cs110_pcw_7_2.ipynb

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    "Before you turn this problem in, make sure everything runs as expected. First, **restart the kernel** (in the menubar, select Kernel$\\rightarrow$Restart) and then **run all cells** (in the menubar, select Cell$\\rightarrow$Run All).\n",
    "\n",
    "Make sure you fill in any place that says `YOUR CODE HERE` or \"YOUR ANSWER HERE\", as well as your name and collaborators below:"
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    "NAME = \"Verina Armanyous\"\n",
    "COLLABORATORS = \"\""
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   "source": [
    "---"
   ]
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    "# CS110 Pre-class Work 7.2\n",
    "\n",
    "## Part A. Direct Address Tables\n",
    "As the first step in setting up a crossword solving algorithm you need to create 2 direct address tables, one to store all the “up” answers-whether correct or not-and one to store all the “across” answers. Write python code to create a direct address table that allows you to:\n",
    "\n",
    "1. initialize N empty guesses\n",
    "2. set a guess for the i-th entry\n",
    "3. clear an incorrect guess for the i-th entry\n"
   ]
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    "def direct_address_table(n,i,guess,j): \n",
    "    lst_guess =[None] *n #to initialize a list with empty guesses \n",
    "    lst_guess[i] = guess # to set a guess for the i-th entry \n",
    "    del lst_guess[j]  #delete the element at j index\n",
    "\n",
    "    return (lst_guess )\n",
    "    \n"
   ]
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   "source": [
    "## Part B. Social Security\n",
    "\n",
    "Could we use a direct address table to store a country's entire set of social security numbers (aka id numbers)? Why or why not?\n"
   ]
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    "I don't think it will be possible to do so because even though the direct address table takes O(1) to insert, search, or delete a value; it is that efficient only for a small set of data. Also, we will have to connect the id numbers to indices to access the data, and that will take a lot of space for such a massive amount of data for an entire country. To sum up, it's not efficient for a broad set of data in terms of time and space complexity."
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   "source": [
    "## Part C. Chained Hash-table\n",
    "\n",
    "## Question 1.\n",
    "\n",
    "Using the code in the cell below, complete the missing sections of code. You should copy and paste the code in an additional cell and fill in the code there."
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    "import random\n",
    "import string\n",
    "\n",
    "\n",
    "def randomword(length):\n",
    "    return ''.join(random.choice(string.ascii_lowercase) for i in range(length))\n",
    "\n",
    "\n",
    "def empty_hash_table(N):\n",
    "    return [[] for n in range(N)]\n",
    "\n",
    "\n",
    "def add_to_hash_table(hash_table, item, hash_function):\n",
    "    N = len(hash_table)\n",
    "    # Your code here\n",
    "    return hash_table\n",
    "\n",
    "\n",
    "def contains(hash_table, item, hash_function):\n",
    "    N = len(hash_table)\n",
    "    # Your code here\n",
    "    # return true if the item has already been stored in the hash_table\n",
    "\n",
    "\n",
    "def remove(hash_table, item, hash_function):\n",
    "    if not contains(hash_table, item, hash_function):\n",
    "        raise ValueError()\n",
    "    # Your code here\n",
    "    return hash_table\n",
    "\n",
    "\n",
    "def hash_str1(string):\n",
    "    ans = 0\n",
    "    for chr in string:\n",
    "        ans += ord(chr)\n",
    "    return ans\n",
    "\n",
    "# def hash_str2(string):\n",
