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   "source": [
    "# 1.9 Classroom Exercises"
   ]
  },
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   "source": [
    "**List of exercises and estimated completion times**\n",
    "\n",
    "[1a - Python Libraries](#Exercise-1a-Python-Libraries) *5 minutes*\n",
    "\n",
    "[1b - Using Functions](#Exercise-1b-Using-Functions) *10 minutes*\n",
    "\n",
    "[1c - Operators](#Exercise-1c-Operators) *10 minutes*\n",
    "\n",
    "[1d - Maze Model](#Exercise-1d-Maze-Model) *25 minutes*\n",
    "\n",
    "[1e - The Maze Population](#Exercise-1e-The-Maze-Population) *10 minutes*\n"
   ]
  },
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   "source": [
    "## Exercise 1a Python Libraries\n",
    "*Relevant Sections: 1.0.2*\n",
    "\n",
    "The directory that contains this workbook also contains a `Python` file titled `draw_infinity.py`. Import it to a notebook and make the figure in the same way as `eight` was drawn in section 1.0.2"
   ]
  },
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   "id": "70458ec0",
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   "source": [
    "## Exercise 1b Using Functions\n",
    "*Relevant Sections: 1.2.1 to 1.2.5*\n",
    "\n",
    "Try to find the operator or function you need to calculate the following (the easiest way might be an internet search).\n",
    "\n",
    "What is 2 to the power 15?\n",
    "\n",
    "Convert `\"It was the best of times\"` to uppercase.\n",
    "\n",
    "Sort the list `[10, 9, 0, 20, 8, 2, 30, 7, 3]`.\n",
    "\n",
    "What is 100! ? (That is, what is the factorial of 100?) Hint: the `factorial` function is in the `math` library"
   ]
  },
  {
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   "id": "d064ba13",
   "metadata": {},
   "source": [
    "## Exercise 1c Operators\n",
    "*Relevant Sections: 1.2.5, 1.3.3*\n",
    "\n",
    "Which of the operators `+`, `-`, `*`, and `/` do something useful with the lists `[1, 10, 100]` and `[5, 4, 7]`?\n",
    "\n",
    "What happens if you apply the operators `+`, `-`, `*`, `/` to a list and a number?\n",
    "\n",
    "What about a string and a string?"
   ]
  },
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   "source": [
    "## Exercise 1d Maze Model\n",
    "*Relevant Sections: 1.5.1, 1.6.1*\n",
    "\n",
    "Work with a partner to design a data structure to represent a maze using dictionaries and lists.\n",
    "\n",
    "* Each place in the maze has a name, which is a string.\n",
    "* Each place in the maze has one or more people currently standing at it, by name.\n",
    "* Each place in the maze has a maximum capacity of people that can fit in it.\n",
    "* From each place in the maze, you can go from that place to a few other places, using a direction like 'up', 'north', or 'sideways'\n",
    "\n",
    "Create an example instance, in a notebook, of a simple structure for your maze:\n",
    "\n",
    "* The front room can hold 2 people. James is currently there. You can go outside to the garden, or upstairs to the bedroom, or north to the kitchen.\n",
    "* From the kitchen, you can go south to the front room. It fits 1 person.\n",
    "* From the garden you can go inside to front room. It fits 3 people. Sue is currently there.\n",
    "* From the bedroom, you can go downstairs to the front room. You can also jump out of the window to the garden. It fits 2 people.\n",
    "\n",
    "Make sure that your model:\n",
    "\n",
    "* Allows empty rooms\n",
    "* Allows you to jump out of the upstairs window, but not to fly back up.\n",
    "* Allows rooms which people can't fit in.\n",
    "\n",
    "\n",
    "```python\n",
    "house = [ \"Your answer here\" ]\n",
    "```\n",
    "or\n",
    "```python\n",
    "house = { \"Your answer here\" }\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8643be35",
   "metadata": {},
   "source": [
    "## Exercise 1e The Maze Population\n",
    "*Relevant Sections: 1.5.1, 1.6.1, 1.8.1, 1.8.2*\n",
    "\n",
    "Take your maze data structure. Write a program to count the total number of people in the maze, and also determine the total possible occupants."
   ]
  }
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