# Lab 4

AI悦创原创1v1python 1v1数据结构一对一留学生辅导留学生作业辅导northeastern一对一辅导东北大学Python辅导东北大学Python一对一辅导大约 4 分钟...约 1162 字

### # Programming exercise 1: Drawing a rectangle

For this exercise, you'll use one or more `for` loops. Write a program called `rectangle.py` that asks the user for a symbol they would like to use to make a rectangle. Here, the symbol can be any single character (e.g., &, #, +, n, s, 3). Also, ask the user for the rectangle’s width and height. For example, if the user enters `+` for the symbol, `10` for the width, and `5` for the height, your program should print the following rectangle to the output:

``````++++++++++
+        +
+        +
+        +
++++++++++
``````

If the user enters `&`, `20` and `4` the triangle will look like this:

``````&&&&&&&&&&&&&&&&&&&&
&                  &
&                  &
&&&&&&&&&&&&&&&&&&&&
``````

If the user enters a value that is lower than 2 for either width or height, your program should give a message indicating that the value is too small.

### # Programming exercise 2: Christmas tree

Write a program called `christmas_tree.py` that uses a `for` loop to draw a Christmas tree along the lines of the following:

``````   *
/ \
/   \
/_____\
``````

The left edge of the tree is made up of `/` characters and the right edge is made up of `\` characters, the base (between the two edge characters) is made up of underscores (`_`), and the top of the tree is an asterisk.

Take an odd-valued input of 3 or greater from the user representing the width if the base of the tree. For the example above, the value would be 7. If the user inputs an even number, give them another chance to input a different (odd) number.

An input of 3 would yield the following tree:

`````` *
/_\
``````

An input of 9 would yield:

``````    *
/ \
/   \
/     \
/_______\
``````

### # Programming exercise 3: Magic square validator

A 3x3 magic square is a 3 by 3 square arrangement of digits between 1 and 9 (without duplicates) such that the sum of any 3 digits horizontally, vertically, or diagonally equals 15. You can read more about these on the Wikipedia page for magic squaresLinks to an external site.open in new window.

Your program will take a potential magic square from user input and validate whether the input is a magic square.

Take the input as three separate lines from the user (you can use a loop to get three lines one after the other. Using `input()` without an argument will let the user input another line without any printed prompt.) Each line should consist of three numerical characters. Once all three lines have been entered the program will evaluate whether or not the three rows form a magic square and report the result. For example, in this case, the numbers do add up to 15 in all 8 directions (three horizontal rows, three vertical columns, and two corner-to-corner diagonals):

``````\$ python magic_square_validator.py
Enter a magic number
492
357
816
This is a magic square!
``````

If the input values do not add up to 15 in all 8 directions, your program will report that the input square is not a magic square.

``````\$ python magic_square_validator.py
Enter a magic number
123
456
789
Not a magic square!
``````

Consider what would need to change to generalize this validator to squares of arbitrary sizes (you don't need to code this for the lab, but please think about what you would do differently). Name the program `magic_square_validator.py`.

### # Programming exercise 4: Drawing a circle

Similarly to the examples above, write a short script called `circle.py` that takes a value from the command line and prints out a circle with the radius corresponding to that value. For example, for the value 20, it would print something like this output (Okay, yes, this really renders more as an oval, because vertical spacing makes the characters we're using as pixels taller than they are wide. But the height and the width are the same number of characters, so we'll call it a circle):

``````\$ python circle.py 20

ooooooooooooo
ooooooooooooooooo
ooooooooooooooooooooo
ooooooooooooooooooooooo
ooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooooo
ooooooooooooooooooooooooooo
ooooooooooooooooooooooo
ooooooooooooooooooooo
ooooooooooooooooo
ooooooooooooo
``````

In order to determine where to draw `o`s and where to draw spaces, you'll want to think of each character's position in terms of an x and y position in a grid. The grid will be about twice the radius high and twice the radius wide (depending on how you handle the center of the circle it may be one off of twice the radius). Use the Pythagorean theoremLinks to an external site.open in new window to determine whether the distance of each character to the center of the grid is less than the value of the radius. If the distance is less than the radius, then the `o` character will be rendered in that position, otherwise the (empty space) will be rendered in that position. You can use the `sqrt` function from the `math` library (you must import math). Another function you might find useful is the `abs` function (absolute value). This function is built into Python's standard library, so you don't need to import anything to use it.

### # Submitting the lab

Submit `rectangle.py`, `christmas_tree.py`, `magic_square_validator.py` and `circle.py` on Canvas.

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