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More importantly, the goal of this warmup assignment is to ensure that your local Python installation is set up correctly and that you are familiar with the CS41 submission process. - -At a high level, in this assignment you will write code to calculate coconut-carrying capacity, play the part of a cheese shop owner, and challenge knights to cross the Bridge of Death. - -- *Expected Time: 1.5 hours* -- *Max Time: 3 hours* - -Note: Get started early! We want to resolve any installation or submission problems earlier rather than later. - -## Review - -If you would like to, get a quick refresher by flipping through our slides from the first week on the [course website](https://stanfordpython.com/#lectures). - -## Installing Python - -Follow our instructions for installing Python and setting up a virtual environment. - -- For macOS users, follow [these instructions](https://github.com/stanfordpython/python-handouts/blob/master/installing-python-macos.md) -- For Linux users, follow [these instructions](https://github.com/stanfordpython/python-handouts/blob/master/installing-python-linux.md) -- For Windows users, follow [these instructions](https://github.com/stanfordpython/python-handouts/blob/master/installing-python-windows.md) - -**IMPORTANT: Every time you open a new terminal session, you will need to activate your virtual environment again.** - -## Starter Files - -There are no starter files for this assignment. You will create and submit a files named `coconuts.py`, `cheese.py`, and `bridge.py`. - -A reasonable starter file might look like: - -```python -#!/usr/bin/env python3 -"""Module-level comment.""" - -# Write additional code and functions here. - -def main(): - # Write the main execution of your program here. - -if __name__ == '__main__': - main() -``` - -# Program Specifications - -This assignment consists of three parts: - -1. Coconut-Carrying Capacities, -2. The Cheese Shop, and -3. The Bridge of Death. - -As a reminder, the interactive interpreter is your best friend! Use it heavily when experimenting with and exploring Python. - -## Coconut-Carrying Capacities - -Before anything else, watch [this three-minute video](https://www.youtube.com/watch?v=zqtS9xyl0f4) on Youtube. The transcript can be found [here](http://www.montypython.net/scripts/HG-cocoscene.php). - -We're going to help the guards out and compute whether a collection of swallows can carry a collection of coconuts between them. We know that "a five ounce bird could not carry a one pound coconut," so we will assume that a 5.5 ounce bird can carry a one pound coconut. More specifically, we will assume that every 5.5 ounces of bird can carry one pound of coconut. - -Create a file named `coconuts.py` in which we will write our program. In this portion of the assignment, we will ask the user for two numbers: the total ounces of birds that are carrying coconuts, and the total weight in pounds of the coconuts. - -Prompt the user for the number of ounces of bird by asking: `"How many ounces of birds are carrying the coconuts? "`. Prompt the user for the number of pounds of coconut by asking: `"How many pounds of coconuts are there? "`. Remember to convert these values to `float`s! You can assume that the user input is formatted correctly. - -If the total number of ounces of birds divided by the number of pounds of coconuts is at least 5.5 (including the value 5.5), then we will print out `"Yes! Carrying the coconuts is possible."`. Otherwise, print out `"No. Carrying the coconuts is impossible."` - -### Sample Runs - -Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* - -``` -(cs41-env)$ python coconuts.py -How many ounces of birds are carrying the coconuts? 5 -How many pounds of coconuts are there? 1 -No. Carrying the coconuts is impossible. - -(cs41-env)$ python coconuts.py -How many ounces of birds are carrying the coconuts? 6.2 -How many pounds of coconuts are there? 1.1 -Yes! Carrying the coconuts is possible. - -(cs41-env)$ python coconuts.py -How many ounces of birds are carrying the coconuts? 17 -How many pounds of coconuts are there? 3 -Yes! Carrying the coconuts is possible. - -(cs41-env)$ python coconuts.py -How many ounces of birds are carrying the coconuts? 12.5 -How many pounds of coconuts are there? 2.5 -No. Carrying the coconuts is impossible. -``` - -### Hints - -In all portions of this assignment, you may find it tedious to repeatedly enter inputs. You can create a file, for example called `coconuts-input.txt`, and populate it with the two lines `17` and `3` so that the file looks like: - -``` -17 -3 -``` - -Now, you can run the program with predetermined input by running: - -``` -(cs41-env)$ python3 coconuts.py < coconuts-input.txt -How many ounces of birds are carrying the coconuts? How many pounds of coconuts are there? Yes! Carrying the coconuts is possible. -``` - -The formatting will be compressed, and a little harder to read, but this debugging trick might be an efficiency gain for you in the later parts of the assignment. - -## The Cheese Shop - -Before anything else, watch [this five-minute video](https://www.facebook.com/MontyPython/videos/567922730042254/) (cw: gun violence) on Facebook. The transcript can be found [here](http://www.montypython.net/scripts/cheese.php). - -In this part of the assignment, you will play the part of the Michael Palin, the owner of the National Cheese Emporium. - -Unlike the owner in the sketch, you *do* have some cheeses, and you will repeatedly ask the user what cheese they would like, and then you will respond whether or not you have that cheese. - -Make a list of `cheeses` containing `"Muenster"`, `"Cheddar"`, and `"Red Leicester"`; these are the cheeses you have in your shop. - -Begin by printing the string `"Good morning. Welcome to the National Cheese Emporium!"` to the console. - -Next, in a loop, we will repeatedly ask the user which cheese they would like to buy. If the user enters the exact name of a cheese that you have, affirm that you have the cheese they asked for in the format `"We have {}, yessir."`. If the user does not enter the exact name of a cheese that you have, say that you don't have that cheese in the form `"I'm afraid we don't have any {}."` and then reprompt the user to ask for another cheese. - -The user is also allowed to enter special questions. If the user enters either of the strings `"You... do have some cheese, don't you?"` or `"Have you in fact got any cheese here at all?"`, you must reply by listing the number of cheeses that you have in the format `"We have {} cheese(s)!"`, along with the name of each type of cheese you have, one on each line. - -### Sample Usage - -Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* - -``` -(cs41-env)$ python cheese.py -Good morning. Welcome to the National Cheese Emporium! -What would you like? Red Windsor -I'm afraid we don't have any Red Windsor. -What would you like? Lancashire -I'm afraid we don't have any Lancashire. -What would you like? cheddar -I'm afraid we don't have any cheddar. -What would you like? Cheddar -We have Cheddar, yessir. - -(cs41-env)$ python cheese.py -Good morning. Welcome to the National Cheese Emporium! -What would you like? Red Windsor -I'm afraid we don't have any Red Windsor. -What would you like? cHeDdAr -I'm afraid we don't have any cHeDdAr. -What would you like? Have you in fact got any cheese here at all? -We have 3 cheese(s)! -Muenster -Cheddar -Red Leicester -What would you like? exit -I'm afraid we don't have any exit. -What would you like? LET ME OUT -I'm afraid we don't have any LET ME OUT. -What would you like? Cheddar -We have Cheddar, yessir. -``` - -For anything that is not specified in the above specification, your program can behave in anyway you'd like. For example, you can customize the prompts and messages. - -### Hints - -You can check that an element is contained in a collection by using the keyword `in`. You can use assignment expressions to assign a value to a variable in a loop condition. - -## Keeper of the Bridge of Death - -Before anything else, watch [this four-minute video](https://www.youtube.com/watch?v=dPOyOM7wxlE) on Youtube. The transcript can be found [here](http://www.montypython.net/scripts/HG-bridgescene.php). - -In this assignment, you program will play the part of the Keeper of the Bridge of Death (a.k.a. the old person from Scene 24), and the user will play the part of the travelling knights. In this part of the assignment, you will gain practice with file reading, lists and strings. - -First, create a file called `answers.txt` containing the following input: - -``` -your favorite color? blue -the capital of Assyria? ashur|kalhu|dur-sharrukin|nineveh|harra -your favorite color? blue|green -the airspeed velocity of an unladen swallow? 24mph|11mps -``` - -Each line of the file has the following format: - -``` -question? one possible response|another response|a third response -``` -where the question is separated from the responses by the two-character string `"? "` and the options themselves are separated by the pipe character (`"|"`). You can assume that the file is well-formatted. You can also assume that no question or response will contain a `'?'` or a `'|'` (they may contain any other characters, including spaces). - -As the Keeper of the Bridge of Death, you will ask travellers three questions each. Two of those will be the same, for every traveller, and then you'll ask a trick question. The `answers.txt` files provides the trick questions that you will ask. It also specifies how many travellers there will be: the number of travellers will be equal to the number of trick questions. - -For each traveller, begin by printing a warning message: `"Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see."`. - -Next, we will ask the travellers a series of questions. Each time, we will ask some question, prompting the user for input. Strip the user's input of any trailing spaces, `'.'`, or `'!'` characters. - -Each traveller who wants to cross the bridge will be asked three questions. The first is `"What is your name? "`. The second is `"What is your quest? "`. The third will be drawn from the `answers.txt` file. To form the trick question, you'll ask the question from `answers.txt`, formatted as `"What is {question}? "`, where `question` refers to the format specification above. - -For the trick question, the list of possible answers follows the question in the `answers.txt` file. If the user's input does not *contain* any of our reference options as a substring, ignoring case, we will cast the traveller into the Gorge of Eternal Peril (more on this further down) and immediately move onto the next traveller. (For example, the answer `"Lancelot"`, `"sir galahad of camelot "` and `" NO, THIS IS ROBIN "` all are successfully matched by the option list `Lancelot|Galahad|Robin`). - -Successive travellers will be asked sequential questions from the file. For example, in the `answers.txt` file given above, there will be a total of four travellers, because there are four questions. These questions will, in order, be - -``` -"What is your favorite color? " -"What is the capital of Assyria? " -"What is your favorite color? " -"What is the airspeed velocity of an unladen swallow? " -``` - -In this case, each will be the third question asked to four successive travellers, following the questions `"What is your name? "` and `"What is your quest? "`. Once you've asked all of the trick questions, you program should end normally. For example, if there were seven lines in `answers.txt`, at most seven travelling knights could visit the keeper. - -If the travelling knight answers all three questions satisfactorily, print `"Right. Off you go."` and move on to the next traveller, prompting for their name. - -When a traveller is cast into the Gorge of Eternal Peril, print out their name, in all capital letters, with the text `": Auuuuuuuugh!"`appended. For example, if Galahad fails to answer the trick question correctly, print out `"GALAHAD: Auuuuuuuugh!"`. - -Each message you print to the console should be prefaced by `"KEEPER: "`. - -Lastly, if the user answers *any* of your questions with text that ends with a `'?'` character, not counting trailing whitespace, periods, or exclamation points, you should reply: `"KEEPER: Auuuuuuuugh!"` and immediately end the program. Since the keeper is gone, be sure you don't keep answering questions. - -### Hints - -You can convert a string `s` to upper case by calling `s.upper()`, which returns the result of upper-casing `s`. Similarly, `s.lower()` returns `s` in lower-case. - -Although there are many data structures that you can use to organize the data in this problem, it is sufficient to only use lists. We will see more powerful ways of structuring nested data like this later in the course. - -You can split a string using `.split()`, which returns a list of strings. You can even pass `split` a separator character on which it will split chunks. For example: - -``` -"01-10-2019".split('-') # => ['01', '10', '2019'] -``` - -This program has a lot of interactive input. Use the input mocking trick we saw above to save yourself time in entering this assignment. - -### Sample Usage - -Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* - -``` -(cs41-env)$ python bridge.py -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? My name is Sir Lancelot of Camelot. -KEEPER: What is your quest? To seek the Holy Grail. -KEEPER: What is your favorite color? Blue. -KEEPER: Right. Off you go. -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? Sir Robin of Camelot. -KEEPER: What is your quest? To seek the Holy Grail. -KEEPER: What is the capital of Assyria? I don't know that! -SIR ROBIN OF CAMELOT: Auuuuuuuugh! -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? Sir Galahad of Camelot. -KEEPER: What is your quest? I seek the grail. -KEEPER: What is your favorite color? Red. No bl-- -SIR GALAHAD OF CAMELOT: Auuuuuuuugh! -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? It is Arthur, King of the Britons. -KEEPER: What is your quest? To seek the Holy Grail. -KEEPER: What is the airspeed velocity of an unladen swallow? What do you mean? An African or European swallow? -KEEPER: Auuuuuuuugh! - -(cs41-env)$ python bridge.py -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? Patrick -KEEPER: What is your quest? Meet Spongebob -KEEPER: What is your favorite color? PINK! -PATRICK: Auuuuuuuugh! -... - -(cs41-env)$ python bridge.py -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? gAlAhAd Of CaMeLoT -KEEPER: What is your quest? What's *your* quest?!? -KEEPER: Auuuuuuuugh! - -(cs41-env)$ python bridge.py -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? My name is Sir Lancelot of Camelot. -KEEPER: What is your quest? To seek the Holy Grail. -KEEPER: What is your favorite