Python funda2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "60ece676",
   "metadata": {},
   "source": [
    "# Variables and scope"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae78ff83",
   "metadata": {},
   "source": [
    "## Exercise on Function Arguments - Level 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46640e82",
   "metadata": {},
   "source": [
    "Write a Python function to find all the Strong numbers in a given list of numbers.\n",
    "Write another function to find and return the factorial of a number. Use it to solve the problem.\n",
    "\n",
    "Example:\n",
    "A number is considered to be a Strong number if sum of the factorial of its digits is equal to the number itself. \n",
    "145 is a Strong number as 1! + 4! + 5! = 145. "
   ]
  },
  {
   "cell_type": "raw",
   "id": "d042f1a6",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "num_list = [145,375,0,100,2]\n",
    "\n",
    "[145, 2]\n",
    "\n",
    "Note: 0!=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ed69f2c6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[145, 2]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269437118923571233\n",
    "\n",
    "def factorial(number):\n",
    "    #remove pass and write your logic to find and return the factorial of given number\n",
    "    if number==0 or number==1:\n",
    "        return 1\n",
    "    return number*factorial(number-1)\n",
    "        \n",
    "\n",
    "\n",
    "def find_strong_numbers(num_list):\n",
    "    sl=[]\n",
    "    #remove pass and write your logic to find and return the list of strong numbers from the given list\n",
    "    for i in num_list:\n",
    "        stro=0\n",
    "        j=i\n",
    "        if i==0:\n",
    "            continue\n",
    "        while j>0:\n",
    "            stro+=factorial(j%10)\n",
    "            j//=10 \n",
    "        if i==stro:\n",
    "            sl.append(i)\n",
    "    return sl            \n",
    "\n",
    "\n",
    "\n",
    "num_list=[145,375,100,2,10]\n",
    "strong_num_list=find_strong_numbers(num_list)\n",
    "print(strong_num_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "025fcdea",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5748c529",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "9d8376e4",
   "metadata": {},
   "source": [
    "# Assignment set-5"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79f12092",
   "metadata": {},
   "source": [
    "## Assignment on Function Arguments (Mutable & Immutable) - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aef6c744",
   "metadata": {},
   "source": [
    "Write a python function, find_pairs_of_numbers() which accepts a list of positive integers with no repetitions and returns count of pairs of numbers in the list that adds up to n. The function should return 0, if no such pairs are found in the list."
   ]
  },
  {
   "cell_type": "raw",
   "id": "7987d4be",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "[1, 2, 7, 4, 5, 6, 0, 3], 6\n",
    "\n",
    "3\n",
    "\n",
    "[3, 4, 1, 8, 5, 9, 0, 6], 9\n",
    "\n",
    "4\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c5a0452b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269438594930278448\n",
    "\n",
    "def find_pairs_of_numbers(num_list,n):\n",
    "    num_list.sort()\n",
    "    su=0\n",
    "    c=0\n",
    "    for i in range(len(num_list)):\n",
    "        if num_list[i]>=n:\n",
    "            break\n",
    "        su=0\n",
    "        for j in range(i+1,len(num_list)):\n",
    "            if num_list[i]+num_list[j]>n:\n",
    "                break\n",
    "            elif num_list[i]+num_list[j]==n:\n",
    "                c+=1\n",
    "    return c    \n",
    "    #Remove pass and write your logic here\n",
    "\n",
    "num_list=[1, 2, 4, 5, 6]\n",
    "n=6\n",
    "print(find_pairs_of_numbers(num_list,n))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23999406",
   "metadata": {},
   "source": [
    "## Assignment on Default Arguments - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "791ac611",
   "metadata": {},
   "source": [
    "Consider sample data as follows: sample_data=range(1,11)\n",
    "\n",
    "Create two functions: odd() and even()\n",
    "The function even() returns a list of all the even numbers from sample_data\n",
    "The function odd() returns a list of all the odd numbers from sample_data\n",
    "\n",
    "Create a function sum_of_numbers() which will accept the sample data and/or a function.\n",
    "If a function is not passed, the sum_of_numbers() should return the sum of all the numbers from sample_data\n",
    "If a function is passed, the sum_of_numbers() should return the sum of numbers returned from the function passed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2177f24a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "55\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127382164803993601239\n",
    "\n",
    "#This verification is based on string match.\n",
    "\n",
    "def sum_of_numbers(list_of_num,filter_func=None):\n",
    "    #Remove pass and write the logic here\n",
    "    if filter_func==None:\n",
    "        return sum(list_of_num)\n",
    "    return sum(filter_func(list_of_num))    \n",
    "    \n",
    "\n",
    "def even(data):\n",
    "    #Remove pass and write the logic here\n",
    "    el=[i for i in data if i%2==0]\n",
    "    return el\n",
    "    \n",
    "\n",
    "def odd(data):\n",
    "    #Remove pass and write the logic here\n",
    "    ol=[i for i in data if i%2!=0]\n",
    "    return ol\n",
    "\n",
    "\n",
    "sample_data = range(1,11)\n",
    "\n",
    "print(sum_of_numbers(sample_data,None))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "692a6a7b",
   "metadata": {},
   "source": [
    "## Assignment on Function Arguments (Immutable) - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6023146",
   "metadata": {},
   "source": [
    "Write a python function, check_double(number) which accepts a whole number and returns True if it satisfies the given conditions.\n",
    "\n",
    "The number and its double should have exactly the same number of digits.\n",
    "\n",
    "Both the numbers should have the same digits ,but in different order.\n",
    "\n",
    "Otherwise it should return False.\n",
    "\n",
    "Example: If the number is 125874 and its double, 251748, contain exactly the same digits, but in a different order."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0fa52c4d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269441810970214471\n",
    "\n",
    "def check_double(number):\n",
    "    d=2*number\n",
    "    a=str(number)\n",
    "    b=str(d)\n",
    "    if len(a)!=len(b):\n",
    "        return False\n",
    "    s=set(str(number))\n",
    "    dn=True\n",
    "    for i in s:\n",
    "        if a.count(i)!=b.count(i):\n",
    "            dn=False\n",
    "    return dn        \n",
    "    \n",
    "    #Remove pass and write your logic here\n",
    "\n",
    "#Provide different values for number and test your program\n",
    "print(check_double(125874))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08481629",
   "metadata": {},
   "source": [
    "## Assignment on Local Scope - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b0fb845",
   "metadata": {},
   "source": [
    "The road transport corporation (RTC) of a city wants to know whether a particular bus-route is running on profit or loss.\u000b",
    "\n",
    "\n",
    "Assume that the following information are given:\n",
    "Price per litre of fuel = 70\n",
    "Mileage of the bus in km/litre of fuel = 10\n",
    "Price(Rs) per ticket = 80\n",
    "\n",
    "The bus runs on multiple routes having different distance in kms and number of passengers.\n",
    "Write a function to calculate and return the profit earned (Rs) in each route. Return -1 in case of loss."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a2d379e7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3860.0\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_012693816779112448160\n",
    "\n",
    "def calculate(distance,no_of_passengers):\n",
    "    \n",
    "    pl=70\n",
    "    ml=10 \n",
    "    pt=80  \n",
    "    c=(pt*no_of_passengers)-(distance/ml)*pl\n",
    "    if c<0:\n",
    "        return -1\n",
    "    return c    \n",
    "    #Remove pass and write your logic here\n",
    "\n",
    "\n",
    "\n",
    "#Provide different values for distance, no_of_passenger and test your program\n",
    "distance=20\n",
    "no_of_passengers=50\n",
    "print(calculate(distance,no_of_passengers))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "995c680a",
   "metadata": {},
   "source": [
    "##  Assignment on Global Scope - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15a927d7",
   "metadata": {},
   "source": [
    "A teacher is in the process of generating few reports based on the marks scored by the students of her class in a project based assessment.\n",
    "Assume that the marks of her 10 students are available in a tuple. The marks are out of 25.\n",
    "\n",
    "Write a python program to implement the following functions:\n",
    "\n",
    "1. find_more_than_average(): Find and return the percentage of students who have scored more than the average mark of the class.\n",
    "\n",
    "2. generate_frequency(): Find how many students have scored the same marks. For example, how many have scored 0, how many have scored 1, how many have scored 3….how many have scored 25. The result should be populated in a list and returned.\n",
    "\n",
    "3. sort_marks(): Sort the marks in the increasing order from 0 to 25. The sorted values should be populated in a list and returned."
   ]
  },
  {
   "cell_type": "raw",
   "id": "adce08ee",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "\n",
    "\n",
    "list_of_marks = (12,18,25,24,2,5,18,20,20,21)\n",
    "\n",
    "\n",
    "Expected Output\n",
    "70.0 \n",
    "[0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1]\u000b",
    "\n",
    "[2, 5, 12, 18, 18, 20, 20, 21, 24, 25]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1e60ceda",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "70.0\n",
      "[0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1]\n",
      "[2, 5, 12, 18, 18, 20, 20, 21, 24, 25]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269438947391897654\n",
    "\n",
    "#Global variable\n",
    "list_of_marks=(12,18,25,24,2,5,18,20,20,21)\n",
    "\n",
    "def find_more_than_average():\n",
    "    a=sum(list_of_marks)\n",
    "    n=len(list_of_marks)\n",
    "    avg=a/n\n",
    "    ma=[i for i in list_of_marks if i>avg]\n",
    "    return (len(ma)/n)*100\n",
    "    \n",
    "\n",
    "def sort_marks():\n",
    "    nl=sorted(list_of_marks)\n",
    "    return nl\n",
    "\n",
    "def generate_frequency():\n",
    "    nl=[]\n",
    "    for i in range(26):\n",
    "        nl.append(list_of_marks.count(i))\n",
    "    return nl    \n",
    "\n",
    "print(find_more_than_average())\n",
    "print(generate_frequency())\n",
    "print(sort_marks())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "36455897",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a6e9cf69",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "9eb98856",
   "metadata": {},
   "source": [
    "# Exception handling in python"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b04a4c35",
   "metadata": {},
   "source": [
    "## Exercise on Exception Handling - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73c00898",
   "metadata": {},
   "source": [
    "The python function, find_average() given below, is written to accept a list of marks and return the average marks. On execution, the program is resulting in an error.\n",
    "\n",
    "1: Add code to handle the exception occurring in the code.\n",
    "\n",
    "2: Make the necessary correction in the program to remove the error.\n",
    "\n",
    "3: Make the following changes in the code, execute, observe the results. Add code to handle the errors occurring in each case.\n",
    "\n",
    "Case – 1: Initialize m_list as [\"1\",2,3,4]\n",
    "\n",
    "Case – 2: Initialize m_list as given below\n",
    "\n",
    "mark1=\"A\"\n",
    "mark1=int(\"A\")\n",
    "m_list=[mark1,2,3,4]\n",
    "Case – 3: Initialize m_list as []\n",
    "\n",
    "Case – 4: Make the following change in the for loop statement\n",
    "\n",
    "for i in range(0, len(mark_list)+1):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e524e4a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empty List\n",
      "Average marks: None\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269437504257228837\n",
    "\n",
    "def find_average(mark_list):\n",
    "\ttotal=0\n",
    "\ttry:\n",
    "\t    for i in range(0, len(mark_list)):\n",
    "\t\t    total+=mark_list[i]\n",
    "\t    marks_avg=total/len(mark_list)\n",
    "\t    return marks_avg\n",
    "\texcept TypeError:\n",
    "\t    print(\"invalid type\")\n",
    "\texcept NameError:\n",
    "\t    print(\"Name not defined\")\n",
    "\texcept ZeroDivisionError:\n",
    "\t    print(\"Empty List\")\n",
    "\texcept IndexError:\n",
    "\t    print(\"Index out of range\")\n",
    "\t    \n",
    "try:\n",
    "    m_list=[]\n",
    "    print(\"Average marks:\", find_average(m_list))\n",
    "except ValueError:\n",
    "    print(\"Invalid value in main\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "432ef868",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9c5145b4",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "76940189",
   "metadata": {},
   "source": [
    "# Recursion"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdc8115e",
   "metadata": {},
   "source": [
    "Consider that the human tower is to be performed on a stage and the stage has a maximum weight limit. \n",
    "\n",
    "Write a python program to find the maximum number of people at the base level such that the total weight of tower does not exceed the maximum weight limit of the stage. \n",
    "\n",
    "Assume that:\n",
    "1. Each person weighs 50 kg \n",
    "2. There will always be odd number of men at the base level of the human tower."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d6dd9c21",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269437527007232044\n",
    "\n",
    "def human_pyramid(no_of_people):\n",
    "    pass #remove pass and place the recursive code the you had written earlier for this function\n",
    "    if no_of_people==1:\n",
    "        return 50 \n",
    "    return no_of_people*50+human_pyramid(no_of_people-2)    \n",
    "\n",
    "def find_maximum_people(max_weight):\n",
    "    no_of_people=1 \n",
    "    while True:\n",
    "        weight=human_pyramid(no_of_people)\n",
    "        if weight>max_weight:\n",
    "            break\n",
    "        no_of_people+=2 \n",
    "        \n",
    "    #write your logic here. You may invoke recursive function human_pyramid() wherever applicable \n",
    "    return no_of_people-2\n",
    "\n",
    "#Provide different values for max_weight and test your program\n",
    "max_people=find_maximum_people(1000)\n",
    "print(max_people)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f1e52eea",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a36b07f7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "54876289",
   "metadata": {},
   "source": [
    "# Assignment set-6"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68ff588b",
   "metadata": {},
   "source": [
    "# Assignment on Recursion - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b1ae23e7",
   "metadata": {},
   "source": [
    "Write a recursive function, is_palindrome() to find out whether a string is a palindrome or not. The function should return true, if it is a palindrome. Else it should return false. \n",
    "\n",
    "Note- Perform case insensitive operations wherever necessary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "557e662f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The given word is a Palindrome\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269442114344550475\n",
    "def is_rig(word,n):\n",
    "    if (word[n]==word[len(word)-n-1]):\n",
    "        return True\n",
    "    return False    \n",
    "def is_palindrome(word):\n",
    "    n=0\n",
    "    word=word.lower()\n",
    "    word=word.strip()\n",
    "    while n<=len(word)//2:\n",
    "        if not is_rig(word,n):\n",
    "            return False\n",
    "        n+=1 \n",
    "    return True   \n",
    "    #Remove pass and write your logic here\n",
    "\n",
    "#Provide different values for word and test your program\n",
    "result=is_palindrome(\"Madam\")\n",
    "if(result):\n",
    "    print(\"The given word is a Palindrome\")\n",
    "else:\n",
    "    print(\"The given word is not a Palindrome\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a97a902",
   "metadata": {},
   "source": [
    "## Assignment on Recursion - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c90c6ae",
   "metadata": {},
   "source": [
    "Given a number n, write a program to find the sum of the largest prime factors of each of nine consecutive numbers starting from n.\n",
    "g(n) = f(n) + f(n+1) + f(n+2) + f(n+3) + f(n+4) + f(n+5) + f(n+6) + f(n+7) + f(n+8)\n",
    "where, g(n) is the sum and f(n) is the largest prime factor of n\n",
    "\n",
    "For example,\n",
    "g(10)=f(10)+f(11)+f(12)+f(13)+f(14)+f(15)+f(16)+f(17)+f(18) \n",
    "        =5 + 11 + 3 + 13 + 7 + 5 + 2 + 17 + 3 \n",
    "        =66 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2901ab86",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "66\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269442963365068878\n",
    "\n",
    "def find_factors(num):\n",
    "    #Accepts a number and returns the list of all the factors of a given number\n",
    "    factors = []\n",
    "    for i in range(2,(num+1)):\n",
    "        if(num%i==0):\n",
    "            factors.append(i)\n",
    "    return factors\n",
    "\n",
    "def is_prime(num, i):\n",
    "    #Accepts the number num and num/2 --> i and returns True if the number is prime ,else returns False\n",
    "    if(i==1):\n",
    "        return True\n",
    "    elif(num%i==0):\n",
    "        return False;\n",
    "    else:\n",
    "        return(is_prime(num,i-1))\n",
    "\n",
    "def find_largest_prime_factor(list_of_factors):\n",
    "    #Accepts the list of factors and returns the largest prime factor\n",
    "    list_of_factors.sort(reverse=True)\n",
    "    for i in list_of_factors:\n",
    "        if is_prime(i,i//2):\n",
    "            return i\n",
    "\n",
    "def find_f(num):\n",
    "    #Accepts the number and returns the largest prime factor of the number\n",
    "    return find_largest_prime_factor(find_factors(num))\n",
    "\n",
    "def find_g(num):\n",
    "    #Accepts the number and returns the sum of the largest prime factors of the 9 consecutive numbers starting from the given number\n",
    "    g=0\n",
    "    i=num\n",
    "    while i<num+9:\n",
    "        g+=find_f(i)\n",
    "        i+=1\n",
    "    return g    \n",
    "\n",
    "#Note: Invoke function(s) from other function(s), wherever applicable.\n",
    "\n",
    "print(find_g(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "659ead5e",
   "metadata": {},
   "source": [
    "## Assignment on Exception Handling - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "68905453",
   "metadata": {},
   "source": [
    "Write a python function find_smallest_number() which accepts a number n and returns the smallest number having n divisors.\n",
    "Handle the possible errors in the code written inside the function."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73ab43d3",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "16\n",
    "\n",
    "Expected Output\n",
    "120"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "38aa3f7b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number of divisors : 16\n",
      "The smallest number having 16  divisors: 120\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269442760027340879\n",
    "def nof(n):\n",
    "    x=[]\n",
    "    c=0\n",
    "    for i in range(1,n+1):\n",
    "        if n%i==0:\n",
    "            x.append(i)\n",
    "    return x      \n",
    "def find_smallest_number(num):\n",
    "    #start writing your code here\n",
    "    n=1\n",
    "    while True:\n",
    "        x=nof(n)\n",
    "        if len(x)==num:\n",
    "            break\n",
    "        n+=1\n",
    "    return x[-1]    \n",
    "\n",
    "num=16\n",
    "print(\"The number of divisors :\",num)\n",
    "result=find_smallest_number(num)\n",
    "print(\"The smallest number having\",num,\" divisors:\",result)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74c6f9b5",
   "metadata": {},
   "source": [
    "## Assignment on Exception Handling - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5bd1c449",
   "metadata": {},
   "source": [
    "A 10-substring of a number is a substring of its digits that sum up to 10.\n",
    "\n",
    "For example, the 10-substrings of the number 3523014 are:\n",
    "3523014, 3523014, 3523014, 3523014\n",
    "\n",
    "Write a python function, find_ten_substring(num_str) which accepts a string and returns the list of 10-substrings of that string.\n",
    "\n",
    "Handle the possible errors in the code written inside the function."
   ]
  },
  {
   "cell_type": "raw",
   "id": "d0b7c5ed",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "\n",
    "\n",
    "'3523014'\n",
    "Expected Output\n",
    "['5230', '23014', '523', '352']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "32b4b858",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The number is: 2825302\n",
      "['28', '82', '253', '2530', '5302']\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269442545042227276\n",
    "\n",
    "def find_ten_substring(num_str):\n",
    "    l=[]\n",
    "    for i in range(len(num_str)):\n",
    "        for j in range(i+1,len(num_str)):\n",
    "            a=num_str[i:j+1]\n",
    "            b=0\n",
    "            for k in a:\n",
    "                b+=int(k)\n",
    "            if b==10:\n",
    "                l.append(a)\n",
    "    return l            \n",
    "                \n",
    "    #Remove pass and write your logic here\n",
    "\n",
    "num_str=\"2825302\"\n",
    "print(\"The number is:\",num_str)\n",
    "result_list=find_ten_substring(num_str)\n",
    "print(result_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5aa949f2",
   "metadata": {},
   "source": [
    "## Assignment on Recursion - Level 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab5d5551",
   "metadata": {},
   "source": [
    "Write a python function find_duplicates(), which accepts a list of numbers and returns another list containing all the duplicate values in the input list and the order should be same as in the input list. If there are no duplicate values, it should return an empty list."
   ]
  },
  {
   "cell_type": "raw",
   "id": "6a0a31ee",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "\n",
    "\n",
    "[12,54,68,759,24,15,12,68,987,758,25,69]\n",
    "Expected Output\n",
    "[12, 68]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7400824a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 3, 4]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269443477535129681\n",
    "\n",
    "def find_duplicates(list_of_numbers):\n",
    "    l=[]\n",
    "    #start writing your code here\n",
    "    for i in list_of_numbers:\n",
    "        if list_of_numbers.count(i)>1 and i not in l:\n",
    "            l.append(i)\n",
    "    return l\n",
    "list_of_numbers=[1,2,2,3,3,3,4,4,4,4]\n",
    "list_of_duplicates=find_duplicates(list_of_numbers)\n",
    "print(list_of_duplicates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "98a851f2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "13c9ed4b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "8aaa2af2",
   "metadata": {},
   "source": [
    "# Asiignment set-7"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a6b107b",
   "metadata": {},
   "source": [
    "## Assignment on String APIs - Level 1 (Puzzle)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26f92a28",
   "metadata": {},
   "source": [
    "Write a python function, check_anagram() which accepts two strings and returns True, if one string is a special anagram of another string. Otherwise returns False.\n",
    "\n",
    "The two strings are considered to be a special anagram if they contain repeating characters but none of the characters repeat at the same position. The length of the strings should be the same.\n",
    "\n",
    "Note: Perform case insensitive comparison wherever applicable."
   ]
  },
  {
   "cell_type": "raw",
   "id": "2f4579ed",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "eat, tea\n",
    "\n",
    "True\n",
    "\n",
    "backward,drawback\n",
    "\n",
    "False \n",
    "(Reason: character 'a' repeats at position 6, not an anagram)\n",
    "\n",
    "Reductions,discounter\n",
    "\n",
    "True\n",
    "\n",
    "About, table\n",
    "\n",
    "False\n",
    "\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "88fd608a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127382206342184961397\n",
    "\n",
    "def check_anagram(data1,data2):\n",
    "    #start writing your code here\n",
    "    data1=data1.lower()\n",
    "    data2=data2.lower()\n",
    "    if len(data1)!=len(data2):\n",
    "        return False\n",
    "    for i in data1:\n",
    "        if i not in data2 or data1.count(i)!=data2.count(i) or data1.index(i)==data2.index(i):\n",
    "            return False\n",
    "    return True        \n",
    "\n",
    "print(check_anagram(\"bca\",\"aab\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a0ee7cb",
   "metadata": {},
   "source": [
    "## Assignment on String APIs - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78cb4848",
   "metadata": {},
   "source": [
    "Write a python function, remove_duplicates() which accepts a string and removes all duplicate characters from the given string and return it."
   ]
  },
  {
   "cell_type": "raw",
   "id": "e019d75d",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "\n",
    "\n",
    "1122334455ababzzz@@@123#*#*\n",
    "Expected Output\n",
    "12345abz@#*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "acc859fb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "123456abz@#*\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269446319507046499\n",
    "\n",
    "def remove_duplicates(value):\n",
    "    n=\"\"\n",
    "    #start writing your code here\n",
    "    for i in value:\n",
    "        if i not in n:\n",
    "            n+=i \n",
    "    return n\n",
    "\n",
    "print(remove_duplicates(\"11223445566666ababzzz@@@123#*#*\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c59c7fc",
   "metadata": {},
   "source": [
    "## Assignment on List - Level 1 (Puzzle)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43b734b2",
   "metadata": {},
   "source": [
    "Write a python function to check whether the given number is a perfect number or not. The function should returns true if the number is a perfect number, else it should returns false.\n",
    "\n",
    "Hint: Perfect number is a positive whole number that is equal to the sum of its proper divisors.\n",
    "The first perfect number is 6 as the sum of its proper positive divisors, 1,2 and 3 is 6. Other perfect numbers are 28, 496, 8128 ...\n",
    "\n",
    "Extend the program written for the above problem to write another function to find all perfect numbers in a given list of numbers. Populate the perfect numbers in a list and return the list. If no perfect numbers found, return an empty list.\n",
    "\n",
    "Note- Reuse the code wherever possible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "505e47d4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 28]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269446533799116898\n",
    "\n",
    "def check_perfect_number(number):\n",
    "    #start writing your code here\n",
    "    s=0 \n",
    "    for i in range(1,number//2+1):\n",
    "        if number%i==0:\n",
    "            s+=i \n",
    "    return s==number        \n",
    "\n",
    "def check_perfectno_from_list(no_list):\n",
    "    #start writing your code here\n",
    "    l=[]\n",
    "    for i in no_list:\n",
    "        if check_perfect_number(i) and i!=0:\n",
    "            l.append(i)\n",
    "    return l\n",
    "perfectno_list=check_perfectno_from_list([18,6,4,2,1,28])\n",
    "print(perfectno_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03b55819",
   "metadata": {},
   "source": [
    "## Assignment on String APIs - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c8ac38a",
   "metadata": {},
   "source": [
    "Write a python program to help an airport manager to generate few statistics based on the ticket details available for a day.\n",
    "\n",
    "Go through the below program and complete it based on the comments mentioned in it.\n",
    "\n",
    "\n",
    "Note: Perform case sensitive string comparisons wherever necessary."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "7d7e454d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6\n",
      "4\n",
      "['AI077:4', 'SI267:3', 'AI567:2', 'BA896:1']\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127382193364008961449\n",
    "\n",
    "#Sample ticket list - ticket format: \"flight_no:source:destination:ticket_no\"\n",
    "#Note: flight_no has the following format - \"airline_name followed by three digit number\n",
    "\n",
    "#Global variable\n",
    "from collections import defaultdict\n",
    "ticket_list=[\"AI567:MUM:LON:014\",\"AI077:MUM:LON:056\", \"BA896:MUM:LON:067\", \"SI267:MUM:SIN:145\",\"AI077:MUM:CAN:060\",\"SI267:BLR:MUM:148\",\"AI567:CHE:SIN:015\",\"AI077:MUM:SIN:050\",\"AI077:MUM:LON:051\",\"SI267:MUM:SIN:146\"]\n",
    "\n",
    "def find_passengers_flight(airline_name=\"AI\"):\n",
    "    #This function finds and returns the number of passengers travelling in the specified airline.\n",
    "    count=0\n",
    "    for i in ticket_list:\n",
    "        string_list=i.split(\":\")\n",
    "        if(string_list[0].startswith(airline_name)):\n",
    "            count+=1\n",
    "    return count\n",
    "\n",
    "def find_passengers_destination(destination):\n",
    "    c=0\n",
    "    for i in ticket_list:\n",
    "        sl=i.split(':')\n",
    "        if sl[2]==destination:\n",
    "            c+=1 \n",
    "    return c        \n",
    "\n",
    "def find_passengers_per_flight():\n",
    "    '''Write the logic to find and return a list having number of passengers traveling per flight based on the details in the ticket_list\n",
    "    In the list, details should be provided in the format:\n",
    "    [flight_no:no_of_passengers, flight_no:no_of_passengers, etc.].'''\n",
    "    d=defaultdict(int)\n",
    "    for i in ticket_list:\n",
    "        sl=i.split(':')\n",
    "        d[sl[0]]+=1 \n",
    "    l=[]\n",
    "    for i in d:\n",
    "        l.append(str(i)+':'+str(d[i]))\n",
    "    return l    \n",
    "    #Remove pass and write your logic here\n",
    "\n",
    "def sort_passenger_list():\n",
    "    #Write the logic to sort the list returned from find_passengers_per_flight() function in the descending order of number of passengers\n",
    "    l=find_passengers_per_flight()\n",
    "    d={}\n",
    "    for i in l:\n",
    "        sl=i.split(':')\n",
    "        d[sl[0]]=sl[1]\n",
    "    sl=sorted(d,key=d.get,reverse=True)\n",
    "    nl=[]\n",
    "    for i in sl:\n",
    "        nl.append(i+':'+d[i])\n",
    "    return nl    \n",
    "        \n",
    "    #Remove pass and write your logic here\n",
    "\n",
    "#Provide different values for airline_name and destination and test your program.\n",
    "print(find_passengers_flight(\"AI\"))\n",
    "print(find_passengers_destination(\"LON\"))\n",
    "print(sort_passenger_list())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23f3a555",
   "metadata": {},
   "source": [
    "## Assignment on Integers - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11c55f3b",
   "metadata": {},
   "source": [
    "Write a python function, nearest_palindrome() which accepts a number and returns the nearest palindrome greater than the given number. "
   ]
  },
  {
   "cell_type": "raw",
   "id": "88bc7dbf",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "12300\n",
    "\n",
    "12321\n",
    "\n",
    "12331\n",
    "\n",
    "12421"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "1673ea0c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12321\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269443664174284882\n",
    "def nearest_palindrome(number):\n",
    "    #start writitng your code here\n",
    "    number=number+1\n",
    "    while True:\n",
    "        if str(number)==str(number)[::-1]:\n",
    "            return number\n",
    "        number+=1    \n",
    "\n",
    "number=12300\n",
    "print(nearest_palindrome(number))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8936d91",
   "metadata": {},
   "source": [
    "## Assignment on List Slice - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6dad13a3",
   "metadata": {},
   "source": [
    "The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, are themselves prime.\n",
    "\n",
    "There are thirteen such primes below 100: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79, and 97.\n",
    "\n",
    "Write a python program to find and display the number of circular primes less than the given limit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e4d37b33",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269446157664256093\n",
    "import math\n",
    "def check_prime(number):\n",
    "    for i in range(2,int(math.sqrt(number))+1):\n",
    "        if number%i==0:\n",
    "            return False\n",
    "    return True        \n",
    "def rotations(num):\n",
    "    l=[]\n",
    "    i=0\n",
    "    n=str(num)\n",
    "    l.append(int(n))\n",
    "    while (len(l)<len(n)):\n",
    "        sl=list(n)\n",
    "        a=sl.pop(0)\n",
    "        sl.append(a)\n",
    "        n=''.join(sl)\n",
    "        l.append(int(n))\n",
    "        i+=1\n",
    "    return l    \n",
    "def get_circular_prime_count(limit):\n",
    "    cj=0\n",
    "    for i in range(2,limit):\n",
    "        c=0\n",
    "        r=rotations(i)\n",
    "        for j in r:\n",
    "            if check_prime(j):\n",
    "                c+=1\n",
    "        if c== len(r):\n",
    "            cj+=1\n",
    "    return cj\n",
    "print(get_circular_prime_count(1000))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d613cb7b",
   "metadata": {},
   "source": [
    "## Assignment on String APIs - Level 2 (Puzzle)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14094b15",
   "metadata": {},
   "source": [
    "Write a python program to validate the details provided by a user as part of registering to a web application.\n",
    "\n",
    "Write a function validate_name(name) to validate the user name\n",
    "    Name should not be empty, name should not exceed 15 characters\n",
    "    Name should contain only alphabets\n",
    "\n",
    "Write a function validate_phone_no(phoneno) to validate the phone number\n",
    "    Phone number should have 10 digits\n",
    "    Phone number should not have any characters or special characters\n",
    "    All the digits of the phone number should not be same.\n",
    "    Example: 9999999999 is not a valid phone number\n",
    "\n",
    "Write a function validate_email_id(email_id) to validate email Id\n",
    "    It should contain one '@' character and '.com'\n",
    "    '.com' should be present at the end of the email id.\n",
    "    Domain name should be either 'gmail', 'yahoo' or 'hotmail'\n",
    "Note: Consider the format of email id to be username@domain_name.com\n",
    "\n",
    "All the functions should return true if the corresponding value is valid. Otherwise, it should return false.\n",
    "\n",
    "Write a function validate_all(name,phone_no,email_id) which should invoke appropriate functions to validate the arguments passed to it and display appropriate message. Refer the comments provided in the code.\n",
    "\n",
    "Note: You may use str.isalpha(), str.isdigit() methods to check whether a string contains alphabets or digits alone."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "5e8b113f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All the details are valid\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_012694465248329728100\n",
    "\n",
    "def validate_name(name):\n",
    "    #Start writing your code here\n",
    "    if name.isalpha() and len(name)>0 and len(name)<=15:\n",
    "        return True\n",
    "    return False    \n",
    "\n",
    "def validate_phone_no(phno):\n",
    "    #Start writing your code here\n",
    "    phno=str(phno)\n",
    "    if phno.isdigit() and phno.count(phno[0])!=10 and len(phno)==10:\n",
    "        return True\n",
    "    return False    \n",
    "\n",
    "def validate_email_id(email_id):\n",
    "    #Start writing your code here\n",
    "    l=['gmail', 'yahoo','hotmail']\n",
    "    if '@' in email_id and email_id.count('@')==1 and email_id.endswith('.com') and email_id.count('.com')==1:\n",
    "        nl=email_id.split('@')\n",
    "        if nl[1][:-4] in l:\n",
    "            return True\n",
    "        return False\n",
    "    return False    \n",
    "    \n",
    "\n",
    "def validate_all(name,phone_no,email_id):\n",
    "    #Start writing your code here\n",
    "    # Use the below given print statements to display appropriate messages\n",
    "    # Also, do not modify them for verification to work\n",
    "    if not validate_name(name):\n",
    "        print(\"Invalid Name\")\n",
    "    elif not validate_phone_no(phone_no):\n",
    "        print(\"Invalid phone number\")\n",
    "    elif not validate_email_id(email_id):\n",
    "        print(\"Invalid email id\")\n",
    "    else:\n",
    "        print(\"All the details are valid\")\n",
    "    #print(\"Invalid Name\")\n",
    "    #print(\"Invalid phone number\")\n",
    "    #print(\"Invalid email id\")\n",
    "    #print(\"All the details are valid\")\n",
    "\n",
    "\n",
    "#Provide different values for name, phone_no and email_id and test your program\n",
    "validate_all(\"Tina\", \"9994599998\", \"tina@yahoo.com\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a0badc7",
   "metadata": {},
   "source": [
    "## Assignment on List APIs - Level 3 (Puzzle)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e9f9189",
   "metadata": {},
   "source": [
    "Use Luhn algorithm to validate a credit card number.\n",
    "\n",
    "A credit card number has 16 digits, the last digit being the check digit. A credit card number can be validated using Luhn algorithm as follows:\n",
    "\n",
    "Step 1a: From the second last digit (inclusive), double the value of every second digit.\n",
    "Suppose the credit card number is 1456734512345698.\n",
    "Take the double of 9,5,3,1,4,7,5 and 1\n",
    "i.e., 18, 10, 6, 2, 8, 14, 10 and 2\n",
    "\n",
    "Note: If any number is greater than 9, then sum the digits of that number.\n",
    "i.e., 9, 1, 6, 2, 8, 5 ,1 and 2\n",
    "\n",
    "Step 1b: Sum the numbers obtained in Step 1a.\n",
    "i.e., 34\n",
    "\n",
    "Step 2: Sum the remaining digits in the credit card and add it with the sum from Step 1b.\n",
    "i.e., 34 + (8+6+4+2+5+3+6+4) = 72\n",
    "\n",
    "Step 3: If the total is divisible by 10 then the number is valid else it is not valid.\n",
    "\n",
    "Write a function, validate_credit_card_number(), which accepts a 16 digit credit card number and returns true if it is valid as per Luhn’s algorithm or false, if it is invalid. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "e73b1e5f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "credit card number is invalid\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01269445968039936095\n",
    "\n",
    "def validate_credit_card_number(card_number):\n",
    "    #start writing your code here\n",
    "    s=0\n",
    "    for i in str(card_number)[::2]:\n",
    "        if int(i)*2>9:\n",
    "            s+=(int(i)*2%10)+(int(i)*2//10)\n",
    "        else:\n",
    "            s+=int(i)*2\n",
    "    for i in str(card_number)[1::2]:\n",
    "        s+=int(i)\n",
    "    if s%10==0:\n",
    "        return True \n",
    "    else:\n",
    "        return False\n",
    "card_number= 1456734512345698 #4539869650133101  #1456734512345698 # #5239512608615007\n",
    "result=validate_credit_card_number(card_number)\n",
    "if(result):\n",
    "    print(\"credit card number is valid\")\n",
    "else:\n",
    "    print(\"credit card number is invalid\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "295158be",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "932000e4",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "ec87ab45",
   "metadata": {},
   "source": [
    "# Practice problems"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "933177f7",
   "metadata": {},
   "source": [
    "## Practice problems level-1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6add1b4",
   "metadata": {},
   "source": [
    "### Practice Problem 1 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2c9e48b",
   "metadata": {},
   "source": [
    "Write a python function to add 'ing' at the end of a given string and return the new string. \n",
    "If the given string already ends with 'ing' then add 'ly'.\n",
    "If the length of the given string is less than 3, leave it unchanged."
   ]
  },
  {
   "cell_type": "raw",
   "id": "bd34d452",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "sleep\n",
    "\n",
    "sleeping\n",
    "\n",
    "amazing\n",
    "\n",
    "amazingly\n",
    "\n",
    "is\n",
    "\n",
    "is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ff3d1f8e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "coming\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135739583692801137\n",
    "\n",
    "def add_string(str1):\n",
    "  #start writing your code here\n",
    "  if len(str1)<3:\n",
    "      return str1\n",
    "  if str1.endswith(\"ing\"):\n",
    "      return str1+\"ly\"\n",
    "  else:\n",
    "      return str1+\"ing\"\n",
    "\n",
    "  \n",
    "  return str1\n",
    "\n",
    "str1=\"com\"\n",
    "print(add_string(str1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d4b2f64",
   "metadata": {},
   "source": [
    "### Practice Problem 2 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83522fd2",
   "metadata": {},
   "source": [
    "Write a python function which accepts a string containing a pattern of brackets and returns true if the pattern of brackets is correct. Otherwise it returns false.\n",
    "\n",
    "The string of brackets is correct if it satisfies the following conditions:\n",
    "1. Number of opening and closing brackets are equal.\n",
    "2. Pattern should not start with closing bracket and end with opening bracket."
   ]
  },
  {
   "cell_type": "raw",
   "id": "e4b2e529",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    ")()((()())\n",
    "\n",
    "False\n",
    "\n",
    "()((())())\n",
    "\n",
    "True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "b41b3f03",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135773590405121141\n",
    "\n",
    "def bracket_pattern(input_str):\n",
    "    #Remove pass and write your code here\n",
    "\tc=0\n",
    "\ta=0\n",
    "\tfor i in input_str:\n",
    "\t    if i=='(':\n",
    "\t        c+=1\n",
    "\t    elif i==')':\n",
    "\t        if c==0:\n",
    "\t            return False\n",
    "\t        c-=1\n",
    "\t        \n",
    "\tif c==0:\n",
    "\t    return True\n",
    "\telse:\n",
    "\t    return False\n",
    "\n",
    "    \n",
    "input_str=\"(())(\"\n",
    "print(bracket_pattern(input_str))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0dec5759",
   "metadata": {},
   "source": [
    "### Practice Problem 3 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b4125d0",
   "metadata": {},
   "source": [
    "Write a python function to create and return a new dictionary from the given dictionary(item:price).\n",
    "\n",
    "Given the following input, create a new dictionary with elements having price more than 200.\n",
    "\n",
    "prices = {'ACME': 45.23,'AAPL': 612.78, 'IBM': 205.55,'HPQ': 37.20,'FB': 10.75}"
   ]
  },
  {
   "cell_type": "raw",
   "id": "9f885b01",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "{ 'ACME': 45.23,'AAPL': 612.78, 'IBM': 205.55,'HPQ': 37.20,'FB': 10.75}\n",
    "\n",
    "{'AAPL': 612.78, 'IBM': 205.55}\n",
    "\n",
    "{ 'MANGO': 150.45,'POMOGRANATE': 250.67, 'BANANA': 20.55,'CHERRY': 500.10,'ORANGE': 200.75}\n",
    "\n",
    "{'ORANGE': 200.75, 'CHERRY': 500.1, 'POMOGRANATE': 250.67}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "310259be",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'AAPL': 612.78, 'IBM': 205.55}\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135787454873601143\n",
    "\n",
    "def create_new_dictionary(prices):\n",
    "    #start writing your code here\n",
    "    new_dict={k:v for k,v in prices.items() if v-200>0}\n",
    "    \n",
    "\n",
    "    \n",
    "    return new_dict\n",
    "\n",
    "prices = { 'ACME': 45.23,'AAPL': 612.78,'IBM': 205.55,'HPQ': 37.20,'FB': 10.75}\n",
    "print(create_new_dictionary(prices))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1beeca20",
   "metadata": {},
   "source": [
    "### Practice Problem 4 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddc3d8db",
   "metadata": {},
   "source": [
    "Given a list of numbers, write a python function which returns true if one of the first 4 elements in the list is 9. Otherwise it should return false.\n",
    "\n",
    "The length of the list can be less than 4 also."
   ]
  },
  {
   "cell_type": "raw",
   "id": "b648312f",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "[1, 2, 9, 3, 4]\n",
    "\n",
    "True\n",
    "\n",
    "[1, 2, 9]\n",
    "\n",
    "True\n",
    "\n",
    "[1, 2,3,4]\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "381c0d8f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135811649044481146\n",
    "\n",
    "def find_nine(nums):\n",
    "    #Remove pass and write your code here\n",
    "    if 9 in nums[:4]:\n",
    "        return True\n",
    "    else:\n",
    "        return False\n",
    "    \n",
    "\n",
    "nums=[1,9,4,5,6]\n",
    "print(find_nine(nums))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbd19c17",
   "metadata": {},
   "source": [
    "### Practice Problem 5 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1bf1f3d8",
   "metadata": {},
   "source": [
    "Write a python function which accepts a sentence and finds the number of letters and digits in the sentence.\n",
    "\n",
    "It should return a list in which the first value should be letter count and second value should be digit count. Ignore the spaces or any other special character in the sentence."
   ]
  },
  {
   "cell_type": "raw",
   "id": "f92262c4",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "Infosys 123\n",
    "\n",
    "[7,3]\n",
    "\n",
    "ABCEFG\n",
    "\n",
    "[6,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "1d95b0b9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[13, 6]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135838317445121147\n",
    "\n",
    "def count_digits_letters(sentence):\n",
    "    #start writing your code here\n",
    "    result_list=[0,0]\n",
    "    for i in sentence:\n",
    "        if i.isalpha():\n",
    "            result_list[0]+=1 \n",
    "        elif i.isdigit():\n",
    "            result_list[1]+=1\n",
    "\n",
    "    \n",
    "    return result_list\n",
    "\n",
    "sentence=\"Infosys Mysore 570027\"\n",
    "print(count_digits_letters(sentence))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c705bd1",
   "metadata": {},
   "source": [
    "### Practice Problem 6 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5cb60f52",
   "metadata": {},
   "source": [
    "Write a python function which accepts a list of numbers and returns true, if 1, 2, 3 appears in sequence in the list.\n",
    "\n",
    "Otherwise, it should return false."
   ]
  },
  {
   "cell_type": "raw",
   "id": "11f6658a",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "[1, 1, 2, 3, 1]\n",
    "\n",
    "True\n",
    "\n",
    "[1, 1, 2, 4, 3]\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "3d22b950",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135869481369601150\n",
    "\n",
    "def list123(nums):\n",
    "    #start writing your code here\n",
    "    a=\"123\"\n",
    "    if a in ''.join(list(map(str,nums))):\n",
    "        return True\n",
    "    return False    \n",
    "\n",
    "    \n",
    "\n",
    "nums=[1,2,3,4,5]\n",
    "print(list123(nums))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a14dded9",
   "metadata": {},
   "source": [
    "### Practice Problem 7 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0fb4636b",
   "metadata": {},
   "source": [
    "Given two numbers, write a python function which returns true if first number is a seed of second number. Otherwise it returns false.\n",
    "\n",
    "A number X is said to be a seed of number Y, if multiplying X by its each digit equates to Y\n",
    "\n",
    "For example, 123 is a seed of 738 as 123*1*2*3 = 738."
   ]
  },
  {
   "cell_type": "raw",
   "id": "d0bc460a",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "123,738\n",
    "\n",
    "True\n",
    "\n",
    "45,1000\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "44e69fa3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135857243832321154\n",
    "\n",
    "def seed_no(number,ref_no):\n",
    "    #start writing your code here\n",
    "    l=list(map(int,list(str(number))))\n",
    "    for i in l:\n",
    "        number*=i\n",
    "    if number==ref_no:\n",
    "        return True\n",
    "    return False    \n",
    "    \n",
    "number=123\n",
    "ref_no=738\n",
    "print(seed_no(number,ref_no))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b417db4a",
   "metadata": {},
   "source": [
    "### Practice Problem 8 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48e786ae",
   "metadata": {},
   "source": [
    "Write a python function which accepts a list of strings containing details of deposits and withdrawals made in a bank account and returns the net amount in the account.\n",
    "\n",
    "Suppose the following input is supplied to the function \n",
    "[\"D:300\",\"D:300\",\"W:200\",\"D:100\"] where D means deposit and W means withdrawal,\n",
    "then the net amount in the account is 500."
   ]
  },
  {
   "cell_type": "raw",
   "id": "c00e684e",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "[\"D:300\",\"D:200\",\"W:200\",\"D:100\"]\n",
    "\n",
    "400\n",
    "\n",
    "[\"D:350\",\"W:100\",\"W:500\",\"D:1000\"]\n",
    "\n",
    "750"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "2a578806",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "400\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135929511936001157\n",
    "\n",
    "def calculate_net_amount(trans_list):\n",
    "    #start writing your code here\n",
    "    d={'W':0,'D':0}\n",
    "    for i in trans_list:\n",
    "        j=i.split(':')\n",
    "        d[j[0]]+=int(j[1])\n",
    "    net_amount=d['D']-d['W']    \n",
    "    \n",
    "    return net_amount\n",
    "\n",
    "trans_list=[\"D:300\",\"D:200\",\"W:200\",\"D:100\"]\n",
    "print(calculate_net_amount(trans_list))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b54dc6f8",
   "metadata": {},
   "source": [
    "### Practice Problem 9 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8ee2f80",
   "metadata": {},
   "source": [
    "Write a Python function which generates and returns a dictionary where the keys are numbers between 1 and n (both inclusive) and the values are square of keys."
   ]
  },
  {
   "cell_type": "raw",
   "id": "a780c8d8",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "\n",
    "\n",
    "10\n",
    "\n",
    "Expected Output\n",
    "{1: 1, 2: 4, 3: 9, 4: 16, 5: 25, 6: 36, 7: 49, 8: 64, 9: 81, 10: 100}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "ace77a0d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{1: 1, 2: 4, 3: 9, 4: 16, 5: 25, 6: 36, 7: 49, 8: 64, 9: 81, 10: 100, 11: 121, 12: 144, 13: 169, 14: 196, 15: 225, 16: 256, 17: 289, 18: 324, 19: 361, 20: 400}\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135904626688001159\n",
    "\n",
    "def generate_dict(number):\n",
    "\t#start writing your code here\n",
    "\td={}\n",
    "\tfor i in range(1,number+1):\n",
    "\t    d[i]=i*i\n",
    "\n",
    "\t\n",
    "\treturn d\n",
    "\n",
    "number=20\n",
    "print(generate_dict(number))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4e0967a",
   "metadata": {},
   "source": [
    "### Practice Problem 10 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab800cdb",
   "metadata": {},
   "source": [
    "Write a Python function which accepts a string and returns a string made of the first 2 and the last 2 characters of the given string.\n",
    "\n",
    "If the string length is less than 2, return -1.\n",
    "\n",
    "Note: If the string length is equal to 2, consider the 2 characters to be the first as well as the last two characters."
   ]
  },
  {
   "cell_type": "raw",
   "id": "f72b8967",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "\n",
    "w3resource\n",
    "\n",
    "w3ce\n",
    "\n",
    "w3\n",
    "\n",
    "Expected Output\n",
    "w3w3\n",
    "\n",
    "A\n",
    "\n",
    "-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "74b75eb4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "w33w\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127135945621340161163\n",
    "\n",
    "def string_both_ends(input_string):\n",
    "\t#start writing your code here\n",
    "\tif len(input_string)<2:\n",
    "\t    return -1\n",
    "\treturn input_string[:2]+input_string[:-3:-1][::-1]    \n",
    "\n",
    "input_string=\"w3w\"\n",
    "print(string_both_ends(input_string))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "938fd39b",
   "metadata": {},
   "source": [
    "### Practice Problem 11 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2309686b",
   "metadata": {},
   "source": [
    "Write a python function which accepts a sentence and returns a list in which first value is the count of upper case letters and second value is the count of lower case letters in the sentence. Ignore spaces, numbers and other special characters if any."
   ]
  },
  {
   "cell_type": "raw",
   "id": "68cfe43f",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "Hello world!\n",
    "\n",
    "[1,9]\n",
    "\n",
    "Welcome to Mysore\n",
    "\n",
    "[2,13]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "be04e27e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 6]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136021907046401165\n",
    "\n",
    "def find_upper_and_lower(sentence):\n",
    "    #start writing your code here\n",
    "    result_list=[0,0]\n",
    "    for i in sentence:\n",
    "        if i.isupper():\n",
    "            result_list[0]+=1 \n",
    "        elif i.islower():\n",
    "            result_list[1]+=1\n",
    "       \n",
    "    return result_list\n",
    "\n",
    "sentence=\"Come Here\"\n",
    "print(find_upper_and_lower(sentence))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6c819c4",
   "metadata": {},
   "source": [
    "### Practice Problem 12 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ae1d053",
   "metadata": {},
   "source": [
    "Write a python function to generate and return the list of all possible sentences created from the given lists of Subject, Verb and Object.\n",
    "\n",
    "Note: The sentence should contain only one subject, verb and object each."
   ]
  },
  {
   "cell_type": "raw",
   "id": "07eddd13",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "subjects=[\"I\", \"You\"]\n",
    "verbs=[\"Play\", \"Love\"]\n",
    "objects=[\"Hockey\",\"Football\"]\n",
    "\n",
    "I Play Hockey\n",
    "I Play Football\n",
    "I Love Hockey\n",
    "I Love Football\n",
    "You Play Hockey\n",
    "You Play Football\n",
    "You Love Hockey\n",
    "You Love Football"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "e85e874d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['I love Hockey', 'I love Football', 'I play Hockey', 'I play Football', 'You love Hockey', 'You love Football', 'You play Hockey', 'You play Football']\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136011356405761166\n",
    "\n",
    "def generate_sentences(subjects,verbs,objects):\n",
    "\t#start writing your code here\n",
    "\tsentence_list=[]\n",
    "\tfor i in subjects:\n",
    "\t    for j in verbs:\n",
    "\t        for k in objects:\n",
    "\t            sentence_list.append(i+' '+j+' '+k)\n",
    "\n",
    "\t\n",
    "\treturn sentence_list\n",
    "\n",
    "subjects=[\"I\",\"You\"]\n",
    "verbs=[\"love\", \"play\"]\n",
    "objects=[\"Hockey\",\"Football\"]\n",
    "print(generate_sentences(subjects,verbs,objects))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef1c7f76",
   "metadata": {},
   "source": [
    "### Practice Problem 15 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d19fc12b",
   "metadata": {},
   "source": [
    "Write a python function which accepts a list of numbers and returns true if the list contains a 2 next to a 2. Otherwise it should return false."
   ]
  },
  {
   "cell_type": "raw",
   "id": "e1493714",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "[ 1,2,1,2,3,4,5,2,2]\n",
    "\n",
    "True\n",
    "\n",
    "[3,2,5,1,2,1,2]\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "1e0e983a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136075580375041172\n",
    "\n",
    "def check_22(num_list):\n",
    "    #start writing your code here\n",
    "    for i in range(len(num_list)-1):\n",
    "        if num_list[i]==2 and num_list[i+1]==2:\n",
    "            return True\n",
    "    return False        \n",
    "        \n",
    "print(check_22([3,2,5,1,2,1,2,2]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ac8cdd2",
   "metadata": {},
   "source": [
    "### Practice Problem 23 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39f06a80",
   "metadata": {},
   "source": [
    "Write a python function to find out whether a number is divisible by the sum of its digits. If so return True,else return False."
   ]
  },
  {
   "cell_type": "raw",
   "id": "44f58d6b",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "42\n",
    "\n",
    "True\n",
    "\n",
    "66\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "63abdd2f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136251125350401190\n",
    "\n",
    "def divisible_by_sum(number):\n",
    "    #start writing your code here\n",
    "    l=sum(list(map(int,list(str(number)))))\n",
    "    if number%l==0:\n",
    "        return True\n",
    "    return False    \n",
    "\n",
    "    \n",
    "number=42\n",
    "print(divisible_by_sum(number))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2afea1a5",
   "metadata": {},
   "source": [
    "### Practice Problem 24 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81fbe21d",
   "metadata": {},
   "source": [
    "Given two positive integers. Write a python function to return the greatest common divisor of the given numbers."
   ]
  },
  {
   "cell_type": "raw",
   "id": "e2832298",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "14 and 35\n",
    "\n",
    "7\n",
    "\n",
    "800 and 2800\n",
    "\n",
    "400"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "48601eea",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10215\n",
      "5\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136213490565121191\n",
    "def find_gcd(num1,num2):\n",
    "    #start writing your code here\n",
    "    i=1\n",
    "    a,b=(min(num1,num2),max(num1,num2))\n",
    "    c=b\n",
    "    while True:\n",
    "        if b%a==0:\n",
    "            break\n",
    "        i+=1\n",
    "        b+=c\n",
    "    print(b)    \n",
    "    g=int(num1*num2/b)\n",
    "    return g\n",
    "\n",
    "num1=1135\n",
    "num2=45\n",
    "print(find_gcd(num1,num2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c0594023",
   "metadata": {},
   "source": [
    "### Practice Problem 25 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57fe82e5",
   "metadata": {},
   "source": [
    "Write a python function that accepts a list of words and returns the list of integers representing the length of the corresponding words."
   ]
  },
  {
   "cell_type": "raw",
   "id": "51376fd3",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "[cat, Come]\n",
    "\n",
    "[3,4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "00809635",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[4, 4]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136291543285761194\n",
    "\n",
    "def list_of_count(word_list):\n",
    "    #start writing your code here\n",
    "    count_list=[]\n",
    "    for i in word_list:\n",
    "        count_list.append(len(i))\n",
    "    \n",
    "    return count_list\n",
    "\n",
    "word_list=[\"COme\",\"here\"]\n",
    "print(list_of_count(word_list))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc7a9870",
   "metadata": {},
   "source": [
    "### Practice Problem 26 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7300725b",
   "metadata": {},
   "source": [
    "Given a string, write a python function to return True if the strings \"mat\" and \"jet\" appear the same number of times in the given string, else return False.\n",
    "\n",
    "Note: Perform case insensitive string comparison wherever necessary."
   ]
  },
  {
   "cell_type": "raw",
   "id": "42af96cd",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "Jet on the Mat but mat is too long\n",
    "\n",
    "False\n",
    "\n",
    "mat jet Jet Mat\n",
    "\n",
    "True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "9b865b9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136253311385601197\n",
    "\n",
    "def check_occurence(string):\n",
    "    #start writing your code here\n",
    "    string=string.lower()\n",
    "    if string.count(\"jet\")==string.count(\"mat\"):\n",
    "        return True\n",
    "    return False    \n",
    "        \n",
    "string=\"Jet on the Mat but mat is too long\"\n",
    "print(check_occurence(string))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30b66515",
   "metadata": {},
   "source": [
    "### Practice Problem 27 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94a32bd7",
   "metadata": {},
   "source": [
    "Given 2 positive integers, write a python function to return True if one of them is 10 or if their sum is 10, else return False."
   ]
  },
  {
   "cell_type": "raw",
   "id": "fc074efe",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "10,9\n",
    "\n",
    "True\n",
    "\n",
    "2,8\n",
    "\n",
    "True\n",
    "\n",
    "2,9\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "6ac58c92",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136303145779201199\n",
    "\n",
    "def check_for_ten(num1,num2):\n",
    "    #start writing your code here\n",
    "    if 10 in (num1,num2) or num1+num2==10:\n",
    "        return True\n",
    "    return False    \n",
    "    \n",
    "print(check_for_ten(10,9))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "65e4d339",
   "metadata": {},
   "source": [
    "### Practice Problem 29 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5354858c",
   "metadata": {},
   "source": [
    "Given a list of numbers, write a python function to exchange the first n/2 elements of a list with the last n/2 elements. The function should return the new list.\n",
    "\n",
    "n represents the number of elements in the list. Assume that it will always be even."
   ]
  },
  {
   "cell_type": "raw",
   "id": "73d709e5",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "[1,2,3,4,5,6,7,8,9,10]\n",
    "\n",
    "[10,9,8,7,6,1,2,3,4,5]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "c86994a2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[5, 4, 3, 1, 2]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136357873991681201\n",
    "\n",
    "def exchange_list(number_list):\n",
    "    #start writing your code here\n",
    "    a=number_list[:len(number_list)//2]\n",
    "    b=number_list[len(number_list)//2:]\n",
    "    return b[::-1]+a\n",
    "    \n",
    "     \n",
    "number_list=[1,2,3,4,5]\n",
    "print(exchange_list(number_list))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "795f36d4",
   "metadata": {},
   "source": [
    "### Practice Problem 31 - Level 1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aab80d73",
   "metadata": {},
   "source": [
    "Given a list of integers and a number. Write a python function to find and return the sum of the elements of the list. \n",
    "Note: Don't add the given number and also the numbers present before and after the given number in the list."
