccadabaabbbabbaabdbaaaddcbaddccaddadbdcbbcaaabbbacbabadbcbbaacacaadabcdabdaadbcadaaadbabadbdcacccdbabcaacaaacaddbbaaabccbabbacabadcabbabcacababaabcbddbdaacbaadadcbcbacbccaadbabbbabadabacbbadbbdacaaaccaccabbdcaacdbabbaaabcaabbabbaaccacacbccbcabccbdccacadaadcaaababaccbabbbbdadbabbaaaacaaaaabcaaabbabadbdacaacabdaaaaadacdababcdbabaaaacaabbaabdbdcccaaaabaaaaaaacbcabcbaacaaacababaabcbabadcdadbacbcaabaccabaabaaaaaaadddbabaaadcabbaaabbbabacabacbabdaaaabcaacbcbcaaaacabacaabaccbaddabbcbacaaadbaacbabbbccbaacbccabbbaabbbcababcbcdbdcaabbcbbbaabcabbbbbbbbdbbdbaabcbcdcbcacacdacaaaacaabaaaccbacbcacaaabbbbacaacababdccbbbbccbbbdaabbabbacacabaaaacaddbaacaabacccaababbccadbccaadadcabcaccbaaabcbbabbcbbadbcbadcaaadbbabcdbaabbdcaacaabbaaadbccabaabcbaccaaccbbbdbdcaacdabbddadbdababbbbbaaacbbaabbcaabdbbaabcbabbaaabdbadaaabbabaacaaababbbbabbadbdbaaccccbcccabdcccdccaabbdcbdbacbaaabdaddaacacabaaaaabcbcbdcbcbaabdbdaaccabbabbabbcacbaaaabbbadbdabdaaabccaabacaabacaddcbababbbbaaacbdbcdccaaadbbdbbacaabaaaa\n",
            "Entropy of the alphabet =  987.8636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'd', 4: 'da', 5: 'ab', 6: 'aa', 7: 'ad', 8: 'bb', 9: 'aaa', 10: 'aba', 11: 'ac', 12: 'acb', 13: 'c', 14: 'cc', 15: 'adb', 16: 'ccc', 17: 'ca', 18: 'abab', 19: 'bba', 20: 'cad', 21: 'aab', 22: 'abaa', 23: 'ccd', 24: 'ba', 25: 'bab', 26: 'bbaa', 27: 'cb', 28: 'db', 29: 'cac', 30: 'acc', 31: 'bc', 32: 'bd', 33: 'abc', 34: 'dbb', 35: 'acca', 36: 'bac', 37: 'baca', 38: 'bbab', 39: 'caa', 40: 'ccda', 41: 'acbb', 42: 'aaab', 43: 'aabd', 44: 'bbb', 45: 'aad', 46: 'dbc', 47: 'bcb', 48: 'dba', 49: 'abaaa', 50: 'acbbb', 51: 'bbd', 52: 'ababa', 53: 'bcba', 54: 'abcb', 55: 'dab', 56: 'bca', 57: 'cacd', 58: 'aac', 59: 'abb', 60: 'baba', 61: 'babb', 62: 'babab', 63: 'baa', 64: 'bbaaa', 65: 'aca', 66: 'cbc', 67: 'cccb', 68: 'aaba', 69: 'dc', 70: 'bbac', 71: 'bbdc', 72: 'aada', 73: 'bbbb', 74: 'bbbc', 75: 'acba', 76: 'bbba', 77: 'dcd', 78: 'bacc', 79: 'acbd', 80: 'bcab', 81: 'dbba', 82: 'ababc', 83: 'cab', 84: 'ada', 85: 'dd', 86: 'aacb', 87: 'aaaa', 88: 'babaa', 89: 'abaab', 90: 'aabaa', 91: 'cca', 92: 'abac', 93: 'abd', 94: 'adab', 95: 'bcaa', 96: 'acbc', 97: 'cd', 98: 'dcb', 99: 'baaa', 100: 'aaca', 101: 'caad', 102: 'acbba', 103: 'caaa', 104: 'abbc', 105: 'bbc', 106: 'caab', 107: 'cbcc', 108: 'caba', 109: 'aaaaa', 110: 'baaab', 111: 'aabb', 112: 'bcc', 113: 'baaaba', 114: 'acbaa', 115: 'dac', 116: 'acbbba', 117: 'ababb', 118: 'caadd', 119: 'cbb', 120: 'abca', 121: 'bcbb', 122: 'bacaa', 123: 'caca', 124: 'aaaab', 125: 'aadab', 126: 'abcad', 127: 'adc', 128: 'bdc', 129: 'aaaabd', 130: 'aabad', 131: 'babad', 132: 'abba', 133: 'abdd', 134: 'cbbb', 135: 'baaac', 136: 'baad', 137: 'baada', 138: 'bacac', 139: 'aadaba', 140: 'bbcb', 141: 'aacd', 142: 'cbd', 143: 'aabba', 144: 'acd', 145: 'bacb', 146: 'cba', 147: 'bbbbb', 148: 'bccb', 149: 'bbacb', 150: 'bcac', 151: 'acac', 152: 'baaaa', 153: 'abaaaa', 154: 'bda', 155: 'acbbad', 156: 'aacab', 157: 'adaa', 158: 'acda', 159: 'acbad', 160: 'adba', 161: 'aaaad', 162: 'bcbbb', 163: 'ddb', 164: 'cbaa', 165: 'bccba', 166: 'cadc', 167: 'babc', 168: 'bad', 169: 'cabaa', 170: 'aabac', 171: 'dbcc', 172: 'acab', 173: 'cbbd', 174: 'cabac', 175: 'bccc', 176: 'babca', 177: 'aabc', 178: 'bdb', 179: 'acacb', 180: 'abaaab', 181: 'acaca', 182: 'bababa', 183: 'aacdc', 184: 'aaaaaa', 185: 'baaaaa', 186: 'bcbab', 187: 'cbda', 188: 'bcbbc', 189: 'bbaac', 190: 'adbaa', 191: 'abaabc', 192: 'adca', 193: 'babcc', 194: 'acbca', 195: 'bbaaab', 196: 'abbcb', 197: 'abdb', 198: 'babaac', 199: 'cacb', 200: 'dcba', 201: 'acaa', 202: 'bdcd', 203: 'aaaaaaa', 204: 'cadcb', 205: 'dbbb', 206: 'cbac', 207: 'cbca', 208: 'aaaadb', 209: 'aaaabb', 210: 'aabdb', 211: 'dbca', 212: 'bbabb', 213: 'bcaab', 214: 'cbcd', 215: 'cabacc', 216: 'acaac', 217: 'cacab', 218: 'cabaaa', 219: 'aabca', 220: 'baac', 221: 'dabb', 222: 'acabb', 223: 'cbccb', 224: 'caaba', 225: 'dcbb', 226: 'bcaaa', 227: 'abda', 228: 'abbd', 229: 'aaabc', 230: 'dbaa', 231: 'aadb', 232: 'babccb', 233: 'ccca', 234: 'acaaa', 235: 'acaba', 236: 'cacaba', 237: 'cdb', 238: 'aaac', 239: 'ccab', 240: 'aadbb', 241: 'cbaca', 242: 'abcadb', 243: 'aaaba', 244: 'bbaacd', 245: 'dca', 246: 'cccbc', 247: 'ccdad', 248: 'bcaad', 249: 'acbac', 250: 'ccad', 251: 'abaabb', 252: 'babba', 253: 'abdba', 254: 'aadd', 255: 'cbad', 256: 'dcc', 257: 'add', 258: 'adbd', 259: 'cbbc', 260: 'aaabb', 261: 'bacba', 262: 'badb', 263: 'cbba', 264: 'acacaa', 265: 'dabc', 266: 'dabd', 267: 'aadbc', 268: 'adaaa', 269: 'dbab', 270: 'adbdc', 271: 'accc', 272: 'dbabc', 273: 'aacaa', 274: 'acad', 275: 'dbbaa', 276: 'abcc', 277: 'babbac', 278: 'abad', 279: 'cabb', 280: 'abcac', 281: 'ababaa', 282: 'bcbd', 283: 'dbd', 284: 'aacba', 285: 'adad', 286: 'cbcb', 287: 'acbcc', 288: 'aadba', 289: 'bbbab', 290: 'adaba', 291: 'cbbad', 292: 'bbda', 293: 'caaac', 294: 'cacc', 295: 'abbdc', 296: 'aacdb', 297: 'abbaa', 298: 'abcaa', 299: 'bbabba', 300: 'accac', 301: 'acbccb', 302: 'cabc', 303: 'cbdc', 304: 'cacad', 305: 'aadc', 306: 'aaabab', 307: 'accb', 308: 'abbb', 309: 'bdad', 310: 'babbaa', 311: 'aacaaa', 312: 'aabcaa', 313: 'abbab', 314: 'adbda', 315: 'caac', 316: 'abdaa', 317: 'aaad', 318: 'acdab', 319: 'abcd', 320: 'babaaa', 321: 'acaab', 322: 'baab', 323: 'dbdc', 324: 'ccaa', 325: 'aabaaa', 326: 'aaaac', 327: 'bcabc', 328: 'baaca', 329: 'aacaba', 330: 'baabc', 331: 'babadc', 332: 'dad', 333: 'bacbc', 334: 'aabacc', 335: 'abaaba', 336: 'aaaaaad', 337: 'ddba', 338: 'baaad', 339: 'cabba', 340: 'aabbb', 341: 'abaca', 342: 'bacbab', 343: 'daa', 344: 'aabcaac', 345: 'bcbc', 346: 'aaaaca', 347: 'bacaab', 348: 'accba', 349: 'dda', 350: 'bbcba', 351: 'caaad', 352: 'baacb', 353: 'abbbc', 354: 'cbaac', 355: 'bcca', 356: 'bbbaa', 357: 'bbbca', 358: 'babcb', 359: 'cdbd', 360: 'caabb', 361: 'cbbba', 362: 'abcab', 363: 'bbbbbb', 364: 'bdbb', 365: 'dbaab', 366: 'cbcdc', 367: 'bcaca', 368: 'cda', 369: 'caaaa', 370: 'caabaa', 371: 'accbac', 372: 'bcacaa', 373: 'abbbb', 374: 'acaaca', 375: 'babd', 376: 'ccb', 377: 'bbbcc', 378: 'bbbd', 379: 'aabbab', 380: 'bacaca', 381: 'baaaac', 382: 'addb', 383: 'aacaab', 384: 'accca', 385: 'ababbc', 386: 'cadb', 387: 'ccaad', 388: 'adcab', 389: 'caccb', 390: 'aaabcb', 391: 'babbc', 392: 'bbad', 393: 'bcbad', 394: 'caaadb', 395: 'babcd', 396: 'baabb', 397: 'dcaa', 398: 'caabba', 399: 'aadbcc', 400: 'abaabcb', 401: 'accaa', 402: 'ccbb', 403: 'bdbd', 404: 'caacd', 405: 'abbdd', 406: 'adbdab', 407: 'abbbbb', 408: 'aaacb', 409: 'baabbc', 410: 'aabdbb', 411: 'aabcb', 412: 'abbaaa', 413: 'bdba', 414: 'daaa', 415: 'bbaba', 416: 'acaaab', 417: 'abbbba', 418: 'bbadb', 419: 'dbaac', 420: 'cccbcc', 421: 'cabd', 422: 'cccd', 423: 'ccaab', 424: 'bdcb', 425: 'dbac', 426: 'baaabd', 427: 'adda', 428: 'acacab', 429: 'aaaaab', 430: 'cbcbd', 431: 'cbcba', 432: 'abdbd', 433: 'aacc', 434: 'abbabb', 435: 'abbca', 436: 'cbaaa', 437: 'abbba', 438: 'dbda', 439: 'bdaa', 440: 'abcca', 441: 'abacaa', 442: 'bacad', 443: 'dcbab', 444: 'abbbbaa', 445: 'acbdb', 446: 'cdc', 447: 'caaadbb', 448: 'dbbac', 449: 'aabaaaa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'd': 0, 'da': 3, 'ab': 1, 'aa': 1, 'ad': 1, 'bb': 2, 'aaa': 6, 'aba': 5, 'ac': 1, 'acb': 11, 'c': 0, 'cc': 13, 'adb': 7, 'ccc': 14, 'ca': 13, 'abab': 10, 'bba': 8, 'cad': 17, 'aab': 6, 'abaa': 10, 'ccd': 14, 'ba': 2, 'bab': 24, 'bbaa': 19, 'cb': 13, 'db': 3, 'cac': 17, 'acc': 11, 'bc': 2, 'bd': 2, 'abc': 5, 'dbb': 28, 'acca': 30, 'bac': 24, 'baca': 36, 'bbab': 19, 'caa': 17, 'ccda': 23, 'acbb': 12, 'aaab': 9, 'aabd': 21, 'bbb': 8, 'aad': 6, 'dbc': 28, 'bcb': 31, 'dba': 28, 'abaaa': 22, 'acbbb': 41, 'bbd': 8, 'ababa': 18, 'bcba': 47, 'abcb': 33, 'dab': 4, 'bca': 31, 'cacd': 29, 'aac': 6, 'abb': 5, 'baba': 25, 'babb': 25, 'babab': 60, 'baa': 24, 'bbaaa': 26, 'aca': 11, 'cbc': 27, 'cccb': 16, 'aaba': 21, 'dc': 3, 'bbac': 19, 'bbdc': 51, 'aada': 45, 'bbbb': 44, 'bbbc': 44, 'acba': 12, 'bbba': 44, 'dcd': 69, 'bacc': 36, 'acbd': 12, 'bcab': 56, 'dbba': 34, 'ababc': 18, 'cab': 17, 'ada': 7, 'dd': 3, 'aacb': 58, 'aaaa': 9, 'babaa': 60, 'abaab': 22, 'aabaa': 68, 'cca': 14, 'abac': 10, 'abd': 5, 'adab': 84, 'bcaa': 56, 'acbc': 12, 'cd': 13, 'dcb': 69, 'baaa': 63, 'aaca': 58, 'caad': 39, 'acbba': 41, 'caaa': 39, 'abbc': 59, 'bbc': 8, 'caab': 39, 'cbcc': 66, 'caba': 83, 'aaaaa': 87, 'baaab': 99, 'aabb': 21, 'bcc': 31, 'baaaba': 110, 'acbaa': 75, 'dac': 4, 'acbbba': 50, 'ababb': 18, 'caadd': 101, 'cbb': 27, 'abca': 33, 'bcbb': 47, 'bacaa': 37, 'caca': 29, 'aaaab': 87, 'aadab': 72, 'abcad': 120, 'adc': 7, 'bdc': 32, 'aaaabd': 124, 'aabad': 68, 'babad': 60, 'abba': 59, 'abdd': 93, 'cbbb': 119, 'baaac': 99, 'baad': 63, 'baada': 136, 'bacac': 37, 'aadaba': 125, 'bbcb': 105, 'aacd': 58, 'cbd': 27, 'aabba': 111, 'acd': 11, 'bacb': 36, 'cba': 27, 'bbbbb': 73, 'bccb': 112, 'bbacb': 70, 'bcac': 56, 'acac': 65, 'baaaa': 99, 'abaaaa': 49, 'bda': 32, 'acbbad': 102, 'aacab': 100, 'adaa': 84, 'acda': 144, 'acbad': 75, 'adba': 15, 'aaaad': 87, 'bcbbb': 121, 'ddb': 85, 'cbaa': 146, 'bccba': 148, 'cadc': 20, 'babc': 25, 'bad': 24, 'cabaa': 108, 'aabac': 68, 'dbcc': 46, 'acab': 65, 'cbbd': 119, 'cabac': 108, 'bccc': 112, 'babca': 167, 'aabc': 21, 'bdb': 32, 'acacb': 151, 'abaaab': 49, 'acaca': 151, 'bababa': 62, 'aacdc': 141, 'aaaaaa': 109, 'baaaaa': 152, 'bcbab': 53, 'cbda': 142, 'bcbbc': 121, 'bbaac': 26, 'adbaa': 160, 'abaabc': 89, 'adca': 127, 'babcc': 167, 'acbca': 96, 'bbaaab': 64, 'abbcb': 104, 'abdb': 93, 'babaac': 88, 'cacb': 29, 'dcba': 98, 'acaa': 65, 'bdcd': 128, 'aaaaaaa': 184, 'cadcb': 166, 'dbbb': 34, 'cbac': 146, 'cbca': 66, 'aaaadb': 161, 'aaaabb': 124, 'aabdb': 43, 'dbca': 46, 'bbabb': 38, 'bcaab': 95, 'cbcd': 66, 'cabacc': 174, 'acaac': 201, 'cacab': 123, 'cabaaa': 169, 'aabca': 177, 'baac': 63, 'dabb': 55, 'acabb': 172, 'cbccb': 107, 'caaba': 106, 'dcbb': 98, 'bcaaa': 95, 'abda': 93, 'abbd': 59, 'aaabc': 42, 'dbaa': 48, 'aadb': 45, 'babccb': 193, 'ccca': 16, 'acaaa': 201, 'acaba': 172, 'cacaba': 217, 'cdb': 97, 'aaac': 9, 'ccab': 91, 'aadbb': 231, 'cbaca': 206, 'abcadb': 126, 'aaaba': 42, 'bbaacd': 189, 'dca': 69, 'cccbc': 67, 'ccdad': 40, 'bcaad': 95, 'acbac': 75, 'ccad': 91, 'abaabb': 89, 'babba': 61, 'abdba': 197, 'aadd': 45, 'cbad': 146, 'dcc': 69, 'add': 7, 'adbd': 15, 'cbbc': 119, 'aaabb': 42, 'bacba': 145, 'badb': 168, 'cbba': 119, 'acacaa': 181, 'dabc': 55, 'dabd': 55, 'aadbc': 231, 'adaaa': 157, 'dbab': 48, 'adbdc': 258, 'accc': 30, 'dbabc': 269, 'aacaa': 100, 'acad': 65, 'dbbaa': 81, 'abcc': 33, 'babbac': 252, 'abad': 10, 'cabb': 83, 'abcac': 120, 'ababaa': 52, 'bcbd': 47, 'dbd': 28, 'aacba': 86, 'adad': 84, 'cbcb': 66, 'acbcc': 96, 'aadba': 231, 'bbbab': 76, 'adaba': 94, 'cbbad': 263, 'bbda': 51, 'caaac': 103, 'cacc': 29, 'abbdc': 228, 'aacdb': 141, 'abbaa': 132, 'abcaa': 120, 'bbabba': 212, 'accac': 35, 'acbccb': 287, 'cabc': 83, 'cbdc': 142, 'cacad': 123, 'aadc': 45, 'aaabab': 243, 'accb': 30, 'abbb': 59, 'bdad': 154, 'babbaa': 252, 'aacaaa': 273, 'aabcaa': 219, 'abbab': 132, 'adbda': 258, 'caac': 39, 'abdaa': 227, 'aaad': 9, 'acdab': 158, 'abcd': 33, 'babaaa': 88, 'acaab': 201, 'baab': 63, 'dbdc': 283, 'ccaa': 91, 'aabaaa': 90, 'aaaac': 87, 'bcabc': 80, 'baaca': 220, 'aacaba': 156, 'baabc': 322, 'babadc': 131, 'dad': 4, 'bacbc': 145, 'aabacc': 170, 'abaaba': 89, 'aaaaaad': 184, 'ddba': 163, 'baaad': 99, 'cabba': 279, 'aabbb': 111, 'abaca': 92, 'bacbab': 261, 'daa': 4, 'aabcaac': 312, 'bcbc': 47, 'aaaaca': 326, 'bacaab': 122, 'accba': 307, 'dda': 85, 'bbcba': 140, 'caaad': 103, 'baacb': 220, 'abbbc': 308, 'cbaac': 164, 'bcca': 112, 'bbbaa': 76, 'bbbca': 74, 'babcb': 167, 'cdbd': 237, 'caabb': 106, 'cbbba': 134, 'abcab': 120, 'bbbbbb': 147, 'bdbb': 178, 'dbaab': 230, 'cbcdc': 214, 'bcaca': 150, 'cda': 97, 'caaaa': 103, 'caabaa': 224, 'accbac': 348, 'bcacaa': 367, 'abbbb': 308, 'acaaca': 216, 'babd': 25, 'ccb': 14, 'bbbcc': 74, 'bbbd': 44, 'aabbab': 143, 'bacaca': 138, 'baaaac': 152, 'addb': 257, 'aacaab': 273, 'accca': 271, 'ababbc': 117, 'cadb': 20, 'ccaad': 324, 'adcab': 192, 'caccb': 294, 'aaabcb': 229, 'babbc': 61, 'bbad': 19, 'bcbad': 53, 'caaadb': 351, 'babcd': 167, 'baabb': 322, 'dcaa': 245, 'caabba': 360, 'aadbcc': 267, 'abaabcb': 191, 'accaa': 35, 'ccbb': 376, 'bdbd': 178, 'caacd': 315, 'abbdd': 228, 'adbdab': 314, 'abbbbb': 373, 'aaacb': 238, 'baabbc': 396, 'aabdbb': 210, 'aabcb': 177, 'abbaaa': 297, 'bdba': 178, 'daaa': 343, 'bbaba': 38, 'acaaab': 234, 'abbbba': 373, 'bbadb': 392, 'dbaac': 230, 'cccbcc': 246, 'cabd': 83, 'cccd': 16, 'ccaab': 324, 'bdcb': 128, 'dbac': 48, 'baaabd': 110, 'adda': 257, 'acacab': 181, 'aaaaab': 109, 'cbcbd': 286, 'cbcba': 286, 'abdbd': 197, 'aacc': 58, 'abbabb': 313, 'abbca': 104, 'cbaaa': 164, 'abbba': 308, 'dbda': 283, 'bdaa': 154, 'abcca': 276, 'abacaa': 341, 'bacad': 37, 'dcbab': 200, 'abbbbaa': 417, 'acbdb': 79, 'cdc': 97, 'caaadbb': 394, 'dbbac': 81, 'aabaaaa': 325}\n",