color? Blue. -KEEPER: Right. Off you go. -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? Sir Robin of Camelot. -KEEPER: What is your quest? To seek the Holy Grail. -KEEPER: What is the capital of Assyria? It was Ashur for a while, at least. -KEEPER: Right. Off you go. -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? Sir Galahad of Camelot. -KEEPER: What is your quest? I seek the grail. -KEEPER: What is your favorite color? Green. -KEEPER: Right. Off you go. -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? It is Arthur, King of the Britons. -KEEPER: What is your quest? To seek the Holy Grail. -KEEPER: What is the airspeed velocity of an unladen swallow? According to Google, it's about 24mph. -KEEPER: Right. Off you go. - -(cs41-env)$ python bridge.py -KEEPER: Stop! Who would cross the Bridge of Death must answer me these questions three, 'ere the other side he see. -KEEPER: What is your name? Excuse me?! -KEEPER: Auuuuuuuugh! -``` - -## Extensions -> Extensions on Assignment 0? If you insist. - -This section of an assignment handout usually gives a few of our suggestions if you're looking for ways to go above and beyond the requirements of the assignment. At no point are you ever required to implement an extension - although they sometimes provide interesting challenges or alternative approaches to problem-solving. - -In general, when you submit an extension to an assignment, add `-ext` to the end of the filename. In this case, if you want to submit an extension, you should submit both an unmodified `coconuts.py` file that implements the unextended assignment and a `coconuts-ext.py` file that implements your extension. Extension programs should also contain a module-level comment explaining what the extended assignment does differently. - -### Binge-Watch Monty Python Videos on Youtube -Including but not limited to: - -- [The Dead Parrot](https://www.youtube.com/watch?v=4vuW6tQ0218) -- [The Argument Clinic](https://www.youtube.com/watch?v=XNkjDuSVXiE) - -or [the Monty Python channel](https://www.youtube.com/user/MontyPython/videos?sort=p&flow=grid&view=0) - -Include in your submission a file called `review.txt` with your thoughts on whichever videos you've watched! - -You can tell your friends and family that it's "for class." - -### `coconuts`: Multiple questions -Allow the user to assess the coconut-carrying capacity of birds by putting your question-answering logic in a loop. Continue until the user enters an empty line for either the number of ounces of swallow or the number of pounds of coconut. - -### `coconuts`: Advanced coconut-carrying logic -Ask the user to differentiate between a European and African swallow. Penalize (or reward) groups of swallows or individual swallows. - -### `cheese`: Cycle through responses -Instead of always using the same prompts and responses, cycle through a list of predetermined responses. - -### `cheese`: Fuzzy matching -Allow the user to enter any input, and search for each of your cheeses, case-insensitively, in their input. That is, let the user ask: `"Any Norwegian Jarlsberger, per chance?"`. - -### `bridge`: Add more questions and responses to the `answers` file -Create a new file named `answer-ext.txt`, and extend it by adding more lines to the file that ask more questions or offer a different collection of acceptable responses. - -### `bridge`: Match regular expressions instead of fuzzy text matching -If you are comfortable with regular expressions, update your code to treat potential responses as regular expressions, and say that user input is successful if it satisfies any of the regular expressions. - -## Grading - -Your grade for this assignment will be assessed on completion. If you successfully submit a Python program that largely follows the specification above, you will receive full credit on this assignment. We will not be very strict on edge cases, although we encourage you to attempt to match the above specification exactly. - -We will not be grading your style on this assignment, since we haven't yet talked about what good Python style looks like in detail. However, we will be leaving feedback on your style, so take a pass through your completed assignment to make its style feel good (to you!) if you haven't already done that. - -## Style Checks - -While not necessary for this assignment, we want to point out a really useful tool for following the mechanics of Python style. The `pycodestyle` command-line tool (previously called `pep8`) takes as arguments a list of Python files and outputs a list of mechanical style violations. This catches small things like inconsistent spacing, line length, whitespace, but not larger things like program design, idiomatic Python, or structural complexity. You can run `pycodestyle` as follows: - -``` -(cs41-env)$ pycodestyle coconuts.py cheese.py bridge.py -``` - -Any style violations will be printed to the console. You can automatically apply all of these changes using the `autopep8` tool. Be warned that the `autopep8` tool overwrites your files in-place, and may substantially change them, so you might want to apply changes by hand. However, `autopep8` can be a good time saver. - -``` -(cs41-env)$ autopep8 coconuts.py cheese.py bridge.py -``` - -If you just want to see what changes would be made, but not apply them, you can use `autopep8 --diff coconuts.py cheese.py bridge.py` instead. - -We installed both `pycodestyle` and `autopep8` into our virtual environment, so they will be available inside of the virtual environment. That is, make sure that you have activated your `cs41-env` virtual environment in order to run these tools. - -## Submitting - -Submit the python files you've created; no need to submit `answers.txt`. See the [submission instructions](https://github.com/stanfordpython/python-handouts/blob/master/submitting-assignments.md) on the course website for how to do this. The short version is that we are using [Paperless](https://paperless.stanford.edu) and submission works almost the same as in the CS106 series. - -If you've added any extra files or extensions above to the assignment, you should include those in your Paperless submission as well. - -## Credit -Credit for the assignment idea and much of this writeup go to Sam Redmond (@sredmond). - -> With 🦄 by @parthsarin and @coopermj diff --git a/assign1/README.md b/assign1/README.md deleted file mode 100644 index dea9cc5..0000000 --- a/assign1/README.md +++ /dev/null @@ -1,619 +0,0 @@ -# Assignment 1: Cryptography -**Due: Midnight, Tuesday of Week 5 (Febuary 4, 2020)** - -## Overview -In this assignment, you will build a cryptography suite that implements two or three different cryptosystems - Caesar cipher, Vigenere cipher, and (optionally) the Merkle-Hellman Knapsack Cryptosystem. This handout will walk you through the details of building this text-based cryptography tool. We want to instill good Pythonic practices from the beginning - so we encourage you to think critically about writing clean Python code. - -* *Expected Time: 3 hours, 6 hours with Merkle-Hellman* -* *Max Time: 6 hours; higher if you complete an extension* - -Note: It's always a good idea to get started early, in case you run into unexpected difficulties down the line. Merkle-Hellman is a hard cipher to implement. - -## Review - -Get a quick refresher by flipping through our slides from the first few weeks on [the course website](https://stanfordpython.com). - -## Starter Files - -We've provided starter files available on the website as a skeleton for this assignment. Here's an overview of what's in it: - -1. `crypto.py` is the primary file you will modify. It will implement all the functions to decrypt/encrypt strings. -2. `utils.py` provides some helper functions for the Merkle-Hellman cryptosystem. -3. `crypto-console.py` runs an interactive console that lets you test your cryptography functions. -4. `design.txt` is where you'll record some design decisions you're making. -5. `tests/` folder contains test input and output -6. `res/` folder of sample text files to play around with file I/O. For Merkle-Hellman, we used the random seed 41 to generate these values. - -The files in the `res/` folder come in pairs and correspond to plaintext and ciphertext pairs. - -``` -res/caesar-plain.txt and res/caesar-cipher.txt -res/vigenere-plain.txt and res/vigenere-cipher.txt -res/mh-plain.txt and res/mh-cipher.txt -``` - -# Cryptography Suite -## General Tips - -You'll be modifying a lot of strings in this assignment. The `string` module exports some useful values: - -``` ->>> import string ->>> string.ascii_letters -'abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ' ->>> string.ascii_uppercase -'ABCDEFGHIJKLMNOPQRSTUVWXYZ' ->>> string.ascii_lowercase -'abcdefghijklmnopqrstuvwxyz' ->>> string.punctuation -'!"#$%&\'()*+,-./:;<=>?@[\\]^_`{|}~' -``` - -## Building the Ciphers -In this section, you will build cipher functions to encrypt and decrypt messages. We'll give a brief overview of each cipher and give some pointers on how it fits it into the starter files. - -### Caesar Cipher - -A Caesar cipher involves shifting each character in a plaintext by **three** letters forward (note that the shift can be anything between zero and 25, but we're just going to implement the three-shift cipher): - -``` -A -> D, B -> E, C -> F, etc... -``` - -At the end of the alphabet, the cipher mapping wraps around the end, so: - -``` -..., X -> A, Y -> B, Z -> C. -``` - -For example, encrypting `'PYTHON'` using a Caesar cipher gives - -``` -PYTHON -|||||| -SBWKRQ -``` - -In this part, implement the functions: - -```Python -encrypt_caesar(plaintext) -decrypt_caesar(ciphertext) -``` - -Each of these functions takes one argument, a string representing a message to be encrypted or decrypted, and returns a string representing the encrypted or decrypted message. - -Notes: - -- Non-alphabetic characters should not be modified by encryption or decryption. -- You may assume that all alphabetic characters will be in uppercase. -- Do not assume that the arguments to this function always have at least one character. - -That is, `encrypt_caesar("")` should return `""` (the empty string) and `encrypt_caesar("F1RST P0ST")` should return `"I1UVW S0VW"` (where the letters have been encrypted by the numbers, and the space, have been left unchanged). - -There are two ways to test your ciphers. - -Your primary method of debugging should be using the interactive interpreter: - -``` -(cs41-env) $ ipython -i crypto.py -In [1]: encrypt_caesar("PYTHON") -"SBWKRQ" -In [2]:decrypt_caesar("SBWKRQ") -"PYTHON" -``` - -A non-exhaustive list of test cases, represented by a tab-delimited (plaintext, ciphertext) pair are given in the text file `tests/caesar-tests.txt`. You can use this file to sanity check your implementation. - -**Questions to Ponder:** - -- What sort of data structure can be used to represent an association of input characters to (encrypted) output characters? -- How can we make one of these data structures efficiently? -- How can we use it to transform an input message? - -For this part of the assignment, try not to use the `ord` and `chr` functions. - -### Vigenere Cipher - -A Vigenere cipher is similar in nature to a Caesar cipher. However, in a Vigenere cipher, every character in the plaintext can be shifted by a variable amount. The amount to shift any letter in the plaintext is determined by a keyword, where 'A' corresponds to shift of 0 (no shift), 'B' corresponds to a shift of 1, ..., and 'Z' corresponds to a shift of 25, wrapping around if necessary (as with the Caesar cipher). - -The keyword is repeated or truncated as necessary to fit the length of the plaintext. As an example, encrypting `"ATTACKATDAWN"` with the key `"LEMON"` gives: - -``` -Plaintext: ATTACKATDAWN -Key: LEMONLEMONLE -Ciphertext: LXFOPVEFRNHR -``` - -Looking more closely, each letter in the ciphertext is the sum of the letters in the plaintext and the key. Thus, the first character of ciphertext is `"L"` because of the following calculations: - -``` -A + L = 0 + 11 = 11 -> L -``` - -The second character of the ciphertext is `"X"` because shifting `"T"` by 4 (associated to shifting by `"E"`) gives: - -``` -T + E = 19 + 4 = 23 -> X -``` - -Note that, since we're considering A to encode 0, our indices are one off of a letter's ordinal position in the alphabet. That is, even though E is the 5th letter of the alphabet, it encodes a shift of 4. - -The third character of the ciphertext is `"F"` because: - -``` -T + M = 19 + 12 = 31 -> 5 -> F -``` - -We have wrapped around the alphabet from +31 to +5, resulting in an output ciphertext character of `"F"`. - -Implement the functions: - -```Python -encrypt_vigenere(plaintext, keyword) -decrypt_vigenere(ciphertext, keyword) -``` - -These functions take two arguments, a message to encrypt (or decrypt) and a keyword to use for encryption or decryption. Both functions should return the encrypted (or decrypted) message. - -Notes: - -- You can assume that all characters in the plaintext, ciphertext, and keyword will be alphabetic (i.e no spaces, numbers, or punctuation). -- You can assume that all of the characters will be provided in uppercase. -- You can assume that keyword will have at least one letter in it. - -After you've implemented these functions, you can test them using the interactive interpreter. - -``` -(cs41-env)$ ipython -i crypto.py -In [1]: encrypt_vigenere("ATTACKATDAWN", "LEMON") -"LXFOPVEFRNHR" -In [2]: decrypt_vigenere("LXFOPVEFRNHR", "LEMON") -"ATTACKATDAWN" -``` -Another list of non-exhaustive tests are available at `tests/vigenere-tests.txt`. - -**Questions to Ponder:** - -- How can you cycle through the letters of the keyword? Consider looking at functions exported by the `itertools` module. -- What concepts from class can we employ to make this code more elegant? - -You can use the functions `ord` and `chr` which convert strings of length one to and from their ASCII numerical equivalents. For example, `ord('A') == 65`, `ord('B') == 66`, ..., `ord('Z') == 90`, and `chr(65) == 'A'`, `chr(66) == 'B'`, ..., `chr(90) == 'Z'`. For an extra challenge, try to implement these functions purely functionally. - -Intrigued? Take a look in `not_a_secret_message.txt`. One possible extension is to try to decrypt this message (or any encrypted message!) despite not knowing what the key is. For this encryption, ignore non-alphabetic characters entirely. In particular, non-alphabetic characters do not use up any of the characters from the key. For example: - -``` - ATTACK AT DAWN! -+ LEMONL EM ONLE ------------------ - LXFOPV EF RNHR! -``` - - -## Console Menu - -To help you test your implementation, we've provided a console menu to interact with the cryptography functions you're building. This shouldn't replace your normal debugging process - rather, view it as an augmentation of the tools