   ]
  },
  {
   "cell_type": "raw",
   "id": "37dfaae1",
   "metadata": {},
   "source": [
    "Sample input\n",
    "\n",
    "Expected output\n",
    "\n",
    "list=[1,2,3,4], number=2\n",
    "\n",
    "4\n",
    "\n",
    "list=[1,2,2,3,5,4,2,2,1,2],number=2\n",
    "\n",
    "5\n",
    "\n",
    "list=[1,7,3,4,1,7,10,5],number=7\n",
    "\n",
    "9\n",
    "\n",
    "list=[1,2,1,2],number=2\n",
    "\n",
    "0\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "3feca46b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136332814499841204\n",
    "\n",
    "def sum_of_elements(num_list,number):\n",
    "    result_sum=0 \n",
    "    while True:\n",
    "        if number not in num_list:\n",
    "            break\n",
    "        a=num_list.index(number)\n",
    "        if a!=len(num_list)-1:\n",
    "            num_list.pop(a+1)\n",
    "        num_list.pop(a)\n",
    "        if a!=0:\n",
    "            num_list.pop(a-1)\n",
    "    for i in num_list:\n",
    "        result_sum+=i\n",
    "    return result_sum\n",
    "      \n",
    "num_list=[1,7,3,4,1,7,10,5]\n",
    "number=7\n",
    "print(sum_of_elements(num_list, number))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "95543f75",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "539097f2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "fdd07d0a",
   "metadata": {},
   "source": [
    "## Practice problems-level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db7bb9a7",
   "metadata": {},
   "source": [
    "### Practice Problem 13 - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20dcacce",
   "metadata": {},
   "source": [
    "Write a python function which accepts three numbers and returns True if\n",
    "\n",
    "a. one of the three numbers is \"close\" to any one of the other numbers (differing from a number by at most 1), and\n",
    "\n",
    "b.Number that is left out is \"far\", differing from both other values by 2 or more.\n",
    "\n",
    "Return false if the above mentioned conditions are not satisfied."
   ]
  },
  {
   "cell_type": "raw",
   "id": "9b1cd1c2",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "4,1,3\n",
    "\n",
    "True\n",
    "\n",
    "5,6,7\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "3717d946",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136008767324161169\n",
    "\n",
    "def close_number(num1,num2,num3):\n",
    "    #start writing your code here\n",
    "    if abs(num1-num2)<=1 or abs(num2-num3)<=1 or abs(num3-num1)<=1:\n",
    "        if abs(num1-num2)<=1:\n",
    "            if abs(num1-num3)>=2 and abs(num2-num3)>=2:\n",
    "                return True\n",
    "            return False\n",
    "        elif abs(num2-num3)<=1:\n",
    "            if abs(num1-num2)>=2 and abs(num1-num3)>=2:\n",
    "                return True\n",
    "            return False\n",
    "        else:\n",
    "            if abs(num2-num3)>=2 and abs(num2-num1)>=2:\n",
    "                return True\n",
    "    return False    \n",
    "    \n",
    "print(close_number(5,4,2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0adb1e4c",
   "metadata": {},
   "source": [
    "### Practice Problem 16 - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27e8c8e3",
   "metadata": {},
   "source": [
    "Write a Python function to rotate the list of elements by N positions. The function should return the rotated list."
   ]
  },
  {
   "cell_type": "raw",
   "id": "f8a84434",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "Expected Output\n",
    "\n",
    "Input list: [1, 2, 3, 4, 5, 6]\n",
    "Number of positions to be rotated = 2\n",
    "\n",
    "[5, 6, 1, 2, 3, 4]\n",
    "\n",
    "Input list: [1, 2, 3, 4, 5, 6]\n",
    "Number of positions to be rotated = 4\n",
    "\n",
    "[3,4,5, 6, 1, 2]\n",
    "\n",
    "Note : Assume that number of positions to be rotated is always a value >= 0 and <= length of the input list. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "a27e36f5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 4, 5, 6, 1, 2]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136084107673601177\n",
    "\n",
    "def rotate_list(input_list,n):\n",
    "    #start writing your code here\n",
    "    for i in range(n):\n",
    "        a=input_list.pop()\n",
    "        input_list.insert(0,a)\n",
    "    \n",
    "    return input_list\n",
    "\n",
    "input_list= [1,2,3,4,5,6]\n",
    "output_list=rotate_list(input_list,4)\n",
    "print(output_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3359c53a",
   "metadata": {},
   "source": [
    "### Practice Problem 21 - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca30f878",
   "metadata": {},
   "source": [
    "Tom is working in a shop where he labels items. Each item is labelled with a number between num1 and num2(both inclusive). Since Tom is also a natural mathematician, he likes to observe patterns in numbers. Tom could observe that some of these label numbers are divisible by other label numbers.\n",
    "\n",
    "Write a Python function to find out those label numbers that are divisible by another label number and display how many such label numbers are there totally.\n",
    "\n",
    "Note:- Consider only the distinct label numbers. The list of those label numbers should be considered as a set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "57e17487",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[{4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20}, 11]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136209566679041189\n",
    "\n",
    "def check_numbers(num1,num2):\n",
    "    #start writing your code here\n",
    "    l=[]\n",
    "    c=0\n",
    "    for i in range(num1,num2+1):\n",
    "        for j in range(num1,num2+1):\n",
    "            if i==j:\n",
    "                continue\n",
    "            if i%j==0 :\n",
    "                l.append(i)\n",
    "    \n",
    "    return [set(l),len(set(l))]\n",
    "\n",
    "num1=2\n",
    "num2=20\n",
    "print(check_numbers(num1, num2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c236ace",
   "metadata": {},
   "source": [
    "### Practice Problem 32 - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "821d01fc",
   "metadata": {},
   "source": [
    "Given an integer n, write a python function to return true, if it is possible to represent it as a sum of the squares of two different integers, else return false."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "a5fd6a2f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "False\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_01271363571221299212\n",
    "import math\n",
    "def check_squares(number):\n",
    "    #start writing your code here\n",
    "    for i in range(1,int(math.sqrt(number))):\n",
    "        for j in range(i+1,int(math.sqrt(number))):\n",
    "            if i**2+j**2==number:\n",
    "                return True\n",
    "    return False            \n",
    "\n",
    "\n",
    "number=68\n",
    "print(check_squares(number))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7fad46cd",
   "metadata": {},
   "source": [
    "### Practice Problem 33 - Level 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5105bb74",
   "metadata": {},
   "source": [
    "Write a python function to identify and return the number name of a given number. The number should be in the range 1 to 1000. If the number is invalid, return -1."
   ]
  },
  {
   "cell_type": "raw",
   "id": "7993ac47",
   "metadata": {},
   "source": [
    "Example:\n",
    "\n",
    "Sample input\n",
    "\n",
    "Expected output\n",
    "\n",
    "1\n",
    "\n",
    "one\n",
    "\n",
    "15\n",
    "\n",
    "fifteen\n",
    "\n",
    "45\n",
    "\n",
    "forty five\n",
    "\n",
    "125\n",
    "\n",
    "one hundred and twenty five\n",
    "\n",
    "999\n",
    "\n",
    "nine hundred and ninety nine\n",
    "\n",
    "1000\n",
    "\n",
    "one thousand\n",
    "\n",
    "1211\n",
    "\n",
    "-1\n",
    "\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "5db985b9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "seven hundred and eighty nine\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136373866577921209\n",
    "\n",
    "def integer_to_english(number):\n",
    "    #start writing your code here\n",
    "    if number<1 or number>1000:\n",
    "        return -1\n",
    "    oned=[\"one\",\"two\",'three',\"four\",\"five\",\"six\",\"seven\",\"eight\",\"nine\"]\n",
    "    two1d=[\"eleven\",\"twelve\",\"thirteen\",\"fourteen\",\"fifteen\",\"sixteen\",\"seventeen\",\"eighteen\",\"nineteen\"]\n",
    "    twod=['twenty','thirty','forty','fifty','sixty','seventy','eighty','ninety','hundred']\n",
    "    a=[]\n",
    "    while number:\n",
    "        if len(str(number))==1:\n",
    "            a.append(oned[number-1])\n",
    "            break\n",
    "        elif len(str(number))==2:\n",
    "            if number==10:\n",
    "                a.append('ten')\n",
    "                break\n",
    "            elif number>10 and number<20:\n",
    "                a.append(two1d[number%10-1])\n",
    "                break\n",
    "            else:\n",
    "                a.append(twod[number//10-2])\n",
    "                number%=10\n",
    "        elif len(str(number))==3:\n",
    "            a.append(oned[number//100-1]+\" hundred\")\n",
    "            number%=100\n",
    "            if number>0:\n",
    "                a.append(\"and\")\n",
    "        else:\n",
    "            return \"one thousand\"\n",
    "    return ' '.join(a)\n",
    "\n",
    "number=789\n",
    "print(integer_to_english(number))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b6da43f",
   "metadata": {},
   "source": [
    "### Practice Problem 34 - Level 2  [Cornell University CS1110 Final Exam 2014 Spring]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3adb1f67",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "Write a recursive python function which returns True if the input is well-formatted with respect to the list labels. Else it should return False.\n",
    "\n",
    "We say that an input is well-formatted with respect to the labels if:\n",
    "(a) input item is a list \n",
    "(b) input item has length at least two \n",
    "(c) input’s first item is in the list labels \n",
    "(d) each of the remaining items in input is either a string or a well-formatted list "
   ]
  },
  {
   "cell_type": "raw",
   "id": "de252d42",
   "metadata": {},
   "source": [
    "Sample input\n",
    "\n",
    " \n",
    "\n",
    "Expected output\n",
    "\n",
    " \n",
    "\n",
    "input item\n",
    "\n",
    "list label\n",
    "\n",
    "['VP', ['V', 'eat']]\n",
    "\n",
    "['VP', 'V']\n",
    "\n",
    "True\n",
    "\n",
    "['NP', ['N', 'a', 'or', 'b'], 'c']\n",
    "\n",
    "['NP', 'V', 'N']\n",
    "\n",
    "True\n",
    "\n",
    "[1, [2, 'oui', [1, 'no']], 'no']\n",
    "\n",
    "[1,2]\n",
    "\n",
    "True\n",
    "\n",
    "['VP', ['V', 'eat']]\n",
    "\n",
    "['VP']\n",
    "\n",
    "False\n",
    "\n",
    "['VP', ['V']]\n",
    "\n",
    "['VP', 'V']\n",
    "\n",
    "False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "bb51549d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Well formatted\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136426924195841210\n",
    "\n",
    "def check_well_formatted(input_item,list_label):\n",
    "    #Start writing your code here\n",
    "    if type(input_item)!=list or len(input_item)<2 or input_item[0] not in list_label  :\n",
    "        return False\n",
    "    for i in input_item[1:]:\n",
    "        if type(i)==list :\n",
    "            if not check_well_formatted(i,list_label):\n",
    "                return False\n",
    "        elif type(i)!=str:\n",
    "            return False\n",
    "    return True\n",
    "\n",
    "input_list1=['VP', ['V', 'eat']]\n",
    "list_label1=['VP', 'V']\n",
    "result=check_well_formatted(input_list1,list_label1)\n",
    "if result is True:\n",
    "    print(\"Well formatted\")\n",
    "else:\n",
    "    print(\"Not Well formatted\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd6a6d0c",
   "metadata": {},
   "source": [
    "### Practice Problem 35 - Level 2 [University of Texas CS370 Challenge Spring 2011]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b74055f",
   "metadata": {},
   "source": [
    "Write a python function which accepts any number in the range of 1 to 4999 (both inclusive) and returns the equivalent roman numeral of it."
   ]
  },
  {
   "cell_type": "raw",
   "id": "c060abdc",
   "metadata": {},
   "source": [
    "Sample input\n",
    "\n",
    "Expected output\n",
    "\n",
    "1\n",
    "\n",
    "I\n",
    "\n",
    "1796\n",
    "\n",
    "MDCCXCVI\n",
    "\n",
    "4998\n",
    "\n",
    "MMMMCMXCVIII"
   ]
  },
  {
   "cell_type": "raw",
   "id": "f6034e48",
   "metadata": {},
   "source": [
    "Here are the basics:\n",
    "\n",
    "I\n",
    "\n",
    "The easiest way to note down a number is to make that many marks - little I's. Thus I means 1, II means 2, III means 3. However, four strokes seemed like too many....\n",
    "\n",
    "V\n",
    "\n",
    "So the Romans moved on to the symbol for 5 - V. Placing I in front of the V — or placing any smaller number in front of any larger number — indicates subtraction. So IV means 4. After V comes a series of additions - VI means 6, VII means 7, VIII means 8.\n",
    "\n",
    "X\n",
    "\n",
    "X means 10. But wait — what about 9? Same deal. IX means to subtract I from X, leaving 9. Numbers in the teens, twenties and thirties follow the same form as the first set, only with X's indicating the number of tens. So XXXI is 31, and XXIV is 24.\n",
    "\n",
    "L\n",
    "\n",
    "L means 50. Based on what you've learned, I bet you can figure out what 40 is. If you guessed XL, you're right = 10 subtracted from 50. And thus 60, 70, and 80 are LX, LXX and LXXX.\n",
    "\n",
    "C\n",
    "\n",
    "C stands for centum, the Latin word for 100. A centurion led 100 men. We still use this in words like \"century\" and \"cent.\" The subtraction rule means 90 is written as XC. Like the X's and L's, the C's are tacked on to the beginning of numbers to indicate how many hundreds there are: CCCLXIX is 369.\n",
    "\n",
    "D\n",
    "\n",
    "D stands for 500. As you can probably guess by this time, CD means 400. So CDXLVIII is 448. (See why we switched systems?)\n",
    "\n",
    "M\n",
    "\n",
    "M is 1,000. You see a lot of Ms because Roman numerals are used a lot to indicate dates. For instance, this page was written in the year of Nova Roma's founding, 1998 CE (Common Era; Christians use AD for Anno Domini, \"year of our Lord\"). That year is written as MCMXCVIII. But wait! Nova Roma counts years from the founding of Rome, ab urbe condita. By that reckoning Nova Roma was founded in 2751 a.u.c. or MMDCCLI."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "da9b74e8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1  :  I\n",
      "2  :  II\n",
      "3  :  III\n",
      "4  :  IV\n",
      "5  :  V\n",
      "6  :  VI\n",
      "7  :  VII\n",
      "8  :  VIII\n",
      "9  :  IX\n",
      "10  :  X\n",
      "11  :  XI\n",
      "12  :  XII\n",
      "13  :  XIII\n",
      "14  :  XIV\n",
      "15  :  XV\n",
      "16  :  XVI\n",
      "17  :  XVII\n",
      "18  :  XVIII\n",
      "19  :  XIX\n",
      "20  :  XX\n",
      "21  :  XXI\n",
      "22  :  XXII\n",
      "23  :  XXIII\n",
      "24  :  XXIV\n",
      "25  :  XXV\n",
      "26  :  XXVI\n",
      "27  :  XXVII\n",
      "28  :  XXVIII\n",
      "29  :  XXIX\n",
      "30  :  XXX\n",
      "31  :  XXXI\n",
      "32  :  XXXII\n",
      "33  :  XXXIII\n",
      "34  :  XXXIV\n",
      "35  :  XXXV\n",
      "36  :  XXXVI\n",
      "37  :  XXXVII\n",
      "38  :  XXXVIII\n",
      "39  :  XXXIX\n",
      "40  :  XL\n",
      "41  :  XLI\n",
      "42  :  XLII\n",
      "43  :  XLIII\n",
      "44  :  XLIV\n",
      "45  :  XLV\n",
      "46  :  XLVI\n",
      "47  :  XLVII\n",
      "48  :  XLVIII\n",
      "49  :  XLIX\n",
      "50  :  L\n",
      "51  :  LI\n",
      "52  :  LII\n",
      "53  :  LIII\n",
      "54  :  LIV\n",
      "55  :  LV\n",
      "56  :  LVI\n",
      "57  :  LVII\n",
      "58  :  LVIII\n",
      "59  :  LIX\n",
      "60  :  LX\n",
      "61  :  LXI\n",
      "62  :  LXII\n",
      "63  :  LXIII\n",
      "64  :  LXIV\n",
      "65  :  LXV\n",
      "66  :  LXVI\n",
      "67  :  LXVII\n",
      "68  :  LXVIII\n",
      "69  :  LXIX\n",
      "70  :  LXX\n",
      "71  :  LXXI\n",
      "72  :  LXXII\n",
      "73  :  LXXIII\n",
      "74  :  LXXIV\n",
      "75  :  LXXV\n",
      "76  :  LXXVI\n",
      "77  :  LXXVII\n",
      "78  :  LXXVIII\n",
      "79  :  LXXIX\n",
      "80  :  LXXX\n",
      "81  :  LXXXI\n",
      "82  :  LXXXII\n",
      "83  :  LXXXIII\n",
      "84  :  LXXXIV\n",
      "85  :  LXXXV\n",
      "86  :  LXXXVI\n",
      "87  :  LXXXVII\n",
      "88  :  LXXXVIII\n",
      "89  :  LXXXIX\n",
      "90  :  XC\n",
      "91  :  XCI\n",
      "92  :  XCII\n",
      "93  :  XCIII\n",
      "94  :  XCIV\n",
      "95  :  XCV\n",
      "96  :  XCVI\n",
      "97  :  XCVII\n",
      "98  :  XCVIII\n",
      "99  :  XCIX\n",
      "100  :  C\n",
      "101  :  CI\n",
      "102  :  CII\n",
      "103  :  CIII\n",
      "104  :  CIV\n",
      "105  :  CV\n",
      "106  :  CVI\n",
      "107  :  CVII\n",
      "108  :  CVIII\n",
      "109  :  CIX\n",
      "110  :  CX\n",
      "111  :  CXI\n",
      "112  :  CXII\n",
      "113  :  CXIII\n",
      "114  :  CXIV\n",
      "115  :  CXV\n",
      "116  :  CXVI\n",
      "117  :  CXVII\n",
      "118  :  CXVIII\n",
      "119  :  CXIX\n",
      "120  :  CXX\n",
      "121  :  CXXI\n",
      "122  :  CXXII\n",
      "123  :  CXXIII\n",
      "124  :  CXXIV\n",
      "125  :  CXXV\n",
      "126  :  CXXVI\n",
      "127  :  CXXVII\n",
      "128  :  CXXVIII\n",
      "129  :  CXXIX\n",
      "130  :  CXXX\n",
      "131  :  CXXXI\n",
      "132  :  CXXXII\n",
      "133  :  CXXXIII\n",
      "134  :  CXXXIV\n",
      "135  :  CXXXV\n",
      "136  :  CXXXVI\n",
      "137  :  CXXXVII\n",
      "138  :  CXXXVIII\n",
      "139  :  CXXXIX\n",
      "140  :  CXL\n",
      "141  :  CXLI\n",
      "142  :  CXLII\n",
      "143  :  CXLIII\n",
      "144  :  CXLIV\n",
      "145  :  CXLV\n",
      "146  :  CXLVI\n",
      "147  :  CXLVII\n",
      "148  :  CXLVIII\n",
      "149  :  CXLIX\n",
      "150  :  CL\n",
      "151  :  CLI\n",
      "152  :  CLII\n",
      "153  :  CLIII\n",
      "154  :  CLIV\n",
      "155  :  CLV\n",
      "156  :  CLVI\n",
      "157  :  CLVII\n",
      "158  :  CLVIII\n",
      "159  :  CLIX\n",
      "160  :  CLX\n",
      "161  :  CLXI\n",
      "162  :  CLXII\n",
      "163  :  CLXIII\n",
      "164  :  CLXIV\n",
      "165  :  CLXV\n",
      "166  :  CLXVI\n",
      "167  :  CLXVII\n",
      "168  :  CLXVIII\n",
      "169  :  CLXIX\n",
      "170  :  CLXX\n",
      "171  :  CLXXI\n",
      "172  :  CLXXII\n",
      "173  :  CLXXIII\n",
      "174  :  CLXXIV\n",
      "175  :  CLXXV\n",
      "176  :  CLXXVI\n",
      "177  :  CLXXVII\n",
      "178  :  CLXXVIII\n",
      "179  :  CLXXIX\n",
      "180  :  CLXXX\n",
      "181  :  CLXXXI\n",
      "182  :  CLXXXII\n",
      "183  :  CLXXXIII\n",
      "184  :  CLXXXIV\n",
      "185  :  CLXXXV\n",
      "186  :  CLXXXVI\n",
      "187  :  CLXXXVII\n",
      "188  :  CLXXXVIII\n",
      "189  :  CLXXXIX\n",
      "190  :  CXC\n",
      "191  :  CXCI\n",
      "192  :  CXCII\n",
      "193  :  CXCIII\n",
      "194  :  CXCIV\n",
      "195  :  CXCV\n",
      "196  :  CXCVI\n",
      "197  :  CXCVII\n",
      "198  :  CXCVIII\n",
      "199  :  CXCIX\n",
      "200  :  CC\n",
      "201  :  CCI\n",
      "202  :  CCII\n",
      "203  :  CCIII\n",
      "204  :  CCIV\n",
      "205  :  CCV\n",
      "206  :  CCVI\n",
      "207  :  CCVII\n",
      "208  :  CCVIII\n",
      "209  :  CCIX\n",
      "210  :  CCX\n",
      "211  :  CCXI\n",
      "212  :  CCXII\n",
      "213  :  CCXIII\n",
      "214  :  CCXIV\n",
      "215  :  CCXV\n",
      "216  :  CCXVI\n",
      "217  :  CCXVII\n",
      "218  :  CCXVIII\n",
      "219  :  CCXIX\n",
      "220  :  CCXX\n",
      "221  :  CCXXI\n",
      "222  :  CCXXII\n",
      "223  :  CCXXIII\n",
      "224  :  CCXXIV\n",
      "225  :  CCXXV\n",
      "226  :  CCXXVI\n",
      "227  :  CCXXVII\n",
      "228  :  CCXXVIII\n",
      "229  :  CCXXIX\n",
      "230  :  CCXXX\n",
      "231  :  CCXXXI\n",
      "232  :  CCXXXII\n",
      "233  :  CCXXXIII\n",
      "234  :  CCXXXIV\n",
      "235  :  CCXXXV\n",
      "236  :  CCXXXVI\n",
      "237  :  CCXXXVII\n",
      "238  :  CCXXXVIII\n",
      "239  :  CCXXXIX\n",
      "240  :  CCXL\n",
      "241  :  CCXLI\n",
      "242  :  CCXLII\n",
      "243  :  CCXLIII\n",
      "244  :  CCXLIV\n",
      "245  :  CCXLV\n",
      "246  :  CCXLVI\n",
      "247  :  CCXLVII\n",
      "248  :  CCXLVIII\n",
      "249  :  CCXLIX\n",
      "250  :  CCL\n",
      "251  :  CCLI\n",
      "252  :  CCLII\n",
      "253  :  CCLIII\n",
      "254  :  CCLIV\n",
      "255  :  CCLV\n",
      "256  :  CCLVI\n",
      "257  :  CCLVII\n",
      "258  :  CCLVIII\n",
      "259  :  CCLIX\n",
      "260  :  CCLX\n",
      "261  :  CCLXI\n",
      "262  :  CCLXII\n",
      "263  :  CCLXIII\n",
      "264  :  CCLXIV\n",
      "265  :  CCLXV\n",
      "266  :  CCLXVI\n",
      "267  :  CCLXVII\n",
      "268  :  CCLXVIII\n",
      "269  :  CCLXIX\n",
      "270  :  CCLXX\n",
      "271  :  CCLXXI\n",
      "272  :  CCLXXII\n",
      "273  :  CCLXXIII\n",
      "274  :  CCLXXIV\n",
      "275  :  CCLXXV\n",
      "276  :  CCLXXVI\n",
      "277  :  CCLXXVII\n",
      "278  :  CCLXXVIII\n",
      "279  :  CCLXXIX\n",
      "280  :  CCLXXX\n",
      "281  :  CCLXXXI\n",
      "282  :  CCLXXXII\n",
      "283  :  CCLXXXIII\n",
      "284  :  CCLXXXIV\n",
      "285  :  CCLXXXV\n",
      "286  :  CCLXXXVI\n",
      "287  :  CCLXXXVII\n",
      "288  :  CCLXXXVIII\n",
      "289  :  CCLXXXIX\n",
      "290  :  CCXC\n",
      "291  :  CCXCI\n",
      "292  :  CCXCII\n",
      "293  :  CCXCIII\n",
      "294  :  CCXCIV\n",
      "295  :  CCXCV\n",
      "296  :  CCXCVI\n",
      "297  :  CCXCVII\n",
      "298  :  CCXCVIII\n",
      "299  :  CCXCIX\n",
      "300  :  CCC\n",
      "301  :  CCCI\n",
      "302  :  CCCII\n",
      "303  :  CCCIII\n",
      "304  :  CCCIV\n",
      "305  :  CCCV\n",
      "306  :  CCCVI\n",
      "307  :  CCCVII\n",
      "308  :  CCCVIII\n",
      "309  :  CCCIX\n",
      "310  :  CCCX\n",
      "311  :  CCCXI\n",
      "312  :  CCCXII\n",
      "313  :  CCCXIII\n",
      "314  :  CCCXIV\n",
      "315  :  CCCXV\n",
      "316  :  CCCXVI\n",
      "317  :  CCCXVII\n",
      "318  :  CCCXVIII\n",
      "319  :  CCCXIX\n",
      "320  :  CCCXX\n",
      "321  :  CCCXXI\n",
      "322  :  CCCXXII\n",
      "323  :  CCCXXIII\n",
      "324  :  CCCXXIV\n",
      "325  :  CCCXXV\n",
      "326  :  CCCXXVI\n",
      "327  :  CCCXXVII\n",
      "328  :  CCCXXVIII\n",
      "329  :  CCCXXIX\n",
      "330  :  CCCXXX\n",
      "331  :  CCCXXXI\n",
      "332  :  CCCXXXII\n",
      "333  :  CCCXXXIII\n",
      "334  :  CCCXXXIV\n",
      "335  :  CCCXXXV\n",
      "336  :  CCCXXXVI\n",
      "337  :  CCCXXXVII\n",
      "338  :  CCCXXXVIII\n",
      "339  :  CCCXXXIX\n",
      "340  :  CCCXL\n",
      "341  :  CCCXLI\n",
      "342  :  CCCXLII\n",
      "343  :  CCCXLIII\n",
      "344  :  CCCXLIV\n",
      "345  :  CCCXLV\n",
      "346  :  CCCXLVI\n",
      "347  :  CCCXLVII\n",
      "348  :  CCCXLVIII\n",
      "349  :  CCCXLIX\n",
      "350  :  CCCL\n",
      "351  :  CCCLI\n",
      "352  :  CCCLII\n",
      "353  :  CCCLIII\n",
      "354  :  CCCLIV\n",
      "355  :  CCCLV\n",
      "356  :  CCCLVI\n",
      "357  :  CCCLVII\n",
      "358  :  CCCLVIII\n",
      "359  :  CCCLIX\n",
      "360  :  CCCLX\n",
      "361  :  CCCLXI\n",
      "362  :  CCCLXII\n",
      "363  :  CCCLXIII\n",
      "364  :  CCCLXIV\n",
      "365  :  CCCLXV\n",
      "366  :  CCCLXVI\n",
      "367  :  CCCLXVII\n",
      "368  :  CCCLXVIII\n",
      "369  :  CCCLXIX\n",
      "370  :  CCCLXX\n",
      "371  :  CCCLXXI\n",
      "372  :  CCCLXXII\n",
      "373  :  CCCLXXIII\n",
      "374  :  CCCLXXIV\n",
      "375  :  CCCLXXV\n",
      "376  :  CCCLXXVI\n",
      "377  :  CCCLXXVII\n",
      "378  :  CCCLXXVIII\n",
      "379  :  CCCLXXIX\n",
      "380  :  CCCLXXX\n",
      "381  :  CCCLXXXI\n",
      "382  :  CCCLXXXII\n",
      "383  :  CCCLXXXIII\n",
      "384  :  CCCLXXXIV\n",
      "385  :  CCCLXXXV\n",
      "386  :  CCCLXXXVI\n",
      "387  :  CCCLXXXVII\n",
      "388  :  CCCLXXXVIII\n",
      "389  :  CCCLXXXIX\n",
      "390  :  CCCXC\n",
      "391  :  CCCXCI\n",
      "392  :  CCCXCII\n",
      "393  :  CCCXCIII\n",
      "394  :  CCCXCIV\n",
      "395  :  CCCXCV\n",
      "396  :  CCCXCVI\n",
      "397  :  CCCXCVII\n",
      "398  :  CCCXCVIII\n",
      "399  :  CCCXCIX\n",
      "400  :  CD\n",
      "401  :  CDI\n",
      "402  :  CDII\n",
      "403  :  CDIII\n",
      "404  :  CDIV\n",
      "405  :  CDV\n",
      "406  :  CDVI\n",
      "407  :  CDVII\n",
      "408  :  CDVIII\n",
      "409  :  CDIX\n",
      "410  :  CDX\n",
      "411  :  CDXI\n",
      "412  :  CDXII\n",
      "413  :  CDXIII\n",
      "414  :  CDXIV\n",
      "415  :  CDXV\n",
      "416  :  CDXVI\n",
      "417  :  CDXVII\n",
      "418  :  CDXVIII\n",
      "419  :  CDXIX\n",
      "420  :  CDXX\n",
      "421  :  CDXXI\n",
      "422  :  CDXXII\n",
      "423  :  CDXXIII\n",
      "424  :  CDXXIV\n",
      "425  :  CDXXV\n",
      "426  :  CDXXVI\n",
      "427  :  CDXXVII\n",
      "428  :  CDXXVIII\n",
      "429  :  CDXXIX\n",
      "430  :  CDXXX\n",
      "431  :  CDXXXI\n",
      "432  :  CDXXXII\n",
      "433  :  CDXXXIII\n",
      "434  :  CDXXXIV\n",
      "435  :  CDXXXV\n",
      "436  :  CDXXXVI\n",
      "437  :  CDXXXVII\n",
      "438  :  CDXXXVIII\n",
      "439  :  CDXXXIX\n",
      "440  :  CDXL\n",
      "441  :  CDXLI\n",
      "442  :  CDXLII\n",
      "443  :  CDXLIII\n",
      "444  :  CDXLIV\n",
      "445  :  CDXLV\n",
      "446  :  CDXLVI\n",
      "447  :  CDXLVII\n",
      "448  :  CDXLVIII\n",
      "449  :  CDXLIX\n",
      "450  :  CDL\n",
      "451  :  CDLI\n",
      "452  :  CDLII\n",
      "453  :  CDLIII\n",
      "454  :  CDLIV\n",
      "455  :  CDLV\n",
      "456  :  CDLVI\n",
      "457  :  CDLVII\n",
      "458  :  CDLVIII\n",
      "459  :  CDLIX\n",
      "460  :  CDLX\n",
      "461  :  CDLXI\n",
      "462  :  CDLXII\n",
      "463  :  CDLXIII\n",
      "464  :  CDLXIV\n",
      "465  :  CDLXV\n",
      "466  :  CDLXVI\n",
      "467  :  CDLXVII\n",
      "468  :  CDLXVIII\n",
      "469  :  CDLXIX\n",
      "470  :  CDLXX\n",
      "471  :  CDLXXI\n",
      "472  :  CDLXXII\n",
      "473  :  CDLXXIII\n",
      "474  :  CDLXXIV\n",
      "475  :  CDLXXV\n",
      "476  :  CDLXXVI\n",
      "477  :  CDLXXVII\n",
      "478  :  CDLXXVIII\n",
      "479  :  CDLXXIX\n",
      "480  :  CDLXXX\n",
      "481  :  CDLXXXI\n",
      "482  :  CDLXXXII\n",
      "483  :  CDLXXXIII\n",
      "484  :  CDLXXXIV\n",
      "485  :  CDLXXXV\n",
      "486  :  CDLXXXVI\n",
      "487  :  CDLXXXVII\n",
      "488  :  CDLXXXVIII\n",
      "489  :  CDLXXXIX\n",
      "490  :  CDXC\n",
      "491  :  CDXCI\n",
      "492  :  CDXCII\n",
      "493  :  CDXCIII\n",
      "494  :  CDXCIV\n",
      "495  :  CDXCV\n",
      "496  :  CDXCVI\n",
      "497  :  CDXCVII\n",
      "498  :  CDXCVIII\n",
      "499  :  CDXCIX\n",
      "500  :  D\n",
      "501  :  DI\n",
      "502  :  DII\n",
      "503  :  DIII\n",
      "504  :  DIV\n",
      "505  :  DV\n",
      "506  :  DVI\n",
      "507  :  DVII\n",
      "508  :  DVIII\n",
      "509  :  DIX\n",
      "510  :  DX\n",
      "511  :  DXI\n",
      "512  :  DXII\n",
      "513  :  DXIII\n",
      "514  :  DXIV\n",
      "515  :  DXV\n",
      "516  :  DXVI\n",
      "517  :  DXVII\n",
      "518  :  DXVIII\n",
      "519  :  DXIX\n",
      "520  :  DXX\n",
      "521  :  DXXI\n",
      "522  :  DXXII\n",
      "523  :  DXXIII\n",
      "524  :  DXXIV\n",
      "525  :  DXXV\n",
      "526  :  DXXVI\n",
      "527  :  DXXVII\n",
      "528  :  DXXVIII\n",
      "529  :  DXXIX\n",
      "530  :  DXXX\n",
      "531  :  DXXXI\n",
      "532  :  DXXXII\n",
      "533  :  DXXXIII\n",
      "534  :  DXXXIV\n",
      "535  :  DXXXV\n",
      "536  :  DXXXVI\n",
      "537  :  DXXXVII\n",
      "538  :  DXXXVIII\n",
      "539  :  DXXXIX\n",
      "540  :  DXL\n",
      "541  :  DXLI\n",
      "542  :  DXLII\n",
      "543  :  DXLIII\n",
      "544  :  DXLIV\n",
      "545  :  DXLV\n",
      "546  :  DXLVI\n",
      "547  :  DXLVII\n",
      "548  :  DXLVIII\n",
      "549  :  DXLIX\n",
      "550  :  DL\n",
      "551  :  DLI\n",
      "552  :  DLII\n",
      "553  :  DLIII\n",
      "554  :  DLIV\n",
      "555  :  DLV\n",
      "556  :  DLVI\n",
      "557  :  DLVII\n",
      "558  :  DLVIII\n",
      "559  :  DLIX\n",
      "560  :  DLX\n",
      "561  :  DLXI\n",
      "562  :  DLXII\n",
      "563  :  DLXIII\n",
      "564  :  DLXIV\n",
      "565  :  DLXV\n",
      "566  :  DLXVI\n",
      "567  :  DLXVII\n",
      "568  :  DLXVIII\n",
      "569  :  DLXIX\n",
      "570  :  DLXX\n",
      "571  :  DLXXI\n",
      "572  :  DLXXII\n",
      "573  :  DLXXIII\n",
      "574  :  DLXXIV\n",
      "575  :  DLXXV\n",
      "576  :  DLXXVI\n",
      "577  :  DLXXVII\n",
      "578  :  DLXXVIII\n",
      "579  :  DLXXIX\n",
      "580  :  DLXXX\n",
      "581  :  DLXXXI\n",
      "582  :  DLXXXII\n",
      "583  :  DLXXXIII\n",
      "584  :  DLXXXIV\n",
      "585  :  DLXXXV\n",
      "586  :  DLXXXVI\n",
      "587  :  DLXXXVII\n",
      "588  :  DLXXXVIII\n",
      "589  :  DLXXXIX\n",
      "590  :  DXC\n",
      "591  :  DXCI\n",
      "592  :  DXCII\n",
      "593  :  DXCIII\n",
      "594  :  DXCIV\n",
      "595  :  DXCV\n",
      "596  :  DXCVI\n",
      "597  :  DXCVII\n",
      "598  :  DXCVIII\n",
      "599  :  DXCIX\n",
      "600  :  DC\n",
      "601  :  DCI\n",
      "602  :  DCII\n",
      "603  :  DCIII\n",
      "604  :  DCIV\n",
      "605  :  DCV\n",
      "606  :  DCVI\n",
      "607  :  DCVII\n",
      "608  :  DCVIII\n",
      "609  :  DCIX\n",
      "610  :  DCX\n",
      "611  :  DCXI\n",
      "612  :  DCXII\n",
      "613  :  DCXIII\n",
      "614  :  DCXIV\n",
      "615  :  DCXV\n",
      "616  :  DCXVI\n",
      "617  :  DCXVII\n",
      "618  :  DCXVIII\n",
      "619  :  DCXIX\n",
      "620  :  DCXX\n",
      "621  :  DCXXI\n",
      "622  :  DCXXII\n",
      "623  :  DCXXIII\n",
      "624  :  DCXXIV\n",
      "625  :  DCXXV\n",
      "626  :  DCXXVI\n",
      "627  :  DCXXVII\n",
      "628  :  DCXXVIII\n",
      "629  :  DCXXIX\n",
      "630  :  DCXXX\n",
      "631  :  DCXXXI\n",
      "632  :  DCXXXII\n",
      "633  :  DCXXXIII\n",
      "634  :  DCXXXIV\n",
      "635  :  DCXXXV\n",
      "636  :  DCXXXVI\n",
      "637  :  DCXXXVII\n",
      "638  :  DCXXXVIII\n",
      "639  :  DCXXXIX\n",
      "640  :  DCXL\n",
      "641  :  DCXLI\n",
      "642  :  DCXLII\n",
      "643  :  DCXLIII\n",
      "644  :  DCXLIV\n",
      "645  :  DCXLV\n",
      "646  :  DCXLVI\n",
      "647  :  DCXLVII\n",
      "648  :  DCXLVIII\n",
      "649  :  DCXLIX\n",
      "650  :  DCL\n",
      "651  :  DCLI\n",
      "652  :  DCLII\n",
      "653  :  DCLIII\n",
      "654  :  DCLIV\n",
      "655  :  DCLV\n",
      "656  :  DCLVI\n",
      "657  :  DCLVII\n",
      "658  :  DCLVIII\n",
      "659  :  DCLIX\n",
      "660  :  DCLX\n",
      "661  :  DCLXI\n",
      "662  :  DCLXII\n",
      "663  :  DCLXIII\n",
      "664  :  DCLXIV\n",
      "665  :  DCLXV\n",
      "666  :  DCLXVI\n",
      "667  :  DCLXVII\n",
      "668  :  DCLXVIII\n",
      "669  :  DCLXIX\n",
      "670  :  DCLXX\n",
      "671  :  DCLXXI\n",
      "672  :  DCLXXII\n",
      "673  :  DCLXXIII\n",
      "674  :  DCLXXIV\n",
      "675  :  DCLXXV\n",
      "676  :  DCLXXVI\n",
      "677  :  DCLXXVII\n",
      "678  :  DCLXXVIII\n",
      "679  :  DCLXXIX\n",
      "680  :  DCLXXX\n",
      "681  :  DCLXXXI\n",
      "682  :  DCLXXXII\n",
      "683  :  DCLXXXIII\n",
      "684  :  DCLXXXIV\n",
      "685  :  DCLXXXV\n",
      "686  :  DCLXXXVI\n",
      "687  :  DCLXXXVII\n",
      "688  :  DCLXXXVIII\n",
      "689  :  DCLXXXIX\n",
      "690  :  DCXC\n",
      "691  :  DCXCI\n",
      "692  :  DCXCII\n",
      "693  :  DCXCIII\n",
      "694  :  DCXCIV\n",
      "695  :  DCXCV\n",
      "696  :  DCXCVI\n",
      "697  :  DCXCVII\n",
      "698  :  DCXCVIII\n",
      "699  :  DCXCIX\n",
      "700  :  DCC\n",
      "701  :  DCCI\n",
      "702  :  DCCII\n",
      "703  :  DCCIII\n",
      "704  :  DCCIV\n",
      "705  :  DCCV\n",
      "706  :  DCCVI\n",
      "707  :  DCCVII\n",
      "708  :  DCCVIII\n",
      "709  :  DCCIX\n",
      "710  :  DCCX\n",
      "711  :  DCCXI\n",
      "712  :  DCCXII\n",
      "713  :  DCCXIII\n",
      "714  :  DCCXIV\n",
      "715  :  DCCXV\n",
      "716  :  DCCXVI\n",
      "717  :  DCCXVII\n",
      "718  :  DCCXVIII\n",
      "719  :  DCCXIX\n",
      "720  :  DCCXX\n",
      "721  :  DCCXXI\n",
      "722  :  DCCXXII\n",
      "723  :  DCCXXIII\n",
      "724  :  DCCXXIV\n",
      "725  :  DCCXXV\n",
      "726  :  DCCXXVI\n",
      "727  :  DCCXXVII\n",
      "728  :  DCCXXVIII\n",
      "729  :  DCCXXIX\n",
      "730  :  DCCXXX\n",
      "731  :  DCCXXXI\n",
      "732  :  DCCXXXII\n",
      "733  :  DCCXXXIII\n",
      "734  :  DCCXXXIV\n",
      "735  :  DCCXXXV\n",
      "736  :  DCCXXXVI\n",
      "737  :  DCCXXXVII\n",
      "738  :  DCCXXXVIII\n",
      "739  :  DCCXXXIX\n",
      "740  :  DCCXL\n",
      "741  :  DCCXLI\n",
      "742  :  DCCXLII\n",
      "743  :  DCCXLIII\n",
      "744  :  DCCXLIV\n",
      "745  :  DCCXLV\n",