            "With LZ compression, the number of bits needed is ((NB)): 7633\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  17\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  2000 symbols is  dcbcbcbaaabddaabaaaabbaccbabdbabbbacaccdacaacaabdbadaabcacbacdabdbacabadacbdbccbababdbacabbcaadbadaddcaccbbbdabbadadaaaaaaaabbaabdaabaaacdddbccaabacbabaaaaadabcaaadacbdbcabbacdadadcbbcbaccbaacbdadaaabacdbaaaaadbcacbabbdbccaaaacabdbabccbbbcacbbabbbabbaaabaaabaacdabbaacbcbcabcbddacbbbbcbbaccbbbcbabbaaabdbbcbabaabbdbabcddccbccaacabbcababbabadddbacaaadbbbabaaaacaacbbacaabbabdcbdbabaaadbaabaaaabcbcbadaddbababacbcabaabcaabcaabaabcababdaaaaaaacabbaadccacdaaacaadbdabadcbbabcbbccabdaacaaaaacadacaccbcccaaabcabbacaddbbbbcaaaacdcbdbaaabaabacbbacbbbdaabbabbbcdccccbabbcacbacadcababddbaaccbaadcaadaabbdbaaababcbbbaabbbdbbabdabcacadbbcbcacabaaaadaabadacacaaaabbaabcbbbabbbdccadcaadbabbadaababbabbbabbcbdbaddabbabaadcddbaababbbcbabbabababacbaaadadbaaacbababaaabbbabbccbcaabcbaaabcbcacbdcbcbbbbdbcabaddabaabbbacababccccbaaaccabcaacccaadccabbaacaaacbaccbacbaacabaccaaccadbdcaadcccdaaacbabbbaabacbcbaabcdccaacaabacccaaaabababcaacbdaaabaabbcbcbabcacbacbbcdacbadbabaaaaababbaaaabaacbabbdaddbbcdbdccabaaaaccaadcbcbbbacaabbabbdaabaabaadabcbabcacbbbdaaacabbcdcabaabaaacababbcbcccadaccbcbabccbdcccacbaaaaadaabbccbdbbabbcbddaaabbcbdcdbdbaaaababaacbbcacbcadbacdabccbaacbcaabdaaacaaababacbaaacdadaaacbbbdaabbbbbbccadbaabaabcdaaababbbcbdcaaccaabadcabadcbbdbacaabacaaaaababadaacbadbabbadaaaabacabaaabcadaaaacbacccccbbbaacbbbcdbacaaacacbcabdabadbbdbbacaacdbdcaacddbbdbddbaacbdcdabacdababcbaaddbaabcdadacabcabbccaaaabbabaacaacabababacabacbabaabbacbacbdbabacaccdacdcaabacbcccabdacacbabcacacccaabdbaabbacbbdaaacbababacbaababaabaabcbdabbacaacaaacaccabacaddabbacdbbbacabaaabbbbcbbaaacabaabdaccdbaacabbdaabaacbbacacaabcbaabbbaacaaacabcaaaaabbaababcaaaaabcaadbbbadbbcdabaaacaabcacbababbbabbaccaaddadadcdbcdaaccababaababccbbaaaabacaaacabbabaacaabababbaaadbbbacaaabacbadbcbbbaaaabbabbdabdcccacbabdabacaaaccabcaabcadbccabbcaddaaabaabaacacbbadccabcbcacbccdcaaabdcadcccbababaaaaadabaaaccdbabdcbabaaaaaabacbccbabaccbcbacacbaadcbcbcabcbccaababacababbdaacaababcccbaabbacaaaacabbcccdbbccacadaacaaaaabbbbbabcaadbcaccbbaadaaaabaababdabdccbcbaa\n",
            "Entropy of the alphabet =  987.8636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'd', 2: 'c', 3: 'b', 4: 'cb', 5: 'cba', 6: 'a', 7: 'ab', 8: 'dd', 9: 'aa', 10: 'ba', 11: 'aaa', 12: 'bb', 13: 'ac', 14: 'cbab', 15: 'db', 16: 'abb', 17: 'bac', 18: 'acc', 19: 'da', 20: 'ca', 21: 'aca', 22: 'abd', 23: 'bad', 24: 'aab', 25: 'cac', 26: 'bacd', 27: 'abdb', 28: 'acab', 29: 'ad', 30: 'acb', 31: 'dbc', 32: 'cbaba', 33: 'bd', 34: 'baca', 35: 'bbc', 36: 'aad', 37: 'bada', 38: 'ddc', 39: 'accb', 40: 'bbd', 41: 'abba', 42: 'dad', 43: 'aaaa', 44: 'aaaab', 45: 'baa', 46: 'bda', 47: 'aba', 48: 'aac', 49: 'ddd', 50: 'bc', 51: 'caa', 52: 'bacb', 53: 'abaa', 54: 'aaad', 55: 'abc', 56: 'aaada', 57: 'cbd', 58: 'bca', 59: 'bba', 60: 'cd', 61: 'ada', 62: 'dc', 63: 'bbcb', 64: 'accba', 65: 'acbd', 66: 'adaa', 67: 'abac', 68: 'dba', 69: 'aaaad', 70: 'bcac', 71: 'bab', 72: 'bdb', 73: 'cc', 74: 'aaaac', 75: 'abdba', 76: 'bcc', 77: 'bbb', 78: 'cacb', 79: 'babb', 80: 'babba', 81: 'aaba', 82: 'aabaa', 83: 'cda', 84: 'bbaa', 85: 'cbc', 86: 'bcab', 87: 'cbdd', 88: 'acbb', 89: 'bbcbb', 90: 'accbb', 91: 'bcb', 92: 'abbaa', 93: 'abdbb', 94: 'cbabaa', 95: 'bbdb', 96: 'abcd', 97: 'dcc', 98: 'bcca', 99: 'acabb', 100: 'cab', 101: 'abbab', 102: 'add', 103: 'dbac', 104: 'aaadb', 105: 'bbab', 106: 'aaaaca', 107: 'acbba', 108: 'caab', 109: 'babd', 110: 'cbdb', 111: 'abaaa', 112: 'dbaa', 113: 'baaa', 114: 'abcb', 115: 'cbad', 116: 'addb', 117: 'abab', 118: 'acbc', 119: 'abaab', 120: 'caabc', 121: 'aabaab', 122: 'caba', 123: 'bdaa', 124: 'aaaaa', 125: 'cabb', 126: 'aadc', 127: 'cacd', 128: 'aaac', 129: 'aadb', 130: 'dab', 131: 'adc', 132: 'bbabc', 133: 'bbcc', 134: 'abda', 135: 'acaa', 136: 'aaaca', 137: 'dac', 138: 'accbc', 139: 'cca', 140: 'aabc', 141: 'abbac', 142: 'addbb', 143: 'bbca', 144: 'aaacd', 145: 'cbdba', 146: 'aabaaba', 147: 'cbb', 148: 'acbbb', 149: 'daa', 150: 'bbabb', 151: 'bcd', 152: 'ccc', 153: 'cbabb', 154: 'cacba', 155: 'cad', 156: 'cabab', 157: 'ddb', 158: 'aacc', 159: 'baad', 160: 'caad', 161: 'aabb', 162: 'dbaaa', 163: 'babc', 164: 'bbba', 165: 'abbb', 166: 'dbb', 167: 'abdab', 168: 'caca', 169: 'dbbc', 170: 'bcaca', 171: 'baaaa', 172: 'daab', 173: 'adac', 174: 'acaaa', 175: 'abbaab', 176: 'cbbb', 177: 'abbbd', 178: 'ccad', 179: 'caadb', 180: 'abbad', 181: 'aabab', 182: 'babbb', 183: 'abbc', 184: 'bdba', 185: 'dda', 186: 'bbaba', 187: 'adcd', 188: 'dbaab', 189: 'abbbc', 190: 'babbab', 191: 'ababa', 192: 'cbaa', 193: 'adad', 194: 'baaac', 195: 'baba', 196: 'baaab', 197: 'bbabbc', 198: 'cbca', 199: 'abcba', 200: 'aabcb', 201: 'cacbd', 202: 'cbcb', 203: 'bbbd', 204: 'bcaba', 205: 'ddab', 206: 'aabbb', 207: 'acaba', 208: 'bccc', 209: 'cbaaa', 210: 'ccab', 211: 'caac', 212: 'ccaa', 213: 'dcca', 214: 'bbaac', 215: 'aaacb', 216: 'accbac', 217: 'baac', 218: 'abacc', 219: 'aacca', 220: 'dbd', 221: 'caadc', 222: 'ccd', 223: 'aaacba', 224: 'bbbaa', 225: 'bacbc', 226: 'baab', 227: 'cdc', 228: 'caaca', 229: 'abaccc', 230: 'aaaaba', 231: 'babca', 232: 'acbda', 233: 'aabaabb', 234: 'cbcba', 235: 'bcacb', 236: 'acbbc', 237: 'dacb', 238: 'adb', 239: 'abaaaa', 240: 'ababb', 241: 'aaaabaa', 242: 'cbabbd', 243: 'addbbc', 244: 'dbdc', 245: 'cabaa', 246: 'aaccaa', 247: 'dcb', 248: 'cbbba', 249: 'caabb', 250: 'abbd', 251: 'aabaabaa', 252: 'dabc', 253: 'babcac', 254: 'bbbda', 255: 'aaca', 256: 'bbcd', 257: 'cabaab', 258: 'aaacab', 259: 'abbcb', 260: 'ccca', 261: 'dacc', 262: 'bcba', 263: 'bccb', 264: 'dccc', 265: 'acba', 266: 'aaaada', 267: 'abbcc', 268: 'bdbb', 269: 'abbcbd', 270: 'daaa', 271: 'bbcbd', 272: 'cdb', 273: 'dbaaaa', 274: 'babaa', 275: 'cbbc', 276: 'acbca', 277: 'dbacd', 278: 'abcc', 279: 'baacb', 280: 'caabd', 281: 'aaacaa', 282: 'ababac', 283: 'baaacd', 284: 'adaaa', 285: 'cbbbd', 286: 'aabbbb', 287: 'bbcca', 288: 'dbaaba', 289: 'abcda', 290: 'aababb', 291: 'bcbd', 292: 'caacc', 293: 'aabad', 294: 'cabad', 295: 'cbbd', 296: 'bacaa', 297: 'bacaaa', 298: 'aababa', 299: 'daac', 300: 'badb', 301: 'abbada', 302: 'aaab', 303: 'acabaa', 304: 'abca', 305: 'daaaa', 306: 'cbac', 307: 'cccc', 308: 'bbbaac', 309: 'bbbc', 310: 'dbaca', 311: 'aacac', 312: 'bcabd', 313: 'abad', 314: 'bbdbb', 315: 'acaac', 316: 'dbdca', 317: 'acd', 318: 'dbbd', 319: 'bdd', 320: 'baacbd', 321: 'cdab', 322: 'acda', 323: 'babcb', 324: 'aadd', 325: 'baabc', 326: 'dada', 327: 'cabc', 328: 'abbcca', 329: 'aaabb', 330: 'abaac', 331: 'aacab', 332: 'ababaca', 333: 'bacba', 334: 'baabb', 335: 'acbac', 336: 'bdbab', 337: 'acac', 338: 'cdac', 339: 'dca', 340: 'abacb', 341: 'cccab', 342: 'daca', 343: 'cbabc', 344: 'acacc', 345: 'caabdb', 346: 'aabba', 347: 'cbbda', 348: 'aacb', 349: 'ababacb', 350: 'aababaa', 351: 'baabcb', 352: 'dabb', 353: 'acaaca', 354: 'aacacc', 355: 'abaca', 356: 'ddabb', 357: 'acdb', 358: 'bbac', 359: 'abaaab', 360: 'bbbcb', 361: 'baaaca', 362: 'baabd', 363: 'accd', 364: 'baaca', 365: 'bbda', 366: 'abaacb', 367: 'bacac', 368: 'aabcba', 369: 'abbba', 370: 'acaaac', 371: 'abcaa', 372: 'aaabba', 373: 'ababc', 374: 'aaaaab', 375: 'caadbb', 376: 'badbb', 377: 'cdaba', 378: 'aacaa', 379: 'bcacba', 380: 'babbba', 381: 'bbacc', 382: 'aadda', 383: 'dadc', 384: 'dbcd', 385: 'aaccab', 386: 'abaaba', 387: 'bccbb', 388: 'aaaabac', 389: 'aaacabb', 390: 'abaaca', 391: 'ababab', 392: 'baaad', 393: 'bbbac', 394: 'aaaba', 395: 'cbadb', 396: 'cbbbaa', 397: 'aabbab', 398: 'bdab', 399: 'dccca', 400: 'cbabd', 401: 'abacaa', 402: 'acca', 403: 'bcaa', 404: 'bcad', 405: 'bccab', 406: 'bcadd', 407: 'aaabaa', 408: 'baacac', 409: 'bbad', 410: 'ccabc', 411: 'bcacbc', 412: 'cdca', 413: 'aabd', 414: 'cadc', 415: 'ccb', 416: 'ababaa', 417: 'aaadab', 418: 'aaacc', 419: 'dbab', 420: 'dcba', 421: 'baaaaa', 422: 'abacbc', 423: 'cbabac', 424: 'cbcbac', 425: 'acbaa', 426: 'dcbc', 427: 'bcabc', 428: 'bccaa', 429: 'babac', 430: 'ababbd', 431: 'aacaab', 432: 'abccc', 433: 'baabba', 434: 'caaa', 435: 'acabbc', 436: 'ccdb', 437: 'bccac', 438: 'adaac', 439: 'aaaaabb', 440: 'bbbab', 441: 'caadbc', 442: 'accbba', 443: 'adaaaa', 444: 'baaba', 445: 'bdabd', 446: 'ccbc', 447: 'caaadbb', 448: 'dbbac', 449: 'aabaaaa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'd': 0, 'da': 1, 'ab': 6, 'aa': 6, 'ad': 6, 'bb': 3, 'aaa': 9, 'aba': 7, 'ac': 6, 'acb': 13, 'c': 0, 'cc': 2, 'adb': 29, 'ccc': 73, 'ca': 2, 'abab': 47, 'bba': 12, 'cad': 20, 'aab': 9, 'abaa': 47, 'ccd': 73, 'ba': 3, 'bab': 10, 'bbaa': 59, 'cb': 2, 'db': 1, 'cac': 20, 'acc': 13, 'bc': 3, 'bd': 3, 'abc': 7, 'dbb': 15, 'acca': 18, 'bac': 10, 'baca': 17, 'bbab': 59, 'caa': 20, 'ccda': 23, 'acbb': 30, 'aaab': 11, 'aabd': 24, 'bbb': 12, 'aad': 9, 'dbc': 15, 'bcb': 50, 'dba': 15, 'abaaa': 53, 'acbbb': 88, 'bbd': 12, 'ababa': 117, 'bcba': 91, 'abcb': 55, 'dab': 19, 'bca': 50, 'cacd': 25, 'aac': 9, 'abb': 7, 'baba': 71, 'babb': 71, 'babab': 60, 'baa': 10, 'bbaaa': 26, 'aca': 13, 'cbc': 4, 'cccb': 16, 'aaba': 24, 'dc': 1, 'bbac': 59, 'bbdc': 51, 'aada': 45, 'bbbb': 44, 'bbbc': 77, 'acba': 30, 'bbba': 77, 'dcd': 69, 'bacc': 36, 'acbd': 30, 'bcab': 58, 'dbba': 34, 'ababc': 117, 'cab': 20, 'ada': 29, 'dd': 1, 'aacb': 48, 'aaaa': 11, 'babaa': 195, 'abaab': 53, 'aabaa': 81, 'cca': 73, 'abac': 47, 'abd': 7, 'adab': 84, 'bcaa': 58, 'acbc': 30, 'cd': 2, 'dcb': 62, 'baaa': 45, 'aaca': 48, 'caad': 51, 'acbba': 88, 'caaa': 51, 'abbc': 16, 'bbc': 12, 'caab': 51, 'cbcc': 66, 'caba': 100, 'aaaaa': 43, 'baaab': 113, 'aabb': 24, 'bcc': 50, 'baaaba': 110, 'acbaa': 265, 'dac': 19, 'acbbba': 50, 'ababb': 117, 'caadd': 101, 'cbb': 4, 'abca': 55, 'bcbb': 47, 'bacaa': 34, 'caca': 25, 'aaaab': 43, 'aadab': 72, 'abcad': 120, 'adc': 29, 'bdc': 32, 'aaaabd': 