you have that you can use to track down any elusive bugs. - -In general, this console doesn't do very much error handling (since it's just intended as a debugging tool), so it may crash gracelessly when given bad input. You're welcome to modify or change the console menu as you see fit. We'll only be grading the functions in the `crypto` module, so make sure that you don't change the interface if you modify the console code. - -After implementing some of the functions, a sample run of the console might look like: - -``` -(cs41-env) $ python3 crypto-console.py -Welcome to the Cryptography Suite! ----------------------------------- -* Cryptosystem * -(C)aesar, (V)igenere or (M)erkle-Hellman? c -* Action * -(E)ncrypt or (D)ecrypt? e -* Input * -(F)ile or (S)tring? s -Enter a string: hello! -* Transform * -Encrypting HELLO! using Caesar cipher... -* Output * -(F)ile or (S)tring? s -"KHOOR" -Again? (Y/N) y ----------------------------------- -* Cryptosystem * -(C)aesar, (V)igenere or (M)erkle-Hellman? v -* Action * -(E)ncrypt or (D)ecrypt? d -* Input * -(F)ile or (S)tring? f -Filename? res/vigenere-cipher.txt -* Transform * -Keyword? LEMON -Decrypting LXFOPVEFRNHR using Vigenere cipher and keyword LEMON... -* Output * -(F)ile or (S)tring? s -"ATTACKATDAWN" -Again? (Y/N) n -Goodbye! -(cs41-env) $ -``` - -## Design - -Please submit a short design document (`design.txt`) describing your approach to each of the parts of the assignment. "Short" means just a few sentences (1-3) per part discussing the rationale behind your decision to implement this program in the way you did. Consider answering the following questions: - -1. What data structures did you use to handle transformation of data? -2. What Pythonic ideas or strategies did you incorporate in your approach, if any? - -Again, by "short" we really mean that you shouldn't take more than, say, fifteen minutes filling out this document. - -## Grading - -Your grade will be assessed on both functionality and style. - -Functionality will be determined entirely by your program's correctness on a suite of unit tests (some of which are provided with the starter code). - -Stylistically, you will be evaluated on your general program design (a la 106 series: decomposition, logic, naming, spacing) as well as your Python-specific style. In particular, we will be looking for "Pythonic" approaches to solving problems, as opposed to "non-Pythonic" solutions, that emphasize the Zen of Python. We will also be looking at your Python syntax and mechanics. - -**We encourage you to format your code in accordance with [Python style guidelines](https://www.python.org/dev/peps/pep-0008/).** - -You can find a tool to help format your code [online](http://pep8online.com/). If you have any questions, please don't hesitate to let us know. Think about the [Zen of Python](https://www.python.org/dev/peps/pep-0020/) when making design decisions. - -## Submitting - -Submit the following files: - -1. Your modified `crypto.py` -2. The `design.txt` file documenting your design decisions - -See the [submission instructions](https://github.com/stanfordpython/python-handouts/blob/master/submitting-assignments.md) on the course website. - -## Merkle-Hellman Knapsack Cryptosystem (optional) - -Public-key cryptography is essential to modern society. You may have heard of RSA - one of the most popular public-key cryptosystems. Less well known, however, is the Merkle-Hellman Knapsack Cryptosystem, one of the earliest public-key cryptosystems (invented in 1978!), which relies on the NP-complete subset sum problem. Although it has been since been broken, it illustrates several important concepts in public-key cryptography and gives you lots of practice with the Pythonic constructs we've discussed in this class. - -Building the Merkle-Hellman Cryptosystem involves three parts: - -1. Key Generation -2. Encryption -3. Decryption - -At a high-level, in the Merkle-Hellman Knapsack Cryptosystem, all participants go through key generation once to construct both a public key and a private key, linked together in some mathematical way. Public keys are made publicly available, whereas private keys are kept under lock and key (no pun intended). Usually, encryption functions are derived from the public keys, and decryption functions are derived from the private keys, so in some sense they act as inverses. - -For Person A to send a message `m` to Person B, Person A encrypts message `m` using Person B's public-key-derived encryption function. Person A can then send the encrypted message to Person B over an insecure channel. Person B then decrypts the encrypted message using Person B's private-key-derived decryption function, which only Person B knows. Often, long messages are send in shorted chunks, with each chunk respectively encrypted before it is sent to the recipient. - -Make sure you understand the general idea behind public-key cryptosystems before moving forward. You don't need to know all of the details, but you should be able to explain why Person A doesn't encrypt an outgoing message with her own public key. - -First, we'll discuss the mathematics behind Merkle-Hellman Knapsack Cryptosystem, and then we'll dive into what functions you have to write for this assignment. - - -#### Key Generation -In the key generation step, we will construct a private key and a public key. - -Choose a fixed integer `n` for the chunk size (in bits) of messages to send. For this assignment, we'll use `n = 8` bits, so we can encrypt and decrypt messages one byte at a time. - -First, we must build a superincreasing sequence of `n` nonzero natural numbers: - -``` -w = (w_1, w_2, ..., w_n) -``` - -A superincreasing sequence is one in which every element is greater than the sum of all previous elements. For example, `(1, 3, 6, 13, 27, 52)` is a superincreasing sequence, but `(1, 3, 4, 9, 15, 25)` is not, because `1 + 3 + 4 + 9 = 16 > 15`. One way to construct a superincreasing sequence is to start with some small number - say, a random number between 2 and 10. You can generate the next number by selecting randomly from a range something like `[total + 1, 2 * total]`, where `total` is the sum of all of the elements so far. In this way, we can iteratively build up as large a superincreasing sequence as we need - in this case, until we have `n = 8` elements. - -Next, we pick a random integer `q`, such that `q` is greater than the sum of the the elements in `w`. To leverage code we've already written, let's choose `q` between `[total + 1, 2 * total]`, where `total` is the sum over all elements of `w`. - -Then, we choose a random integer `r` such that `gcd(r, q) = 1` (i.e. r and q are coprime). To accomplish this, it's sufficient to just generate random numbers in the range `[2, q-1]` until you find some `r` such that `r` and `q` are coprime. (Hint: the `utils` module exports a convenient `coprime` function. Use it!) - -Finally, we calculate the tuple - -``` -beta = (b_1, b_2, ..., b_n) -``` - -where - -``` -b_i = r × w_i mod q -``` - -The public key is `beta`, while the private key is `(w, q, r)`. - -Both `w` and `beta` should be represented as tuples, since they are fixed-size and immutable. - -*Implementation Note:* - -To find random integers, you can use the `randint(a, b)` function (returns a random integer in the range [a, b], including both end points) from the `random` module. For example, - -``` -import random -x = random.randint(1, 6) # Returns either 1, 2, 3, 4, 5, 6 with uniform probability. -``` - -#### Encryption - -We will encrypt a message one character (byte) at a time. - -To encrypt a character, first convert it into an equivalent array of bits. For example, the character `'A'` has an ASCII value of 65, which can be written in binary as `01000001`. We will represent this as the 8-element array `[0, 1, 0, 0, 0, 0, 0, 1]`. If there are leading zeros in the binary representation, we need to make sure that we generate an 8-element array as shown above, with leading zeros as necessary. - -Encrypting this character is now equivalent to encrypting an 8-bit message. Define - -``` -alpha = (a_1, a_2, ..., a_n) -``` - -where `a_i` is the `i`-th bit of the message and `a_i` is either 0 or 1. In our example able, `a_1 == 0` and `a_8 == 1`. Next, we calculate: - -``` -c = sum of a_i × b_i for i = 1 to n -``` - -We then output `c` as the encryption of our character. Note that `c` is an integer, possibly much larger than 255. - -The encryption of a long message is an array of these `c`s. - -*Implementation Note:* - -Whenever you're encrypting or decrypting data using Merkle-Hellman, you'll want to deal with bits. Fortunately, the `utils` module exports a `bits_to_byte(bits)` and `byte_to_bits(byte)` functions which respectively convert a tuple of length 8 containing 1s and 0s to an integer between 0-255 (conceptually, a byte). - -#### Decryption - -In order to decrypt a ciphertext `c` and recover a single character, a receiver would have to determine the message bits `a_i` such that they satisfy - -``` -c = sum of a_i × b_i for i = 1 to n -``` - -This is generally a hard problem, if the `b_i` are random values, because the receiver would have to solve an instance of the subset sum problem, which is known to be NP-hard (i.e. very hard). However, we constructed `beta` in a very special way, such that if we *also* know the private key `(w, q, r)`, then we can decrypt the message more easily using mathematical magic. - -The key to decryption will be a special integer `s` that has some nice properties - namely, that `s` is the modular inverse of `r` modulo `q`. That means `s` satisfies the equation `r × s mod q = 1`, and since `r` was chosen such that `gcd(r, q) = 1`, it will always be possible to find such an `s` using something called the Extended Euclidean algorithm, which we've implemented for you (in `utils.modinv(r, q)`). It's a really cool algorithm! If you're interested, Wikipedia has a [nice summary](https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm). - -Once `s` is determined, the receiver of the ciphertext computes - -``` -c' = cs mod(q) -``` - -for each ciphertext piece `c`. Because we know `r × s mod q = 1` and `b_i = r × w_i (mod q)`, it's also true that - -``` -b_i s = w_i × r × s = w_i (mod q). -``` - -Therefore, - -``` -c' = c × s = sum of a_i × b_i × s for each i = a_i × w_i (mod q). -``` - -Wow! We've converted our problem of solving a subset sum problem over the `b_i`s, which might be a very nasty sequence, to an equivalent problem over the `w_i`s, which form a very nice sequence. In particular, recall that the `w_i`s form a superincreasing sequence! - -Therefore, the receiver has to solve the subset sum problem: - -``` -c' = sum of a_i × w_i for i = 1 to n -``` - -This problem is computationally easy because `w` was chosen to be a superincreasing sequence! Take the largest element in `w`, say `w_k`. If `w_k > c'` , then `a_k = 0`, and if `w_k <= c'`, then `a_k = 1`. Then, subtract `w_k × a_k` from `c'` , and repeat these steps, iterating backwards, until you have recovered all of `alpha`. - -Still confused? This stuff can get complicated. Wikipedia provides [a great example](https://en.wikipedia.org/wiki/Merkle%E2%80%93Hellman_knapsack_cryptosystem#Example) to work through if you prefer concrete numbers over abstract symbols. - -#### Implementation - -What do you actually have to implement? We've taken care of a lot of the math behind-the-scenes (if you want to check out how, look into `utils.py`), so your job focuses more on the data structures and Pythonic constructs. In particular, you need to write the following four functions. - -```Python -def generate_private_key(n=8): - """Generate a private key to use with the Merkle-Hellman Knapsack Cryptosystem. - - Following the instructions in the handout, construct the private key - components of the MH Cryptosystem. This consists of 3 tasks: - - 1. Build a superincreasing sequence `w` of length n - Note: You can double-check that a sequence is superincreasing by using: - `utils.is_superincreasing(seq)` - 2. Choose some integer `q` greater than the sum of all elements in `w` - 3. Discover an integer `r` between 2 and q that is coprime to `q` - Note: You can use `utils.coprime(r, q)` for this. - - You'll also need to use the random module's `randint` function, which you - will have to import. - - Somehow, you'll have to return all three of these values from this function! - Can we do that in Python?! - - :param n: Bitsize of message to send (defaults to 8) - :type n: int - - :returns: 3-tuple private key `(w, q, r)`, with `w` a n-tuple, and q and r ints. - """ - - -def create_public_key(private_key): - """Create a public key corresponding to the given private key. - - To accomplish this, you only need to build and return `beta` as described in - the handout. - - beta = (b_1, b_2, ..., b_n) where b_i = r × w_i mod q - - Hint: this can be written in one or two lines using list comprehensions. - - :param private_key: The private key created by generate_private_key. - :type private_key: 3-tuple `(w, q, r)`, with `w` a n-tuple, and q and r ints. - - :returns: n-tuple public key - """ - - -def encrypt_mh(message, public_key): - """Encrypt an outgoing message using a public key. - - Following the outline of the handout, you will need to: - 1. Separate the message into chunks based on the size of the public key. - In our case, that's the fixed value n = 8, corresponding to a single - byte. In principle, we should work for any value of n, but we'll - assert that it's fine to operate byte-by-byte. - 2. For each byte, determine its 8 bits (the `a_i`s). You can use - `utils.byte_to_bits(byte)`. - 3. Encrypt the 8 message bits by computing - c = sum of a_i * b_i for i = 1 to n - 4. Return a list of the encrypted ciphertexts for each chunk of the message. - - Hint: Think about using `zip` and other tools we've discussed in class. - - :param message: The message to be encrypted. - :type message: bytes - :param public_key: The public key of the message's recipient. - :type public_key: n-tuple of ints - - :returns: Encrypted message bytes represented as a list of ints. - """ - - -def decrypt_mh(message, private_key): - """Decrypt an incoming message using a private key. - - Following the outline of the handout, you will need to: - 1. Extract w, q, and r from the private key. - 2. Compute s, the modular inverse of r mod q, using the Extended Euclidean - algorithm (implemented for you at `utils.modinv(r, q)`) - 3. For each byte-sized chunk, compute - c' = cs (mod q) - 4. Solve the superincreasing subset sum problem using c' and w to recover - the original plaintext byte. - 5. Reconstitute the decrypted bytes to form the original message. - - :param message: Encrypted message chunks. - :type message: list of ints - :param private_key: The private key of the recipient (you). - :type private_key: 