      "746  :  DCCXLVI\n",
      "747  :  DCCXLVII\n",
      "748  :  DCCXLVIII\n",
      "749  :  DCCXLIX\n",
      "750  :  DCCL\n",
      "751  :  DCCLI\n",
      "752  :  DCCLII\n",
      "753  :  DCCLIII\n",
      "754  :  DCCLIV\n",
      "755  :  DCCLV\n",
      "756  :  DCCLVI\n",
      "757  :  DCCLVII\n",
      "758  :  DCCLVIII\n",
      "759  :  DCCLIX\n",
      "760  :  DCCLX\n",
      "761  :  DCCLXI\n",
      "762  :  DCCLXII\n",
      "763  :  DCCLXIII\n",
      "764  :  DCCLXIV\n",
      "765  :  DCCLXV\n",
      "766  :  DCCLXVI\n",
      "767  :  DCCLXVII\n",
      "768  :  DCCLXVIII\n",
      "769  :  DCCLXIX\n",
      "770  :  DCCLXX\n",
      "771  :  DCCLXXI\n",
      "772  :  DCCLXXII\n",
      "773  :  DCCLXXIII\n",
      "774  :  DCCLXXIV\n",
      "775  :  DCCLXXV\n",
      "776  :  DCCLXXVI\n",
      "777  :  DCCLXXVII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "778  :  DCCLXXVIII\n",
      "779  :  DCCLXXIX\n",
      "780  :  DCCLXXX\n",
      "781  :  DCCLXXXI\n",
      "782  :  DCCLXXXII\n",
      "783  :  DCCLXXXIII\n",
      "784  :  DCCLXXXIV\n",
      "785  :  DCCLXXXV\n",
      "786  :  DCCLXXXVI\n",
      "787  :  DCCLXXXVII\n",
      "788  :  DCCLXXXVIII\n",
      "789  :  DCCLXXXIX\n",
      "790  :  DCCXC\n",
      "791  :  DCCXCI\n",
      "792  :  DCCXCII\n",
      "793  :  DCCXCIII\n",
      "794  :  DCCXCIV\n",
      "795  :  DCCXCV\n",
      "796  :  DCCXCVI\n",
      "797  :  DCCXCVII\n",
      "798  :  DCCXCVIII\n",
      "799  :  DCCXCIX\n",
      "800  :  DCCC\n",
      "801  :  DCCCI\n",
      "802  :  DCCCII\n",
      "803  :  DCCCIII\n",
      "804  :  DCCCIV\n",
      "805  :  DCCCV\n",
      "806  :  DCCCVI\n",
      "807  :  DCCCVII\n",
      "808  :  DCCCVIII\n",
      "809  :  DCCCIX\n",
      "810  :  DCCCX\n",
      "811  :  DCCCXI\n",
      "812  :  DCCCXII\n",
      "813  :  DCCCXIII\n",
      "814  :  DCCCXIV\n",
      "815  :  DCCCXV\n",
      "816  :  DCCCXVI\n",
      "817  :  DCCCXVII\n",
      "818  :  DCCCXVIII\n",
      "819  :  DCCCXIX\n",
      "820  :  DCCCXX\n",
      "821  :  DCCCXXI\n",
      "822  :  DCCCXXII\n",
      "823  :  DCCCXXIII\n",
      "824  :  DCCCXXIV\n",
      "825  :  DCCCXXV\n",
      "826  :  DCCCXXVI\n",
      "827  :  DCCCXXVII\n",
      "828  :  DCCCXXVIII\n",
      "829  :  DCCCXXIX\n",
      "830  :  DCCCXXX\n",
      "831  :  DCCCXXXI\n",
      "832  :  DCCCXXXII\n",
      "833  :  DCCCXXXIII\n",
      "834  :  DCCCXXXIV\n",
      "835  :  DCCCXXXV\n",
      "836  :  DCCCXXXVI\n",
      "837  :  DCCCXXXVII\n",
      "838  :  DCCCXXXVIII\n",
      "839  :  DCCCXXXIX\n",
      "840  :  DCCCXL\n",
      "841  :  DCCCXLI\n",
      "842  :  DCCCXLII\n",
      "843  :  DCCCXLIII\n",
      "844  :  DCCCXLIV\n",
      "845  :  DCCCXLV\n",
      "846  :  DCCCXLVI\n",
      "847  :  DCCCXLVII\n",
      "848  :  DCCCXLVIII\n",
      "849  :  DCCCXLIX\n",
      "850  :  DCCCL\n",
      "851  :  DCCCLI\n",
      "852  :  DCCCLII\n",
      "853  :  DCCCLIII\n",
      "854  :  DCCCLIV\n",
      "855  :  DCCCLV\n",
      "856  :  DCCCLVI\n",
      "857  :  DCCCLVII\n",
      "858  :  DCCCLVIII\n",
      "859  :  DCCCLIX\n",
      "860  :  DCCCLX\n",
      "861  :  DCCCLXI\n",
      "862  :  DCCCLXII\n",
      "863  :  DCCCLXIII\n",
      "864  :  DCCCLXIV\n",
      "865  :  DCCCLXV\n",
      "866  :  DCCCLXVI\n",
      "867  :  DCCCLXVII\n",
      "868  :  DCCCLXVIII\n",
      "869  :  DCCCLXIX\n",
      "870  :  DCCCLXX\n",
      "871  :  DCCCLXXI\n",
      "872  :  DCCCLXXII\n",
      "873  :  DCCCLXXIII\n",
      "874  :  DCCCLXXIV\n",
      "875  :  DCCCLXXV\n",
      "876  :  DCCCLXXVI\n",
      "877  :  DCCCLXXVII\n",
      "878  :  DCCCLXXVIII\n",
      "879  :  DCCCLXXIX\n",
      "880  :  DCCCLXXX\n",
      "881  :  DCCCLXXXI\n",
      "882  :  DCCCLXXXII\n",
      "883  :  DCCCLXXXIII\n",
      "884  :  DCCCLXXXIV\n",
      "885  :  DCCCLXXXV\n",
      "886  :  DCCCLXXXVI\n",
      "887  :  DCCCLXXXVII\n",
      "888  :  DCCCLXXXVIII\n",
      "889  :  DCCCLXXXIX\n",
      "890  :  DCCCXC\n",
      "891  :  DCCCXCI\n",
      "892  :  DCCCXCII\n",
      "893  :  DCCCXCIII\n",
      "894  :  DCCCXCIV\n",
      "895  :  DCCCXCV\n",
      "896  :  DCCCXCVI\n",
      "897  :  DCCCXCVII\n",
      "898  :  DCCCXCVIII\n",
      "899  :  DCCCXCIX\n",
      "900  :  CM\n",
      "901  :  CMI\n",
      "902  :  CMII\n",
      "903  :  CMIII\n",
      "904  :  CMIV\n",
      "905  :  CMV\n",
      "906  :  CMVI\n",
      "907  :  CMVII\n",
      "908  :  CMVIII\n",
      "909  :  CMIX\n",
      "910  :  CMX\n",
      "911  :  CMXI\n",
      "912  :  CMXII\n",
      "913  :  CMXIII\n",
      "914  :  CMXIV\n",
      "915  :  CMXV\n",
      "916  :  CMXVI\n",
      "917  :  CMXVII\n",
      "918  :  CMXVIII\n",
      "919  :  CMXIX\n",
      "920  :  CMXX\n",
      "921  :  CMXXI\n",
      "922  :  CMXXII\n",
      "923  :  CMXXIII\n",
      "924  :  CMXXIV\n",
      "925  :  CMXXV\n",
      "926  :  CMXXVI\n",
      "927  :  CMXXVII\n",
      "928  :  CMXXVIII\n",
      "929  :  CMXXIX\n",
      "930  :  CMXXX\n",
      "931  :  CMXXXI\n",
      "932  :  CMXXXII\n",
      "933  :  CMXXXIII\n",
      "934  :  CMXXXIV\n",
      "935  :  CMXXXV\n",
      "936  :  CMXXXVI\n",
      "937  :  CMXXXVII\n",
      "938  :  CMXXXVIII\n",
      "939  :  CMXXXIX\n",
      "940  :  CMXL\n",
      "941  :  CMXLI\n",
      "942  :  CMXLII\n",
      "943  :  CMXLIII\n",
      "944  :  CMXLIV\n",
      "945  :  CMXLV\n",
      "946  :  CMXLVI\n",
      "947  :  CMXLVII\n",
      "948  :  CMXLVIII\n",
      "949  :  CMXLIX\n",
      "950  :  CML\n",
      "951  :  CMLI\n",
      "952  :  CMLII\n",
      "953  :  CMLIII\n",
      "954  :  CMLIV\n",
      "955  :  CMLV\n",
      "956  :  CMLVI\n",
      "957  :  CMLVII\n",
      "958  :  CMLVIII\n",
      "959  :  CMLIX\n",
      "960  :  CMLX\n",
      "961  :  CMLXI\n",
      "962  :  CMLXII\n",
      "963  :  CMLXIII\n",
      "964  :  CMLXIV\n",
      "965  :  CMLXV\n",
      "966  :  CMLXVI\n",
      "967  :  CMLXVII\n",
      "968  :  CMLXVIII\n",
      "969  :  CMLXIX\n",
      "970  :  CMLXX\n",
      "971  :  CMLXXI\n",
      "972  :  CMLXXII\n",
      "973  :  CMLXXIII\n",
      "974  :  CMLXXIV\n",
      "975  :  CMLXXV\n",
      "976  :  CMLXXVI\n",
      "977  :  CMLXXVII\n",
      "978  :  CMLXXVIII\n",
      "979  :  CMLXXIX\n",
      "980  :  CMLXXX\n",
      "981  :  CMLXXXI\n",
      "982  :  CMLXXXII\n",
      "983  :  CMLXXXIII\n",
      "984  :  CMLXXXIV\n",
      "985  :  CMLXXXV\n",
      "986  :  CMLXXXVI\n",
      "987  :  CMLXXXVII\n",
      "988  :  CMLXXXVIII\n",
      "989  :  CMLXXXIX\n",
      "990  :  CMXC\n",
      "991  :  CMXCI\n",
      "992  :  CMXCII\n",
      "993  :  CMXCIII\n",
      "994  :  CMXCIV\n",
      "995  :  CMXCV\n",
      "996  :  CMXCVI\n",
      "997  :  CMXCVII\n",
      "998  :  CMXCVIII\n",
      "999  :  CMXCIX\n",
      "1000  :  M\n",
      "1001  :  MI\n",
      "1002  :  MII\n",
      "1003  :  MIII\n",
      "1004  :  MIV\n",
      "1005  :  MV\n",
      "1006  :  MVI\n",
      "1007  :  MVII\n",
      "1008  :  MVIII\n",
      "1009  :  MIX\n",
      "1010  :  MX\n",
      "1011  :  MXI\n",
      "1012  :  MXII\n",
      "1013  :  MXIII\n",
      "1014  :  MXIV\n",
      "1015  :  MXV\n",
      "1016  :  MXVI\n",
      "1017  :  MXVII\n",
      "1018  :  MXVIII\n",
      "1019  :  MXIX\n",
      "1020  :  MXX\n",
      "1021  :  MXXI\n",
      "1022  :  MXXII\n",
      "1023  :  MXXIII\n",
      "1024  :  MXXIV\n",
      "1025  :  MXXV\n",
      "1026  :  MXXVI\n",
      "1027  :  MXXVII\n",
      "1028  :  MXXVIII\n",
      "1029  :  MXXIX\n",
      "1030  :  MXXX\n",
      "1031  :  MXXXI\n",
      "1032  :  MXXXII\n",
      "1033  :  MXXXIII\n",
      "1034  :  MXXXIV\n",
      "1035  :  MXXXV\n",
      "1036  :  MXXXVI\n",
      "1037  :  MXXXVII\n",
      "1038  :  MXXXVIII\n",
      "1039  :  MXXXIX\n",
      "1040  :  MXL\n",
      "1041  :  MXLI\n",
      "1042  :  MXLII\n",
      "1043  :  MXLIII\n",
      "1044  :  MXLIV\n",
      "1045  :  MXLV\n",
      "1046  :  MXLVI\n",
      "1047  :  MXLVII\n",
      "1048  :  MXLVIII\n",
      "1049  :  MXLIX\n",
      "1050  :  ML\n",
      "1051  :  MLI\n",
      "1052  :  MLII\n",
      "1053  :  MLIII\n",
      "1054  :  MLIV\n",
      "1055  :  MLV\n",
      "1056  :  MLVI\n",
      "1057  :  MLVII\n",
      "1058  :  MLVIII\n",
      "1059  :  MLIX\n",
      "1060  :  MLX\n",
      "1061  :  MLXI\n",
      "1062  :  MLXII\n",
      "1063  :  MLXIII\n",
      "1064  :  MLXIV\n",
      "1065  :  MLXV\n",
      "1066  :  MLXVI\n",
      "1067  :  MLXVII\n",
      "1068  :  MLXVIII\n",
      "1069  :  MLXIX\n",
      "1070  :  MLXX\n",
      "1071  :  MLXXI\n",
      "1072  :  MLXXII\n",
      "1073  :  MLXXIII\n",
      "1074  :  MLXXIV\n",
      "1075  :  MLXXV\n",
      "1076  :  MLXXVI\n",
      "1077  :  MLXXVII\n",
      "1078  :  MLXXVIII\n",
      "1079  :  MLXXIX\n",
      "1080  :  MLXXX\n",
      "1081  :  MLXXXI\n",
      "1082  :  MLXXXII\n",
      "1083  :  MLXXXIII\n",
      "1084  :  MLXXXIV\n",
      "1085  :  MLXXXV\n",
      "1086  :  MLXXXVI\n",
      "1087  :  MLXXXVII\n",
      "1088  :  MLXXXVIII\n",
      "1089  :  MLXXXIX\n",
      "1090  :  MXC\n",
      "1091  :  MXCI\n",
      "1092  :  MXCII\n",
      "1093  :  MXCIII\n",
      "1094  :  MXCIV\n",
      "1095  :  MXCV\n",
      "1096  :  MXCVI\n",
      "1097  :  MXCVII\n",
      "1098  :  MXCVIII\n",
      "1099  :  MXCIX\n",
      "1100  :  MC\n",
      "1101  :  MCI\n",
      "1102  :  MCII\n",
      "1103  :  MCIII\n",
      "1104  :  MCIV\n",
      "1105  :  MCV\n",
      "1106  :  MCVI\n",
      "1107  :  MCVII\n",
      "1108  :  MCVIII\n",
      "1109  :  MCIX\n",
      "1110  :  MCX\n",
      "1111  :  MCXI\n",
      "1112  :  MCXII\n",
      "1113  :  MCXIII\n",
      "1114  :  MCXIV\n",
      "1115  :  MCXV\n",
      "1116  :  MCXVI\n",
      "1117  :  MCXVII\n",
      "1118  :  MCXVIII\n",
      "1119  :  MCXIX\n",
      "1120  :  MCXX\n",
      "1121  :  MCXXI\n",
      "1122  :  MCXXII\n",
      "1123  :  MCXXIII\n",
      "1124  :  MCXXIV\n",
      "1125  :  MCXXV\n",
      "1126  :  MCXXVI\n",
      "1127  :  MCXXVII\n",
      "1128  :  MCXXVIII\n",
      "1129  :  MCXXIX\n",
      "1130  :  MCXXX\n",
      "1131  :  MCXXXI\n",
      "1132  :  MCXXXII\n",
      "1133  :  MCXXXIII\n",
      "1134  :  MCXXXIV\n",
      "1135  :  MCXXXV\n",
      "1136  :  MCXXXVI\n",
      "1137  :  MCXXXVII\n",
      "1138  :  MCXXXVIII\n",
      "1139  :  MCXXXIX\n",
      "1140  :  MCXL\n",
      "1141  :  MCXLI\n",
      "1142  :  MCXLII\n",
      "1143  :  MCXLIII\n",
      "1144  :  MCXLIV\n",
      "1145  :  MCXLV\n",
      "1146  :  MCXLVI\n",
      "1147  :  MCXLVII\n",
      "1148  :  MCXLVIII\n",
      "1149  :  MCXLIX\n",
      "1150  :  MCL\n",
      "1151  :  MCLI\n",
      "1152  :  MCLII\n",
      "1153  :  MCLIII\n",
      "1154  :  MCLIV\n",
      "1155  :  MCLV\n",
      "1156  :  MCLVI\n",
      "1157  :  MCLVII\n",
      "1158  :  MCLVIII\n",
      "1159  :  MCLIX\n",
      "1160  :  MCLX\n",
      "1161  :  MCLXI\n",
      "1162  :  MCLXII\n",
      "1163  :  MCLXIII\n",
      "1164  :  MCLXIV\n",
      "1165  :  MCLXV\n",
      "1166  :  MCLXVI\n",
      "1167  :  MCLXVII\n",
      "1168  :  MCLXVIII\n",
      "1169  :  MCLXIX\n",
      "1170  :  MCLXX\n",
      "1171  :  MCLXXI\n",
      "1172  :  MCLXXII\n",
      "1173  :  MCLXXIII\n",
      "1174  :  MCLXXIV\n",
      "1175  :  MCLXXV\n",
      "1176  :  MCLXXVI\n",
      "1177  :  MCLXXVII\n",
      "1178  :  MCLXXVIII\n",
      "1179  :  MCLXXIX\n",
      "1180  :  MCLXXX\n",
      "1181  :  MCLXXXI\n",
      "1182  :  MCLXXXII\n",
      "1183  :  MCLXXXIII\n",
      "1184  :  MCLXXXIV\n",
      "1185  :  MCLXXXV\n",
      "1186  :  MCLXXXVI\n",
      "1187  :  MCLXXXVII\n",
      "1188  :  MCLXXXVIII\n",
      "1189  :  MCLXXXIX\n",
      "1190  :  MCXC\n",
      "1191  :  MCXCI\n",
      "1192  :  MCXCII\n",
      "1193  :  MCXCIII\n",
      "1194  :  MCXCIV\n",
      "1195  :  MCXCV\n",
      "1196  :  MCXCVI\n",
      "1197  :  MCXCVII\n",
      "1198  :  MCXCVIII\n",
      "1199  :  MCXCIX\n",
      "1200  :  MCC\n",
      "1201  :  MCCI\n",
      "1202  :  MCCII\n",
      "1203  :  MCCIII\n",
      "1204  :  MCCIV\n",
      "1205  :  MCCV\n",
      "1206  :  MCCVI\n",
      "1207  :  MCCVII\n",
      "1208  :  MCCVIII\n",
      "1209  :  MCCIX\n",
      "1210  :  MCCX\n",
      "1211  :  MCCXI\n",
      "1212  :  MCCXII\n",
      "1213  :  MCCXIII\n",
      "1214  :  MCCXIV\n",
      "1215  :  MCCXV\n",
      "1216  :  MCCXVI\n",
      "1217  :  MCCXVII\n",
      "1218  :  MCCXVIII\n",
      "1219  :  MCCXIX\n",
      "1220  :  MCCXX\n",
      "1221  :  MCCXXI\n",
      "1222  :  MCCXXII\n",
      "1223  :  MCCXXIII\n",
      "1224  :  MCCXXIV\n",
      "1225  :  MCCXXV\n",
      "1226  :  MCCXXVI\n",
      "1227  :  MCCXXVII\n",
      "1228  :  MCCXXVIII\n",
      "1229  :  MCCXXIX\n",
      "1230  :  MCCXXX\n",
      "1231  :  MCCXXXI\n",
      "1232  :  MCCXXXII\n",
      "1233  :  MCCXXXIII\n",
      "1234  :  MCCXXXIV\n",
      "1235  :  MCCXXXV\n",
      "1236  :  MCCXXXVI\n",
      "1237  :  MCCXXXVII\n",
      "1238  :  MCCXXXVIII\n",
      "1239  :  MCCXXXIX\n",
      "1240  :  MCCXL\n",
      "1241  :  MCCXLI\n",
      "1242  :  MCCXLII\n",
      "1243  :  MCCXLIII\n",
      "1244  :  MCCXLIV\n",
      "1245  :  MCCXLV\n",
      "1246  :  MCCXLVI\n",
      "1247  :  MCCXLVII\n",
      "1248  :  MCCXLVIII\n",
      "1249  :  MCCXLIX\n",
      "1250  :  MCCL\n",
      "1251  :  MCCLI\n",
      "1252  :  MCCLII\n",
      "1253  :  MCCLIII\n",
      "1254  :  MCCLIV\n",
      "1255  :  MCCLV\n",
      "1256  :  MCCLVI\n",
      "1257  :  MCCLVII\n",
      "1258  :  MCCLVIII\n",
      "1259  :  MCCLIX\n",
      "1260  :  MCCLX\n",
      "1261  :  MCCLXI\n",
      "1262  :  MCCLXII\n",
      "1263  :  MCCLXIII\n",
      "1264  :  MCCLXIV\n",
      "1265  :  MCCLXV\n",
      "1266  :  MCCLXVI\n",
      "1267  :  MCCLXVII\n",
      "1268  :  MCCLXVIII\n",
      "1269  :  MCCLXIX\n",
      "1270  :  MCCLXX\n",
      "1271  :  MCCLXXI\n",
      "1272  :  MCCLXXII\n",
      "1273  :  MCCLXXIII\n",
      "1274  :  MCCLXXIV\n",
      "1275  :  MCCLXXV\n",
      "1276  :  MCCLXXVI\n",
      "1277  :  MCCLXXVII\n",
      "1278  :  MCCLXXVIII\n",
      "1279  :  MCCLXXIX\n",
      "1280  :  MCCLXXX\n",
      "1281  :  MCCLXXXI\n",
      "1282  :  MCCLXXXII\n",
      "1283  :  MCCLXXXIII\n",
      "1284  :  MCCLXXXIV\n",
      "1285  :  MCCLXXXV\n",
      "1286  :  MCCLXXXVI\n",
      "1287  :  MCCLXXXVII\n",
      "1288  :  MCCLXXXVIII\n",
      "1289  :  MCCLXXXIX\n",
      "1290  :  MCCXC\n",
      "1291  :  MCCXCI\n",
      "1292  :  MCCXCII\n",
      "1293  :  MCCXCIII\n",
      "1294  :  MCCXCIV\n",
      "1295  :  MCCXCV\n",
      "1296  :  MCCXCVI\n",
      "1297  :  MCCXCVII\n",
      "1298  :  MCCXCVIII\n",
      "1299  :  MCCXCIX\n",
      "1300  :  MCCC\n",
      "1301  :  MCCCI\n",
      "1302  :  MCCCII\n",
      "1303  :  MCCCIII\n",
      "1304  :  MCCCIV\n",
      "1305  :  MCCCV\n",
      "1306  :  MCCCVI\n",
      "1307  :  MCCCVII\n",
      "1308  :  MCCCVIII\n",
      "1309  :  MCCCIX\n",
      "1310  :  MCCCX\n",
      "1311  :  MCCCXI\n",
      "1312  :  MCCCXII\n",
      "1313  :  MCCCXIII\n",
      "1314  :  MCCCXIV\n",
      "1315  :  MCCCXV\n",
      "1316  :  MCCCXVI\n",
      "1317  :  MCCCXVII\n",
      "1318  :  MCCCXVIII\n",
      "1319  :  MCCCXIX\n",
      "1320  :  MCCCXX\n",
      "1321  :  MCCCXXI\n",
      "1322  :  MCCCXXII\n",
      "1323  :  MCCCXXIII\n",
      "1324  :  MCCCXXIV\n",
      "1325  :  MCCCXXV\n",
      "1326  :  MCCCXXVI\n",
      "1327  :  MCCCXXVII\n",
      "1328  :  MCCCXXVIII\n",
      "1329  :  MCCCXXIX\n",
      "1330  :  MCCCXXX\n",
      "1331  :  MCCCXXXI\n",
      "1332  :  MCCCXXXII\n",
      "1333  :  MCCCXXXIII\n",
      "1334  :  MCCCXXXIV\n",
      "1335  :  MCCCXXXV\n",
      "1336  :  MCCCXXXVI\n",
      "1337  :  MCCCXXXVII\n",
      "1338  :  MCCCXXXVIII\n",
      "1339  :  MCCCXXXIX\n",
      "1340  :  MCCCXL\n",
      "1341  :  MCCCXLI\n",
      "1342  :  MCCCXLII\n",
      "1343  :  MCCCXLIII\n",
      "1344  :  MCCCXLIV\n",
      "1345  :  MCCCXLV\n",
      "1346  :  MCCCXLVI\n",
      "1347  :  MCCCXLVII\n",
      "1348  :  MCCCXLVIII\n",
      "1349  :  MCCCXLIX\n",
      "1350  :  MCCCL\n",
      "1351  :  MCCCLI\n",
      "1352  :  MCCCLII\n",
      "1353  :  MCCCLIII\n",
      "1354  :  MCCCLIV\n",
      "1355  :  MCCCLV\n",
      "1356  :  MCCCLVI\n",
      "1357  :  MCCCLVII\n",
      "1358  :  MCCCLVIII\n",
      "1359  :  MCCCLIX\n",
      "1360  :  MCCCLX\n",
      "1361  :  MCCCLXI\n",
      "1362  :  MCCCLXII\n",
      "1363  :  MCCCLXIII\n",
      "1364  :  MCCCLXIV\n",
      "1365  :  MCCCLXV\n",
      "1366  :  MCCCLXVI\n",
      "1367  :  MCCCLXVII\n",
      "1368  :  MCCCLXVIII\n",
      "1369  :  MCCCLXIX\n",
      "1370  :  MCCCLXX\n",
      "1371  :  MCCCLXXI\n",
      "1372  :  MCCCLXXII\n",
      "1373  :  MCCCLXXIII\n",
      "1374  :  MCCCLXXIV\n",
      "1375  :  MCCCLXXV\n",
      "1376  :  MCCCLXXVI\n",
      "1377  :  MCCCLXXVII\n",
      "1378  :  MCCCLXXVIII\n",
      "1379  :  MCCCLXXIX\n",
      "1380  :  MCCCLXXX\n",
      "1381  :  MCCCLXXXI\n",
      "1382  :  MCCCLXXXII\n",
      "1383  :  MCCCLXXXIII\n",
      "1384  :  MCCCLXXXIV\n",
      "1385  :  MCCCLXXXV\n",
      "1386  :  MCCCLXXXVI\n",
      "1387  :  MCCCLXXXVII\n",
      "1388  :  MCCCLXXXVIII\n",
      "1389  :  MCCCLXXXIX\n",
      "1390  :  MCCCXC\n",
      "1391  :  MCCCXCI\n",
      "1392  :  MCCCXCII\n",
      "1393  :  MCCCXCIII\n",
      "1394  :  MCCCXCIV\n",
      "1395  :  MCCCXCV\n",
      "1396  :  MCCCXCVI\n",
      "1397  :  MCCCXCVII\n",
      "1398  :  MCCCXCVIII\n",
      "1399  :  MCCCXCIX\n",
      "1400  :  MCD\n",
      "1401  :  MCDI\n",
      "1402  :  MCDII\n",
      "1403  :  MCDIII\n",
      "1404  :  MCDIV\n",
      "1405  :  MCDV\n",
      "1406  :  MCDVI\n",
      "1407  :  MCDVII\n",
      "1408  :  MCDVIII\n",
      "1409  :  MCDIX\n",
      "1410  :  MCDX\n",
      "1411  :  MCDXI\n",
      "1412  :  MCDXII\n",
      "1413  :  MCDXIII\n",
      "1414  :  MCDXIV\n",
      "1415  :  MCDXV\n",
      "1416  :  MCDXVI\n",
      "1417  :  MCDXVII\n",
      "1418  :  MCDXVIII\n",
      "1419  :  MCDXIX\n",
      "1420  :  MCDXX\n",
      "1421  :  MCDXXI\n",
      "1422  :  MCDXXII\n",
      "1423  :  MCDXXIII\n",
      "1424  :  MCDXXIV\n",
      "1425  :  MCDXXV\n",
      "1426  :  MCDXXVI\n",
      "1427  :  MCDXXVII\n",
      "1428  :  MCDXXVIII\n",
      "1429  :  MCDXXIX\n",
      "1430  :  MCDXXX\n",
      "1431  :  MCDXXXI\n",
      "1432  :  MCDXXXII\n",
      "1433  :  MCDXXXIII\n",
      "1434  :  MCDXXXIV\n",
      "1435  :  MCDXXXV\n",
      "1436  :  MCDXXXVI\n",
      "1437  :  MCDXXXVII\n",
      "1438  :  MCDXXXVIII\n",
      "1439  :  MCDXXXIX\n",
      "1440  :  MCDXL\n",
      "1441  :  MCDXLI\n",
      "1442  :  MCDXLII\n",
      "1443  :  MCDXLIII\n",
      "1444  :  MCDXLIV\n",
      "1445  :  MCDXLV\n",
      "1446  :  MCDXLVI\n",
      "1447  :  MCDXLVII\n",
      "1448  :  MCDXLVIII\n",
      "1449  :  MCDXLIX\n",
      "1450  :  MCDL\n",
      "1451  :  MCDLI\n",
      "1452  :  MCDLII\n",
      "1453  :  MCDLIII\n",
      "1454  :  MCDLIV\n",
      "1455  :  MCDLV\n",
      "1456  :  MCDLVI\n",
      "1457  :  MCDLVII\n",
      "1458  :  MCDLVIII\n",
      "1459  :  MCDLIX\n",
      "1460  :  MCDLX\n",
      "1461  :  MCDLXI\n",
      "1462  :  MCDLXII\n",
      "1463  :  MCDLXIII\n",
      "1464  :  MCDLXIV\n",
      "1465  :  MCDLXV\n",
      "1466  :  MCDLXVI\n",
      "1467  :  MCDLXVII\n",
      "1468  :  MCDLXVIII\n",
      "1469  :  MCDLXIX\n",
      "1470  :  MCDLXX\n",
      "1471  :  MCDLXXI\n",
      "1472  :  MCDLXXII\n",
      "1473  :  MCDLXXIII\n",
      "1474  :  MCDLXXIV\n",
      "1475  :  MCDLXXV\n",
      "1476  :  MCDLXXVI\n",
      "1477  :  MCDLXXVII\n",
      "1478  :  MCDLXXVIII\n",
      "1479  :  MCDLXXIX\n",
      "1480  :  MCDLXXX\n",
      "1481  :  MCDLXXXI\n",
      "1482  :  MCDLXXXII\n",
      "1483  :  MCDLXXXIII\n",
      "1484  :  MCDLXXXIV\n",
      "1485  :  MCDLXXXV\n",
      "1486  :  MCDLXXXVI\n",
      "1487  :  MCDLXXXVII\n",
      "1488  :  MCDLXXXVIII\n",
      "1489  :  MCDLXXXIX\n",
      "1490  :  MCDXC\n",
      "1491  :  MCDXCI\n",
      "1492  :  MCDXCII\n",
      "1493  :  MCDXCIII\n",
      "1494  :  MCDXCIV\n",
      "1495  :  MCDXCV\n",
      "1496  :  MCDXCVI\n",
      "1497  :  MCDXCVII\n",
      "1498  :  MCDXCVIII\n",
      "1499  :  MCDXCIX\n",
      "1500  :  MD\n",
      "1501  :  MDI\n",
      "1502  :  MDII\n",
      "1503  :  MDIII\n",
      "1504  :  MDIV\n",
      "1505  :  MDV\n",
      "1506  :  MDVI\n",
      "1507  :  MDVII\n",
      "1508  :  MDVIII\n",
      "1509  :  MDIX\n",
      "1510  :  MDX\n",
      "1511  :  MDXI\n",
      "1512  :  MDXII\n",
      "1513  :  MDXIII\n",
      "1514  :  MDXIV\n",
      "1515  :  MDXV\n",
      "1516  :  MDXVI\n",
      "1517  :  MDXVII\n",
      "1518  :  MDXVIII\n",
      "1519  :  MDXIX\n",
      "1520  :  MDXX\n",
      "1521  :  MDXXI\n",
      "1522  :  MDXXII\n",
      "1523  :  MDXXIII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1524  :  MDXXIV\n",
      "1525  :  MDXXV\n",
      "1526  :  MDXXVI\n",
      "1527  :  MDXXVII\n",
      "1528  :  MDXXVIII\n",
      "1529  :  MDXXIX\n",
      "1530  :  MDXXX\n",
      "1531  :  MDXXXI\n",
      "1532  :  MDXXXII\n",
      "1533  :  MDXXXIII\n",
      "1534  :  MDXXXIV\n",
      "1535  :  MDXXXV\n",
      "1536  :  MDXXXVI\n",
      "1537  :  MDXXXVII\n",
      "1538  :  MDXXXVIII\n",
      "1539  :  MDXXXIX\n",
      "1540  :  MDXL\n",
      "1541  :  MDXLI\n",
      "1542  :  MDXLII\n",
      "1543  :  MDXLIII\n",
      "1544  :  MDXLIV\n",
      "1545  :  MDXLV\n",
      "1546  :  MDXLVI\n",
      "1547  :  MDXLVII\n",
      "1548  :  MDXLVIII\n",
      "1549  :  MDXLIX\n",
      "1550  :  MDL\n",
      "1551  :  MDLI\n",
      "1552  :  MDLII\n",
      "1553  :  MDLIII\n",
      "1554  :  MDLIV\n",
      "1555  :  MDLV\n",
      "1556  :  MDLVI\n",
      "1557  :  MDLVII\n",
      "1558  :  MDLVIII\n",
      "1559  :  MDLIX\n",
      "1560  :  MDLX\n",
      "1561  :  MDLXI\n",
      "1562  :  MDLXII\n",
      "1563  :  MDLXIII\n",
      "1564  :  MDLXIV\n",
      "1565  :  MDLXV\n",
      "1566  :  MDLXVI\n",
      "1567  :  MDLXVII\n",
      "1568  :  MDLXVIII\n",
      "1569  :  MDLXIX\n",
      "1570  :  MDLXX\n",
      "1571  :  MDLXXI\n",
      "1572  :  MDLXXII\n",
      "1573  :  MDLXXIII\n",
      "1574  :  MDLXXIV\n",
      "1575  :  MDLXXV\n",
      "1576  :  MDLXXVI\n",
      "1577  :  MDLXXVII\n",
      "1578  :  MDLXXVIII\n",
      "1579  :  MDLXXIX\n",
      "1580  :  MDLXXX\n",
      "1581  :  MDLXXXI\n",
      "1582  :  MDLXXXII\n",
      "1583  :  MDLXXXIII\n",
      "1584  :  MDLXXXIV\n",
      "1585  :  MDLXXXV\n",
      "1586  :  MDLXXXVI\n",
      "1587  :  MDLXXXVII\n",
      "1588  :  MDLXXXVIII\n",
      "1589  :  MDLXXXIX\n",
      "1590  :  MDXC\n",
      "1591  :  MDXCI\n",
      "1592  :  MDXCII\n",
      "1593  :  MDXCIII\n",
      "1594  :  MDXCIV\n",
      "1595  :  MDXCV\n",
      "1596  :  MDXCVI\n",
      "1597  :  MDXCVII\n",
      "1598  :  MDXCVIII\n",
      "1599  :  MDXCIX\n",
      "1600  :  MDC\n",
      "1601  :  MDCI\n",
      "1602  :  MDCII\n",
      "1603  :  MDCIII\n",
      "1604  :  MDCIV\n",
      "1605  :  MDCV\n",
      "1606  :  MDCVI\n",
      "1607  :  MDCVII\n",
      "1608  :  MDCVIII\n",
      "1609  :  MDCIX\n",
      "1610  :  MDCX\n",
      "1611  :  MDCXI\n",
      "1612  :  MDCXII\n",
      "1613  :  MDCXIII\n",
      "1614  :  MDCXIV\n",
      "1615  :  MDCXV\n",
      "1616  :  MDCXVI\n",
      "1617  :  MDCXVII\n",
      "1618  :  MDCXVIII\n",
      "1619  :  MDCXIX\n",
      "1620  :  MDCXX\n",
      "1621  :  MDCXXI\n",
      "1622  :  MDCXXII\n",
      "1623  :  MDCXXIII\n",
      "1624  :  MDCXXIV\n",
      "1625  :  MDCXXV\n",
      "1626  :  MDCXXVI\n",
      "1627  :  MDCXXVII\n",
      "1628  :  MDCXXVIII\n",
      "1629  :  MDCXXIX\n",
      "1630  :  MDCXXX\n",
      "1631  :  MDCXXXI\n",
      "1632  :  MDCXXXII\n",
      "1633  :  MDCXXXIII\n",
      "1634  :  MDCXXXIV\n",
      "1635  :  MDCXXXV\n",
      "1636  :  MDCXXXVI\n",
      "1637  :  MDCXXXVII\n",
      "1638  :  MDCXXXVIII\n",
      "1639  :  MDCXXXIX\n",
      "1640  :  MDCXL\n",
      "1641  :  MDCXLI\n",
      "1642  :  MDCXLII\n",
      "1643  :  MDCXLIII\n",
      "1644  :  MDCXLIV\n",
      "1645  :  MDCXLV\n",
      "1646  :  MDCXLVI\n",
      "1647  :  MDCXLVII\n",
      "1648  :  MDCXLVIII\n",
      "1649  :  MDCXLIX\n",
      "1650  :  MDCL\n",
      "1651  :  MDCLI\n",
      "1652  :  MDCLII\n",
      "1653  :  MDCLIII\n",
      "1654  :  MDCLIV\n",
      "1655  :  MDCLV\n",
      "1656  :  MDCLVI\n",
      "1657  :  MDCLVII\n",
      "1658  :  MDCLVIII\n",
      "1659  :  MDCLIX\n",
      "1660  :  MDCLX\n",
      "1661  :  MDCLXI\n",
      "1662  :  MDCLXII\n",
      "1663  :  MDCLXIII\n",
      "1664  :  MDCLXIV\n",
      "1665  :  MDCLXV\n",
      "1666  :  MDCLXVI\n",
      "1667  :  MDCLXVII\n",
      "1668  :  MDCLXVIII\n",
      "1669  :  MDCLXIX\n",
      "1670  :  MDCLXX\n",
      "1671  :  MDCLXXI\n",
      "1672  :  MDCLXXII\n",
      "1673  :  MDCLXXIII\n",
      "1674  :  MDCLXXIV\n",
      "1675  :  MDCLXXV\n",
      "1676  :  MDCLXXVI\n",
      "1677  :  MDCLXXVII\n",
      "1678  :  MDCLXXVIII\n",
      "1679  :  MDCLXXIX\n",
      "1680  :  MDCLXXX\n",
      "1681  :  MDCLXXXI\n",
      "1682  :  MDCLXXXII\n",
      "1683  :  MDCLXXXIII\n",
      "1684  :  MDCLXXXIV\n",
      "1685  :  MDCLXXXV\n",
      "1686  :  MDCLXXXVI\n",
      "1687  :  MDCLXXXVII\n",
      "1688  :  MDCLXXXVIII\n",
      "1689  :  MDCLXXXIX\n",
      "1690  :  MDCXC\n",
      "1691  :  MDCXCI\n",
      "1692  :  MDCXCII\n",
      "1693  :  MDCXCIII\n",
      "1694  :  MDCXCIV\n",
      "1695  :  MDCXCV\n",
      "1696  :  MDCXCVI\n",
      "1697  :  MDCXCVII\n",
      "1698  :  MDCXCVIII\n",
      "1699  :  MDCXCIX\n",
      "1700  :  MDCC\n",
      "1701  :  MDCCI\n",
      "1702  :  MDCCII\n",
      "1703  :  MDCCIII\n",
      "1704  :  MDCCIV\n",
      "1705  :  MDCCV\n",
      "1706  :  MDCCVI\n",
      "1707  :  MDCCVII\n",
      "1708  :  MDCCVIII\n",
      "1709  :  MDCCIX\n",
      "1710  :  MDCCX\n",
      "1711  :  MDCCXI\n",
      "1712  :  MDCCXII\n",
      "1713  :  MDCCXIII\n",
      "1714  :  MDCCXIV\n",
      "1715  :  MDCCXV\n",
      "1716  :  MDCCXVI\n",
      "1717  :  MDCCXVII\n",
      "1718  :  MDCCXVIII\n",
      "1719  :  MDCCXIX\n",
      "1720  :  MDCCXX\n",
      "1721  :  MDCCXXI\n",
      "1722  :  MDCCXXII\n",
      "1723  :  MDCCXXIII\n",
      "1724  :  MDCCXXIV\n",
      "1725  :  MDCCXXV\n",
      "1726  :  MDCCXXVI\n",
      "1727  :  MDCCXXVII\n",
      "1728  :  MDCCXXVIII\n",
      "1729  :  MDCCXXIX\n",
      "1730  :  MDCCXXX\n",
      "1731  :  MDCCXXXI\n",
      "1732  :  MDCCXXXII\n",
      "1733  :  MDCCXXXIII\n",
      "1734  :  MDCCXXXIV\n",
      "1735  :  MDCCXXXV\n",
      "1736  :  MDCCXXXVI\n",
      "1737  :  MDCCXXXVII\n",
      "1738  :  MDCCXXXVIII\n",
      "1739  :  MDCCXXXIX\n",
      "1740  :  MDCCXL\n",
      "1741  :  MDCCXLI\n",
      "1742  :  MDCCXLII\n",
      "1743  :  MDCCXLIII\n",
      "1744  :  MDCCXLIV\n",
      "1745  :  MDCCXLV\n",
      "1746  :  MDCCXLVI\n",
      "1747  :  MDCCXLVII\n",
      "1748  :  MDCCXLVIII\n",
      "1749  :  MDCCXLIX\n",
      "1750  :  MDCCL\n",
      "1751  :  MDCCLI\n",
      "1752  :  MDCCLII\n",
      "1753  :  MDCCLIII\n",
      "1754  :  MDCCLIV\n",
      "1755  :  MDCCLV\n",
      "1756  :  MDCCLVI\n",
      "1757  :  MDCCLVII\n",
      "1758  :  MDCCLVIII\n",
      "1759  :  MDCCLIX\n",
      "1760  :  MDCCLX\n",
      "1761  :  MDCCLXI\n",
      "1762  :  MDCCLXII\n",
      "1763  :  MDCCLXIII\n",
      "1764  :  MDCCLXIV\n",
      "1765  :  MDCCLXV\n",
      "1766  :  MDCCLXVI\n",
      "1767  :  MDCCLXVII\n",
      "1768  :  MDCCLXVIII\n",
      "1769  :  MDCCLXIX\n",
      "1770  :  MDCCLXX\n",
      "1771  :  MDCCLXXI\n",
      "1772  :  MDCCLXXII\n",
      "1773  :  MDCCLXXIII\n",
      "1774  :  MDCCLXXIV\n",
      "1775  :  MDCCLXXV\n",
      "1776  :  MDCCLXXVI\n",
      "1777  :  MDCCLXXVII\n",
      "1778  :  MDCCLXXVIII\n",
      "1779  :  MDCCLXXIX\n",
      "1780  :  MDCCLXXX\n",
      "1781  :  MDCCLXXXI\n",
      "1782  :  MDCCLXXXII\n",
      "1783  :  MDCCLXXXIII\n",
      "1784  :  MDCCLXXXIV\n",
      "1785  :  MDCCLXXXV\n",
      "1786  :  MDCCLXXXVI\n",
      "1787  :  MDCCLXXXVII\n",
      "1788  :  MDCCLXXXVIII\n",
      "1789  :  MDCCLXXXIX\n",
      "1790  :  MDCCXC\n",
      "1791  :  MDCCXCI\n",
      "1792  :  MDCCXCII\n",
      "1793  :  MDCCXCIII\n",
      "1794  :  MDCCXCIV\n",
      "1795  :  MDCCXCV\n",
      "1796  :  MDCCXCVI\n",
      "1797  :  MDCCXCVII\n",
      "1798  :  MDCCXCVIII\n",
      "1799  :  MDCCXCIX\n",
      "1800  :  MDCCC\n",
      "1801  :  MDCCCI\n",
      "1802  :  MDCCCII\n",
      "1803  :  MDCCCIII\n",
      "1804  :  MDCCCIV\n",
      "1805  :  MDCCCV\n",
      "1806  :  MDCCCVI\n",
      "1807  :  MDCCCVII\n",
      "1808  :  MDCCCVIII\n",
      "1809  :  MDCCCIX\n",
      "1810  :  MDCCCX\n",
      "1811  :  MDCCCXI\n",
      "1812  :  MDCCCXII\n",
      "1813  :  MDCCCXIII\n",
      "1814  :  MDCCCXIV\n",
      "1815  :  MDCCCXV\n",
      "1816  :  MDCCCXVI\n",
      "1817  :  MDCCCXVII\n",
      "1818  :  MDCCCXVIII\n",
      "1819  :  MDCCCXIX\n",
      "1820  :  MDCCCXX\n",
      "1821  :  MDCCCXXI\n",
      "1822  :  MDCCCXXII\n",
      "1823  :  MDCCCXXIII\n",
      "1824  :  MDCCCXXIV\n",
      "1825  :  MDCCCXXV\n",
      "1826  :  MDCCCXXVI\n",
      "1827  :  MDCCCXXVII\n",
      "1828  :  MDCCCXXVIII\n",
      "1829  :  MDCCCXXIX\n",
      "1830  :  MDCCCXXX\n",
      "1831  :  MDCCCXXXI\n",
      "1832  :  MDCCCXXXII\n",
      "1833  :  MDCCCXXXIII\n",
      "1834  :  MDCCCXXXIV\n",
      "1835  :  MDCCCXXXV\n",
      "1836  :  MDCCCXXXVI\n",
      "1837  :  MDCCCXXXVII\n",
      "1838  :  MDCCCXXXVIII\n",
      "1839  :  MDCCCXXXIX\n",
      "1840  :  MDCCCXL\n",
      "1841  :  MDCCCXLI\n",
      "1842  :  MDCCCXLII\n",
      "1843  :  MDCCCXLIII\n",
      "1844  :  MDCCCXLIV\n",
      "1845  :  MDCCCXLV\n",
      "1846  :  MDCCCXLVI\n",
      "1847  :  MDCCCXLVII\n",
      "1848  :  MDCCCXLVIII\n",
      "1849  :  MDCCCXLIX\n",
      "1850  :  MDCCCL\n",
      "1851  :  MDCCCLI\n",
      "1852  :  MDCCCLII\n",
      "1853  :  MDCCCLIII\n",
      "1854  :  MDCCCLIV\n",
      "1855  :  MDCCCLV\n",
      "1856  :  MDCCCLVI\n",
      "1857  :  MDCCCLVII\n",
      "1858  :  MDCCCLVIII\n",
      "1859  :  MDCCCLIX\n",
      "1860  :  MDCCCLX\n",
      "1861  :  MDCCCLXI\n",
      "1862  :  MDCCCLXII\n",
      "1863  :  MDCCCLXIII\n",
      "1864  :  MDCCCLXIV\n",
      "1865  :  MDCCCLXV\n",
      "1866  :  MDCCCLXVI\n",
      "1867  :  MDCCCLXVII\n",
      "1868  :  MDCCCLXVIII\n",
      "1869  :  MDCCCLXIX\n",
      "1870  :  MDCCCLXX\n",
      "1871  :  MDCCCLXXI\n",
      "1872  :  MDCCCLXXII\n",
      "1873  :  MDCCCLXXIII\n",
      "1874  :  MDCCCLXXIV\n",
      "1875  :  MDCCCLXXV\n",
      "1876  :  MDCCCLXXVI\n",
      "1877  :  MDCCCLXXVII\n",
      "1878  :  MDCCCLXXVIII\n",
      "1879  :  MDCCCLXXIX\n",
      "1880  :  MDCCCLXXX\n",
      "1881  :  MDCCCLXXXI\n",
      "1882  :  MDCCCLXXXII\n",
      "1883  :  MDCCCLXXXIII\n",
      "1884  :  MDCCCLXXXIV\n",
      "1885  :  MDCCCLXXXV\n",
      "1886  :  MDCCCLXXXVI\n",
      "1887  :  MDCCCLXXXVII\n",
      "1888  :  MDCCCLXXXVIII\n",
      "1889  :  MDCCCLXXXIX\n",
      "1890  :  MDCCCXC\n",
      "1891  :  MDCCCXCI\n",
      "1892  :  MDCCCXCII\n",
      "1893  :  MDCCCXCIII\n",
      "1894  :  MDCCCXCIV\n",
      "1895  :  MDCCCXCV\n",
      "1896  :  MDCCCXCVI\n",
      "1897  :  MDCCCXCVII\n",
      "1898  :  MDCCCXCVIII\n",
      "1899  :  MDCCCXCIX\n",
      "1900  :  MCM\n",
      "1901  :  MCMI\n",
      "1902  :  MCMII\n",
      "1903  :  MCMIII\n",
      "1904  :  MCMIV\n",
      "1905  :  MCMV\n",
      "1906  :  MCMVI\n",
      "1907  :  MCMVII\n",
      "1908  :  MCMVIII\n",
      "1909  :  MCMIX\n",
      "1910  :  MCMX\n",
      "1911  :  MCMXI\n",
      "1912  :  MCMXII\n",
      "1913  :  MCMXIII\n",
      "1914  :  MCMXIV\n",
      "1915  :  MCMXV\n",
      "1916  :  MCMXVI\n",
      "1917  :  MCMXVII\n",
      "1918  :  MCMXVIII\n",
      "1919  :  MCMXIX\n",
      "1920  :  MCMXX\n",
      "1921  :  MCMXXI\n",
      "1922  :  MCMXXII\n",
      "1923  :  MCMXXIII\n",
      "1924  :  MCMXXIV\n",
      "1925  :  MCMXXV\n",
      "1926  :  MCMXXVI\n",
      "1927  :  MCMXXVII\n",
      "1928  :  MCMXXVIII\n",
      "1929  :  MCMXXIX\n",
      "1930  :  MCMXXX\n",
      "1931  :  MCMXXXI\n",
      "1932  :  MCMXXXII\n",
      "1933  :  MCMXXXIII\n",
      "1934  :  MCMXXXIV\n",
      "1935  :  MCMXXXV\n",
      "1936  :  MCMXXXVI\n",
      "1937  :  MCMXXXVII\n",
      "1938  :  MCMXXXVIII\n",
      "1939  :  MCMXXXIX\n",
      "1940  :  MCMXL\n",
      "1941  :  MCMXLI\n",
      "1942  :  MCMXLII\n",
      "1943  :  MCMXLIII\n",
      "1944  :  MCMXLIV\n",
      "1945  :  MCMXLV\n",
      "1946  :  MCMXLVI\n",
      "1947  :  MCMXLVII\n",
      "1948  :  MCMXLVIII\n",
      "1949  :  MCMXLIX\n",
      "1950  :  MCML\n",
      "1951  :  MCMLI\n",
      "1952  :  MCMLII\n",
      "1953  :  MCMLIII\n",
      "1954  :  MCMLIV\n",
      "1955  :  MCMLV\n",
      "1956  :  MCMLVI\n",
      "1957  :  MCMLVII\n",
      "1958  :  MCMLVIII\n",
      "1959  :  MCMLIX\n",
      "1960  :  MCMLX\n",
      "1961  :  MCMLXI\n",
      "1962  :  MCMLXII\n",
      "1963  :  MCMLXIII\n",
      "1964  :  MCMLXIV\n",
      "1965  :  MCMLXV\n",
      "1966  :  MCMLXVI\n",
      "1967  :  MCMLXVII\n",
      "1968  :  MCMLXVIII\n",
      "1969  :  MCMLXIX\n",
      "1970  :  MCMLXX\n",
      "1971  :  MCMLXXI\n",