124, 'aabad': 81, 'babad': 60, 'abba': 16, 'abdd': 93, 'cbbb': 147, 'baaac': 113, 'baad': 45, 'baada': 136, 'bacac': 34, 'aadaba': 125, 'bbcb': 35, 'aacd': 58, 'cbd': 4, 'aabba': 161, 'acd': 13, 'bacb': 17, 'cba': 4, 'bbbbb': 73, 'bccb': 76, 'bbacb': 70, 'bcac': 58, 'acac': 21, 'baaaa': 113, 'abaaaa': 111, 'bda': 33, 'acbbad': 102, 'aacab': 255, 'adaa': 61, 'acda': 317, 'acbad': 75, 'adba': 15, 'aaaad': 43, 'bcbbb': 121, 'ddb': 8, 'cbaa': 5, 'bccba': 148, 'cadc': 155, 'babc': 71, 'bad': 10, 'cabaa': 122, 'aabac': 68, 'dbcc': 46, 'acab': 21, 'cbbd': 147, 'cabac': 108, 'bccc': 76, 'babca': 163, 'aabc': 24, 'bdb': 33, 'acacb': 151, 'abaaab': 111, 'acaca': 151, 'bababa': 62, 'aacdc': 141, 'aaaaaa': 109, 'baaaaa': 171, 'bcbab': 53, 'cbda': 142, 'bcbbc': 121, 'bbaac': 84, 'adbaa': 160, 'abaabc': 89, 'adca': 127, 'babcc': 167, 'acbca': 118, 'bbaaab': 64, 'abbcb': 183, 'abdb': 22, 'babaac': 88, 'cacb': 25, 'dcba': 247, 'acaa': 21, 'bdcd': 128, 'aaaaaaa': 184, 'cadcb': 166, 'dbbb': 34, 'cbac': 5, 'cbca': 85, 'aaaadb': 161, 'aaaabb': 124, 'aabdb': 43, 'dbca': 46, 'bbabb': 105, 'bcaab': 95, 'cbcd': 66, 'cabacc': 174, 'acaac': 135, 'cacab': 123, 'cabaaa': 169, 'aabca': 177, 'baac': 45, 'dabb': 130, 'acabb': 28, 'cbccb': 107, 'caaba': 106, 'dcbb': 98, 'bcaaa': 95, 'abda': 22, 'abbd': 16, 'aaabc': 42, 'dbaa': 68, 'aadb': 36, 'babccb': 193, 'ccca': 152, 'acaaa': 135, 'acaba': 28, 'cacaba': 217, 'cdb': 60, 'aaac': 11, 'ccab': 139, 'aadbb': 231, 'cbaca': 206, 'abcadb': 126, 'aaaba': 302, 'bbaacd': 189, 'dca': 62, 'cccbc': 67, 'ccdad': 40, 'bcaad': 95, 'acbac': 265, 'ccad': 139, 'abaabb': 89, 'babba': 79, 'abdba': 27, 'aadd': 36, 'cbad': 5, 'dcc': 62, 'add': 29, 'adbd': 15, 'cbbc': 147, 'aaabb': 302, 'bacba': 52, 'badb': 23, 'cbba': 119, 'acacaa': 181, 'dabc': 130, 'dabd': 55, 'aadbc': 231, 'adaaa': 66, 'dbab': 68, 'adbdc': 258, 'accc': 30, 'dbabc': 269, 'aacaa': 255, 'acad': 65, 'dbbaa': 81, 'abcc': 55, 'babbac': 252, 'abad': 47, 'cabb': 100, 'abcac': 120, 'ababaa': 191, 'bcbd': 91, 'dbd': 15, 'aacba': 86, 'adad': 61, 'cbcb': 85, 'acbcc': 96, 'aadba': 231, 'bbbab': 164, 'adaba': 94, 'cbbad': 263, 'bbda': 40, 'caaac': 103, 'cacc': 29, 'abbdc': 228, 'aacdb': 141, 'abbaa': 41, 'abcaa': 304, 'bbabba': 212, 'accac': 35, 'acbccb': 287, 'cabc': 100, 'cbdc': 142, 'cacad': 123, 'aadc': 36, 'aaabab': 243, 'accb': 18, 'abbb': 16, 'bdad': 154, 'babbaa': 252, 'aacaaa': 273, 'aabcaa': 219, 'abbab': 41, 'adbda': 258, 'caac': 51, 'abdaa': 227, 'aaad': 11, 'acdab': 158, 'abcd': 55, 'babaaa': 88, 'acaab': 201, 'baab': 45, 'dbdc': 220, 'ccaa': 139, 'aabaaa': 90, 'aaaac': 43, 'bcabc': 86, 'baaca': 217, 'aacaba': 156, 'baabc': 226, 'babadc': 131, 'dad': 19, 'bacbc': 52, 'aabacc': 170, 'abaaba': 119, 'aaaaaad': 184, 'ddba': 163, 'baaad': 113, 'cabba': 279, 'aabbb': 161, 'abaca': 67, 'bacbab': 261, 'daa': 19, 'aabcaac': 312, 'bcbc': 47, 'aaaaca': 74, 'bacaab': 122, 'accba': 39, 'dda': 8, 'bbcba': 140, 'caaad': 103, 'baacb': 217, 'abbbc': 165, 'cbaac': 164, 'bcca': 76, 'bbbaa': 164, 'bbbca': 74, 'babcb': 163, 'cdbd': 237, 'caabb': 108, 'cbbba': 176, 'abcab': 120, 'bbbbbb': 147, 'bdbb': 72, 'dbaab': 112, 'cbcdc': 214, 'bcaca': 70, 'cda': 60, 'caaaa': 103, 'caabaa': 224, 'accbac': 64, 'bcacaa': 367, 'abbbb': 308, 'acaaca': 315, 'babd': 71, 'ccb': 73, 'bbbcc': 74, 'bbbd': 77, 'aabbab': 346, 'bacaca': 138, 'baaaac': 152, 'addb': 102, 'aacaab': 378, 'accca': 271, 'ababbc': 117, 'cadb': 20, 'ccaad': 324, 'adcab': 192, 'caccb': 294, 'aaabcb': 229, 'babbc': 61, 'bbad': 59, 'bcbad': 53, 'caaadb': 351, 'babcd': 167, 'baabb': 226, 'dcaa': 245, 'caabba': 360, 'aadbcc': 267, 'abaabcb': 191, 'accaa': 35, 'ccbb': 376, 'bdbd': 178, 'caacd': 315, 'abbdd': 228, 'adbdab': 314, 'abbbbb': 373, 'aaacb': 128, 'baabbc': 396, 'aabdbb': 210, 'aabcb': 140, 'abbaaa': 297, 'bdba': 72, 'daaa': 149, 'bbaba': 105, 'acaaab': 234, 'abbbba': 373, 'bbadb': 392, 'dbaac': 230, 'cccbcc': 246, 'cabd': 83, 'cccd': 16, 'ccaab': 324, 'bdcb': 128, 'dbac': 68, 'baaabd': 110, 'adda': 257, 'acacab': 181, 'aaaaab': 124, 'cbcbd': 286, 'cbcba': 202, 'abdbd': 197, 'aacc': 48, 'abbabb': 313, 'abbca': 104, 'cbaaa': 192, 'abbba': 165, 'dbda': 283, 'bdaa': 46, 'abcca': 276, 'abacaa': 355, 'bacad': 37, 'dcbab': 200, 'abbbbaa': 417, 'acbdb': 79, 'cdc': 60, 'caaadbb': 394, 'dbbac': 81, 'aabaaaa': 325, 'cbab': 5, 'bacd': 17, 'cbaba': 14, 'bada': 23, 'ddc': 8, 'ddd': 8, 'aaada': 54, 'cbdd': 57, 'bbcbb': 63, 'accbb': 39, 'abdbb': 27, 'cbabaa': 32, 'bbdb': 40, 'aaadb': 54, 'cbdb': 57, 'caabc': 108, 'aabaab': 82, 'bbabc': 105, 'bbcc': 35, 'aaaca': 128, 'accbc': 39, 'abbac': 41, 'addbb': 116, 'bbca': 35, 'aaacd': 128, 'cbdba': 110, 'aabaaba': 121, 'bcd': 50, 'cbabb': 14, 'cacba': 78, 'cabab': 122, 'dbaaa': 112, 'abdab': 134, 'dbbc': 166, 'daab': 149, 'adac': 61, 'abbaab': 92, 'abbbd': 165, 'caadb': 160, 'abbad': 41, 'aabab': 81, 'babbb': 79, 'adcd': 131, 'babbab': 80, 'bbabbc': 150, 'abcba': 114, 'cacbd': 78, 'bcaba': 86, 'ddab': 185, 'dcca': 97, 'abacc': 67, 'aacca': 158, 'caadc': 160, 'aaacba': 215, 'caaca': 211, 'abaccc': 218, 'aaaaba': 44, 'acbda': 65, 'aabaabb': 121, 'bcacb': 70, 'acbbc': 88, 'dacb': 137, 'aaaabaa': 230, 'cbabbd': 153, 'addbbc': 142, 'aaccaa': 219, 'aabaabaa': 146, 'babcac': 231, 'bbbda': 203, 'bbcd': 35, 'cabaab': 245, 'aaacab': 136, 'dacc': 137, 'dccc': 97, 'aaaada': 69, 'abbcc': 183, 'abbcbd': 259, 'bbcbd': 63, 'dbaaaa': 162, 'dbacd': 103, 'caabd': 108, 'aaacaa': 136, 'ababac': 191, 'baaacd': 194, 'cbbbd': 176, 'aabbbb': 206, 'bbcca': 133, 'dbaaba': 188, 'abcda': 96, 'aababb': 181, 'caacc': 211, 'cabad': 122, 'bacaaa': 296, 'aababa': 181, 'daac': 149, 'abbada': 180, 'acabaa': 207, 'daaaa': 270, 'cccc': 152, 'bbbaac': 224, 'dbaca': 103, 'aacac': 255, 'bcabd': 86, 'bbdbb': 95, 'dbdca': 244, 'dbbd': 166, 'bdd': 33, 'baacbd': 279, 'cdab': 83, 'dada': 42, 'abbcca': 267, 'abaac': 53, 'ababaca': 282, 'bdbab': 184, 'cdac': 83, 'abacb': 67, 'cccab': 260, 'daca': 137, 'cbabc': 14, 'acacc': 337, 'caabdb': 280, 'cbbda': 295, 'ababacb': 282, 'aababaa': 298, 'baabcb': 325, 'aacacc': 311, 'ddabb': 205, 'acdb': 317, 'bbbcb': 309, 'baaaca': 194, 'baabd': 226, 'accd': 18, 'abaacb': 330, 'aabcba': 200, 'acaaac': 174, 'aaabba': 329, 'caadbb': 179, 'badbb': 300, 'cdaba': 321, 'bcacba': 235, 'babbba': 182, 'bbacc': 358, 'aadda': 324, 'dadc': 42, 'dbcd': 31, 'aaccab': 219, 'bccbb': 263, 'aaaabac': 230, 'aaacabb': 258, 'abaaca': 330, 'ababab': 191, 'bbbac': 164, 'cbadb': 115, 'cbbbaa': 248, 'bdab': 46, 'dccca': 264, 'cbabd': 14, 'bcad': 58, 'bccab': 98, 'bcadd': 404, 'aaabaa': 394, 'baacac': 364, 'ccabc': 210, 'bcacbc': 235, 'cdca': 227, 'aaadab': 56, 'aaacc': 128, 'abacbc': 340, 'cbabac': 32, 'cbcbac': 234, 'dcbc': 247, 'bccaa': 98, 'babac': 195, 'ababbd': 240, 'abccc': 278, 'baabba': 334, 'acabbc': 99, 'ccdb': 222, 'bccac': 98, 'adaac': 66, 'aaaaabb': 374, 'caadbc': 179, 'accbba': 90, 'adaaaa': 284, 'baaba': 226, 'bdabd': 398, 'ccbc': 415}\n",
            "With LZ compression, the number of bits needed is ((NB)): 7633\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  17\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  2000 symbols is  abaaabbaaacadbbbcbacdaabcdbaabaccdadaaabcbaababaacabaaaacaabbabbaaabaabacbbbaabbabadaaccabbbaabbacbdcaaaaaadbaaacaabbdddaaacaaccaabaaaacccaaabbbaabaaacbabaaaaaacbbdaaaabaccbaabcddacaaacdababdbaabbddbdcaddcaaaabbbcbacdaaccccaabbccacacaadaaabdacacbbbabababbbcbccbaaabbaabbaabacaaabcaabcbbdbbbcaccbbabbacabddbaabddababcabbdaaadbdaacccbabdbbaadbabaaacdbbbcadaaabddacbcaabcaabababbbabacabccabcdaabdcdbabbdbaddbbacabbaadbcbabbbbcaadbababaacaaabaacdbaabadbaacacaabcbbbccbabacbaacbcacaaaabcbdbccbbbaabccccaacacadbcabbbadabddbcaaaabaabacdccabcaacbccbcaabacabbbbcacabcacadbbaaaacaaabcbdbccabaaaaabaaabbacaaaadaabaccbabbccbaaabaaadaaadaacccbdccdababaddbdbbbadadbacbbaaadbabaaaaabbbabcbbbdaabbccaacabbbaabaaadaabcbdaaccaaabcbbadbccbdbcbcaaabababacacabaabbcbcdaabbaabacdcbacbacbcbaabbaaaabaaccacbabbbcbbadaabbabcbbbccaaacdabbccbbaaaacbaabcbbabcabcbadbacaaabaabaaacaacababdbcababcabbaaabcbbccdcadabcdbbbbcacddabbbaaaaaaaacbabaaaaaaaacacbaabbacdabacabbccccabacacabaadcacddcbaabccdabddbbbacbcbabaadbacaacacbacbccbbccccbbbbbabababbbcbbabbaccdaacccbaaacacabdbcabcaaabdcbaaadbcaadbcacdbabcbbcbcdbaaadabacaaaabbabadbaabaabbbbacaaadbcacbcabbbbaaaaacbaccaaadbbcbaaadbcadabddbdbaabaacaabadbdabacdabbaacbacadcbaaaaabcbaababbacbabdaabdccdbbabaaadacbccddaaccccbcacddabababcbaabdbccbbbbcacbddcdcbbababdddbcadaaaababdcdaabcbababcaaaaaababccddcababbacabbabcabacbcaabbdadbaabaddbbbaddacabadabcbadbbabaabcaabdcacbbbbdbcbcaabacbaccabbacccaaaabaadcbaababaaacacdaaabaaadacaacabdaaacdaaaaccbaccaabbaabbaaaccaddcbdcaaabbdbabdbadccbdcabbbcabbbcacaadacdddabaabcccccbbaaaabcadaaaabbdaccccbabaabbbbbadbdcbaaaaabaaaaaaccbadcaaabbdaacaccaacccbabdaccbbccbbbadbaabddbaaccbacbcacbdbadbdbabcbbcbbbcbbaaaaaabbabccbcaacbaacaaaaabbaaabbacaccbaadbbbcbaaabaaabacdbbaaaaaaababcbadbbbacadcaacaaadcabaccccbadcacabaaaacdcbdbbaabacababbbbacbbcacbbddcacbaccaaaadbbabccbaabaaacccbcaaabbaabadbcbbaccacadbdbbcacabbbacdacccbcabaabbcbbabcaadbadbaaadadacbcadadcbbbcaacabbcdaaacaaadcbcbdbdbabbcbcbcbdacaaabadaaaaabaacadacbabccbbbcbaccbbabccacccaaacaaabaadbadabcbba\n",
            "Entropy of the alphabet =  987.8636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'a', 2: 'b', 3: 'aa', 4: 'ab', 5: 'ba', 6: 'aac', 7: 'ad', 8: 'bb', 9: 'bc', 10: 'bac', 11: 'd', 12: 'aab', 13: 'c', 14: 'db', 15: 'aaba', 16: 'cc', 17: 'da', 18: 'daa', 19: 'abc', 20: 'baa', 21: 'bab', 22: 'aaca', 23: 'baaa', 24: 'ac', 25: 'aabb', 26: 'abb', 27: 'aaa', 28: 'baab', 29: 'acb', 30: 'bba', 31: 'abba', 32: 'bad', 33: 'aacc', 34: 'abbb', 35: 'aabba', 36: 'cb', 37: 'dc', 38: 'aaaa', 39: 'aad', 40: 'baaac', 41: 'aabbd', 42: 'dd', 43: 'aaac', 44: 'aacca', 45: 'aba', 46: 'aaacc', 47: 'ca', 48: 'aabbb', 49: 'aabaa', 50: 'acba', 51: 'baaaa', 52: 'aacb', 53: 'bd', 54: 'aaaab', 55: 'acc', 56: 'baabc', 57: 'dda', 58: 'caa', 59: 'acd', 60: 'abab', 61: 'dba', 62: 'abbd', 63: 'dbd', 64: 'cad', 65: 'dca', 66: 'aaab', 67: 'bbc', 68: 'bacd', 69: 'aaccc', 70: 'caab', 71: 'bcc', 72: 'aca', 73: 'caad', 74: 'aaabd', 75: 'acac', 76: 'bbb', 77: 'ababa', 78: 'bbbc', 79: 'bccb', 80: 'aaabb', 81: 'aabbaa', 82: 'baca', 83: 'aabc', 84: 'aabcb', 85: 'bdb', 86: 'bbca', 87: 'ccb', 88: 'babb', 89: 'acab', 90: 'ddb', 91: 'aabd', 92: 'dab', 93: 'abca', 94: 'bbd', 95: 'aaad', 96: 'bda', 97: 'accc', 98: 'babd', 99: 'bbaa', 100: 'dbab', 101: 'aaacd', 102: 'bbbca', 103: 'daaa', 104: 'bdd', 105: 'acbc', 106: 'aabca', 107: 'ababab', 108: 'bbab', 109: 'acabc', 110: 'cab', 111: 'cd', 112: 'aabdc', 113: 'dbabb', 114: 'dbad', 115: 'dbb', 116: 'acabb', 117: 'aadb', 118: 'cba', 119: 'bbbb', 120: 'caadb', 121: 'ababaa', 122: 'caaa', 123: 'baac', 124: 'dbaa', 125: 'badb', 126: 'aacac', 127: 'aabcbb', 128: 'bccba', 129: 'bacb', 130: 'aacbc', 131: 'acaa', 132: 'aabcbd', 133: 'bccbb', 134: 'baabcc', 135: 'cca', 136: 'acaca', 137: 'dbc', 138: 'abbba', 139: 'dabd', 140: 'dbca', 141: 'aaaba', 142: 'abac', 143: 'dcc', 144: 'abcaa', 145: 'cbc', 146: 'cbca', 147: 'abaca', 148: 'bbbbc', 149: 'acabca', 150: 'cadb', 151: 'baaaac', 152: 'aaabc', 153: 'bdbc', 154: 'caba', 155: 'aaaaba', 156: 'aabbac', 157: 'aaaad', 158: 'aabac', 159: 'cbab', 160: 'bccbaa', 161: 'abaa', 162: 'ada', 163: 'aada', 164: 'acccb', 165: 'dccd', 166: 'ababad', 167: 'dbdb', 168: 'bbad', 169: 'adb', 170: 'acbb', 171: 