    "#     ans = 0\n",
    "#     for chr in string:\n",
    "#         ans = ans ^ ord(chr)\n",
    "#     return ans\n",
    "def hash_str2(string):\n",
    "    ans=int(ord(string[0]))\n",
    "    for ix in range(1, len(string)):\n",
    "        ans = ans ^ ord(string[ix])   \n",
    "    return bin(ans)\n",
    "\n",
    "\n",
    "def hash_str3(string):\n",
    "    ans = 0\n",
    "    for chr in string:\n",
    "        ans = ans * 128 + ord(chr)\n",
    "    return ans\n",
    "\n",
    "\n",
    "def hash_str4(string):\n",
    "    random.seed(ord(string[0]))\n",
    "    return random.getrandbits(32)"
   ]
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   "source": [
    "import random\n",
    "import string\n",
    "\n",
    "\n",
    "def randomword(length): #the function generates a string of random characters of size (length)\n",
    "    return ''.join(random.choice(string.ascii_lowercase) for i in range(length))\n",
    "\n",
    "\n",
    "def empty_hash_table(N): #create the empty hash table as a nested list\n",
    "    return [[] for n in range(N)]\n",
    "\n",
    "\n",
    "def add_to_hash_table(hash_table, item, hash_function):\n",
    "    N = len(hash_table)\n",
    "    hash_key = hash_function(item) % N\n",
    "    hash_table[hash_key].append(item)\n",
    "    \n",
    "    return hash_table\n",
    "\n",
    "\n",
    "def contains(hash_table, item, hash_function):\n",
    "    N = len(hash_table)\n",
    "    hash_key = hash_function(item) % N\n",
    "    if hash_key in hash_table:\n",
    "        return \"True\"\n",
    "    else:\n",
    "        return \"False\"\n",
    "    # Your code here\n",
    "    # return true if the item has already been stored in the hash_table\n",
    "\n",
    "\n",
    "def remove(hash_table, item, hash_function):\n",
    "    if not contains(hash_table, item, hash_function):\n",
    "        raise ValueError()\n",
    "    # Your code here\n",
    "    return hash_table\n",
    "\n",
    "\n",
    "def hash_str1(string):\n",
    "    ans = 0\n",
    "    for chr in string:\n",
    "        ans += ord(chr)\n",
    "    return ans\n",
    "\n",
    "def hash_str2(string):\n",
    "    ans = 0\n",
    "    for chr in string:\n",
    "        ans = ans ^ ord(chr)\n",
    "    return ans\n",
    "# def hash_str2(string):\n",
    "#     ans=int(ord(string[0]))\n",
    "#     for ix in range(1, len(string)):\n",
    "#         ans = ans ^ ord(string[ix])   \n",
    "#     return bin(ans)\n",
    "\n",
    "\n",
    "def hash_str3(string):\n",
    "    ans = 0\n",
    "    for chr in string:\n",
    "        ans = ans * 128 + ord(chr)\n",
    "    return ans\n",
    "\n",
    "\n",
    "def hash_str4(string):\n",
    "    random.seed(ord(string[0]))\n",
    "    return random.getrandbits(32)\n"
   ]
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       "108"
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   "source": [
    " hash_str2(\"l\")"
   ]
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   "source": [
    "## Question 2.\n",
    "Using the code, create 100,000 words of 10 characters each.\n"
   ]
  },
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       " 'ltazvhibnz',\n",
       " 'bcskjgcphm',\n",
       " 'vcpmtrwnvi',\n",
       " 'ofbdnzfzeo',\n",
       " 'ecvqwbnhzv',\n",
       " 'bgovobknob',\n",
       " 'cnzwvjgkle',\n",
       " 'evtbkiqfqe',\n",
       " 'tzuyvfitft',\n",
       " 'jtekatfboh',\n",
       " 'fhvuzlfuva',\n",
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       " 'wdamiltwdu',\n",
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       " 'nmxzdaufyb',\n",
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       " 'ukdrqiobcd',\n",
       " 'wexwnwvvdo',\n",
       " 'pzrpvxxkwp',\n",
       " 'pgevtfzfub',\n",
       " 'xofrrdwhcm',\n",
       " 'btdxtegjew',\n",