      "1972  :  MCMLXXII\n",
      "1973  :  MCMLXXIII\n",
      "1974  :  MCMLXXIV\n",
      "1975  :  MCMLXXV\n",
      "1976  :  MCMLXXVI\n",
      "1977  :  MCMLXXVII\n",
      "1978  :  MCMLXXVIII\n",
      "1979  :  MCMLXXIX\n",
      "1980  :  MCMLXXX\n",
      "1981  :  MCMLXXXI\n",
      "1982  :  MCMLXXXII\n",
      "1983  :  MCMLXXXIII\n",
      "1984  :  MCMLXXXIV\n",
      "1985  :  MCMLXXXV\n",
      "1986  :  MCMLXXXVI\n",
      "1987  :  MCMLXXXVII\n",
      "1988  :  MCMLXXXVIII\n",
      "1989  :  MCMLXXXIX\n",
      "1990  :  MCMXC\n",
      "1991  :  MCMXCI\n",
      "1992  :  MCMXCII\n",
      "1993  :  MCMXCIII\n",
      "1994  :  MCMXCIV\n",
      "1995  :  MCMXCV\n",
      "1996  :  MCMXCVI\n",
      "1997  :  MCMXCVII\n",
      "1998  :  MCMXCVIII\n",
      "1999  :  MCMXCIX\n",
      "2000  :  MM\n",
      "2001  :  MMI\n",
      "2002  :  MMII\n",
      "2003  :  MMIII\n",
      "2004  :  MMIV\n",
      "2005  :  MMV\n",
      "2006  :  MMVI\n",
      "2007  :  MMVII\n",
      "2008  :  MMVIII\n",
      "2009  :  MMIX\n",
      "2010  :  MMX\n",
      "2011  :  MMXI\n",
      "2012  :  MMXII\n",
      "2013  :  MMXIII\n",
      "2014  :  MMXIV\n",
      "2015  :  MMXV\n",
      "2016  :  MMXVI\n",
      "2017  :  MMXVII\n",
      "2018  :  MMXVIII\n",
      "2019  :  MMXIX\n",
      "2020  :  MMXX\n",
      "2021  :  MMXXI\n",
      "2022  :  MMXXII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2023  :  MMXXIII\n",
      "2024  :  MMXXIV\n",
      "2025  :  MMXXV\n",
      "2026  :  MMXXVI\n",
      "2027  :  MMXXVII\n",
      "2028  :  MMXXVIII\n",
      "2029  :  MMXXIX\n",
      "2030  :  MMXXX\n",
      "2031  :  MMXXXI\n",
      "2032  :  MMXXXII\n",
      "2033  :  MMXXXIII\n",
      "2034  :  MMXXXIV\n",
      "2035  :  MMXXXV\n",
      "2036  :  MMXXXVI\n",
      "2037  :  MMXXXVII\n",
      "2038  :  MMXXXVIII\n",
      "2039  :  MMXXXIX\n",
      "2040  :  MMXL\n",
      "2041  :  MMXLI\n",
      "2042  :  MMXLII\n",
      "2043  :  MMXLIII\n",
      "2044  :  MMXLIV\n",
      "2045  :  MMXLV\n",
      "2046  :  MMXLVI\n",
      "2047  :  MMXLVII\n",
      "2048  :  MMXLVIII\n",
      "2049  :  MMXLIX\n",
      "2050  :  MML\n",
      "2051  :  MMLI\n",
      "2052  :  MMLII\n",
      "2053  :  MMLIII\n",
      "2054  :  MMLIV\n",
      "2055  :  MMLV\n",
      "2056  :  MMLVI\n",
      "2057  :  MMLVII\n",
      "2058  :  MMLVIII\n",
      "2059  :  MMLIX\n",
      "2060  :  MMLX\n",
      "2061  :  MMLXI\n",
      "2062  :  MMLXII\n",
      "2063  :  MMLXIII\n",
      "2064  :  MMLXIV\n",
      "2065  :  MMLXV\n",
      "2066  :  MMLXVI\n",
      "2067  :  MMLXVII\n",
      "2068  :  MMLXVIII\n",
      "2069  :  MMLXIX\n",
      "2070  :  MMLXX\n",
      "2071  :  MMLXXI\n",
      "2072  :  MMLXXII\n",
      "2073  :  MMLXXIII\n",
      "2074  :  MMLXXIV\n",
      "2075  :  MMLXXV\n",
      "2076  :  MMLXXVI\n",
      "2077  :  MMLXXVII\n",
      "2078  :  MMLXXVIII\n",
      "2079  :  MMLXXIX\n",
      "2080  :  MMLXXX\n",
      "2081  :  MMLXXXI\n",
      "2082  :  MMLXXXII\n",
      "2083  :  MMLXXXIII\n",
      "2084  :  MMLXXXIV\n",
      "2085  :  MMLXXXV\n",
      "2086  :  MMLXXXVI\n",
      "2087  :  MMLXXXVII\n",
      "2088  :  MMLXXXVIII\n",
      "2089  :  MMLXXXIX\n",
      "2090  :  MMXC\n",
      "2091  :  MMXCI\n",
      "2092  :  MMXCII\n",
      "2093  :  MMXCIII\n",
      "2094  :  MMXCIV\n",
      "2095  :  MMXCV\n",
      "2096  :  MMXCVI\n",
      "2097  :  MMXCVII\n",
      "2098  :  MMXCVIII\n",
      "2099  :  MMXCIX\n",
      "2100  :  MMC\n",
      "2101  :  MMCI\n",
      "2102  :  MMCII\n",
      "2103  :  MMCIII\n",
      "2104  :  MMCIV\n",
      "2105  :  MMCV\n",
      "2106  :  MMCVI\n",
      "2107  :  MMCVII\n",
      "2108  :  MMCVIII\n",
      "2109  :  MMCIX\n",
      "2110  :  MMCX\n",
      "2111  :  MMCXI\n",
      "2112  :  MMCXII\n",
      "2113  :  MMCXIII\n",
      "2114  :  MMCXIV\n",
      "2115  :  MMCXV\n",
      "2116  :  MMCXVI\n",
      "2117  :  MMCXVII\n",
      "2118  :  MMCXVIII\n",
      "2119  :  MMCXIX\n",
      "2120  :  MMCXX\n",
      "2121  :  MMCXXI\n",
      "2122  :  MMCXXII\n",
      "2123  :  MMCXXIII\n",
      "2124  :  MMCXXIV\n",
      "2125  :  MMCXXV\n",
      "2126  :  MMCXXVI\n",
      "2127  :  MMCXXVII\n",
      "2128  :  MMCXXVIII\n",
      "2129  :  MMCXXIX\n",
      "2130  :  MMCXXX\n",
      "2131  :  MMCXXXI\n",
      "2132  :  MMCXXXII\n",
      "2133  :  MMCXXXIII\n",
      "2134  :  MMCXXXIV\n",
      "2135  :  MMCXXXV\n",
      "2136  :  MMCXXXVI\n",
      "2137  :  MMCXXXVII\n",
      "2138  :  MMCXXXVIII\n",
      "2139  :  MMCXXXIX\n",
      "2140  :  MMCXL\n",
      "2141  :  MMCXLI\n",
      "2142  :  MMCXLII\n",
      "2143  :  MMCXLIII\n",
      "2144  :  MMCXLIV\n",
      "2145  :  MMCXLV\n",
      "2146  :  MMCXLVI\n",
      "2147  :  MMCXLVII\n",
      "2148  :  MMCXLVIII\n",
      "2149  :  MMCXLIX\n",
      "2150  :  MMCL\n",
      "2151  :  MMCLI\n",
      "2152  :  MMCLII\n",
      "2153  :  MMCLIII\n",
      "2154  :  MMCLIV\n",
      "2155  :  MMCLV\n",
      "2156  :  MMCLVI\n",
      "2157  :  MMCLVII\n",
      "2158  :  MMCLVIII\n",
      "2159  :  MMCLIX\n",
      "2160  :  MMCLX\n",
      "2161  :  MMCLXI\n",
      "2162  :  MMCLXII\n",
      "2163  :  MMCLXIII\n",
      "2164  :  MMCLXIV\n",
      "2165  :  MMCLXV\n",
      "2166  :  MMCLXVI\n",
      "2167  :  MMCLXVII\n",
      "2168  :  MMCLXVIII\n",
      "2169  :  MMCLXIX\n",
      "2170  :  MMCLXX\n",
      "2171  :  MMCLXXI\n",
      "2172  :  MMCLXXII\n",
      "2173  :  MMCLXXIII\n",
      "2174  :  MMCLXXIV\n",
      "2175  :  MMCLXXV\n",
      "2176  :  MMCLXXVI\n",
      "2177  :  MMCLXXVII\n",
      "2178  :  MMCLXXVIII\n",
      "2179  :  MMCLXXIX\n",
      "2180  :  MMCLXXX\n",
      "2181  :  MMCLXXXI\n",
      "2182  :  MMCLXXXII\n",
      "2183  :  MMCLXXXIII\n",
      "2184  :  MMCLXXXIV\n",
      "2185  :  MMCLXXXV\n",
      "2186  :  MMCLXXXVI\n",
      "2187  :  MMCLXXXVII\n",
      "2188  :  MMCLXXXVIII\n",
      "2189  :  MMCLXXXIX\n",
      "2190  :  MMCXC\n",
      "2191  :  MMCXCI\n",
      "2192  :  MMCXCII\n",
      "2193  :  MMCXCIII\n",
      "2194  :  MMCXCIV\n",
      "2195  :  MMCXCV\n",
      "2196  :  MMCXCVI\n",
      "2197  :  MMCXCVII\n",
      "2198  :  MMCXCVIII\n",
      "2199  :  MMCXCIX\n",
      "2200  :  MMCC\n",
      "2201  :  MMCCI\n",
      "2202  :  MMCCII\n",
      "2203  :  MMCCIII\n",
      "2204  :  MMCCIV\n",
      "2205  :  MMCCV\n",
      "2206  :  MMCCVI\n",
      "2207  :  MMCCVII\n",
      "2208  :  MMCCVIII\n",
      "2209  :  MMCCIX\n",
      "2210  :  MMCCX\n",
      "2211  :  MMCCXI\n",
      "2212  :  MMCCXII\n",
      "2213  :  MMCCXIII\n",
      "2214  :  MMCCXIV\n",
      "2215  :  MMCCXV\n",
      "2216  :  MMCCXVI\n",
      "2217  :  MMCCXVII\n",
      "2218  :  MMCCXVIII\n",
      "2219  :  MMCCXIX\n",
      "2220  :  MMCCXX\n",
      "2221  :  MMCCXXI\n",
      "2222  :  MMCCXXII\n",
      "2223  :  MMCCXXIII\n",
      "2224  :  MMCCXXIV\n",
      "2225  :  MMCCXXV\n",
      "2226  :  MMCCXXVI\n",
      "2227  :  MMCCXXVII\n",
      "2228  :  MMCCXXVIII\n",
      "2229  :  MMCCXXIX\n",
      "2230  :  MMCCXXX\n",
      "2231  :  MMCCXXXI\n",
      "2232  :  MMCCXXXII\n",
      "2233  :  MMCCXXXIII\n",
      "2234  :  MMCCXXXIV\n",
      "2235  :  MMCCXXXV\n",
      "2236  :  MMCCXXXVI\n",
      "2237  :  MMCCXXXVII\n",
      "2238  :  MMCCXXXVIII\n",
      "2239  :  MMCCXXXIX\n",
      "2240  :  MMCCXL\n",
      "2241  :  MMCCXLI\n",
      "2242  :  MMCCXLII\n",
      "2243  :  MMCCXLIII\n",
      "2244  :  MMCCXLIV\n",
      "2245  :  MMCCXLV\n",
      "2246  :  MMCCXLVI\n",
      "2247  :  MMCCXLVII\n",
      "2248  :  MMCCXLVIII\n",
      "2249  :  MMCCXLIX\n",
      "2250  :  MMCCL\n",
      "2251  :  MMCCLI\n",
      "2252  :  MMCCLII\n",
      "2253  :  MMCCLIII\n",
      "2254  :  MMCCLIV\n",
      "2255  :  MMCCLV\n",
      "2256  :  MMCCLVI\n",
      "2257  :  MMCCLVII\n",
      "2258  :  MMCCLVIII\n",
      "2259  :  MMCCLIX\n",
      "2260  :  MMCCLX\n",
      "2261  :  MMCCLXI\n",
      "2262  :  MMCCLXII\n",
      "2263  :  MMCCLXIII\n",
      "2264  :  MMCCLXIV\n",
      "2265  :  MMCCLXV\n",
      "2266  :  MMCCLXVI\n",
      "2267  :  MMCCLXVII\n",
      "2268  :  MMCCLXVIII\n",
      "2269  :  MMCCLXIX\n",
      "2270  :  MMCCLXX\n",
      "2271  :  MMCCLXXI\n",
      "2272  :  MMCCLXXII\n",
      "2273  :  MMCCLXXIII\n",
      "2274  :  MMCCLXXIV\n",
      "2275  :  MMCCLXXV\n",
      "2276  :  MMCCLXXVI\n",
      "2277  :  MMCCLXXVII\n",
      "2278  :  MMCCLXXVIII\n",
      "2279  :  MMCCLXXIX\n",
      "2280  :  MMCCLXXX\n",
      "2281  :  MMCCLXXXI\n",
      "2282  :  MMCCLXXXII\n",
      "2283  :  MMCCLXXXIII\n",
      "2284  :  MMCCLXXXIV\n",
      "2285  :  MMCCLXXXV\n",
      "2286  :  MMCCLXXXVI\n",
      "2287  :  MMCCLXXXVII\n",
      "2288  :  MMCCLXXXVIII\n",
      "2289  :  MMCCLXXXIX\n",
      "2290  :  MMCCXC\n",
      "2291  :  MMCCXCI\n",
      "2292  :  MMCCXCII\n",
      "2293  :  MMCCXCIII\n",
      "2294  :  MMCCXCIV\n",
      "2295  :  MMCCXCV\n",
      "2296  :  MMCCXCVI\n",
      "2297  :  MMCCXCVII\n",
      "2298  :  MMCCXCVIII\n",
      "2299  :  MMCCXCIX\n",
      "2300  :  MMCCC\n",
      "2301  :  MMCCCI\n",
      "2302  :  MMCCCII\n",
      "2303  :  MMCCCIII\n",
      "2304  :  MMCCCIV\n",
      "2305  :  MMCCCV\n",
      "2306  :  MMCCCVI\n",
      "2307  :  MMCCCVII\n",
      "2308  :  MMCCCVIII\n",
      "2309  :  MMCCCIX\n",
      "2310  :  MMCCCX\n",
      "2311  :  MMCCCXI\n",
      "2312  :  MMCCCXII\n",
      "2313  :  MMCCCXIII\n",
      "2314  :  MMCCCXIV\n",
      "2315  :  MMCCCXV\n",
      "2316  :  MMCCCXVI\n",
      "2317  :  MMCCCXVII\n",
      "2318  :  MMCCCXVIII\n",
      "2319  :  MMCCCXIX\n",
      "2320  :  MMCCCXX\n",
      "2321  :  MMCCCXXI\n",
      "2322  :  MMCCCXXII\n",
      "2323  :  MMCCCXXIII\n",
      "2324  :  MMCCCXXIV\n",
      "2325  :  MMCCCXXV\n",
      "2326  :  MMCCCXXVI\n",
      "2327  :  MMCCCXXVII\n",
      "2328  :  MMCCCXXVIII\n",
      "2329  :  MMCCCXXIX\n",
      "2330  :  MMCCCXXX\n",
      "2331  :  MMCCCXXXI\n",
      "2332  :  MMCCCXXXII\n",
      "2333  :  MMCCCXXXIII\n",
      "2334  :  MMCCCXXXIV\n",
      "2335  :  MMCCCXXXV\n",
      "2336  :  MMCCCXXXVI\n",
      "2337  :  MMCCCXXXVII\n",
      "2338  :  MMCCCXXXVIII\n",
      "2339  :  MMCCCXXXIX\n",
      "2340  :  MMCCCXL\n",
      "2341  :  MMCCCXLI\n",
      "2342  :  MMCCCXLII\n",
      "2343  :  MMCCCXLIII\n",
      "2344  :  MMCCCXLIV\n",
      "2345  :  MMCCCXLV\n",
      "2346  :  MMCCCXLVI\n",
      "2347  :  MMCCCXLVII\n",
      "2348  :  MMCCCXLVIII\n",
      "2349  :  MMCCCXLIX\n",
      "2350  :  MMCCCL\n",
      "2351  :  MMCCCLI\n",
      "2352  :  MMCCCLII\n",
      "2353  :  MMCCCLIII\n",
      "2354  :  MMCCCLIV\n",
      "2355  :  MMCCCLV\n",
      "2356  :  MMCCCLVI\n",
      "2357  :  MMCCCLVII\n",
      "2358  :  MMCCCLVIII\n",
      "2359  :  MMCCCLIX\n",
      "2360  :  MMCCCLX\n",
      "2361  :  MMCCCLXI\n",
      "2362  :  MMCCCLXII\n",
      "2363  :  MMCCCLXIII\n",
      "2364  :  MMCCCLXIV\n",
      "2365  :  MMCCCLXV\n",
      "2366  :  MMCCCLXVI\n",
      "2367  :  MMCCCLXVII\n",
      "2368  :  MMCCCLXVIII\n",
      "2369  :  MMCCCLXIX\n",
      "2370  :  MMCCCLXX\n",
      "2371  :  MMCCCLXXI\n",
      "2372  :  MMCCCLXXII\n",
      "2373  :  MMCCCLXXIII\n",
      "2374  :  MMCCCLXXIV\n",
      "2375  :  MMCCCLXXV\n",
      "2376  :  MMCCCLXXVI\n",
      "2377  :  MMCCCLXXVII\n",
      "2378  :  MMCCCLXXVIII\n",
      "2379  :  MMCCCLXXIX\n",
      "2380  :  MMCCCLXXX\n",
      "2381  :  MMCCCLXXXI\n",
      "2382  :  MMCCCLXXXII\n",
      "2383  :  MMCCCLXXXIII\n",
      "2384  :  MMCCCLXXXIV\n",
      "2385  :  MMCCCLXXXV\n",
      "2386  :  MMCCCLXXXVI\n",
      "2387  :  MMCCCLXXXVII\n",
      "2388  :  MMCCCLXXXVIII\n",
      "2389  :  MMCCCLXXXIX\n",
      "2390  :  MMCCCXC\n",
      "2391  :  MMCCCXCI\n",
      "2392  :  MMCCCXCII\n",
      "2393  :  MMCCCXCIII\n",
      "2394  :  MMCCCXCIV\n",
      "2395  :  MMCCCXCV\n",
      "2396  :  MMCCCXCVI\n",
      "2397  :  MMCCCXCVII\n",
      "2398  :  MMCCCXCVIII\n",
      "2399  :  MMCCCXCIX\n",
      "2400  :  MMCD\n",
      "2401  :  MMCDI\n",
      "2402  :  MMCDII\n",
      "2403  :  MMCDIII\n",
      "2404  :  MMCDIV\n",
      "2405  :  MMCDV\n",
      "2406  :  MMCDVI\n",
      "2407  :  MMCDVII\n",
      "2408  :  MMCDVIII\n",
      "2409  :  MMCDIX\n",
      "2410  :  MMCDX\n",
      "2411  :  MMCDXI\n",
      "2412  :  MMCDXII\n",
      "2413  :  MMCDXIII\n",
      "2414  :  MMCDXIV\n",
      "2415  :  MMCDXV\n",
      "2416  :  MMCDXVI\n",
      "2417  :  MMCDXVII\n",
      "2418  :  MMCDXVIII\n",
      "2419  :  MMCDXIX\n",
      "2420  :  MMCDXX\n",
      "2421  :  MMCDXXI\n",
      "2422  :  MMCDXXII\n",
      "2423  :  MMCDXXIII\n",
      "2424  :  MMCDXXIV\n",
      "2425  :  MMCDXXV\n",
      "2426  :  MMCDXXVI\n",
      "2427  :  MMCDXXVII\n",
      "2428  :  MMCDXXVIII\n",
      "2429  :  MMCDXXIX\n",
      "2430  :  MMCDXXX\n",
      "2431  :  MMCDXXXI\n",
      "2432  :  MMCDXXXII\n",
      "2433  :  MMCDXXXIII\n",
      "2434  :  MMCDXXXIV\n",
      "2435  :  MMCDXXXV\n",
      "2436  :  MMCDXXXVI\n",
      "2437  :  MMCDXXXVII\n",
      "2438  :  MMCDXXXVIII\n",
      "2439  :  MMCDXXXIX\n",
      "2440  :  MMCDXL\n",
      "2441  :  MMCDXLI\n",
      "2442  :  MMCDXLII\n",
      "2443  :  MMCDXLIII\n",
      "2444  :  MMCDXLIV\n",
      "2445  :  MMCDXLV\n",
      "2446  :  MMCDXLVI\n",
      "2447  :  MMCDXLVII\n",
      "2448  :  MMCDXLVIII\n",
      "2449  :  MMCDXLIX\n",
      "2450  :  MMCDL\n",
      "2451  :  MMCDLI\n",
      "2452  :  MMCDLII\n",
      "2453  :  MMCDLIII\n",
      "2454  :  MMCDLIV\n",
      "2455  :  MMCDLV\n",
      "2456  :  MMCDLVI\n",
      "2457  :  MMCDLVII\n",
      "2458  :  MMCDLVIII\n",
      "2459  :  MMCDLIX\n",
      "2460  :  MMCDLX\n",
      "2461  :  MMCDLXI\n",
      "2462  :  MMCDLXII\n",
      "2463  :  MMCDLXIII\n",
      "2464  :  MMCDLXIV\n",
      "2465  :  MMCDLXV\n",
      "2466  :  MMCDLXVI\n",
      "2467  :  MMCDLXVII\n",
      "2468  :  MMCDLXVIII\n",
      "2469  :  MMCDLXIX\n",
      "2470  :  MMCDLXX\n",
      "2471  :  MMCDLXXI\n",
      "2472  :  MMCDLXXII\n",
      "2473  :  MMCDLXXIII\n",
      "2474  :  MMCDLXXIV\n",
      "2475  :  MMCDLXXV\n",
      "2476  :  MMCDLXXVI\n",
      "2477  :  MMCDLXXVII\n",
      "2478  :  MMCDLXXVIII\n",
      "2479  :  MMCDLXXIX\n",
      "2480  :  MMCDLXXX\n",
      "2481  :  MMCDLXXXI\n",
      "2482  :  MMCDLXXXII\n",
      "2483  :  MMCDLXXXIII\n",
      "2484  :  MMCDLXXXIV\n",
      "2485  :  MMCDLXXXV\n",
      "2486  :  MMCDLXXXVI\n",
      "2487  :  MMCDLXXXVII\n",
      "2488  :  MMCDLXXXVIII\n",
      "2489  :  MMCDLXXXIX\n",
      "2490  :  MMCDXC\n",
      "2491  :  MMCDXCI\n",
      "2492  :  MMCDXCII\n",
      "2493  :  MMCDXCIII\n",
      "2494  :  MMCDXCIV\n",
      "2495  :  MMCDXCV\n",
      "2496  :  MMCDXCVI\n",
      "2497  :  MMCDXCVII\n",
      "2498  :  MMCDXCVIII\n",
      "2499  :  MMCDXCIX\n",
      "2500  :  MMD\n",
      "2501  :  MMDI\n",
      "2502  :  MMDII\n",
      "2503  :  MMDIII\n",
      "2504  :  MMDIV\n",
      "2505  :  MMDV\n",
      "2506  :  MMDVI\n",
      "2507  :  MMDVII\n",
      "2508  :  MMDVIII\n",
      "2509  :  MMDIX\n",
      "2510  :  MMDX\n",
      "2511  :  MMDXI\n",
      "2512  :  MMDXII\n",
      "2513  :  MMDXIII\n",
      "2514  :  MMDXIV\n",
      "2515  :  MMDXV\n",
      "2516  :  MMDXVI\n",
      "2517  :  MMDXVII\n",
      "2518  :  MMDXVIII\n",
      "2519  :  MMDXIX\n",
      "2520  :  MMDXX\n",
      "2521  :  MMDXXI\n",
      "2522  :  MMDXXII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2523  :  MMDXXIII\n",
      "2524  :  MMDXXIV\n",
      "2525  :  MMDXXV\n",
      "2526  :  MMDXXVI\n",
      "2527  :  MMDXXVII\n",
      "2528  :  MMDXXVIII\n",
      "2529  :  MMDXXIX\n",
      "2530  :  MMDXXX\n",
      "2531  :  MMDXXXI\n",
      "2532  :  MMDXXXII\n",
      "2533  :  MMDXXXIII\n",
      "2534  :  MMDXXXIV\n",
      "2535  :  MMDXXXV\n",
      "2536  :  MMDXXXVI\n",
      "2537  :  MMDXXXVII\n",
      "2538  :  MMDXXXVIII\n",
      "2539  :  MMDXXXIX\n",
      "2540  :  MMDXL\n",
      "2541  :  MMDXLI\n",
      "2542  :  MMDXLII\n",
      "2543  :  MMDXLIII\n",
      "2544  :  MMDXLIV\n",
      "2545  :  MMDXLV\n",
      "2546  :  MMDXLVI\n",
      "2547  :  MMDXLVII\n",
      "2548  :  MMDXLVIII\n",
      "2549  :  MMDXLIX\n",
      "2550  :  MMDL\n",
      "2551  :  MMDLI\n",
      "2552  :  MMDLII\n",
      "2553  :  MMDLIII\n",
      "2554  :  MMDLIV\n",
      "2555  :  MMDLV\n",
      "2556  :  MMDLVI\n",
      "2557  :  MMDLVII\n",
      "2558  :  MMDLVIII\n",
      "2559  :  MMDLIX\n",
      "2560  :  MMDLX\n",
      "2561  :  MMDLXI\n",
      "2562  :  MMDLXII\n",
      "2563  :  MMDLXIII\n",
      "2564  :  MMDLXIV\n",
      "2565  :  MMDLXV\n",
      "2566  :  MMDLXVI\n",
      "2567  :  MMDLXVII\n",
      "2568  :  MMDLXVIII\n",
      "2569  :  MMDLXIX\n",
      "2570  :  MMDLXX\n",
      "2571  :  MMDLXXI\n",
      "2572  :  MMDLXXII\n",
      "2573  :  MMDLXXIII\n",
      "2574  :  MMDLXXIV\n",
      "2575  :  MMDLXXV\n",
      "2576  :  MMDLXXVI\n",
      "2577  :  MMDLXXVII\n",
      "2578  :  MMDLXXVIII\n",
      "2579  :  MMDLXXIX\n",
      "2580  :  MMDLXXX\n",
      "2581  :  MMDLXXXI\n",
      "2582  :  MMDLXXXII\n",
      "2583  :  MMDLXXXIII\n",
      "2584  :  MMDLXXXIV\n",
      "2585  :  MMDLXXXV\n",
      "2586  :  MMDLXXXVI\n",
      "2587  :  MMDLXXXVII\n",
      "2588  :  MMDLXXXVIII\n",
      "2589  :  MMDLXXXIX\n",
      "2590  :  MMDXC\n",
      "2591  :  MMDXCI\n",
      "2592  :  MMDXCII\n",
      "2593  :  MMDXCIII\n",
      "2594  :  MMDXCIV\n",
      "2595  :  MMDXCV\n",
      "2596  :  MMDXCVI\n",
      "2597  :  MMDXCVII\n",
      "2598  :  MMDXCVIII\n",
      "2599  :  MMDXCIX\n",
      "2600  :  MMDC\n",
      "2601  :  MMDCI\n",
      "2602  :  MMDCII\n",
      "2603  :  MMDCIII\n",
      "2604  :  MMDCIV\n",
      "2605  :  MMDCV\n",
      "2606  :  MMDCVI\n",
      "2607  :  MMDCVII\n",
      "2608  :  MMDCVIII\n",
      "2609  :  MMDCIX\n",
      "2610  :  MMDCX\n",
      "2611  :  MMDCXI\n",
      "2612  :  MMDCXII\n",
      "2613  :  MMDCXIII\n",
      "2614  :  MMDCXIV\n",
      "2615  :  MMDCXV\n",
      "2616  :  MMDCXVI\n",
      "2617  :  MMDCXVII\n",
      "2618  :  MMDCXVIII\n",
      "2619  :  MMDCXIX\n",
      "2620  :  MMDCXX\n",
      "2621  :  MMDCXXI\n",
      "2622  :  MMDCXXII\n",
      "2623  :  MMDCXXIII\n",
      "2624  :  MMDCXXIV\n",
      "2625  :  MMDCXXV\n",
      "2626  :  MMDCXXVI\n",
      "2627  :  MMDCXXVII\n",
      "2628  :  MMDCXXVIII\n",
      "2629  :  MMDCXXIX\n",
      "2630  :  MMDCXXX\n",
      "2631  :  MMDCXXXI\n",
      "2632  :  MMDCXXXII\n",
      "2633  :  MMDCXXXIII\n",
      "2634  :  MMDCXXXIV\n",
      "2635  :  MMDCXXXV\n",
      "2636  :  MMDCXXXVI\n",
      "2637  :  MMDCXXXVII\n",
      "2638  :  MMDCXXXVIII\n",
      "2639  :  MMDCXXXIX\n",
      "2640  :  MMDCXL\n",
      "2641  :  MMDCXLI\n",
      "2642  :  MMDCXLII\n",
      "2643  :  MMDCXLIII\n",
      "2644  :  MMDCXLIV\n",
      "2645  :  MMDCXLV\n",
      "2646  :  MMDCXLVI\n",
      "2647  :  MMDCXLVII\n",
      "2648  :  MMDCXLVIII\n",
      "2649  :  MMDCXLIX\n",
      "2650  :  MMDCL\n",
      "2651  :  MMDCLI\n",
      "2652  :  MMDCLII\n",
      "2653  :  MMDCLIII\n",
      "2654  :  MMDCLIV\n",
      "2655  :  MMDCLV\n",
      "2656  :  MMDCLVI\n",
      "2657  :  MMDCLVII\n",
      "2658  :  MMDCLVIII\n",
      "2659  :  MMDCLIX\n",
      "2660  :  MMDCLX\n",
      "2661  :  MMDCLXI\n",
      "2662  :  MMDCLXII\n",
      "2663  :  MMDCLXIII\n",
      "2664  :  MMDCLXIV\n",
      "2665  :  MMDCLXV\n",
      "2666  :  MMDCLXVI\n",
      "2667  :  MMDCLXVII\n",
      "2668  :  MMDCLXVIII\n",
      "2669  :  MMDCLXIX\n",
      "2670  :  MMDCLXX\n",
      "2671  :  MMDCLXXI\n",
      "2672  :  MMDCLXXII\n",
      "2673  :  MMDCLXXIII\n",
      "2674  :  MMDCLXXIV\n",
      "2675  :  MMDCLXXV\n",
      "2676  :  MMDCLXXVI\n",
      "2677  :  MMDCLXXVII\n",
      "2678  :  MMDCLXXVIII\n",
      "2679  :  MMDCLXXIX\n",
      "2680  :  MMDCLXXX\n",
      "2681  :  MMDCLXXXI\n",
      "2682  :  MMDCLXXXII\n",
      "2683  :  MMDCLXXXIII\n",
      "2684  :  MMDCLXXXIV\n",
      "2685  :  MMDCLXXXV\n",
      "2686  :  MMDCLXXXVI\n",
      "2687  :  MMDCLXXXVII\n",
      "2688  :  MMDCLXXXVIII\n",
      "2689  :  MMDCLXXXIX\n",
      "2690  :  MMDCXC\n",
      "2691  :  MMDCXCI\n",
      "2692  :  MMDCXCII\n",
      "2693  :  MMDCXCIII\n",
      "2694  :  MMDCXCIV\n",
      "2695  :  MMDCXCV\n",
      "2696  :  MMDCXCVI\n",
      "2697  :  MMDCXCVII\n",
      "2698  :  MMDCXCVIII\n",
      "2699  :  MMDCXCIX\n",
      "2700  :  MMDCC\n",
      "2701  :  MMDCCI\n",
      "2702  :  MMDCCII\n",
      "2703  :  MMDCCIII\n",
      "2704  :  MMDCCIV\n",
      "2705  :  MMDCCV\n",
      "2706  :  MMDCCVI\n",
      "2707  :  MMDCCVII\n",
      "2708  :  MMDCCVIII\n",
      "2709  :  MMDCCIX\n",
      "2710  :  MMDCCX\n",
      "2711  :  MMDCCXI\n",
      "2712  :  MMDCCXII\n",
      "2713  :  MMDCCXIII\n",
      "2714  :  MMDCCXIV\n",
      "2715  :  MMDCCXV\n",
      "2716  :  MMDCCXVI\n",
      "2717  :  MMDCCXVII\n",
      "2718  :  MMDCCXVIII\n",
      "2719  :  MMDCCXIX\n",
      "2720  :  MMDCCXX\n",
      "2721  :  MMDCCXXI\n",
      "2722  :  MMDCCXXII\n",
      "2723  :  MMDCCXXIII\n",
      "2724  :  MMDCCXXIV\n",
      "2725  :  MMDCCXXV\n",
      "2726  :  MMDCCXXVI\n",
      "2727  :  MMDCCXXVII\n",
      "2728  :  MMDCCXXVIII\n",
      "2729  :  MMDCCXXIX\n",
      "2730  :  MMDCCXXX\n",
      "2731  :  MMDCCXXXI\n",
      "2732  :  MMDCCXXXII\n",
      "2733  :  MMDCCXXXIII\n",
      "2734  :  MMDCCXXXIV\n",
      "2735  :  MMDCCXXXV\n",
      "2736  :  MMDCCXXXVI\n",
      "2737  :  MMDCCXXXVII\n",
      "2738  :  MMDCCXXXVIII\n",
      "2739  :  MMDCCXXXIX\n",
      "2740  :  MMDCCXL\n",
      "2741  :  MMDCCXLI\n",
      "2742  :  MMDCCXLII\n",
      "2743  :  MMDCCXLIII\n",
      "2744  :  MMDCCXLIV\n",
      "2745  :  MMDCCXLV\n",
      "2746  :  MMDCCXLVI\n",
      "2747  :  MMDCCXLVII\n",
      "2748  :  MMDCCXLVIII\n",
      "2749  :  MMDCCXLIX\n",
      "2750  :  MMDCCL\n",
      "2751  :  MMDCCLI\n",
      "2752  :  MMDCCLII\n",
      "2753  :  MMDCCLIII\n",
      "2754  :  MMDCCLIV\n",
      "2755  :  MMDCCLV\n",
      "2756  :  MMDCCLVI\n",
      "2757  :  MMDCCLVII\n",
      "2758  :  MMDCCLVIII\n",
      "2759  :  MMDCCLIX\n",
      "2760  :  MMDCCLX\n",
      "2761  :  MMDCCLXI\n",
      "2762  :  MMDCCLXII\n",
      "2763  :  MMDCCLXIII\n",
      "2764  :  MMDCCLXIV\n",
      "2765  :  MMDCCLXV\n",
      "2766  :  MMDCCLXVI\n",
      "2767  :  MMDCCLXVII\n",
      "2768  :  MMDCCLXVIII\n",
      "2769  :  MMDCCLXIX\n",
      "2770  :  MMDCCLXX\n",
      "2771  :  MMDCCLXXI\n",
      "2772  :  MMDCCLXXII\n",
      "2773  :  MMDCCLXXIII\n",
      "2774  :  MMDCCLXXIV\n",
      "2775  :  MMDCCLXXV\n",
      "2776  :  MMDCCLXXVI\n",
      "2777  :  MMDCCLXXVII\n",
      "2778  :  MMDCCLXXVIII\n",
      "2779  :  MMDCCLXXIX\n",
      "2780  :  MMDCCLXXX\n",
      "2781  :  MMDCCLXXXI\n",
      "2782  :  MMDCCLXXXII\n",
      "2783  :  MMDCCLXXXIII\n",
      "2784  :  MMDCCLXXXIV\n",
      "2785  :  MMDCCLXXXV\n",
      "2786  :  MMDCCLXXXVI\n",
      "2787  :  MMDCCLXXXVII\n",
      "2788  :  MMDCCLXXXVIII\n",
      "2789  :  MMDCCLXXXIX\n",
      "2790  :  MMDCCXC\n",
      "2791  :  MMDCCXCI\n",
      "2792  :  MMDCCXCII\n",
      "2793  :  MMDCCXCIII\n",
      "2794  :  MMDCCXCIV\n",
      "2795  :  MMDCCXCV\n",
      "2796  :  MMDCCXCVI\n",
      "2797  :  MMDCCXCVII\n",
      "2798  :  MMDCCXCVIII\n",
      "2799  :  MMDCCXCIX\n",
      "2800  :  MMDCCC\n",
      "2801  :  MMDCCCI\n",
      "2802  :  MMDCCCII\n",
      "2803  :  MMDCCCIII\n",
      "2804  :  MMDCCCIV\n",
      "2805  :  MMDCCCV\n",
      "2806  :  MMDCCCVI\n",
      "2807  :  MMDCCCVII\n",
      "2808  :  MMDCCCVIII\n",
      "2809  :  MMDCCCIX\n",
      "2810  :  MMDCCCX\n",
      "2811  :  MMDCCCXI\n",
      "2812  :  MMDCCCXII\n",
      "2813  :  MMDCCCXIII\n",
      "2814  :  MMDCCCXIV\n",
      "2815  :  MMDCCCXV\n",
      "2816  :  MMDCCCXVI\n",
      "2817  :  MMDCCCXVII\n",
      "2818  :  MMDCCCXVIII\n",
      "2819  :  MMDCCCXIX\n",
      "2820  :  MMDCCCXX\n",
      "2821  :  MMDCCCXXI\n",
      "2822  :  MMDCCCXXII\n",
      "2823  :  MMDCCCXXIII\n",
      "2824  :  MMDCCCXXIV\n",
      "2825  :  MMDCCCXXV\n",
      "2826  :  MMDCCCXXVI\n",
      "2827  :  MMDCCCXXVII\n",
      "2828  :  MMDCCCXXVIII\n",
      "2829  :  MMDCCCXXIX\n",
      "2830  :  MMDCCCXXX\n",
      "2831  :  MMDCCCXXXI\n",
      "2832  :  MMDCCCXXXII\n",
      "2833  :  MMDCCCXXXIII\n",
      "2834  :  MMDCCCXXXIV\n",
      "2835  :  MMDCCCXXXV\n",
      "2836  :  MMDCCCXXXVI\n",
      "2837  :  MMDCCCXXXVII\n",
      "2838  :  MMDCCCXXXVIII\n",
      "2839  :  MMDCCCXXXIX\n",
      "2840  :  MMDCCCXL\n",
      "2841  :  MMDCCCXLI\n",
      "2842  :  MMDCCCXLII\n",
      "2843  :  MMDCCCXLIII\n",
      "2844  :  MMDCCCXLIV\n",
      "2845  :  MMDCCCXLV\n",
      "2846  :  MMDCCCXLVI\n",
      "2847  :  MMDCCCXLVII\n",
      "2848  :  MMDCCCXLVIII\n",
      "2849  :  MMDCCCXLIX\n",
      "2850  :  MMDCCCL\n",
      "2851  :  MMDCCCLI\n",
      "2852  :  MMDCCCLII\n",
      "2853  :  MMDCCCLIII\n",
      "2854  :  MMDCCCLIV\n",
      "2855  :  MMDCCCLV\n",
      "2856  :  MMDCCCLVI\n",
      "2857  :  MMDCCCLVII\n",
      "2858  :  MMDCCCLVIII\n",
      "2859  :  MMDCCCLIX\n",
      "2860  :  MMDCCCLX\n",
      "2861  :  MMDCCCLXI\n",
      "2862  :  MMDCCCLXII\n",
      "2863  :  MMDCCCLXIII\n",
      "2864  :  MMDCCCLXIV\n",
      "2865  :  MMDCCCLXV\n",
      "2866  :  MMDCCCLXVI\n",
      "2867  :  MMDCCCLXVII\n",
      "2868  :  MMDCCCLXVIII\n",
      "2869  :  MMDCCCLXIX\n",
      "2870  :  MMDCCCLXX\n",
      "2871  :  MMDCCCLXXI\n",
      "2872  :  MMDCCCLXXII\n",
      "2873  :  MMDCCCLXXIII\n",
      "2874  :  MMDCCCLXXIV\n",
      "2875  :  MMDCCCLXXV\n",
      "2876  :  MMDCCCLXXVI\n",
      "2877  :  MMDCCCLXXVII\n",
      "2878  :  MMDCCCLXXVIII\n",
      "2879  :  MMDCCCLXXIX\n",
      "2880  :  MMDCCCLXXX\n",
      "2881  :  MMDCCCLXXXI\n",
      "2882  :  MMDCCCLXXXII\n",
      "2883  :  MMDCCCLXXXIII\n",
      "2884  :  MMDCCCLXXXIV\n",
      "2885  :  MMDCCCLXXXV\n",
      "2886  :  MMDCCCLXXXVI\n",
      "2887  :  MMDCCCLXXXVII\n",
      "2888  :  MMDCCCLXXXVIII\n",
      "2889  :  MMDCCCLXXXIX\n",
      "2890  :  MMDCCCXC\n",
      "2891  :  MMDCCCXCI\n",
      "2892  :  MMDCCCXCII\n",
      "2893  :  MMDCCCXCIII\n",
      "2894  :  MMDCCCXCIV\n",
      "2895  :  MMDCCCXCV\n",
      "2896  :  MMDCCCXCVI\n",
      "2897  :  MMDCCCXCVII\n",
      "2898  :  MMDCCCXCVIII\n",
      "2899  :  MMDCCCXCIX\n",
      "2900  :  MMCM\n",
      "2901  :  MMCMI\n",
      "2902  :  MMCMII\n",
      "2903  :  MMCMIII\n",
      "2904  :  MMCMIV\n",
      "2905  :  MMCMV\n",
      "2906  :  MMCMVI\n",
      "2907  :  MMCMVII\n",
      "2908  :  MMCMVIII\n",
      "2909  :  MMCMIX\n",
      "2910  :  MMCMX\n",
      "2911  :  MMCMXI\n",
      "2912  :  MMCMXII\n",
      "2913  :  MMCMXIII\n",
      "2914  :  MMCMXIV\n",
      "2915  :  MMCMXV\n",
      "2916  :  MMCMXVI\n",
      "2917  :  MMCMXVII\n",
      "2918  :  MMCMXVIII\n",
      "2919  :  MMCMXIX\n",
      "2920  :  MMCMXX\n",
      "2921  :  MMCMXXI\n",
      "2922  :  MMCMXXII\n",
      "2923  :  MMCMXXIII\n",
      "2924  :  MMCMXXIV\n",
      "2925  :  MMCMXXV\n",
      "2926  :  MMCMXXVI\n",
      "2927  :  MMCMXXVII\n",
      "2928  :  MMCMXXVIII\n",
      "2929  :  MMCMXXIX\n",
      "2930  :  MMCMXXX\n",
      "2931  :  MMCMXXXI\n",
      "2932  :  MMCMXXXII\n",
      "2933  :  MMCMXXXIII\n",
      "2934  :  MMCMXXXIV\n",
      "2935  :  MMCMXXXV\n",
      "2936  :  MMCMXXXVI\n",
      "2937  :  MMCMXXXVII\n",
      "2938  :  MMCMXXXVIII\n",
      "2939  :  MMCMXXXIX\n",
      "2940  :  MMCMXL\n",
      "2941  :  MMCMXLI\n",
      "2942  :  MMCMXLII\n",
      "2943  :  MMCMXLIII\n",
      "2944  :  MMCMXLIV\n",
      "2945  :  MMCMXLV\n",
      "2946  :  MMCMXLVI\n",
      "2947  :  MMCMXLVII\n",
      "2948  :  MMCMXLVIII\n",
      "2949  :  MMCMXLIX\n",
      "2950  :  MMCML\n",
      "2951  :  MMCMLI\n",
      "2952  :  MMCMLII\n",
      "2953  :  MMCMLIII\n",
      "2954  :  MMCMLIV\n",
      "2955  :  MMCMLV\n",
      "2956  :  MMCMLVI\n",
      "2957  :  MMCMLVII\n",
      "2958  :  MMCMLVIII\n",
      "2959  :  MMCMLIX\n",
      "2960  :  MMCMLX\n",
      "2961  :  MMCMLXI\n",
      "2962  :  MMCMLXII\n",
      "2963  :  MMCMLXIII\n",
      "2964  :  MMCMLXIV\n",
      "2965  :  MMCMLXV\n",
      "2966  :  MMCMLXVI\n",
      "2967  :  MMCMLXVII\n",
      "2968  :  MMCMLXVIII\n",
      "2969  :  MMCMLXIX\n",
      "2970  :  MMCMLXX\n",
      "2971  :  MMCMLXXI\n",
      "2972  :  MMCMLXXII\n",
      "2973  :  MMCMLXXIII\n",
      "2974  :  MMCMLXXIV\n",
      "2975  :  MMCMLXXV\n",
      "2976  :  MMCMLXXVI\n",
      "2977  :  MMCMLXXVII\n",
      "2978  :  MMCMLXXVIII\n",
      "2979  :  MMCMLXXIX\n",
      "2980  :  MMCMLXXX\n",
      "2981  :  MMCMLXXXI\n",
      "2982  :  MMCMLXXXII\n",
      "2983  :  MMCMLXXXIII\n",
      "2984  :  MMCMLXXXIV\n",
      "2985  :  MMCMLXXXV\n",
      "2986  :  MMCMLXXXVI\n",
      "2987  :  MMCMLXXXVII\n",
      "2988  :  MMCMLXXXVIII\n",
      "2989  :  MMCMLXXXIX\n",
      "2990  :  MMCMXC\n",
      "2991  :  MMCMXCI\n",
      "2992  :  MMCMXCII\n",
      "2993  :  MMCMXCIII\n",
      "2994  :  MMCMXCIV\n",
      "2995  :  MMCMXCV\n",
      "2996  :  MMCMXCVI\n",
      "2997  :  MMCMXCVII\n",
      "2998  :  MMCMXCVIII\n",
      "2999  :  MMCMXCIX\n",
      "3000  :  MMM\n",
      "3001  :  MMMI\n",
      "3002  :  MMMII\n",
      "3003  :  MMMIII\n",
      "3004  :  MMMIV\n",
      "3005  :  MMMV\n",
      "3006  :  MMMVI\n",
      "3007  :  MMMVII\n",
      "3008  :  MMMVIII\n",
      "3009  :  MMMIX\n",
      "3010  :  MMMX\n",
      "3011  :  MMMXI\n",
      "3012  :  MMMXII\n",
      "3013  :  MMMXIII\n",
      "3014  :  MMMXIV\n",
      "3015  :  MMMXV\n",
      "3016  :  MMMXVI\n",
      "3017  :  MMMXVII\n",
      "3018  :  MMMXVIII\n",
      "3019  :  MMMXIX\n",
      "3020  :  MMMXX\n",
      "3021  :  MMMXXI\n",
      "3022  :  MMMXXII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3023  :  MMMXXIII\n",
      "3024  :  MMMXXIV\n",
      "3025  :  MMMXXV\n",
      "3026  :  MMMXXVI\n",
      "3027  :  MMMXXVII\n",
      "3028  :  MMMXXVIII\n",
      "3029  :  MMMXXIX\n",
      "3030  :  MMMXXX\n",
      "3031  :  MMMXXXI\n",
      "3032  :  MMMXXXII\n",
      "3033  :  MMMXXXIII\n",
      "3034  :  MMMXXXIV\n",
      "3035  :  MMMXXXV\n",
      "3036  :  MMMXXXVI\n",
      "3037  :  MMMXXXVII\n",
      "3038  :  MMMXXXVIII\n",
      "3039  :  MMMXXXIX\n",
      "3040  :  MMMXL\n",
      "3041  :  MMMXLI\n",
      "3042  :  MMMXLII\n",
      "3043  :  MMMXLIII\n",
      "3044  :  MMMXLIV\n",
      "3045  :  MMMXLV\n",
      "3046  :  MMMXLVI\n",
      "3047  :  MMMXLVII\n",
      "3048  :  MMMXLVIII\n",
      "3049  :  MMMXLIX\n",
      "3050  :  MMML\n",
      "3051  :  MMMLI\n",
      "3052  :  MMMLII\n",
      "3053  :  MMMLIII\n",
      "3054  :  MMMLIV\n",
      "3055  :  MMMLV\n",
      "3056  :  MMMLVI\n",
      "3057  :  MMMLVII\n",
      "3058  :  MMMLVIII\n",
      "3059  :  MMMLIX\n",
      "3060  :  MMMLX\n",
      "3061  :  MMMLXI\n",
      "3062  :  MMMLXII\n",
      "3063  :  MMMLXIII\n",
      "3064  :  MMMLXIV\n",
      "3065  :  MMMLXV\n",
      "3066  :  MMMLXVI\n",
      "3067  :  MMMLXVII\n",
      "3068  :  MMMLXVIII\n",
      "3069  :  MMMLXIX\n",
      "3070  :  MMMLXX\n",
      "3071  :  MMMLXXI\n",
      "3072  :  MMMLXXII\n",
      "3073  :  MMMLXXIII\n",
      "3074  :  MMMLXXIV\n",
      "3075  :  MMMLXXV\n",
      "3076  :  MMMLXXVI\n",
      "3077  :  MMMLXXVII\n",
      "3078  :  MMMLXXVIII\n",
      "3079  :  MMMLXXIX\n",
      "3080  :  MMMLXXX\n",
      "3081  :  MMMLXXXI\n",
      "3082  :  MMMLXXXII\n",
      "3083  :  MMMLXXXIII\n",
      "3084  :  MMMLXXXIV\n",
      "3085  :  MMMLXXXV\n",
      "3086  :  MMMLXXXVI\n",
      "3087  :  MMMLXXXVII\n",
      "3088  :  MMMLXXXVIII\n",
      "3089  :  MMMLXXXIX\n",
      "3090  :  MMMXC\n",
      "3091  :  MMMXCI\n",
      "3092  :  MMMXCII\n",
      "3093  :  MMMXCIII\n",
      "3094  :  MMMXCIV\n",
      "3095  :  MMMXCV\n",
      "3096  :  MMMXCVI\n",
      "3097  :  MMMXCVII\n",
      "3098  :  MMMXCVIII\n",
      "3099  :  MMMXCIX\n",
      "3100  :  MMMC\n",
      "3101  :  MMMCI\n",
      "3102  :  MMMCII\n",
      "3103  :  MMMCIII\n",
      "3104  :  MMMCIV\n",
      "3105  :  MMMCV\n",
      "3106  :  MMMCVI\n",
      "3107  :  MMMCVII\n",
      "3108  :  MMMCVIII\n",
      "3109  :  MMMCIX\n",
      "3110  :  MMMCX\n",
      "3111  :  MMMCXI\n",
      "3112  :  MMMCXII\n",
      "3113  :  MMMCXIII\n",
      "3114  :  MMMCXIV\n",
      "3115  :  MMMCXV\n",
      "3116  :  MMMCXVI\n",
      "3117  :  MMMCXVII\n",
      "3118  :  MMMCXVIII\n",
      "3119  :  MMMCXIX\n",
      "3120  :  MMMCXX\n",
      "3121  :  MMMCXXI\n",
      "3122  :  MMMCXXII\n",
      "3123  :  MMMCXXIII\n",
      "3124  :  MMMCXXIV\n",
      "3125  :  MMMCXXV\n",
      "3126  :  MMMCXXVI\n",
      "3127  :  MMMCXXVII\n",
      "3128  :  MMMCXXVIII\n",
      "3129  :  MMMCXXIX\n",
      "3130  :  MMMCXXX\n",
      "3131  :  MMMCXXXI\n",
      "3132  :  MMMCXXXII\n",
      "3133  :  MMMCXXXIII\n",
      "3134  :  MMMCXXXIV\n",
      "3135  :  MMMCXXXV\n",
      "3136  :  MMMCXXXVI\n",
      "3137  :  MMMCXXXVII\n",
      "3138  :  MMMCXXXVIII\n",
      "3139  :  MMMCXXXIX\n",
      "3140  :  MMMCXL\n",
      "3141  :  MMMCXLI\n",
      "3142  :  MMMCXLII\n",
      "3143  :  MMMCXLIII\n",
      "3144  :  MMMCXLIV\n",
      "3145  :  MMMCXLV\n",
      "3146  :  MMMCXLVI\n",
      "3147  :  MMMCXLVII\n",
      "3148  :  MMMCXLVIII\n",
      "3149  :  MMMCXLIX\n",
