exercise_21_python_recap.ipynb

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    "from __future__ import print_function, division    # Python 2 and 3 are now very similar\n",
    "\n",
    "# Plots now appear in the notebook.\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('ggplot')                            # Matplotlib style sheet - nicer plots!\n",
    "plt.rcParams['figure.figsize'] = 12, 8             # Slightly bigger plots by default"
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    "## Exercises\n",
    "#### 1. Print your name\n",
    "\n",
    "Save your name in all lower-case letters to a variable, and print a capitalized version of it. Protip: [Google for \"How to capitalize a string in python\"](http://www.google.com/search?q=how+to+capitalize+a+string+in+python). This works for almost any programming problem - someone will have had the same issue before!"
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    "#### 2. Print all the vowels in your name"
   ]
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    "#### 3. Print all the words in the string \"Hello how are you?\" separately on the screen "
   ]
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    "#### 4. Dictionary\n",
    "\n",
    "Create a dictionary where names are linked to nationalities. Ask the user for its name and print \"This is *name*. She/ He is *nationality*\" or \"Sorry we could not find you in the database.\""
   ]
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    "#### 5. Siblings\n",
    "Ask the user for it’s name and number of siblings. Print on screen “*name* has no siblings.”, “*name* has 1 sibling.” or “*name* has *number of* siblings.” depending on the input.\n",
    "Hint: Ask to separate input by commas"
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    "#### 6. Fibonacci sequence\n",
    "Write a function that displays the n first terms of the Fibonacci sequence, defined by\n",
    "\n",
    "U_0 = 0\n",
    "\n",
    "U_1 = 1\n",
    "\n",
    "U_n+2 = U_n+1 + U_n\n",
    "\n",
    "Output: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ..."
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    "#### 7. Functions, NumPy, and Matplotlib\n",
    "\n",
    "A. Write a function that takes a NumPy array `x` and `a`, `b`, and `c` and returns\n",
    "\n",
    "$$\n",
    "f(x) = a x^2 + b x + c\n",
    "$$\n",
    "\n",
    "B. Plot the result of that function with matplotlib."
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    "#### 8. 99 Bottles of Beer\n",
    "\n",
    "*(stolen from http://www.ling.gu.se/~lager/python_exercises.html)*\n",
    "\n",
    "\n",
    "\"99 Bottles of Beer\" is a traditional song in the United States and Canada. It is popular to sing on long trips, as it has a very repetitive format which is easy to memorize, and can take a long time to sing. The song's simple lyrics are as follows:\n",
    "\n",
    "```\n",
    "99 bottles of beer on the wall, 99 bottles of beer.\n",
    "Take one down, pass it around, 98 bottles of beer on the wall.\n",
    "```\n",
    "\n",
    "The same verse is repeated, each time with one fewer bottle. The song is completed when the singer or singers reach zero.\n",
    "\n",
    "Your task here is write a Python program capable of generating all the verses of the song.\n"
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    "#### 9. Ceasar Cipher\n",
    "\n",
    "*(stolen from http://www.ling.gu.se/~lager/python_exercises.html)*\n",
    "\n",
    "In cryptography, a Caesar cipher is a very simple encryption techniques in which each letter in the plain text is replaced by a letter some fixed number of positions down the alphabet. For example, with a shift of 3, A would be replaced by D, B would become E, and so on. The method is named after Julius Caesar, who used it to communicate with his generals. ROT-13 (\"rotate by 13 places\") is a widely used example of a Caesar cipher where the shift is 13. In Python, the key for ROT-13 may be represented by means of the following dictionary:\n",
    "\n",
    "```python\n",
    "key = {'a':'n', 'b':'o', 'c':'p', 'd':'q', 'e':'r', 'f':'s', 'g':'t', 'h':'u', \n",
    "       'i':'v', 'j':'w', 'k':'x', 'l':'y', 'm':'z', 'n':'a', 'o':'b', 'p':'c', \n",
    "       'q':'d', 'r':'e', 's':'f', 't':'g', 'u':'h', 'v':'i', 'w':'j', 'x':'k',\n",
    "       'y':'l', 'z':'m', 'A':'N', 'B':'O', 'C':'P', 'D':'Q', 'E':'R', 'F':'S', \n",
    "       'G':'T', 'H':'U', 'I':'V', 'J':'W', 'K':'X', 'L':'Y', 'M':'Z', 'N':'A', \n",
    "       'O':'B', 'P':'C', 'Q':'D', 'R':'E', 'S':'F', 'T':'G', 'U':'H', 'V':'I', \n",
    "       'W':'J', 'X':'K', 'Y':'L', 'Z':'M'}\n",
    "```\n",
    "\n",
    "Your task in this exercise is to implement an decoder of ROT-13. Once you're done, you will be able to read the following secret message:\n",
    "\n",
    "```\n",
    "Pnrfne pvcure? V zhpu cersre Pnrfne fnynq!\n",
    "```\n",
    "\n",
    "**BONUS:** Write an encoder!"
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    "#### 10. Sum of numbers\n",
    "\n",
    "Write a program that asks the user for a number n and prints the sum of the numbers 1 to n. But: only multiples of three or five are considered in the sum, e.g. 3, 5, 6, 9, 10, 12, 15 for n=17"
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