3-tuple of w, q, and r - - :returns: bytearray or str of decrypted characters - """ -``` - -The astute reader might notice that the input parameter to encrypt_mh is actually a message of type `bytes`, which is a standard type we haven't seen before. The [standard library](https://docs.python.org/3/library/stdtypes.html#bytes) provides the best documentation for `bytes`, but the short version is that a `bytes` object behaves like an immutable sequence of integers, with each value in the sequence restricted such that 0 <= x < 256. A `bytes` object can be declared (for testing) by prefixing a string literal with a `b`. That is, `x = b"ABC"` assigns a `bytes` object with three elements to the variable `x`, and `x[0]` is not the length-one string `'A'` as you might expect, but rather the number `65`, which corresponds to the ASCII value of `'A'`. - -If this seems like a hard problem, that's because it is! If you get stuck, even on something that *feels* like it should be simple, please reach out to the course staff over Piazza. We're more than happy to help! - -*Lots of credit to the Wikipedia summary for this explanation! Much of this description is shamelessly copied and modified :)* - -## Extensions - -What?! You still haven't had enough? Okay, your call. - -The following section contains possible extensions and is **entirely optional**. If you choose to take a crack at any, regardless of how far you get, let us know how it went in your feedback! - -We've added 🌶 guidelines so you can gauge how hard a given extension might be. For calibration, the Merkle-Hellman cryptosystem, given our helper functions and overview, would be rated as 🌶 🌶. - -### Scytale Cipher -*Difficulty: 🌶 🌶* - -The scytale was used as far back as the [Spartans](http://www.australianscience.com.au/technology/a-scytale-cryptography-of-the-ancient-sparta/), and is one example of ancient cryptography thought to be used in military campaigns. The [Wikipedia page](https://en.wikipedia.org/wiki/Scytale) has a good overview. - -Below is a sample encryption of the plaintext "IAMHURTVERYBADLYHELP" using a scytale cipher with circumference 5 to generate the ciphertext "IRYYATBHMVAEHEDLURLP" - -We write the message diagonally down (around) the scytale, like so: - -``` -I . . . . R . . . . Y . . . . Y . . . . -. A . . . . T . . . . B . . . . H . . . -. . M . . . . V . . . . A . . . . E . . -. . . H . . . . E . . . . D . . . . L . -. . . . U . . . . R . . . . L . . . . P -``` - -The ciphertext is then obtained by reading from left to right, top to bottom. In this example, the ciphertext is - -``` -IRYYATBHMVAEHEDLURLP -``` - -Implement the functions: - -```Python -encrypt_scytale(plaintext, circumference) -decrypt_scytale(ciphertext, circumference) -``` - -What should you do when the length of the message is not a perfect multiple of the circumference? - -Consider using list comprehensions and the slice syntax to simplify your implementation. - -Want more of a challenge (🌶 🌶 🌶)? Try to decrypt an arbitrary ciphertext without knowing the circumference of the scytale. - - -### Railfence Cipher -*Difficulty: 🌶 🌶 🌶* - -Below is a sample encryption of the plaintext "WEAREDISCOVEREDFLEEATONCE" using a railfence with 3 rails to generate the ciphertext "WECRLTEERDSOEEFEAOCAIVDEN" - -We write the message diagonally - -``` -W . . . E . . . C . . . R . . . L . . . T . . . E -. E . R . D . S . O . E . E . F . E . A . O . C . -. . A . . . I . . . V . . . D . . . E . . . N . . -``` - -The ciphertext is obtained by reading the rails from left to right, top to bottom. - -``` -WECRLTEERDSOEEFEAOCAIVDEN -``` - -Implement the functions: - -```Python -encrypt_railfence(plaintext, num_rails) -decrypt_railfence(ciphertext, num_rails) -``` - -How will you handle the cases where the last ascending (or descending) segment doesn't reach a corner? - -Consider using list comprehensions and slice syntax (especially assigning into slices) to simplify your implementation. - -Want more of a challenge (🌶 🌶 🌶 🌶)? Try to decrypt an arbitrary ciphertext without knowing the number of rails used. - -### Intelligent Codebreaker -*Difficulty: 🌶 🌶 🌶* - -Suppose that you have access to some ciphertext that you know has been encrypted using a Vigenere cipher. Furthermore, suppose that you know that the corresponding plaintext has been written using only words in `/usr/share/dict/words`, whitespace, and punctuation, although you don't know the exact message. Finally, suppose that you know that someone has encrypted a message using a Vigenere cipher with a key drawn from a preset list of words, (again, let's suppose from `/usr/share/dict/words`). Can you still decrypt the ciphertext? - -For many of the incorrect keys, the resulting plaintext will be gibberish, but there will also be incorrect keys for which the resulting plaintext sounds English-y, but isn't quite right. Thus, the bulk of this problem lies in evaluating how close to a valid English sentence a given sequence of letters is. - -Your top-level function should be - -```Python -codebreak_vigenere(ciphertext, possible_keys) -``` - -Besides that, you are free to implement this program however you see fit. However, think about the Python style guidelines before continuing. - -You can test your method on the text inside of `not_a_secret_message.txt`. - -For more of a challenge (🌶 🌶 🌶 🌶), broaden your definition of English-y to allow finding plaintexts in which not all words come from `/usr/share/dict/words` (a message we're interested in decrypting, for example, might contain a person's name), or perhaps where the not all possible keys come from some known list. What other signals in the text can you look for? When is a decrypted message English-y enough? - -You can also try to break Vigenere encryptions by combining the above tactic with a frequency attack for a given key length. - -### Error Handling -*Difficulty: 🌶* - -Currently, our library functions (`encrypt_*` and `decrypt_*`) maks a lot of strong assumptions about the input - see the Notes section in each part. Can you add code to handle cases where these assumptions are violated? Specifically, handle the cases where inputs contain non-alphabetic characters, possibly-lowercased. For more of a challenge, also try to handle unicode strings. - -### Encrypt Non-Text Files -*Difficulty: 🌶 🌶* - -So far, our ciphers have been applied solely to text-based messages full of ascii letters from the alphabet. However, it is possible to extend these encryption methods to work on arbitrary binary data, such as images, audio files, and more. For this extension, choose at least one of the encryption techniques and make it work for arbitrary binary files. You will need to use the binary flag when reading from files. You may want to read even more about the `bytes` type. - -### Cracking Merkle-Hellman -*Difficulty: 🌶 🌶 🌶 🌶 🌶* - -There is a polynomial-time algorithm for cracking the Merkle-Hellman Knapsack Cryptosystem. Implement it. - -The algorithm's details are described in [Shamir's 1984 paper](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.123.5840&rep=rep1&type=pdf). - -What's perhaps more suprising is the fact that subset-sum is NP-hard, but there is a deterministic polynomial time algorithm to break the Merkle-Hellman Knapsack Cryptosystem, which is based on subset-sum. - -## Credit -Much of this handout was shamelessly copied from Sam Redmond's version of this handout, that was used in prior iterations of CS41. - -*Sam Redmond (@sredmond), Sherman Leung (@skleung), Python Tutorial, Learn Python the Hard Way, Google Python, MIT OCW 6.189, Project Euler, and Wikipedia's list of ciphers.* - -> With 🦄 by @psarin and @coopermj diff --git a/assign1/crypto-console.py b/assign1/crypto-console.py deleted file mode 100644 index 33777a5..0000000 --- a/assign1/crypto-console.py +++ /dev/null @@ -1,213 +0,0 @@ -#!/usr/bin/env python3 -"""Run a console menu to interact with cryptographic ciphers. - -All cryptographic functionality is provided by the `crypto` module - this script -simply provides a harness to interact with the ciphers. - -If you are a student, you shouldn't need to manually change this file, although -you are free to tinker with it as you wish. -""" -import random - -from crypto import (encrypt_caesar, decrypt_caesar, - encrypt_vigenere, decrypt_vigenere, - generate_private_key, create_public_key, - encrypt_mh, decrypt_mh) - -HEADER = r""" - ___________ __ __ ___ ______ __ __ ______ __ - / ____/ ___// // /< / / ____/______ ______ / /_____ ____ __________ _____ / /_ __ __ / ____/___ ____ _________ / /__ - / / \__ \/ // /_/ / / / / ___/ / / / __ \/ __/ __ \/ __ `/ ___/ __ `/ __ \/ __ \/ / / / / / / __ \/ __ \/ ___/ __ \/ / _ \ -/ /___ ___/ /__ __/ / / /___/ / / /_/ / /_/ / /_/ /_/ / /_/ / / / /_/ / /_/ / / / / /_/ / / /___/ /_/ / / / (__ ) /_/ / / __/ -\____//____/ /_/ /_/ \____/_/ \__, / .___/\__/\____/\__, /_/ \__,_/ .___/_/ /_/\__, / \____/\____/_/ /_/____/\____/_/\___/ - /____/_/ /____/ /_/ /____/ -""" - - -############################# -# GENERAL CONSOLE UTILITIES # -############################# - - -def get_cryptosystem(): - """Ask the user which cryptosystem to use. Always returns a letter in `"CVM"`.""" - print("* Cryptosystem *") - return _get_selection("(C)aesar, (V)igenere or (M)erkle-Hellman? ", "CVM") - - -def get_action(): - """Ask the user whether to encrypt or decrypt text. Always returns a letter in `"ED"`.""" - print("* Action *") - return _get_selection("(E)ncrypt or (D)ecrypt? ", "ED") - - -def get_filename(): - """Ask the user for a filename, reprompting for nonempty input. - - Doesn't check that the file exists. - """ - filename = input("Filename? ") - while not filename: - filename = input("Filename? ") - return filename - - -def get_input(binary=False): - """Prompt the user for input data, optionally read as bytes.""" - print("* Input *") - choice = _get_selection("(F)ile or (S)tring? ", "FS") - if choice == 'S': - text = input("Enter a string: ").strip().upper() - while not text: - text = input("Enter a string: ").strip().upper() - if binary: - return bytes(text, encoding='utf8') - return text - else: - filename = get_filename() - flags = 'r' - if binary: - flags += 'b' - with open(filename, flags) as infile: - return infile.read() - - -def set_output(output, binary=False): - """Write output to a user-specified location.""" - print("* Output *") - choice = _get_selection("(F)ile or (S)tring? ", "FS") - if choice == 'S': - print(output) - else: - filename = get_filename() - flags = 'w' - if binary: - flags += 'b' - with open(filename, flags) as outfile: - print("Writing data to {}...".format(filename)) - outfile.write(output) - - -def _get_selection(prompt, options): - choice = input(prompt).upper() - while not choice or choice[0] not in options: - choice = input("Please enter one of {}. {}".format('/'.join(options), prompt)).upper() - return choice[0] - - -def get_yes_or_no(prompt, reprompt=None): - """Ask the user whether they would like to continue. - - Responses that begin with a `Y` return True. (case-insensitively) - Responses that begin with a `N` return False. (case-insensitively) - All other responses (including '') cause a reprompt. - """ - if not reprompt: - reprompt = prompt - - choice = input("{} (Y/N) ".format(prompt)).upper() - while not choice or choice[0] not in ['Y', 'N']: - choice = input("Please enter either 'Y' or 'N'. {} (Y/N)? ".format(reprompt)).upper() - return choice[0] == 'Y' - - -def clean_caesar(text): - """Convert text to a form compatible with the preconditions imposed by Caesar cipher.""" - return text.upper() - - -def clean_vigenere(text): - """Convert text to a form compatible with the preconditions imposed by Vigenere cipher.""" - return ''.join(ch for ch in text.upper() if ch.isupper()) - - -def run_caesar(encrypting, data): - """Run the Caesar cipher cryptosystem.""" - data = clean_caesar(data) - - print("* Transform *") - print("{}crypting {} using Caesar cipher...".format('En' if encrypting else 'De', data)) - - return (encrypt_caesar if encrypting else decrypt_caesar)(data) - - -def run_vigenere(encrypting, data): - """Run the Vigenere cipher cryptosystem.""" - data = clean_vigenere(data) - - print("* Transform *") - keyword = clean_vigenere(input("Keyword? ")) - while not keyword: - keyword = clean_vigenere(input("Keyword? ")) - - print("{}crypting {} using Vigenere cipher and keyword {}...".format('En' if encrypting else 'De', data, keyword)) - - return (encrypt_vigenere if encrypting else decrypt_vigenere)(data, keyword) - - -def run_merkle_hellman(encrypting, data): - """Run the Merkle-Hellman knapsack cryptosystem.""" - action = get_action() - - print("* Seed *") - seed = input("Set Seed [enter for random]: ") - if not seed: - random.seed() - else: - random.seed(seed) - - print("* Building private key...") - - private_key = generate_private_key() - public_key = create_public_key(private_key) - - if encrypting: # Encrypt - print("* Transform *") - chunks = encrypt_mh(data, public_key) - return ' '.join(map(str, chunks)) - else: # Decrypt - chunks = [int(line.strip()) for line in data.split() if line.strip()] - print("* Transform *") - return decrypt_mh(chunks, private_key) - - -def run_suite(): - """Run a single iteration of the cryptography suite. - - Asks the user a type of cryptosystem to use, whether to encrypt or decrypt, - input text from a string or file, and where to show the output, dispatching - the actual work to a helper function. - """ - print('-' * 34) - system = get_cryptosystem() - action = get_action() - encrypting = action == 'E' - if system == 'M' and encrypting: - data = get_input(binary=True) - else: - data = get_input(binary=False) - - - # This isn't the cleanest way to implement functional control flow, but I - # thought it was too cool to not sneak in here! - commands = { - 'C': run_caesar, # Caesar Cipher - 'V': run_vigenere, # Vigenere Cipher - 'M': run_merkle_hellman # Merkle-Hellman Knapsack Cryptosystem - } - output = commands[system](encrypting, data) - set_output(output) - - -def main(): - """Run the main interactive console for Assignment 1: Cryptography.""" - print(HEADER) - print("Welcome to the Cryptography Suite!") - run_suite() - while get_yes_or_no("Again?"): - run_suite() - print("Goodbye!") - - -if __name__ == '__main__': - main() diff --git a/assign1/crypto.py b/assign1/crypto.py deleted file mode 100644 index c546ef1..0000000 --- a/assign1/crypto.py +++ /dev/null @@ -1,178 +0,0 @@ -"""Assignment 1: Cryptography for CS41 Winter 2020. - -Name: -SUNet: - -Replace this placeholder text with a description of this module. -""" -import utils - - -################# -# CAESAR CIPHER # -################# - -def encrypt_caesar(plaintext): - """Encrypt a plaintext using a Caesar cipher. - - Add more implementation details here. - - :param plaintext: The message to encrypt. - :type plaintext: str - - :returns: The encrypted ciphertext. - """ - # Your implementation here. - raise NotImplementedError('encrypt_caesar is not yet implemented!') - - -def decrypt_caesar(ciphertext): - """Decrypt a ciphertext using a Caesar cipher. - - Add more implementation details here. - - :param ciphertext: The message to decrypt. - :type ciphertext: str - - :returns: The decrypted plaintext. - """ - # Your implementation here. - raise NotImplementedError('decrypt_caesar is not yet implemented!') - - -################### -# VIGENERE CIPHER # -################### - -def encrypt_vigenere(plaintext, keyword): - """Encrypt plaintext using a Vigenere cipher with a keyword. - - Add more implementation details here. - - :param plaintext: The message to encrypt. - :type plaintext: str - :param keyword: The key of the Vigenere cipher. - :type keyword: str - - :returns: The encrypted ciphertext. - """ - # Your implementation here. - raise NotImplementedError('encrypt_vigenere is not yet implemented!') - - -def decrypt_vigenere(ciphertext, keyword): - """Decrypt ciphertext using a Vigenere cipher with a keyword. - - Add more implementation details here. - - :param ciphertext: The message to decrypt. - :type ciphertext: str - :param keyword: The key of the Vigenere cipher. - :type keyword: str - - :returns: The decrypted plaintext. - """ - # Your implementation here. - raise NotImplementedError('decrypt_vigenere is not yet implemented!') - - -######################################## -# MERKLE-HELLMAN KNAPSACK CRYPTOSYSTEM # -######################################## - -def generate_private_key(n=8): - """Generate a private key to use with the Merkle-Hellman Knapsack Cryptosystem. - - Following the instructions in the handout, construct the private key - components of the MH Cryptosystem. This consists of 3 tasks: - - 1. Build a superincreasing sequence `w` of length n - Note: You can double-check that a sequence is superincreasing by using: - `utils.is_superincreasing(seq)` - 2. Choose some integer `q` greater than the sum of all elements in `w` - 3. Discover an integer `r` between 2 and q that is coprime to `q` - Note: You can use `utils.coprime(r, q)` for this. - - You'll also need to use the random module's `randint` function, which you - will have to import. - - Somehow, you'll have to return all three of these values from this function! - Can we do that in Python?! - - :param n: Bitsize of message to send (defaults to 8) - :type n: int - - :returns: 3-tuple private key `(w, q, r)`, with `w` a n-tuple, and q and r ints. - """ - # Your implementation here. - raise NotImplementedError('generate_private_key is not yet implemented!') - - -def create_public_key(private_key): - """Create a public key corresponding to the given private key. - - To accomplish this, you only need to build and return `beta` as described in - the handout. - - beta = (b_1, b_2, ..., b_n) where b_i = r × w_i mod q - - Hint: this can be written in one or two lines using list comprehensions. - - :param private_key: The private key created by generate_private_key. - :type private_key: 3-tuple `(w, q, r)`, with `w` a n-tuple, and q and r ints. - - :returns: n-tuple public key - """ - # Your implementation here. - raise NotImplementedError('create_public_key is not yet implemented!') - - -def encrypt_mh(message, public_key): - """Encrypt an outgoing message using a public key. - - Following the outline of the handout, you will need to: - 1. Separate the message into chunks based on the size of the public key. - In our case, that's the fixed value n = 8, corresponding to a single - byte. In principle, we should work for any value of n, but we'll - assert that it's fine to operate byte-by-byte. - 2. For each byte, determine its 8 bits (the `a_i`s). You can use - `utils.byte_to_bits(byte)`. - 3. Encrypt the 8 message bits by computing - c = sum of a_i * b_i for i = 1 to n - 4. Return a list of the encrypted ciphertexts for each chunk of the message. - - Hint: Think about using `zip` and other tools we've discussed in class. - - :param message: The message to be encrypted. - :type message: bytes - :param public_key: The public key of the message's recipient. - :type public_key: n-tuple of ints - - :returns: Encrypted message bytes represented as a list of ints. - """ - # Your implementation here. - raise NotImplementedError('encrypt_mh is not yet implemented!') - - -def decrypt_mh(message, private_key): - """Decrypt an incoming message using a private key. - - Following the outline of the handout, you will need to: - 1. Extract w, q, and r from the private key. - 2. Compute s, the modular inverse of r mod q, using the Extended Euclidean - algorithm (implemented for you at `utils.modinv(r, q)`) - 3. For each byte-sized chunk, compute - c' = cs (mod q) - 4. Solve the superincreasing subset sum problem using c' and w to recover - the original plaintext byte. - 5. Reconstitute the decrypted bytes to form the original message. - - :param message: Encrypted message chunks. - :type message: list of ints - :param private_key: The private key of the recipient (you). - :type private_key: 3-tuple of w, q, and r - - :returns: bytearray or str of decrypted characters - """ - # Your implementation here. - raise NotImplementedError('decrypt_mh is not yet implemented!') diff --git a/assign1/design.txt b/assign1/design.txt deleted file mode 100644 index a5f8a2b..0000000 --- a/assign1/design.txt +++ /dev/null @@ -1,13 +0,0 @@ -Name: -SUNet: - -In 1-3 sentences per section, comment on your approach to each of the parts of the assignment. What was your high-level strategy? How did you translate that into code? Did you make use of any Pythonic practices? We want you to reflect on your coding style, and how you are maximally leveraging Python's utilities. - -# Caesar Cipher - - -# Vigenere Cipher - - -# Merkle-Hellman Knapsack Cryptosystem - diff --git a/assign1/not_a_secret_message.txt b/assign1/not_a_secret_message.txt deleted file mode 100644 index d46fca8..0000000 --- a/assign1/not_a_secret_message.txt +++ /dev/null @@ -1,4 +0,0 @@ -# Why hello! You've found a secret message! I guess filenames can be misleading sometimes. -# There's an inscription here stating that this text was encrypted with a Vigenere cipher using a common word (from /usr/share/dict/words) as a keyword. What could it say?! Surely gold and glory await your discovery. - -BRG ACL! ZCPPCSC NHQ Q CFV FI TTCR KUUG GQI'IR CADGGKVANBKBX GBVA CGJVAAUGBK! FI, LWW'FV CLBJCPCL CABGFVFNRL VC JRY JPCH KUCF "VQH JB MRKTSK" ZYFACUV VM? NB VVZF JBQPH, Z'Z DHAV OUQCAO C ZFG IS BGLK FI GPCH ZG'M RIUWVE ZBZ ACL GI QMEFPCN GPKG. ZG QBZMG SRNGMT WW V LRAVOKR LRAVOKR LRAVOKR LRAVOKR LRAVOKR QBZFG KUUG ITS KUY FIOS CRHTBJ OJ GBR SGM (RAX, DCKHV UIAMUHCL, C JIPHVQ NB ACM "IRJRIV", PLG NUM MSP UUF AGJVA FRBVSIF... NUMUOLEOF BQ HYR LRAEIV!). OOG EJOK NLR BJS FQXF GQI AHMG OWSJFYQ BJS BRS NVAKRL? QRTN, GZAWR GQI DNXR QV HYVM SIT, KYL XBV'V MFH GNSG O GECIIVS GBMG WP DZNTMI YWKU NUM USTEYG XJFRFY "OWOPRFNVK ROIEIG" IPR Z'YF TMV MFH U AQES 10 VKNEI DCEHM CWKBKF. \ No newline at end of file diff --git a/assign1/res/caesar-cipher.txt b/assign1/res/caesar-cipher.txt deleted file mode 100644 index 77ba61d..0000000 --- a/assign1/res/caesar-cipher.txt +++ /dev/null @@ -1 +0,0 @@ -SBWKRQ \ No newline at end of file diff --git a/assign1/res/caesar-plain.txt b/assign1/res/caesar-plain.txt deleted file mode 100644 index 38a33ed..0000000 --- a/assign1/res/caesar-plain.txt +++ /dev/null @@ -1 +0,0 @@ -PYTHON \ No newline at end of file diff --git a/assign1/res/mh-cipher.txt b/assign1/res/mh-cipher.txt deleted file mode 100644 index 19d0331..0000000 --- a/assign1/res/mh-cipher.txt +++ /dev/null @@ -1 +0,0 @@ -3504 4497 392 5338 2287 2299 6110 4052 7176 4272 1650 1870 4994 2287 3291 7176 6110 \ No newline at end of file diff --git a/assign1/res/mh-plain.txt b/assign1/res/mh-plain.txt deleted file mode 100644 index b67ce27..0000000 --- a/assign1/res/mh-plain.txt +++ /dev/null @@ -1 +0,0 @@ -<3 StanfordPython \ No newline at end of file diff --git a/assign1/res/vigenere-cipher.txt b/assign1/res/vigenere-cipher.txt deleted file mode 100644 index b04ec8d..0000000 --- a/assign1/res/vigenere-cipher.txt +++ /dev/null @@ -1 +0,0 @@ -LXFOPVEFRNHR \ No newline at end of file diff --git a/assign1/res/vigenere-plain.txt b/assign1/res/vigenere-plain.txt deleted file mode 100644 index 877099d..0000000 --- a/assign1/res/vigenere-plain.txt +++ /dev/null @@ -1 +0,0 @@ -Attack At Dawn! \ No newline at end of file diff --git a/assign1/tests/caesar-tests.txt b/assign1/tests/caesar-tests.txt deleted file mode 100644 index 0331bd0..0000000 --- a/assign1/tests/caesar-tests.txt +++ /dev/null @@ -1,19 +0,0 @@ - -A D -B E -I L -X A -Z C -AA DD -TH WK -CAT FDW -DOG GRJ -TOO WRR -DAMN GDPQ -DANIEL GDQLHO -PYTHON SBWKRQ -WHEEEEEE ZKHHHHHH -WITH SPACE ZLWK VSDFH -WITH TWO SPACES ZLWK WZR VSDFHV -NUM83R5 QXP83U5 -0DD !T$ 0GG !W$ \ No newline at end of file diff --git a/assign1/tests/vigenere-tests.txt b/assign1/tests/vigenere-tests.txt deleted file mode 100644 index 96dd137..0000000 --- a/assign1/tests/vigenere-tests.txt +++ /dev/null @@ -1,11 +0,0 @@ -FLEEATONCE A FLEEATONCE -IMHIT H PTOPA -ATTACKATDAWN LEMON LXFOPVEFRNHR -WEAREDISCOVERED LEMON HIMFROMEQBGIDSQ -WEAREDISCOVERED MELON IILFRPMDQBHICSQ -CANTBELIEVE ITSNOTBUTTER KTFGPXMCXOI -CART MAN OAEF -HYPE HYPE OWEI -SAMELENGTH PYTHONISTA HYFLZRVYMH -SHORTERKEY XYZZYZ PFNQRDOIDX -A ONEINPUT O \ No newline at end of file diff --git a/assign1/utils.py b/assign1/utils.py deleted file mode 100644 index 56834aa..0000000 --- a/assign1/utils.py +++ /dev/null @@ -1,133 +0,0 @@ -"""Mathematical utilities for CS41's Assignment 1: Cryptography.""" -import math - - -class Error(Exception): - """Base class for exceptions in this module.""" - - -class BinaryConversionError(Error): - """Custom exception for invalid binary conversions.""" - - -class NotCoprimeError(Error): - """Custom exception for arguments that are not coprime but need to be.""" - - -def is_superincreasing(seq): - """Return whether a given sequence is superincreasing. - - A sequence is superincreasing if each element is greater than the sum of - all elements before it. - - Usage:: - - is_superincreasing([1, 1, 1, 1, 1]) # => False - is_superincreasing([1, 3, 4, 9, 15, 90]) # => False - is_superincreasing([1, 2, 4, 8, 16]) # => True - - :param seq: The iterable to check. - :returns: Whether this sequence is superincreasing. - """ - total = 0 # Total so far - for n in seq: - if n <= total: - return False - total += n - return True - - -def modinv(a, b): - """Return the modular inverse of a mod b. - - The returned value s satisfies a * s == 1 (mod b). - - As a precondition, a should be less than b and a and b must be coprime. - Errors are raised if these conditions do not hold. - - Adapted from https://en.wikibooks.org/wiki/Algorithm_Implementation/ - Mathematics/Extended_Euclidean_algorithm#Python - - :param a: Value whose modular inverse to find. - :param b: The modulus. - - :raises: ValueError if a >= b. - :raises: NotCoprimeError if a and b are not coprime. - - :returns: The modular inverse of a mod b. - """ - if a >= b: - raise ValueError("First argument to modinv must be less than the second argument.") - if not coprime(a, b): - raise NotCoprimeError("Mathematically impossible to find modular inverse of non-coprime values.") - - # Actually find the modular inverse. - saved = b - x, y, u, v = 0, 1, 1, 0 - while a: - q, r = b // a, b % a - m, n = x - u*q, y - v*q - # Tuple packing and unpacking can be useful! - b, a, x, y, u, v = a, r, u, v, m, n - return x % saved - - -def coprime(a, b): - """Return whether a and b are coprime. - - Two numbers are coprime if and only if their greater common divisor is 1. - - Usage:: - - print(coprime(5, 8)) # => True (5 and 8 have no common divisors) - print(coprime(6, 9)) # => False (6 and 9 are both divisible by 3) - """ - return math.gcd(a, b) == 1 - - -def byte_to_bits(byte): - """Convert a byte to an tuple of 8 bits for use in Merkle-Hellman. - - The first element of the returned tuple is the most significant bit. - - Usage:: - byte_to_bits(65) # => [0, 1, 0, 0, 0, 0, 0, 1] - byte_to_bits(b'ABC'[0]) # => [0, 1, 0, 0, 0, 0, 0, 1] - byte_to_bits('A') # => raises TypeError - - :param byte: The byte to convert. - :type byte: int between 0 and 255, inclusive. - - :raises: BinaryConversionError if byte is not in [0, 255]. - :returns: An 8-tuple of bits representing this byte's value. - """ - if not 0 <= byte <= 255: - raise BinaryConversionError(byte) - - out = [] - for i in range(8): - out.append(byte & 1) - byte >>= 1 - return tuple(out[::-1]) - - -def bits_to_byte(bits): - """Convert a tuple of 8 bits into a byte for use in Merkle-Hellman. - - The first element of the returned tuple is assumed to be the most significant bit. - - :param bits: collection of 0s and 1s representing a bit string. - :type bits: tuple - - :raises: BinaryConversionError if the supplied tuple isn't all 0s and 1s. - :returns: A converted byte value for this bit tuple. - """ - if not all(bit in (0, 1) for bit in bits): - raise BinaryConversionError("Encountered non-bits in bit tuple.") - - byte = 0 - for bit in bits: - byte *= 2 - if bit: - byte += 1 - return byte diff --git a/assign2/README.md b/assign2/README.md deleted file mode 100644 index c3b537f..0000000 --- a/assign2/README.md +++ /dev/null @@ -1,49 +0,0 @@ -# Assignment 2: Quest for the 🦄 -**Due Midnight, Friday of Week 7** - -## Overview -As you likely recall, in dramatic fashion, the brand new course mascot was stolen during Monday's lecture! The kidnappers have hidden the unicorn at a location on-campus. In this assignment, you will undertake a quest to recover the unicorn. - -In this assignment, the first person (or team) to find the unicorn gets **free late night on the staff** and **a perfect score for this assignment**! - -* *Expected time: 6 hours* -* *Max time: 8 hours* - -Note: It's always a good idea to get started early! We want you to enjoy the beautiful Stanford weather, as a nice break from midterms, and have some fun solving small puzzles. - -A few notes before we begin! - -1. The unicorn is hidden **in a bush**. You'll likely only get a rough estimation of where the unicorn is, so you'll need to dig around a bit! If you think you're very close and have looked but haven't found the unicorn, you can call Parth. -2. TAKE PICTURES! Take lots of pictures throughout the assignment but, in particular, take pictures once you've found the unicorn / where the unicorn used to be :) -3. You can do this now or at the end, but give us a list of who is on your team by filling out [this form](https://forms.gle/iQrmkX1SSJPSvQDd6). - -There are multiple ways to find the unicorn, which are detailed below. - -## Paths to the Unicorn -There are several ways to obtain the location of the unicorn, described by the image below: - -