'aaadb', 172: 'abaaa', 173: 'aabbba', 174: 'bcb', 175: 'bbda', 176: 'abbc', 177: 'caac', 178: 'abbbaa', 179: 'baaad', 180: 'aabcbda', 181: 'acca', 182: 'aabcbba', 183: 'dbcc', 184: 'bdbcb', 185: 'caaab', 186: 'ababac', 187: 'acaba', 188: 'abbcb', 189: 'cda', 190: 'abbaa', 191: 'bacdc', 192: 'bacba', 193: 'cbcb', 194: 'aabbaaa', 195: 'abaac', 196: 'cac', 197: 'babbb', 198: 'cbb', 199: 'adaa', 200: 'bbabc', 201: 'bbbcc', 202: 'aaacda', 203: 'bbcc', 204: 'bbaaa', 205: 'acbaa', 206: 'bcbb', 207: 'abcab', 208: 'cbad', 209: 'bacaa', 210: 'abaab', 211: 'aaaca', 212: 'acabab', 213: 'dbcab', 214: 'abcabb', 215: 'aaabcb', 216: 'bccd', 217: 'cada', 218: 'bcd', 219: 'bbbbca', 220: 'cdd', 221: 'abbbaaa', 222: 'aaaaa', 223: 'cbaba', 224: 'aaaaaa', 225: 'acacb', 226: 'aabbacd', 227: 'abacab', 228: 'bccc', 229: 'cabac', 230: 'acabaa', 231: 'dcac', 232: 'ddc', 233: 'baabccd', 234: 'abd', 235: 'dbbb', 236: 'acbcb', 237: 'abaad', 238: 'bacaac', 239: 'acbac', 240: 'bccbbc', 241: 'ccc', 242: 'bbbbb', 243: 'abababb', 244: 'bcbba', 245: 'bbac', 246: 'cdaa', 247: 'cccb', 248: 'aaacac', 249: 'abdb', 250: 'cabc', 251: 'aaabdc', 252: 'baaadb', 253: 'caadbc', 254: 'acdb', 255: 'abcb', 256: 'bcbc', 257: 'dbaaa', 258: 'daba', 259: 'caaaa', 260: 'bbaba', 261: 'dbaab', 262: 'aabbbb', 263: 'acaaa', 264: 'dbcac', 265: 'bca', 266: 'bbbba', 267: 'aaaac', 268: 'bacc', 269: 'aaadbb', 270: 'cbaa', 271: 'adbc', 272: 'adab', 273: 'ddbd', 274: 'baaba', 275: 'acaab', 276: 'adbd', 277: 'abacd', 278: 'abbaac', 279: 'bacad', 280: 'cbaaa', 281: 'aabcba', 282: 'ababb', 283: 'acbab', 284: 'daab', 285: 'dccdb', 286: 'baba', 287: 'aadac', 288: 'bccdd', 289: 'aacccc', 290: 'bcac', 291: 'ddab', 292: 'ababc', 293: 'baabd', 294: 'bccbbb', 295: 'bcacb', 296: 'ddcd', 297: 'cbba', 298: 'babdd', 299: 'dbcad', 300: 'aaaabab', 301: 'dcd', 302: 'aabcbab', 303: 'abcaaa', 304: 'aaabab', 305: 'ccd', 306: 'dcab', 307: 'abbac', 308: 'abbab', 309: 'cabacb', 310: 'caabb', 311: 'dad', 312: 'baabad', 313: 'dbbba', 314: 'ddac', 315: 'abad', 316: 'abcba', 317: 'dbba', 318: 'baabca', 319: 'abdc', 320: 'acbbb', 321: 'bdbcbc', 322: 'aabacb', 323: 'accab', 324: 'baccc', 325: 'aaaabaa', 326: 'dcb', 327: 'aabab', 328: 'aaacacd', 329: 'aaabaa', 330: 'adac', 331: 'aacab', 332: 'daaac', 333: 'daaaa', 334: 'ccba', 335: 'ccaa', 336: 'bbaab', 337: 'baaacc', 338: 'add', 339: 'cbd', 340: 'caaabb', 341: 'dbabd', 342: 'badc', 343: 'cbdc', 344: 'abbbc', 345: 'abbbca', 346: 'caada', 347: 'cddd', 348: 'abaabc', 349: 'cccc', 350: 'bbaaaa', 351: 'bcad', 352: 'aaaabb', 353: 'dac', 354: 'cccba', 355: 'baabb', 356: 'bbba', 357: 'dbdc', 358: 'baaaaa', 359: 'baaaaaa', 360: 'ccbad', 361: 'caaabbd', 362: 'aacacc', 363: 'aacccb', 364: 'abda', 365: 'ccbb', 366: 'ccbbb', 367: 'adba', 368: 'abdd', 369: 'baacc', 370: 'bacbc', 371: 'acbd', 372: 'badbd', 373: 'babc', 374: 'bbcb', 375: 'bbcbb', 376: 'aaaaaab', 377: 'babcc', 378: 'bcaa', 379: 'cbaac', 380: 'aaaaab', 381: 'baaab', 382: 'bacac', 383: 'cbaad', 384: 'bbbcb', 385: 'aaabaaa', 386: 'bacdb', 387: 'baaaaaaa', 388: 'babcb', 389: 'adbb', 390: 'bacadc', 391: 'aacaa', 392: 'adc', 393: 'abacc', 394: 'ccbadc', 395: 'acabaaa', 396: 'acdc', 397: 'bdbb', 398: 'aabaca', 399: 'babbbb', 400: 'acbbc', 401: 'acbbd', 402: 'dcacb', 403: 'accaa', 404: 'aadbb', 405: 'abcc', 406: 'baabaa', 407: 'acccbc', 408: 'aaabba', 409: 'abadb', 410: 'cbbac', 411: 'caca', 412: 'dbdbb', 413: 'cacab', 414: 'bbacd', 415: 'acccbca', 416: 'baabbc', 417: 'bbabca', 418: 'adbad', 419: 'baaada', 420: 'dacb', 421: 'cadad', 422: 'cbbb', 423: 'caaca', 424: 'bbcd', 425: 'aaacaa', 426: 'adcb', 427: 'cbdb', 428: 'dbabbc', 429: 'bcbcb', 430: 'daca', 431: 'aabad', 432: 'aaaaaba', 433: 'acad', 434: 'acbabc', 435: 'cbbbc', 436: 'baccb', 437: 'babcca', 438: 'ccca', 439: 'aacaaa', 440: 'baad', 441: 'bada', 442: 'accbba', 443: 'adaaaa', 444: 'baaba', 445: 'bdabd', 446: 'ccbc', 447: 'caaadbb', 448: 'dbbac', 449: 'aabaaaa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'd': 0, 'da': 11, 'ab': 1, 'aa': 1, 'ad': 1, 'bb': 2, 'aaa': 3, 'aba': 4, 'ac': 1, 'acb': 24, 'c': 0, 'cc': 13, 'adb': 7, 'ccc': 16, 'ca': 13, 'abab': 45, 'bba': 8, 'cad': 47, 'aab': 3, 'abaa': 45, 'ccd': 16, 'ba': 2, 'bab': 5, 'bbaa': 30, 'cb': 13, 'db': 11, 'cac': 47, 'acc': 24, 'bc': 2, 'bd': 2, 'abc': 4, 'dbb': 14, 'acca': 55, 'bac': 5, 'baca': 10, 'bbab': 30, 'caa': 47, 'ccda': 23, 'acbb': 29, 'aaab': 27, 'aabd': 12, 'bbb': 8, 'aad': 3, 'dbc': 14, 'bcb': 9, 'dba': 14, 'abaaa': 161, 'acbbb': 170, 'bbd': 8, 'ababa': 60, 'bcba': 91, 'abcb': 19, 'dab': 17, 'bca': 9, 'cacd': 25, 'aac': 3, 'abb': 4, 'baba': 21, 'babb': 21, 'babab': 60, 'baa': 5, 'bbaaa': 99, 'aca': 24, 'cbc': 36, 'cccb': 241, 'aaba': 12, 'dc': 11, 'bbac': 30, 'bbdc': 51, 'aada': 39, 'bbbb': 76, 'bbbc': 76, 'acba': 29, 'bbba': 76, 'dcd': 37, 'bacc': 10, 'acbd': 29, 'bcab': 58, 'dbba': 115, 'ababc': 60, 'cab': 47, 'ada': 7, 'dd': 11, 'aacb': 6, 'aaaa': 27, 'babaa': 195, 'abaab': 161, 'aabaa': 15, 'cca': 16, 'abac': 45, 'abd': 4, 'adab': 162, 'bcaa': 265, 'acbc': 29, 'cd': 13, 'dcb': 37, 'baaa': 20, 'aaca': 6, 'caad': 58, 'acbba': 88, 'caaa': 58, 'abbc': 26, 'bbc': 8, 'caab': 58, 'cbcc': 66, 'caba': 110, 'aaaaa': 38, 'baaab': 23, 'aabb': 12, 'bcc': 9, 'baaaba': 110, 'acbaa': 50, 'dac': 17, 'acbbba': 50, 'ababb': 60, 'caadd': 101, 'cbb': 36, 'abca': 19, 'bcbb': 174, 'bacaa': 82, 'caca': 196, 'aaaab': 38, 'aadab': 72, 'abcad': 120, 'adc': 7, 'bdc': 32, 'aaaabd': 124, 'aabad': 15, 'babad': 60, 'abba': 26, 'abdd': 234, 'cbbb': 198, 'baaac': 23, 'baad': 20, 'baada': 136, 'bacac': 82, 'aadaba': 125, 'bbcb': 67, 'aacd': 58, 'cbd': 36, 'aabba': 25, 'acd': 24, 'bacb': 10, 'cba': 36, 'bbbbb': 119, 'bccb': 71, 'bbacb': 70, 'bcac': 265, 'acac': 72, 'baaaa': 23, 'abaaaa': 111, 'bda': 53, 'acbbad': 102, 'aacab': 22, 'adaa': 162, 'acda': 317, 'acbad': 75, 'adba': 169, 'aaaad': 38, 'bcbbb': 121, 'ddb': 42, 'cbaa': 118, 'bccba': 79, 'cadc': 155, 'babc': 21, 'bad': 5, 'cabaa': 122, 'aabac': 15, 'dbcc': 137, 'acab': 72, 'cbbd': 147, 'cabac': 154, 'bccc': 71, 'babca': 163, 'aabc': 12, 'bdb': 53, 'acacb': 75, 'abaaab': 111, 'acaca': 75, 'bababa': 62, 'aacdc': 141, 'aaaaaa': 222, 'baaaaa': 51, 'bcbab': 53, 'cbda': 142, 'bcbbc': 121, 'bbaac': 84, 'adbaa': 160, 'abaabc': 210, 'adca': 127, 'babcc': 373, 'acbca': 118, 'bbaaab': 64, 'abbcb': 176, 'abdb': 234, 'babaac': 88, 'cacb': 25, 'dcba': 247, 'acaa': 72, 'bdcd': 128, 'aaaaaaa': 184, 'cadcb': 166, 'dbbb': 115, 'cbac': 5, 'cbca': 145, 'aaaadb': 161, 'aaaabb': 54, 'aabdb': 43, 'dbca': 137, 'bbabb': 105, 'bcaab': 95, 'cbcd': 66, 'cabacc': 174, 'acaac': 135, 'cacab': 411, 'cabaaa': 169, 'aabca': 83, 'baac': 20, 'dabb': 130, 'acabb': 89, 'cbccb': 107, 'caaba': 106, 'dcbb': 98, 'bcaaa': 95, 'abda': 234, 'abbd': 26, 'aaabc': 66, 'dbaa': 61, 'aadb': 39, 'babccb': 193, 'ccca': 241, 'acaaa': 131, 'acaba': 89, 'cacaba': 217, 'cdb': 60, 'aaac': 27, 'ccab': 139, 'aadbb': 117, 'cbaca': 206, 'abcadb': 126, 'aaaba': 66, 'bbaacd': 189, 'dca': 37, 'cccbc': 67, 'ccdad': 40, 'bcaad': 95, 'acbac': 50, 'ccad': 139, 'abaabb': 89, 'babba': 79, 'abdba': 27, 'aadd': 36, 'cbad': 118, 'dcc': 37, 'add': 7, 'adbd': 169, 'cbbc': 147, 'aaabb': 66, 'bacba': 129, 'badb': 32, 'cbba': 198, 'acacaa': 181, 'dabc': 130, 'dabd': 92, 'aadbc': 231, 'adaaa': 66, 'dbab': 61, 'adbdc': 258, 'accc': 55, 'dbabc': 269, 'aacaa': 22, 'acad': 72, 'dbbaa': 81, 'abcc': 19, 'babbac': 252, 'abad': 45, 'cabb': 100, 'abcac': 120, 'ababaa': 77, 'bcbd': 91, 'dbd': 14, 'aacba': 86, 'adad': 61, 'cbcb': 145, 'acbcc': 96, 'aadba': 231, 'bbbab': 164, 'adaba': 94, 'cbbad': 263, 'bbda': 94, 'caaac': 103, 'cacc': 29, 'abbdc': 228, 'aacdb': 141, 'abbaa': 31, 'abcaa': 93, 'bbabba': 212, 'accac': 35, 'acbccb': 287, 'cabc': 110, 'cbdc': 339, 'cacad': 123, 'aadc': 36, 'aaabab': 141, 'accb': 18, 'abbb': 26, 'bdad': 154, 'babbaa': 252, 'aacaaa': 391, 'aabcaa': 219, 'abbab': 31, 'adbda': 258, 'caac': 58, 'abdaa': 227, 'aaad': 27, 'acdab': 158, 'abcd': 55, 'babaaa': 88, 'acaab': 131, 'baab': 20, 'dbdc': 63, 'ccaa': 135, 'aabaaa': 90, 'aaaac': 38, 'bcabc': 86, 'baaca': 217, 'aacaba': 156, 'baabc': 28, 'babadc': 131, 'dad': 17, 'bacbc': 129, 'aabacc': 170, 'abaaba': 119, 'aaaaaad': 184, 'ddba': 163, 'baaad': 23, 'cabba': 279, 'aabbb': 25, 'abaca': 142, 'bacbab': 261, 'daa': 17, 'aabcaac': 312, 'bcbc': 174, 'aaaaca': 74, 'bacaab': 122, 'accba': 39, 'dda': 42, 'bbcba': 140, 'caaad': 103, 'baacb': 217, 'abbbc': 34, 'cbaac': 270, 'bcca': 76, 'bbbaa': 164, 'bbbca': 78, 'babcb': 373, 'cdbd': 237, 'caabb': 70, 'cbbba': 176, 'abcab': 93, 'bbbbbb': 147, 'bdbb': 85, 'dbaab': 124, 'cbcdc': 214, 'bcaca': 70, 'cda': 111, 'caaaa': 122, 'caabaa': 224, 'accbac': 64, 'bcacaa': 367, 'abbbb': 308, 'acaaca': 315, 'babd': 21, 'ccb': 16, 'bbbcc': 78, 'bbbd': 77, 'aabbab': 346, 'bacaca': 138, 'baaaac': 51, 'addb': 102, 'aacaab': 378, 'accca': 271, 'ababbc': 117, 'cadb': 64, 'ccaad': 324, 'adcab': 192, 'caccb': 294, 'aaabcb': 152, 'babbc': 61, 'bbad': 30, 'bcbad': 53, 'caaadb': 351, 'babcd': 167, 'baabb': 28, 'dcaa': 245, 'caabba': 360, 'aadbcc': 267, 'abaabcb': 191, 'accaa': 181, 'ccbb': 87, 'bdbd': 178, 'caacd': 315, 'abbdd': 228, 'adbdab': 314, 'abbbbb': 373, 'aaacb': 128, 'baabbc': 355, 'aabdbb': 210, 'aabcb': 83, 'abbaaa': 297, 'bdba': 72, 'daaa': 18, 'bbaba': 108, 'acaaab': 234, 'abbbba': 373, 'bbadb': 392, 'dbaac': 230, 'cccbcc': 246, 'cabd': 83, 'cccd': 16, 'ccaab': 324, 'bdcb': 128, 'dbac': 68, 'baaabd': 110, 'adda': 257, 'acacab': 181, 'aaaaab': 222, 'cbcbd': 286, 'cbcba': 202, 'abdbd': 197, 'aacc': 6, 'abbabb': 313, 'abbca': 104, 'cbaaa': 270, 'abbba': 34, 'dbda': 283, 'bdaa': 46, 'abcca': 276, 'abacaa': 355, 'bacad': 82, 'dcbab': 200, 'abbbbaa': 417, 'acbdb': 79, 'cdc': 60, 'caaadbb': 394, 'dbbac': 81, 'aabaaaa': 325, 'cbab': 118, 'bacd': 10, 'cbaba': 159, 'bada': 32, 'ddc': 42, 'ddd': 8, 'aaada': 54, 'cbdd': 57, 'bbcbb': 374, 'accbb': 39, 'abdbb': 27, 'cbabaa': 32, 'bbdb': 40, 'aaadb': 95, 'cbdb': 339, 'caabc': 108, 'aabaab': 82, 'bbabc': 108, 'bbcc': 67, 'aaaca': 43, 'accbc': 39, 'abbac': 31, 'addbb': 116, 'bbca': 67, 'aaacd': 43, 'cbdba': 110, 'aabaaba': 121, 'bcd': 9, 'cbabb': 14, 'cacba': 78, 'cabab': 122, 'dbaaa': 124, 'abdab': 134, 'dbbc': 166, 'daab': 18, 'adac': 162, 'abbaab': 92, 'abbbd': 165, 'caadb': 73, 'abbad': 41, 'aabab': 15, 'babbb': 88, 'adcd': 131, 'babbab': 80, 'bbabbc': 150, 'abcba': 255, 'cacbd': 78, 'bcaba': 86, 'ddab': 57, 'dcca': 97, 'abacc': 142, 'aacca': 33, 'caadc': 160, 'aaacba': 215, 'caaca': 177, 'abaccc': 218, 'aaaaba': 54, 'acbda': 65, 'aabaabb': 121, 'bcacb': 290, 'acbbc': 170, 'dacb': 353, 'aaaabaa': 155, 'cbabbd': 153, 'addbbc': 142, 'aaccaa': 219, 'aabaabaa': 146, 'babcac': 231, 'bbbda': 203, 'bbcd': 67, 'cabaab': 245, 'aaacab': 136, 'dacc': 137, 'dccc': 97, 'aaaada': 69, 'abbcc': 183, 'abbcbd': 259, 'bbcbd': 63, 'dbaaaa': 162, 'dbacd': 103, 'caabd': 108, 'aaacaa': 211, 'ababac': 77, 'baaacd': 194, 'cbbbd': 176, 'aabbbb': 48, 'bbcca': 133, 'dbaaba': 188, 'abcda': 96, 'aababb': 181, 'caacc': 211, 'cabad': 122, 'bacaaa': 296, 'aababa': 181, 'daac': 149, 'abbada': 180, 'acabaa': 187, 'daaaa': 103, 'cccc': 241, 'bbbaac': 224, 'dbaca': 103, 'aacac': 22, 'bcabd': 86, 'bbdbb': 95, 'dbdca': 244, 'dbbd': 166, 'bdd': 53, 'baacbd': 279, 'cdab': 83, 'dada': 42, 'abbcca': 267, 'abaac': 161, 'ababaca': 282, 'bdbab': 184, 'cdac': 83, 'abacb': 67, 'cccab': 260, 'daca': 