       " 'vcdbruolcj',\n",
       " 'scztwthwgo',\n",
       " 'dshfwcsnuo',\n",
       " 'yzwhcphklo',\n",
       " 'tmqwnnpayc',\n",
       " 'spxunxxuaw',\n",
       " 'niyhpxiioz',\n",
       " 'ezhyiivumg',\n",
       " 'qchqxmgttg',\n",
       " 'puokxqqmxn',\n",
       " 'icprganlhl',\n",
       " 'hzieaiwatj',\n",
       " 'lkkgosrhbg',\n",
       " 'aufkutkzxt',\n",
       " 'hrtvfteghh',\n",
       " 'gwycbgcpts',\n",
       " 'iyerzdfuof',\n",
       " 'lxwbfytxdw',\n",
       " 'ufodznpeev',\n",
       " 'ptqquknzcd',\n",
       " 'tvzhjywupe',\n",
       " 'uifujnxcgj',\n",
       " 'lslvuuuhra',\n",
       " 'rusaixjyck',\n",
       " 'kieqocrute',\n",
       " 'xbyeoyamfm',\n",
       " 'bcsrvtlkza',\n",
       " 'zwqglzkndy',\n",
       " 'lzjhxjibxr',\n",
       " 'jnafhdgymr',\n",
       " 'pusocucvhu',\n",
       " 'khzldhvbti',\n",
       " 'rpovmqcekd',\n",
       " 'qfhyfkjfsa',\n",
       " 'rybefejeiq',\n",
       " 'uvtfwglxdu',\n",
       " 'nwqsrxpssh',\n",
       " 'uhzbwwwedw',\n",
       " 'dgimbelmca',\n",
       " 'lwiqgxdbwr',\n",
       " 'hzejzkvzlg',\n",
       " 'vsxlfumrrt',\n",
       " 'tvqhpzbqkz',\n",
       " 'gjqfwaxetd',\n",
       " 'ihuoyvwxnt',\n",
       " 'uiarccwyyk',\n",
       " 'kajjwwloic',\n",
       " 'eynzrwappf',\n",
       " 'qyjxzruamk',\n",
       " 'hiwqryhmbd',\n",
       " 'fnlkgalpbs',\n",
       " 'ktvxzecawk',\n",
       " 'xcljzrqqet',\n",
       " 'vcdiapfiwg',\n",
       " 'xqbaupqkcc',\n",
       " 'ajnssshjry',\n",
       " 'rboobxuijg',\n",
       " 'lwvyyplbro',\n",
       " 'vhphrznaty',\n",
       " 'ikvxdvtkkb',\n",
       " 'jjxnextclc',\n",
       " 'mfinjxkwxf',\n",
       " ...]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "words_lst = [ randomword(10) for i in range(100000)]\n",
    "\n",
    "words_lst"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": false,
    "editable": false,
    "nbgrader": {
     "checksum": "190e7fdc00fc311f5ff32a390fff1ca4",
     "grade": false,
     "grade_id": "cell-2fbadca52cec7230",
     "locked": true,
     "schema_version": 1,
     "solution": false
    }
   },
   "source": [
    "## Question 3.\n",
    "\n",
    "Create four chained hash-tables with 5000 slots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "deletable": false,
    "nbgrader": {
     "checksum": "0d1473300ae336ceb57d11687ab3ec0a",
     "grade": true,
     "grade_id": "cell-2dabefc41493ec16",
     "locked": false,
     "points": 0,
     "schema_version": 1,
     "solution": true
    }
   },
   "outputs": [],
   "source": [
    "hash_table = [empty_hash_table(5000) for i in range(4)]\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": false,
    "editable": false,
    "nbgrader": {
     "checksum": "c3d147917ae237a6dc75eddab48dbaa6",
     "grade": false,
     "grade_id": "cell-cc2e6d00330e691e",
     "locked": true,
     "schema_version": 1,
     "solution": false
    }
   },
   "source": [
    "## Question 4.\n",
    "\n",
    "Store all the words in each chained hash table using each of the different hash functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "deletable": false,
    "nbgrader": {
     "checksum": "af209dceb17bf5f8d9fadf0808855f79",
     "grade": true,
     "grade_id": "cell-8a08ade8d45590a7",
     "locked": false,
     "points": 0,
     "schema_version": 1,
     "solution": true
    }
   },
   "outputs": [],
   "source": [
    "for i in words_lst:\n",
    "    add_to_hash_table(hash_table[0], i, hash_str3)\n",
    "for i in words_lst:\n",
    "    add_to_hash_table(hash_table[1], i, hash_str4)\n",
    "for i in words_lst:\n",
    "    add_to_hash_table(hash_table[2], i, hash_str1)\n",
    "for i in words_lst:\n",
    "    add_to_hash_table(hash_table[3], i, hash_str2)    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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