- The different paths to the unicorn. -

- -Here's a text-based description of the image above, with more information about each piece: - -One place to start is the `Pillow` (image) problem. This problem is more like a puzzle hunt than any of the other options, which means that it doesn't have a clear set of instructions to solve the puzzle. You'll have to use clues to figure out how to progress through this problem. The problem involves using the `Pillow` library to manipulate images (you also have to download those images and process them, so `requests` and `numpy` might be useful). *Note: This problem involves traveling around campus. If that poses any difficulties for you, please get in touch with us and we can help. Additionally, if viewing images poses any difficulties for you, let us know and we can help with that as well.* **The assignment spec for this problem is [img.md](img.md)**. - -Another option to start out is with the `requests` problem. For this problem, you'll be put in the middle of a maze and you'll have to implement a search algorithm in Python to navigate the maze. The maze is hosted on our website, [https://stanfordpython.com](https://stanfordpython.com). You're only ever given information about the location that you're currently standing at, so you'll have to use `requests` and CS 106B knowledge to explore the entire maze. Periodically, at various points in the maze, you'll obtain information about the location of the unicorn. **The assignment spec for this problem is [requests.md](requests.md)**. - -Both `Pillow` and `requests` "feed into" the `numpy` problem, which is the first data science/machine learning style problem of the quarter. To be more precise, once you finish either `Pillow` or `requests`, you should end up with a file called `unicorndata.pickle`. In the `numpy` problem, you'll analyze that data to find the latitude/longitude coordinates of the unicorn. Essentially, we have a bunch of data points with information about the unicorn's distance and we're trying to find a point that minimizes that distance. *Note: This is a mathematically non-trivial problem! It'll take some time to understand how it works. That said, there are detailed instructions on how to implement the assignment that should help you through it and try to explain the mathematics, even if you don't fully understand the math. Of course, we want you to have a productive learning experience, so we're always welcome to help out with this during office hours or on Piazza.* If you're interested in `Pillow` or `requests`, we'd recommend skimming through this assignment spec before you get too far into either of those, since we don't want anybody to get stuck on this portion. **The assignment spec for this problem is [triangulate.md](triangulate.md)**. - -An entirely separate path to the unicorn is through the Row of Puzzles. This is designed to be easier, but longer. If you choose this path, you won't be doing as many technically advanced things, but you'll still be using most of the libraries that are used in the other portions of the assignment, namely `requests` and `numpy`, which we've been focusing on in class. In this problem, you'll have to solve some Python puzzle, which will lead you to another one, and to another one, on and on until you get a clue which leads you to the unicorn's location. We won't tell you how many puzzles there are in the Row of Puzzles, but we've designed this to be the slowest path to the unicorn (we expect this will take 6 hours). **The assignment spec for this problem is [row-of-puzzles.md](row-of-puzzles.md)**. - -Finally, once you think you know the location of the unicorn, go and find it! The unicorn will have instructions about how to claim your winnings, if you're the first team to reach it. The unicorn is hidden **in a bush outside of a building**. *Note: Again, if this part of the assignment poses difficulties for you, let us know and we can help.* - -## Submitting -One person from your team should submit *all of the files you've created or modified* during the course of completing this assignment. First, give us a list of who's in your team and who'll be submitting the assignment on Paperless by filling out [this form](https://forms.gle/iQrmkX1SSJPSvQDd6). - -Next, have one person submit the assignment on Paperless. See our [Paperless Submission Instructions](https://github.com/stanfordpython/python-handouts/blob/master/submitting-assignments.md) for more. - -## Credit -@psarin wrote `requests`, `triangulate`, and `img`. @coopermj and @antoniof provided invaluable feedback on `requests` and `img`. @psarin and @coopermj wrote `row-of-puzzles`. @theoculhane gave incredible feedback on one of the `row-of-puzzles`. - -> With 🦄s (although hopefully you'll win your own) by @psarin and @coopermj diff --git a/assign2/img.md b/assign2/img.md deleted file mode 100644 index 2170415..0000000 --- a/assign2/img.md +++ /dev/null @@ -1,27 +0,0 @@ -# Path (b): Image Manipulation -This path is more like a puzzle hunt than the others. The clues are going to be a little more vague. - -First you need to download 150 images from our website. The images are hosted at the urls [https://stanfordpython.com/img/0.png](https://stanfordpython.com/img/0.png) through [https://stanfordpython.com/img/149.png](https://stanfordpython.com/img/0.png). For example, [https://stanfordpython.com/img/29.png](https://stanfordpython.com/img/29.png) hosts the thirtieth image: - -