353, 'cbabc': 14, 'acacc': 337, 'caabdb': 280, 'cbbda': 295, 'ababacb': 282, 'aababaa': 298, 'baabcb': 325, 'aacacc': 126, 'ddabb': 205, 'acdb': 59, 'bbbcb': 78, 'baaaca': 194, 'baabd': 28, 'accd': 18, 'abaacb': 330, 'aabcba': 84, 'acaaac': 174, 'aaabba': 80, 'caadbb': 179, 'badbb': 300, 'cdaba': 321, 'bcacba': 235, 'babbba': 182, 'bbacc': 358, 'aadda': 324, 'dadc': 42, 'dbcd': 31, 'aaccab': 219, 'bccbb': 79, 'aaaabac': 230, 'aaacabb': 258, 'abaaca': 330, 'ababab': 77, 'bbbac': 164, 'cbadb': 115, 'cbbbaa': 248, 'bdab': 46, 'dccca': 264, 'cbabd': 14, 'bcad': 265, 'bccab': 98, 'bcadd': 404, 'aaabaa': 141, 'baacac': 364, 'ccabc': 210, 'bcacbc': 235, 'cdca': 227, 'aaadab': 56, 'aaacc': 43, 'abacbc': 340, 'cbabac': 32, 'cbcbac': 234, 'dcbc': 247, 'bccaa': 98, 'babac': 195, 'ababbd': 240, 'abccc': 278, 'baabba': 334, 'acabbc': 99, 'ccdb': 222, 'bccac': 98, 'adaac': 66, 'aaaaabb': 374, 'caadbc': 120, 'accbba': 90, 'adaaaa': 284, 'baaba': 28, 'bdabd': 398, 'ccbc': 415, 'aabbd': 25, 'aaccc': 33, 'aaabd': 66, 'aabbaa': 35, 'acabc': 89, 'aabdc': 91, 'dbabb': 100, 'dbad': 61, 'aabcbb': 84, 'aacbc': 52, 'aabcbd': 84, 'baabcc': 56, 'bbbbc': 119, 'acabca': 109, 'bdbc': 85, 'aabbac': 35, 'bccbaa': 128, 'acccb': 97, 'dccd': 143, 'ababad': 77, 'dbdb': 63, 'aabbba': 48, 'abbbaa': 138, 'aabcbda': 132, 'aabcbba': 127, 'bdbcb': 153, 'caaab': 122, 'bacdc': 68, 'aabbaaa': 81, 'aaacda': 101, 'acabab': 187, 'dbcab': 140, 'abcabb': 207, 'bccd': 71, 'cada': 64, 'bbbbca': 148, 'cdd': 111, 'abbbaaa': 178, 'aabbacd': 156, 'abacab': 147, 'dcac': 65, 'baabccd': 134, 'acbcb': 105, 'abaad': 161, 'bacaac': 209, 'bccbbc': 133, 'abababb': 107, 'bcbba': 206, 'cdaa': 189, 'aaacac': 211, 'aaabdc': 74, 'baaadb': 179, 'daba': 92, 'dbcac': 140, 'bbbba': 119, 'aaadbb': 171, 'adbc': 169, 'ddbd': 90, 'abacd': 142, 'abbaac': 190, 'acbab': 50, 'dccdb': 165, 'aadac': 163, 'bccdd': 216, 'aacccc': 69, 'bccbbb': 133, 'ddcd': 232, 'babdd': 98, 'dbcad': 140, 'aaaabab': 155, 'aabcbab': 281, 'abcaaa': 144, 'dcab': 65, 'cabacb': 229, 'baabad': 274, 'dbbba': 235, 'ddac': 57, 'baabca': 56, 'abdc': 234, 'bdbcbc': 184, 'aabacb': 158, 'accab': 181, 'baccc': 268, 'aaacacd': 248, 'daaac': 103, 'ccba': 87, 'bbaab': 99, 'baaacc': 40, 'caaabb': 185, 'dbabd': 100, 'badc': 32, 'abbbca': 344, 'caada': 73, 'cddd': 220, 'bbaaaa': 204, 'cccba': 247, 'baaaaaa': 358, 'ccbad': 334, 'caaabbd': 340, 'aacccb': 69, 'ccbbb': 365, 'baacc': 123, 'badbd': 125, 'aaaaaab': 224, 'cbaad': 270, 'aaabaaa': 329, 'bacdb': 68, 'baaaaaaa': 359, 'adbb': 169, 'bacadc': 279, 'ccbadc': 360, 'acabaaa': 230, 'acdc': 59, 'aabaca': 158, 'babbbb': 197, 'acbbd': 170, 'dcacb': 231, 'baabaa': 274, 'acccbc': 164, 'abadb': 315, 'cbbac': 297, 'dbdbb': 167, 'bbacd': 245, 'acccbca': 407, 'bbabca': 200, 'adbad': 367, 'baaada': 179, 'cadad': 217, 'adcb': 392, 'dbabbc': 113, 'bcbcb': 256, 'aaaaaba': 380, 'acbabc': 283, 'cbbbc': 422, 'baccb': 268, 'babcca': 377}\n",
            "With LZ compression, the number of bits needed is ((NB)): 7633\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  17\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  2000 symbols is  ccccabcacadcaaaaaabbaccabbbcdbacbccaabacbacccaabcaaaddbbaacaacdaccbadddaaaababaabbacbbaabcdbbacacaababbabadadcdbacbacbabdbcabdaabbbccdcaaadcabcccbcbababbcbcbaabcddbbacdccdaaaabbcaccbbacaabdbbcaacbcbdadbaaabacdbdcbabcaadadcababcaaabaabcbccccabaabbaaccaaabbbaadbbccadbababccabbcbaacabadaccbcacbbadabaabababbcabcadacdcbaadbdabbbacbacbaacabaaabbbbbbbabbacabdaacbbaddcbababcadcaacdacbdaabcaaaadbabdaaadaaaadcabacbabbcaccabcbcacbaaabcaabaaaaadcaacaabcbcbcaccabbbaadcabbaacaaddbaabcbbacccaabaaabcaabcacaacaadbbaabacaadbababcaaabaaaabbbaaaabccabaccdabaaccbbbacdaaaddbcadabaddcbaaccababbcabdacabbbbaabbbbaacbbaabbdcaddaaabbcabbdbdabaaabaabdacddaaaabaaaccbaaccbaaababcbcdadacabccbdbbbaabdcaabbbacaddcbcbadbababddabbababbaccababaccbcdadaaabababaaaabbbcdaccacbaaaacbcaaabacabaabdbcdbadcaacacaaaccbaaabbcadbbaaacabcabcbcaaababbbaaccaaaaaacbcaaccacabdacbbabbbcaabacaabbbaadbacaacabaacdcccaaabdbcccabbbbaacacaadbcbdaaacccdcbabaaabcbabbbbcccaacbcaacaabbbbaaabbdacccddadaaaacbcaaabbabadbaabaaaabbbbababababaabbbdadbcaabcbdabaabacbabaacababacacabcabbbacbcabbbacbbcabaacabcabbaaabbbdacaaaacbaabdcabdacbbacbbbabbbbbbbbbdabcaccabaaaaabcbcbdbbbacccbbadccbadabbccaabcacdacbacdaaabaacdaabbacbbaaaacbcbaacccbadaccdcbbababaaccabcacaacbaacccacaaabaabbdaabbbcbbbaaacbababbbbdacddbdbbdabbcbaacbaababacadccbaadcabccdcabbbbcbbcaacabaacdaabdcbbddbddaaadaaabbacababbbcaaabbadbabcdaaaaaaabcaaaaaaddbbabbaaaabbbbcbaacaaaaacadbbabccbbaaacabbbabbddbaaadabccdabcbaaacabbabaadacbcaabcbcaacaadccbcbbcccaaabcaababcbbacacaccbdcbababdcbaaaadbdbcaccacadbbaaaacdbdbcaaadadcbcbcaaddbaadbaabbcacabcaacaddbbcddabacdaaaacccbcddaadbdbbabaababbbcaaabccdbacabaaddbadaaaccbaaaaacaabaabcaababaaaabdadbbdbcccdcadbcaaaabbbaccabbaaaaabccbadbdcbbbbaabbdbbaaaaadccabdaaacaabacdabcbbadcabbabbaacaacbbbbacabbbcabdbabaaabddaaacdbbaabbabbbbbbaabbacbcbabdbdbdcdccbaaaaababbabcacaaaabbbaabbbbaaadcbbbababaccbbbacaaaaaabccaddbaaddcbaadbabacabaaaaaabaacbbddcdaababaabbdcddbbcbabaccaacaaaaabdccbcacabccabbaababacbaaaadcaadacaadcaaaacbcadaccaacbbccabbaaabbcabbbdbaaaacc\n",
            "Entropy of the alphabet =  987.8636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'c', 2: 'cc', 3: 'ca', 4: 'b', 5: 'cac', 6: 'a', 7: 'd', 8: 'caa', 9: 'aa', 10: 'aab', 11: 'ba', 12: 'cca', 13: 'bb', 14: 'bc', 15: 'db', 16: 'ac', 17: 'bcc', 18: 'aaba', 19: 'cb', 20: 'acc', 21: 'caab', 22: 'caaa', 23: 'dd', 24: 'bba', 25: 'aca', 26: 'acd', 27: 'accb', 28: 'ad', 29: 'dda', 30: 'aaa', 31: 'bab', 32: 'aabb', 33: 'acb', 34: 'baa', 35: 'bcd', 36: 'bbac', 37: 'acaa', 38: 'babb', 39: 'ab', 40: 'ada', 41: 'dc', 42: 'dba', 43: 'cba', 44: 'cbab', 45: 'dbc', 46: 'abd', 47: 'aabbb', 48: 'ccd', 49: 'caaad', 50: 'cab', 51: 'ccc', 52: 'bcb', 53: 'aba', 54: 'bbc', 55: 'bcba', 56: 'abc', 57: 'ddb', 58: 'bac', 59: 'dcc', 60: 'da', 61: 'aaab', 62: 'bca', 63: 'ccb', 64: 'baca', 65: 'abdb', 66: 'bcaa', 67: 'cbc', 68: 'bd', 69: 'adb', 70: 'aaaba', 71: 'cd', 72: 'bdc', 73: 'babc', 74: 'aad', 75: 'adc', 76: 'abab', 77: 'caaab', 78: 'aabc', 79: 'bccc', 80: 'caba', 81: 'abb', 82: 'aac', 83: 'caaabb', 84: 'baad', 85: 'bbcc', 86: 'adba', 87: 'babcc', 88: 'abbc', 89: 'baac', 90: 'abad', 91: 'accbc', 92: 'acbb', 93: 'adab', 94: 'aabab', 95: 'abbca', 96: 'bcad', 97: 'acdc', 98: 'baadb', 99: 'dab', 100: 'bbacb', 101: 'acba', 102: 'acab', 103: 'aaabb', 104: 'bbb', 105: 'bbab', 106: 'bacab', 107: 'daa', 108: 'cbb', 109: 'add', 110: 'cbaba', 111: 'bcadc', 112: 'aacd', 113: 'acbd', 114: 'aabca', 115: 'aaad', 116: 'babd', 117: 'aaada', 118: 'aaadc', 119: 'abac', 120: 'babbc', 121: 'acca', 122: 'bcbc', 123: 'acbaa', 124: 'abca', 125: 'abaa', 126: 'aaadca', 127: 'acaab', 128: 'cbcb', 129: 'cacc', 130: 'abbb', 131: 'aadc', 132: 'abba', 133: 'acaad', 134: 'dbaa', 135: 'bcbb', 136: 'accc', 137: 'aabaa', 138: 'abcaa', 139: 'bcac', 140: 'aaca', 141: 'adbb', 142: 'aabac', 143: 'aadb', 144: 'ababc', 145: 'aaabaa', 146: 'aabbba', 147: 'aaabc', 148: 'cabac', 149: 'cda', 150: 'baacc', 151: 'bbba', 152: 'cdaa', 153: 'addb', 154: 'cad', 155: 'abadd', 156: 'cbaa', 157: 'ccab', 158: 'abbcab', 159: 'dac', 160: 'abbbb', 161: 'aabbbb', 162: 'aacb', 163: 'baab', 164: 'bdca', 165: 'ddaa', 166: 'abbcabb', 167: 'dbd', 168: 'abaaa', 169: 'baabd', 170: 'acdd', 171: 'aaaa', 172: 'baaa', 173: 'ccba', 174: 'accba', 175: 'aababc', 176: 'bcda', 177: 'daca', 178: 'bccb', 179: 'dbb', 180: 'baabdc', 181: 'aabbbac', 182: 'addc', 183: 'bcbad', 184: 'baba', 185: 'bdd', 186: 'abbab', 187: 'abbac', 188: 'cabab', 189: 'accbcd', 190: 'adaa', 191: 'ababa', 192: 'baaaa', 193: 'bbbc', 194: 'dacc', 195: 'acbaaa', 196: 'acbc', 197: 'aaabac', 198: 'abaab', 199: 'dbcd', 200: 'bad', 201: 'caac', 202: 'acaaa', 203: 'ccbaa', 204: 'abbcad', 205: 'bbaa', 206: 'acabc', 207: 'abcb', 208: 'caaaba', 209: 'bbbaa', 210: 'ccaa', 211: 'aaaac', 212: 'bcaac', 213: 'caca', 214: 'bda', 215: 'cbba', 216: 'bbbca', 217: 'abaca', 218: 'abbba', 219: 'adbac', 220: 'aacab', 221: 'aacdc', 222: 'ccaaa', 223: 'bdb', 224: 'ccca', 225: 'bbbb', 226: 'aacac', 227: 'aadbc', 228: 'bdaa', 229: 'acccd', 230: 'cbabaa', 231: 'abcba', 232: 'bbbbc', 233: 'ccaac', 234: 'bcaaca', 235: 'abbbba', 236: 'aabbd', 237: 'acccdd', 238: 'adaaa', 239: 'acbca', 240: 'aabba', 241: 'badb', 242: 'aabaaa', 243: 'abbbbab', 244: 'ababab', 245: 'aabbbd', 246: 'adbc', 247: 'aabcb', 248: 'daba', 249: 'abacb', 250: 'abaac', 251: 'ababac', 252: 'acabca', 253: 'bbbac', 254: 'bcab', 255: 'bbacbb', 256: 'cabaa', 257: 'cabc', 258: 'abbaa', 259: 'abbbd', 260: 'acaaaa', 261: 'cbaab', 262: 'dca', 263: 'bdac', 264: 'bbacbbb', 265: 'abbbbb', 266: 'bbbbd', 267: 'abcac', 268: 'cabaaa', 269: 'aabcbc', 270: 'bdbb', 271: 'bacc', 272: 'cbbad', 273: 'ccbad', 274: 'abbcc', 275: 'aabcac', 276: 'dacb', 277: 'acda', 278: 'aabaac', 279: 'daab', 280: 'bacb', 281: 'baaaac', 282: 'bcbaa', 283: 'cccb', 284: 'adac', 285: 'cdc', 286: 'bbaba', 287: 'baacca', 288: 'bcaca', 289: 'acbaac', 290: 'ccac', 291: 'aaabaab', 292: 'bdaab', 293: 'bbcb', 294: 'bbaaa', 295: 'cbabab', 296: 'bbbd', 297: 'acddb', 298: 'dbbd', 299: 'abbcb', 300: 'aacba', 301: 'ababaca', 302: 'dccb', 303: 'aadca', 304: 'bccd', 305: 'cabb', 306: 'bbcbb', 307: 'caaca', 308: 'baacd', 309: 'aabd', 310: 'cbbd', 311: 'dbdd', 312: 'aaadaa', 313: 'abbaca', 314: 'babbb', 315: 'caaabba', 316: 'dbab', 317: 'cdaaa', 318: 'aaaab', 319: 'caaaa', 320: 'aadd', 321: 'bbabb', 322: 'aaaabb', 323: 'bbcba', 324: 'acaaaaa', 325: 'cadb', 326: 'babccb', 327: 'baaac', 328: 'abbbab', 329: 'bddb', 330: 'aaadab', 331: 'ccda', 332: 'bcbaaa', 333: 'cabba', 334: 'baada', 335: 'cbca', 336: 'abcbc', 337: 'aacaa', 338: 'dccbc', 339: 'bbccc', 340: 'aaabca', 341: 'ababcb', 342: 'bacac', 343: 'accbd', 344: 'cbababd', 345: 'cbaaa', 346: 'adbd', 347: 'bcacc', 348: 'acad', 349: 'bbaaaa', 350: 'cdb', 351: 'dbca', 352: 'aada', 353: 'dcb', 354: 'cbcaa', 355: 'ddba', 356: 'adbaa', 357: 'bbca', 358: 'cabca', 359: 'acadd', 360: 'bbcd', 361: 'dabac', 362: 'daaa', 363: 'acccb', 364: 'cdd', 365: 'aadbd', 366: 'bbabaa', 367: 'babbbc', 368: 'aaabcc', 369: 'dbac', 370: 'abaad', 371: 'dbad', 372: 'aaac', 373: 'cbaaaa', 374: 'acaaba', 375: 'abcaab', 376: 'abaaaa', 377: 'bdad', 378: 'bbd', 379: 'bcccd', 380: 'cadbc', 381: 'aaaabbb', 382: 'accab', 383: 'baaaaa', 384: 'bccba', 385: 'dbdc', 386: 'bbbba', 387: 'abbd', 388: 'bbaaaaa', 389: 'dcca', 390: 'bdaaa', 391: 'caaba', 392: 'cdab', 393: 'cbbadc', 394: 'abbabb', 395: 'aacaac', 396: 'bbbbac', 397: 'abbbc', 398: 'abdba', 399: 'baaab', 400: 'ddaaa', 401: 'cdbb', 402: 'aabbab', 403: 'bbbbb', 404: 'aabbac', 405: 'bcbab', 406: 'dbdb', 407: 'dcd', 408: 'ccbaaa', 409: 'aababb', 410: 'abcaca', 411: 'aaabbb', 412: 'aabbbba', 413: 'aadcb', 414: 'bbabab', 415: 'accbb', 416: 'bacaa', 417: 'aaaabc', 418: 'cadd', 419: 'baadd', 420: 'cbaad', 421: 'babac', 422: 'abaaaaa', 423: 'abaacb', 424: 'bddc', 425: 'daaba', 426: 'baabb', 427: 'dcdd', 428: 'bbcbab', 429: 'accaa', 430: 'caaaaa', 431: 'bdcc', 432: 'bcacab', 433: 'ccabb', 434: 'aababa', 435: 'cbaaaad', 436: 'caad', 437: 'acaadc', 438: 'aaaacb', 439: 'cada', 440: 'ccaacb', 441: 'bcca', 442: 'bbaaab', 443: 'bcabb', 444: 'bdba', 445: 'aaacc', 446: 'ccbc', 447: 'caaadbb', 448: 'dbbac', 449: 'aabaaaa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'd': 0, 'da': 7, 'ab': 6, 'aa': 6, 'ad': 6, 'bb': 