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    "# Tutorial A5"
   ]
  },
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   "source": [
    "__1__ Make a list of data objects, each of a different type you know. Print the elements of the list and their type to the screen by index."
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__2__ Create a dictionary that represents a shopping list and store it in a variable: Use three things you need\n",
    "to buy as *keys* and add how much you want to buy of them as *values*. Than add another item to the existing dictionary. Print the dictionary keys to the screen."
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Advanced 1__ Take the points `(0, 0)`, `(0, 1)`, `(1, 0)` and `(1, 1)`.\n",
    "\n",
    " - Store each point in a variable as a tuple. Make an empty list and append each point to the list. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Change the second point `(0, 1)` to `(0, -1)` by overwriting the variable in which it is stored. What happens to this point in the list?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Change the third point `(1, 0)` to `(-1, 0)` by indexing this point stored in the list. What happens to this point outside of the list?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now store each of the initial points (`(0, 0)`, `(0, 1)`, `(1, 0)` and `(1, 1)`) in variables as lists and append them to a list."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Change the second point `[0, 1]` to `[0, -1]` by overwriting the *y*-component of the variable in which it is stored. What happens to this point in the list?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Change the third point `[1, 0]` to `[-1, 0]` by indexing this point stored in the list and overwriting the its *x*-component. What happens to this point outside of the list?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Advanced 2__ Take the string `\"High Performance Computing\"` and\n",
    " - convert this into a list."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Use the tuple `tuple(\"abcdefghijklmnopqrstuvwxyz \")` to map the letters in the string to their index in the alphabet. Tipp: Use the method `tuple.index` and the built-in function `map`. Map takes a function as the first argument and a sequence (e.g. a string as the second. The function is applied to each element of the sequence. Convert the return value of `map()` to a list. Use `string.casefold()` to map also upper case characters. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Create a dictionary from the map and the list that represents this mapping (`d = {\"letter\": mapped_index}`). Tipp: Use `zip()`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Advanced 3__ Consider the following dictionary of random floating values associated with random string keys:"
   ]
  },
  {
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   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "dictionary = {\n",
    "    'afsgfabkpetv': 0.50996581835599997,\n",
    "    'ajpjggwdnbbv': 0.48394650530200001,\n",
    "    'bbsqfnzsaerh': 0.94967251027800004,\n",
    "    'bmkkubxijsgoi': 0.73021130082789998,\n",
    "    'bmmqvyintpoat': 0.47911570513349999,\n",
    "    'ccgasifxzngp': 0.32569065293400001,\n",
    "    'cebmdkidwwyt': 0.97307019405200001,\n",
    "    'cismykmadevcya': 0.20194133057088001,\n",
    "    'cjktphzhhbvrn': 0.27046062498669998,\n",
    "    'ckdgztgvksmid': 0.3741114083232,\n",
    "    'cwnukrruweshiuh': 0.53529824780703295,\n",
    "    'cwthembmixxmg': 0.089824943543700006,\n",
    "    'dasjwthqotarfgz': 0.48673599515272398,\n",
    "    'dgoxsygqjkkiv': 0.49586035923279997,\n",
    "    'dijwhwnubajohkf': 0.074657439369638007,\n",
    "    'dszizjhbozuuy': 0.19034104761039999,\n",
    "    'xcvhdthqotarfgk': 0.48673599515272398,\n",
    "    'ehuzgmflwhxcnmv': 0.027337878930186001,\n",
    "    }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Use the built-in properties of sets to find out whether any two values are the same. How could you check if a set already contains a dictionary value? Could two keys ever be the same?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Compute the sum of all values in the dictionary."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - Make a set of unique letters found in all dictionary keys. Tipp: Use the string method `str.join()`."
   ]
  }
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