- The thirtieth image in the image manipulation puzzle. -

- -*Hint*: if you're trying to manually download each of the images, rethink your strategy. - -The data you just downloaded contain almost all of the information needed to solve this problem. Each of the images, individually, will not help you, but the sum of their information will. I'll just outline **some** useful tips. - -* If you want to do **some** image manipulation, `Pillow` is a useful library. Here's the documentation: [https://pillow.readthedocs.io/](https://pillow.readthedocs.io/). - * Make sure you have `Pillow`, and not `PIL` installed. You install `Pillow` by running `pip install Pillow` at a command line. But, you import it in a script with `import PIL`. (*Note for the curious*: This is because `Pillow` is the fork of `PIL` that is still maintained, while `PIL` is no longer being maintaned). - * Your development environment should be set up like this automatically if you followed our instructions at the beginning of the quarter. -* **Some**times it's useful to interface between `Pillow` and `numpy` because images are really just arrays of pixels where each pixel has R, G, and B values. That makes them an `m x n x 3` array for an image of dimension `m x n`. - * `np.asarray(im)` converts an image to a numpy array. - * `Image.fromarray(a)` converts a numpy array to an image. - * Beware! `Pillow` images can only come from `numpy` arrays that have data type `uint8`. You can convert any `numpy` array to have that data type with `a.astype(np.uint8)`. -* There are a bunch of ways to convert characters to integers. One of the easiest ways is built into Python: `ord(ch)` returns an integer representing the Unicode code point of that character and `chr(i)` is the inverse. `chr(i)` returns the string representing a character whose Unicode code point is the integer `i`. - -## Submitting - -Put all of the code you used to solve this assignment into one file called `img.py`. It doesn't really have to be clean, since we expect you'll be doing most of your work in the interactive interpreter, but the code should be runnable. If you need to write different functions, each of which solves a piece of the assignment, please do that. - -*Note*: Your code will still be graded on Pythonic style practices, but we'll be more lenient on the parts of Pythonic style that don't apply to code that you're writing in the interactive interpreter. diff --git a/assign2/md_img/.ipynb_checkpoints/triangulation_plots-checkpoint.ipynb b/assign2/md_img/.ipynb_checkpoints/triangulation_plots-checkpoint.ipynb deleted file mode 100644 index 9823a55..0000000 --- a/assign2/md_img/.ipynb_checkpoints/triangulation_plots-checkpoint.ipynb +++ /dev/null @@ -1,176 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Parabola" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from matplotlib import cm\n", - "from mpl_toolkits.mplot3d import Axes3D\n", - "\n", - "fig = plt.figure(figsize=(10, 10), dpi= 80)\n", - "ax = fig.gca(projection='3d')\n", - "\n", - "# Make data.\n", - "X = np.arange(0, 10, .1)\n", - "Y = np.arange(0, 10, .1)\n", - "X, Y = np.meshgrid(X, Y)\n", - "Z = np.sqrt((X-5)**2 + (Y-5)**2)\n", - "\n", - "# Plot the surface.\n", - "surf = ax.plot_surface(X, Y, Z, cmap=cm.plasma,\n", - " linewidth=0, antialiased=False)\n", - "\n", - "# Turn off tick labels\n", - "ax.set_yticklabels([])\n", - "ax.set_xticklabels([])\n", - "\n", - "# Customize the z axis.\n", - "# ax.set_zlim(-1.01, 1.01)\n", - "# ax.zaxis.set_major_locator(LinearLocator(10))\n", - "# ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "new_fig, ax = plt.subplots(1)\n", - "ax.contour(X,Y,Z, 20, cmap=cm.plasma)\n", - "\n", - "ax.set_aspect('equal')\n", - "\n", - "# Turn off tick labels\n", - "ax.set_yticklabels([])\n", - "ax.set_xticklabels([])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Probability" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import scipy.stats as stats\n", - "\n", - "mu1 = 0\n", - "mu2 = -1\n", - "sigma = 1\n", - "\n", - "# pdfs\n", - "x = np.linspace(mu2 - 3*sigma, mu1 + 3*sigma, 150)\n", - "y1 = stats.norm.pdf(x, mu1, sigma)\n", - "y2 = stats.norm.pdf(x, mu2, sigma)\n", - "\n", - "fig, ax = plt.subplots(1)\n", - "\n", - "# configure axes\n", - "ax.set_yticklabels([])\n", - "ax.set_xticklabels([])\n", - "\n", - "# plot pdfs\n", - "ax.plot(x, y1)\n", - "ax.plot(x, y2)\n", - "\n", - "# plot vertical lines\n", - "# ax.plot([mu1,mu1], [0, stats.norm.pdf(mu1, mu2, sigma)])\n", - "# ax.plot([mu2,mu2], [0, stats.norm.pdf(mu2, mu1, sigma)])\n", - "# ax.hlines(y=stats.norm.pdf(mu1, mu2, sigma), xmin=mu2 - 3*sigma, xmax=mu1 + 3*sigma, linestyles='dashed')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.0" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/assign2/md_img/maze_vis.png b/assign2/md_img/maze_vis.png deleted file mode 100644 index 250001963568e6f4e945c1e0867e5f17704415c2..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 556983 zcmeFYXIK+m*ES3&VgX}Eqy#}g1VKT1iAuE~D!m2;M5KdsNCX5Fq+KG2l!%~oA|0dz zq)LlO???*}dI*q^%)Ar5?&rCW?>mm~@Av0rA0az4duDc7d#!bzYt8HX_p~?;pF7ON z#Kdt+Tm2yu6WbN&V}9@ebfhVpH;;*lUDsYs?fxw_HU9hVE>G+oZJC&~U%yLaGuJcX 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- "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Parabola" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from matplotlib import cm\n", - "from mpl_toolkits.mplot3d import Axes3D\n", - "\n", - "fig = plt.figure(figsize=(10, 10), dpi= 80)\n", - "ax = fig.gca(projection='3d')\n", - "\n", - "# Make data.\n", - "X = np.arange(0, 10, .1)\n", - "Y = np.arange(0, 10, .1)\n", - "X, Y = np.meshgrid(X, Y)\n", - "Z = np.sqrt((X-5)**2 + (Y-5)**2)\n", - "\n", - "# Plot the surface.\n", - "surf = ax.plot_surface(X, Y, Z, cmap=cm.plasma,\n", - " linewidth=0, antialiased=False)\n", - "\n", - "# Turn off tick labels\n", - "ax.set_yticklabels([])\n", - "ax.set_xticklabels([])\n", - "\n", - "# Customize the z axis.\n", - "# ax.set_zlim(-1.01, 1.01)\n", - "# ax.zaxis.set_major_locator(LinearLocator(10))\n", - "# ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "new_fig, ax = plt.subplots(1)\n", - "ax.contour(X,Y,Z, 20, cmap=cm.plasma)\n", - "\n", - "ax.set_aspect('equal')\n", - "\n", - "# Turn off tick labels\n", - "ax.set_yticklabels([])\n", - "ax.set_xticklabels([])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Probability" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import scipy.stats as stats\n", - "\n", - "mu1 = 0\n", - "mu2 = -1\n", - "sigma = 1\n", - "\n", - "# pdfs\n", - "x = np.linspace(mu2 - 3*sigma, mu1 + 3*sigma, 150)\n", - "y1 = stats.norm.pdf(x, mu1, sigma)\n", - "y2 = stats.norm.pdf(x, mu2, sigma)\n", - "\n", - "fig, ax = plt.subplots(1)\n", - "\n", - "# configure axes\n", - "ax.set_yticklabels([])\n", - "ax.set_xticklabels([])\n", - "\n", - "# plot pdfs\n", - "ax.plot(x, y1)\n", - "ax.plot(x, y2)\n", - "\n", - "# plot vertical lines\n", - "ax.plot([mu2,mu2], [0, stats.norm.pdf(mu2, mu1, sigma)])\n", - "ax.plot([mu1,mu1], [0, stats.norm.pdf(mu1, mu2, sigma)])\n", - "ax.hlines(y=stats.norm.pdf(mu1, mu2, sigma), xmin=mu2 - 3*sigma, xmax=mu1 + 3*sigma, linestyles='dashed')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.0" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/assign2/md_img/unicorn_paths.png b/assign2/md_img/unicorn_paths.png deleted file mode 100644 index 43c0f10ae6ad5965aa3f9eb5caf7a7ecb9e7370a..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 150400 zcmeFZWmuH!+dfJOhzN=x9TK8+cS?76sg$%1&5$A>h=O#30)It}1sEhYSY=1?8rKytF0?3KkOz3fe9< zCio->N2>w_1y|liN=jWpN{U7u;$&rGZ;65;9~v8vrLUz&?%zk5NM9s@VezU-`ZfmI zH|!@ew;~_DR+LA(P8a+t<40}`lYY(XmxkX9UdybZWUEePVQ-pHz_e{&%spBZCsnt* 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452c6d5..0000000 --- a/assign2/requests.md +++ /dev/null @@ -1,96 +0,0 @@ -# Path (a): Requests / Graph Algorithms -For this option, you'll navigate a digital, online maze using Python. - -## Starter Files - -**Download the starter code (in a .zip file) [here](https://stanfordpython.com/res/starter-code/requests_startercode.zip)**. - -We've provided the following starter files: - -1. `exploremaze.py` is the primary file you'll modify for this phase, which will end by giving you some data you can use to determine the location of the unicorn. -2. `visualization.py` is a debugging helper that allows you to visualize the code in `exploremaze.py`. We *strongly* suggest you use this code (though it's not required). - - After you've implemented `exploremaze` (and during implementation), you should be able to use `visualization.py` to perform all the tasks in `exploremaze.py`. A screenshot: - -