4, 'aaa': 9, 'aba': 39, 'ac': 6, 'acb': 16, 'c': 0, 'cc': 1, 'adb': 28, 'ccc': 2, 'ca': 1, 'abab': 53, 'bba': 13, 'cad': 3, 'aab': 9, 'abaa': 53, 'ccd': 2, 'ba': 4, 'bab': 11, 'bbaa': 24, 'cb': 1, 'db': 7, 'cac': 3, 'acc': 16, 'bc': 4, 'bd': 4, 'abc': 39, 'dbb': 15, 'acca': 20, 'bac': 11, 'baca': 58, 'bbab': 24, 'caa': 3, 'ccda': 48, 'acbb': 33, 'aaab': 30, 'aabd': 10, 'bbb': 13, 'aad': 9, 'dbc': 15, 'bcb': 14, 'dba': 15, 'abaaa': 125, 'acbbb': 170, 'bbd': 13, 'ababa': 76, 'bcba': 52, 'abcb': 56, 'dab': 60, 'bca': 14, 'cacd': 25, 'aac': 9, 'abb': 39, 'baba': 31, 'babb': 31, 'babab': 60, 'baa': 11, 'bbaaa': 205, 'aca': 16, 'cbc': 19, 'cccb': 51, 'aaba': 10, 'dc': 7, 'bbac': 24, 'bbdc': 51, 'aada': 74, 'bbbb': 104, 'bbbc': 104, 'acba': 33, 'bbba': 104, 'dcd': 41, 'bacc': 58, 'acbd': 33, 'bcab': 62, 'dbba': 115, 'ababc': 76, 'cab': 3, 'ada': 28, 'dd': 7, 'aacb': 82, 'aaaa': 30, 'babaa': 195, 'abaab': 125, 'aabaa': 18, 'cca': 2, 'abac': 53, 'abd': 39, 'adab': 40, 'bcaa': 62, 'acbc': 33, 'cd': 1, 'dcb': 41, 'baaa': 34, 'aaca': 82, 'caad': 8, 'acbba': 88, 'caaa': 8, 'abbc': 81, 'bbc': 13, 'caab': 8, 'cbcc': 66, 'caba': 50, 'aaaaa': 38, 'baaab': 172, 'aabb': 10, 'bcc': 14, 'baaaba': 110, 'acbaa': 101, 'dac': 60, 'acbbba': 50, 'ababb': 60, 'caadd': 101, 'cbb': 19, 'abca': 56, 'bcbb': 52, 'bacaa': 64, 'caca': 5, 'aaaab': 171, 'aadab': 72, 'abcad': 120, 'adc': 28, 'bdc': 68, 'aaaabd': 124, 'aabad': 15, 'babad': 60, 'abba': 81, 'abdd': 234, 'cbbb': 198, 'baaac': 172, 'baad': 34, 'baada': 84, 'bacac': 64, 'aadaba': 125, 'bbcb': 54, 'aacd': 82, 'cbd': 36, 'aabba': 32, 'acd': 16, 'bacb': 58, 'cba': 19, 'bbbbb': 225, 'bccb': 17, 'bbacb': 36, 'bcac': 62, 'acac': 72, 'baaaa': 172, 'abaaaa': 168, 'bda': 68, 'acbbad': 102, 'aacab': 140, 'adaa': 40, 'acda': 26, 'acbad': 75, 'adba': 69, 'aaaad': 38, 'bcbbb': 121, 'ddb': 23, 'cbaa': 43, 'bccba': 178, 'cadc': 155, 'babc': 31, 'bad': 11, 'cabaa': 80, 'aabac': 18, 'dbcc': 137, 'acab': 25, 'cbbd': 108, 'cabac': 80, 'bccc': 17, 'babca': 163, 'aabc': 10, 'bdb': 68, 'acacb': 75, 'abaaab': 111, 'acaca': 75, 'bababa': 62, 'aacdc': 112, 'aaaaaa': 222, 'baaaaa': 192, 'bcbab': 55, 'cbda': 142, 'bcbbc': 121, 'bbaac': 84, 'adbaa': 86, 'abaabc': 210, 'adca': 127, 'babcc': 73, 'acbca': 196, 'bbaaab': 294, 'abbcb': 88, 'abdb': 46, 'babaac': 88, 'cacb': 25, 'dcba': 247, 'acaa': 25, 'bdcd': 128, 'aaaaaaa': 184, 'cadcb': 166, 'dbbb': 115, 'cbac': 5, 'cbca': 67, 'aaaadb': 161, 'aaaabb': 318, 'aabdb': 43, 'dbca': 45, 'bbabb': 105, 'bcaab': 95, 'cbcd': 66, 'cabacc': 174, 'acaac': 135, 'cacab': 411, 'cabaaa': 256, 'aabca': 78, 'baac': 34, 'dabb': 130, 'acabb': 89, 'cbccb': 107, 'caaba': 21, 'dcbb': 98, 'bcaaa': 95, 'abda': 234, 'abbd': 81, 'aaabc': 61, 'dbaa': 42, 'aadb': 74, 'babccb': 87, 'ccca': 51, 'acaaa': 37, 'acaba': 89, 'cacaba': 217, 'cdb': 71, 'aaac': 30, 'ccab': 12, 'aadbb': 117, 'cbaca': 206, 'abcadb': 126, 'aaaba': 61, 'bbaacd': 189, 'dca': 41, 'cccbc': 67, 'ccdad': 40, 'bcaad': 95, 'acbac': 50, 'ccad': 139, 'abaabb': 89, 'babba': 79, 'abdba': 65, 'aadd': 74, 'cbad': 118, 'dcc': 41, 'add': 28, 'adbd': 69, 'cbbc': 147, 'aaabb': 61, 'bacba': 129, 'badb': 200, 'cbba': 108, 'acacaa': 181, 'dabc': 130, 'dabd': 92, 'aadbc': 143, 'adaaa': 190, 'dbab': 42, 'adbdc': 258, 'accc': 20, 'dbabc': 269, 'aacaa': 140, 'acad': 25, 'dbbaa': 81, 'abcc': 19, 'babbac': 252, 'abad': 53, 'cabb': 50, 'abcac': 124, 'ababaa': 77, 'bcbd': 91, 'dbd': 15, 'aacba': 162, 'adad': 61, 'cbcb': 67, 'acbcc': 96, 'aadba': 231, 'bbbab': 164, 'adaba': 94, 'cbbad': 215, 'bbda': 94, 'caaac': 103, 'cacc': 5, 'abbdc': 228, 'aacdb': 141, 'abbaa': 132, 'abcaa': 124, 'bbabba': 212, 'accac': 35, 'acbccb': 287, 'cabc': 50, 'cbdc': 339, 'cacad': 123, 'aadc': 74, 'aaabab': 141, 'accb': 20, 'abbb': 81, 'bdad': 214, 'babbaa': 252, 'aacaaa': 391, 'aabcaa': 219, 'abbab': 132, 'adbda': 258, 'caac': 8, 'abdaa': 227, 'aaad': 30, 'acdab': 158, 'abcd': 55, 'babaaa': 88, 'acaab': 37, 'baab': 34, 'dbdc': 167, 'ccaa': 12, 'aabaaa': 137, 'aaaac': 171, 'bcabc': 86, 'baaca': 217, 'aacaba': 156, 'baabc': 28, 'babadc': 131, 'dad': 17, 'bacbc': 129, 'aabacc': 170, 'abaaba': 119, 'aaaaaad': 184, 'ddba': 57, 'baaad': 23, 'cabba': 305, 'aabbb': 32, 'abaca': 119, 'bacbab': 261, 'daa': 60, 'aabcaac': 312, 'bcbc': 52, 'aaaaca': 74, 'bacaab': 122, 'accba': 27, 'dda': 23, 'bbcba': 293, 'caaad': 22, 'baacb': 217, 'abbbc': 130, 'cbaac': 270, 'bcca': 17, 'bbbaa': 151, 'bbbca': 193, 'babcb': 373, 'cdbd': 237, 'caabb': 70, 'cbbba': 176, 'abcab': 93, 'bbbbbb': 147, 'bdbb': 223, 'dbaab': 124, 'cbcdc': 214, 'bcaca': 139, 'cda': 71, 'caaaa': 22, 'caabaa': 224, 'accbac': 64, 'bcacaa': 367, 'abbbb': 130, 'acaaca': 315, 'babd': 31, 'ccb': 2, 'bbbcc': 78, 'bbbd': 104, 'aabbab': 240, 'bacaca': 138, 'baaaac': 192, 'addb': 109, 'aacaab': 378, 'accca': 271, 'ababbc': 117, 'cadb': 154, 'ccaad': 324, 'adcab': 192, 'caccb': 294, 'aaabcb': 152, 'babbc': 38, 'bbad': 30, 'bcbad': 55, 'caaadb': 351, 'babcd': 167, 'baabb': 163, 'dcaa': 245, 'caabba': 360, 'aadbcc': 267, 'abaabcb': 191, 'accaa': 121, 'ccbb': 87, 'bdbd': 178, 'caacd': 315, 'abbdd': 228, 'adbdab': 314, 'abbbbb': 160, 'aaacb': 128, 'baabbc': 355, 'aabdbb': 210, 'aabcb': 78, 'abbaaa': 297, 'bdba': 223, 'daaa': 107, 'bbaba': 105, 'acaaab': 234, 'abbbba': 160, 'bbadb': 392, 'dbaac': 230, 'cccbcc': 246, 'cabd': 83, 'cccd': 16, 'ccaab': 324, 'bdcb': 128, 'dbac': 42, 'baaabd': 110, 'adda': 257, 'acacab': 181, 'aaaaab': 222, 'cbcbd': 286, 'cbcba': 202, 'abdbd': 197, 'aacc': 6, 'abbabb': 186, 'abbca': 88, 'cbaaa': 156, 'abbba': 130, 'dbda': 283, 'bdaa': 214, 'abcca': 276, 'abacaa': 355, 'bacad': 82, 'dcbab': 200, 'abbbbaa': 417, 'acbdb': 79, 'cdc': 71, 'caaadbb': 394, 'dbbac': 81, 'aabaaaa': 325, 'cbab': 43, 'bacd': 10, 'cbaba': 44, 'bada': 32, 'ddc': 42, 'ddd': 8, 'aaada': 115, 'cbdd': 57, 'bbcbb': 293, 'accbb': 27, 'abdbb': 27, 'cbabaa': 110, 'bbdb': 40, 'aaadb': 95, 'cbdb': 339, 'caabc': 108, 'aabaab': 82, 'bbabc': 108, 'bbcc': 54, 'aaaca': 43, 'accbc': 27, 'abbac': 132, 'addbb': 116, 'bbca': 54, 'aaacd': 43, 'cbdba': 110, 'aabaaba': 121, 'bcd': 14, 'cbabb': 14, 'cacba': 78, 'cabab': 80, 'dbaaa': 124, 'abdab': 134, 'dbbc': 166, 'daab': 107, 'adac': 40, 'abbaab': 92, 'abbbd': 130, 'caadb': 73, 'abbad': 41, 'aabab': 18, 'babbb': 38, 'adcd': 131, 'babbab': 80, 'bbabbc': 150, 'abcba': 207, 'cacbd': 78, 'bcaba': 86, 'ddab': 57, 'dcca': 59, 'abacc': 142, 'aacca': 33, 'caadc': 160, 'aaacba': 215, 'caaca': 201, 'abaccc': 218, 'aaaaba': 54, 'acbda': 65, 'aabaabb': 121, 'bcacb': 290, 'acbbc': 170, 'dacb': 159, 'aaaabaa': 155, 'cbabbd': 153, 'addbbc': 142, 'aaccaa': 219, 'aabaabaa': 146, 'babcac': 231, 'bbbda': 203, 'bbcd': 54, 'cabaab': 245, 'aaacab': 136, 'dacc': 159, 'dccc': 97, 'aaaada': 69, 'abbcc': 88, 'abbcbd': 259, 'bbcbd': 63, 'dbaaaa': 162, 'dbacd': 103, 'caabd': 108, 'aaacaa': 211, 'ababac': 191, 'baaacd': 194, 'cbbbd': 176, 'aabbbb': 47, 'bbcca': 133, 'dbaaba': 188, 'abcda': 96, 'aababb': 94, 'caacc': 211, 'cabad': 122, 'bacaaa': 296, 'aababa': 94, 'daac': 149, 'abbada': 180, 'acabaa': 187, 'daaaa': 103, 'cccc': 241, 'bbbaac': 224, 'dbaca': 103, 'aacac': 140, 'bcabd': 86, 'bbdbb': 95, 'dbdca': 244, 'dbbd': 179, 'bdd': 68, 'baacbd': 279, 'cdab': 149, 'dada': 42, 'abbcca': 267, 'abaac': 125, 'ababaca': 251, 'bdbab': 184, 'cdac': 83, 'abacb': 119, 'cccab': 260, 'daca': 159, 'cbabc': 14, 'acacc': 337, 'caabdb': 280, 'cbbda': 295, 'ababacb': 282, 'aababaa': 298, 'baabcb': 325, 'aacacc': 126, 'ddabb': 205, 'acdb': 59, 'bbbcb': 78, 'baaaca': 194, 'baabd': 163, 'accd': 18, 'abaacb': 250, 'aabcba': 84, 'acaaac': 174, 'aaabba': 80, 'caadbb': 179, 'badbb': 300, 'cdaba': 321, 'bcacba': 235, 'babbba': 182, 'bbacc': 358, 'aadda': 324, 'dadc': 42, 'dbcd': 45, 'aaccab': 219, 'bccbb': 79, 'aaaabac': 230, 'aaacabb': 258, 'abaaca': 330, 'ababab': 191, 'bbbac': 151, 'cbadb': 115, 'cbbbaa': 248, 'bdab': 46, 'dccca': 264, 'cbabd': 14, 'bcad': 62, 'bccab': 98, 'bcadd': 404, 'aaabaa': 70, 'baacac': 364, 'ccabc': 210, 'bcacbc': 235, 'cdca': 227, 'aaadab': 117, 'aaacc': 372, 'abacbc': 340, 'cbabac': 32, 'cbcbac': 234, 'dcbc': 247, 'bccaa': 98, 'babac': 184, 'ababbd': 240, 'abccc': 278, 'baabba': 334, 'acabbc': 99, 'ccdb': 222, 'bccac': 98, 'adaac': 66, 'aaaaabb': 374, 'caadbc': 120, 'accbba': 90, 'adaaaa': 284, 'baaba': 28, 'bdabd': 398, 'ccbc': 415, 'aabbd': 32, 'aaccc': 33, 'aaabd': 66, 'aabbaa': 35, 'acabc': 102, 'aabdc': 91, 'dbabb': 100, 'dbad': 42, 'aabcbb': 84, 'aacbc': 52, 'aabcbd': 84, 'baabcc': 56, 'bbbbc': 225, 'acabca': 206, 'bdbc': 85, 'aabbac': 240, 'bccbaa': 128, 'acccb': 136, 'dccd': 143, 'ababad': 77, 'dbdb': 167, 'aabbba': 47, 'abbbaa': 138, 'aabcbda': 132, 'aabcbba': 127, 'bdbcb': 153, 'caaab': 22, 'bacdc': 68, 'aabbaaa': 81, 'aaacda': 101, 'acabab': 187, 'dbcab': 140, 'abcabb': 207, 'bccd': 17, 'cada': 154, 'bbbbca': 148, 'cdd': 71, 'abbbaaa': 178, 'aabbacd': 156, 'abacab': 147, 'dcac': 65, 'baabccd': 134, 'acbcb': 105, 'abaad': 125, 'bacaac': 209, 'bccbbc': 133, 'abababb': 107, 'bcbba': 206, 'cdaa': 149, 'aaacac': 211, 'aaabdc': 74, 'baaadb': 179, 'daba': 99, 'dbcac': 140, 'bbbba': 225, 'aaadbb': 171, 'adbc': 69, 'ddbd': 90, 'abacd': 142, 'abbaac': 190, 'acbab': 50, 'dccdb': 165, 'aadac': 163, 'bccdd': 216, 'aacccc': 69, 'bccbbb': 133, 'ddcd': 232, 'babdd': 98, 'dbcad': 140, 'aaaabab': 155, 'aabcbab': 281, 'abcaaa': 144, 'dcab': 65, 'cabacb': 229, 'baabad': 274, 'dbbba': 235, 'ddac': 57, 'baabca': 56, 'abdc': 234, 'bdbcbc': 184, 'aabacb': 158, 'accab': 121, 'baccc': 268, 'aaacacd': 248, 'daaac': 103, 'ccba': 63, 'bbaab': 99, 'baaacc': 40, 'caaabb': 77, 'dbabd': 100, 'badc': 32, 'abbbca': 344, 'caada': 73, 'cddd': 220, 'bbaaaa': 294, 'cccba': 247, 'baaaaaa': 358, 'ccbad': 173, 'caaabbd': 340, 'aacccb': 69, 'ccbbb': 365, 'baacc': 89, 'badbd': 125, 'aaaaaab': 224, 'cbaad': 156, 'aaabaaa': 329, 'bacdb': 68, 'baaaaaaa': 359, 'adbb': 69, 'bacadc': 279, 'ccbadc': 360, 'acabaaa': 230, 'acdc': 26, 'aabaca': 158, 'babbbb': 197, 'acbbd': 170, 'dcacb': 231, 'baabaa': 274, 'acccbc': 164, 'abadb': 315, 'cbbac': 297, 'dbdbb': 167, 'bbacd': 245, 'acccbca': 407, 'bbabca': 200, 'adbad': 367, 'baaada': 179, 'cadad': 217, 'adcb': 392, 'dbabbc': 113, 'bcbcb': 256, 'aaaaaba': 380, 'acbabc': 283, 'cbbbc': 422, 'baccb': 268, 'babcca': 377, 'baadb': 84, 'bacab': 64, 'bcadc': 96, 'aaadc': 115, 'aaadca': 118, 'acaad': 37, 'abadd': 90, 'abbcab': 95, 'bdca': 72, 'ddaa': 29, 'abbcabb': 158, 'acdd': 26, 'aababc': 94, 'bcda': 35, 'baabdc': 169, 'aabbbac': 146, 'addc': 109, 'accbcd': 91, 'acbaaa': 123, 'aaabac': 70, 'ccbaa': 173, 'abbcad': 95, 'caaaba': 77, 'bcaac': 66, 'adbac': 86, 'ccaaa': 210, 'acccd': 136, 'ccaac': 210, 'bcaaca': 212, 'acccdd': 229, 'abbbbab': 235, 'aabbbd': 47, 'bbacbb': 100, 'acaaaa': 202, 'cbaab': 156, 'bdac': 214, 'bbacbbb': 255, 'bbbbd': 225, 'aabcbc': 247, 'aabcac': 114, 'aabaac': 137, 'bcbaa': 55, 'baacca': 150, 'acbaac': 123, 'ccac': 12, 'aaabaab': 145, 'bdaab': 228, 'cbabab': 110, 'acddb': 170, 'dccb': 59, 'aadca': 131, 'baacd': 89, 'dbdd': 167, 'aaadaa': 117, 'abbaca': 187, 'caaabba': 83, 'cdaaa': 152, 'acaaaaa': 260, 'abbbab': 218, 'bddb': 185, 'bcbaaa': 282, 'abcbc': 207, 'dccbc': 302, 'bbccc': 85, 'aaabca': 147, 'ababcb': 144, 'accbd': 27, 'cbababd': 295, 'bcacc': 139, 'cbcaa': 335, 'cabca': 257, 'acadd': 348, 'dabac': 248, 'aadbd': 143, 'bbabaa': 286, 'babbbc': 314, 'aaabcc': 147, 'cbaaaa': 345, 'acaaba': 127, 'abcaab': 138, 'bcccd': 79, 'cadbc': 325, 'aaaabbb': 322, 'bbaaaaa': 349, 'bdaaa': 228, 'cbbadc': 272, 'aacaac': 337, 'bbbbac': 386, 'ddaaa': 165, 'cdbb': 350, 'ccbaaa': 203, 'abcaca': 267, 'aaabbb': 103, 'aabbbba': 161, 'aadcb': 131, 'bbabab': 286, 'aaaabc': 318, 'cadd': 154, 'baadd': 84, 'abaaaaa': 376, 'bddc': 185, 'daaba': 279, 'dcdd': 407, 'bbcbab': 323, 'caaaaa': 319, 'bdcc': 72, 'bcacab': 288, 'ccabb': 157, 'cbaaaad': 373, 'acaadc': 133, 'aaaacb': 211, 'ccaacb': 233, 'bcabb': 254}\n",
