# Pre-lab homework. Turn in a flowchart for the program described in paragraph 1 below.  Your flowchart MUST describe the conceptually difficult parts of the program’s control flow logic.  Reminder: All pre-lab homework is due at the beginning of the lab period, and late pre-lab homework will earn a grade of 0.

As you work through these problems, remember what you've learned about problem solving in writing programs - break problems up into manageable, logically distinct “chunks”, and then use functions to implement these “chunks” as appropriate.

1.  Keeping track of the last `k` numbers entered with an array. Sometimes computers are allowed to forget things. For example, when I access my checking account online, only the last 10 cleared checks get displayed. We'll do something along the same lines here. Write a program that gets a number `k` from the user, and then simply reads strings from the user. When the user types the string `end`, the program prints out the last `k` strings entered by the user (not counting ``` end```) and then exits. A run of this program might look like:

`            Memory size? 3`
`            Enter strings: the world is a very big place end`
`            Last 3 words were: very big place`

Hint: Work out on paper what you'd like your array to look like at each step using the above input. Then try to write code to make it happen. Also, keep in mind that you need to know how big to make the array when you allocate space for it. You'll know how much "memory" you'll need, but no idea how many words the user will enter. Don't try to simply make a huge array - a sufficiently patient user would still be able to type in enough words to overflow it!

2.  Smoothing. Sometimes experimental data is noisy, so that you have a hard time seeing any trends. For example, plot the data in data.txt, and you'll see what I mean. In a situation like this, we might try to "average out" this noise. Instead of plotting each consecutive data value, we plot the average of each ``` k``` consecutive data values. So, if our original data was:

`            -2  2  1  5  2  5   `

... and `k` was 2, we'd have the "averaged" data points

`         0  1.5  3  3.5  3.5`
`  `

Plotting these two shows what a difference the averaging makes! Write a program that reads in a number ``` k``` from the user and then writes out the file that results from doing averaging on the data in data.txt using averages of `k` consecutive values (Think about your part 1 solution!). Import the original file and the "averaged" file using k = 20, into Excel to produce two plots, and then see how the original plot compares with the averaged (sometimes called “smoothed”) plot that your program produces. (Hint: use the `Line` chart type.)

Going Further

3.  Write a program that will read a text file like "table.txt" that contains information in the form of a table and writes an output file, except that the rows and columns have been swapped! The file, as you should see, starts by telling you how many rows and columns of data there are, though note that this does not count the row and column headings. Hint: it's probably easiest if you treat each table entry, whether row/column heading or data, as a string.
 Sample Run Input File Rendered Output File ```What is the input file: table.txt What is the output file: output.txt``` ```5 by 4 Singles Doubles Triples HRs Ames 6 2 0 1 Jones 4 1 1 0 Morris 3 0 0 4 Smith 6 4 0 0 Zoolander 0 0 0 0 ``` Ames    Jones   Morris  Smith   Zoolander Singles    6       4       3       6       0 Doubles    2       1       0       4       0      Triples    0       1       0       0       0 HRs        1       0       4       0       0

Christopher W Brown