      "3150  :  MMMCL\n",
      "3151  :  MMMCLI\n",
      "3152  :  MMMCLII\n",
      "3153  :  MMMCLIII\n",
      "3154  :  MMMCLIV\n",
      "3155  :  MMMCLV\n",
      "3156  :  MMMCLVI\n",
      "3157  :  MMMCLVII\n",
      "3158  :  MMMCLVIII\n",
      "3159  :  MMMCLIX\n",
      "3160  :  MMMCLX\n",
      "3161  :  MMMCLXI\n",
      "3162  :  MMMCLXII\n",
      "3163  :  MMMCLXIII\n",
      "3164  :  MMMCLXIV\n",
      "3165  :  MMMCLXV\n",
      "3166  :  MMMCLXVI\n",
      "3167  :  MMMCLXVII\n",
      "3168  :  MMMCLXVIII\n",
      "3169  :  MMMCLXIX\n",
      "3170  :  MMMCLXX\n",
      "3171  :  MMMCLXXI\n",
      "3172  :  MMMCLXXII\n",
      "3173  :  MMMCLXXIII\n",
      "3174  :  MMMCLXXIV\n",
      "3175  :  MMMCLXXV\n",
      "3176  :  MMMCLXXVI\n",
      "3177  :  MMMCLXXVII\n",
      "3178  :  MMMCLXXVIII\n",
      "3179  :  MMMCLXXIX\n",
      "3180  :  MMMCLXXX\n",
      "3181  :  MMMCLXXXI\n",
      "3182  :  MMMCLXXXII\n",
      "3183  :  MMMCLXXXIII\n",
      "3184  :  MMMCLXXXIV\n",
      "3185  :  MMMCLXXXV\n",
      "3186  :  MMMCLXXXVI\n",
      "3187  :  MMMCLXXXVII\n",
      "3188  :  MMMCLXXXVIII\n",
      "3189  :  MMMCLXXXIX\n",
      "3190  :  MMMCXC\n",
      "3191  :  MMMCXCI\n",
      "3192  :  MMMCXCII\n",
      "3193  :  MMMCXCIII\n",
      "3194  :  MMMCXCIV\n",
      "3195  :  MMMCXCV\n",
      "3196  :  MMMCXCVI\n",
      "3197  :  MMMCXCVII\n",
      "3198  :  MMMCXCVIII\n",
      "3199  :  MMMCXCIX\n",
      "3200  :  MMMCC\n",
      "3201  :  MMMCCI\n",
      "3202  :  MMMCCII\n",
      "3203  :  MMMCCIII\n",
      "3204  :  MMMCCIV\n",
      "3205  :  MMMCCV\n",
      "3206  :  MMMCCVI\n",
      "3207  :  MMMCCVII\n",
      "3208  :  MMMCCVIII\n",
      "3209  :  MMMCCIX\n",
      "3210  :  MMMCCX\n",
      "3211  :  MMMCCXI\n",
      "3212  :  MMMCCXII\n",
      "3213  :  MMMCCXIII\n",
      "3214  :  MMMCCXIV\n",
      "3215  :  MMMCCXV\n",
      "3216  :  MMMCCXVI\n",
      "3217  :  MMMCCXVII\n",
      "3218  :  MMMCCXVIII\n",
      "3219  :  MMMCCXIX\n",
      "3220  :  MMMCCXX\n",
      "3221  :  MMMCCXXI\n",
      "3222  :  MMMCCXXII\n",
      "3223  :  MMMCCXXIII\n",
      "3224  :  MMMCCXXIV\n",
      "3225  :  MMMCCXXV\n",
      "3226  :  MMMCCXXVI\n",
      "3227  :  MMMCCXXVII\n",
      "3228  :  MMMCCXXVIII\n",
      "3229  :  MMMCCXXIX\n",
      "3230  :  MMMCCXXX\n",
      "3231  :  MMMCCXXXI\n",
      "3232  :  MMMCCXXXII\n",
      "3233  :  MMMCCXXXIII\n",
      "3234  :  MMMCCXXXIV\n",
      "3235  :  MMMCCXXXV\n",
      "3236  :  MMMCCXXXVI\n",
      "3237  :  MMMCCXXXVII\n",
      "3238  :  MMMCCXXXVIII\n",
      "3239  :  MMMCCXXXIX\n",
      "3240  :  MMMCCXL\n",
      "3241  :  MMMCCXLI\n",
      "3242  :  MMMCCXLII\n",
      "3243  :  MMMCCXLIII\n",
      "3244  :  MMMCCXLIV\n",
      "3245  :  MMMCCXLV\n",
      "3246  :  MMMCCXLVI\n",
      "3247  :  MMMCCXLVII\n",
      "3248  :  MMMCCXLVIII\n",
      "3249  :  MMMCCXLIX\n",
      "3250  :  MMMCCL\n",
      "3251  :  MMMCCLI\n",
      "3252  :  MMMCCLII\n",
      "3253  :  MMMCCLIII\n",
      "3254  :  MMMCCLIV\n",
      "3255  :  MMMCCLV\n",
      "3256  :  MMMCCLVI\n",
      "3257  :  MMMCCLVII\n",
      "3258  :  MMMCCLVIII\n",
      "3259  :  MMMCCLIX\n",
      "3260  :  MMMCCLX\n",
      "3261  :  MMMCCLXI\n",
      "3262  :  MMMCCLXII\n",
      "3263  :  MMMCCLXIII\n",
      "3264  :  MMMCCLXIV\n",
      "3265  :  MMMCCLXV\n",
      "3266  :  MMMCCLXVI\n",
      "3267  :  MMMCCLXVII\n",
      "3268  :  MMMCCLXVIII\n",
      "3269  :  MMMCCLXIX\n",
      "3270  :  MMMCCLXX\n",
      "3271  :  MMMCCLXXI\n",
      "3272  :  MMMCCLXXII\n",
      "3273  :  MMMCCLXXIII\n",
      "3274  :  MMMCCLXXIV\n",
      "3275  :  MMMCCLXXV\n",
      "3276  :  MMMCCLXXVI\n",
      "3277  :  MMMCCLXXVII\n",
      "3278  :  MMMCCLXXVIII\n",
      "3279  :  MMMCCLXXIX\n",
      "3280  :  MMMCCLXXX\n",
      "3281  :  MMMCCLXXXI\n",
      "3282  :  MMMCCLXXXII\n",
      "3283  :  MMMCCLXXXIII\n",
      "3284  :  MMMCCLXXXIV\n",
      "3285  :  MMMCCLXXXV\n",
      "3286  :  MMMCCLXXXVI\n",
      "3287  :  MMMCCLXXXVII\n",
      "3288  :  MMMCCLXXXVIII\n",
      "3289  :  MMMCCLXXXIX\n",
      "3290  :  MMMCCXC\n",
      "3291  :  MMMCCXCI\n",
      "3292  :  MMMCCXCII\n",
      "3293  :  MMMCCXCIII\n",
      "3294  :  MMMCCXCIV\n",
      "3295  :  MMMCCXCV\n",
      "3296  :  MMMCCXCVI\n",
      "3297  :  MMMCCXCVII\n",
      "3298  :  MMMCCXCVIII\n",
      "3299  :  MMMCCXCIX\n",
      "3300  :  MMMCCC\n",
      "3301  :  MMMCCCI\n",
      "3302  :  MMMCCCII\n",
      "3303  :  MMMCCCIII\n",
      "3304  :  MMMCCCIV\n",
      "3305  :  MMMCCCV\n",
      "3306  :  MMMCCCVI\n",
      "3307  :  MMMCCCVII\n",
      "3308  :  MMMCCCVIII\n",
      "3309  :  MMMCCCIX\n",
      "3310  :  MMMCCCX\n",
      "3311  :  MMMCCCXI\n",
      "3312  :  MMMCCCXII\n",
      "3313  :  MMMCCCXIII\n",
      "3314  :  MMMCCCXIV\n",
      "3315  :  MMMCCCXV\n",
      "3316  :  MMMCCCXVI\n",
      "3317  :  MMMCCCXVII\n",
      "3318  :  MMMCCCXVIII\n",
      "3319  :  MMMCCCXIX\n",
      "3320  :  MMMCCCXX\n",
      "3321  :  MMMCCCXXI\n",
      "3322  :  MMMCCCXXII\n",
      "3323  :  MMMCCCXXIII\n",
      "3324  :  MMMCCCXXIV\n",
      "3325  :  MMMCCCXXV\n",
      "3326  :  MMMCCCXXVI\n",
      "3327  :  MMMCCCXXVII\n",
      "3328  :  MMMCCCXXVIII\n",
      "3329  :  MMMCCCXXIX\n",
      "3330  :  MMMCCCXXX\n",
      "3331  :  MMMCCCXXXI\n",
      "3332  :  MMMCCCXXXII\n",
      "3333  :  MMMCCCXXXIII\n",
      "3334  :  MMMCCCXXXIV\n",
      "3335  :  MMMCCCXXXV\n",
      "3336  :  MMMCCCXXXVI\n",
      "3337  :  MMMCCCXXXVII\n",
      "3338  :  MMMCCCXXXVIII\n",
      "3339  :  MMMCCCXXXIX\n",
      "3340  :  MMMCCCXL\n",
      "3341  :  MMMCCCXLI\n",
      "3342  :  MMMCCCXLII\n",
      "3343  :  MMMCCCXLIII\n",
      "3344  :  MMMCCCXLIV\n",
      "3345  :  MMMCCCXLV\n",
      "3346  :  MMMCCCXLVI\n",
      "3347  :  MMMCCCXLVII\n",
      "3348  :  MMMCCCXLVIII\n",
      "3349  :  MMMCCCXLIX\n",
      "3350  :  MMMCCCL\n",
      "3351  :  MMMCCCLI\n",
      "3352  :  MMMCCCLII\n",
      "3353  :  MMMCCCLIII\n",
      "3354  :  MMMCCCLIV\n",
      "3355  :  MMMCCCLV\n",
      "3356  :  MMMCCCLVI\n",
      "3357  :  MMMCCCLVII\n",
      "3358  :  MMMCCCLVIII\n",
      "3359  :  MMMCCCLIX\n",
      "3360  :  MMMCCCLX\n",
      "3361  :  MMMCCCLXI\n",
      "3362  :  MMMCCCLXII\n",
      "3363  :  MMMCCCLXIII\n",
      "3364  :  MMMCCCLXIV\n",
      "3365  :  MMMCCCLXV\n",
      "3366  :  MMMCCCLXVI\n",
      "3367  :  MMMCCCLXVII\n",
      "3368  :  MMMCCCLXVIII\n",
      "3369  :  MMMCCCLXIX\n",
      "3370  :  MMMCCCLXX\n",
      "3371  :  MMMCCCLXXI\n",
      "3372  :  MMMCCCLXXII\n",
      "3373  :  MMMCCCLXXIII\n",
      "3374  :  MMMCCCLXXIV\n",
      "3375  :  MMMCCCLXXV\n",
      "3376  :  MMMCCCLXXVI\n",
      "3377  :  MMMCCCLXXVII\n",
      "3378  :  MMMCCCLXXVIII\n",
      "3379  :  MMMCCCLXXIX\n",
      "3380  :  MMMCCCLXXX\n",
      "3381  :  MMMCCCLXXXI\n",
      "3382  :  MMMCCCLXXXII\n",
      "3383  :  MMMCCCLXXXIII\n",
      "3384  :  MMMCCCLXXXIV\n",
      "3385  :  MMMCCCLXXXV\n",
      "3386  :  MMMCCCLXXXVI\n",
      "3387  :  MMMCCCLXXXVII\n",
      "3388  :  MMMCCCLXXXVIII\n",
      "3389  :  MMMCCCLXXXIX\n",
      "3390  :  MMMCCCXC\n",
      "3391  :  MMMCCCXCI\n",
      "3392  :  MMMCCCXCII\n",
      "3393  :  MMMCCCXCIII\n",
      "3394  :  MMMCCCXCIV\n",
      "3395  :  MMMCCCXCV\n",
      "3396  :  MMMCCCXCVI\n",
      "3397  :  MMMCCCXCVII\n",
      "3398  :  MMMCCCXCVIII\n",
      "3399  :  MMMCCCXCIX\n",
      "3400  :  MMMCD\n",
      "3401  :  MMMCDI\n",
      "3402  :  MMMCDII\n",
      "3403  :  MMMCDIII\n",
      "3404  :  MMMCDIV\n",
      "3405  :  MMMCDV\n",
      "3406  :  MMMCDVI\n",
      "3407  :  MMMCDVII\n",
      "3408  :  MMMCDVIII\n",
      "3409  :  MMMCDIX\n",
      "3410  :  MMMCDX\n",
      "3411  :  MMMCDXI\n",
      "3412  :  MMMCDXII\n",
      "3413  :  MMMCDXIII\n",
      "3414  :  MMMCDXIV\n",
      "3415  :  MMMCDXV\n",
      "3416  :  MMMCDXVI\n",
      "3417  :  MMMCDXVII\n",
      "3418  :  MMMCDXVIII\n",
      "3419  :  MMMCDXIX\n",
      "3420  :  MMMCDXX\n",
      "3421  :  MMMCDXXI\n",
      "3422  :  MMMCDXXII\n",
      "3423  :  MMMCDXXIII\n",
      "3424  :  MMMCDXXIV\n",
      "3425  :  MMMCDXXV\n",
      "3426  :  MMMCDXXVI\n",
      "3427  :  MMMCDXXVII\n",
      "3428  :  MMMCDXXVIII\n",
      "3429  :  MMMCDXXIX\n",
      "3430  :  MMMCDXXX\n",
      "3431  :  MMMCDXXXI\n",
      "3432  :  MMMCDXXXII\n",
      "3433  :  MMMCDXXXIII\n",
      "3434  :  MMMCDXXXIV\n",
      "3435  :  MMMCDXXXV\n",
      "3436  :  MMMCDXXXVI\n",
      "3437  :  MMMCDXXXVII\n",
      "3438  :  MMMCDXXXVIII\n",
      "3439  :  MMMCDXXXIX\n",
      "3440  :  MMMCDXL\n",
      "3441  :  MMMCDXLI\n",
      "3442  :  MMMCDXLII\n",
      "3443  :  MMMCDXLIII\n",
      "3444  :  MMMCDXLIV\n",
      "3445  :  MMMCDXLV\n",
      "3446  :  MMMCDXLVI\n",
      "3447  :  MMMCDXLVII\n",
      "3448  :  MMMCDXLVIII\n",
      "3449  :  MMMCDXLIX\n",
      "3450  :  MMMCDL\n",
      "3451  :  MMMCDLI\n",
      "3452  :  MMMCDLII\n",
      "3453  :  MMMCDLIII\n",
      "3454  :  MMMCDLIV\n",
      "3455  :  MMMCDLV\n",
      "3456  :  MMMCDLVI\n",
      "3457  :  MMMCDLVII\n",
      "3458  :  MMMCDLVIII\n",
      "3459  :  MMMCDLIX\n",
      "3460  :  MMMCDLX\n",
      "3461  :  MMMCDLXI\n",
      "3462  :  MMMCDLXII\n",
      "3463  :  MMMCDLXIII\n",
      "3464  :  MMMCDLXIV\n",
      "3465  :  MMMCDLXV\n",
      "3466  :  MMMCDLXVI\n",
      "3467  :  MMMCDLXVII\n",
      "3468  :  MMMCDLXVIII\n",
      "3469  :  MMMCDLXIX\n",
      "3470  :  MMMCDLXX\n",
      "3471  :  MMMCDLXXI\n",
      "3472  :  MMMCDLXXII\n",
      "3473  :  MMMCDLXXIII\n",
      "3474  :  MMMCDLXXIV\n",
      "3475  :  MMMCDLXXV\n",
      "3476  :  MMMCDLXXVI\n",
      "3477  :  MMMCDLXXVII\n",
      "3478  :  MMMCDLXXVIII\n",
      "3479  :  MMMCDLXXIX\n",
      "3480  :  MMMCDLXXX\n",
      "3481  :  MMMCDLXXXI\n",
      "3482  :  MMMCDLXXXII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3483  :  MMMCDLXXXIII\n",
      "3484  :  MMMCDLXXXIV\n",
      "3485  :  MMMCDLXXXV\n",
      "3486  :  MMMCDLXXXVI\n",
      "3487  :  MMMCDLXXXVII\n",
      "3488  :  MMMCDLXXXVIII\n",
      "3489  :  MMMCDLXXXIX\n",
      "3490  :  MMMCDXC\n",
      "3491  :  MMMCDXCI\n",
      "3492  :  MMMCDXCII\n",
      "3493  :  MMMCDXCIII\n",
      "3494  :  MMMCDXCIV\n",
      "3495  :  MMMCDXCV\n",
      "3496  :  MMMCDXCVI\n",
      "3497  :  MMMCDXCVII\n",
      "3498  :  MMMCDXCVIII\n",
      "3499  :  MMMCDXCIX\n",
      "3500  :  MMMD\n",
      "3501  :  MMMDI\n",
      "3502  :  MMMDII\n",
      "3503  :  MMMDIII\n",
      "3504  :  MMMDIV\n",
      "3505  :  MMMDV\n",
      "3506  :  MMMDVI\n",
      "3507  :  MMMDVII\n",
      "3508  :  MMMDVIII\n",
      "3509  :  MMMDIX\n",
      "3510  :  MMMDX\n",
      "3511  :  MMMDXI\n",
      "3512  :  MMMDXII\n",
      "3513  :  MMMDXIII\n",
      "3514  :  MMMDXIV\n",
      "3515  :  MMMDXV\n",
      "3516  :  MMMDXVI\n",
      "3517  :  MMMDXVII\n",
      "3518  :  MMMDXVIII\n",
      "3519  :  MMMDXIX\n",
      "3520  :  MMMDXX\n",
      "3521  :  MMMDXXI\n",
      "3522  :  MMMDXXII\n",
      "3523  :  MMMDXXIII\n",
      "3524  :  MMMDXXIV\n",
      "3525  :  MMMDXXV\n",
      "3526  :  MMMDXXVI\n",
      "3527  :  MMMDXXVII\n",
      "3528  :  MMMDXXVIII\n",
      "3529  :  MMMDXXIX\n",
      "3530  :  MMMDXXX\n",
      "3531  :  MMMDXXXI\n",
      "3532  :  MMMDXXXII\n",
      "3533  :  MMMDXXXIII\n",
      "3534  :  MMMDXXXIV\n",
      "3535  :  MMMDXXXV\n",
      "3536  :  MMMDXXXVI\n",
      "3537  :  MMMDXXXVII\n",
      "3538  :  MMMDXXXVIII\n",
      "3539  :  MMMDXXXIX\n",
      "3540  :  MMMDXL\n",
      "3541  :  MMMDXLI\n",
      "3542  :  MMMDXLII\n",
      "3543  :  MMMDXLIII\n",
      "3544  :  MMMDXLIV\n",
      "3545  :  MMMDXLV\n",
      "3546  :  MMMDXLVI\n",
      "3547  :  MMMDXLVII\n",
      "3548  :  MMMDXLVIII\n",
      "3549  :  MMMDXLIX\n",
      "3550  :  MMMDL\n",
      "3551  :  MMMDLI\n",
      "3552  :  MMMDLII\n",
      "3553  :  MMMDLIII\n",
      "3554  :  MMMDLIV\n",
      "3555  :  MMMDLV\n",
      "3556  :  MMMDLVI\n",
      "3557  :  MMMDLVII\n",
      "3558  :  MMMDLVIII\n",
      "3559  :  MMMDLIX\n",
      "3560  :  MMMDLX\n",
      "3561  :  MMMDLXI\n",
      "3562  :  MMMDLXII\n",
      "3563  :  MMMDLXIII\n",
      "3564  :  MMMDLXIV\n",
      "3565  :  MMMDLXV\n",
      "3566  :  MMMDLXVI\n",
      "3567  :  MMMDLXVII\n",
      "3568  :  MMMDLXVIII\n",
      "3569  :  MMMDLXIX\n",
      "3570  :  MMMDLXX\n",
      "3571  :  MMMDLXXI\n",
      "3572  :  MMMDLXXII\n",
      "3573  :  MMMDLXXIII\n",
      "3574  :  MMMDLXXIV\n",
      "3575  :  MMMDLXXV\n",
      "3576  :  MMMDLXXVI\n",
      "3577  :  MMMDLXXVII\n",
      "3578  :  MMMDLXXVIII\n",
      "3579  :  MMMDLXXIX\n",
      "3580  :  MMMDLXXX\n",
      "3581  :  MMMDLXXXI\n",
      "3582  :  MMMDLXXXII\n",
      "3583  :  MMMDLXXXIII\n",
      "3584  :  MMMDLXXXIV\n",
      "3585  :  MMMDLXXXV\n",
      "3586  :  MMMDLXXXVI\n",
      "3587  :  MMMDLXXXVII\n",
      "3588  :  MMMDLXXXVIII\n",
      "3589  :  MMMDLXXXIX\n",
      "3590  :  MMMDXC\n",
      "3591  :  MMMDXCI\n",
      "3592  :  MMMDXCII\n",
      "3593  :  MMMDXCIII\n",
      "3594  :  MMMDXCIV\n",
      "3595  :  MMMDXCV\n",
      "3596  :  MMMDXCVI\n",
      "3597  :  MMMDXCVII\n",
      "3598  :  MMMDXCVIII\n",
      "3599  :  MMMDXCIX\n",
      "3600  :  MMMDC\n",
      "3601  :  MMMDCI\n",
      "3602  :  MMMDCII\n",
      "3603  :  MMMDCIII\n",
      "3604  :  MMMDCIV\n",
      "3605  :  MMMDCV\n",
      "3606  :  MMMDCVI\n",
      "3607  :  MMMDCVII\n",
      "3608  :  MMMDCVIII\n",
      "3609  :  MMMDCIX\n",
      "3610  :  MMMDCX\n",
      "3611  :  MMMDCXI\n",
      "3612  :  MMMDCXII\n",
      "3613  :  MMMDCXIII\n",
      "3614  :  MMMDCXIV\n",
      "3615  :  MMMDCXV\n",
      "3616  :  MMMDCXVI\n",
      "3617  :  MMMDCXVII\n",
      "3618  :  MMMDCXVIII\n",
      "3619  :  MMMDCXIX\n",
      "3620  :  MMMDCXX\n",
      "3621  :  MMMDCXXI\n",
      "3622  :  MMMDCXXII\n",
      "3623  :  MMMDCXXIII\n",
      "3624  :  MMMDCXXIV\n",
      "3625  :  MMMDCXXV\n",
      "3626  :  MMMDCXXVI\n",
      "3627  :  MMMDCXXVII\n",
      "3628  :  MMMDCXXVIII\n",
      "3629  :  MMMDCXXIX\n",
      "3630  :  MMMDCXXX\n",
      "3631  :  MMMDCXXXI\n",
      "3632  :  MMMDCXXXII\n",
      "3633  :  MMMDCXXXIII\n",
      "3634  :  MMMDCXXXIV\n",
      "3635  :  MMMDCXXXV\n",
      "3636  :  MMMDCXXXVI\n",
      "3637  :  MMMDCXXXVII\n",
      "3638  :  MMMDCXXXVIII\n",
      "3639  :  MMMDCXXXIX\n",
      "3640  :  MMMDCXL\n",
      "3641  :  MMMDCXLI\n",
      "3642  :  MMMDCXLII\n",
      "3643  :  MMMDCXLIII\n",
      "3644  :  MMMDCXLIV\n",
      "3645  :  MMMDCXLV\n",
      "3646  :  MMMDCXLVI\n",
      "3647  :  MMMDCXLVII\n",
      "3648  :  MMMDCXLVIII\n",
      "3649  :  MMMDCXLIX\n",
      "3650  :  MMMDCL\n",
      "3651  :  MMMDCLI\n",
      "3652  :  MMMDCLII\n",
      "3653  :  MMMDCLIII\n",
      "3654  :  MMMDCLIV\n",
      "3655  :  MMMDCLV\n",
      "3656  :  MMMDCLVI\n",
      "3657  :  MMMDCLVII\n",
      "3658  :  MMMDCLVIII\n",
      "3659  :  MMMDCLIX\n",
      "3660  :  MMMDCLX\n",
      "3661  :  MMMDCLXI\n",
      "3662  :  MMMDCLXII\n",
      "3663  :  MMMDCLXIII\n",
      "3664  :  MMMDCLXIV\n",
      "3665  :  MMMDCLXV\n",
      "3666  :  MMMDCLXVI\n",
      "3667  :  MMMDCLXVII\n",
      "3668  :  MMMDCLXVIII\n",
      "3669  :  MMMDCLXIX\n",
      "3670  :  MMMDCLXX\n",
      "3671  :  MMMDCLXXI\n",
      "3672  :  MMMDCLXXII\n",
      "3673  :  MMMDCLXXIII\n",
      "3674  :  MMMDCLXXIV\n",
      "3675  :  MMMDCLXXV\n",
      "3676  :  MMMDCLXXVI\n",
      "3677  :  MMMDCLXXVII\n",
      "3678  :  MMMDCLXXVIII\n",
      "3679  :  MMMDCLXXIX\n",
      "3680  :  MMMDCLXXX\n",
      "3681  :  MMMDCLXXXI\n",
      "3682  :  MMMDCLXXXII\n",
      "3683  :  MMMDCLXXXIII\n",
      "3684  :  MMMDCLXXXIV\n",
      "3685  :  MMMDCLXXXV\n",
      "3686  :  MMMDCLXXXVI\n",
      "3687  :  MMMDCLXXXVII\n",
      "3688  :  MMMDCLXXXVIII\n",
      "3689  :  MMMDCLXXXIX\n",
      "3690  :  MMMDCXC\n",
      "3691  :  MMMDCXCI\n",
      "3692  :  MMMDCXCII\n",
      "3693  :  MMMDCXCIII\n",
      "3694  :  MMMDCXCIV\n",
      "3695  :  MMMDCXCV\n",
      "3696  :  MMMDCXCVI\n",
      "3697  :  MMMDCXCVII\n",
      "3698  :  MMMDCXCVIII\n",
      "3699  :  MMMDCXCIX\n",
      "3700  :  MMMDCC\n",
      "3701  :  MMMDCCI\n",
      "3702  :  MMMDCCII\n",
      "3703  :  MMMDCCIII\n",
      "3704  :  MMMDCCIV\n",
      "3705  :  MMMDCCV\n",
      "3706  :  MMMDCCVI\n",
      "3707  :  MMMDCCVII\n",
      "3708  :  MMMDCCVIII\n",
      "3709  :  MMMDCCIX\n",
      "3710  :  MMMDCCX\n",
      "3711  :  MMMDCCXI\n",
      "3712  :  MMMDCCXII\n",
      "3713  :  MMMDCCXIII\n",
      "3714  :  MMMDCCXIV\n",
      "3715  :  MMMDCCXV\n",
      "3716  :  MMMDCCXVI\n",
      "3717  :  MMMDCCXVII\n",
      "3718  :  MMMDCCXVIII\n",
      "3719  :  MMMDCCXIX\n",
      "3720  :  MMMDCCXX\n",
      "3721  :  MMMDCCXXI\n",
      "3722  :  MMMDCCXXII\n",
      "3723  :  MMMDCCXXIII\n",
      "3724  :  MMMDCCXXIV\n",
      "3725  :  MMMDCCXXV\n",
      "3726  :  MMMDCCXXVI\n",
      "3727  :  MMMDCCXXVII\n",
      "3728  :  MMMDCCXXVIII\n",
      "3729  :  MMMDCCXXIX\n",
      "3730  :  MMMDCCXXX\n",
      "3731  :  MMMDCCXXXI\n",
      "3732  :  MMMDCCXXXII\n",
      "3733  :  MMMDCCXXXIII\n",
      "3734  :  MMMDCCXXXIV\n",
      "3735  :  MMMDCCXXXV\n",
      "3736  :  MMMDCCXXXVI\n",
      "3737  :  MMMDCCXXXVII\n",
      "3738  :  MMMDCCXXXVIII\n",
      "3739  :  MMMDCCXXXIX\n",
      "3740  :  MMMDCCXL\n",
      "3741  :  MMMDCCXLI\n",
      "3742  :  MMMDCCXLII\n",
      "3743  :  MMMDCCXLIII\n",
      "3744  :  MMMDCCXLIV\n",
      "3745  :  MMMDCCXLV\n",
      "3746  :  MMMDCCXLVI\n",
      "3747  :  MMMDCCXLVII\n",
      "3748  :  MMMDCCXLVIII\n",
      "3749  :  MMMDCCXLIX\n",
      "3750  :  MMMDCCL\n",
      "3751  :  MMMDCCLI\n",
      "3752  :  MMMDCCLII\n",
      "3753  :  MMMDCCLIII\n",
      "3754  :  MMMDCCLIV\n",
      "3755  :  MMMDCCLV\n",
      "3756  :  MMMDCCLVI\n",
      "3757  :  MMMDCCLVII\n",
      "3758  :  MMMDCCLVIII\n",
      "3759  :  MMMDCCLIX\n",
      "3760  :  MMMDCCLX\n",
      "3761  :  MMMDCCLXI\n",
      "3762  :  MMMDCCLXII\n",
      "3763  :  MMMDCCLXIII\n",
      "3764  :  MMMDCCLXIV\n",
      "3765  :  MMMDCCLXV\n",
      "3766  :  MMMDCCLXVI\n",
      "3767  :  MMMDCCLXVII\n",
      "3768  :  MMMDCCLXVIII\n",
      "3769  :  MMMDCCLXIX\n",
      "3770  :  MMMDCCLXX\n",
      "3771  :  MMMDCCLXXI\n",
      "3772  :  MMMDCCLXXII\n",
      "3773  :  MMMDCCLXXIII\n",
      "3774  :  MMMDCCLXXIV\n",
      "3775  :  MMMDCCLXXV\n",
      "3776  :  MMMDCCLXXVI\n",
      "3777  :  MMMDCCLXXVII\n",
      "3778  :  MMMDCCLXXVIII\n",
      "3779  :  MMMDCCLXXIX\n",
      "3780  :  MMMDCCLXXX\n",
      "3781  :  MMMDCCLXXXI\n",
      "3782  :  MMMDCCLXXXII\n",
      "3783  :  MMMDCCLXXXIII\n",
      "3784  :  MMMDCCLXXXIV\n",
      "3785  :  MMMDCCLXXXV\n",
      "3786  :  MMMDCCLXXXVI\n",
      "3787  :  MMMDCCLXXXVII\n",
      "3788  :  MMMDCCLXXXVIII\n",
      "3789  :  MMMDCCLXXXIX\n",
      "3790  :  MMMDCCXC\n",
      "3791  :  MMMDCCXCI\n",
      "3792  :  MMMDCCXCII\n",
      "3793  :  MMMDCCXCIII\n",
      "3794  :  MMMDCCXCIV\n",
      "3795  :  MMMDCCXCV\n",
      "3796  :  MMMDCCXCVI\n",
      "3797  :  MMMDCCXCVII\n",
      "3798  :  MMMDCCXCVIII\n",
      "3799  :  MMMDCCXCIX\n",
      "3800  :  MMMDCCC\n",
      "3801  :  MMMDCCCI\n",
      "3802  :  MMMDCCCII\n",
      "3803  :  MMMDCCCIII\n",
      "3804  :  MMMDCCCIV\n",
      "3805  :  MMMDCCCV\n",
      "3806  :  MMMDCCCVI\n",
      "3807  :  MMMDCCCVII\n",
      "3808  :  MMMDCCCVIII\n",
      "3809  :  MMMDCCCIX\n",
      "3810  :  MMMDCCCX\n",
      "3811  :  MMMDCCCXI\n",
      "3812  :  MMMDCCCXII\n",
      "3813  :  MMMDCCCXIII\n",
      "3814  :  MMMDCCCXIV\n",
      "3815  :  MMMDCCCXV\n",
      "3816  :  MMMDCCCXVI\n",
      "3817  :  MMMDCCCXVII\n",
      "3818  :  MMMDCCCXVIII\n",
      "3819  :  MMMDCCCXIX\n",
      "3820  :  MMMDCCCXX\n",
      "3821  :  MMMDCCCXXI\n",
      "3822  :  MMMDCCCXXII\n",
      "3823  :  MMMDCCCXXIII\n",
      "3824  :  MMMDCCCXXIV\n",
      "3825  :  MMMDCCCXXV\n",
      "3826  :  MMMDCCCXXVI\n",
      "3827  :  MMMDCCCXXVII\n",
      "3828  :  MMMDCCCXXVIII\n",
      "3829  :  MMMDCCCXXIX\n",
      "3830  :  MMMDCCCXXX\n",
      "3831  :  MMMDCCCXXXI\n",
      "3832  :  MMMDCCCXXXII\n",
      "3833  :  MMMDCCCXXXIII\n",
      "3834  :  MMMDCCCXXXIV\n",
      "3835  :  MMMDCCCXXXV\n",
      "3836  :  MMMDCCCXXXVI\n",
      "3837  :  MMMDCCCXXXVII\n",
      "3838  :  MMMDCCCXXXVIII\n",
      "3839  :  MMMDCCCXXXIX\n",
      "3840  :  MMMDCCCXL\n",
      "3841  :  MMMDCCCXLI\n",
      "3842  :  MMMDCCCXLII\n",
      "3843  :  MMMDCCCXLIII\n",
      "3844  :  MMMDCCCXLIV\n",
      "3845  :  MMMDCCCXLV\n",
      "3846  :  MMMDCCCXLVI\n",
      "3847  :  MMMDCCCXLVII\n",
      "3848  :  MMMDCCCXLVIII\n",
      "3849  :  MMMDCCCXLIX\n",
      "3850  :  MMMDCCCL\n",
      "3851  :  MMMDCCCLI\n",
      "3852  :  MMMDCCCLII\n",
      "3853  :  MMMDCCCLIII\n",
      "3854  :  MMMDCCCLIV\n",
      "3855  :  MMMDCCCLV\n",
      "3856  :  MMMDCCCLVI\n",
      "3857  :  MMMDCCCLVII\n",
      "3858  :  MMMDCCCLVIII\n",
      "3859  :  MMMDCCCLIX\n",
      "3860  :  MMMDCCCLX\n",
      "3861  :  MMMDCCCLXI\n",
      "3862  :  MMMDCCCLXII\n",
      "3863  :  MMMDCCCLXIII\n",
      "3864  :  MMMDCCCLXIV\n",
      "3865  :  MMMDCCCLXV\n",
      "3866  :  MMMDCCCLXVI\n",
      "3867  :  MMMDCCCLXVII\n",
      "3868  :  MMMDCCCLXVIII\n",
      "3869  :  MMMDCCCLXIX\n",
      "3870  :  MMMDCCCLXX\n",
      "3871  :  MMMDCCCLXXI\n",
      "3872  :  MMMDCCCLXXII\n",
      "3873  :  MMMDCCCLXXIII\n",
      "3874  :  MMMDCCCLXXIV\n",
      "3875  :  MMMDCCCLXXV\n",
      "3876  :  MMMDCCCLXXVI\n",
      "3877  :  MMMDCCCLXXVII\n",
      "3878  :  MMMDCCCLXXVIII\n",
      "3879  :  MMMDCCCLXXIX\n",
      "3880  :  MMMDCCCLXXX\n",
      "3881  :  MMMDCCCLXXXI\n",
      "3882  :  MMMDCCCLXXXII\n",
      "3883  :  MMMDCCCLXXXIII\n",
      "3884  :  MMMDCCCLXXXIV\n",
      "3885  :  MMMDCCCLXXXV\n",
      "3886  :  MMMDCCCLXXXVI\n",
      "3887  :  MMMDCCCLXXXVII\n",
      "3888  :  MMMDCCCLXXXVIII\n",
      "3889  :  MMMDCCCLXXXIX\n",
      "3890  :  MMMDCCCXC\n",
      "3891  :  MMMDCCCXCI\n",
      "3892  :  MMMDCCCXCII\n",
      "3893  :  MMMDCCCXCIII\n",
      "3894  :  MMMDCCCXCIV\n",
      "3895  :  MMMDCCCXCV\n",
      "3896  :  MMMDCCCXCVI\n",
      "3897  :  MMMDCCCXCVII\n",
      "3898  :  MMMDCCCXCVIII\n",
      "3899  :  MMMDCCCXCIX\n",
      "3900  :  MMMCM\n",
      "3901  :  MMMCMI\n",
      "3902  :  MMMCMII\n",
      "3903  :  MMMCMIII\n",
      "3904  :  MMMCMIV\n",
      "3905  :  MMMCMV\n",
      "3906  :  MMMCMVI\n",
      "3907  :  MMMCMVII\n",
      "3908  :  MMMCMVIII\n",
      "3909  :  MMMCMIX\n",
      "3910  :  MMMCMX\n",
      "3911  :  MMMCMXI\n",
      "3912  :  MMMCMXII\n",
      "3913  :  MMMCMXIII\n",
      "3914  :  MMMCMXIV\n",
      "3915  :  MMMCMXV\n",
      "3916  :  MMMCMXVI\n",
      "3917  :  MMMCMXVII\n",
      "3918  :  MMMCMXVIII\n",
      "3919  :  MMMCMXIX\n",
      "3920  :  MMMCMXX\n",
      "3921  :  MMMCMXXI\n",
      "3922  :  MMMCMXXII\n",
      "3923  :  MMMCMXXIII\n",
      "3924  :  MMMCMXXIV\n",
      "3925  :  MMMCMXXV\n",
      "3926  :  MMMCMXXVI\n",
      "3927  :  MMMCMXXVII\n",
      "3928  :  MMMCMXXVIII\n",
      "3929  :  MMMCMXXIX\n",
      "3930  :  MMMCMXXX\n",
      "3931  :  MMMCMXXXI\n",
      "3932  :  MMMCMXXXII\n",
      "3933  :  MMMCMXXXIII\n",
      "3934  :  MMMCMXXXIV\n",
      "3935  :  MMMCMXXXV\n",
      "3936  :  MMMCMXXXVI\n",
      "3937  :  MMMCMXXXVII\n",
      "3938  :  MMMCMXXXVIII\n",
      "3939  :  MMMCMXXXIX\n",
      "3940  :  MMMCMXL\n",
      "3941  :  MMMCMXLI\n",
      "3942  :  MMMCMXLII\n",
      "3943  :  MMMCMXLIII\n",
      "3944  :  MMMCMXLIV\n",
      "3945  :  MMMCMXLV\n",
      "3946  :  MMMCMXLVI\n",
      "3947  :  MMMCMXLVII\n",
      "3948  :  MMMCMXLVIII\n",
      "3949  :  MMMCMXLIX\n",
      "3950  :  MMMCML\n",
      "3951  :  MMMCMLI\n",
      "3952  :  MMMCMLII\n",
      "3953  :  MMMCMLIII\n",
      "3954  :  MMMCMLIV\n",
      "3955  :  MMMCMLV\n",
      "3956  :  MMMCMLVI\n",
      "3957  :  MMMCMLVII\n",
      "3958  :  MMMCMLVIII\n",
      "3959  :  MMMCMLIX\n",
      "3960  :  MMMCMLX\n",
      "3961  :  MMMCMLXI\n",
      "3962  :  MMMCMLXII\n",
      "3963  :  MMMCMLXIII\n",
      "3964  :  MMMCMLXIV\n",
      "3965  :  MMMCMLXV\n",
      "3966  :  MMMCMLXVI\n",
      "3967  :  MMMCMLXVII\n",
      "3968  :  MMMCMLXVIII\n",
      "3969  :  MMMCMLXIX\n",
      "3970  :  MMMCMLXX\n",
      "3971  :  MMMCMLXXI\n",
      "3972  :  MMMCMLXXII\n",
      "3973  :  MMMCMLXXIII\n",
      "3974  :  MMMCMLXXIV\n",
      "3975  :  MMMCMLXXV\n",
      "3976  :  MMMCMLXXVI\n",
      "3977  :  MMMCMLXXVII\n",
      "3978  :  MMMCMLXXVIII\n",
      "3979  :  MMMCMLXXIX\n",
      "3980  :  MMMCMLXXX\n",
      "3981  :  MMMCMLXXXI\n",
      "3982  :  MMMCMLXXXII\n",
      "3983  :  MMMCMLXXXIII\n",
      "3984  :  MMMCMLXXXIV\n",
      "3985  :  MMMCMLXXXV\n",
      "3986  :  MMMCMLXXXVI\n",
      "3987  :  MMMCMLXXXVII\n",
      "3988  :  MMMCMLXXXVIII\n",
      "3989  :  MMMCMLXXXIX\n",
      "3990  :  MMMCMXC\n",
      "3991  :  MMMCMXCI\n",
      "3992  :  MMMCMXCII\n",
      "3993  :  MMMCMXCIII\n",
      "3994  :  MMMCMXCIV\n",
      "3995  :  MMMCMXCV\n",
      "3996  :  MMMCMXCVI\n",
      "3997  :  MMMCMXCVII\n",
      "3998  :  MMMCMXCVIII\n",
      "3999  :  MMMCMXCIX\n",
      "4000  :  MMMM\n",
      "4001  :  MMMMI\n",
      "4002  :  MMMMII\n",
      "4003  :  MMMMIII\n",
      "4004  :  MMMMIV\n",
      "4005  :  MMMMV\n",
      "4006  :  MMMMVI\n",
      "4007  :  MMMMVII\n",
      "4008  :  MMMMVIII\n",
      "4009  :  MMMMIX\n",
      "4010  :  MMMMX\n",
      "4011  :  MMMMXI\n",
      "4012  :  MMMMXII\n",
      "4013  :  MMMMXIII\n",
      "4014  :  MMMMXIV\n",
      "4015  :  MMMMXV\n",
      "4016  :  MMMMXVI\n",
      "4017  :  MMMMXVII\n",
      "4018  :  MMMMXVIII\n",
      "4019  :  MMMMXIX\n",
      "4020  :  MMMMXX\n",
      "4021  :  MMMMXXI\n",
      "4022  :  MMMMXXII\n",
      "4023  :  MMMMXXIII\n",
      "4024  :  MMMMXXIV\n",
      "4025  :  MMMMXXV\n",
      "4026  :  MMMMXXVI\n",
      "4027  :  MMMMXXVII\n",
      "4028  :  MMMMXXVIII\n",
      "4029  :  MMMMXXIX\n",
      "4030  :  MMMMXXX\n",
      "4031  :  MMMMXXXI\n",
      "4032  :  MMMMXXXII\n",
      "4033  :  MMMMXXXIII\n",
      "4034  :  MMMMXXXIV\n",
      "4035  :  MMMMXXXV\n",
      "4036  :  MMMMXXXVI\n",
      "4037  :  MMMMXXXVII\n",
      "4038  :  MMMMXXXVIII\n",
      "4039  :  MMMMXXXIX\n",
      "4040  :  MMMMXL\n",
      "4041  :  MMMMXLI\n",
      "4042  :  MMMMXLII\n",
      "4043  :  MMMMXLIII\n",
      "4044  :  MMMMXLIV\n",
      "4045  :  MMMMXLV\n",
      "4046  :  MMMMXLVI\n",
      "4047  :  MMMMXLVII\n",
      "4048  :  MMMMXLVIII\n",
      "4049  :  MMMMXLIX\n",
      "4050  :  MMMML\n",
      "4051  :  MMMMLI\n",
      "4052  :  MMMMLII\n",
      "4053  :  MMMMLIII\n",
      "4054  :  MMMMLIV\n",
      "4055  :  MMMMLV\n",
      "4056  :  MMMMLVI\n",
      "4057  :  MMMMLVII\n",
      "4058  :  MMMMLVIII\n",
      "4059  :  MMMMLIX\n",
      "4060  :  MMMMLX\n",
      "4061  :  MMMMLXI\n",
      "4062  :  MMMMLXII\n",
      "4063  :  MMMMLXIII\n",
      "4064  :  MMMMLXIV\n",
      "4065  :  MMMMLXV\n",
      "4066  :  MMMMLXVI\n",
      "4067  :  MMMMLXVII\n",
      "4068  :  MMMMLXVIII\n",
      "4069  :  MMMMLXIX\n",
      "4070  :  MMMMLXX\n",
      "4071  :  MMMMLXXI\n",
      "4072  :  MMMMLXXII\n",
      "4073  :  MMMMLXXIII\n",
      "4074  :  MMMMLXXIV\n",
      "4075  :  MMMMLXXV\n",
      "4076  :  MMMMLXXVI\n",
      "4077  :  MMMMLXXVII\n",
      "4078  :  MMMMLXXVIII\n",
      "4079  :  MMMMLXXIX\n",
      "4080  :  MMMMLXXX\n",
      "4081  :  MMMMLXXXI\n",
      "4082  :  MMMMLXXXII\n",
      "4083  :  MMMMLXXXIII\n",
      "4084  :  MMMMLXXXIV\n",
      "4085  :  MMMMLXXXV\n",
      "4086  :  MMMMLXXXVI\n",
      "4087  :  MMMMLXXXVII\n",
      "4088  :  MMMMLXXXVIII\n",
      "4089  :  MMMMLXXXIX\n",
      "4090  :  MMMMXC\n",
      "4091  :  MMMMXCI\n",
      "4092  :  MMMMXCII\n",
      "4093  :  MMMMXCIII\n",
      "4094  :  MMMMXCIV\n",
      "4095  :  MMMMXCV\n",
      "4096  :  MMMMXCVI\n",
      "4097  :  MMMMXCVII\n",
      "4098  :  MMMMXCVIII\n",
      "4099  :  MMMMXCIX\n",
      "4100  :  MMMMC\n",
      "4101  :  MMMMCI\n",
      "4102  :  MMMMCII\n",
      "4103  :  MMMMCIII\n",
      "4104  :  MMMMCIV\n",
      "4105  :  MMMMCV\n",
      "4106  :  MMMMCVI\n",
      "4107  :  MMMMCVII\n",
      "4108  :  MMMMCVIII\n",
      "4109  :  MMMMCIX\n",
      "4110  :  MMMMCX\n",
      "4111  :  MMMMCXI\n",
      "4112  :  MMMMCXII\n",
      "4113  :  MMMMCXIII\n",
      "4114  :  MMMMCXIV\n",
      "4115  :  MMMMCXV\n",
      "4116  :  MMMMCXVI\n",
      "4117  :  MMMMCXVII\n",
      "4118  :  MMMMCXVIII\n",
      "4119  :  MMMMCXIX\n",
      "4120  :  MMMMCXX\n",
      "4121  :  MMMMCXXI\n",
      "4122  :  MMMMCXXII\n",
      "4123  :  MMMMCXXIII\n",
      "4124  :  MMMMCXXIV\n",
      "4125  :  MMMMCXXV\n",
      "4126  :  MMMMCXXVI\n",
      "4127  :  MMMMCXXVII\n",
      "4128  :  MMMMCXXVIII\n",
      "4129  :  MMMMCXXIX\n",
      "4130  :  MMMMCXXX\n",
      "4131  :  MMMMCXXXI\n",
      "4132  :  MMMMCXXXII\n",
      "4133  :  MMMMCXXXIII\n",
      "4134  :  MMMMCXXXIV\n",
      "4135  :  MMMMCXXXV\n",
      "4136  :  MMMMCXXXVI\n",
      "4137  :  MMMMCXXXVII\n",
      "4138  :  MMMMCXXXVIII\n",
      "4139  :  MMMMCXXXIX\n",
      "4140  :  MMMMCXL\n",
      "4141  :  MMMMCXLI\n",
      "4142  :  MMMMCXLII\n",
      "4143  :  MMMMCXLIII\n",
      "4144  :  MMMMCXLIV\n",
      "4145  :  MMMMCXLV\n",
      "4146  :  MMMMCXLVI\n",
      "4147  :  MMMMCXLVII\n",
      "4148  :  MMMMCXLVIII\n",
      "4149  :  MMMMCXLIX\n",
      "4150  :  MMMMCL\n",
      "4151  :  MMMMCLI\n",
      "4152  :  MMMMCLII\n",
      "4153  :  MMMMCLIII\n",
      "4154  :  MMMMCLIV\n",
      "4155  :  MMMMCLV\n",
      "4156  :  MMMMCLVI\n",
      "4157  :  MMMMCLVII\n",
      "4158  :  MMMMCLVIII\n",
      "4159  :  MMMMCLIX\n",
      "4160  :  MMMMCLX\n",
      "4161  :  MMMMCLXI\n",
      "4162  :  MMMMCLXII\n",
      "4163  :  MMMMCLXIII\n",
      "4164  :  MMMMCLXIV\n",
      "4165  :  MMMMCLXV\n",
      "4166  :  MMMMCLXVI\n",
      "4167  :  MMMMCLXVII\n",
      "4168  :  MMMMCLXVIII\n",
      "4169  :  MMMMCLXIX\n",
      "4170  :  MMMMCLXX\n",
      "4171  :  MMMMCLXXI\n",
      "4172  :  MMMMCLXXII\n",
      "4173  :  MMMMCLXXIII\n",
      "4174  :  MMMMCLXXIV\n",
      "4175  :  MMMMCLXXV\n",
      "4176  :  MMMMCLXXVI\n",
      "4177  :  MMMMCLXXVII\n",
      "4178  :  MMMMCLXXVIII\n",
      "4179  :  MMMMCLXXIX\n",
      "4180  :  MMMMCLXXX\n",
      "4181  :  MMMMCLXXXI\n",
      "4182  :  MMMMCLXXXII\n",
      "4183  :  MMMMCLXXXIII\n",
      "4184  :  MMMMCLXXXIV\n",
      "4185  :  MMMMCLXXXV\n",
      "4186  :  MMMMCLXXXVI\n",
      "4187  :  MMMMCLXXXVII\n",
      "4188  :  MMMMCLXXXVIII\n",
      "4189  :  MMMMCLXXXIX\n",
      "4190  :  MMMMCXC\n",
      "4191  :  MMMMCXCI\n",
      "4192  :  MMMMCXCII\n",
      "4193  :  MMMMCXCIII\n",
      "4194  :  MMMMCXCIV\n",
      "4195  :  MMMMCXCV\n",
      "4196  :  MMMMCXCVI\n",
      "4197  :  MMMMCXCVII\n",
      "4198  :  MMMMCXCVIII\n",
      "4199  :  MMMMCXCIX\n",
      "4200  :  MMMMCC\n",
      "4201  :  MMMMCCI\n",
      "4202  :  MMMMCCII\n",
      "4203  :  MMMMCCIII\n",
      "4204  :  MMMMCCIV\n",
      "4205  :  MMMMCCV\n",
      "4206  :  MMMMCCVI\n",
      "4207  :  MMMMCCVII\n",
      "4208  :  MMMMCCVIII\n",
      "4209  :  MMMMCCIX\n",
      "4210  :  MMMMCCX\n",
      "4211  :  MMMMCCXI\n",
      "4212  :  MMMMCCXII\n",
      "4213  :  MMMMCCXIII\n",
      "4214  :  MMMMCCXIV\n",
      "4215  :  MMMMCCXV\n",
      "4216  :  MMMMCCXVI\n",
      "4217  :  MMMMCCXVII\n",
      "4218  :  MMMMCCXVIII\n",
      "4219  :  MMMMCCXIX\n",
      "4220  :  MMMMCCXX\n",
      "4221  :  MMMMCCXXI\n",
      "4222  :  MMMMCCXXII\n",
      "4223  :  MMMMCCXXIII\n",
      "4224  :  MMMMCCXXIV\n",
      "4225  :  MMMMCCXXV\n",
      "4226  :  MMMMCCXXVI\n",
      "4227  :  MMMMCCXXVII\n",
      "4228  :  MMMMCCXXVIII\n",
      "4229  :  MMMMCCXXIX\n",
      "4230  :  MMMMCCXXX\n",
      "4231  :  MMMMCCXXXI\n",
      "4232  :  MMMMCCXXXII\n",
      "4233  :  MMMMCCXXXIII\n",
      "4234  :  MMMMCCXXXIV\n",
      "4235  :  MMMMCCXXXV\n",
      "4236  :  MMMMCCXXXVI\n",
      "4237  :  MMMMCCXXXVII\n",
      "4238  :  MMMMCCXXXVIII\n",
      "4239  :  MMMMCCXXXIX\n",
      "4240  :  MMMMCCXL\n",
      "4241  :  MMMMCCXLI\n",
      "4242  :  MMMMCCXLII\n",
      "4243  :  MMMMCCXLIII\n",
      "4244  :  MMMMCCXLIV\n",
      "4245  :  MMMMCCXLV\n",
      "4246  :  MMMMCCXLVI\n",
      "4247  :  MMMMCCXLVII\n",
      "4248  :  MMMMCCXLVIII\n",
      "4249  :  MMMMCCXLIX\n",
      "4250  :  MMMMCCL\n",
      "4251  :  MMMMCCLI\n",
      "4252  :  MMMMCCLII\n",
      "4253  :  MMMMCCLIII\n",
      "4254  :  MMMMCCLIV\n",
      "4255  :  MMMMCCLV\n",
      "4256  :  MMMMCCLVI\n",
      "4257  :  MMMMCCLVII\n",
      "4258  :  MMMMCCLVIII\n",
      "4259  :  MMMMCCLIX\n",
      "4260  :  MMMMCCLX\n",
      "4261  :  MMMMCCLXI\n",
      "4262  :  MMMMCCLXII\n",
      "4263  :  MMMMCCLXIII\n",
      "4264  :  MMMMCCLXIV\n",
      "4265  :  MMMMCCLXV\n",
      "4266  :  MMMMCCLXVI\n",
      "4267  :  MMMMCCLXVII\n",
      "4268  :  MMMMCCLXVIII\n",
      "4269  :  MMMMCCLXIX\n",
      "4270  :  MMMMCCLXX\n",
      "4271  :  MMMMCCLXXI\n",
      "4272  :  MMMMCCLXXII\n",
      "4273  :  MMMMCCLXXIII\n",
      "4274  :  MMMMCCLXXIV\n",
      "4275  :  MMMMCCLXXV\n",
      "4276  :  MMMMCCLXXVI\n",
      "4277  :  MMMMCCLXXVII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4278  :  MMMMCCLXXVIII\n",
