## Homework for Week 11

Before the next class session, watch the videos about tuples and read the text material about sets.

### Tuples

*Slides** in English*

*Textbook** in English *

### Sets

Python also has a data type for *sets*. A set is an unordered collection of unique elements â€“ in a set there are no duplicates. Every element of a set must be immutable (cannot be changed) but any immutable data type is allowed: integers, floats, strings, even tuples, and so on.

Although a set (contrary to lists and dictionaries) cannot have mutable elements, a set itself is mutable â€“ we can add elements to it or remove elements from it.

#### Creating sets

A set is created by listing all its elements inside the curly brackets {}, separated by commas, or by using the built-in function *set()*. Note: to create an empty set you have to use *set()*, not *{}*; the latter creates an empty dictionary.

s1 = {8, 2, 3, 6, 7} s2 = set([6, 4, 5]) s3 = set('Good morning') s4 = set()

Go through the following examples as well.

>>> basket = {'apple', 'orange', 'apple', 'pear', 'orange', 'banana'} >>> print(basket) # show that duplicates have been removed {'orange', 'pear', 'banana', 'apple'} >>> X = set('abracadabra') >>> X # unique letters in X {'a', 'r', 'b', 'c', 'd'}

#### Set operations

Sets have a large number of built-in methods. The table below shows only the most basic ones. For more methods, see Python's documentation on sets.

Operation | Description |
---|---|

`s.add(el)` | add element `el` to set `s` |

`s.remove(el)` | remove element `el` from set `s` if the element is in the set. If `el` is not in the set, a KeyError is raised. |

`s.discard(el)` | remove element `el` from set `s` , if the element is in the set. If `el` is not in the set, nothing is done. |

`s.update(s1)` | update set `s` by adding the elements from another set `s1` |

`s.pop()` | remove an arbitrary element from set `s` , the method returns the element removed |

`s.clear()` | remove all elements from set `s` |

`s.copy()` | return a new set with a shallow copy of set `s` |

Sets also support mathematical operations like union, intersection, difference, and symmetric difference.

Operation | Description |
---|---|

`A & B` `A.intersection(B)` | a new set with elements that belong to both A and B at the same time |

`A | B` `A.union(B)` | a new set with all elements that belong to either A or B (or both) |

`A - B` `A.difference(B)` | difference of A and B, a set of elements that are only in A, but not in B |

`A ^ B` `A.symmetric_difference(B)` | symmetric difference of A and B, a set with elements in either A or B, but not in both |

`A <= B` `A.issubset(B)` | tests whether every element in set A is in set B |

`A >= B` `A.issuperset(B)` | tests whether every element in set B is in set A |

Try out these operations yourself!

#### Iterating through a set

Using a for-loop, we can iterate though a set:

for letter in set("apple"): print(letter, end=" ")

In the output, the duplicates are removed and the order of letters is not preserved:

p a e l

### Quiz

Go to Moodle and solve the test on tuples and sets.

### Examples

#### Example 1. Meetings

The following program is a modified example from last week â€“ *The meetings program*. The file *meetings.txt* contains records of meetings. Each number in the file indicates the day of the week when an appointment takes place.

The following program reads the data from the file and creates a dictionary, where the days of the week are the keys, and the numbers of appointments are the values. Then the program creates a list of tuples and sorts it in descending order. Finally, the program outputs three days which have the largest number of meetings.

def day_of_week(n): days = ['Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday', 'Saturday', 'Sunday'] return days[n-1] ffile = open("meetings.txt") meetings = dict() for line in ffile: try: number = int(line) day = day_of_week(number) meetings[day] = meetings.get(day,0) + 1 except: print("Invalid value") ffile.close() lst = list() for key, val in meetings.items(): lst.append( (val, key) ) lst.sort(reverse=True) for val, key in lst[:3]: print(key, val)

#### Example 2. Names

This program prompts the user for the first and last names of three people and outputs two names that have the most number of letters in common. Pay attention to the function *names* which returns several values (actually one tuple).

def names(number): first = input("Please enter the first name of person "+str(number)+": ") last = input("Please enter the last name of person "+str(number)+": ") return first.lower(), last.lower() def common(firstX, lastX, firstY, lastY): firsts = set(firstX) & set(firstY) lasts = set(lastX) & set(lastY) return len(firsts) + len(lasts) first1, last1 = names(1) first2, last2 = names(2) first3, last3 = names(3) common12 = common(first1, last1, first2, last2) common23 = common(first2, last2, first3, last3) common13 = common(first1, last1, first3, last3) if common12 >= common13 and common12 >= common23: print("Names of persons 1 and 2 are most similar to each other.") if common13 >= common12 and common13 >= common23: print("Names of persons 1 and 3 are most similar to each other.") if common23 >= common12 and common23 >= common13: print("Names of persons 2 and 3 are most similar to each other.")

### Exercises

#### 1. Birthdays

Modify the function *create_dictionary* in the *Birthdays* program of the last week in such a way that it constructs a dictionary where keys are years and values are numbers of people who have been born on that year. The function should take a filename as an argument and return a dictionary, where both keys and values are integers.

>>> create_dictionary('dates.txt') {1983: 3, 1987: 2, 1995: 10, 1992: 3, 1993: 3, 1994: 6, 1996: 5, 1984: 1, 1980: 2, 1991: 3, 1997: 3, 1988: 1, 1989: 4, 1970: 1, 1990: 3, 1959: 1}

Write a program that prompts the user for a filename and uses the function *create_dictionary* to output top 3 years that have the most birthdays in that file, together with the numbers of birthdays (one birthyear-number pair on each line).

Enter filename:dates.txtTop 3 years that have the most birthdays are: 1995 - 10 birthdays 1994 - 6 birthdays 1996 - 5 birthdays

#### 2. Distances between points

Write a function *distance* that takes two tuples of length two (coordinates of two points) as its arguments and returns the distance between the two points.

>>> A = (1, 2) >>> B = (5, 5) >>> distance(A, B) 5.0

*Hint:*

{$d = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}$}

Write a program that first asks the user for the number of points, then for each point asks for its *x* and *y* coordinates in the form (*x*,*y*). Then, using the function *distance*, finds and prints the numbers of two points that the closest to each other. If there are several pairs of points with the same distance, any such pair can be taken. Point numbers start from 1.

Here is an example of the output:

Please enter the number of points: 4 Please enter the coordinates of point 1: (8, 9) Please enter the coordinates of point 2: (3, 2) Please enter the coordinates of point 3: (16, 20) Please enter the coordinates of point 4: (0, 0) Points 2 and 4 are the closest to each other.

### Submit your solutions

Go to Moodle and upload your solutions there. The programs should have the names *home1.py* and *home2.py*, respectively.