            "With LZ compression, the number of bits needed is ((NB)): 7633\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  17\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "The random sequnce generated with size =  2000 symbols is  bababadbaaacbbababbaccababdabbbabbbcaaccaaacddbbaabbcadabbaaccaadbbbcccccdbddbadbdcabcbbcdbccabcbabcadaacabddcbabadcccacaccaacbabccababbcbcabbabccdbbcaabbbdcdcabdabadbcbadadbcbaacdacabbbaabaaadbcacaaccabbaccabacbcbbbbdabbabbcdadaababaaababadcabbaacbacaacacadbbadacacccbabaabacbbbaaacaaaaadbaaaaaabcdabbaaabbccdaabbbddadaaabaabaabdcbacaabacaabaaaadaccadaaaabbccabaaaaacbacaaaaaaabaaabaaaabcadaacbbabbbaccbaacabcdcbbddcabccbbcaaabccdbaadaabbacaaaabbadccaaccbcbaabbbabbbbcaaaaaaacbdbbabbaabbbababdcccbabcbcddaabcacbacddcabbacdcdbbabbcaabcaabbbacbddcdbaaaccaaaabcbabccaabbabdbbabccacbdbacbaaaabbcbababddbcacaaadbadcbbacdaabccaacbabcbaacbcdbaacbcdaabaabcdacbabbbabaabcaaaabcaabbdacbaadbaababbaaaadccbaabbaaacaaccadadadcaaabaccbbdbaaacacbbcbaccaadaabbcbdcbabbdaaacaccbaadadcbacbbabdccccabaabcaadcbccdbcadaaccaaabaaaaaabaaacaccbabbbbdaabbcbcaacaababcaababcaabaccdabacbacabbaadcbaabacabcbcbdccbaccbcdaaaaaaacbdcbbaacccacaadcbdbabacdbbcaacbaacbcbaabacbabbbabaaabacbaabbbcbaaabbaccaabdaaaabbabaddcccdaaccaaaaaabcdbaadababbacbbdbcaadccbcabaacabadaaaabbaccdcbdcacacaabbaacaddcdaaaabcacdbcaacbcbaddbcbaabdbcbaaabaaaaacbadacadadaabdccacdbcaabaadadaadbbbababbcaabddadaabbbcabdcaccaaaababbbdbccacaabcacacaaaaacababababbcabaadabbadcabcadadadaacdccccaacadaabbcaabdcbacbcbdcabbbaaabcabbdcbabbabcacbaaaaacaacbbabcbbadadbcbabbdabcacdccacbadbcbbaaabaaaaaabbaccabbbaabbcabdaaabdabaabccdbbccaaabccacaacdaababbbaaabbaccbbdccbbadbbacabbdbacbbacbbcccdbacabbaadcaadacddabaccadcbcaaababbdcaaaabdaacabaaaabaaccacdbbabadbcaaabbaaabbbbabbbcabdbbabdbabbadbacbabbbbaaabaaababaabcaabbbcaacbccbbabaadacbaaabbaabdbbbacdcadbabaabbaaaaabcaaabaacbabbbbacbbababbdbaaaaaabadbadcacbbbacbcbacbbbbababcaaaaaaaacabccbbbaabaacbdabacbbadaccccabbbbaababbabbbcbabbbabbabbdbabbcbaaacaaaaaddccbbbbaadbbdbaaadccdbcacabaacaaaadaacabaabccccaccaccacdababbbababcaacbcabacacbaaabbdabbabbccadbdcbabbbabdbaaaaaadababbaabbbdccbcdabadaabbbdcbacabaabaacababcaaccbabbacaacbcaabcbdbdcdcaaaaacbbccadaabbaabbaabcbdccaadbcabdbaaaaaaaadcadaadbacbccdaadcadbabcadaaaaacab\n",
            "Entropy of the alphabet =  987.8636068026093 bit/ symbol\n",
            "Parsing data with number assigned each: \n",
            " {1: 'b', 2: 'a', 3: 'ba', 4: 'bad', 5: 'baa', 6: 'ac', 7: 'bb', 8: 'ab', 9: 'abb', 10: 'acc', 11: 'aba', 12: 'bd', 13: 'abbb', 14: 'abbbc', 15: 'aa', 16: 'c', 17: 'ca', 18: 'aac', 19: 'd', 20: 'db', 21: 'baab', 22: 'bc', 23: 'ad', 24: 'abba', 25: 'acca', 26: 'adb', 27: 'bbc', 28: 'cc', 29: 'ccd', 30: 'bdd', 31: 'badb', 32: 'dc', 33: 'abc', 34: 'bbcd', 35: 'bcc', 36: 'abcb', 37: 'abca', 38: 'da', 39: 'aca', 40: 'bddc', 41: 'bab', 42: 'adc', 43: 'cca', 44: 'cac', 45: 'caa', 46: 'cb', 47: 'abcc', 48: 'abab', 49: 'bcb', 50: 'cab', 51: 'babc', 52: 'cd', 53: 'bbca', 54: 'abbbd', 55: 'cdc', 56: 'abd', 57: 'abad', 58: 'bcba', 59: 'dad', 60: 'bcbaa', 61: 'cda', 62: 'cabb', 63: 'baaba', 64: 'aad', 65: 'bca', 66: 'caac', 67: 'cabba', 68: 'ccab', 69: 'acb', 70: 'cbb', 71: 'bbd', 72: 'abbab', 73: 'bcd', 74: 'ada', 75: 'ababa', 76: 'aab', 77: 'abadc', 78: 'abbaa', 79: 'cba', 80: 'caaca', 81: 'cad', 82: 'bba', 83: 'dac', 84: 'accc', 85: 'baba', 86: 'abac', 87: 'bbb', 88: 'aaa', 89: 'caaa', 90: 'aadb', 91: 'aaaa', 92: 'aabc', 93: 'dab', 94: 'baaa', 95: 'bbcc', 96: 'daa', 97: 'bbbd', 98: 'dada', 99: 'aaba', 100: 'abaa', 101: 'bdc', 102: 'bac', 103: 'aabac', 104: 'aabaa', 105: 'aada', 106: 'ccad', 107: 'aaaab', 108: 'bcca', 109: 'baaaa', 110: 'acba', 111: 'caaaa', 112: 'aaab', 113: 'aaaba', 114: 'aaabc', 115: 'adaa', 116: 'cbba', 117: 'bbba', 118: 'ccb', 119: 'aaca', 120: 'bcdc', 121: 'bbdd', 122: 'cabc', 123: 'cbbc', 124: 'aaabcc', 125: 'dba', 126: 'adaab', 127: 'baca', 128: 'aaabb', 129: 'adcc', 130: 'aacc', 131: 'bcbaab', 132: 'bbab', 133: 'bbbc', 134: 'aaaaa', 135: 'aacb', 136: 'dbb', 137: 'abbaab', 138: 'bbaba', 139: 'bdcc', 140: 'cbab', 141: 'cbc', 142: 'dd', 143: 'aabca', 144: 'cbac', 145: 'ddc', 146: 'abbac', 147: 'dcd', 148: 'bbabb', 149: 'caab', 150: 'caabb', 151: 'bacb', 152: 'ddcd', 153: 'baaac', 154: 'caaaab', 155: 'cbabc', 156: 'caabba', 157: 'bdb', 158: 'babcc', 159: 'acbd', 160: 'bacba', 161: 'aaabbc', 162: 'babab', 163: 'ddb', 164: 'caca', 165: 'aadba', 166: 'dcb', 167: 'bacd', 168: 'aabcc', 169: 'aacba', 170: 'bcbaac', 171: 'bcdb', 172: 'aacbc', 173: 'daab', 174: 'aabcd', 175: 'acbab', 176: 'bbabaa', 177: 'bcaa', 178: 'aabcaa', 179: 'bbda', 180: 'cbaa', 181: 'dbaa', 182: 'babb', 183: 'aaaad', 184: 'ccba', 185: 'abbaaa', 186: 'caacc', 187: 'adad', 188: 'adca', 189: 'aabacc', 190: 'bbdb', 191: 'aaac', 192: 'acbb', 193: 'cbacc', 194: 'aadaa', 195: 'bbcb', 196: 'dcba', 197: 'bbdaa', 198: 'acac', 199: 'cbaad', 200: 'adcb', 201: 'acbba', 202: 'bdccc', 203: 'caba', 204: 'abcaa', 205: 'dcbc', 206: 'cdb', 207: 'cada', 208: 'accaa', 209: 'abaaa', 210: 'aaabaa', 211: 'acacc', 212: 'babbb', 213: 'bda', 214: 'abbc', 215: 'bcaac', 216: 'aabab', 217: 'caaba', 218: 'bcaab', 219: 'accd', 220: 'abacb', 221: 'acab', 222: 'baad', 223: 'cbaab', 224: 'acabc', 225: 'bcbd', 226: 'ccbac', 227: 'cbcd', 228: 'aaaaaa', 229: 'acbdc', 230: 'bbaa', 231: 'ccc', 232: 'acaa', 233: 'dcbd', 234: 'babac', 235: 'dbbc', 236: 'aacbaa', 237: 'cbcb', 238: 'aabacb', 239: 'abbba', 240: 'baaab', 241: 'acbaa', 242: 'bbbcb', 243: 'aaabba', 244: 'ccaa', 245: 'bdaa', 246: 'aabb', 247: 'abadd', 248: 'cccd', 249: 'aacca', 250: 'aaaaab', 251: 'cdba', 252: 'adab', 253: 'abbacb', 254: 'bdbc', 255: 'aadc', 256: 'cbca', 257: 'baac', 258: 'abada', 259: 'aaabbac', 260: 'cdcb', 261: 'dca', 262: 'cacaa', 263: 'bbaac', 264: 'add', 265: 'cdaa', 266: 'aabcac', 267: 'dbc', 268: 'aacbcb', 269: 'addb', 270: 'cbaabd', 271: 'bcbaaa', 272: 'baaaaa', 273: 'cbad', 274: 'acad', 275: 'adaabd', 276: 'ccac', 277: 'dbca', 278: 'abaad', 279: 'adaad', 280: 'bbbab', 281: 'abbca', 282: 'abdd', 283: 'adaabb', 284: 'bcab', 285: 'dcac', 286: 'caaaaba', 287: 'bbbdb', 288: 'ccaca', 289: 'abcac', 290: 'acaaa', 291: 'aacab', 292: 'ababab', 293: 'bcaba', 294: 'adabb', 295: 'adcab', 296: 'cadad', 297: 'adaac', 298: 'dcc', 299: 'ccaac', 300: 'adaabbc', 301: 'aabd', 302: 'cbacb', 303: 'cbd', 304: 'cabbb', 305: 'aaabca', 306: 'bbdc', 307: 'babba', 308: 'bcac', 309: 'baaaaac', 310: 'aacbb', 311: 'abcbb', 312: 'adadb', 313: 'cbabb', 314: 'dabc', 315: 'acd', 316: 'ccacb', 317: 'adbc', 318: 'bbaaa', 319: 'baaaaaa', 320: 'bbac', 321: 'cabbba', 322: 'abbcab', 323: 'daaa', 324: 'bdab', 325: 'aabccd', 326: 'bbcca', 327: 'aabcca', 328: 'caacd', 329: 'aababb', 330: 'baaabb', 331: 'accb', 332: 'bdccb', 333: 'badbb', 334: 'acabb', 335: 'dbac', 336: 'bbacb', 337: 'bccc', 338: 'dbaca', 339: 'bbaad', 340: 'caad', 341: 'acdd', 342: 'abacc', 343: 'adcbc', 344: 'aaabab', 345: 'bdca', 346: 'aaabd', 347: 'aacaba', 348: 'aaabaac', 349: 'cacd', 350: 'bbabad', 351: 'bcaaa', 352: 'bbaaab', 353: 'bbbabb', 354: 'bcabd', 355: 'bbabd', 356: 'babbad', 357: 'bacbab', 358: 'bbbaa', 359: 'abaaab', 360: 'abaab', 361: 'caabbb', 362: 'caacb', 363: 'ccbb', 364: 'abaada', 365: 'cbaaa', 366: 'bbaab', 367: 'dbbb', 368: 'acdc', 369: 'adba', 370: 'baabb', 371: 'aaaaabc', 372: 'aaabaacb', 373: 'abbbb', 374: 'acbbab', 375: 'abbd', 376: 'baaaaaab', 377: 'adbad', 378: 'cacb', 379: 'bbacbc', 380: 'bacbb', 381: 'bbabab', 382: 'caaaaa', 383: 'aaaca', 384: 'bccb', 385: 'bbaaba', 386: 'acbda', 387: 'bacbba', 388: 'dacc', 389: 'ccabb', 390: 'bbaabab', 391: 'babbbc', 392: 'babbba', 393: 'bbabbd', 394: 'babbc', 395: 'baaaca', 396: 'aaaadd', 397: 'ccbbb', 398: 'baadb', 399: 'bdba', 400: 'aadcc', 401: 'dbcac', 402: 'abaac', 403: 'aaaada', 404: 'acaba', 405: 'abccc', 406: 'cacc', 407: 'accac', 408: 'daba', 409: 'bbbaba', 410: 'bcaacb', 411: 'cabac', 412: 'acbaaa', 413: 'bbdab', 414: 'babbcc', 415: 'adbd', 416: 'cbabbb', 417: 'abdb', 418: 'aaaaaad', 419: 'ababb', 420: 'aabbb', 421: 'dccb', 422: 'cdab', 423: 'adaabbb', 424: 'dcbac', 425: 'abaaba', 426: 'acabab', 427: 'caaccb', 428: 'abbaca', 429: 'acbc', 430: 'aabcb', 431: 'dbd', 432: 'cdca', 433: 'aaaac', 434: 'bbccad', 435: 'aabba', 436: 'abbaabc', 437: 'bdcca', 438: 'adbca', 439: 'bdbaa', 440: 'aaaaaadc', 441: 'adaadb', 442: 'acbcc', 443: 'daad', 444: 'cadb', 445: 'abcad', 446: 'aaaaac', 447: 'caaadbb', 448: 'dbbac', 449: 'aabaaaa'}\n",
            "Encoded Packets generated: \n",
            " {'a': 0, 'b': 0, 'd': 0, 'da': 19, 'ab': 2, 'aa': 2, 'ad': 2, 'bb': 1, 'aaa': 15, 'aba': 8, 'ac': 2, 'acb': 6, 'c': 0, 'cc': 16, 'adb': 23, 'ccc': 28, 'ca': 16, 'abab': 11, 'bba': 7, 'cad': 17, 'aab': 15, 'abaa': 11, 'ccd': 28, 'ba': 1, 'bab': 3, 'bbaa': 82, 'cb': 16, 'db': 19, 'cac': 17, 'acc': 6, 'bc': 1, 'bd': 1, 'abc': 8, 'dbb': 20, 'acca': 10, 'bac': 3, 'baca': 102, 'bbab': 82, 'caa': 17, 'ccda': 48, 'acbb': 69, 'aaab': 88, 'aabd': 76, 'bbb': 7, 'aad': 15, 'dbc': 20, 'bcb': 22, 'dba': 20, 'abaaa': 100, 'acbbb': 170, 'bbd': 7, 'ababa': 48, 'bcba': 49, 'abcb': 33, 'dab': 38, 'bca': 22, 'cacd': 44, 'aac': 15, 'abb': 8, 'baba': 41, 'babb': 41, 'babab': 85, 'baa': 3, 'bbaaa': 230, 'aca': 6, 'cbc': 46, 'cccb': 51, 'aaba': 76, 'dc': 19, 'bbac': 82, 'bbdc': 71, 'aada': 64, 'bbbb': 104, 'bbbc': 87, 'acba': 69, 'bbba': 87, 'dcd': 32, 'bacc': 58, 'acbd': 69, 'bcab': 65, 'dbba': 115, 'ababc': 76, 'cab': 17, 'ada': 23, 'dd': 19, 'aacb': 18, 'aaaa': 88, 'babaa': 195, 'abaab': 100, 'aabaa': 99, 'cca': 28, 'abac': 11, 'abd': 8, 'adab': 74, 'bcaa': 65, 'acbc': 69, 'cd': 16, 'dcb': 32, 'baaa': 5, 'aaca': 18, 'caad': 45, 'acbba': 192, 'caaa': 45, 'abbc': 9, 'bbc': 7, 'caab': 45, 'cbcc': 66, 'caba': 50, 'aaaaa': 91, 'baaab': 94, 'aabb': 76, 'bcc': 22, 'baaaba': 110, 'acbaa': 110, 'dac': 38, 'acbbba': 50, 'ababb': 48, 'caadd': 101, 'cbb': 46, 'abca': 33, 'bcbb': 52, 'bacaa': 64, 'caca': 44, 'aaaab': 91, 'aadab': 72, 'abcad': 37, 'adc': 23, 'bdc': 12, 'aaaabd': 124, 'aabad': 15, 'babad': 60, 'abba': 9, 'abdd': 56, 'cbbb': 198, 'baaac': 94, 'baad': 5, 'baada': 84, 'bacac': 64, 'aadaba': 125, 'bbcb': 27, 'aacd': 82, 'cbd': 46, 'aabba': 246, 'acd': 6, 'bacb': 102, 'cba': 46, 'bbbbb': 225, 'bccb': 35, 'bbacb': 320, 'bcac': 65, 'acac': 39, 'baaaa': 94, 'abaaaa': 168, 'bda': 12, 'acbbad': 102, 'aacab': 119, 'adaa': 74, 'acda': 26, 'acbad': 75, 'adba': 26, 'aaaad': 91, 'bcbbb': 121, 'ddb': 142, 'cbaa': 79, 'bccba': 178, 'cadc': 155, 'babc': 41, 'bad': 3, 'cabaa': 80, 'aabac': 99, 'dbcc': 137, 'acab': 39, 'cbbd': 108, 'cabac': 203, 'bccc': 35, 'babca': 163, 'aabc': 76, 'bdb': 12, 'acacb': 75, 'abaaab': 209, 'acaca': 75, 'bababa': 62, 'aacdc': 112, 'aaaaaa': 134, 'baaaaa': 109, 'bcbab': 55, 'cbda': 142, 'bcbbc': 121, 'bbaac': 230, 'adbaa': 86, 'abaabc': 210, 'adca': 42, 'babcc': 51, 'acbca': 196, 'bbaaab': 318, 