      "4279  :  MMMMCCLXXIX\n",
      "4280  :  MMMMCCLXXX\n",
      "4281  :  MMMMCCLXXXI\n",
      "4282  :  MMMMCCLXXXII\n",
      "4283  :  MMMMCCLXXXIII\n",
      "4284  :  MMMMCCLXXXIV\n",
      "4285  :  MMMMCCLXXXV\n",
      "4286  :  MMMMCCLXXXVI\n",
      "4287  :  MMMMCCLXXXVII\n",
      "4288  :  MMMMCCLXXXVIII\n",
      "4289  :  MMMMCCLXXXIX\n",
      "4290  :  MMMMCCXC\n",
      "4291  :  MMMMCCXCI\n",
      "4292  :  MMMMCCXCII\n",
      "4293  :  MMMMCCXCIII\n",
      "4294  :  MMMMCCXCIV\n",
      "4295  :  MMMMCCXCV\n",
      "4296  :  MMMMCCXCVI\n",
      "4297  :  MMMMCCXCVII\n",
      "4298  :  MMMMCCXCVIII\n",
      "4299  :  MMMMCCXCIX\n",
      "4300  :  MMMMCCC\n",
      "4301  :  MMMMCCCI\n",
      "4302  :  MMMMCCCII\n",
      "4303  :  MMMMCCCIII\n",
      "4304  :  MMMMCCCIV\n",
      "4305  :  MMMMCCCV\n",
      "4306  :  MMMMCCCVI\n",
      "4307  :  MMMMCCCVII\n",
      "4308  :  MMMMCCCVIII\n",
      "4309  :  MMMMCCCIX\n",
      "4310  :  MMMMCCCX\n",
      "4311  :  MMMMCCCXI\n",
      "4312  :  MMMMCCCXII\n",
      "4313  :  MMMMCCCXIII\n",
      "4314  :  MMMMCCCXIV\n",
      "4315  :  MMMMCCCXV\n",
      "4316  :  MMMMCCCXVI\n",
      "4317  :  MMMMCCCXVII\n",
      "4318  :  MMMMCCCXVIII\n",
      "4319  :  MMMMCCCXIX\n",
      "4320  :  MMMMCCCXX\n",
      "4321  :  MMMMCCCXXI\n",
      "4322  :  MMMMCCCXXII\n",
      "4323  :  MMMMCCCXXIII\n",
      "4324  :  MMMMCCCXXIV\n",
      "4325  :  MMMMCCCXXV\n",
      "4326  :  MMMMCCCXXVI\n",
      "4327  :  MMMMCCCXXVII\n",
      "4328  :  MMMMCCCXXVIII\n",
      "4329  :  MMMMCCCXXIX\n",
      "4330  :  MMMMCCCXXX\n",
      "4331  :  MMMMCCCXXXI\n",
      "4332  :  MMMMCCCXXXII\n",
      "4333  :  MMMMCCCXXXIII\n",
      "4334  :  MMMMCCCXXXIV\n",
      "4335  :  MMMMCCCXXXV\n",
      "4336  :  MMMMCCCXXXVI\n",
      "4337  :  MMMMCCCXXXVII\n",
      "4338  :  MMMMCCCXXXVIII\n",
      "4339  :  MMMMCCCXXXIX\n",
      "4340  :  MMMMCCCXL\n",
      "4341  :  MMMMCCCXLI\n",
      "4342  :  MMMMCCCXLII\n",
      "4343  :  MMMMCCCXLIII\n",
      "4344  :  MMMMCCCXLIV\n",
      "4345  :  MMMMCCCXLV\n",
      "4346  :  MMMMCCCXLVI\n",
      "4347  :  MMMMCCCXLVII\n",
      "4348  :  MMMMCCCXLVIII\n",
      "4349  :  MMMMCCCXLIX\n",
      "4350  :  MMMMCCCL\n",
      "4351  :  MMMMCCCLI\n",
      "4352  :  MMMMCCCLII\n",
      "4353  :  MMMMCCCLIII\n",
      "4354  :  MMMMCCCLIV\n",
      "4355  :  MMMMCCCLV\n",
      "4356  :  MMMMCCCLVI\n",
      "4357  :  MMMMCCCLVII\n",
      "4358  :  MMMMCCCLVIII\n",
      "4359  :  MMMMCCCLIX\n",
      "4360  :  MMMMCCCLX\n",
      "4361  :  MMMMCCCLXI\n",
      "4362  :  MMMMCCCLXII\n",
      "4363  :  MMMMCCCLXIII\n",
      "4364  :  MMMMCCCLXIV\n",
      "4365  :  MMMMCCCLXV\n",
      "4366  :  MMMMCCCLXVI\n",
      "4367  :  MMMMCCCLXVII\n",
      "4368  :  MMMMCCCLXVIII\n",
      "4369  :  MMMMCCCLXIX\n",
      "4370  :  MMMMCCCLXX\n",
      "4371  :  MMMMCCCLXXI\n",
      "4372  :  MMMMCCCLXXII\n",
      "4373  :  MMMMCCCLXXIII\n",
      "4374  :  MMMMCCCLXXIV\n",
      "4375  :  MMMMCCCLXXV\n",
      "4376  :  MMMMCCCLXXVI\n",
      "4377  :  MMMMCCCLXXVII\n",
      "4378  :  MMMMCCCLXXVIII\n",
      "4379  :  MMMMCCCLXXIX\n",
      "4380  :  MMMMCCCLXXX\n",
      "4381  :  MMMMCCCLXXXI\n",
      "4382  :  MMMMCCCLXXXII\n",
      "4383  :  MMMMCCCLXXXIII\n",
      "4384  :  MMMMCCCLXXXIV\n",
      "4385  :  MMMMCCCLXXXV\n",
      "4386  :  MMMMCCCLXXXVI\n",
      "4387  :  MMMMCCCLXXXVII\n",
      "4388  :  MMMMCCCLXXXVIII\n",
      "4389  :  MMMMCCCLXXXIX\n",
      "4390  :  MMMMCCCXC\n",
      "4391  :  MMMMCCCXCI\n",
      "4392  :  MMMMCCCXCII\n",
      "4393  :  MMMMCCCXCIII\n",
      "4394  :  MMMMCCCXCIV\n",
      "4395  :  MMMMCCCXCV\n",
      "4396  :  MMMMCCCXCVI\n",
      "4397  :  MMMMCCCXCVII\n",
      "4398  :  MMMMCCCXCVIII\n",
      "4399  :  MMMMCCCXCIX\n",
      "4400  :  MMMMCD\n",
      "4401  :  MMMMCDI\n",
      "4402  :  MMMMCDII\n",
      "4403  :  MMMMCDIII\n",
      "4404  :  MMMMCDIV\n",
      "4405  :  MMMMCDV\n",
      "4406  :  MMMMCDVI\n",
      "4407  :  MMMMCDVII\n",
      "4408  :  MMMMCDVIII\n",
      "4409  :  MMMMCDIX\n",
      "4410  :  MMMMCDX\n",
      "4411  :  MMMMCDXI\n",
      "4412  :  MMMMCDXII\n",
      "4413  :  MMMMCDXIII\n",
      "4414  :  MMMMCDXIV\n",
      "4415  :  MMMMCDXV\n",
      "4416  :  MMMMCDXVI\n",
      "4417  :  MMMMCDXVII\n",
      "4418  :  MMMMCDXVIII\n",
      "4419  :  MMMMCDXIX\n",
      "4420  :  MMMMCDXX\n",
      "4421  :  MMMMCDXXI\n",
      "4422  :  MMMMCDXXII\n",
      "4423  :  MMMMCDXXIII\n",
      "4424  :  MMMMCDXXIV\n",
      "4425  :  MMMMCDXXV\n",
      "4426  :  MMMMCDXXVI\n",
      "4427  :  MMMMCDXXVII\n",
      "4428  :  MMMMCDXXVIII\n",
      "4429  :  MMMMCDXXIX\n",
      "4430  :  MMMMCDXXX\n",
      "4431  :  MMMMCDXXXI\n",
      "4432  :  MMMMCDXXXII\n",
      "4433  :  MMMMCDXXXIII\n",
      "4434  :  MMMMCDXXXIV\n",
      "4435  :  MMMMCDXXXV\n",
      "4436  :  MMMMCDXXXVI\n",
      "4437  :  MMMMCDXXXVII\n",
      "4438  :  MMMMCDXXXVIII\n",
      "4439  :  MMMMCDXXXIX\n",
      "4440  :  MMMMCDXL\n",
      "4441  :  MMMMCDXLI\n",
      "4442  :  MMMMCDXLII\n",
      "4443  :  MMMMCDXLIII\n",
      "4444  :  MMMMCDXLIV\n",
      "4445  :  MMMMCDXLV\n",
      "4446  :  MMMMCDXLVI\n",
      "4447  :  MMMMCDXLVII\n",
      "4448  :  MMMMCDXLVIII\n",
      "4449  :  MMMMCDXLIX\n",
      "4450  :  MMMMCDL\n",
      "4451  :  MMMMCDLI\n",
      "4452  :  MMMMCDLII\n",
      "4453  :  MMMMCDLIII\n",
      "4454  :  MMMMCDLIV\n",
      "4455  :  MMMMCDLV\n",
      "4456  :  MMMMCDLVI\n",
      "4457  :  MMMMCDLVII\n",
      "4458  :  MMMMCDLVIII\n",
      "4459  :  MMMMCDLIX\n",
      "4460  :  MMMMCDLX\n",
      "4461  :  MMMMCDLXI\n",
      "4462  :  MMMMCDLXII\n",
      "4463  :  MMMMCDLXIII\n",
      "4464  :  MMMMCDLXIV\n",
      "4465  :  MMMMCDLXV\n",
      "4466  :  MMMMCDLXVI\n",
      "4467  :  MMMMCDLXVII\n",
      "4468  :  MMMMCDLXVIII\n",
      "4469  :  MMMMCDLXIX\n",
      "4470  :  MMMMCDLXX\n",
      "4471  :  MMMMCDLXXI\n",
      "4472  :  MMMMCDLXXII\n",
      "4473  :  MMMMCDLXXIII\n",
      "4474  :  MMMMCDLXXIV\n",
      "4475  :  MMMMCDLXXV\n",
      "4476  :  MMMMCDLXXVI\n",
      "4477  :  MMMMCDLXXVII\n",
      "4478  :  MMMMCDLXXVIII\n",
      "4479  :  MMMMCDLXXIX\n",
      "4480  :  MMMMCDLXXX\n",
      "4481  :  MMMMCDLXXXI\n",
      "4482  :  MMMMCDLXXXII\n",
      "4483  :  MMMMCDLXXXIII\n",
      "4484  :  MMMMCDLXXXIV\n",
      "4485  :  MMMMCDLXXXV\n",
      "4486  :  MMMMCDLXXXVI\n",
      "4487  :  MMMMCDLXXXVII\n",
      "4488  :  MMMMCDLXXXVIII\n",
      "4489  :  MMMMCDLXXXIX\n",
      "4490  :  MMMMCDXC\n",
      "4491  :  MMMMCDXCI\n",
      "4492  :  MMMMCDXCII\n",
      "4493  :  MMMMCDXCIII\n",
      "4494  :  MMMMCDXCIV\n",
      "4495  :  MMMMCDXCV\n",
      "4496  :  MMMMCDXCVI\n",
      "4497  :  MMMMCDXCVII\n",
      "4498  :  MMMMCDXCVIII\n",
      "4499  :  MMMMCDXCIX\n",
      "4500  :  MMMMD\n",
      "4501  :  MMMMDI\n",
      "4502  :  MMMMDII\n",
      "4503  :  MMMMDIII\n",
      "4504  :  MMMMDIV\n",
      "4505  :  MMMMDV\n",
      "4506  :  MMMMDVI\n",
      "4507  :  MMMMDVII\n",
      "4508  :  MMMMDVIII\n",
      "4509  :  MMMMDIX\n",
      "4510  :  MMMMDX\n",
      "4511  :  MMMMDXI\n",
      "4512  :  MMMMDXII\n",
      "4513  :  MMMMDXIII\n",
      "4514  :  MMMMDXIV\n",
      "4515  :  MMMMDXV\n",
      "4516  :  MMMMDXVI\n",
      "4517  :  MMMMDXVII\n",
      "4518  :  MMMMDXVIII\n",
      "4519  :  MMMMDXIX\n",
      "4520  :  MMMMDXX\n",
      "4521  :  MMMMDXXI\n",
      "4522  :  MMMMDXXII\n",
      "4523  :  MMMMDXXIII\n",
      "4524  :  MMMMDXXIV\n",
      "4525  :  MMMMDXXV\n",
      "4526  :  MMMMDXXVI\n",
      "4527  :  MMMMDXXVII\n",
      "4528  :  MMMMDXXVIII\n",
      "4529  :  MMMMDXXIX\n",
      "4530  :  MMMMDXXX\n",
      "4531  :  MMMMDXXXI\n",
      "4532  :  MMMMDXXXII\n",
      "4533  :  MMMMDXXXIII\n",
      "4534  :  MMMMDXXXIV\n",
      "4535  :  MMMMDXXXV\n",
      "4536  :  MMMMDXXXVI\n",
      "4537  :  MMMMDXXXVII\n",
      "4538  :  MMMMDXXXVIII\n",
      "4539  :  MMMMDXXXIX\n",
      "4540  :  MMMMDXL\n",
      "4541  :  MMMMDXLI\n",
      "4542  :  MMMMDXLII\n",
      "4543  :  MMMMDXLIII\n",
      "4544  :  MMMMDXLIV\n",
      "4545  :  MMMMDXLV\n",
      "4546  :  MMMMDXLVI\n",
      "4547  :  MMMMDXLVII\n",
      "4548  :  MMMMDXLVIII\n",
      "4549  :  MMMMDXLIX\n",
      "4550  :  MMMMDL\n",
      "4551  :  MMMMDLI\n",
      "4552  :  MMMMDLII\n",
      "4553  :  MMMMDLIII\n",
      "4554  :  MMMMDLIV\n",
      "4555  :  MMMMDLV\n",
      "4556  :  MMMMDLVI\n",
      "4557  :  MMMMDLVII\n",
      "4558  :  MMMMDLVIII\n",
      "4559  :  MMMMDLIX\n",
      "4560  :  MMMMDLX\n",
      "4561  :  MMMMDLXI\n",
      "4562  :  MMMMDLXII\n",
      "4563  :  MMMMDLXIII\n",
      "4564  :  MMMMDLXIV\n",
      "4565  :  MMMMDLXV\n",
      "4566  :  MMMMDLXVI\n",
      "4567  :  MMMMDLXVII\n",
      "4568  :  MMMMDLXVIII\n",
      "4569  :  MMMMDLXIX\n",
      "4570  :  MMMMDLXX\n",
      "4571  :  MMMMDLXXI\n",
      "4572  :  MMMMDLXXII\n",
      "4573  :  MMMMDLXXIII\n",
      "4574  :  MMMMDLXXIV\n",
      "4575  :  MMMMDLXXV\n",
      "4576  :  MMMMDLXXVI\n",
      "4577  :  MMMMDLXXVII\n",
      "4578  :  MMMMDLXXVIII\n",
      "4579  :  MMMMDLXXIX\n",
      "4580  :  MMMMDLXXX\n",
      "4581  :  MMMMDLXXXI\n",
      "4582  :  MMMMDLXXXII\n",
      "4583  :  MMMMDLXXXIII\n",
      "4584  :  MMMMDLXXXIV\n",
      "4585  :  MMMMDLXXXV\n",
      "4586  :  MMMMDLXXXVI\n",
      "4587  :  MMMMDLXXXVII\n",
      "4588  :  MMMMDLXXXVIII\n",
      "4589  :  MMMMDLXXXIX\n",
      "4590  :  MMMMDXC\n",
      "4591  :  MMMMDXCI\n",
      "4592  :  MMMMDXCII\n",
      "4593  :  MMMMDXCIII\n",
      "4594  :  MMMMDXCIV\n",
      "4595  :  MMMMDXCV\n",
      "4596  :  MMMMDXCVI\n",
      "4597  :  MMMMDXCVII\n",
      "4598  :  MMMMDXCVIII\n",
      "4599  :  MMMMDXCIX\n",
      "4600  :  MMMMDC\n",
      "4601  :  MMMMDCI\n",
      "4602  :  MMMMDCII\n",
      "4603  :  MMMMDCIII\n",
      "4604  :  MMMMDCIV\n",
      "4605  :  MMMMDCV\n",
      "4606  :  MMMMDCVI\n",
      "4607  :  MMMMDCVII\n",
      "4608  :  MMMMDCVIII\n",
      "4609  :  MMMMDCIX\n",
      "4610  :  MMMMDCX\n",
      "4611  :  MMMMDCXI\n",
      "4612  :  MMMMDCXII\n",
      "4613  :  MMMMDCXIII\n",
      "4614  :  MMMMDCXIV\n",
      "4615  :  MMMMDCXV\n",
      "4616  :  MMMMDCXVI\n",
      "4617  :  MMMMDCXVII\n",
      "4618  :  MMMMDCXVIII\n",
      "4619  :  MMMMDCXIX\n",
      "4620  :  MMMMDCXX\n",
      "4621  :  MMMMDCXXI\n",
      "4622  :  MMMMDCXXII\n",
      "4623  :  MMMMDCXXIII\n",
      "4624  :  MMMMDCXXIV\n",
      "4625  :  MMMMDCXXV\n",
      "4626  :  MMMMDCXXVI\n",
      "4627  :  MMMMDCXXVII\n",
      "4628  :  MMMMDCXXVIII\n",
      "4629  :  MMMMDCXXIX\n",
      "4630  :  MMMMDCXXX\n",
      "4631  :  MMMMDCXXXI\n",
      "4632  :  MMMMDCXXXII\n",
      "4633  :  MMMMDCXXXIII\n",
      "4634  :  MMMMDCXXXIV\n",
      "4635  :  MMMMDCXXXV\n",
      "4636  :  MMMMDCXXXVI\n",
      "4637  :  MMMMDCXXXVII\n",
      "4638  :  MMMMDCXXXVIII\n",
      "4639  :  MMMMDCXXXIX\n",
      "4640  :  MMMMDCXL\n",
      "4641  :  MMMMDCXLI\n",
      "4642  :  MMMMDCXLII\n",
      "4643  :  MMMMDCXLIII\n",
      "4644  :  MMMMDCXLIV\n",
      "4645  :  MMMMDCXLV\n",
      "4646  :  MMMMDCXLVI\n",
      "4647  :  MMMMDCXLVII\n",
      "4648  :  MMMMDCXLVIII\n",
      "4649  :  MMMMDCXLIX\n",
      "4650  :  MMMMDCL\n",
      "4651  :  MMMMDCLI\n",
      "4652  :  MMMMDCLII\n",
      "4653  :  MMMMDCLIII\n",
      "4654  :  MMMMDCLIV\n",
      "4655  :  MMMMDCLV\n",
      "4656  :  MMMMDCLVI\n",
      "4657  :  MMMMDCLVII\n",
      "4658  :  MMMMDCLVIII\n",
      "4659  :  MMMMDCLIX\n",
      "4660  :  MMMMDCLX\n",
      "4661  :  MMMMDCLXI\n",
      "4662  :  MMMMDCLXII\n",
      "4663  :  MMMMDCLXIII\n",
      "4664  :  MMMMDCLXIV\n",
      "4665  :  MMMMDCLXV\n",
      "4666  :  MMMMDCLXVI\n",
      "4667  :  MMMMDCLXVII\n",
      "4668  :  MMMMDCLXVIII\n",
      "4669  :  MMMMDCLXIX\n",
      "4670  :  MMMMDCLXX\n",
      "4671  :  MMMMDCLXXI\n",
      "4672  :  MMMMDCLXXII\n",
      "4673  :  MMMMDCLXXIII\n",
      "4674  :  MMMMDCLXXIV\n",
      "4675  :  MMMMDCLXXV\n",
      "4676  :  MMMMDCLXXVI\n",
      "4677  :  MMMMDCLXXVII\n",
      "4678  :  MMMMDCLXXVIII\n",
      "4679  :  MMMMDCLXXIX\n",
      "4680  :  MMMMDCLXXX\n",
      "4681  :  MMMMDCLXXXI\n",
      "4682  :  MMMMDCLXXXII\n",
      "4683  :  MMMMDCLXXXIII\n",
      "4684  :  MMMMDCLXXXIV\n",
      "4685  :  MMMMDCLXXXV\n",
      "4686  :  MMMMDCLXXXVI\n",
      "4687  :  MMMMDCLXXXVII\n",
      "4688  :  MMMMDCLXXXVIII\n",
      "4689  :  MMMMDCLXXXIX\n",
      "4690  :  MMMMDCXC\n",
      "4691  :  MMMMDCXCI\n",
      "4692  :  MMMMDCXCII\n",
      "4693  :  MMMMDCXCIII\n",
      "4694  :  MMMMDCXCIV\n",
      "4695  :  MMMMDCXCV\n",
      "4696  :  MMMMDCXCVI\n",
      "4697  :  MMMMDCXCVII\n",
      "4698  :  MMMMDCXCVIII\n",
      "4699  :  MMMMDCXCIX\n",
      "4700  :  MMMMDCC\n",
      "4701  :  MMMMDCCI\n",
      "4702  :  MMMMDCCII\n",
      "4703  :  MMMMDCCIII\n",
      "4704  :  MMMMDCCIV\n",
      "4705  :  MMMMDCCV\n",
      "4706  :  MMMMDCCVI\n",
      "4707  :  MMMMDCCVII\n",
      "4708  :  MMMMDCCVIII\n",
      "4709  :  MMMMDCCIX\n",
      "4710  :  MMMMDCCX\n",
      "4711  :  MMMMDCCXI\n",
      "4712  :  MMMMDCCXII\n",
      "4713  :  MMMMDCCXIII\n",
      "4714  :  MMMMDCCXIV\n",
      "4715  :  MMMMDCCXV\n",
      "4716  :  MMMMDCCXVI\n",
      "4717  :  MMMMDCCXVII\n",
      "4718  :  MMMMDCCXVIII\n",
      "4719  :  MMMMDCCXIX\n",
      "4720  :  MMMMDCCXX\n",
      "4721  :  MMMMDCCXXI\n",
      "4722  :  MMMMDCCXXII\n",
      "4723  :  MMMMDCCXXIII\n",
      "4724  :  MMMMDCCXXIV\n",
      "4725  :  MMMMDCCXXV\n",
      "4726  :  MMMMDCCXXVI\n",
      "4727  :  MMMMDCCXXVII\n",
      "4728  :  MMMMDCCXXVIII\n",
      "4729  :  MMMMDCCXXIX\n",
      "4730  :  MMMMDCCXXX\n",
      "4731  :  MMMMDCCXXXI\n",
      "4732  :  MMMMDCCXXXII\n",
      "4733  :  MMMMDCCXXXIII\n",
      "4734  :  MMMMDCCXXXIV\n",
      "4735  :  MMMMDCCXXXV\n",
      "4736  :  MMMMDCCXXXVI\n",
      "4737  :  MMMMDCCXXXVII\n",
      "4738  :  MMMMDCCXXXVIII\n",
      "4739  :  MMMMDCCXXXIX\n",
      "4740  :  MMMMDCCXL\n",
      "4741  :  MMMMDCCXLI\n",
      "4742  :  MMMMDCCXLII\n",
      "4743  :  MMMMDCCXLIII\n",
      "4744  :  MMMMDCCXLIV\n",
      "4745  :  MMMMDCCXLV\n",
      "4746  :  MMMMDCCXLVI\n",
      "4747  :  MMMMDCCXLVII\n",
      "4748  :  MMMMDCCXLVIII\n",
      "4749  :  MMMMDCCXLIX\n",
      "4750  :  MMMMDCCL\n",
      "4751  :  MMMMDCCLI\n",
      "4752  :  MMMMDCCLII\n",
      "4753  :  MMMMDCCLIII\n",
      "4754  :  MMMMDCCLIV\n",
      "4755  :  MMMMDCCLV\n",
      "4756  :  MMMMDCCLVI\n",
      "4757  :  MMMMDCCLVII\n",
      "4758  :  MMMMDCCLVIII\n",
      "4759  :  MMMMDCCLIX\n",
      "4760  :  MMMMDCCLX\n",
      "4761  :  MMMMDCCLXI\n",
      "4762  :  MMMMDCCLXII\n",
      "4763  :  MMMMDCCLXIII\n",
      "4764  :  MMMMDCCLXIV\n",
      "4765  :  MMMMDCCLXV\n",
      "4766  :  MMMMDCCLXVI\n",
      "4767  :  MMMMDCCLXVII\n",
      "4768  :  MMMMDCCLXVIII\n",
      "4769  :  MMMMDCCLXIX\n",
      "4770  :  MMMMDCCLXX\n",
      "4771  :  MMMMDCCLXXI\n",
      "4772  :  MMMMDCCLXXII\n",
      "4773  :  MMMMDCCLXXIII\n",
      "4774  :  MMMMDCCLXXIV\n",
      "4775  :  MMMMDCCLXXV\n",
      "4776  :  MMMMDCCLXXVI\n",
      "4777  :  MMMMDCCLXXVII\n",
      "4778  :  MMMMDCCLXXVIII\n",
      "4779  :  MMMMDCCLXXIX\n",
      "4780  :  MMMMDCCLXXX\n",
      "4781  :  MMMMDCCLXXXI\n",
      "4782  :  MMMMDCCLXXXII\n",
      "4783  :  MMMMDCCLXXXIII\n",
      "4784  :  MMMMDCCLXXXIV\n",
      "4785  :  MMMMDCCLXXXV\n",
      "4786  :  MMMMDCCLXXXVI\n",
      "4787  :  MMMMDCCLXXXVII\n",
      "4788  :  MMMMDCCLXXXVIII\n",
      "4789  :  MMMMDCCLXXXIX\n",
      "4790  :  MMMMDCCXC\n",
      "4791  :  MMMMDCCXCI\n",
      "4792  :  MMMMDCCXCII\n",
      "4793  :  MMMMDCCXCIII\n",
      "4794  :  MMMMDCCXCIV\n",
      "4795  :  MMMMDCCXCV\n",
      "4796  :  MMMMDCCXCVI\n",
      "4797  :  MMMMDCCXCVII\n",
      "4798  :  MMMMDCCXCVIII\n",
      "4799  :  MMMMDCCXCIX\n",
      "4800  :  MMMMDCCC\n",
      "4801  :  MMMMDCCCI\n",
      "4802  :  MMMMDCCCII\n",
      "4803  :  MMMMDCCCIII\n",
      "4804  :  MMMMDCCCIV\n",
      "4805  :  MMMMDCCCV\n",
      "4806  :  MMMMDCCCVI\n",
      "4807  :  MMMMDCCCVII\n",
      "4808  :  MMMMDCCCVIII\n",
      "4809  :  MMMMDCCCIX\n",
      "4810  :  MMMMDCCCX\n",
      "4811  :  MMMMDCCCXI\n",
      "4812  :  MMMMDCCCXII\n",
      "4813  :  MMMMDCCCXIII\n",
      "4814  :  MMMMDCCCXIV\n",
      "4815  :  MMMMDCCCXV\n",
      "4816  :  MMMMDCCCXVI\n",
      "4817  :  MMMMDCCCXVII\n",
      "4818  :  MMMMDCCCXVIII\n",
      "4819  :  MMMMDCCCXIX\n",
      "4820  :  MMMMDCCCXX\n",
      "4821  :  MMMMDCCCXXI\n",
      "4822  :  MMMMDCCCXXII\n",
      "4823  :  MMMMDCCCXXIII\n",
      "4824  :  MMMMDCCCXXIV\n",
      "4825  :  MMMMDCCCXXV\n",
      "4826  :  MMMMDCCCXXVI\n",
      "4827  :  MMMMDCCCXXVII\n",
      "4828  :  MMMMDCCCXXVIII\n",
      "4829  :  MMMMDCCCXXIX\n",
      "4830  :  MMMMDCCCXXX\n",
      "4831  :  MMMMDCCCXXXI\n",
      "4832  :  MMMMDCCCXXXII\n",
      "4833  :  MMMMDCCCXXXIII\n",
      "4834  :  MMMMDCCCXXXIV\n",
      "4835  :  MMMMDCCCXXXV\n",
      "4836  :  MMMMDCCCXXXVI\n",
      "4837  :  MMMMDCCCXXXVII\n",
      "4838  :  MMMMDCCCXXXVIII\n",
      "4839  :  MMMMDCCCXXXIX\n",
      "4840  :  MMMMDCCCXL\n",
      "4841  :  MMMMDCCCXLI\n",
      "4842  :  MMMMDCCCXLII\n",
      "4843  :  MMMMDCCCXLIII\n",
      "4844  :  MMMMDCCCXLIV\n",
      "4845  :  MMMMDCCCXLV\n",
      "4846  :  MMMMDCCCXLVI\n",
      "4847  :  MMMMDCCCXLVII\n",
      "4848  :  MMMMDCCCXLVIII\n",
      "4849  :  MMMMDCCCXLIX\n",
      "4850  :  MMMMDCCCL\n",
      "4851  :  MMMMDCCCLI\n",
      "4852  :  MMMMDCCCLII\n",
      "4853  :  MMMMDCCCLIII\n",
      "4854  :  MMMMDCCCLIV\n",
      "4855  :  MMMMDCCCLV\n",
      "4856  :  MMMMDCCCLVI\n",
      "4857  :  MMMMDCCCLVII\n",
      "4858  :  MMMMDCCCLVIII\n",
      "4859  :  MMMMDCCCLIX\n",
      "4860  :  MMMMDCCCLX\n",
      "4861  :  MMMMDCCCLXI\n",
      "4862  :  MMMMDCCCLXII\n",
      "4863  :  MMMMDCCCLXIII\n",
      "4864  :  MMMMDCCCLXIV\n",
      "4865  :  MMMMDCCCLXV\n",
      "4866  :  MMMMDCCCLXVI\n",
      "4867  :  MMMMDCCCLXVII\n",
      "4868  :  MMMMDCCCLXVIII\n",
      "4869  :  MMMMDCCCLXIX\n",
      "4870  :  MMMMDCCCLXX\n",
      "4871  :  MMMMDCCCLXXI\n",
      "4872  :  MMMMDCCCLXXII\n",
      "4873  :  MMMMDCCCLXXIII\n",
      "4874  :  MMMMDCCCLXXIV\n",
      "4875  :  MMMMDCCCLXXV\n",
      "4876  :  MMMMDCCCLXXVI\n",
      "4877  :  MMMMDCCCLXXVII\n",
      "4878  :  MMMMDCCCLXXVIII\n",
      "4879  :  MMMMDCCCLXXIX\n",
      "4880  :  MMMMDCCCLXXX\n",
      "4881  :  MMMMDCCCLXXXI\n",
      "4882  :  MMMMDCCCLXXXII\n",
      "4883  :  MMMMDCCCLXXXIII\n",
      "4884  :  MMMMDCCCLXXXIV\n",
      "4885  :  MMMMDCCCLXXXV\n",
      "4886  :  MMMMDCCCLXXXVI\n",
      "4887  :  MMMMDCCCLXXXVII\n",
      "4888  :  MMMMDCCCLXXXVIII\n",
      "4889  :  MMMMDCCCLXXXIX\n",
      "4890  :  MMMMDCCCXC\n",
      "4891  :  MMMMDCCCXCI\n",
      "4892  :  MMMMDCCCXCII\n",
      "4893  :  MMMMDCCCXCIII\n",
      "4894  :  MMMMDCCCXCIV\n",
      "4895  :  MMMMDCCCXCV\n",
      "4896  :  MMMMDCCCXCVI\n",
      "4897  :  MMMMDCCCXCVII\n",
      "4898  :  MMMMDCCCXCVIII\n",
      "4899  :  MMMMDCCCXCIX\n",
      "4900  :  MMMMCM\n",
      "4901  :  MMMMCMI\n",
      "4902  :  MMMMCMII\n",
      "4903  :  MMMMCMIII\n",
      "4904  :  MMMMCMIV\n",
      "4905  :  MMMMCMV\n",
      "4906  :  MMMMCMVI\n",
      "4907  :  MMMMCMVII\n",
      "4908  :  MMMMCMVIII\n",
      "4909  :  MMMMCMIX\n",
      "4910  :  MMMMCMX\n",
      "4911  :  MMMMCMXI\n",
      "4912  :  MMMMCMXII\n",
      "4913  :  MMMMCMXIII\n",
      "4914  :  MMMMCMXIV\n",
      "4915  :  MMMMCMXV\n",
      "4916  :  MMMMCMXVI\n",
      "4917  :  MMMMCMXVII\n",
      "4918  :  MMMMCMXVIII\n",
      "4919  :  MMMMCMXIX\n",
      "4920  :  MMMMCMXX\n",
      "4921  :  MMMMCMXXI\n",
      "4922  :  MMMMCMXXII\n",
      "4923  :  MMMMCMXXIII\n",
      "4924  :  MMMMCMXXIV\n",
      "4925  :  MMMMCMXXV\n",
      "4926  :  MMMMCMXXVI\n",
      "4927  :  MMMMCMXXVII\n",
      "4928  :  MMMMCMXXVIII\n",
      "4929  :  MMMMCMXXIX\n",
      "4930  :  MMMMCMXXX\n",
      "4931  :  MMMMCMXXXI\n",
      "4932  :  MMMMCMXXXII\n",
      "4933  :  MMMMCMXXXIII\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4934  :  MMMMCMXXXIV\n",
      "4935  :  MMMMCMXXXV\n",
      "4936  :  MMMMCMXXXVI\n",
      "4937  :  MMMMCMXXXVII\n",
      "4938  :  MMMMCMXXXVIII\n",
      "4939  :  MMMMCMXXXIX\n",
      "4940  :  MMMMCMXL\n",
      "4941  :  MMMMCMXLI\n",
      "4942  :  MMMMCMXLII\n",
      "4943  :  MMMMCMXLIII\n",
      "4944  :  MMMMCMXLIV\n",
      "4945  :  MMMMCMXLV\n",
      "4946  :  MMMMCMXLVI\n",
      "4947  :  MMMMCMXLVII\n",
      "4948  :  MMMMCMXLVIII\n",
      "4949  :  MMMMCMXLIX\n",
      "4950  :  MMMMCML\n",
      "4951  :  MMMMCMLI\n",
      "4952  :  MMMMCMLII\n",
      "4953  :  MMMMCMLIII\n",
      "4954  :  MMMMCMLIV\n",
      "4955  :  MMMMCMLV\n",
      "4956  :  MMMMCMLVI\n",
      "4957  :  MMMMCMLVII\n",
      "4958  :  MMMMCMLVIII\n",
      "4959  :  MMMMCMLIX\n",
      "4960  :  MMMMCMLX\n",
      "4961  :  MMMMCMLXI\n",
      "4962  :  MMMMCMLXII\n",
      "4963  :  MMMMCMLXIII\n",
      "4964  :  MMMMCMLXIV\n",
      "4965  :  MMMMCMLXV\n",
      "4966  :  MMMMCMLXVI\n",
      "4967  :  MMMMCMLXVII\n",
      "4968  :  MMMMCMLXVIII\n",
      "4969  :  MMMMCMLXIX\n",
      "4970  :  MMMMCMLXX\n",
      "4971  :  MMMMCMLXXI\n",
      "4972  :  MMMMCMLXXII\n",
      "4973  :  MMMMCMLXXIII\n",
      "4974  :  MMMMCMLXXIV\n",
      "4975  :  MMMMCMLXXV\n",
      "4976  :  MMMMCMLXXVI\n",
      "4977  :  MMMMCMLXXVII\n",
      "4978  :  MMMMCMLXXVIII\n",
      "4979  :  MMMMCMLXXIX\n",
      "4980  :  MMMMCMLXXX\n",
      "4981  :  MMMMCMLXXXI\n",
      "4982  :  MMMMCMLXXXII\n",
      "4983  :  MMMMCMLXXXIII\n",
      "4984  :  MMMMCMLXXXIV\n",
      "4985  :  MMMMCMLXXXV\n",
      "4986  :  MMMMCMLXXXVI\n",
      "4987  :  MMMMCMLXXXVII\n",
      "4988  :  MMMMCMLXXXVIII\n",
      "4989  :  MMMMCMLXXXIX\n",
      "4990  :  MMMMCMXC\n",
      "4991  :  MMMMCMXCI\n",
      "4992  :  MMMMCMXCII\n",
      "4993  :  MMMMCMXCIII\n",
      "4994  :  MMMMCMXCIV\n",
      "4995  :  MMMMCMXCV\n",
      "4996  :  MMMMCMXCVI\n",
      "4997  :  MMMMCMXCVII\n",
      "4998  :  MMMMCMXCVIII\n",
      "4999  :  MMMMCMXCIX\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136447430656001216\n",
    "o=['','I','I'*2,'I'*3,'IV','V','VI','VII','VIII','IX']\n",
    "t=['X','L','C','D','M']\n",
    "def convert_to_roman(num):\n",
    "    #Start writing your code here\n",
    "    a=''\n",
    "    while num:\n",
    "        if len(str(num))==1:\n",
    "            a+=o[num]\n",
    "            break\n",
    "        elif len(str(num))==2:\n",
    "            if num==10:\n",
    "                a+='X'\n",
    "                break\n",
    "            elif num<40:\n",
    "                a+=(num//10)*'X'\n",
    "                num%=10\n",
    "            elif num<50:\n",
    "                a+='XL'\n",
    "                num%=10\n",
    "            elif num==50:\n",
    "                a+='L'\n",
    "                break\n",
    "            elif num<90:\n",
    "                a+='L'+(num//10-5)*'X'\n",
    "                num%=10\n",
    "            else:\n",
    "                a+='XC'\n",
    "                num%=10\n",
    "        else:\n",
    "            if num==100:\n",
    "                a+='C'\n",
    "                break\n",
    "            elif num<400:\n",
    "                a+='C'*(num//100)\n",
    "                num%=100 \n",
    "            elif num<500:\n",
    "                a+='CD'\n",
    "                num%=100\n",
    "                \n",
    "            elif num<900:\n",
    "                if num==500:\n",
    "                    a+='D'\n",
    "                    break\n",
    "                else:\n",
    "                    a+='D'+'C'*((num-500)//100)\n",
    "                    num%=100 \n",
    "            elif num<1000:   \n",
    "                a+='CM'\n",
    "                num%=100\n",
    "            else:\n",
    "                if num==1000:\n",
    "                    a+='M'\n",
    "                    break\n",
    "                a+='M'*(num//1000)\n",
    "                num%=1000\n",
    "    return a        \n",
    "\n",
    "\n",
    "for num in range(1,5000):    \n",
    "    print(num,\" : \",convert_to_roman(num))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79221d28",
   "metadata": {},
   "source": [
    "### Practice Problem 36 - Level 2 [Massachusetts Institute of Technology 6.00 Final Spring 2011] \n"
   ]
  },
  {
   "attachments": {
    "Screenshot%202023-08-13%20012950.png": {
     "image/png": 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vwR0t+PwfFRh0Z7gyreBfe+B3ix7Zp9rjXiU9cl//LzrfMVJc0HtXfzmWabntT27sgJl1274HqUfFtnsTnPQin1wfH8XYunAjjg3/bywSddi42Grs/iAXppv6NgquaJyUyZKd67C4cAAW/Hk8/vsXAxBqTEdK3k24d7C4WG7mecVxv3pOgwW7l+1A9W8exAt/GIWfx4ehc1AQAhvUO86PXU/1tOsycxMaNxUaBiflNucBt8n952L7bnB23m2opfWR0+NK7kM3bQtf0uzuXBIlip8sG88d6IFH/jQR00VdMryzEW+8fQK33BGNUH/X+630yH6Y9bKMuEijXG9rtRe8rDfdpsXjvmxe+XN5bDVp5zhbv/v6V657S3ohukyYigWzbhXnQlEXvLIZBXfU1wWfvXsApu5aXeCm3dy3n7NztwOf2mE/iPZLGvb3/i88PU+Uz/sGoEvOJrzxZSjuirlRbLuTOsKn85Jj+RIDsiy1Qlv5s/+txpAZLtrC7tpjjlyUxe7OjmO2jVq/bURERNeVxr/1uhTaSy+u/s6ISw75bEkdoqNEyyXyZsTlnFKe81JoMiMmUsxTxx93jR8OvbNf9p3JO4rMPnEYF6mePgN6Dse428zI+crJLRO6SMT01k6znQ0Yelslzp1TB52xxsZiTE95VeQP3SDR2OxrwhH5UPwe8RjT5Sh22x+Qn3cM/4yKRZw8J7sSnoBpoqGkk2dQPz369amG7Xt1ki33MDL1CZicEIIAOT0gDGOmxsKyKbv+WTg3DlIaWs6+3zqqEf/rcUjorl4FBkX9GBGV1aLZIZw1YnfxAEy6J0zdPr9gRPRs1KB2wau0oRPG3D8KUTo1ryP6hMFaVa1OakAPQ1wVjhcoWwXzsSIxnIjb4kxinBxTA2NuGeL6O5SnEYmYbl93Zz2iw0WanC3aUxq9XY4QESMaZEr59Yd+sAFRJVaoxawM2bvPI3GSvXyLchUepuxTY1Y+on6diBglD0Q2dddDLxtucrssAzBumLYtOgPGjAlE9jGzOiyFDUDioPryP+nOKuwX+eBSlTgWS2UeivV31ykN2ybCDYjRygJ6iGOl93c4d14dbMKb5dXxdHy7KYcwI/vzKiRO1L4v9lHM5FEYqkxrrAa5nxvx4/H31C1L5s30sZXYmFmkDHsSYOiFGK2eQtVJ5FT2whhx8Yojp9RnvJ02ITuyFwyBXq4raAAm2MuXPS32siDT8vPbGj5fypt89VinuT62bLlGZBmGY4JD2ZkwQvnTKdfl2hvBiBpkr79EWhPCUXJO3auqasTcN1Yr/yI/vzAherx2PPiJ9d0zFhN6qHNKxn1GGMaMQoSsc+X0u+IxNPckCqrU6W71jETct6dwokIOmEWdEYb48dGIyzahoFaMkvvaJPZrT2/rL8cyrW67wX4sK9uegJHKfN7wnE8uj4/TRmSKuqKuDpN1xdjGgZVGGpRJUT/9qxJ33ReLUPv6x8Sii8gXh9rGR4771c7dMS5Vw1xUBqvcF7oQ6JpE0dxwU0+3qMw00Jzta3l95JKbtoXPaXZ5LjEja6tF1L31dYlu0Fj8ro8R/8i277kW7DdNq7QXPNab3qSlmVyWv5YfW57qX+utQzBJ23d1dcFd9XXBlKni3GXnS7u5CR/aYaePYesZAyb9l0OdJvadYUcWspX6V2pYR/h6XmqiFdrKI6e5aQt7ao85Ytuo7dpGRER0XfE6OIkf90BMnnwBjhmFZ7ojQv66GKjHLTeKceVlKPwqTA1Y1glEkA+N2pKz5UDWdsycmowk7fPGHqDU4uRh0/J2oVeX1s27aKc23ivBCA0Tp82zsqEejKGj9MgUJ12bONFnf56HoXcYmn2CPGf5TlwU6Bo+EL6nHjEVVVfG871KylHYePu81Nppi7o1XDR8T4rvlsF4pCv6RXVETFwkdmfnA7WicZwTjoG3aDP7ogVpbEjeLrYJT8/RyuM8x4etl6OkqBNCm6ykDCWibRuq0y4sHMntOnsIT2tlVn7mf2RpFLBoSBfaCYXfODyp31HXIXj8GQNK1r+P2XPWIC3X+UPZlduqnknRjpU1SD2hTWjMy+XV8+34bki+pEDkn2MPBXHB7fy4kw90B3rc2DBP9b31LgLfTnS+GQPDTsJ4WvxdYELRwJsR2jMaI88bkVsqdo3RBF3MzQjydl2dAh22VUuLqwLnbb62oE5Tjs1uwWL7veGuXHtB3q78USrmztK+/3rTF0cEB9nPA87zM6Au89TjJeudFHVZ8jM9A7vhJoDegKgj5IW4UVyIl57CkZ6RiAoyiIvrfByST9wX+zr7NjFO/Old/eVYptVtd3ose8OLfHLpnKgXfK3DGpRJWT+Ji8ZntHXLzxMHRP0jf1psvvr96g0dEh+diJHlu/CnuSlY+JERFhnsarGWlhm75m5fK9RHPmt5muvPJU7qXvgjPCoEVquMdLbOfmtxe8GretNTWi6Flh5bXtS/ohKqO5btdYES7NE4tNp9ajc74XU7zNl2iPZ/dO/6Hw0kxzrCt/PSZeZLe4xto7ZtGxER0XXF++BkYDii+5hR+O9iGGNv1n79CkFE32Lkf2nCf77VApbN1EV3A5AwGivXzsMah8+Cuxv3GKlE1vsZKIgZj2Wr1XmevFOb5JVKlBSLk2p3dbkBMQbEfZGD7FIjDub2QXxvZXSzhHYXGVDcqJF62ozczo4n7FZWa/M+ONhFh1C5fc242Gj1tEVFIi77FAoqTuFIsPxlVuwLg/j3oAkFZ8RyYyMR5dgQ9lYL0tjAiV1Y9Ik/Jrw8Vy2LycMdfvENRpfu52X7thEduoQCZ7510sCV29U9Hn9xKNvKx7EXRCOWkvOIuMn1QRUUGY/pT83BsleGwPrXdGQ22Z4ipCcfRIfxSdqxkoQpbsq35+W1Fi3/vGqLhiBU3zRPzSfM4gKgyb34LoTAMBA4kmdBwZfFiFF65MpeI+dx5KsyFBVUYaBB1gfNWZfntHjO15bVaUrdWVoJqzbsltty7Zk1KwNvFETi8RTt+/Ndl1/78VAi72N0Sp2e8LC2rLpPEhK7abN4EGWIRHbeKVi/OomgmF6iLvKHIUaP/V8WKfstTkyXfK+/PG27e77lUyP2Okwb9J0sk8FiHzvmqfyMg0GbwyNfziuudA7HyGlTkJIyA+OsmXh7V/NTVK/lZaZOs7avNeojX7U8zfXnkq4IDW987qoRdWAZguwRlVbYb63RXvBcb3qRllbXwmPL1/rXQ13gfbvZBW/bYaFdEdG4XVVlRv6Jjgh2Uex9Oi9dbj62x9g2aqu2ERERXW+8D06KBnJEVA32f5YPnbzFWxPVJxK5n+Ug99YeiNDGea24XG3siE9AzCAk5u1C2mHt5Fdbg5ITRU6CTDWorBJbo9Optw5Y8nFE9pJxZ08WtpjkcmtgOZyJjYXRGNpHnYRAA+66swzpiw+gaGxsk4CY+ex34r81yjZ61GcAEs1ZWJdVBpuc31aMrWtzoBsf51MAwLUQ6EUmG/PUW09sZ41IW5Xt9e1E6NkfY8KOIu1TLV+VPDY7NHzPw1wi0+rklqDWTltgL8QainAk4yRqBkerv65rv+L+c4sJPZRAQzN4TKOXfqiBLSgY3Tr5K8sw5550yGc9Eu7uhMwNu+re1Gg7W4RCiz9iRkTjP5u2IeuslocWMV6+5V5uly4Hq7cVq/kny2JREcyOLfcTB7ExS91S2+m9SNvZCSPjHC4yHI4XJch+RvvFuroS56r8Edwkw2phE+N1XYOVY8V2ugBHirVJTXhYXoN1t5QecXcEIjNtL8wyAiJfLrRpH3arE5swDDPga4c8lXmzOkNcICaGK8Pe0PfvBfNXB3Doq3DEaz1ylV4j2btwME9cjPVUx/m+rsZpsSBr82EUqhMFb/ZTM+o0B/IHlgTjXmzU6k75Qost/1b+bMptuXbOsQ60VYt/u3RCaID8vthvuS4LlCCOh8GRMP49E7nyOJHr27MTW+vuAhPT7zDAuC5DnS7ZylBgcjxa3dRJgnIhnZuP9NwaxPdXe3UE9e0FffYhpB/RiTpG68njc/3VeNsrUfhJFnZ7WSn5lk+N9DQgUSfqMHtdUXoUW7a6ebxDE6J+GhOM9LVamZQsZhTYy6HCArO8EFTytYXnFRcspfV13bnz1QjqqO2LJtzv44a8KTPecb99jvnTUGvUR5L3bYtmpNnluSQEcT/TOZy7ZJsoAx/kGXBvnHr8tMp+a3F7wZt603NavONL+fPm2GrMoSz5Wv82rgvEuWHj303qNMGrdrO7c7e37bDuBozsIeqFunZVJXLX74Lx7gSXj0Hy6bzUKlwfs0140x6r474s+nSN4BHbRkREdH3zITgJRETqYT5ThaiI+n76ARFhCD1jgT5K71swKWoAxpRlYe70FLzxb9GIDozElGcTEbDtffUWlVnvYMVuC37QZq+nw9CJsbCsW46kqSl4+qNy3KI8oN+NhEiEZqSK5abgj+trMOGZscovxHZRPxsAnPFH4uCGTwwPHdQfUVmbkDTjHaS5uh3WkZaGLpkfYvZ0kYY5m/CfwRPx+J1e/ortBcOY4ei2c52S9uc2fYehv03wISgcgsQ/jsdAUwb+KLdP5vEBrVErpsWMDMH+5BTMnLuz6a1GrZ62YPSOEQ2XHZWIM9gvJMQ2DA1EVhYwsK8vFxeO3KXRB32G4MHIfCwUy5g590Ps7haNeG2SFHr3ZDw50IzVT6i32s1d9X9KD4GA/uPwwmR//PMldfzMVw6hwCYbc2K7HpuIoSfTtVs938GiTaaGvQp6G9DP/LFS/me/WgDDvIn1PWMaHy8VxchcvVw9Vp45hKBpo5HQ5CIhEmOmhSH7VbEtM1KwaPcNiI/VJjXmbnmN190K9Pf8Cg92PYbnZog8eiID5kFxLp/nF2AYixendarL09lLizH0qd/41lPqlkgMzTmKzAiHHrkGccGVa0K27B2ijWrOuvT3TMQjkQVY+AeRd7M/xtcjh9Wnxav91Iw6zVGgAb975jZUrl+lbPNzGTqMGe/i+x7KdWON60BdwnDcV7FLlAXx/We2wdyrPu+cCYj7OZ4cUY7l80R+zhbr08XD8VpGze9AbH32HWXbZz62BbtloEDhoU6S5IV0J7Ffy/vAYD8tdYvC0E4mZKEXetvzuhn1l9z2BWNrkCaP8VmpSO8WjwmO12HH0jHz9UNOf/jwNZ8aCsOYeWMRdWidsq0zRRkcOdGHnpdC6J2/wYLBxVj6mEirzNdXdsFY92y4SMSPrUSamDbzzWPK9rfsvOJMJcyZGWpdN30NtnZMxJQEZ3W6F/u4Efdlxlvutq9p/jhqjfrI17aFz2l2cy5Ry0aZdu5KwZ8yAvHgs/Y2USvtt5a2F7yqNz2lxRu+lz/3x1ZjjcqSj/WvUhc8mohu/1qHmeI78z8sR/wYtTe4wlO72eO529t2mNZ+MdvbVauQHpCIFydHwmW735fzUou5P2ab8qI9ZuemLPp8jeAFto0syHpTHI9v5nixH4mI6FrTruL8txe1v69JJTvWYL55mNvbZ5G3HbM/6YpX5sfDp+d8EbWWY+lI2tQdr/95SJM3Ml4Xyg9g4WNnMcGXW0/pKmRC6oxd0L/ajNtwrzAF65civec0PD7MWfCGqI1c7+eSa5xlZyrmnkpw36alawfbRkREdB3xqefkNUe5PaUYWzfkYei9sQxMEl0m1ryjyLXf0iNvEdtyEIXDon3oXUZXhbNGZJ2wqLfOydsYt+3F7u6RMFzlgUnADGN2CG6PYWCSiC6VahRkGWGu0nrJWoxI31KMhP4OvSfpmsK2ERERXc+u456TFuxOXoXVRn9EjR2Hx8dHXplvFaTrw3XW28V65ijS1+5CprEatgB/6OMSMGvqEETwILy2lJuwdX0m0rMtsNr8oTMY8ODvRyPG9XueiKgl2HPyGlINc9YufPiREcctNQjorEPcL8bid3fr2V69RrFtRERE17NrPjhJREREREREREREV6br+7ZuIiIiIiIiIiIiajMMThIREREREREREVGbYHCSiIiIiIiIiIiI2gSDk0RERERERERERNQmGJwkIiIiIiIiIiKiNsHgJBEREREREREREbUJBieJiIiIiIiIiIioTTA4SURERERERERERG2CwUkiIiIiIiIiIiJqEwxOEhERERERERERUZtgcJKIiIiIiIiIiIjaBIOTRERERERERERE1CYYnCQiIiIiIiIiIqI20a7i/LcXtb9dSl6cov1FRERERHRtOX78ON5bvUIbIiIiIqLLyevg5Lw/ztWGiIiIiIiuHUMTRmB/1h5tiIiIiIguJ5+Ck7LhRkRERHQ969evn9LLju2iq5/jvmRwkoiIiKht+BycZMONiIiIrmdsF107uC+JiIiI2h5fiENERERERERERERtgsFJIiIiIiIiIiIiahMMThIREREREREREVGbYHCSiIiIiIiIiIiI2gSDk0R0haqBJS8HmTuNMFu1UV6ylZuQ+ekBGMtrtDFERNQiliJk7TyE3NPV2ggiIiIiotbB4CQRNSKDgoeQ9uYqzJ2ejKQZKZj//AZsPXG5L0hrUXLsEFI3HEOR1ZcgYw1KsveK7+3FxoPlsGljL6naGljLLbBelpUR0dXAatyO+VNFHdrgk4K395Vpc1x+tgoLLD7Vp/Xkjz7/+HAfdpnOa2NambUSFkvrnmdakl4iIiIiunwYnCSiBmxF2Vjx2i5s/UaHu6aNxiMPxCKmZzCCOvppc1zp/BE6eBQempaISbd1RYA29tKpQcmeDZj7x4+RyR5FRNRIaNwATLh/CCbJz28TMCqikzbl8rKZdmHh3DV47wvL5fnRxhcVJqQ9vxx/Wp8HS602roWu6PQSERERUQMMThKRgxqUfJWH47aOSPztWNw3YgDi7hiFKTPGYmRPf3WW2mqUnDAia88hZGWbYLbU90qxlppRWFQGi6UYxuwcZB0uQkmVmGCrhNl4FLv35CD3RP2ForW0WJm/5EwRcvepyytxewt3DSxF+cgWy8k2FsPi4oozICAYPSLCoAsU2yy213JabNeZSrE+sZ6sQ9idZUSh/ZbvWrFMZbrYDlO+ki657LpekHLbi8wN0mkT6SssUtdvE2koOlsNW20VSuRyTov0tdLFNRFd7fwRHheH+8YOxxj5uWcIYrqLeraoqFFdIeqhM2r9aa3S6pzSMhQe0+rNokYBNq1OzdpzFEY5rUGdI+s0E7K1OrWwtFpUtmJZYn1WWd+dFesx1defNq1eVOrrioa9DG0Ws1Zn5qOgXNRz2njnamA9Y1LqclnHFoh6sU6FWL9Yp3I+UMh5tfpSpuW0Os1mKUfhf8zqdti/I+pYeT7ZvU8sU6ZFYz9/WO1pl+cmJd/cp5eIiIiIrjztKs5/e1H726XkxSmY98e5GJowAvuz9mhjiehaZMnehD+9ZULwHYmY8+tYRHTWJkgVRdi4ZAO2nNCGpa7ReOSZsYjrVgvj+vexKKMSQQHi2tB+IdhVL6aVITvPflEZjMR5kzHlVn8xfyoWbavUxmt6iOU9JpbXvRYFm1KxcIcOD730KyToLMjesAVvb3O4JbJbJB764zgk9NACpxrL4XT8+c0ixM+bhil9LNj62jqknfBHgLggrrs+7Sq++5T4rq4YW8T0jY5pEnSDR+HJB+MR+u0BLHl+L374xWQ8OVavLKMw40M890lHTH9+HPR712HhpxbtW0JkPF54YhQigrRhIrrmeNMukrd1P/eqEeG/fwCPDAvRxgq1lTD+fZ2oK2uQ+D+iLhykgyV3OxYlH0XQxIl4JLYY7720C7l1gTzJH/3u/xXm3BOOoPMmbPlrOjYeqw8kBg0ajid/PwQRARbkbv4Yb39a5hBI1OHnk7phb9oJ1NVUAWGY8tJvYDi5DUv+mo8SbbScd8z/TMQksU3WE3uxfPEB5Db4wcgfcTNEekY4pEeSafo0HW9vMqN+9o6Ie2AcHrxTD1t2Ov70TjFGPjMNk/p0BGxl2P3Wh1hdEYtnp+vwycuZDun1R8LDSZjsl6mcixqs3i8E9/3PrzBBnj/WifPHF2F4/KXxiNGJaRYjlj+bgRMJ4zCvrxGvvJXfKL2TkdjoXCGxjUtERETU9thzkoga0BkSMK6/P0o+z8RzT6zB6oyjKLT3Guysx12TRuOR+ZORsvQhvDAjEkHlJvz7K/USMKC9euGnvzMRLyTPwIIH9AgoNyO7qhceen4GUp4fhbjOlTiUbRYXjf4ICJDzi4vuX4zFX96agRd+Hw39mXxs/PxUfW8YjfWrbKRtK4MuYTgWJD+ElD8PR4zVhI3bxQWo256KYh3aHenR47X1TBMX+OWncLBAbrfYDjndT4fEP4h0vTUFj4wNgeWLLGz90iHo6FRHRE1MwuvTRDrFRfOE5+dgjUgjA5NEpKpB9qYteO3VVPXzZgayijvCcN9oTDBUIvODTGQdy8HGtUdxbtBwTL9L1E1KvSh0j8T0P4t687VxmBADHN+yD4eKK1G4Zxc2HgNi7h+H12U9LOrNgMNZSD9cBmvBAaR+WoYuw0Q9+ZqoJ18ej0f+ZzRGj/4lFj8fjwg/f8RMS8LKVVOQ2DEP6evzUdLTgIdemoFlyeMxQf6Ys+kQCixlOPRZNnIvhGHCvClIWTIZD90RrG6XE9YTWUjdZEbA4CF4UlnvWEzoX4vs9buw/4zbChr+YbF4fPF4jOkOBA0bjZTVc/HQYJ1oocoflMQ5KU5d5uvPDEecrgxbNueg0KFTZhMXgBtixzVNr5PAJBERERFdGRicJKKGgvQY88gDeHLqAMQElWH3+u147tmPsfuMDFD6QxcZjm5+FhhzjsF4Sl4h1sByvlbtpSODfEHhuGt0f0R00yEiSg+9vDgcPQRxkTroeugRHSYuZMsr8YO4gFTn12PkyGjodWL+uHiM7AOYC77GuQa34NWiRN7qJ/7qEngeBV8cxn6jBfLKtaRAjHd3oSoowcc+cXjgHoOyHn1UOG4JqMH3VnW75fSAPgOQGKuHTheGmDtiRdqrUXCyvGGvHSKi1iDqyTEPjEJMlQnLX8/E7guR+N3kOOgDtfpItM70CfGI7y3qze7RGHlnJHTWMhSc/haFX8ne4x0RVGlG9r8PK2/P7iDq4aKCUpzKl/VkCEbeHYuo7sHQ9YxE3KBw6GQd2Ij17BmcENVoUGdRj8rbx78owjn5Y4683fpsCQpMNdDFxWLkrWHQyR7wdxgQ4WQ58hxQUnAKZuhw19jbYFDWa0DivdHQ2cpxxNTolnRvKevqiPg7BinLDO0Ti3sTgsX2FeNMaz2YkoiIiIiuCAxOElFTgSEw3Dkaj78qez+KC1tLEbZkmmCtMCPznTV47tUMLN8gA4Rl3gXv6q4jtV6MNi2Y2ZifuOCWnXMqrLDK4GWdGti+V3tvFn6eg7T1B5C24ShyZcdGq3zeozLJrQA/h1fjyG0Qnx9cXDEHBIrtELNXWqr4/EgiagF/xI2/D088NUX9/M/YusdQBPQw4C4ZbBMi7ohHTHfXPfsCggPRQVSk5yq+R4Vy+3Mlsj49hLSPDmBjRpHyw03leSuqqkQ9KeovXaDTKGIDtqoq/CD+tRqN2Cjr1PWHkJknvm+rhrXyPCrFejp0CvTipWKiPq+U6w1usN6A4GB0EXW3tXE3+GbzQ0DnQKC6Euc8/CBFRERERFcXBieJyLUAHaIG98dAHXDurAXffHUI6YeBuN8nYeVbD2HB7NvQz/OVq/dslSiRnYK66JTgYD1/BN3QUfwbjPuemYM1a+fVf5LHwuD4XMxWYKv4Dt9Zxdq6BiMgwE+GVGFrECwlImqJGli+3IW0neozdwu37MJuk6uIWw0qSyyohB9Cu/wIIZ1FjdQ1Go+/5VAPis+yhwcg9EZRT1ZZYHYWvZNxQ4dWX8ANwaJGBaJ+OxkrHZazZu0M3BelQ5cgoLK0EpUe6z4/tX5utF6rqMxLRO3ZTReEAD/1Fu36H6qc8NQilS83k2/N6RiMLp1EYuQCxbY1+QHJvpxG6SUiIiKiKxebbUTUgO2MUX0rqnzTqaUYuZ/n4JAF6NJdB52/2rPHVl0NW0UxjHvzkN+s+/UcWIuw8TMjSiosKNizD5lFQL9BNyO0QXDSD136RCIqoBKZO47CrPQcqkGJ8Siyi1qnC43NeBDpB4tFms3Yn3EQx206xPUPgS5QXAiL6+5z5jKck2/RPbwLqZ+UiQvl+pfrdAjqiIDaKpyrqBLfr2RvSyLS1MBiNqPgRJH6Malvk7adNWLd+0aYe8fi8adGIS6wGGmpe1FQoX1NMG/bhd0nKmEVdfLWjCJYu4VjYO+bEB6jR1B5PrbuE+NkXWMTdWf2UchH6IYaItFP1pMb9iH7tKiLbJUoFNMK5XIDghHsJ7ZH1lEVlUDXXojpCRRkHkLuWbVnuvVMPrIOF8MWpMfAmGBYs7OwNVvUixVm7P4kB4VifbLea1jt+4v6ORxRfvb1WmAx5WDjJhOsuptxW1QwAoJkz89qmM+K84q1DMadO5GWq65TBhhlr/ngQJkUKyqtlbBY5TR5vqlG5qYsGMurUfJlFtL3VCKofzR66zoiSPaitH4H87ciPeVF2L1+F7Jkb3p7MLVReute0kZEREREVxwGJ4nIQQ3OnTyGtL9mYOEzqzD70VS8sakY+juGY9bYSIT06Y+7DEDu2nWYPUdM+2e5eqFq0y4ym6lk53bMn7MKCz8yI3jYKNw/Qr4Vu6GgyATMejQeUV/twtOzkpE0NQXzX92O9P3mJi/PaZ5qZK1KFWleh9X7gJjfJuLe3sFAp3AMHaaDZZ/YxlnL8fTb+YD9xQrKev0RFNELhs7iwjxZ5Nkz29TbzYmIhIJPt2PhixvUz/PrsOQfR7Hro53IqtJjStJwxBhiMel30dCdyMHqDIcXfFUVI+3F5Zj91HZklobhvqmjYND5Qz9iLB5/IBIl6zdg9nRRF84Qdedb+7C7oBIBPRMw7eFYRBcfxdvPLMfMGcvxnJxmEtNu1CMuCijcJL4n6u/0b8IwYc5ojNGZ8PYTKaJOTRbrSsd72/Jgrg6G4b5E3Ne/GpnvinpxzjqkKsFE8altWuEGRQ7DrEfs612Fuc/L52iGY8qcexDXTdaRP0GiPHe8L5b1hzVYtLUS+q7ii/YfeTqGwBATAtuxvXh6znK8sbO4PgBqysGix5ZifnIOCnoY8OD4/ggNEPkQ0x9xncqwUeTRzMc2IO1UMEJlb0lt85qkV+QPEREREV2Z2lWc//ai9rdLyYtTMO+PczE0YQT2Z+3RxhLRtakG1vJymE+fRak1EOG3RkIvbyO0s1lQaCzCGYiLySgdfii1wNYpRFxodoStvBjm834I7RGi3pYtb/M7Iy4Iu4Vpy6iB5UwxzkEHfQ9/cdGYioU7gjHl97EI+LYSXSKjYYjU1QUmbaVmFFaIi9CeYfW3edsqYf7qJArOi/ER4YjqoT6zrQFrGQrPViOoux6hQY7rDFaXLZdxxgLoxHZ1LEfmm6lIrY3H42N1KLH4IaJ/H0R1k7eR24llFJlQUOKPHn1uRugFkT/lQJceYdAFqnPYSouQazyDyqCbER+rR1D9o9eI6BrjVbtIqf8sDZ+f294fQR1ELSQfeNtZ1Jv2ekbesnymDOcudERowCm892ImzowYjUm9qkXdJQN3ot4JcqiHpYoyFOSdQqmo28KjboZe17ieNuFMVTB6REUioqs2TfZaPGZSg49xBuiDxLhaUb99bYKxsBJB+psRdYuov+31l9iukhMnUfRDCKJ6BaNS1PdKvem4LkcizYV5RSgN6C7ODw71tlQr6t28kzhT2x1RfbsiQJwvSmzB4nyhU9cnpxvzYSwG9LeKbTu7DX9OLsLAGfdgYG05bF0jEWNotEyRnoKvzLB2CYehZyDOnS2DNUCHiO7aecFZehthG5eIiIio7TE4SURtpBoFSnBSh4de+hUSurm42L3UqoqV4GQahuOF/xmivC2XiMidS9ouKs3B289m4szdE7FgfDicxNOuC5bcdCU4GT9vGqbEOPkRqpWwjUtERETU9nhbNxEREREREREREbUJBieJqI10RMQd4/DCn+5EjKtbBC+HwK6InzoZC6b2Ryh7TRJRW9NFY9KfJmPOHd2v216Tki5qGJ58fjzGRF26XpNEREREdGVgcJKI2kxA1zBEhGvPp2wz/tD10CPC/jxKIqK2FBCM0HC98hzf61pQCPSR8rnB2jARERERXbMYnCQiIiIiIiIiIqI24dMLcR6cPgv9+vXTxhIRERFdn9guunbwhThEREREbcun4CQRERER0bWGwUkiIiKituNTcFI23IiIiIiuZ7K35HurV7BddA1w3JcMThIRERG1DZ+Dk2y4ERER0fWM7aJrB/clERERUdvjC3GIiIiIiIiIiIioTTA4SURERERERERERG2CwUkiIiIiIiIiIiJqEwxOEhERERERERERUZtgcJKIiKhFamCrqIatVhskIiIiIiIirzUzOFmEjY8m47XPLdpw27MaM/HaoylImpqMmXOW47X1Jli1ad4o3LAUSa8fwpWTIiJfXHnHJNH1w4S0Oeuw+1ttkIiIiIiIiLzWzOBkOCa8NQ9P3KHThi+1Shg/2Y7scm2wsdIDeCPZDMNjM7Bm7TysXDIZ9w/riiBloofvaiImzsGa+fG4XCm6PPKROnUNMku1wRYrRta7e1GgDbWt1k5b6zGuTcbCHWXa0KXSeF9c7mPy0mjtvJM/WqR9cWUEbEt2rEHS2nxt6NJqku5j6Uh68QBKtMHLzov1t92+8u4ccd0R59WFU9Nh1AZb7HQOlu8waQNERERERET1rpLbuqtgPmLGuQvaYGPfnEVBeB8kRAarwwE6RPS0B2k8fJd8YEF+Vjls2hC1Je4Lb1SePoUCS402dP24GtPddtvMc8Rlca4IWebr71gkIiIiIiLP/J5++qnntb9d2v/vA7j99gS8t+p9zJgxXRknezht9b8dA8PEgOwV848LGN0xF4te+Bir1x/EF98EIua2m6CEC5XpP2CQeSeeXrQdm7fnwdozEv27B8qpSo+ih/cG45exIcowUIbMF/8G062x6BUke8itx+Zvv0fu9v3YfNQPw0b1VJdrV3ka//r0P+gwIAp9b+ygjZRcfFfbnr7HP8bTi40IHjUQvU7Ice21bZDf24d2d3XA3sUfYMl7+7DlwDcIizWgp9odEzibg+UL12Np6j5sP/49+nY4hscz7d93T+ZdauVADA1Xt1VJ/4t7URUzGP27KqPEPCkifxOU/C3Ztwkvv5aB1PX71XXF90LXAHW+hqpRuONjvPzKVnz0WS6+6RqMdtnl6HKPzEf79HS8tsS+rPO4uX9vdP+R8mVlO5ac1CPKvA2v/EXM88lBHLuox9Cf6OAne9H8YQeyUY59m0VefhfaNK2eyoEk8+2V9VjxgcjTzDzYogzoF+KvTrOasDH5/2HJyj3YtFVufyTiw+0Z7iltjrzYf1YzMletx+IV/8KGdJHO8zoM7BeKQKfh+moUbFqHF978J9b/XUvTT0WatHmtpgNKWXj3I3VaF5hg7hKLkb3FymSeLD/XoMw2OHZQA/OezXjldW2fHPoGnftFI6KzrcG++kxu/wCx/Z3EV1zsi4bLBSy52/HWy59iZdo+5fvBvXuh141aXnuzrzSyXMw/1BU/768F/MV3Z87/FAVhDcvwkpM3q2l2ux8bcpt3UrkRaSnrkWJfVqAe/Xp3hlL8PaRB5sdzn3yP8twcbN6ch84jGpcVrZ7po8fpD1OxcOkupUy269sffbvaC4L7fe/22JTbvugjLH5frSNuuuE7HP4h3Gkd4fbY0+Zxuz8dOE33+a+w2dgRP73x/7Dipc3O97envHZbjmU+fYgFyZnYoB2fpWs+Q6FSh4vJxe7X73lfCRWiXC2xl6v/RZ41FIP636hsn7u8cZ+3zs8RVvmdgo6wffIRXlldjuhx0Qh1W2eUI3fzKXS+1PWRPPafOA792N5QThW1Ytm/F9uaH4TRt9+k7is5z+KvYVD2lfvy20CtBblpaViwOFOtm8WJofR/bej3q74IldPdbqP7Y0nug4eXnwZMohyIOqsiur6eulo5axfR1Yn7koiIiKjtObtEaZ6cXXgvLxqPpMzDmtUTEXd6LzJPaNOkgwewv8c4LFs1D8ueikLBWxuw9Yw2za1oTFmbhCm9QzAlWSz7z0PUCyVHkaPw5NRA7H55OWa/nI7dpkptgpvvHtyFf4aMx7LVU5CoBQQbKkLqB0UYOOdhrFw7FwsGl+ODzCJtWjG2vpWJ0p9NxsrVIj1z9Ni/wfvbNaMMkcg12pdViRO5HZF4dyCyj5m1cUU4cvBm9IsCbMYMLMzUYdYrMl/FdsSbsejdHKfPxrRlf4aFGR1FWudizbIZGHfehP3aNKlk59+w8IsQTH9ZTBdpemVsFd57KQPGKm0GwZyRga0Bo/DCMrG+JXei25Z9yK4QE7oNwYK145Ao8vTJtWLa1Gj1C425KwdVJqS+moPQGTNEnqrlwJi8CVlKYsTF7ZLPUDJiijJtzWujEPz3dUjTvuspbU25239yXRuwXz8ar6wQ61ohlmfLxJ/XmZz2RJT59vbZAVgg82T1DEwK2ouFf9eWVWXEBy8fRJcHHlLy9IX7zuNQljrJG7ZjYv9u8sckZZ/MQ8qjCYjSyaBKR6C7AY8tEeuUyx35HZZvOqpunxf7QpabP79/HiOfeVhZ7rI5Ydj/6t8a3gbv6ZjVhIryGnysqO6W3IIvizHy7kgYc09q+SXLcBUGGmTQzf1+bMBT3sny8lImzt0xWRynYllLx+OWLzbgjZ0Ot327SYNh6jy8/kAIoh5IEstPQmI3dXxD55G+IgsdxqtlMuWBG5C++Vjd82rd7Xv3x6aoI5IzUDC0vo4o3OP+dnWXx57g1f7UuEx3UTa2mH7i+tj0lNduyONz0Z6ueKju+DyEjfbDzc7N+j3vK1muNsE46Dfq9i2bVvfoDm/yxnXeuj5HmMU85jtFuVg1FgYf64ymWqk+6nYzBgYVoeCsNvwfE4wjDEgwnqyrx61fnYRl4M1KOtzWXY2Yt23A26YovCDO0StTJiL6pNHhsRHebKPrYyn0brFf54t66s5xyj6a0l/9BhERERERkdR6wckbB2HSL8Khk918/PTo16catu/VSYqwAUgcpPa5Ceg5HJPurML+3NZ6tpw/9CMm4nVxwfTIoBpsfXU55n+Y7/6FOEEDMOGeMATYuyU10Qlj7h+lBYr8EdEnDNaqanXSaSMyLQMw6S7t+zoDprgK1jkRYOiFmJxT6oVf1UnkVPbCmDvE94+cUgNAp03IjuwFQyBg3GeEYcwoRHQW4/1EOu+Kx9DckyhwCCiqapD7hQmGXyciRm6znPeeBIzUpopLT2RttSBxYn2adIPG4nd9jPhHtj2YKy5sY4dhekKImq7OekSHV6NSS7ZX3JWDvKPI7BOHcdrt97IcjLvNjJyvaoCzRuwWeTpumNY7T+TpmDH2gK2ntDnjbv8dw9YzBkz6L/t2BiNGzGvYkVUXDKpXhux/VeKu+2IRap93TCy6ZJtEjgK2XCOyDMMxwaFsTxih/OkVY1Y+ouzpEgK666HXelNFxBgQqnSFEukdbEBUiRXnlCmeiPz63Igfj78HCd215Yrtmj62EhvrAiKCp2PWrmck4r49hRNK3phhzA1D/PhoxIk8KJBvJ5Zl2CTKa0/xt9v92JCnvLPlHkamPgGT7eUxIAxjpsbCsim7PmjibRpcqkb8r8fV5VNQ1I8RIQq8ekS43/duj017HWGvY2Q+jHXfq9r1sefl/vQkPAHTXOSVV3ntknp8Ro93PD7HYkIPbbKdm/V7JMtVsUN+in2hPrrDu7xpTr1mvXUIJmll07c6w5nWqo/0MMRV4XiBWkLNx4rEcCJuizOJcXJMjTg+yxDXXy/+dl9+GzIj+/MqJE4aDr2sc+S8P78NUepEL7fR3bFERERERETkWusFJ32kC+2Ewm9a+Q0EfjoYxo7HX5aMRu/PM5F5WhvvTKdA9Ra45jhnQUmYTr1Is3PISXmLonxruPykHtNGOup8MwaGnYRRbl+BCUWyl0vPaIw8b0RuKVBiNEEXczOCxMVlibiKzHpHfQu58pmegd34DufOq4uqZ8G5EiBUp11MN1GJc2c7IbRBL1F/hEeFwGptEum8JErOiv2dtR0z7WkRnzf2AKUWi5hYjsKzh/C0w7T5H4l8PicvbT2lzUfO9l+gHtG9nQUsylFSVImNz9RvV9ITB8S2WpQecucs3wHdgrWXL/lK3b/O0yVvY9+Ep+do65zny4uI1PzqcWPD5ep76+sDIj4Jx0AZRDbWiJ11Ckd6RiIqyIDb4vJxSL4tQ5Th7NvEODmr2/3YkKe8U6bL/aQNK3rqEVNR5WVvtZZyt+89HJv2MqYuqIVae3821bK8dr59Ac2uYJ2Q5cppfl7CvAlyOEf4VGf4yMdlR90arvVaLoPxSFf0i+qImLhI7M7OB2pNOJ4jjtdb5Jzu666GtPODqwJ7KdNPRERERETXvTYLTlpKziPiJqf3UytsLYk+BOlxSw9xseVdNzPfddEhtNjZBZ5K3qIob11zfftaCAwDgSN5FuUW2Rill4vsEXMeR74qQ1GB/RZZHbqEAgkPq7f81n+c3faozlticdVPpStCw8/La3wHNWJdZQgSF+GXQxfdDSIxo9XbfR0+C+4WaZV52j0ef2k0Tb1l2VPafBTaFRFy/8lef3ZVZuSf6IjgjtpwnWB06R6MCS832q6142AQU5U0lVa676XbSH3ZVtN15lsn6TqxC4s+8Rfr1fZ98vD6XkwehSBUFKnGyzWfMCMosEkCvSIfRZCdd0q5ZTQophcC4A9DjB77vyxSlhsnpivc7seGPOVdaHdRPzQ+zk6bkdu5BT8s+MTdvvdwbHqoI3zT+vuzsebkdeNy3GrHpzP2/HQ8ZhWXPm8UPtUZPvJ12VGRiMs+hYKKUzgSrPawDzCIfw+aUHBG7LPYSEQpQUT3dVdDcl5xfnBVYC9l+omIiIiI6Lp3+YKTJw5io/pwQdhO70Xazk4YGafe5hjaoysC8opQKC98bGXI/WgL0ps8j/I8zCU1QK2Tt31WlcF8pho25cKpBiVZu/CPM5HKMxtVbr7bHD0NSNQdRdq2YnWdlnxs/LtJneYlff9eMH91AIe+Cke80stF6xGTvQsH87RbZOGPmDsMMK7LQK79LbYifwpMzq4gxbyDI2H8e6Y6b20lCj/Jwu66yEII4n6mQ+aGXdobcWtgOZyBD/IMuDfOWc89VywwywBnM/IyIGYQEvN2Ie2wFkgQyyg5UaRe8PbsjzG6HKy256ncvqIimJXIlae0+ai7ASN7GJH2qbZusbzc9btgvDsBcfIW3Qb0SBgTjPS1e2G2B2MsZhSI8iYFxMjnve3FRi1NVtMubPm38qfqpu6IKvpavSVarKdgxyakHVQnKekaEY3/bNqGrLNaflrEcSCfJ/dDDWxBwejWyV/JJ3PuSSe3YrreF4ZhBnztsFx5zK3OCMaExHBl2FdK8CM3H+m5NYjvr5aXoL69oM8+hPQjOsQa1Fs53e/HhjzmXZ8BSDRnYV1WmbosWzG2rs2BbnycD4FawHz2O/FfWW7UYe+52/cejs3GdUTpUWzZ2vzHWDRnf/qUbk957akcNzg+5UuedmKrD3ec27ncZlmuwkR+1h2zsu4wK8HU1inrHs4RPtUZPvJ12YG9xPFWhCMZJ1EzOFrteaz1xv/nFhN6KD8eSO7rrob0iLsjEJlp2ry1FmRtPoxCdWLrpb+4XPu+OkhERERERCRdvuBkbwP6mT9Wbumd/WoBDPMm1vf+MwzDpK7HsHB6MmY+uwslQ0djQoPryhDEjAzB/uQUzJy7s+ntraUmpK1Yidni+0lTU/DcFmDCS+MQp3QI9PDdZgnDmEcT0e1f6zBTrHP+h+WIH6P1HPPWLZEYmnMUmRH2Xi6CQVwA5pqQLXu+aKMCDGPx4rRAbH32HeW2vJmPbcFueRHtREDcz7FgbA3SnkhB0qxUpHeLb5CPoXf+BgsGl2G1nC7y6U8ZgXjw2bFKzxvvRCJ+bCXSHhPb8eYx33uFBUZiyrOJCNj2vnpr96x3sGK3BT8oE0OQ+NhEDD2Zjrmz5H58B4s2mep61XlKm2+0dZkz8EdZZmatQnpAIl6cHOm0l5iab8VYKtKt7INXxEW5/TlrgQb87pnbULl+lTLtuQwdxox3eLZgt1hMuLMY780R35u7AYe6J2LS7do0IaD/OLww2R//fEm9PXjmK4dQYBP7t88QPBiZrx4Tcz/E7m7RiNe+o3K/L9Ry06luubOXFmPoU79x0uPWSzL40UmU1/I+MNhv/ewWhaGdTMhCL/SuC1C4348NeMo7rbx0yfxQPbbnbMJ/Bk/E43c6zONB6KD+iMrahKQZ7zh/KY8H7va9+2NT1BHzxiLq0Dpl22eK/B850fvn0jbm6/70Od2e8tpTORbH55MjyrF8nti+2aK86uLhaxzc/TaLcvXH8Rhosh+zou44oAa1W17WvTlH+FZn+MbXZQejd0wgMndUIs5g/2FJpGFoILKygIF9639sclt3NaK/ZyIeiSzAwj+IeWd/jK9HDnN4rm8rpD9qAMaUZWHu9BS88W+fzx5XBflWcpnPC3e01vO0ryTyrfOyHKVDPs2DiIiIiKg1tas4/+1F7W+XkhenYN4f52Jowgjsz9qjjfXBsXQkbeqO1529afsaYdmZirmnEly/xZqI6LphQuqMXdC/6uot6URXN2ftIhmcXIH71EeVOKqthPGTDXjjk6543Olt9R6UG7HxgwPYbSyDpSoaT/q4DKsxE4vezEHUIw0fNWM17sLy9UdhNFUrz5YN6hmJSXPGYWQPrSd8EzJAaUR8c9JwBWtxG5eIiIiIWqzNnjl5datGQZYR5iqtl5TFiPQtxUjo72PvSSKia8FZI7JOWNRbwuVt3dv2Ynf3SBgYmKTrXUURtr6xCm+c8EOENsonZw9g4ROZMN96J15c6uqZoS7UVqIwIxVz3zQj+MfaOAdBegMmzJmpPgd69Vy8MBZIe7m17jAhIiIiIvIeg5PNFIRT+PAJ7XbOZ/ahcuxk/C7OVW8DIqJrWEAgzm3foN7KP/0dLDrcHY/MGwX5qi+i61pxPo6Hj0PK4wnNCE5WIuvDvcDEyXjk7nDofH6GQBkOGbvj8cVTcJ+zlevCENFNe6ORnz9C46IRU1GGUhe3/hMRERERXSqXJzjZfxzWXFO3dHeEPmE0nnhLfVPvyqUz8NDdevXFBERE15uukRjzhxlYtkr27JqLlKdGI6arNo3oetY7EY/fH4kg+7OlfVF6DP80RuLeUd4/Z7cBv3BMmDcaBi9eWmSzmLH7g10w3hmPmJa+5ImIiIiIyEfsOUlERER0hbF+dRIFfcNgy1iD2TOSkTQjBQs/MqpvPG8l9pf4zHw0HbtvTMSLD2hvgCciIiIiuowYnCQiIiK6wlRaq4GvTCgZOFHtlbzkV8ob69/e2XpvAw+9O0m5A2TNivEYV70Pf3z1AEq0aURERERElwuDk0RERERXooR43Nc7WP27czjuuy8aBV8UwKKOaT2BYYiZPAxD84zILdXGERERERFdJgxOEhEREV1hgoO0l9U0FtgRPr8bx2t+bBkSERER0WXHJigRERHRFSaovwExBw9hy4lKdYSlCFu2mBCT0DrPhbSWFqOkqkYdsJUhd90+7O/Thy+zIiIiIqLLjsFJIiIiojZgXJuM1/ZowcfGdLF46Kk++HrlKvWlNc9sx9eDJ+KhYdpt3ihD5otLkZanDfqkBiXZmVj6xDvKspP+8CHSKgZgwWNDEKrNQURERER0uTA4SURERHRJRWPK2nEwaEOqIhw5qMfIWHuwsamgyCF46NW5yktrVi6dgYfu1tf3mqw4hSPFfRDfRxt2wzB1Hqb01wYU/oi4ZzJeeEtd9ppVc/GXPwxBBF/VTURERERtoPnBydM5WL7DpA1cflZjJtK+aPVHwjdTPlKnrkFmcx8iX3oAC6emw6gNtlwxst7diwJtiIiIiC69gg/XYOEOL9+mfdqE7EgDYjprwz6yGU+iYMRPEKUNX1qynZOOTG2IiIiIiKg1NT84ea4IWWbtWUVtoPL0KRRY2m79VzYL8rPKYdOGiIiI6NIKvTtJ6YW44O4QbYwHPUfh9XmxzX5+ZMDg8Vh2f7g2dKnJnp/zRPoa9/4kIiIiImq5ZgUnS3asQdLr+cDOdOVZRanH5NhqFO7YhKfnJKvPRnpqE7LOKrML8rlIa7A19wDeENNnfqj2uLTmZWKhMn8Knn43B7nbGvU4OJuD5c+kYKZc3pw12JhXrYyWz2ia/2GZ0kMhyUmPRbl9s9cXaUPCsXRlGW/sq3+uk5ynbl1WMzLfXYXZM8S2zEjBwo+MsNSqk+y9BbKObcfTs5KxcKfsrSnTugHz5fyzlmP5vrO+BQJrLcj9aE19uozntQl2DfNy9svbkVuuTdLyMvNMMXa/u7xuGVtOaIFarRdmptjuRWJa0lqxn4iIiIiIiIiIiK5AzQpOKr0D5kcDd45TegmozzHqCHQ34LEl8pf1uXhh5HdYvumoQ9DuPNI3nMVdL8/FygcigSojPnjNiIgHH1Lnv+88tm5yCExWmZD6ag5CZ8zASrGOZU9FwZi8CVkW9dlJrz8QgqgHZC+FJCR2076jCTVEIvhYEUq04YIvizHy7kgYc09q21OJE7lVGGiQvRvKkLlkA/brR+OVFWLbV8zAOFsm/rzO5LDtRVi3Mwhzls7Dgjt1sGV/hoUZHTEleS7WLBPznzdhvzanN8zbNuBtUxReWDUPK1MmIvqkscEt2CU7/4aFX4RgusgrmTevjK3Cey9lwFilzSDzckUWOoxX8yblgRuQvvkYrHJStyFYsHYcEhGNJ2Uvh6liPxEREREREREREV2BWvWFOBExBoQGyL/8oR9sQFSJFeeUKVI1Yu4bixidvzJkyzUiq28Cxg1SHwQf0HM4po3XKX8r8o4is08cxkXWTx93mxk5X3lxK3fPSMR9ewonKuSAGcbcMMSPj0ZctgkFskdk1UnkmHrB0FP8ffoYtp4xYNJ/hUPnJ4b9ghFz/ygYdmQhW/m+5I+7xg+HXklbDXK/MMHw60Q1LX4irfckYKQynzfMyP68ComTtOXJ9f38NodnRpmRtdWCxImjEKXklT90g8bid32M+Ee2vednNeJ/PQ4J3dW8DIr6MSIqq+HifZ9ERERERERERERXpFYMTja8FTlpXtMXsgQHqcE06ZzlOyBMB4dwpNia+uklZ8uBrO3KbcvK8sTnjT1AqcWbl+CEY6AMZBprxBdO4UjPSEQFGXBbXD4OybfOFJiQfZsYJ2c9Z0GJ3A4ZmLQL1CO6dzUq1bvIhUAEBWp/woJzJUCoztXbNeVt4PZtdvaSm0qcO9tJfF8bbEKb3lUbVPgjPCoEVmtd10kiIiIiIiIiIqKrXusFJ0/swqJP/DFBuRV5HtYkD3f7BskuuhuA0kr1VmQnlOkJo5XblpXlaR9vHzQfZYhEdt4pWL86iaCYXgiAPwwxeuz/sgjmE2bEiemK0K6IKLY4PGNSqDIj/0RHBHfUhhvQoUsoUGJx1U/R/tB4+XH24PhgdOl+XnxfG2yiK0LDxfS6Z0xKNSgqKENQfYSUiIiIiIiIiIjoqtey4GRxuRrUk58famALCka3Tv5iuAbm3JMwKzM5FxBjQIJxLzYeVoN8ttOHkLa1/pmTATGDkJi3C2nadLnMkhNFDYKI5rPfif/WqOtvJMDQC4bcfKTn1iC+v9rLMahvL+izDyH9iA6xBq2XZncDRvYwIu1Tbdm1lchdvwvGuxMQ11mdpSF/xAyOhPHvmciVbwsX8xd+koXdyi3f3tAj7o5AZKbthVk+1LLWgqzNh1GoThRCEPczHTI37NLeRl4Dy+EMfJBnwL1xrnprOmOBWQY4Rb4RERERERERERFdiZofnIwagDFlWZg7PQVv/NsC9BmCByPzsXB6MmbO/RC7u0UjXpvVqUADfveEAYXvLYd8W/fC3cG4a7RDr8jASEx5NhEB295Xb+2e9Q5W7LbgB21y6KD+iMrahKQZ7yDthDbSUeebMbDTUWSW94HBfgt1tygM7WRCFnqhd13gMQSJj03EUHMG/ii2PWnWKqQHJOLFyZFwFW8MiPs5FoytQdoTKWL+VKR3i8eEcG2iF/T3TMQjkQVY+Aexvtkf4+uRwxo8szL0zt9gweAyrJbLF3nzp4xAPPjsWBi87jgZifixlUh7TOyLN4/BmxvhiYiIiIiIiIiILrd2Fee/vaj97VLy4hTM++NcDE0Ygf1Ze7Sxrc/4YTI2dk/y+tZtIiIiosvtcrWL6NLjviQiIiJqe636tm6f1JYhN6sIFnlrs2A7vRcbP9chvj8Dk0RERERERERERNeDtgtOwh8B5Yew6DH1zdazXzMh6tGJGNNDm0xERERERERERETXtLYLTvrpYBg7Hn9Zqr7ZeuVbUzApxv5wSCIiIiIiIiIiIrrWtWHPSSIiIiIiIiIiIrqeMThJREREREREREREbcKnt3U/OH0W+vXrp40lIiIiuj6xXXTt4Nu6iYiIiNqWT8FJIiIiIqJrDYOTRERERG3Hq+Ck7Blw/PhxbYiIiIiI6NrC4CQRERFR2/AqOElERERERERERETU2vhCHCIiIiIiIiIiImoTDE4SERERERERERFRm2BwkoiIiIiIiIiIiNoEg5NERERERERERETUJrx8IU4ZMl9cg9QT6lBAZx3ifjEWv7tbjyB11CVQjcI927B+gwnHLTVAYEf0G5WIWfcboPPTZiEiIiIiIiIiIqKrlk89JxPnz8OatfOw7NkhQMY6LN9XqU3xVSWMn2xHdrk26FQNrO0jcf9LDyvrXPPaOBhMGVi0rVibTkRERERERERERFezZt3WHdB9ACaM0SG3wKyN8VUVzEfMOHdBG3QqGIZhAxCh81cHdeG4775omA+bYFHHEBERERERERER0VWs+c+cbK8FDQWr6QCWP5OCmVOTkTRrOZbvK9OmACU71mDhNiMyk8X0GRkwIh+pU+Ut4mVInSfmf/EASrR5PSk5W46AiDDotGEiIiIiIiIiIiK6ejUrOGmzGLE1owwxUXplOMjvBtz+6MNYKW+/fr4/Sv+6C9lVyiSFecs+mO+cgZWrxsKAaExZm4QpvUMwJVnM/+chCNXmc8tqxJZPajDujkhtBFC4YSmSHs1EoTZMREREREREREREVw+fgpOZrycjaWoyZj97AJVjJ+OhYcHqhHADYrprPSl7GDC093c4d14dlKy3DsGkQdq8zVFbidwNu2D+xa9wX09tnBAxcQ7WvJWICG2YiIiIiIiIiIiIrh7NeiHOyreS8JDDm7ob3Nat3LKtTbALCkSA9qdz8lZvNfCZNDUdRm2sqhrGD9/He0jE43eHaOOIiIiIiIiIiIjoatf8Z07WKUJ68kF0GJ+EZatl8FLesq1N8pq81VsNfK5ZOw4Gbaw9MLm6ehRefCC6LhhKREREREREREREV79WCE7WwlblD13XYAT4AbbTBThSrE1y6zzMJTXi6+LjTK0F2X99H6sxCi88OAA6sWwiIiIiIiIiIiK6drRCcDISY6aFIfvVFCTNSMGi3TcgPlab5FIIYkaGYL98g/fcnSjQxjbw7f/hH/sqUbIjA7On22/5Fh+Ht3vzhThERERERERERERXr3YV57+9qP1NREREREREREREdNm0Qs9JIiIiIiIiIiIiIt8xOElERERERERERERtgsFJIiIiIiIiIiIiahMMThIREREREREREVGbYHCSiIiIiIiIiIiI2gSDk0RERERERERERNQmGJwkIiIiIiIiIiKiNsHgJBEREREREREREbUJBievcJbsdMyfkYyklw/Aoo0jokaK9uK5WeI4mZEBozaKiIjoulBbDau1Rhsgd2zWSthqtYHLphLZq5Zj5tRkLNzJ1rx7zCuiK0sNbBXVbVBvXs1YjzWXV8FJ2xebkJScA6s2LDM8K7lpwKxg/VKXO8Cybx1mztqOAm2YvGHG7vXFGPn8PKx5Kg46bezlUrhhKZJeP3TFB0VZttpe2+6DGmR/dgA9HpyDNStGw6CNJXLJkoM3ZqUgLU8bvkJcLXVuc13r6WsTV2hZlq6tc3MRNj6ajNc+v0JLr3EbZi/ORok2SK6UYffi5UjTfsW8bGX09CGkmQx4YfU8LBh1uVrznsvsFVknt0leXeuu5PrrCq9bfXRttnNMSJuzDru/1QYvoZIda5C0Nl8bqmdcm4yFO8q0oatAG9djV3M59Co4GdDrx4gymlGoDQPFyBcn9gDTWRTWRdEtKBRn96gI5ztAN2wyVq4YjShtGKdzsHyHSRu4MlmNmUj7wmG3HktH0osHLmPjrxLnzoYhqqf4089fHXXJVML4yXZkl2uDQsTEOVgzP/6yB0Ubc1VR2TUpWy54Ws4VrS2PFy/W7e0+uDQsOFcSguheHS/DceKF0gNYODW9TXtwtupJ/Cqoq73R4PjXxeLxFXMxqY866E6T80CzlSHzxWSkHtMGnfCuzvW8nMunGFnv7vX6wv7SnFMab8OVlD++ykfq1DXILNUGveFDWXbmUrZzLvt5odl1lTflOBwT3pqHJ+5o6xbRtcH9OeryHdPeltEWnwfOWVDSRw+9n/hbfi6LxmX2ym3nN+Axr66lOr95fG/jtbT+upR5frnrVm/qe2eaHj/OXJHHFDlxieuRy1rnXyV1u5e8u627Ww9EBZpReFYbPvs1CiJjMcZQhOP/0cbViul54eh3izbsybkiZJmv7FtQKk+fQoHlerlNpgrmI2acu6AN0pWlLY+Xq+BYpUvoOt//19d5wFcW5GeVw6YNtY0rYRuuXtdU+W52XcUydGW58vbHtXGcXCvtfB6vl9+1lOfNTQuvk68t11KZvrbKpt/TTz/1vPa3G8GoLtyF40GDEf/j9rAdP4SN7QcgKbwQOyp6Y2RkIGA+jo9Od8G4UT0RqPz6vw/fRxdi2bObsT/4VozsfAQLF38Ng5hu3bEGDy8/DZi+wubN+1ERfTsGhonVnM3B8lfWY8UH+7AlMw+2KAP6hTjpCVVuRFrKeqSs3INNnx3EsZruiDfciABtsiPZW2ZJgQ7Be9bjuTd3YcuBbxDcuxd63eiPgo+WYtk3Yvt7B2lzi2RkrMK73/RF18/fxnOffI/y3ByxjXnoPCIWvc6L7TV2xE9v/D+seGkzVq8/iC++CUTMbTeJHNI4btvWXHwTqEe/3p3VbZM9Ev5xAaM75mLRCx87/76d7H31hx3IRjn2iTza/F0ofhkLZL74LvaFaPlln0/L12Al6v83mProcfrDVCxcKtIr8rFd3/7o21WLQ1eYsHHJ/8MSZfv+F3nWUAzqX4q0qeux+dvvkbtdrOuoH4bJ5Snb216sN0T9rru0afu83V0dsHfxB1jyntiHIq/DYg3oWZ+9KrnNTxyHfmxvdJXDteK7vxf7KT8Io2+/SV2eQ7pwMkeUszAMKtmH117LQOonYp9f1GPoT3TqjxEN8kBwmsYbYfO0nAaqUbgjHa8tEfOt34/PZFoGiLR00ibXVsK4eT0WvvlPrP/7Qfzrq+9wy8DeCO1YA/OezXjldfV72w99g879ohHRWeS/VWxXsn27RP51jUR8uJY5Sl7/gEHmnXh60XZs3p4Ha89I9O8eqJThpseL2L6MDXhu8XasF+n44mvn5chqOoD3Fm9Ujqkm62zA+fKcH6vuj2+vymFtGbJWfIAXtGm2KD9kP34AHX7VF6HqHA1YcrfjrZc/xcq0fcq+sB/DarlzUnbVrynkL8yplQMxNLyDMqzk54t7URUzGP2VAijnScFW/wTluHK9LkHbT32Pf4ynFxsRPGogenWwIDctDQsWZ6pp6f4jlP6vDf2UtHi3n9zXaZ6PLbmfly9cj3c/UuuULjDB3CW2Qd2mUvdN3o3VSH9pPVaX98C4mBtd1r3Oy57cni0olXWiffEN6gon5SPylPs01FqQvfZDLHznX9jwmThmL9yEwU6OS+/LsyDzdNFHWPz+Pmw//j1uuuE7HP4hXNtGrYzeqqXBxfFcmpbc9DzgsDqZP/MPdcXP+2u/TYp8mDn/UxSENSxvS07eLPaFyMZdOai4+RaUbvl/eMXZcdG4zj1zCMtf3aDtl+MwB/XEwFvao9DTchpzupxgkb8N67ntx8/j5v69IYqw4OE4dnqO6uS+3nRSTlyXay+OHafb8CPP+SyWXbBpHV7Q9rdyHv6pWHaj7PNt/4qN9uIc2fC4aCfy62O8/MpWfPSZLM/BaJddji73qOXMatqFt5/7BCtEXSTPJSED64/5eg3Lsro9ekSZt+GVv7g/z8m6sVntHG/bag3OzZ7OC1rdFOaH3clpSEk9INbbDlG39kQXJQPldNftH5ftSgdO89PqrAzJtlbTelLm11Z/bblKWXbXnpNl7EMsSM4UdZq6b0vXfIZCe53TQMPjsOFx4+U5pFjut04YLfNanF8zX1mJv9dEY1ikUpCctz3ytmP2O6UY7HjOPLMLTy8vRfwwvWjLO7hc56jmHtPu2lcNfK8uy6DtxwZl1HleFzk7Tpos2nVdKo9JT2VTOW5dXKuoXC/fXRmpL7NyH13idr6X5/EW5dWlqPPLj2L1wjQsk/XZv06gXZ9b675Xsm8TXpbXC8p2fo++8b3QVc2MenKbfLimUcqZy32p1YON6h63x4+X+e5b/eXgkh+TPm6bMt359ZKklKG9wfVl2vEc6bS+t8+ncVoeTjg9fuR5Z0lBR9g++QivrC5H9LhohDY4pryoG/Mysei5+nSGlm/FSpPWpmjEbRvYTTlWyUfyvY1POw5GvL5+fN31T4i8ltmAvyyVx0jj8l6O3M2n0Flrm7jNY21zvDp2nLAq1+r2tnq90iP7YeyslfnWOGZbux5x4Lwek2XB87WTu7JyRcRwLoNG2emKP8KjQpBrMitDheLfmEg9QsP1KDypjrMWmlEZ1cOh+2gR1u0Mwpyl87DgzoadSkPvTsKa+dHAneOwZu08TOkvRlaZkPpqDkJnzMBKMW7ZU1EwJm9ClrO7KPwC0W/iNGW+NUtGQ79zGzJFGXDFvPUQSu6Wy52Lxff7I/3lz5BdBUT9bACsnx+DmgLJjOzPgzEyNhiGqfPw+gMhiHpAbOvaJCR202YpysYW00/wSIpY9+qJiDu9F5kntGkyDS9l4twdk7FstZi+dDxu+WID3tjp0PU+Zxfey4t2/n1H3YZgwdpxSEQ0npTpnCryyyvnkb4iCx3Gq/mY8sANSN98THteqKg8lmyCcdBv1O1bNg33D+uKILGOKSKNU3qHYEqyGP/nIU0DRN6kTezz1A+KMHDOw0peLxhcjg8yi7RpDrrdjIFBRSiw98T9jwnGEQYkGE/CKPaLZP3qJCwDb67fjj37kNl5FF5YJta95E5027IP2RXatAZcpVHj9XI6At0NeGyJmE+k5YWR32H5pqN1v7CU7BRpN0biSVG+16x9GC/+NhZ6sRLbsQws3OSPSS/PVcp2yqMJiNLJxqXcrs9QMmKKWm5fG4Xgv69DmuO+P3gA+3uMw7JVavkveGsDtp5xcbyU5yA1IxgPLhbLWvUwnhwfKRorTQX53YDbH5X7Q8z3fH+U/nWXUvabcLE8p+tWuD6+Ve7KoTjStn2M98r74wWR1pUpExH9xT7s1qY1ZjNm4M/vn8fIZx5WtmHZnDDsf/Vv2q2PnstulCESuUZ7OazEidyOSLw7ENnH7Ed+EY4cvBn9ojytS3NwF/4ZMl6UrylIFC1R87YNeNsUVZ+Wk8b62wS83E+e6zQ3x1aVER+8fBBdHnhIbLMoq/edx6EsdZJzYt9sOIu7RBld+UCk27rX9f73xFn5cJOGvH1YfuonWLBCpH/ZQ5g2LEQ7YTbkdXlGMbYmZ6Bg6GSsFPXAsjniXLXH9S1Qro5nl+cBTagoW8HHiupugS34shgj746EMfekVlfI8laFgYb6RtbuDYcQ7OK4aKBKNBZezkLwr9V5Vy75Fe7tq6vLl9ZYTsnOv2HhFyGYrtRXc/HK2Cq891JGXT3s9jh2eo5yX2825aZMeHPsuDlPussfme63zw7AAnkeWD0Dk4L2YuHfm56rfNq/Xp4jHY8LW/ZnWJjRUdRdIv+XzcC48ybs1+aUv+rv/+goukyboRx7y54YBYM9yOuBOSMDWwM8n+ea3c7xtq3WhPvzgpz+jx0WjHlJ5IeyXw5i4YdGr3o2eK6rXOSnyzLUqJ50xk17Tu7bRXu64qG6fXsIG5sWMY2b48bbc4idDEy++iGyhz6AJ+6U9Y6btkefWIyrPops0c6wM39hRLfbDU1vBbtc56hmHdNetK+84SKvPZ0HJHd1qbfnUVfXKpLbutqrMnIZ2vlensdblFeXoM43ZmyHWd7eL763MnksErqpAWHZHlyYqcOsV+R3RFrjzVj0bo6oSRrx8ZrG7b5UNG6jeTh+vMz3JlrhevSSHZOets3F9ZJHbtJi57w8uD5+zOL8ar5T5MGqsS6eee+hbnzNiIgH6/ft1k2u26ru2sCuynG9YMSNiER2dn79OVWsf1eOAUPlhvv5I8gwCi8qx8hDeKi7ESt22K+TfOP1sdNMLT9mW78ecdSSayeXZcVlfOMyx3AuAy+DkyKje+lFy/yM2MHy2ZI6REeJghB5M+JyTikX4vaAZT1/3DV+OPRe1ZBC3lFk9onDuEj1N5uAnsMx7jYzcr5ychuFLhIxvbXfdjqLg+q2Spw7pw46Y42NxZiesuD6QzcoERP6mnBEPjy+RzzGdDmK3fYHyecdwz+jYhHXWRt2JjwB034RDp38ScpPj359qmH7Xp1kyz2MTH0CJieIE4OcHhCGMVNjYdmUXR+suHEQJrn4fuuoRvyvxyGhu3qgBkX9GBGV1eISSjhrxO7iAZh0T5i6fX7BiOjpLLDUlFdpQyeMuX+UFozzR0SfMFirqtVJDehhiKvC8QJlq2AWF3+GuETcFmcS4+SYGnHxV4a4/g7laUQiptvX3VmP6HCRJmeL9pRGb5cjRMQYEKqUX3/oBxsQVWKFWszKkL37PBIn2cu3KFfhYco+NWblI+rXiYhR8kBkU3e9EuRQtssyAOOGaduiM2DMGMcAmRA2AImD6sv/pDursF/kg0tV4lgslXko1t+9PmjRQLgBMVpZQA9xrPT+DufOq4NNeLO8Op6ObzflUPkRoAqJE7Xvi30UM3kUhirTGqtB7udG/Hj8PXXLknkzfWwlNnpZaQYYeiFGq6dQdRI5lb0w5g5x0jhySg06nDYhO7IXDIFeritoACbYy5c9LfayINPy89saPr/Km3z1WKe5PrZsuUZkGYZjgkPZmTBC+dOFasTcN7aujPpU93rNWfnwUD98W4yib8U6RQMptJuWF415W55PG5Epjre6ekAeb2PrA4QNuT6ePeoZibhvT+GEEvgxi3orDPHjoxGXbUKBfB6zLG8mUbbkc4M1I6e5Oi4ayRNpiKzfrwgIQUSPjurfQsuXY0bWVos4Duv3iW7QWPyujxH/yLYvyd1x7JzretMZD2XCpzqpIdf5I/b3vypx132xCJX7WB6zY2LRReyzJs1wH/avd+dIx+NC1DdfmGCwny9Eudffk4CRynx21TAXlcEq16ULga5BVzbXrLHDvD7POeWmndOy+sJTeRLT73SoS3+ZgOh9+TDK9LcKX/KzUT3pjMv2nLpvo8c77tuxmNBDTnPO7XHj7XFgO4utb6xzCEwKbtseYRg6piPS/6U9p7PWhN2fh2FUnJP697Keo5xzeUx7077yVrPqHG/qUs9cXqt4s/wW1JV2rdLO93geb528cqYldX7J6bMokfWCOD+GasXIuM8Iw5hRiJDXhPIYviseQ3NPoqAuiGjnyzWNd+ddx7rHq+PHm/ZTY61wPXrJjklP2+br9ZKPnJUHV6y3DsEke/vKKQ91Y98EjHNIy7TxblbooQ3sabsDxHkm7oucuh8rbV8aYUz4CaJkPiMYUYPseS6OkYRwlJxr3jHp/bHTfC07Zl1rlbZjs7mpXz3FN9xo3RjOped1cBI/7oGYPPkCHDMKz3RHhOy7HqjHLTeKceVlKPwqTA1Y1glEkJcNaankbDmQtV155XqS9nljD1BqcRJnl11TX11aN++indp4rwQjNEycHs7KSiwYQ0fpkfm5/GW+Btmf52HoHYZmndSlc5bvRIWpa/iLc089YiqqvPrl/5IrKUdh4+3zUmunLerWcK33SRmMR7qiX1RHxMRFYnd2vtJAPp4TjoHePr/UUQvS2JC87WITnp6jlcd5jg/NLUdJUScnFX8ZSkQNFapzcpKS23X2EJ7Wyqz8zP/I4rbi14V2QuE3Lp683HUIHn/GgJL172P2nDVIy3X+e5RyK8gzKdqxsgaprn619HJ59Xw7vhuSL3oS+afdUq0QJxHnx5182Y04B9/YME/1vfXeV5qdb8bAsJMwyl4eBSYUyV+ve0Zj5HkjckvFrjGaoIu5GUHerqtToMO2amlxVeC8zdcW1GnKsSkao770vA8Oqq+rfap7veZj+TCMxl9+p8O/l7yD2U9tQqbJ+b71ujzLB1F7XQ+4Op69IeopGZgxiouC0lM40jMSUUEGcVGSj0PyjUiivGXfJsapM/tE2S8+7ldnXC/HyXEoGiTyLgmrtbktSHf1po98rpO8Jfd3JTY+U1/ek544IOpn+dNrY97vX+/OkY7HhVrfOD1fKHRIfHQiRpbvwp/mpmDhR0ZYZEO8jV2a+sIFnQ495P5qlTeE+p6fjvWkb5yfSwJcNi7dHDe+HAffFuFQgQ5xtzr8EOOh7aG7LRYxOw8rvW9sOYex/7ZBiHNWd1/mc5RPmtG+cqrZdc6lqEsdr1U8LL+V6soWt/O9Oo9firzyxH2db5g8Aw92O4Ylol54+l0xXukmpbbns95Jqf/O9AzshvMfRL2/pvEu/Y51j8fjx8v202XVWsekl9xeL/nIeXlwQ5zUWzVu0N71ecddG9ir7Q40YNQIM3bnyP0gf0Qrxl3DwtVptRbkfpSKubO0ffZ6c18g69ux0xytccz6zpe24yXQgvhGi+v2y8z74GRgOKL7mFH472IYY2/WLrZCENG3GPlfmvCfb7WAZTN10d0AJIxWutHKLrD2z4K7G/d2qUTW+xkoiJG3VarzPHmnNskrlSgpBvTd1eXW/YpQasTB3D6I762MbpbQ7iIDihsV0tNm5HZufsXlUa3N+4LVRYdQuX3NuMBp9bRFRSIu+xQKKsQFX7DstSb2hUH8e9CEgjNiubHigk/5JcdHLUhjAyd2YdEn/pig3HYhylnycIcAQzC6dD8v64lGdOgSCpz51snJV25X93j8xaFsKx8ntxTYWUrOI+Im1wdVUGQ8pj81B8teGQLrX9OR2WR7ipCefBAdxidpx4rs9q1NcsLz8lqLln9e1eYhCNU3zVPzCbNoD9T3InMvBIaBwJE8i3JbZozy67X8pfs8jnxVhqIC+223zVmX57R4zteW1WlK3Vla6XBrpG+8r3vdaPFDmP0ROigRj4vjbdncMOx/OdPJ2859KM/2ekAbdM/V8ewd+diA7LxTym1bQTG9RH3oD0OMHvu/LFLKTpyY3hzKfvE6Da65Xk5XhIY3TneNOB7KENTcXx7c1pu+uzR1ktzfwWIbG5b3NWvHOb0ly9v96/s5Uj1flFjcXKx1DsfIaVOQkjID46yZeHtXS0tDy7VKfeEtiwVnZDm9URtuzJf2j3TZ8tOLfevIw3Hj9XEQdhsef0SH9FfTYbSfEDy1PcTF6m2DTdiVXSYuVM0YGu+svmrbc5RHzWhfudK8OucS1KUNrlU8L7816sqWt/O9OY9firzyxEOd76dDzPjJ+MvShzEnwoiFm2RPYvUYTnhYOybrPs5v6/f+msb39Hs+frzJ98usFY9Jb3i6XrL5cqJwWh4uDd/qRg9tYC+32zB0AP7zr2MoqTLi4GkD4rQ7e6xZGXijIBKPp2hlXt6W7IP6PPbx2GlEyZPC8rrH6agqYSmtj920yjHrM9/ajl7x5drJfl1zJcRwLjHvg5Nip0dE1WD/Z/nQyVu8NVF9IpH7WQ5yb+2BCG2c14rL1UwWn4CYQUjM24W0w1pjrrYGJSeKnOyEGlRWia3R6dSuqZZ8HPFUC+/JwhaTXG4NLIczsbEwGkP7qJNkw+yuO8uQvvgAisbGNgmImc9+J/5bo2yjR30GINGchXVZZbDJ+W3F2Lo2B7rxcS26QKsXAr3IZGOe2oHYdtaItFXZ3ncn7tkfY8KOIu1TLV+VPDY7FNbzMJfItIpPY62dtsBeiDUU4UjGSdQMjlZ/EdR6uP1ziwk9lIvAZvCYRi/9UANbUDC6dfJXlmHOPemQz3ok3N0JmRt21b290Xa2CIUWf8SMiMZ/Nm1D1lktDy1ivHwOjdwuXQ5WbytW80+WxSJxcet4RjpxEBu1B3fZTu9F2s5OGBnncMHncLwoDdcz2q+j1ZU4V+WP4CYZVgubGK/rGqwcK7bTBTgiGrvOeVheg3W3lB5xdwQiM20vzPJkJl9Gssn1MycNwwz42iFPZd6szhAniETt1z4v6Pv3gvmrAzj0VTjitR65yi/d2btwME+9LVPyfV2N02JB1ubDKFQnCt7sp2bUaQ7kDywJxr3YqNWd8qUPW/6t/OkVr+reBvu/K/S9y5Cv3MIkyvGJA1j+UQsbb1UWcSGv5rn1nBXWQGc9aX0ozz0NSNSJesB+vJUexZatrm75cXU8K38q3J0HlAuQ3Hyk59Ygvr/aUyqoby/osw8h/YhO1HPN630VECPq3EKHOlccJwUm329bcr2cEMT9TOeQbnl+zMAHeQbc6+y2TpcsMMsLLXnecFtv+sqbY8fOYRs8Evt7TDDS12rHrGQxiwtI571NvN6/Pp8jxflicCSMf89Ersx/sV8KP8nCboc0WkrrzxfnzlcjqGPzypInvrRzvG+rNc/uT3ahUN5yJvIjd3MW/nOnAQalXeZl+8fNucp9fvpShjxpvG/li/J2YqurJ5G4PW58OQ5E2ew/DgvGWvDGkgPqLW8e2x7+4hw2AAVbPsbG0wMw0t42bqAtzlE+7A9v2ldecZ/Xro+TVqpLXV6reFq+L2XkErbzvTqPX4Lzjkfu63xbeRksSvutGpaKGgQohVwcw3cYYFyXoR7Dkq1MnDtdXE14fU3je/o9Hj9e5XtraItj0gU310uhPboiIE+04ZQyXIbcj7YgvcnzKF2nxXl5sHNz/DRD431rO30IaS7bqu7bwO6320Gfn2Bk8VFs/fsxFIlrHntEx1Yt0tSlE0ID5HlIXJflurxg9JDHPh47jQT0j0ZCkdy/9jaraGNkbcM6YyQGahVRqxyzitarRzxr4bWTx/jGZYzhXGLtL168CPnxRkSkHuYzVYiKqO8YGhARhtAzFuij9L5VhlEDMKYsC3Onp+CNf4usDYzElGcTEbDtfbW78qx3sGK3BT9os9fTYejEWFjWLUfS1BQ8/VE5bhns4Rf7hEiEZqSK5abgj+trMOGZscqvWnbyxTg444/EwY6vhBMH36D+iMrahKQZ73j3EF8tDV0yP8Ts6SINczbhP4Mn4nH7s39agWHMcHTbuU5J+3ObvsPQ3yb4EBQOQeIfx2OgKQN/lNsn8/iAWiHKaTEjQ7A/OQUz5+5seiteq6ctGL1jApG5oxJxBvsJWWzD0EBkZQED+/rSSHHkLo0+6DMED0bmY6FYxsy5H2J3t2jEa5Ok0Lsn48mBZqx+Qu0+PnfV/ym/fAWIC4MXJvvjny+p42e+cggFNllRiO16bCKGnkzXusy/g0WbTA1/LettQD/zx0r5n/1qAQzzJtb/2tP4eKkoRubq5eqx8swhBE0bjYQmz0qNxJhpYch+VWzLjBQs2n0D4mO1SY25W17jdbcC/T2/woNdj+G5GSKPnsiAeVBco2et1QswjMWL0zrV5enspcUY+tRvfPsl7JZIDM05iswIhx65BgNG5pqQLX/R1kY1Z136eybikcgCLPyDyLvZH+PrkcPq0+LVfmpGneYo0IDfPXMbKtevUrb5uQwdxoz35fse6t4m+z8EQ8cPQNH7YntF3fj2gRsw+bfN6x1YpzQfqa+8o2z/3HfMiHt0lJMTpg/lGWEYM28sog6tU+qrmWI/jpzo+ldgV8ezMs3TeUBegHQSZau8Dwz2U2O3KAztZEIWeqF3k/3tpcBosV9GoYO9zp2din+aqn2/BcPNckLv/A0WDC7T0p2CP2UE4sFnG54f3YtE/NhKpD0m8vjNY7B4qDd94tWxIzXaBm2sO2q6i7FUfEfu75mv7ILRyQtjFN7u32acIwPifo4FY2uQJvN/VirSu8VjQt3vIJUwZ2ao54vpa7C1YyKmJDT3vOhac9s5nttqzTM0Xof052WaVyHNmoAFD0TD3rb02P5xe65yl5++lyFP5L59ckQ5ls8T+3a2OBZ08XD5G5e748br46Be6N2/weM9D2Lhe0fFRYwXbQ/5Yhw/C4Lu6F93odrQ5T5H+bo/vEijN9zktafjpOV1qeDmWsXt8r0uI5e4ne/Vebw18qp16/yS3O1YJB+pMH053pY9x+5TD1S1PRiIrc+qaZr52Bbslhf/Tnl/TeNz+j0dP17me8u00THpirvrJcMwTBLXF0p9+uwulAwd7XBeldynxVV58Hj8NIfct08YUPieWrcu3B2Mu0a7Ot7ct4Fdb3dj4Rh5d40oqzUYM6w+7qFLGI77KnaJ86fIl2e2wdyr/tqoCQ957P7YKcLGR0VZ3eDi17qgAaK8J6DD52r7PWn6O1j4uT8mvzQOcdqzDVrnmG3desSzll47uYtvXO4YzqXV7ruK8iaRyXbt2ml/Xf3k69znm4e570qetx2zP+mKV+bHiyYYURuQr/zf1B2vO3vL1vWg/AAWPnYWE1rSPZ6IiK5SZch8cQ3M4315s+XVxITUGbugf7W1bjFrRbUmpM3dC/3LUzCSjeA24dW1ChFd89dLxg+TsbF70qV5VArRVcDpbd2+9Ka8qindYouxdUMeht4by8Ak0WVizTuKXHtXeHn73paDKBwWfQl+7SUiIrrMzhqRdcJSd1uaedte7O4eCcOVFJiU2waxbf/ci/23JWAoG8FERJdPbRlys4rUW5QFeYv6xs91iO/PwCRdv9w+c/LaDlJasPtN2S12HQ4Zfo4J/S/Ns5yIyInOwPG1K9XbkGbJ2/duw4IHmv+mfCIioitGQCDObd+g3Ub+DhYd7o5H5o1ycdt027D8e51yC/HCQ3o8MrH+9nkiIroc/BFQfgiLtNuEZ79mQtSjEzGmhzaZ6DrUzvJdmRJ99HQr97V0qzcRERERERERERG1vbqek556SV7bvSiJiIiIiIiIiIjocmtyW7c3QUoiIiIiIiIiIiKilmrvKhjpLkjJACURERERERERERG1lMfbuhmgJCIiIiIiIiIiokuhSc/JxsOSs3GSs3FERERERERERERE3qgLTjYOQDYelhoPS87GEREREREREREREXnSJDhp/9g5/i01HpacjWuoCBsfTcZrn1u04cvMkoM3ZqUgLU8bvpqcOYS35yVj4Y4ybQQREREREREREdHVT8YU22WXF1686WIHBLZTHz/Zrl07t//aNR6WnI1zrhLGT/bBOmI04rpqo1CMrHfz0O0PwxGljbl2eZPWGpRkZeC1980IDQd+GDwRC+4O0aYRERERERERERFdveydHduf8PsBx/2+xxn8oIy0T3D1r13jYcnZOOeqYD5ixrkL2qDCgvyscti0oWubN2mtxolj1bjv+RmYNjhQG0dERERERERERHR1c4wh+k3806PPV7W7iPJ2NbDhIgIvtkcA6ntAyt6QJf9ciyezu2LsrTq1d+SxdPz+ic9QEBaDoeEdlPlKdqzBmydvxoheVux86W/Iu7Ea6S+tx+ryHhgXcyOMa5Ox1f92DAzLR+rU9dj87ffI3b4fm4/6YditX2PJH3YgG+XYt1mM+y4Uv4wNAc7mYPkr67Hig33YkpkHW5QB/UL869a35KQeUeZteOUvGUj95CCOXdRj6E908FPmcFSGzBf/BtOtsegV1Lzv5oX5YXdyGlJSD+CLb9oh6tae6BIgJtdakJu2AX9Z+k+s//t+bD/+PfrG90JXOc3+Xce80OdhobO0NtEBPX96KyI6t4f1ZI6Yvy9G9hYbT0REREREREREdJVq3LlRvZdbqG0HnPKzIb99Fcov2nDhwgVlZvkJ/Ukkgo4VoUQbLviyBCPuvgXG3JP4QVlgJU7kViHGoAbZLqIC6RvO4q6X52LlA5HKuHrRmLI2CVN6h2BK8jys+fMQhHYbggVrxyFRTHtyrRg3NRqoMiH11RyEzpiBlWLcsqeiYEzehCyHx1aaMzKwNWAUXlgmvrPkTnTbsg/ZFdpED3z77nn8Y4cFY16aizWrZ2BS0EEs/NCo9nz080eQYRRelMtZ/RAe6m7Eih1m5Vuq8w3zwllaiYiIiIiIiIiIrnGNA5NSXXDSrqx9LQraV6O4fU1dgPKCPgI//fYUTlTIhZhhPBqK+F9FIy7bhIJaMe77E8gx9YKhp7YQ/ICY+8YiRqf2cmyWvKPI7BOHcZHBymBAz+EYd5sZOV/VKMOSNXYYpieEIEB2d+ysR3R4NSqr1Wme+PbdasTfORx62RvSLxgxv0xA9L58GEXagWBEDQqHTi5HTksIR8m5SjlBU93yvCAiIiIiIiIiIrrGyLhjk+CkVNH+Ak62r8Y37dQelMDNGBBnxpH/qwFKT+HIj29B7x/9BPFxBThkFJML/oPs2yIbvNwl6EdNb5D2RcnZciBrO2ZOTUaS9nljj1i9pY3e+O1Ip0MPlKPkW/G3vK37o1TMnaVt5+v56jwOgoPcByblbeb2NPKt3EREREREREREdK1x1mtSchqclL5vdxH/8fuhLkDZ6ye3IPurIljzTiJoQCT8L/rhJwN6IOvLIphPmhFnuEX7Zj1XK/VGF90NQMJo5ZbuNQ6fK+KN1RYLzqArQm8ErFkZeKMgEo+nzFW3cb7vt2mH3p10ZaWPiIiIiIiIiIiolTiLEdrHuQxOSjJAWdT+B5SiBv59b0Hfo/lIz61B3K3qrdZBfSKh/99D2HLkBsT+xL9+RV4FJc/DXFID1Nbfpi3fYm0uF/+IcQExg5CYtwtph7VbpMW4khNFsCi3Ul9+uz/ZhUL5TMraSuRuzsJ/7jTA4AfYqsX2d+mE0AB/ZZoxt1j9gkf1aSUiIiIiIiIiIrpeOAYr3QYnpcr2F3HK7wd810mPAcHH8K/yKPS9QV3AxZAoJASbkIVe6NVZGdWE896TIYgZGYL9ySmYOXcnCpRxkYgfW4m0x5Ix881jsARGYsqziQjY9r56a/esd7BitwU/KPNefkPjdUh/XmzH9FVIsyZgwQPRkI+g1CUMx30VuzB3utjuZ7bB3Kvh7e3ONUqrNtYnpkzMnboUG03aMBERERERERER0RXGeWywXru/WfK96eaIm2r90Ke2I/zatUe7du3Qvr36ryT/tf8tOf4tNR6+upQh88U1MI+fhyn9tVFERERERERERETkUePgpOOw/Ntjz0m7b/xqcbqdTXxJHZZfbrwwO8e/pcbDREREREREREREdG1zFyOUf8uP18FJ6Yx/Dc5BviBH/bLjh4iIiIiIiIiIiMgXXt/WbdejRr29235b9/VzezcRERERERERERF5o3FnRsdhx86OPvWclIr9a1HWrqZuIY4LIyIiIiIiIiIiIvKGjCn6HJysFZ+z7Wtw4cKFBoFJ+9/2YSIiIiIiIiIiIiJHjWOIPgcnpTL/Cyhv1HvSkX3Y1XgiIiIiIiIiIiK6NvkSK2xWcPKC+JS3r+852XjBRERERERERERERO40Ozgpfet3AVUXGwYo7R9HjYeJiIiIiIiIiIjo+uAsVuj4aXZw8vv2F/GtvLX7groCZytyxtV4IiIiIiIiIiIiurp5GxO0Dzc7OClZ/NSekxccApSuNoCIiIiIiIiIiIiub47xQxlTbFFw8rwfYGt0a7fU+F8iIiIiIiIiIiK6PjmLGdo/7S/YapWRzWFtfxGV7WRwUn60kU7YV0xERERERERERETXB3cxQTlJxhTbt/NrUedJVLa/IJbEACQRERERERERERF5R4kliv+3b9e+nTaqeb5vd1Esp74r5oULF5Tx9mCls6Cls3FERERERERERER09XIXB5T/yo+MHdr/lv9rWbdJoVosQQ1IyoWq4+wrJSIiIiIiIiIiInKkhg7VQGXLg5Oy56QW7SQiIiIiIiIiIiLyxB5PbPc3S77HqOL+fx/Q/nKiqhodsvLQvn175dOuXbu6j53j33bOxhERERER0fXt+PHjeG/1Cm2IiIiIriaNOy/aA5D28fZbumtrL4hPDWpqar0PTg69fYg21FB78e3BFX7w9/eHn5/8NAxQOn4cNR4mIiIiIiIamjAC+7P2aENERER0NXEXnHT81Acna3wLTr636n1tTL2LFy7g1OpP6oKNzoKODEQS0bWoX79+Ss8OeRFFRERELeN4XmVwkoiI6OokA4+OGgcl5Uf2npSf2tpa2JoTnHxwxjRtrKqd7Dn5XXul56T8OLu92/5x1HiYiOhqk7w4BfP+OJcXUURERK2A51UiIqKrnww+OmocmJQfNTBZ33OyxS/EkSFGsVyFXAERERERERERERGRa2oMUYYSWxyc9L/AgCQRERERERERERH5ruXBSfaaJCIiIiIiIiIiIh/YY4ktDk52qNX+ICIiIiIiIiIiIvJBi4OTHWvVKKf6ghu+5IZal+1sPnbvOITcszXaGC/VVsP8xV5s/aIYVgbQiYiojjg/HD6EzH0mWGzaKCIiIiIiuszqX57d8uDkBRmY1Abo2mEtRvanm7DwiRQkTU3GzEeX47UPj6LkMl/IWc8asfHDLBw5W62N8dL5ImxddwBp4rsF57Vxl5itwgKL1ccgKhHRla7ciOVzkpVzgeNn7vtGWNrqxx9bNSzllbA1Z/21VSjK2ofUjPxLc06rrYG13AJray67JeklIiIiIrqCyZhii4OTQUpDuWl0UkY/7RFQusrUWpC7YRPe3nAKiEnAI48mYtIIPbp1DkSHFpeYy0QXjjHTRmH6jAREddLGXUI20y4snLsG731hATviENE1qWck7ps4BJPuVz8T4sIQ5KdNu5zEOSr7/ZWY++ouFFi1cVeMGpTs2YC5f/wYmad9/FHNlSs6vURERERE3nEXJ2x/sQVv2w6suYgf1cqFq8PO1uFsxQxaXuGsxTiUUwkYEjBdXIDGxcUiceI4TP9FNHTahait3AzjFznYvecock1l9bdO2yphLjLDXF6JElM+svYdhfFMpRKws5UWITfrEHZ/kQ9zhdbD0D5/aRkKjx0Vy8tBbpH7AJ99OVmHi1BiX04TfggO1SMiNBgBYpttFWL5pmIxv1if8SiyPj+EbKPDLd/26aXFMGaLdO0zoqC0/sLSKsYXFjmks7YaJcp2i3ms4runLWJaDSxnzcpyeKsgEV1rdFEG3HXvcIwZq35GxoQA5aJuNJkb1sWyThTjzN9Ww3Ja1IlnytTzwR6t3m1UP7qt08WyCg7Lc404N5wQdWuVqGfPFMMsu2xWifrcVKTWw5I8n8j6XZyXjPI8Yq+vJVln5xnFtBxk5xWj0kMdbbNo5wLlHOd4ThLrV9KkntcUVRaxHWoe2MS5ouhstVh3FUrkfOLcYJPb6e48Zz8PWurTLtdfWCTPJW7SS0RERER0BfI2DmgfJae1Syv9v4vtZfTGjf3/PoChtw/Be6vex4Mzpmljga7f1yLS2h4BAQEI8PdHez8/tG/fTnzaKx9lBdraHDfE2UbRFaTKjC2vrcPGr8Mw4ZFxGNNfhwBtktIrZF86Fv7VBIs2Roq6fzKeHKsHzh7C23/ehVz4i+XUX2hFxIXDliMuqrSLxYCY4Xjh4SEI/VbM/7yYv0odr/JHv/t/hTn3iO98mY4/Jxchft40TInpCPO+DCz5az5KtDnF5TLG/M9ETBqk04Y1VcXYmpyKjX5iPfOGIDg3HX96Kx+2IHHR59DzJOoX4/H4LyLFtm0S001o0CnFLwT3/c+vMOFWfxjXpWLRF2F4/KXxiJGrshix/NkMnEgYh3l9jXhFLLsuPwLCMOWlyUjsIfKArmnJi1Mw749zMTRhBPZn7dHGEl1j5G3df86AMW4sXvydoe5HKsl25hCWvyzq8IghWPDwcES0L0bm8nVILbwZDz1+G0re/xs2ntBm1ugGj8KTD8ZDH1jjtk63Fh3AByl7kVWqTRKCbhuKO8/tx6f52ggh9O5xeGGsPzLfS8fGY/XnnaBBw/Hk74cgIqAM2R99jLd3Op61hJ4DsOCZ0YgS54V64hyXvRNL3z2KQocApv6ORMyZHAv9BfX8mN55FP7yaDxCxcnRmrcdz72ch94P34+7Cj/Bwk8d1hMZj2d/F4xPFrk+zwUUH8CS5/fih1+o59EAsQ2FGR/iuU86YvrTd8D64UdIy9O+JijpnRzdNr1WiS4xnleJiIiuDfa3cEv2v+W/8nPhwgXtI/6urYWtpgbtPQUm3ekkGu5qAFIMOEQ86SoXGIaR9xkQWlWMja+vwtNvbsduY5nWC8UfoeKC78GHx2LBaw9h2WvjcF8kULDvGAplZM/PXw1kBukxaf4UpLw6Fok9gMLss+j263F4/a0kPD5WB5sxD7ml4iKyvRbA6x6J6X+egRSxvAkxwPEt+3CouFEPGnGBnL5eXMT2NOChl2ZgWfJ4TOhjwdZNhzzf6tYeynbZdNHKeuq2+/BJmGUnFLEdcroubgieFOl6/ZnhiNOVYcvmHBS666RyAbghdhwWPx+PCJH2mGlJWLlqCgOTRHTNsWTtwtuvp+K1V8Xn9Q3YeNiCgB6xmPS7aAQdO4DUHUbk/nMb0nKDMWZaIhJCOyo91+GnQ+IfJiPlrSl4ZGwILF9kYeuXFvd1uqUMhzZlIet8GO57VH43CQvmjcYjE+Pw6z/NwCPDOorzhgFPLp2H1x8IR8m/d2HjMSDmfnGeWfoQXvh9NAIOZyH9cBmsBTnYuNOC0BGj8MISUb/Pj0e/BgFJB5Z8bPnwKAq7yXNFElKWTMZD94TA/LlYfrY4D2qzOdcBUROT8Po0vUh3CCY8Pwdrnh+F8GAfznONdQjFmKcap5eBSSIiIiK6utXFDsU/8s9mP0GwY81F3CBa6bKnpH2hdctmgPIq5w/doNFY8PxoTBgWgsrDR7H61TVYuMmk3tYcFIaoiGBYT+fjUG6R+kIBa5Vyq54SmBSlSj9iCEb2D4MuTI/oCHFh1qMP7h0RjVBdCCKixHhbJc5V1CoXrgFy/oR4xPfWQdc9GiPvjIRO3sr3TcOooPXsGZwQ17NBnYESeWvcF0U4J3tonjGjsNzDBZ5yIdcRI+9PxEixnqBuYrsig8VCK9U0adPj7xgEQ/dghPaJxb0JYvqZYpxpszc+EBFd6fwRGpeIB+/RoWBTBt7YUIyI8aMx7la1N7tSx/cZgMRYPXS6MMTcEYuYoGoUnCxHmbs6/fQ3OF5Qg6C4WNylfDcEUTEDRP3cUVluA7bzKPyqTPzREUGVZmT/+zByT1ejA2pQVFCKb+Qt034hGJk4ABFdRf1uiMXIGOc/IFnNp2AsB/qNTsDQ3iHQddUjYXQc4oJqUOD4KBAf+HKeIyIiIiK61jmLITY7ONm5+gI6XFQXon4a3sZNVzt/6CIH4L7fJ2Hxq2MxJhIo3JaFQ8XVsBzOwMInNuCNt3Zhy+cmFIkLObi5YAtQI3/1lFJXA5vNeUAxIDhQXFTW4tz5qga9VGxVVfhB/Gs1GrFx/QGkrT+EzDyxDFs1rF6+wtSxo7Dyt9yGC+pwQ34I6BwIVFfiHK8diYigSxiFR+ZPwRNPic/8iZhgf5yGXzAMIwegn/x1qnMk7krQu+zZFxDYEUFivkpLFaxW13V6RdX3SiAwuFOg+qOXO7W18vcxoRJZnx5C2kcHsDGjSLlVvPK8FRUVohIP6AhdoIuNcqCeZzrihk4d69fbMRBdgsR2nq9Wtrc1uDrPERERERFdDxrHEpsVnGx3EbjhhwvaQuxBSW2ixjFI6epvujoE9YjGyKEh4qrNAnNxCfZnGGEOj8WCd+fi9RcnY9KwYG3O1lCDyhKLuMT0Q6iu4UVpwA3BkGuK+u1krFw7D2vqPjNwX6ST3jQtUVsNS4m42u0YjC6dxAWt3JALIgsax0DtR5C85m12qJ+I6CpWZcbu9Vk4LqNsFSZs3GJUe9Q7Yav4Dt9ZgeCuwQjq4rpO/2WUDqFBwLlicT5w+gOSAz8/dOnsD3SNxuNvOS5nHpY9PAChXTsioKoSJRWef8QKCJbbVI3S0voX3tjOW1ByHujSTUyTp4MW1/WNznPt/WR/Udg8pZOIiIiI6CrhbUxQDspxzWpi676vhc4mX3yjBiXFf8VYe9RT/UiNV0pXidpKFGQdQvYx+fZRcUF3Igdbd5fJqzZxIeWn9TishrWqGpb/HMO/cyvV77WAedsu7D5RCesZI7ZmFMHaLRwDIxoGPYPCeiGmJ1CQeQi5Z9Vel9Yz+cg6XNwKPU/kpWE1MjdlwVhejZIvs5C+pxJB/aPRW9cRQbIXpfU7mL8VF6zlReJCfBey5DsP7BeTIm+C/WpgsYjpIs8av42WiOhqZysvQ+GJIhRon8Iz8o3Y1SjYth2puX5ImDFeeaZwiXw+4xf1z2e0GQ8i/WAxrBYz9mccxHGbDnH9QxDirk7vpMfAmGDYDmch7XOT8pZu61kx7Zhcrj+CgkSdba2ERT6aw/ojhMfoEVSej637xPlDxiBtFhRkH0WBqKdD+/RBdIAFmVsOokDW77kHkJ4l1uckVhnUPRwxPcQ2bdmFrWJdllITdovzQm5VMOLkOgLE+eAGf9hKilFqFefAoqPYmHoUJQ4L6xDUEQG1VThXUSXSLM4J2iRX57mAwGB06QicM5fhnHwj9+FdSP1EnHNra7Q8bJReC7vzExEREdHVxzFWWB87FP+K//kcnPS7CHSpvoB2jm/lVv6uD0rSVa66DEc+ky8+WIf5c5Zj/ovigsqmx32/vwdDbw5FzJ3RCBUXV288thRzX9yLXCVIJy6iPHdKca2qGGkvLsfsp7YjszQM900dBUOjF3DL2wUnzBmNMToT3n4iBUlTk8X86XhvWx7Mnl6I4y1TDhaJdM1PzkFBDwMeHN8foQH+0Mf0R1ynMmwU2zjzsQ1IOxWMUBmk1dIccKMecVFA4aYNmD0nFekFLQ/YEhFdSay5B/DGyxuw8EX189yKHOTl7sLqTWXQ35OIybdHIua+0ZjQpxpZH27HfrP9pCCGV6Vi9qPrsHofEPPbRNzbO9h9nV4djJjxYzF9RCCyP9yEubNSMPsJOa0AJbZg6G8NR2hFEZY/sRxzVx1HwNCxePyBSJSsF3Xw9GQkzViFhW/tw25RF8uX9tw/NRrBYvsXyvr9TRlMFJydt3TRGCe2KbGHfCHcGsydtwmp2YEYOWMcxt0qtjlAB4NIpzwHLnpUnAOf3QljoE7pXG8Ty1MCiRG9YOhciczkVZj9zDbkVihLdn2e6xSOocN0sOzbjvmzluPpt/MB+0vV5Pb5NU6v2H7+AEZEREREVzkZQ1RiifLzN0t+/fu9Xdj/7wMYevsQvLfqfcyfPAXhlaL57e8nPgHKv35+fvWBSocIqD1Y2fhfugrIW+DOFKPIbEHATTfDcEtIg+c1Ws+aYDSdhy6yD/QB8pY3P4T2CEEQ5PcssHUKgb6rvNVa9nYpVi8me4gLOLkMaxkKz1YjqLseodYcvP1sJs6MGI1JvapxDiEwxNyMUNlLRJLznhHz9girH1dbA8vXYv2FlQjS34wosW1Nn28m5hHbfw46sd5gBIjlmMU6A+Q6tbe0WkvFdlnFdv84BLYv0/Hn5CIMnHEPBtaWw9ZVXGQbwpRno9WRLy/4ygxrl3AYegbi3NkyWMWFakR3rYenmG48ZlIuqg1xBuhdvQ2WrhnJi1Mw749zMTRhBPZn7dHGEl1jaqtR8vVZWBoFxAKCOqFL+yqcs/qjS88w6LT60lYh6ttSUd8GXoBx7Xqk1sarPSotfojo3wdR3Ro9hsNtnS7PIadgLBDnolAxrbd9mvhOUT6OFHyHDhE/QVxvNUAIse6CvFMoFXV/eNTN0Ou084Zgs5hh/MqCoF69oIc4b1Vp560m5w9Bpvk/J3HiXCB6GxzOSRrZg95YILZXLCuiU5U474mGUdewuvXZSouQazyDyqCbEd+zGO897+Y8p5DpMaGgxB89+ohpF8phLge6iHOfLtA+3Ul6ia4xPK8SERFdWy5eVEOOjv86fi5cuKB8fApOLk9+C68nPQTdBT/4B9QHJp0FJyUGJ8mjUi04efdELBgfjraK51ly1eBk/LxpmBLT8HZyIld4EUXkRlUxMt9MRRqG44X/GQK9EmS7Dl0h5zmiqwHPq0RERNcWx6Bk438dg5M+3dZdcfwkOte2Q3s/GYhUb+u2ByMbBx4ZkCQiIiIiIiIiIrq+uYoRymH58To42aWyBhXHTVoPSbWnpLqQ+kXYF+qMq/F0ndNFY9KfJmPOHd3btDeJLmoYnnx+PMZEsdckEVGrCOyK+KmTsWBqf4Rer70mpSvkPEdEREREdLm5iwU6TvMqOHmx/Dt0k6+/lF0ttcCkGpxUe1C6CkoyIEkeyTeAh+u151O2oaAQ6CPrn0dJREQt5Q9dDz0i5HN/tTHXpSvlPEdERERE1IYcY4T2v+3xRI/ByUDbBcB0FsEX1C/62W/pbqf2nJTsC3McdtR4mIiIiIiIiIiIiK5trmKE8t+6j7sX4nSouYjQ737AxrdXY/bs32PevCdhMBiULzo+b1Jq/K8jZ+OIiK4F8sH9D06fhX79+mljiIiIqLn4QhwiIqJrj/1FOFLjl+LIj8vgZAfbBXT7zoaQHy5i1co1eHjOQ/D391fe0F3/3Ek1OGkPVEqu/iUiIiIiIvKEwUkiIqJrj2NQsvG/ToOTHatr0e28DTdWQwlIrvzrasx55A8Yc8/P3QYdGYgkouuJ7C353uoVykUUERERtYzjeZXBSSIiomuLPRgpOQYmnQYng601SmCyc007JTDp5+eHFctX4dG5szH67rH41+c7tJ6T9bd1OwYsHQOUjn8TEV1rkhen8PYzIiKiVsLzKhER0bWtcYDSPlz3Qpz2Fy6i63c/oIfFHpj0U15+I4OT9mCkJN/Q3Tgg6fivHQOTREREREREREREJLmKHSoRx6Dva3BTeTVu+q4GQe3aaz0m7R81GCmfMal8QXvOpOTqXyIiIiIiIiIiIiJnHGOJ7UO/rcaPv/0BN1ZfqLuNW/aatH/ksDKjFpR09rEvzM7xbyIiIiIiIiIiIiJn8cP2oZW1CGzXHgEBAVpAUv6rBikbP1tSsv/deJyd499EREREREREREREdo3jiO0DAvy1YKT6r723pF97GZxUA5TKjHXPnKwPSkqu/iYiul4VZqzBzKnJWLijTBtzueUjVaw/aWo6jNqYq9u1lp5LqTl5da3mL4+Dq41xrUxfMlKPaSMutWPpyvqS1uZrI64htmpYq2q0Ae+V7Fij5Enrnb/KkPmi3K9rkFmqjSIiIiISHGOI7dWApD1AqQYmlR6TfmqvycY9J+0aj2s8nchXln3rMHPWdhRow0RXpyLszwjGg+/Ow4K7Q9SL3xcPoESb2nzqBZ73F+3ReHLtOBi0IZw5iuWvLsfsGerF/8xHU7HRWKlN9EY1CndswtOzmvt9obYYu99Zjpmu8sPl9GhMEWlJ1IY88zWvrnQt3PfSmRysfjlFCZonzVqK1zaZYK3VpvmcvzJI1laBhlbIC+nMIbw9r/kBGKvpEFbbjydfj2+X5bwYWX9Nxfw56jHW8v10ZRwHSrDLh+Bf4vx5mNJfG5D1zp50vPZoSn2efGSEpS5P3FHTr3yv0aduv/cfhzXzo9W/vdFq9fmlV/L5Osxeb1L/9nEfRD2QpJ6/HNVWwrhJ/vDmJDheW4asd1epx8OMFDz9bg5K6vZRCBL/nIQpvbVBIiIiIgf2WKISnFR7TfrBX/yrBiTtt3Q3vXVb/mv/XA7yV/TW7H1kNWYi7QuLNtS2WjttrcXXRmzziEbuJ9uRXa4NCrphk7FyxWhEacNXpdIDWNiavVpO52D5DvXios21dtquWdWwVXSELkgbvFLcqMe4qdOQsmIe1qydi8Vz9TC+mo6sCm26B7bsz7Bwvw6zFsvvz0PKY+EwJm/Cbm+r09KjWP3/27sfuKiq/H/8rwJWPqCNieDHySAS7DOtov5AxY+mrZSRn6/sfjA33Ufmn/SjmeVDrbYt+6NhZq26bGa6qWn4VVyTTdzIP40bJDkafCPk092VUYJsXECISZhgB3Z/99x7BwaYGWYAQ+31fDxG595z5957zj33ztw355z79F4csgWjrzarlY7Su6LdedSTwTWh4+1363dVvYQtz59AwJT5eFs+djs3/RIxUiY2ZF+Z75+r+3u7EZWmTDz1Uh6+7xeszfONrSgTv1lTgID7ktXz6YUxCNXSOuSxnvfD4Cn3YdVG9Rzb+VoSBhdlYIvJxz8CXAW6rw40wnZjJB58+bHmMjGUZGHdkQot3RMRFNPK0vHaMR2J/XSIG9om8Ha1uZq++4XLZTi8YRs2nPNDhDbLmfm9vdjrNwarxPmwdQ6S/E4g5b0yLZWIiIioYzeKlpIiMKm0kNRaSoqgpHOLSedApKvAZNvpq1ndha9htvrezYW6Wz0sX1hQ809tklyrKYPJwvpK3SAwBPqBvRDgJyb8oRtswPABVfjKm3t8WenfvkbE2BGI6KNOB0UOxdjwCpR+rU53xPq3EtT9YiZenzsEOm2es47Su+QaPI+69bvKXAyTYTymjdSCcQFhSJxhgOWkGVfHn+o8697v7QacK2rA1JfmY+7oQG2eD5rKkLm9DMOfmIVZI8O088l7nuu5P0IHhSEoQJvUhWPs8GCYL1x9f8T84QTDMG4YInT+6qRcJlOnRsPyeUmn6q4tPw/GIWMwYaA242p1tV2zKorxZXgSUpfHtw9O1kv46JgO0x4chlBxPvjpEP9gPG45VgDJqxauRERE9GMnYopKcFIEIpu7c2svxwKOwKPjvXiJlnWL95W1pBdlKl3FNuS2/HVfLNP8V3NbCQ68uknrTrYFW3Ld/9C2lZxSulrNma12Cym1awkaa+HR5u49C57JgLGkQUuRie42uySllUWK0i1K61qiJYu/5D+1uwrm3WI8HVetVkQXIHn+xQrkvLVF2d8FS3bi0DmnH4gd5KUyNwPPal2yFq8xwmzTEmQd5c2ZWn4VsHyidaOcn4qUg2Vo+YjWxbJ5W0dR6NQKsZ3yAmx5Tu3SJ/J04KxTuVVLSH9JLVOxz1KrllQuuoWJFnTO3ZouO5fJJry2rwRKtsV6HfPF/ovuacoH1FZDaeeqkCbKw7Gutuu1WWB06iaU0qorl1hHJgrFtrWuiqI+mFy1RGqSl52/16mFmNbVa4lTF3KxzMJM7Yd0A8wZaViqdF9t2z2pjSYrCveo4wsq5SrVagkaj3nwXN+UFqyvFwPH1TGxXHbN66DOC57qpMf63FHenHmxH63qg9jWMYtWH65zotugo2WVF+Xk/hqntgJq6e7YBfUVkPYbkakbhYTbtHkdiLjjVpRmZcvnmHY9LDfj5Dd6RN+qTnZENy4Jj98Vpk2111G6b1rKytN5ZK+U66S764fH+uqi5aNybFtanNvOtj7GhUecvhM17rbf/ruqG4+9s7PlsGhvfSO6F89BQn91qsPvNk9l6fP3dlfLIhjx86djwkAt2OUrqQDGoGFIjOmlzfCN1/W8qQGWIiN2ZAVj2t3h2kxfOZdVz/2+Cb13DnbO9qHrdAcqy6sREBHWiT9iyHk/aEFCwjB0umG78/UcjepvNEeZPJeBnItaeXbh94vra5b6GVPRUeU3YcpxNTTr8Texky4fg8EJWP5gJIJcBeMvVeBcv3BEOR8QnR6GfhUodfWbjIiIiMiFG9Uu3H5KkNHRjVt93/4p3Q6hhkj0/t+vm28ezP9bgQn3RkIqPK8Fz+pwrrAeww2i24z8g3jjB6i8a5baney1iQh+by/SzykLtlYv4d01n6HvQ4sguh2umlqLPJOWJrNLWXjhnVpMeO4xpXvO5iVhOPnqH1vfIBZkY/vZaDyeqnbfib1wAkZtW4bZK/D6QyHKWDo7nW6sWqtF5lYTfpKsdn9LfegmZL5fpN1Iec6L2L8Uow4L14ptL8XKOAvWyT/SlZ+QHeTNFUtWFg4HTMSqzfL6Nk5C/0O5yNcCbJXH/4iU0yGYt2apsr61U+qx/eUsSPVqeiv1JUh7tQCh89U8bX4mSumOaVJ2rAKH12fBPHYm3t4hylSP0k/cB4/bE2WSAWnkL7FZ/vzOzXPx4Lh+6g9/v0DcOX2uWlYbJ0N//AiMF0SCemM7a3AIZq2X01x2iRPr3Y+T+slYq3QTmo8kuxEv7C1xCtCWIe3dMgxf8pi8Dbm8R1fjXaOLbkR+kbgz1oIvHT2kLn+NL4INSNCdh6Tsj+yrEpwcEYko+Ye3KNs3yodhpSj3HfMxI8h99yTLkf14oyQKq7atwNup0xF9XnIaM9ObPLivb8rNhBgLa5J8MySnub0Z91DnPdbJDuqz57y54GE/lDr4shE1d89U68mmZNx2ej82HPelrl0jLpajtE8gHI2f2ungeHV4jdOoY7Tu1c5jL4lAkHwTO0f+XPqlIVj5tHzuednyKyA2Ca887I/MFW/i2Vd34sVNVbh/7UzEd3szx+7l/jyqwoE/VyDO1fWjq/VVXO9fkxDxSMv1/nBG28+6335H31U+H/tbwxEjncCBz7U/IF4uw6H0M7AFdDJA56yj7zZvyrIL39udOg+6wPy/ZQgwBMKsBfi6/w8tIgglr3feJqTss2LsMzORMEBL6rKr4PeNtQAbFqZiQ24nD5hNwqGDjUi6O1Kb4T17vnwO9I3H/UO0GV1kL5LLJMMfM5TfYXJ5PhGPKKWFZ9d+v7i/ZpVh7/EgLNm0Aisn6Xz6vmilq8egrRorKnu3/c7rhaDe8vxWf6EkIiIicu9GP+XBN2ow0jkg6erlcMOttyP2269xTgmUWSAVhiEuORqx+SUwi78M159HQcntMAyS35dLyLEOQ9I47Q5WZ0BiYiDyi9q317AXSq26ngUMkt/fpbyVNaLwYwm3JN+H+AHqDZVInzelDgecA1I3j8SMn4dDp3Qt0ePOIQ2wf68meacBcQ8kNW8jKOoWRNQ1QLml6yAvUq4EQ+JEtdujnz/098RhbOF5mOs7yptrthHjMC8+RO021keP6HB5P5Q/iltgOmxFwvSJ2g9hf+hGTsHDQyR8mO9ibKqzZ2AcEoukyJZtJ42yoOBvjcAFCUY5TzPu07qniTxN8WEsJlEmFU6f9wtGxCBH+UQiZrDWjbCPAWNH1aGmRp3s0IUiHL5owIz/4ziWwYh5cCIMx0zNAVqgNxLleY4yiBgSBlu9q1YD/jDE6JEnqfXELp2HLWYMEkYDX0jqDbKl6DyiYm6Xf1xXIf8vdbhn6gite5K83cQR6CvX7fY11oL8j+uRMGM89OJXuVj2v0a1jJnpVR481Ddveajznuqk5/rcQd5c8bAf9sLPYdTHY6ajPotupbNHwJqRf309AElp/ftX6B8e476s3JaTl9c4jTpGq4/BQdHqRwQets3BrKgybHjazR80XCkvQvo+CwY+OAULfxULg18xtmw/AYu3n7/qhGDGXNfXj67WV+V6f0c8kpyu93OT2x4o99vviM/HXjcCi542oHT7FiU4vfj3f0XE2EggMgR6bZHO6ui7zauy7ML3dqfOgy6wy8fIlv9Nc4Bv55pxQFYGDhQ5tUDsEvHHOzUAuHbOLfjy91uQJnXXuq+C3zdyXVy+dSmWO7bji6Y6FO7PhuXn/42p4velT6qQ84EFE+4f0W3DRkimYkQ9kIAY5RyW8z1AD734y2y3/n5x5o97krXvZB+/L1rpyjEgIiIiukJuFEFHV0FJwfG/M3VeOIaL4Jb4wXzpa3wxKBJRQQaMii1GnnhahrkE+aPkeeIDldUoLc/Ds6IlgPZ6ao8VlTXtwy811u+A/sFuuttYUVMJDLxZC3Zp9IP1Xt/QdZnHvFShUv4Nb3pTe6KkeM3LQg6+Q01tR3nzVR1qynsjtJ82qfBHeFQIbLb2kQLRBQqmo2orD+214RP50Fmt6l+8w3Sd/7EuysTd55278smvdce1+d5w7Jf4Ye8QqEf0YEeA1jdBd9wOvRZgNEvVSqtefawB1pNmVMrHTvoiEMPvEHWrGpVl8o/751rKas7Tp+TjbnUxvpV2HNwVXjfnwXee66Tn+txB3nyk1P+29WSQHjGX651aklwH+o/Byhf+A5Z3T3Ui6PoDXuMCdIi6dxLu7y0hz6sdrYNptxH4xVw8PiUaEeHDMOOlRXik1yns8Kml9bWhq/XV5edvVAMIPSVoSAJWblqhtrB6bjKC/m5B6NBbO3/t13T03XY9nvsRiRObA0LoPwzTEgORU+Dl4Kve8hPjwo7BDHndxtM/wINRrprfN+40QNr9DrYjAcvbPkXaG2fzcaBhGBKGdtd5qJZJqK719Vpxxb77AxHUPEzqVfCb2EH+MRpR2/Z8boCtVodQr58URURERD92SnBSvNx143b831aUIRL5Z7+G7W/nEaS0OFNbp5383zJYzlkQK6cr+so/TgbE4RXREsD55WLsm766m4BLdW66R4UgVA9c/LZ1UFNsKyiwc2M/+cxjXnToK/8Ii39M7d7T8lK7oXnOm6/6ITS8VtxLOGlEmbkKQS2/XJsp246frLbycHqtFD/wRZ4qXAXePGiyt/wIdXy+3ZiMdTC9kwVzTLLalU/e3q8naUneED9226633oLic70Q3JnD3f9WDEcZpOoyfCGFq616B0UituI8zl2S11sbCYPSXTAYfQcEY9qa1mW1c1cSDCK5FbGsfBzcFV5358Fnnuuk5/rcQd58FDqgH9C2nl2woNBT9+dr1cABiOhU4KWHrnHON9Bu1aOuLhi3DXLej14IjwiGpbr1/l4POlVfnR7u1b3X+yvAWoDM472ROK6r7SY7zuv1du4HuDkXA5RmoVdGgN8PENi+an7fuKIGJnc0TMTqh6I7EQStQ87BM4j5eXyXWwq3UMuk7fVa8YN8918Fv4kd+g9AlPzbyux8klst8u+tMEQov6uIiIiIOnajIyjp4AhQOl4Ozu+FAMPtMBQWI7OwEXFD1b/cqq3T8pD5hQ4jDNqP6UFDkagrwI4jFbArP9QaYS0rg8XFr9iAGAPincbFspVk49CnyluFYZwB32Qcgalc7eJkv3BCHSw+wbfB4i3l38n/yutoF1DrgMe8+CPmbgOkvVkodDxV1F4Fc4n6a62jvPkmBLE/08G4P1t7gqm8H59n4d2zBtwf2/6v+AExI5FwNhvpjvHGmhpRea5M/eE8SIy9eAbpjjxdOoNDh51bQoVAHwFIZ0WbQzlL5RLSt+W3dHEWZRImf/7P2vqUdVvkG9FG1NXLP991OrUrn7UYX4hWta3UwlIpjoNWXs4GGDBhoLyt5vXWoXBfNqR74xGrPS3YN3oYYq0oPvZXmGOitS63agvgz/YXQ4qN1G5a9IhPDEbmrhOwOKJL8o9s80VXLRH0iL07EMZ0bdkmK0zvf45SNbH78lBRrX1enfSe5zrpuT53kDdfDRmGBIsJe01V6rbsFTi8qwC65FjPXcV/ZLrrGudSdZV8bLV6INdF87Hj+LDWgDivhm4LQcQdjfhw36nm88J+IQ8HPm7EhLhu2Lcfgi/nUYf1tR/0g6tQbBbXVPm8OXcKW/a0tG5re70XZZXe6rrqnU5/V7klzvE87FidDduDU9uN39gZHX63ddO53/1l0TlRcUNQczi75RwtP4MDh+u75zyQr7OV8ndN8/VYrlfpYt2xXj51qiuumt83bchlkv+Hd7ADE7HqkWGtWyN661wuDpQOwz2x3Rm0k8vkrmh85XS9lgsMpeXy/z/Qd/8V/b7whV8k4u624sC+M+rDA8XvhX0mfHPvCBiuXMyeiIiIrjPKY7nbBiSdA5Ftp5v1uRXDe5+BsXoIDI7+Wv2jMLZ3CUy4HYObf4CFIGHZdIw9n6k9/fhNrGt+anMbgQY8/Nwo1O3bpnQbejFLh8Tklu47AYYpWD23Nz56We1atHhTBcY+80ufbrBCRw5FlCkDc+a/6fqhPB55zou6f4E4/Pybyv4tWHYIOSL4JnSQN1+FTvolVo6uwo6nRVmk4jdZgXjk+SkwtG84KW87ErOeT0DAkXe0AfzfxNYcK/6hJIYhccUUROXtxeJ58j7LZTpheutWrYbE8eh/fK+ynRczvsPYX8UjQktTyuTJZAwvycKT8ueVdZ8SNyg6jJ0+Ata9YoyzVDy7pxq3jXbObwhiJoTg5PpULFh63EUXWK2sLY71bkNmQAJWz4zsdGubqJ+GI/+YhIiYlmiMITYahaYSxMlpDmrZVmDTMnGM5TJZK99UNI8T1Zr+vul4PNKMlEflZRf/Cd9MGIcJWlq35CFqGBKrTFg6LxUbPm3V9sgrHuukY//c1GfPefORVgf7Gncr9WzOkgx8NXo6lk/q/DlwPfLlGufrg0AqS09ht1wPlGvAvG14I1/X+pohxssUT7B3cyMc9cAsLBp4FuscT6Z9TULo3FmYMVhboCgTC17P860VdheJJzm/9okaEPHI1/Oow/oagrHJw1D2jnx9k79L3jh1E2b+yinKK673zWM8piIlJxj3TPatrnv6rurMQ2BEWSnfFVuLoXtojtpy3qMqGFdvQvpZbdKdjr7buuHc7+6y8KyDfA+e3PocXVOAvt11HnxrweFd72jX41Q8mXpWOcdmOf7Y64bX54FHP9DvG18fxvLtX/Fhbh0qj2Wp9Udev/JafUp7KGNH9bQB+UfP4JYHxykPvPNKB9dCh4ChSVg107+5LixYmwezXZTJD/Pd3+nfxN39QBzRc2rmTMxsOoUXRd1ZuBOZTeOx8gHPQdLuqbdERER0vbjB+l3Vv5Q3bQKQztPrf5uKFU8uxdj4u3DS9Ik2l4jox831tbEM6UtO4bbXpiP+yg7C5oF44q+EOJfDEbhmy92LJy+Mw+YHO9fqxrxvEzIHzcXycS7GYOsWbfMkyjkXt4knhneqNfUPS9q9HgcGeBMU7Crfj72qzecuF2DDbyqQtGnyNdy6uRNl0cV88zzoGhGwyot1fkJ1B7qjnhZlYk6+oXm4oa5eC691lcd2YiumdvO1SgSRDwGLHU/cd19vec9BRET049Q85qQzly0liYjIC+EYO6UO2x9dj5RjPfmwmGKsm52JdqMpuNQIqbCqC11TLZDyQ/CfMVcyIJMJozaluFCC/EgDYq7GgExTFQpNZbA2d4E/gQMf6xA39EoHJh18OfZC+/K1S+dhvus/ruHApINvZdG1fPM86A7G19cjrUib6ECX66kITL5erE0IXb0WXh/Mu3d24/eXCEzuRJpzq+frsN4SERFR19zw3eVqly0nnfGvmERE7fHaSC41WSEdMSItqwSWy0CALgwJ85MwI6arz8YmIrq+8XuViIjox8lly0kiIiLqJD8dDFOS8com9anGb/9+FgOTREREREREbigPxCEiIiIiIiIiIiL6oTE4SURERERERERERD2CwUkiIiIiIiIiIiLqEQxOEhERERERERERUY9gcJKIiIiIiIiIiIh6BIOT1xC7rQ72Jm2CiKgNadd6zJm9HmlF2oxrWhWMq0V+dsJ4SZtF3aQYaXI9mTM7E5I2p0NFmUrdmrOrWJuhrmPBikzkW7VZREREREREncDg5DWjCjm/3YJ0r+8kiegHJwI4q0+hUpvsDpXHdjoFhDqW8NQKzBqqTQi2Ehx4dRMWiMDSwk14LaMENi2pQxey8ZQSxHJ++RDQEprqIGXslLff/nPWQiM2PJeq7tv8VDz71imUNu9cCBJemINZg7XJDqnBzGsqMGstwIaFqUg/q013iQgW+hLIjcavdyXBoE21Ih/3Z+Vj0qoshyZh51PR2oQQjVm7VmDlOAuyi+q0eURERERERL7rfHDyQgG2HCvRJgRfb4y6W8fbt0lGpJ/umSYePbntq9alU0jxNdDhUQVMb52AWZsiojr5nJDPMUMSUneswM7fJsEgZWJLrpfBpBorKgePx+u75M82v9wEtFy5XIbDG7Zhwzk/RGiznNXZe+P+Jx7D22K9bz2EJL/PkLJbgl1L/+H8QN9fbb83dSOwfOtSzBiiTV8NmsqQvr4EQV4GhYP6BMJmq9emiIiIiIiIfNf54GRNGUyWRm3i2lB34WuYrT2zzz257R8PK4pN1T0Q2CC6Sl3MQ2aJATP+TziC/OTpPuGYOt0As7HI+9ad8ud+or31WUUxvgxPQuryeJfBSX3sGBgG+KsTASGI//kI6E+XXL9/YLjqvzcbIe3NgnnKVCS5OmBERERERERXQKeCk0o3w9eLgePqGFTOXb/slRLS16jd9BY8kwGTc0uUajmtuXvhFmw5ZnHqXuii5YroIunUndF21oiUJaJboej+V4DCIzuRcqxKS1W5274Yi+2p3VUw75b33V0LGaX7YRqWLlS3sfTVo5Auq0nWwqN47YlUJb9ivcaSBjVBUPZTUlpHOu+f4+bf5baVz5yBtGeLvK9pMFbL82wWGN/ahsXz1S6OKXskWL0aY1J0Z5TXe7ECOW+J9cn7uGQnDp1zvgluQOmxDDyr7N96LF5zFIVim201ycdh/l6YtHw3j/u25GhLwEAsszATkrZvlbnO6zXC7K7PaJMVhXtE9051/w5ItVqCg6d97CCPWitMo1yP1slpvnSDJeo2ouvrC2MQ6vN51ACz07VHuX5o51fovXOwc7Zzd1rv2b+uguWnAxEhApMO4QMRc64cF70dv7bsM7yg7JeH64Y7gxOw/MFINTDqjcpqWCJDoNcmfSO6gTt1aW/VnV3+vsl1/q4Q15r9eEpca5W08lZ/1GjflV67/jR/bzTC8onTteq5DORclK9FyjXOcRxbXw9df2+2Xa/n67RYR8qxCnXbYhvie+Jgmbbvopv1HCT0VyY6xVaUhR2lI7Hw3hAEaPOIiIiIiIiutE4FJ5WbZTH21CT5RnyX8/hmVTjw5wrELRHd9JZi5ehqvGssU5PqS5D2shE1d8/EZtG9cFMybju9HxuOtw4uulUv4d3XJEQ8skje5lKsmlqLwxltP+t++4bZK/D6QyGIekjedzc3cJXH5f2RIvHrTaLr4mNY/asR0AfJN/hSFl54pxYTnntMye/mJWE4+eofWwc4C7Kx/Ww0Hk+VP7tjOmIvnIDxnJrkdtufZeOjkGS5PGYhoZ98k7pxP07qJ2PtVnkdW+cjyW7EC3tLvGwJWIvMrSb8JHm+0kUy9aGbkPl+UXPwt/L4H5FyOgTz1ixVym/tlHpsfzkLUtveeH6RuDPWgi8dPQ8vf40vgg1I0J2HdEGb91UJTo6IRJSfWjYpRh0WrhX5lss8zoJ1bxXAVQd2y5H9eKMkCqu2rcDbqdMRfV5q1UKq4330kMf+Y7ByVxISlHHU5H3pZDCHqFv4eB6Juv9G+TCs3CzOo/mYEXQCKe9p105n2hiFG3K9GyKixvodEBTYOtAUGIhgVKPyW23aE79+SJybjNXKfsnn99gqbHn5KMzeBjZ90VQlX9OLEXvvCOi0WZ0nrqcfoPKuWWqX8dcmIvi9vUjXrsn2/A+QktULs9bL15rN8rW2Vj4WapJX7EXydS/DHzOUa5V8LXoiHlE6f7m8/BFkmKiV1yIsGiBh6zGL8hn335stvLlOW7KycDhgIlaJbWychP6HcpHfHARvYc3diwUL98Lk7WgiNgnp2+swbckYhGqzvBEc1AulZgtsV6JOEBERERHRj0I3PxAnBDPmTlRv0uCPiCFhsNWrLQzthZ/DqI/HzPgQBIhWNAFhSJw9AtaMfK+68NkLJZjuiEfSyGBlOmDQeMxNbnsL6377HatCfk4tEmaMh165k/eHLjwMOr9GFH4s4Zbk+xCvdT8U2543pQ4HHIFX4eaRmPHzcHl5+b2fHncOaYD9ezXJraBhmHZfmFoeF4pw+KLa/VJdRzBiHpwIwzGTyxvP9hoQ90BS8z4GRd2CiLoGqCPLWWA6bEXC9Jay0Y2cgoeHSPgwv+3Yc/4wxOiRJ6l5s0vnYYsZg4TRwBeSGgy2FJ1HVMztSsBDypVgSJyIiD7yhHxjrr8nDmMLz8PcbggyC/I/rm8pX5G//xqFKDVR5s0+esoj0dXEl/NIvvb8pQ73TB2BUMe5nzgCffNL5LOiDW2MwuXjuh6+84phPGbE67Vrknx+T5qMpN5ncLJbHuDirBGWj7JgjEjCw6N7afO6oFxCjnUYkhzlpDMgMTEQ+UWiROVr+ukSGB5IQIwWUNTfF48J6pJekUzFiHJ8XhYwQK/8IQsIRtRIp2t4fDgqa7y9Qnl3nbaNGId5ju/RPnpEh8vXQBdfc7pxM/H21pmI96qqNCB/lxHyl6qXy7cIih+HadW5WLymex8ERUREREREPx7dHJx0T2nBE6Zr3SJmkB4xl+u9ahno8vM3qjeG3aMalWW9EdruxsyKGvmOa+DNalDUQT9Y70Pg043eTi2axIMnRP7EDadDoHzjOdj1jadv6lBTLuetnzap8Ed4VIjLBxkE3XE79FpgxCxVY7ghBPpYA6wnzfLNZxWkLwIx/A5RHlWolBcyval2d1de87KQg+9Q07bHtmMf3N74+raPRFc7788jce2pw4HntHNIvJ4+hdJyq8sWyL4IHSCfUPL50+oaW18vn239EHqzNu0TOQ9iLMJubiVXeWwvXswbgqcfioYS4+uqymq5/PKUJ047yvSpPfI1VgkUqtf0UF3ra7r31Ouey8+36datdOP2Wk9eA8vwpakBOes3NZfXuuOA8XXx3vNDy2ymXBzoNw6bn/OtxSUREREREZHDDxacVG6SK9rcbF+woLBPmy6Hzv6p/S/rq7sJuFTnNEZldwtG3wG14p62jRCE6oGL37Zu/WI5Z0FQYDe08HGQ70gjRPk43/TXW1B8rheCu7yZfggNb5u3RpSZqxAUFKhNO+l/K4bLN6tSdRm+kMJhGCTPGxSJ2IrzOHdJ3qfaSBiUruk69JXvRuMfU7s2trxcdZvXytdttMXHfSS62nl9HolzIxjT1jifQ+Llw1Ox3dEPQNT/XkSp83Wl7CIKBw/AQOc/hHirqQRfFvRCwL9p092g8ngaXjwdjpXLxqgtR7tDX538nROHV1qVp/xShntQr1uVVt/aXNubI7zq59t+Jwg2UxY2mCOxPFW7Jopu3F7ryWugGK+ydVn9ehKQ8JR477ke1tkaEBGl935cUSIiIiIioja6FpysqFaDad60ohkyDAkWE/aaqmAXy9srcHhXAXTJsVrX3n7QD65CsVnc8DXCeu4UtuxxDNgGBMQYEC+dwIHP1RtC+4U8pB/2crxKJ5by7+R/xYML1OkWesTf2xvG/dnNT9W2l5eh1AoYxhnwTcYRmMq1+RdOYEdWMKYlhCvT3nK/bdkAAyYMlJD+5zKtTOtQuC8b0r3xiBVdprskBLE/0znlTS7fz7Pw7lkD7o911XpID0OsFcXH/gpzTLR2fMIxfJQFn+0vhhQbqT2wwh8xdxuUp7sWOp5Ebq+CucRVBFKP2LsDYUw/AYu4yW+ywvT+5yhVE2W+7qM7VljEzX2Ttj9EPcbb80i+9iQGI3OXdm4IVgvMF7vcZBroH4Wx2nVFGRPwchkO7ZcQlTDUu1ZuZWeQc86qXbOrYNr+AYwDRyFhsJrcNQ0oPZiGF/OHYOUzExHRLU0mNYOGIlFXgB1HKtR9F9eTsjJYlL9uydet0ZGQ3jOq1y35Wlt60IQcp7+ShQ7sh4Cz8vVfy3fhnkPIvKimKZ+/KxpfOX0nyCtHabm8aIM83bc3QgP8lfVKhRVqujO335vddQ0kIiIiIiK6tnQ+OBk1DIlVJiydl4oNn3rR+TAwErOeT0Bf424snrcec5Zk4KvR07F8Uoi2QAjGJg9D2TtbMGf+m3jj1E2Y+atILU0WaMDDTxtQul1On52KlJxg3DPZ8VnvhI4ciihThrL+dO3BCM5C752JXw+3YMfTajflpdv+qrTUDDBMweq5vfHRy+r8xZsqMPaZX/r0VNSOti3yn7BsOsZasvCkKJ+F25AZkIDVMyPdtyz1QeikX2Ll6Cotb6n4TVYgHnl+CgxuGuRE/TQc+cckRMS0HANDbDQKTSWIk9Mc1LIJxOHn31TKZsGyQ8ipdB0Y1N83HY9HmpHyqJy/xX/CNxPGtRrnzdd9bC8ScVPqkL5M3o/fFXW5SyxRV3l7Hql1vwKb5LqrnEdrsyG5GmvWxwfiqNeVJBikTPlaLa/7yUxIhiQsGucIdomnRW9CupsxJG111cjbsVO9Zj+6Gx8FjMeqZ5y674qn5IsnkLcLtHmjDDkZFbAVncCzYv1yvtWX527E0q71eO2Tjlo9atfT83K+lS7Wb2JdRklzy/uA2P/CyimNSBfXmoVpyOwfh2nOf2syjMOMfkVIkfdrwfPZqBw7uVV6wNAkrJrp3/ydsGBtHsz2Rujix2Pq5WylrBc8dwSW2yOdxtWVdfC92fVrYAufH4hDRERERETUQ264XPvtv7T3bq3/bSpWPLkUY+PvwknTJ9rcniftXo8DA+Zg5b2+BSmJiLrD1XZtFIG7vFjXT4J26XIBNvymAkmbJrcOonnJlrsXT14Yh80P+taK3HsieHoIWOwYKqIM6UtycdvamYjvcovyH7NipM2WEOfr0AFFmZiTb9C6x6tKM7bI38OzsLw54E1E1HlX6z0HERERXVk/2JiTXdZUhUJTGaxat0fRtfrAxzrEDWVgkojIQTzEJK1Im+iAeIq4+a7/6FRgUnQ7lgqrMCHuSgYmdyLNuaX5hRLkRxoQw8BkNyjGug5aqbYiApOtHvAjApzrkZKrx8ShDEwSEREREVHnXTstJ5uskI4YkZZVAstlIEAXhoT5SZgR4/bxz0REVxRbeBAREXUffq8SERH9OF07LSf9dDBMScYrm9Qnib79+1kMTBIREREREREREV3Drp3gJBEREREREREREV1XGJwkIiIiIiIiIiKiHuHTmJOPzFuIO++8U5tLRES8NhIREXUfjjlJRET04+NTcJKIiIiIiOhKYnCSiIjox8Wr4KRoFfTll19qU0RERERERFcOg5NEREQ/Hl4FJ4mIiIiIiIiIiIi6Gx+IQ0RERERERERERD2CwUkiIiIiIiIiIiLqEQxOEhERERERERERUY9gcJKIiIiIiIiIiIh6hHfByWoJW5asx5xlmci/1KjNlF0uQdrT67F02xlYm7R5njQ1wlZthc2uTRMREREREREREdGPlm8tJ6uLceBwiXeByHYaUfnJfix98k8wXmjQ5hEREREREREREdGPlc/dui3HsvHR2TptyoWmBlSek2D6JA+m/BJYLqstLe2XKlBW3gB7Uz0qL1hQesEqvxcpjbCWFSP/kwLkSxWwslUlERERERERERHRj8INl2u//Zf23j3RrfuFLOT31iHoohXWIXFYtWwiIppKkPZyBvKGTMbqucOgs5XB+G4m0k47tYzsE4ZpjyXCUHQQKX+2ajNlkWIdQ3Hpg0N440iVNlPWPxKLnkxC/EB/2Ery8GGOFbf8bDziw3tpCxAREREREREREdH1wKeWk32HxmHmvTrgbAEOmCpg+6eWoPzfiNJPs5F2ugkxyVPwyu8X4ZWnxiD2xgoc2FMI/NccvD5XjwC/EEx7aQl2vjQRoV/nI/1IFXTx47Fy/SKkvjAeMbYSHDhaDGtTI2rMEg4dL8CnZivYoJKIiIiIiIiIiOj64lu37ht1MCSOw4T+jSjMyEZeeb2WILNbUVpUDQyIxv2TDNDrgqEfOgpJCTrgm69hvtR2oMpGVH5lQaX8rm9gLcynP8dJyQoEAJVmeX6DP/R3J+P1NXOw6K4wMZuIiIiIiIiIiIiuIz6PORlwczSmTo+E7nIZDhwqRqWIT97oD/yzCbb6RiAoGEHNkUQ/BPTphYCmetSpA0w6aYL9e3U8ytKPC5C+7xTS959Boej5bRNjU8r/BwQjdFCI0/qIiIiIiIiIiIjoeuFzcBLwR2jseEyL9Ye1sFgNJqJRXpMf+vbxB6qtuGRTg47i4TjWv9fBHhCMvkF+6rxmfgi6SYwjGYypzy3Bzl0rWl7rp8DQR12KiIiIiIiIiIiIrk+dCE7KAsIw9hfxuNO5RWOADuExYQiwFuPAoSKUVlthyc9F+vE6BBiGwHCzH34SpLairLlcD5u1AcFRkYgKqIPx2BlYlB7ijaiUziC/TH2gjr26BMasPJitWrCTiIiIiIiIiIiIrht+zz77zEvae/e+v4S8vxTj21sN+NnQmxFwo/xBXSgG3HgOOV9+j8CIwfjZyIEIvTUc0b0vIT+zAB8c+X8wflYBDI3DotljEHWTP/z8G1Bq+htyP/5/+OBEFaKnJCDB0IQLx05iz3sn8f77p3DsxDmU/9sgjDH0QfWnWdi490tYQoZg7OBgtG17SURERERERERERNeuGy7Xfvsv7b17TQ2o/KYK9qAQ6PuLrtgaex0sF62w9wpBxICW+fbLFTBL5bD/ezgM4bpWD7OxXypDoXQRdUG3Im6EHkpvb7Gev52HudYf+ohwRA0M1ha2otRch75Reug47iQREREREREREdF1xbvgJBEREREREREREVE369yYk0RERERERERERERdxOAkERERERERERER9QgGJ4mIiIiIiIiIiKhHMDhJREREREREREREPYLBSSIiIiIiIiIiIuoRDE4SERERERERERFRj2BwkoiIiIiIiIiIiHoEg5NEV5umBthsjdoEEREREREREdH164bLtd/+S3vfsaY6SAf3Y8PBfli+KwkGbXZrVTCu3om0c9pkK9H4tdvPEV2rynDgif04lzwfT9+t0+Z1QVEm5mQMwOsvjEGoNouIiIiIiIiI6HrkfcvJy2U4vGEbNpzzQ4Q2y7UQJLywAjt3iVcSEuTpWetbpkVgsvLYTszZVawufo2Rdq1HyrEqbYo6VgHTWydg1qZ8dukUUmZnQtImWxFBvNWnUKlN9pxwTPv9iu4JTBIRERERERER/Yh4H5ysKMaX4UlIXR7fQXCSyJkVxaZq2LUpIiIiIiIiIiIiB9+6dSuKkTZbQpxX3bPFsrnQr5+DhP7aLJloOfmUJRar9MXY+l4JLE3+iJr63/j1z8MR4FgmNwMb98ppl4GgISOwfFkCooK0RAfRqu4lK2ZsmowoMd0kb29hJoyGBGxeMQLK4mKZzcBCpYtsA0qPfYCtBx3rHYZFj05GTD+xoOiOfgj2Xxjw5R9OQIpPxtsPRcJWcgrbN51A/iV/6OMnYkKAEXkRc7Dy3hCg+gx2rD+OkxcaAV0YkpbOxNTB/mJlTlpvM2BgJB5Zloz4AWqqKIut/xyDsUVHkS5FY/m2KTDYSnDg9x/gsNQAe2Aw4h+ejkXj5O211WRF/rv7sT3XCptfL9w5JQnLHGVYXoAtv89Gvti3PiFIfGImpg3pJSdo+ZweC8uu48i5CDlf8Vg4ewwiRIHJ6yzcl4nt2RWw1rcte1dlpHefP1H2K5xaTU5Kws7Z0R72TaZs/09440iVmvbgrZC21WGaq/qmdH8OxqK4CrybYZHLwKmszh7F4nQdVjl3jb6YjWd3B+PXT8WhVRvHagnpfzDCKMo7QK6LcjkuT45U608btpJsbNlYgEJrI4IGReJhkVe5bosWtXmxKzBrqLyQ2K/8aGwebcGGNwtgvqzWnWWPjmjeF9tZIzb8viVtxu0FyLxxqlqv2nbr7nJ9UM/Z6Jd0+HR9Hgrr5TxOmozHHzRA5yd/rqP8X8zDlk252vHSIfaBJDxyd5i83gaYM/4oHytRV7Q8/o+cR7FOIiIiIiIiIiIv9NwDcT7JhbHPRKzavAI7N05C/0O5yL+sJtmlLKQYdVi4Vk7bsRQr4yxY91YBrGpyi/63YnhQGczl2vRXJZDuMiBeOg+pXp1l+9t5WIffqgR5Ko//ESmnQzBvzVLs3LUUa6fUY/vLWc3LArXI3F+Oe+R0EZhEvYR313yGvg8tUpZfNbUWeSZtUZmUdRSWcTPx9q4VeHv9FMT3bxuYFHoBAwxYtlF0a5fXMeE7bMk406oloUXOu2XSfLwtApMiALjxA1TeNUtZ787XJiL4vb1IdzWG59lcbPn6P7Byq7zc5kWYOy5EDUzWlyDt1QKEzpfXKa9j8zNRkNZnwNRcgLX48JgViS/L5bBjPmYEfYaU3ZK6T37+CDJMxGpxXHYswqIBErYesyifUrUpI0/56z8GK5Wu/WKsUTldBCY72DfLkf14oyQKq7bJZZo6HdHnJc9dws9JKOg3BZvl5Xe+NBSX3tHKasgIJDWcQf5FdTHBclpC//80tA5MCn6BuHP6XLW8N06G/vgRGC9oaa1YcXLPGfSdO1/Oq7zvT0+EobeW1FZBNrafjcbjqaIcpyP2wgkYHcdQ1KvXJEQ80lKvDme4GyqgG+qDogwfng7DI2J/3pqJuJIsrDtSoSZ5yn99MdLWmBD8gHq83t7437j/Dp2yXnE+vVE+DCuVuiLq0QmkvFemfo6IiIiIiIiIyAs9F5y8KwHz4kMQIFpZ9dEjOrwBdQ1qkpQrwZA4ERF95Ak/f+jvicPYwvMwNwcRHfQwxNbjS3OdMmUpKpOnEzAqtkSeJ+Y0QiqsQuxQvUiF6bAVCdMnIkongoj+0I2cgoeHSPgwX/28aOUYM3UKYpR0wF4owWQYj2kjg5XpgEHy+7uUt80qL5Sjskl+ExCCUDdDDkbEGBCqRInkvIw2IKrShholRWX76RjM0LaBcgk51mFIGqetTGdAYmIg8oucA4ROvq1A2beNSjmF9tfWcfYMjENikRTZst9Joywo+Ju8nKIBcZPGQy/2yS8YMb+IR3RuMSSRDwQjamS42qJOpMWHo7LGUT5C6zISOspfKx73zYL8j+uRMMNp3/5rlNoq1p3BozAtXiurgeMxb6o/cvJEgCwMYxN7IfMvJWpaUwlyPg7DxFitjJzpIhEzWJvfx4Cxo+pQ4zYDDbCUVcEmykoXAl2gOredm0dixs8d5ajHnUMaYP9eTVLq1R3xSHKqV3OT3VSe7qgPit6YkKC1lAwIQ+L0Yag5eVYdr9NT/s9KMEa2nAOinkcMVFvg5v+lDvdM1VpKimOVOAJ980vko0hERERERERE5J2eC066VYVKC2B6MxVzZq9XX/OykIPvUFOrLeIk6qfhkArPwy5/TvqiH+6M6oWY2Ejk5BcrAakvC8Ix/DaxZB1qynsjVOnC7eCP8KgQ2GwtUc/goJagW431O6B/sMvuvYJh5nw80r8IG5em4tm3TqHUpiW0Irp1Z+DZJVpenLs5OwQFtrRwq6xGaXkennXkXX49tcfaJkCoMUzGKw/r8OnGN7H4mQwYS9TobmV5tVyAR7HAaR0bPgEuWdu1PVXpdBiIalR+K78X3ar3pGHpQu2zr7d/cJFzGXmVPyee9007Rm7idN4IkMvSVq+Wg27UCMQc/xz58uG1F3yOk6NGItZVMFF0a351U/M+rTuuzW9Hh4QnpmNCdTZ+Ix/zlD0SrEpA1zdKvQrTtW7BeaNzmTrphvrgUj8d9GXVuCTee8i/crxcngNyfSmrw4HnWvZrztPyOVBubd/CmYiIiIiIiIjIjaswOKlD31Ag/jHR9XqF06v1uJXNoiIRm/81zJe/xhfBt8MQCAQY5P8/K4H5ogWFIyIRJVp2oR9Cw2tFrMdJI8rMVQgKct38ra/uJuBSHVzGHAU/HWKSZ+KVTY9hSYSElAytlZ6zc9lYd9Af05Su5HI+1o/33BKwrw6hA+LwSqu8yy/RJbodf4SOTMByed2bl4bh5Bqj8lRrZb/jJ6vddJ1eyniGrlituCjK52bAZsrCBnMklqdq+/uUq+068TF/nvctGH0HyMeoC9Etu60eQYHa+JWBBowaXYLs/CoUnrZgbJzoht5WHUzvZMEck4zNO9R9+fUkLcmVPuGYMHcWUlPnI8lmxBvZvu9sh/XKWTfUB5eqrbCE90P/DvKv7GuFq4CjOFbB8nFvs19ejUVLRERERERERKS6CoOT/oi52wBpb5by0BGFvQrmEjdBoMDbMcJQhi+yzqNxdLTawqvPrRgedh4fHSrBwJjbtVaJIYj9mQ7G/dkwK+tthPXzLLx71oD7XXX1lQXEiPErT+DA52orNfEwlEOfKm8V9uoqWMXgik0NsF5uRIDSR72NfzTCHhSM/r395eUaYSk877nb66ChSNQVYMeRCtiVVnnyfpaVweIqklVvRaVWRrYaG2yB/kpeA2JGIuFsNtK1/RbbrTxX1qqVX87BbJSKMT6b6lD4vglfTTLAIO++vUFeX9/eCA0Q+1sHqVAbl9Adr/JnhUUEheV0z/umR+zdgTCmn4BFKVcrTO9/jlKR5E7Z5zjkGLDy4gnsOOSP+8eFq9NyXYq9exjMh/6EAxeGYcIQbXYrjairF41HdeoQA9ZifOE2oicnX2o5LjW1DQjq5abFowdt65X9Qh7SD7sZc7Ib6oOqCpkZZ9QhCOwVOLz/DPQTDAjtIP8BMcOQUGrCXlOVun25TphLxL7qEZ8YjMxd2rESrBaYL3porUlERERERERE1EY3BSetMP0uFQt+5+KhNZ0QYJiC1XMDcfj5N5XuoguWHUJOpRaobCcYg2MCYTxWh1iDI8gYgpixgTCZgOF3tAQeQyf9EitHV2HH06LLeCp+kxWIR56forS2dCnQgIefG4W6fduU/XgxS4fE5JbWh5WFR7FOdGeetwVviNaGUx1BMSdDxuCRyGKkzJPzsXQ3cvpHI05Lci0ECcumY+z5TK1r9ZtYl1HiupXdpWKkrVXLaOmbFsQ+MVFttRgYiVnPJyDgyDtqV92Fb2JrjhX/UD6kGhunQ+ZLYt+3Id0Wj5UPRSuBLF38eEy9nI2lYn+fOwLL7ZGeW3p2mL9IxE2pQ/oyOf13RbB2sG/6+6bj8UgzUh6V0xb/Cd9MGIcJWppLd41DQnUWFs+Xl3+pCPr/mY6pg7Q0QTwYx8+KoLuHQow82p4OY6ePgHXvFqVOPLunGreNdtPCFHWwGLPU4zJvJw73SsCseNeBbY9EvXragNLt6jZTcoJxz2R32+yG+qAIwQRDBTYtltfx6F7kGZKxfJLYZgf5D4yWj9dE/MS4G4vlYzxncRo+KmlQHniknk/yOuVjq5yna7MhaQ+1QokRS2dvwgEXjYmJiIiIiIiIiBxuuFz77b+09/SjUAXj6p2wJK/ArKHarOtZUwnSl56Afs0sTOjCWJZXmrR7PQ4MmOO+632XFCNtdi70690MjUBERERERERE1EOuwm7dRN1A6wJt+egETo6Kx9irKTDZVIVCU5k6JIDMfuEEDnysQ9zQKxGYJCIiIiIiIiK6ejE4Sdcl66d7sUB0mc7T4/Hpapf1q4c/AqrzsE7rDr34tRJEPTEdiQO1ZCIiIiIiIiKiHwl26yYiIiIiIiIiIqIewZaTRERERERERERE1CMYnCQiIiIiIiIiIqIeweAkERERERERERER9QgGJ4mIiIiIiIiIiKhHMDhJREREREREREREPYLBSSJf2Rtgq2/UJujq0Qj75QbYm7RJIiIiIiIiIrrq3XC59tt/ae89shYasX1fEaQLjbAH+EMfG4+Fs8cgIkhboFkVjKt3Iu2cNtlKNH69KwkGbYp+rMpw4In9OJc8H0/frdPmXTsqj+3EU5Zx2Dk7WptDV4dipM3OhX79HCT012YRERERERER0VXN6+CkJf8UrINiYRjgD9irYHpnL7YjAZv/x4AAbZn2XAcLGNy5yl0owBZJh0X3RmozuqoCprfOov+j4xGlzbmWsf5erXwJTtZBOpgL212TEdtPm3Wd1VMiIiIiIiKia4HX3br1sWPUwKQQEIL4n4+A/nQJzOocup7UlMFk6c5uy1YUm6ph16aIel49LF9YUPNPbVLBekpERERERET0Q/N79tlnXtLe++arAuwpD8W0CYMQqM1qrxqF73+NPveNwO1O3b9t5wtw7HIYRlbm4rXXspB28DMU/UuPsf+hg5+2TGVuBtaItH0ncfTL73FH3O3opzTRVFtHfR9dis3Pv4+TwT/FhMhAD8u3Zis5he2/PYCt7+Yi43Ah/t4vEnHh2s4VZWLOh//AHV/+Cc/+VkLwxOG4/d8aYM7Yi1W/+wj73vsMp/8eiJj/798R3C6sK7qz/xElQ/S4sDsNKZuycch4FjfcMRR39HMs3IDSY5l4baNjP2tx69DBGPBvWnIrWj5H/B1/fF7e3wy5jGp1GH5nKALF6sS+bqnBuImDEKx+ANKu9Tjs/58YHiZPKHn5Jyb3KsS6VX/Cjn3avo+S911dHLiYhy2v7lfK4pDxS1iCBuGW4v14fMsFoORveP/9k7gcLdYn8vYWckO0dQuXTiHlt9/AoGy/db4+OPV3hA0zYFBvbblHjyFfrgu58vre/y4UvxgR0npfZdbCo/j9mj/j7fRc5fPBg2/H7TerwXDRUnHjeT2iLEew9hXX9aWFi+Pwxfe4c3Q46k3vq5//cyHqI4dhaJi6fk91Qtm2uRfsB/dg7Y5qRCdFI0ipv+FKPmCTj9Mz+1F4yzA5L/7yurLxxosHsVXOx9G8vyNkuFwO7YY+kFVLSE/dh9S3P1G3GajHnYP7qK2QXdZD5VOajo6HWgZnw/yQsz4dqWmn5GN/A6J+Ogh9nc8hd3VLKC/AlrX7tLpxFvYoA+4MEeWlrfvmBmS+vA87qgciKeZm9TPNGmH5RC7r17V6LpdDnzujEdHH7r6eiDqUtR8v/vYo9snH9/Q3TnXVVoID6/8vNjrKyvmcbaXt9cbduSvyvw/vf/s9Co/KdfKMH8b99BtsdFFPPW3bVd0I9vb4ExEREREREZHC65aTrTRV4XBGMWLvHYFOjxj4SS6MfSZi1eYV2LlxEvofykX+ZTXJLmUhxajDwrVy2o6lWBlnwbq3CmBVk2Vl2Hs8CEs2rcDKSTovlm8R5HcT/vOJx/D2LnnZl4bi0h+ykV+vJQqfZeOjkGRs3jELCf2AyuN/xBvlw7BS7OeO+ZgRdAIp75VpC7dVi8ytJvwkeb6y/tSHbkLm+0WwaaliXSmnQzBvzVLs3LUUa6fUY/vLWZCct99KGT48HYZHUuVtvzUTcSVZWHekQkvzQkE2tp+NxuPi8zumI/bCCRgdY4HWFyNtjQnBD6j7+vbG/8b9d+gw8N452PlUNDApSd7HFZg1VFveo17AAAOWbZS3I+dr1YTvsCXjjNoCrf8YrNyVhARlvFE53UVXaHH8XninFhOee0zZ5uYlYTj56h9hvKQtILNkZeFwgOv60l4tDu+Qj8N0OW87FuGRAQV44/ndzZ/f/JgeOQdb6kdHdcIib8sySV7Xtimtx0sVgcnnjcDcuXI5yWUgr/HknjPoO3e+mo+nJ8KgBN7aqC9B2stG1Nw9U65n8jY3JeO20/ux4XiVtoCsTT30XS0+PGZF4styXVPq7WdI2S05tQr0ULfE/r1agND5at3Y/EwUpPUZMDWfUHI931+Oe+R6/PZD7bv+24vk8zHDHzOUei6fB0/EI0onApse6kl1AdKygvHIb+W0bY/h18mR6Cvmi2Doxg9Qedcs9fi8NhHB7+1FussxbVtzf+5GY9auOZg1OASz1stpL4xBqMt62vG2W9cNL48/ERERERERETXrRHCyEZaPsmCMSMLDo0VAppPuSsC8+BAEiKZvffSIDm9AXYOaJOVKMCROREQfecLPH/p74jC28DzMzQEjf9yTPB56rWVkx8s7CTcgxtE9faABYwd/h5padVIRNAzT7gtT9wtVyP9LHe6ZOgKhYtovGDGJI9A3vwQWkdxOA+IeSEK8tv6gqFsQIWeqTpmywHTYioTpE7VAjT90I6fg4SESPsxXl2ivNyYkGKAT2w4IQ+L0Yag5eRaVamLHbh6JGT8PVz/vp8edQxpg/15NwlkJxsjxmDZSa0cZEIKIgZ0/nhExBoQqx0Mu/9EGRFXaUKOkdKQRhR9LuCX5vuZyCxg0HvOm1OGAsSUIbBsxzm19aa8BMT+Xj0N/eX3yMRscFQKrYUzz54OGRCKmpKrlGHZQJ2w/HYMZjnJysEpIW+0cmHRogKWsCjbxxGhdCHQumhXbCz+HUR+PmY78iGM7ewSsGfktwyS0qoedIdfFSdo5IurtL+IRnVsMqflJ1h7q1tkzMA6JRVKkmmdxPJJGWVDwN0dXf7l8p05BjFKP25NMxYh6IKE5PWCAHnqt9aDHelJvReklcS7I58YAndqKtFxCjnUYksZpfwbRGZCYGIj8ItdnYAtfz10XvNh2+7rR8fEnIiIiIiIiohY+Bycrj+3Fi3lD8PRD0bgyvRWrUCnf+5veTMWc2evV17ws5MA5YBSIoOabfm+WbyG68G55LhULlGVdPFW8d6DTA36qUVlWhwPPaesVr6dPobTc6rJVpmd1qCnvjdBWreD8ER4VApvNbdPJ1vrpoC+rhlODwk6rLK8G+gd30zEU3boz8OwSrYxWnPBhLFIraiqBgTe3Dv7pB+thq3cbffRdgFMgLTAQwfaWMTU7rBNyZWupE5qSMuQ16BF3u3NgUoeEJ6ZjQnU2frM0FSl7JFibg4EtaqzfAWG61q2OB+kRc7m+pWVjq3rYDXQ6DBT1+Vttui2nuqXUDdNRrTzU14ZPgEvWllofHOQ6MOk4H0N1bYK5Cg/1pN8YLH/OgMp972Dxkp1IL9S2VVktn295eNZpX57aY0VljbuAvkM3nLvebLtV3fDu+BMRERERERFRC5+Ck5XH0/Di6XCsXDZGbY10RejQNxSIf0ztEtrycvcEXl+WL0Pm+s/wk+Q5andapWunluRSMPoOCMa0Nc7rFa+k1t17vdIPoeG1It7hpBFl5ioEtURaPau2whLeDy6LQWb34UkefXU3ARWdCbJqmuwtgbRz2Vh30F8uJ+0YrPflacchCNUDF79tHWyynLMgKLALLXO95mud0IxIwMopVmzYeAqVzgGoPuGYMHcWUlPnI8lmxBvZ7Us4dEC/9mV/wYLCPl0ISDofD1esVlwUdbDt8JAOTnVLqRvxk9WuzE6vlfeGqMt6pJ6PbY+nooN6EhQZh3nPLMHmtWNg+0MmjOJc6auTyysOr7TZl46flN4N525ntu3F8SciIiIiIiKiFl4GJxtQejANL+YPwcpnJiLiij7gwR8xdxsg7c1CoVVr3WavgrnE3U2+L8s3wV7vD12/YKW7rP2CGV94HMJRj/jEYGTuOgGLI/JjtcB8sTMt+kIQ+zMdjPuzYVb2sxHWz7Pw7lkD7o911cpMqEJmxhk1+GWvwOH9Z6CfYECoSPr3AYgq+wbnxLiLTXUwH8tA+mciwTsBMcOQUGrCXlMV7GL9Yh0lTmMeVlSrrb6UwFsI9BGAdFbtzmovl5C+Lb+le+w/GmEPCkb/3v7y8o2wFJ530XXWCosINsnpbRnGGfBNxhGYytU0+4UT2JEVjGkJ4cr0leVrnXDwR+i9v8TyQWIsx+LmcUWtlyrU8pSPb01tA4J6uWhhOEQue4tT2Ytju6sAuuRYL4O6HRwPTc7BbJRq9aPwfRO+mmSAofmPCu7rVkDMSCSczUb651qAUT5mlefKvGwFKJ+Pd0XjK6fjCWsZSsvl/z3WkzpUOs6rhjrUyMckWERqBw1Foq4AO460lKu1rAwWR4G75c25WwtLpbyPreqkUz3txLa9Ov5ERERERERE1MzL4GQZcjIqYCs6gWfnOXWTnJ0JSUm3wvS7VCz4neuH0PgqwDAFq+cG4vDzbyrbWbDsEHJEEMEN75ePROLcMOS/moo581OxLucmxI3QktwInfRLrBxdgU3L1DwvWJsNye2DWDxT11WFHU+LLuip+E1WIB55fgoMbhtOhmCCQd72Ynnbj+5FniEZyydprdf6j8C0SRXYvkTep6X7kTcgATP+U03ySmA0Zj0/ET8x7sZicUwXp+Gjkga19V3UMCRWmbB0Xio2fKoeUUPiePQ/vlfZ7xczvsPYX8UjQkmRDRmDRyKLkSKvZ8HS3cjpH404LUkVibgpdUiXy3DB74ra1RH1+PXGRy+rXfMXb6rA2Gd+6aalbHfzvU606AXDQzORdCELGw5aYEMdLMYsLF0ol+e8nTjcKwGz4l0EngMj5bJPQF9H2S/JwFejp7ccWy94PB6asXE6ZL4k9mUb0m3xWPlQtFPLTA91S9u/gCPvqF27F76JrTlW/ENN7VDA0CSsmunffDwXrM2DWXSj91RPLlfAuGOLur3n8hA0dzLixRiy8n4mLJuOsecz1XKd/SbWZZQ0B4M98XzuhiBmQghOrpevW0uPa93L29ZTX7ft/vhbc/diwcK9Tg8VIiIiIiIiIiLhhsu13/5Le09XlWKkzc6Ffr277uxE7lTBuHonLMnunrbOukVEREREREREV4dOPK2biIiIiIiIiIiIqOsYnCQiIiIiIiIiIqIewW7dRERERERERERE1CPYcpKIiIiIiIiIiIh6BIOTRERERERERERE1CMYnCQiIiIiIiIiIqIeweAkERERERERERER9QgGJ4mIiIiIiIiIiKhHMDhJREREREREREREPYLBSSIiIiIiIiIiIuoRDE4SERERERERERFRj2BwkoiIiIiIiIiIiHoEg5NERERERERERETUIxicJCIiIiIiIiIioh7B4CQRERERERERERH1AOD/B4Znl5mbycaPAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "id": "49d433dc",
   "metadata": {},
   "source": [
    "![Screenshot%202023-08-13%20012950.png](attachment:Screenshot%202023-08-13%20012950.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "dda2e8d4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'we': [0, 5, 12], 'dont': [1, 6, 13], 'need': [2, 7], 'no': [3, 8, 11], 'education': [4], 'thought': [9], 'control': [10]}\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136518921830401222\n",
    "\n",
    "def find_target_positions(input_string, target_word):\n",
    "    target_list=[]\n",
    "    #Start writing your code here\n",
    "    l=input_string.split()\n",
    "    for i in range(len(l)):\n",
    "        if l[i]==target_word:\n",
    "            target_list.append(i)\n",
    "\n",
    "\n",
    "    return target_list\n",
    "\n",
    "def find_inverted_index(input_string):\n",
    "    target_dict={}\n",
    "    #Start writing your code here\n",
    "    l=input_string.split()\n",
    "    for i in l:\n",
    "        if i not in target_dict:\n",
    "            target_dict[i]=find_target_positions(input_string,i)\n",
    "\n",
    "\n",
    "    \n",
    "    return target_dict\n",
    "    \n",
    "    \n",
    "input_string=\"we dont need no education we dont need no thought control no we dont\"\n",
    "result_dict=find_inverted_index(input_string)\n",
    "print(result_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb82ba11",
   "metadata": {},
   "source": [
    "## Practice problem-level 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54fd84a3",
   "metadata": {},
   "source": [
    "### Practice Problem 17 - Level 3"
   ]
  },
  {
   "attachments": {
    "p17-1.png": {
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    }
   },
   "cell_type": "markdown",
   "id": "e5528e6c",
   "metadata": {},
   "source": [
    "![p17-1.png](attachment:p17-1.png)"
   ]
  },
  {
   "attachments": {
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     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "8e458f08",
   "metadata": {},
   "source": [
    "![P17-2.png](attachment:P17-2.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "c3a30809",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'train_no': 25627, 'name': 'Karnataka Express', 'from': 'SBC', 'to': 'DEC', 'days_of_run': ['Su', 'Tu'], 'sleeper_fare': 1600, 'ac_fare': 2500}\n",
      "[16453, 22642]\n",
      "5256\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136112798105601178    \n",
    "\n",
    "train_list=[\n",
    "{\"train_no\":16453,\"name\":\"Prasanti Express\",\"from\":\"SBC\",\"to\":\"BBS\",\"days_of_run\":['Mo','We','Th'],\"sleeper_fare\":600,\"ac_fare\": 987},\n",
    "{\"train_no\":25627,\"name\":\"Karnataka Express\",\"from\":\"SBC\",\"to\":\"DEC\",\"days_of_run\":['Su','Tu'],\"sleeper_fare\":1600,\"ac_fare\": 2500},\n",
    "{\"train_no\":22642,\"name\":\"Trivandrum SF Express\",\"from\":\"VSKP\",\"to\":\"TVM\",\"days_of_run\":['Mo','Tu','We','Th','Fr','Sa'],\"sleeper_fare\":800,\"ac_fare\": 1256},\n",
    "{\"train_no\":22905,\"name\":\"Okha Howrah Express\",\"from\":\"ST\",\"to\":\"KOAA\",\"days_of_run\":['We','Sa'],\"sleeper_fare\":987,\"ac_fare\": 2879}]\n",
    "\n",
    "def get_train_name (train_no):\n",
    "    #start writing your code here\n",
    "    for i in train_list:\n",
    "        if i['train_no']==train_no:\n",
    "            return i\n",
    "    return \"Invalid Train_No\"        \n",
    "\n",
    "def get_trains_for_day(day_of_run):\n",
    "    #start writing your code here\n",
    "    c=[]\n",
    "    for i in train_list:\n",
    "        if day_of_run in i['days_of_run']:\n",
    "            c.append(i['train_no'])\n",
    "    if len(c)==0:\n",
    "        return 'Invalid day'\n",
    "    return c\n",
    "\n",
    "def get_total_fare(train_no,passenger_dict):\n",
    "    #start writing your code here\n",
    "    c=0\n",
    "    for i in train_list:\n",
    "        if i[\"train_no\"]==train_no:\n",
    "            for k,v in passenger_dict.items():\n",
    "                c+=i[k+\"_fare\"]*v \n",
    "            break    \n",
    "    return c\n",
    "print(get_train_name(25627))\n",
    "print(get_trains_for_day(\"Mo\"))\n",
    "print(get_total_fare(22642,{\"sleeper\":5, \"ac\":1}))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72f0e042",
   "metadata": {},
   "source": [
    "### Practice Problem 20 - Level 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7563437b",
   "metadata": {},
   "source": [
    "A Ducci sequence is a sequence of lists of integers. Given a starting list of integers, the next list in the sequence is formed by taking the absolute differences of neighboring integers in the previous list.\n",
    "\n",
    "Start List: [0,653,1854,4063]\n",
    "\n",
    "Ducci Sequence:[653,1201,2209,4063], [548,1008,1854,3410], ...........,[0,0,0,0]\n",
    "\n",
    "Assumption: The Ducci sequence ends with a list containing 0s and the starting list contains four elements.\n",
    "\n",
    "Write a python function that takes a starting list of integers and a number ‘n’ as input, and returns the nth element of the Ducci sequence."
   ]
  },
  {
   "cell_type": "raw",
   "id": "95bbcea7",
   "metadata": {},
   "source": [
    "Sample Input\n",
    "\n",
    "\n",
    "test_list=[0,653,1854,4063]\n",
    "n = 1\n",
    "\n",
    "\n",
    "Expected Output\n",
    "[548,1008,1854,3410]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "79a93b80",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[548, 1008, 1854, 3410]\n"
     ]
    }
   ],
   "source": [
    "#lex_auth_0127136216235950081185\n",
    "\n",
    "def ducci_sequence(test_list,n):\n",
    "    #start writing your code here\n",
    "    final_list=[]\n",
    "    a=n+1\n",
    "    while a:\n",
    "        test_list=[abs(test_list[0]-test_list[1]),abs(test_list[1]-test_list[2]),abs(test_list[2]-test_list[3]),abs(test_list[3]-test_list[0])]\n",
    "        final_list.append(test_list)\n",
    "        a-=1\n",
    "    \n",
    "    return final_list[n]\n",
    "\n",
    "ducci_element=ducci_sequence([0, 653, 1854, 4063] , 1)\n",
    "print(ducci_element)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea0a0e57",
   "metadata": {},
   "source": []
  }
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