'abbcb': 88, 'abdb': 56, 'babaac': 88, 'cacb': 44, 'dcba': 166, 'acaa': 39, 'bdcd': 128, 'aaaaaaa': 184, 'cadcb': 166, 'dbbb': 136, 'cbac': 79, 'cbca': 141, 'aaaadb': 161, 'aaaabb': 318, 'aabdb': 43, 'dbca': 267, 'bbabb': 132, 'bcaab': 177, 'cbcd': 141, 'cabacc': 174, 'acaac': 135, 'cacab': 411, 'cabaaa': 256, 'aabca': 92, 'baac': 5, 'dabb': 130, 'acabb': 221, 'cbccb': 107, 'caaba': 149, 'dcbb': 98, 'bcaaa': 177, 'abda': 234, 'abbd': 9, 'aaabc': 112, 'dbaa': 125, 'aadb': 64, 'babccb': 87, 'ccca': 51, 'acaaa': 232, 'acaba': 221, 'cacaba': 217, 'cdb': 52, 'aaac': 88, 'ccab': 43, 'aadbb': 117, 'cbaca': 206, 'abcadb': 126, 'aaaba': 112, 'bbaacd': 189, 'dca': 32, 'cccbc': 67, 'ccdad': 40, 'bcaad': 95, 'acbac': 50, 'ccad': 43, 'abaabb': 89, 'babba': 182, 'abdba': 65, 'aadd': 74, 'cbad': 79, 'dcc': 32, 'add': 23, 'adbd': 26, 'cbbc': 70, 'aaabb': 112, 'bacba': 151, 'badb': 4, 'cbba': 70, 'acacaa': 181, 'dabc': 93, 'dabd': 92, 'aadbc': 143, 'adaaa': 190, 'dbab': 42, 'adbdc': 258, 'accc': 10, 'dbabc': 269, 'aacaa': 140, 'acad': 39, 'dbbaa': 81, 'abcc': 33, 'babbac': 252, 'abad': 11, 'cabb': 50, 'abcac': 37, 'ababaa': 77, 'bcbd': 49, 'dbd': 20, 'aacba': 135, 'adad': 74, 'cbcb': 141, 'acbcc': 429, 'aadba': 90, 'bbbab': 117, 'adaba': 94, 'cbbad': 215, 'bbda': 71, 'caaac': 103, 'cacc': 44, 'abbdc': 228, 'aacdb': 141, 'abbaa': 24, 'abcaa': 37, 'bbabba': 212, 'accac': 25, 'acbccb': 287, 'cabc': 50, 'cbdc': 339, 'cacad': 123, 'aadc': 64, 'aaabab': 113, 'accb': 10, 'abbb': 9, 'bdad': 214, 'babbaa': 252, 'aacaaa': 391, 'aabcaa': 143, 'abbab': 24, 'adbda': 258, 'caac': 45, 'abdaa': 227, 'aaad': 30, 'acdab': 158, 'abcd': 55, 'babaaa': 88, 'acaab': 37, 'baab': 5, 'dbdc': 167, 'ccaa': 43, 'aabaaa': 137, 'aaaac': 91, 'bcabc': 86, 'baaca': 217, 'aacaba': 291, 'baabc': 28, 'babadc': 131, 'dad': 38, 'bacbc': 129, 'aabacc': 103, 'abaaba': 360, 'aaaaaad': 228, 'ddba': 57, 'baaad': 23, 'cabba': 62, 'aabbb': 246, 'abaca': 119, 'bacbab': 160, 'daa': 38, 'aabcaac': 312, 'bcbc': 52, 'aaaaca': 74, 'bacaab': 122, 'accba': 27, 'dda': 23, 'bbcba': 293, 'caaad': 22, 'baacb': 217, 'abbbc': 13, 'cbaac': 270, 'bcca': 35, 'bbbaa': 117, 'bbbca': 193, 'babcb': 373, 'cdbd': 237, 'caabb': 149, 'cbbba': 176, 'abcab': 93, 'bbbbbb': 147, 'bdbb': 223, 'dbaab': 124, 'cbcdc': 214, 'bcaca': 139, 'cda': 52, 'caaaa': 89, 'caabaa': 224, 'accbac': 64, 'bcacaa': 367, 'abbbb': 13, 'acaaca': 315, 'babd': 31, 'ccb': 28, 'bbbcc': 78, 'bbbd': 87, 'aabbab': 240, 'bacaca': 138, 'baaaac': 192, 'addb': 264, 'aacaab': 378, 'accca': 271, 'ababbc': 117, 'cadb': 81, 'ccaad': 324, 'adcab': 188, 'caccb': 294, 'aaabcb': 152, 'babbc': 182, 'bbad': 30, 'bcbad': 55, 'caaadb': 351, 'babcd': 167, 'baabb': 21, 'dcaa': 245, 'caabba': 150, 'aadbcc': 267, 'abaabcb': 191, 'accaa': 25, 'ccbb': 118, 'bdbd': 178, 'caacd': 66, 'abbdd': 228, 'adbdab': 314, 'abbbbb': 160, 'aaacb': 128, 'baabbc': 355, 'aabdbb': 210, 'aabcb': 92, 'abbaaa': 78, 'bdba': 157, 'daaa': 96, 'bbaba': 132, 'acaaab': 234, 'abbbba': 160, 'bbadb': 392, 'dbaac': 230, 'cccbcc': 246, 'cabd': 83, 'cccd': 231, 'ccaab': 324, 'bdcb': 128, 'dbac': 125, 'baaabd': 110, 'adda': 257, 'acacab': 181, 'aaaaab': 134, 'cbcbd': 286, 'cbcba': 202, 'abdbd': 197, 'aacc': 18, 'abbabb': 186, 'abbca': 214, 'cbaaa': 180, 'abbba': 13, 'dbda': 283, 'bdaa': 213, 'abcca': 276, 'abacaa': 355, 'bacad': 82, 'dcbab': 200, 'abbbbaa': 417, 'acbdb': 79, 'cdc': 52, 'caaadbb': 394, 'dbbac': 81, 'aabaaaa': 325, 'cbab': 79, 'bacd': 102, 'cbaba': 44, 'bada': 32, 'ddc': 142, 'ddd': 8, 'aaada': 115, 'cbdd': 57, 'bbcbb': 293, 'accbb': 27, 'abdbb': 27, 'cbabaa': 110, 'bbdb': 71, 'aaadb': 95, 'cbdb': 339, 'caabc': 108, 'aabaab': 82, 'bbabc': 108, 'bbcc': 27, 'aaaca': 191, 'accbc': 27, 'abbac': 24, 'addbb': 116, 'bbca': 27, 'aaacd': 43, 'cbdba': 110, 'aabaaba': 121, 'bcd': 22, 'cbabb': 140, 'cacba': 78, 'cabab': 80, 'dbaaa': 124, 'abdab': 134, 'dbbc': 136, 'daab': 96, 'adac': 40, 'abbaab': 78, 'abbbd': 13, 'caadb': 73, 'abbad': 41, 'aabab': 99, 'babbb': 182, 'adcd': 131, 'babbab': 80, 'bbabbc': 150, 'abcba': 207, 'cacbd': 78, 'bcaba': 284, 'ddab': 57, 'dcca': 59, 'abacc': 86, 'aacca': 130, 'caadc': 160, 'aaacba': 215, 'caaca': 66, 'abaccc': 218, 'aaaaba': 54, 'acbda': 159, 'aabaabb': 121, 'bcacb': 290, 'acbbc': 170, 'dacb': 159, 'aaaabaa': 155, 'cbabbd': 153, 'addbbc': 142, 'aaccaa': 219, 'aabaabaa': 146, 'babcac': 231, 'bbbda': 203, 'bbcd': 27, 'cabaab': 245, 'aaacab': 136, 'dacc': 83, 'dccc': 97, 'aaaada': 183, 'abbcc': 88, 'abbcbd': 259, 'bbcbd': 63, 'dbaaaa': 162, 'dbacd': 103, 'caabd': 108, 'aaacaa': 211, 'ababac': 191, 'baaacd': 194, 'cbbbd': 176, 'aabbbb': 47, 'bbcca': 95, 'dbaaba': 188, 'abcda': 96, 'aababb': 216, 'caacc': 66, 'cabad': 122, 'bacaaa': 296, 'aababa': 94, 'daac': 149, 'abbada': 180, 'acabaa': 187, 'daaaa': 103, 'cccc': 241, 'bbbaac': 224, 'dbaca': 335, 'aacac': 140, 'bcabd': 284, 'bbdbb': 95, 'dbdca': 244, 'dbbd': 179, 'bdd': 12, 'baacbd': 279, 'cdab': 61, 'dada': 59, 'abbcca': 267, 'abaac': 100, 'ababaca': 251, 'bdbab': 184, 'cdac': 83, 'abacb': 86, 'cccab': 260, 'daca': 159, 'cbabc': 140, 'acacc': 198, 'caabdb': 280, 'cbbda': 295, 'ababacb': 282, 'aababaa': 298, 'baabcb': 325, 'aacacc': 126, 'ddabb': 205, 'acdb': 59, 'bbbcb': 133, 'baaaca': 153, 'baabd': 163, 'accd': 10, 'abaacb': 250, 'aabcba': 84, 'acaaac': 174, 'aaabba': 128, 'caadbb': 179, 'badbb': 31, 'cdaba': 321, 'bcacba': 235, 'babbba': 212, 'bbacc': 358, 'aadda': 324, 'dadc': 42, 'dbcd': 45, 'aaccab': 219, 'bccbb': 79, 'aaaabac': 230, 'aaacabb': 258, 'abaaca': 330, 'ababab': 75, 'bbbac': 151, 'cbadb': 115, 'cbbbaa': 248, 'bdab': 213, 'dccca': 264, 'cbabd': 14, 'bcad': 62, 'bccab': 98, 'bcadd': 404, 'aaabaa': 113, 'baacac': 364, 'ccabc': 210, 'bcacbc': 235, 'cdca': 55, 'aaadab': 117, 'aaacc': 372, 'abacbc': 340, 'cbabac': 32, 'cbcbac': 234, 'dcbc': 166, 'bccaa': 98, 'babac': 85, 'ababbd': 240, 'abccc': 47, 'baabba': 334, 'acabbc': 99, 'ccdb': 222, 'bccac': 98, 'adaac': 115, 'aaaaabb': 374, 'caadbc': 120, 'accbba': 90, 'adaaaa': 284, 'baaba': 21, 'bdabd': 398, 'ccbc': 415, 'aabbd': 32, 'aaccc': 33, 'aaabd': 112, 'aabbaa': 35, 'acabc': 221, 'aabdc': 91, 'dbabb': 100, 'dbad': 42, 'aabcbb': 84, 'aacbc': 135, 'aabcbd': 84, 'baabcc': 56, 'bbbbc': 225, 'acabca': 206, 'bdbc': 157, 'aabbac': 240, 'bccbaa': 128, 'acccb': 136, 'dccd': 143, 'ababad': 77, 'dbdb': 167, 'aabbba': 47, 'abbbaa': 138, 'aabcbda': 132, 'aabcbba': 127, 'bdbcb': 153, 'caaab': 22, 'bacdc': 68, 'aabbaaa': 81, 'aaacda': 101, 'acabab': 404, 'dbcab': 140, 'abcabb': 207, 'bccd': 17, 'cada': 81, 'bbbbca': 148, 'cdd': 71, 'abbbaaa': 178, 'aabbacd': 156, 'abacab': 147, 'dcac': 261, 'baabccd': 134, 'acbcb': 105, 'abaad': 100, 'bacaac': 209, 'bccbbc': 133, 'abababb': 107, 'bcbba': 206, 'cdaa': 61, 'aaacac': 211, 'aaabdc': 74, 'baaadb': 179, 'daba': 93, 'dbcac': 277, 'bbbba': 225, 'aaadbb': 171, 'adbc': 26, 'ddbd': 90, 'abacd': 142, 'abbaac': 190, 'acbab': 110, 'dccdb': 165, 'aadac': 163, 'bccdd': 216, 'aacccc': 69, 'bccbbb': 133, 'ddcd': 145, 'babdd': 98, 'dbcad': 140, 'aaaabab': 155, 'aabcbab': 281, 'abcaaa': 144, 'dcab': 65, 'cabacb': 229, 'baabad': 274, 'dbbba': 235, 'ddac': 57, 'baabca': 56, 'abdc': 234, 'bdbcbc': 184, 'aabacb': 103, 'accab': 121, 'baccc': 268, 'aaacacd': 248, 'daaac': 103, 'ccba': 118, 'bbaab': 230, 'baaacc': 40, 'caaabb': 77, 'dbabd': 100, 'badc': 32, 'abbbca': 344, 'caada': 73, 'cddd': 220, 'bbaaaa': 294, 'cccba': 247, 'baaaaaa': 272, 'ccbad': 173, 'caaabbd': 340, 'aacccb': 69, 'ccbbb': 363, 'baacc': 89, 'badbd': 125, 'aaaaaab': 224, 'cbaad': 180, 'aaabaaa': 329, 'bacdb': 68, 'baaaaaaa': 359, 'adbb': 69, 'bacadc': 279, 'ccbadc': 360, 'acabaaa': 230, 'acdc': 315, 'aabaca': 158, 'babbbb': 197, 'acbbd': 170, 'dcacb': 231, 'baabaa': 274, 'acccbc': 164, 'abadb': 315, 'cbbac': 297, 'dbdbb': 167, 'bbacd': 245, 'acccbca': 407, 'bbabca': 200, 'adbad': 369, 'baaada': 179, 'cadad': 207, 'adcb': 42, 'dbabbc': 113, 'bcbcb': 256, 'aaaaaba': 380, 'acbabc': 283, 'cbbbc': 422, 'baccb': 268, 'babcca': 377, 'baadb': 222, 'bacab': 64, 'bcadc': 96, 'aaadc': 115, 'aaadca': 118, 'acaad': 37, 'abadd': 57, 'abbcab': 281, 'bdca': 101, 'ddaa': 29, 'abbcabb': 158, 'acdd': 315, 'aababc': 94, 'bcda': 35, 'baabdc': 169, 'aabbbac': 146, 'addc': 109, 'accbcd': 91, 'acbaaa': 241, 'aaabac': 70, 'ccbaa': 173, 'abbcad': 95, 'caaaba': 77, 'bcaac': 177, 'adbac': 86, 'ccaaa': 210, 'acccd': 136, 'ccaac': 244, 'bcaaca': 212, 'acccdd': 229, 'abbbbab': 235, 'aabbbd': 47, 'bbacbb': 100, 'acaaaa': 202, 'cbaab': 180, 'bdac': 214, 'bbacbbb': 255, 'bbbbd': 225, 'aabcbc': 247, 'aabcac': 143, 'aabaac': 137, 'bcbaa': 58, 'baacca': 150, 'acbaac': 123, 'ccac': 43, 'aaabaab': 145, 'bdaab': 228, 'cbabab': 110, 'acddb': 170, 'dccb': 298, 'aadca': 131, 'baacd': 89, 'dbdd': 167, 'aaadaa': 117, 'abbaca': 146, 'caaabba': 83, 'cdaaa': 152, 'acaaaaa': 260, 'abbbab': 218, 'bddb': 185, 'bcbaaa': 60, 'abcbc': 207, 'dccbc': 302, 'bbccc': 85, 'aaabca': 114, 'ababcb': 144, 'accbd': 27, 'cbababd': 295, 'bcacc': 139, 'cbcaa': 335, 'cabca': 257, 'acadd': 348, 'dabac': 248, 'aadbd': 143, 'bbabaa': 138, 'babbbc': 212, 'aaabcc': 114, 'cbaaaa': 345, 'acaaba': 127, 'abcaab': 138, 'bcccd': 79, 'cadbc': 325, 'aaaabbb': 322, 'bbaaaaa': 349, 'bdaaa': 228, 'cbbadc': 272, 'aacaac': 337, 'bbbbac': 386, 'ddaaa': 165, 'cdbb': 350, 'ccbaaa': 203, 'abcaca': 267, 'aaabbb': 103, 'aabbbba': 161, 'aadcb': 131, 'bbabab': 138, 'aaaabc': 318, 'cadd': 154, 'baadd': 84, 'abaaaaa': 376, 'bddc': 30, 'daaba': 279, 'dcdd': 407, 'bbcbab': 323, 'caaaaa': 111, 'bdcc': 101, 'bcacab': 288, 'ccabb': 68, 'cbaaaad': 373, 'acaadc': 133, 'aaaacb': 211, 'ccaacb': 233, 'bcabb': 254, 'abadc': 57, 'bcdc': 73, 'bbdd': 71, 'adaab': 115, 'adcc': 42, 'bcbaab': 60, 'caaaab': 111, 'aaabbc': 128, 'aabcc': 92, 'bcbaac': 60, 'bcdb': 73, 'aabcd': 92, 'cbacc': 144, 'aadaa': 105, 'bbdaa': 179, 'bdccc': 139, 'ccbac': 184, 'acbdc': 159, 'dcbd': 166, 'aacbaa': 169, 'cdba': 206, 'abbacb': 146, 'abada': 57, 'aaabbac': 243, 'cdcb': 55, 'cacaa': 164, 'aacbcb': 172, 'cbaabd': 223, 'adaabd': 126, 'adaad': 115, 'adaabb': 126, 'caaaaba': 154, 'bbbdb': 97, 'ccaca': 276, 'adabb': 252, 'adaabbc': 283, 'cbacb': 144, 'cabbb': 62, 'baaaaac': 272, 'aacbb': 135, 'abcbb': 36, 'adadb': 187, 'ccacb': 276, 'cabbba': 304, 'aabccd': 168, 'aabcca': 168, 'baaabb': 240, 'bdccb': 139, 'bbaad': 230, 'adcbc': 200, 'aaabaac': 210, 'bbabad': 138, 'bbbabb': 280, 'bbabd': 132, 'babbad': 307, 'caabbb': 150, 'caacb': 66, 'abaada': 278, 'aaaaabc': 250, 'aaabaacb': 348, 'acbbab': 201, 'baaaaaab': 319, 'bbacbc': 336, 'bacbb': 151, 'bbaaba': 366, 'bacbba': 380, 'bbaabab': 385, 'bbabbd': 148, 'aaaadd': 183, 'aadcc': 255, 'bbbaba': 280, 'bcaacb': 215, 'bbdab': 179, 'babbcc': 394, 'cbabbb': 313, 'adaabbb': 283, 'dcbac': 196, 'caaccb': 186, 'bbccad': 326, 'abbaabc': 137, 'bdcca': 139, 'adbca': 317, 'bdbaa': 399, 'aaaaaadc': 418, 'adaadb': 279, 'daad': 96, 'aaaaac': 134}\n",
            "With LZ compression, the number of bits needed is ((NB)): 7633\n",
            "number of bits per symbol assuming that the tail of each codeword is in ASCII format (8 bits) =  17\n",
            "---------------------------------------------------------------------------\n",
            "\n",
            "NB_avg =  7633.0\n",
            "The compression ratio relative to the ASCII code =  47.70625 %\n"
          ]
        }
      ]
    }
  ]
}