- - - After the program finishes executing, `visualization` will ask you if you want to save the data it collected, and will call your `save_data` function if you say yes. - -3. `utils.py` contains some helpful utility functions that allow you to navigate the maze more easily. - -## Navigating the Maze - -To finish Phase 1, you'll have to navigate a digital, online maze that's hosted at [https://stanfordpython.com/maze/](https://stanfordpython.com/maze/). Unlike most mazes, you're not trying to get *out* of this maze. You're just trying to visit every point of the maze. - -You start in the center of the 40 x 40 maze, and you can get information about the starting point by visiting [https://stanfordpython.com/maze/start.json](https://stanfordpython.com/maze/start.json). If you go to that URL, the result will be the following JSON file: - -```json -{ - "neighbors": { - "east": "fK2hTLljXcz4wuQlrOe5WUJHijQtPsFY1RTep3NNRr0oZ1kW1oZiofuoIUBJ.json", - "west": "HhJgmdQkmaZAicYBCta0kImH5a9nb6QrCqHWwTgrKBBXAKX2RDV8ReyDnYLW.json" - } -} -``` - -This means that from the start position, you can travel east or west. To "travel" east (or more precisely, to get information about the position that is one step to the east of the start position), you visit the JSON file referenced by the object. So, if you go to [https://stanfordpython.com/maze/fK2hTLljXcz4wuQlrOe5WUJHijQtPsFY1RTep3NNRr0oZ1kW1oZiofuoIUBJ.json](https://stanfordpython.com/maze/fK2hTLljXcz4wuQlrOe5WUJHijQtPsFY1RTep3NNRr0oZ1kW1oZiofuoIUBJ.json), the result will be: - -```json -{ - "neighbors": { - "north": "d1zFGddmZNWaD2lHWxH4asGY8OFfyGEvRcfVmf87QINCkFkV7oxasSUwjYSc.json", - "west": "start.json" - } -} -``` - -Note that the `"west"` key points back to `start.json` (moving east and then west will end up in the same place). Periodically, you'll hear the *cry of the unicorn*. At cells where you hear the unicorn cry, you'll get some additional information in the JSON file. It'll look something like: - -```python -{ - "unicorn_cry": { - "latitude": 37.420841, - "longitude": -122.158036, - "distance": 0.0172374 - }, - "neighbors": { - ... - } -} -``` - -Notice that at these points, the return object has a `"unicorn_cry"` parameter. This parameter tells you about the latitude and longitude *of the point you're currently standing at* and it also tells you your distance away from the unicorn. The distance isn't precise: you can't hear the unicorn very well so it might be a little inaccurate. - -During this part of the assignment, you'll **gather all of the unicorn data from the maze**. - -### Gathering the Maze Data - -You should write code to explore the digital maze using the `requests` library. You should do this in `exploremaze.py`, one of the files you'll submit. There are a few functions in this file: - -1. `get_url_data(x, y, url)` should query the url, parse the JSON data at that point, and return a dict that represents the object. **You can do this in one line!** -2. `search_maze()` should use `get_url_data` to search through the entire maze and return a list of the data points where you hear the unicorn cry (that is, a list of dicts). -3. `save_data(data, filename)` should save `data` into `filename` using the `pickle` library. -4. `main()` is written for you. It first calls `search_maze()` and then saves the data into a file called `unicorndata.pickle` (and overwrites that file if it already exists). - -Some things to note: - -- Once you've implemented `get_url_data` and `search_maze`, you can run `$ python3 visualization.py` in a terminal, which will open a visual maze and show how your code explores it. - - *Related*: You might be wondering why `get_url_data` accepts `x` and `y` as parameters. That's purely for visualization purposes. You can take a look, but `visualization.py` overwrites `get_url_data` and uses the `x` and `y` parameters to visualize the data that your function will return. -- The maze is zero-indexed and measures 40 cells by 40 cells. You start at position (20, 20). Moving "east" is the same as moving right (i.e., incrementing `x` by one) and similarly for south, west, and north... You can call `utils.direction_conversion(direction, x, y)` to return the result of moving in `direction` from the point `(x,y)`. -- You can use whatever algorithm you'd like to use to search through the maze, as long as it visits every single cell in the maze. - - If you're not sure how to do explore this maze, it might be helpful to read about [depth-first search](https://en.wikipedia.org/wiki/Depth-first_search). You can implement the depth-first search algorithm using a stack (both of which you should have learned about in CS 106B; those notes might help)! In Python, [you can use a list as a stack](https://docs.python.org/3.8/tutorial/datastructures.html#using-lists-as-stacks). - - Feel free to come to office hours or email us if you're struggling with this, conceptually! This class is about Python, so we don't want to test you *too much* on non-Python related topics. -- `search_maze` should return a list of dicts. We're only interested in the cells where you hear a unicorn cry, so you should only add a dict to the list when that happens and you only need to retain the unicorn location data. The object you return should look something like: - -```python -[ - { - "latitude": 37.420841, - "longitude": -122.158036, - "distance": 0.0172374 - }, - ... -] -``` - -- The whole process took about 4 minutes to fully run, on my computer (with a WiFi speed that's much less than the speed at Stanford, to be fair) -- Using `pickle` ([read about it here!](https://docs.python.org/3/library/pickle.html)), you should be able to implement `save_data` in two lines. diff --git a/assign2/row-of-puzzles.md b/assign2/row-of-puzzles.md deleted file mode 100644 index e61b4c7..0000000 --- a/assign2/row-of-puzzles.md +++ /dev/null @@ -1,30 +0,0 @@ -# Path (c): Row of Puzzles! - -This path consists of an unknown row of clues which lead you to the unicorn. To keep things exciting, we aren't going to tell you how many steps there are along the Row of Clues - this path is of unknown length! - -To traverse between clues, you will navigate using a series of JSON files hosted on the course website. To start your quest, navigate to `https://www.stanfordpython.com/row-of-puzzles/start.json`. You should be greeted with a JSON file of the following form: - -``` -{"next": "at7HKK0hP2isUxHYrCezHKoqKV6S9b.json"} -``` -The next JSON in your path will then be located at `https://stanfordpython.com/row-of-puzzles/at7HKK0hP2isUxHYrCezHKoqKV6S9b.json`. Eventually, as you progress in this manner, you will be directed to an HTML file which will contain the first puzzle in the row of puzzles for you to solve. - -(Hint - you can try to traverse these links manually, but the puzzles are separated by a lot of JSON files! There is a prime opportunity for you to use the `requests` library to write some code to navigate between puzzles.) - -As you solve each puzzle, you will be given the link to a JSON file. This file is the starting JSON file on the path to the subsequent clue. You can traverse to each subsequent clue using the method we outlined above. - -For example, the path from `start.json` to the first puzzle clue may look like this: - -``` -start.json --> 1.json --> 2.json --> puzzle1_clue.html -``` - -Then, once you solve the first puzzle, the solution will be a JSON filename. Assume for the moment that the solution is `yay.json` (even though that is not the solution to the first puzzle). Then, the path of files to the second puzzle starts at `https://www.stanfordpython.com/row-of-puzzles/yay.json` and may look like this: - -``` -yay.json --> 3.json --> 4.json --> puzzle2_clue.html -``` - -And the process would repeat. - -On with the quest! Remember to commence at `https://www.stanfordpython.com/row-of-puzzles/start.json`. We wish you the best in your quest! 🦄 diff --git a/assign2/triangulate.md b/assign2/triangulate.md deleted file mode 100644 index 627c145..0000000 --- a/assign2/triangulate.md +++ /dev/null @@ -1,221 +0,0 @@ -# Triangulating The Location of the Unicorn -In this portion of the assignment, we'll compute the latitude/longitude location of the unicorn. - -## Starter Files -**Download the starter code (in a .zip file) [here](https://stanfordpython.com/res/starter-code/triangulate_startercode.zip)**. - -1. `triangulate.py` is the main file that you'll be working with. In it, we'll do the math to extrapolate the unicorn's location. - - The `main` function is provided for you. It first calls `load_data('unicorndata.pickle')`, and then calls `clean_data(data)` on the return value from `load_data`. Then, it processes that data by calling `process_data` and prints out the return value (the latitude/longitude location of the unicorn). - -## Triangulation - -You should now have a bunch of noisy data about the unicorn's location in the form of a list of dicts: - -```python -[ - { - "latitude": ..., - "longitude": ..., - "distance": ... - }, - ... -] -``` - -Note by the way, that the *distance* is distance in *latitude/longitude* units. You don't need to know this, but: we're treating latitude and longitude as though they are coordinates for points in 2D space, and then we're computing the distance between two points in the normal way for 2D space. In reality, latitude and longitude describe a *curved space* (the surface of the Earth), so this way of computing distance is not really accurate. It's fine as long as we're on Stanford's campus, which is small compared to the entire globe, and so effectively behaves like 2D space. You can also notice this effect by the fact that, even though the Earth is curved, if you zoom into any point on the Earth's surface, it appears flat. - -The list of dicts should be pickled (see the [documentation](https://docs.python.org/3/library/pickle.html)) and stored in a file called `unicorndata.pickle` (this filename will be used in subsequent steps). - -### `load_data(filename)` -First, we need to load the data into the current namespace. To do this, we'll write `load_data(filename)`. - -Using `pickle`, fill out the `load_data` function so that it opens the file referenced by `filename` and unpickles the data inside the file, and returns the information. If you run `$ python3 triangulate.py`, you should see something like: - -``` -(cs41-env)$ python3 triangulate.py -Press Enter to load the unicorn data... -Zeroeth data point: {'latitude': 37.421245948717946, 'longitude': -122.15347566666667, 'distance': 0.013740998028983013} - -Press Enter to continue and clean the data... -Warning: no data cleaned. Is clean_data implemented? - -Press Enter to continue and process the data... -The unicorn is at None, None. -``` - -### `clean_data(unicorn_data)` -Most of this assignment will be done in `numpy`, so we need to extract the data into a `numpy`-friendly format. *Note:* we've imported `numpy` as `np` in `triangulate.py`. - -`clean_data` should reformat the list of dicts into two numpy arrays, `X` and `y`. `X` should be an `633 x 2` size array where each row corresponds to one data point and is of the form `[latitude, longitude]`. `y` should be an array of size `633` that is a list of distances. `X[i]` corresponds to `y[i]` (i.e., `y[i]` is the noisy distance that we observed from the point `X[i]`). - -As a sanity check, here should be some (approximate) properties of your resulting arrays: - -```python -np.sum(X, axis=0) # => array([ 23693.1151959 , -77331.96931533]) -np.sum(y) # => 8.131987200337589 -``` - -You can check those by running the file. At this point, your output should look something like: - -``` -(cs41-env)$ python triangulate.py -Press Enter to load the unicorn data... -Zeroeth data point: {'latitude': 37.421245948717946, 'longitude': -122.15347566666667, 'distance': 0.013740998028983013} - -Press Enter to continue and clean the data... -Row 0: [ 37.42124595 -122.15347567], with noisy distance: 0.013740998028983013 -np.sum(X, axis=0) # => [ 23693.1151959 -77331.96931533] -np.sum(y) # => 8.131987200337589 - -Press Enter to continue and process the data... -The unicorn is at None, None. -``` - -### `process_data(X, y)` -There are two different ways we'll explain about how to process `X` and `y` to produce the latitude and longitude values we're looking for. You only need to implement one of these! - -1. **The paraboloid method** is a more common approach to these problems in mathematics. The mathematics is a little bit simpler. This is the **default method**. -2. **The probability method** is a more common approach to these problems in computer science, especially in the AI courses. The mathematics is a much more tricky than the other method. This technique involves a knowledge of probability distributions. - -If you'd prefer to use the probability method (or your own method), you should change the two line in `main` that reads: - -```python -process_data = process_paraboloid_fit # change this to, e.g., process_prob_maximize -``` - -Once again, you **only need to write one function** to process the data. It can be either of the two methods we'll explain here, or your own. If you write your own, you'll need to attach another file to your submission explaining your algorithm (see the section on Submitting, at the bottom of this file). - -#### `process_paraboloid_fit(X, y)` -Let's begin by discussing the mathematics behind this method. You can skip ahead to the "features matrix" section to implement it if you'd like. Imagine the function `f(x,y) = distance between (x,y) and the unicorn's location`. If we were to plot this function in 3D space as `(x, y, f(x,y))`, it would look like this: - -

3D paraboloid Graph

- -The minimum point of the paraboloid would be the point where the unicorn is hidden. Additionally, the contour plot (horizontal slices) of the above plot is a series of concentric *circles*: - -

paraboloid Contour Plot

- -Now consider our data, in the form `(lat, lng, noisy_dist)`. If we were to plot that, it should look very much like that paraboloid. It won't *exactly* be a paraboloid, because the distance is noisy, so instead, we'll try to find the paraboloid that best approximates our data. This technique is called *fitting* a paraboloid to our data. - -Once we do that, the minimum point of our paraboloid should be the location of our unicorn. - -To fit a paraboloid to our data, we need to know the mathematical formula for a paraboloid. In this formula, `x, y, z` are the axis variables (it's a plot in `x-y-z` space) and the other variables are constants. In particular, `x_0, y_0` is the minimum point of the parabola, and `a, b` affect the shape of the parabola. - -

General Paraboloid Equation

- -This is the *general* formula for a paraboloid, but since our paraboloid has circular cross-sections, that means that `a = b`. So, we can rewrite the formula as: - -

Simplified Paraboloid Equation

- -And, if we let `alpha = 1/a^2`, we can just write: - -

Simplified Paraboloid Equation

- -Since `x, y, z` are parameters used for plotting, this paraboloid is determined uniquely by three variables: `alpha, x_0, y_0`. We need to find those variables based on the observed data (`X` and `y`), and then the unicorn will be at `(x_0, y_0)`, which is the minimum point of the paraboloid (if you don't see why, think about it for a minute!). - -If we expand the formula for `z`, we get the following: - -

Features-Revealing Paraboloid Equation

- -Here, we've written the equation as a sum, where each term is of the form `(fitting variables) * (plotting parameters)`. For example, in the term `(-2 * alpha * x_0) * x`, the variables `alpha, x_0`, which appear in the left side of the product, are the fitting variables, and `x` is a plotting variable. - -Another way to look at that equation, using the machine learning language, is that the terms `x^2 + y^2, x, y, 1` are the *features* and `alpha, -2*alpha*x_0, -2*alpha*y_0, alpha*x_0^2 + alpha*y_0^2` are the *weights*: - -

Features-Revealing Paraboloid Equation, Weights

- -We need to find the correct values for the weights so that the resulting function (which can be expressed as the dot product between the features vector and the weights vector) approximates the given data as best as possible. The technique we'll use for this is called [least-squares regression](https://en.wikipedia.org/wiki/Least_squares) (click on the link for extra information, but you don't need any of it). - -To implement it, you need to first make a "features" matrix, where you convert `X` into a new matrix that is `633 x 4`, by mapping a row in `X`, which is of the form `[lat, lng]` into a row in the features matrix of the form `[(lat**2 + lng**2), lat, lng, 1]`. - -Then, we need to extract the correct weights corresponding to the features. `numpy` has a built in function to do this, which you can read about [here](https://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.lstsq.html). The code to run it is simply: - -```python -w_0, w_1, w_2, w_3 = np.linalg.lstsq(features, y, rcond=None)[0] -``` - -If you formatted the features matrix as above, we'll now have the following relationships between the weights and the earlier variables: - -```python -w_0 == alpha -w_1 == -2 * alpha * x_0 -w_2 == -2 * alpha * y_0 -w_3 == alpha * (x_0 ** 2) + alpha * (y_0 ** 2) -``` - -Thus, we can algebraically compute the value of `x_0` as: - -```python -x_0 = (w_1 / w_0) * (-1/2) -``` - -Compute `y_0` yourself and return the pair `x_0, y_0`. - -#### `process_prob_maximize(X, y)` -Another way to find the location of the unicorn is using the probability maximization technique. To use this technique, we write down a function `g(x, y)` that represents the *probability that the unicorn is at* `(x,y)`. Then, we use standard ML techniques (or in our case, third-party libraries) to find the coordinates `(x_0, y_0)` that maximize that probability. - -The fundamental idea behind this function is that, if the unicorn is at `(U_lat, U_lng)`, then: - -

Independent Probability Values

- -where: - -

Individual Probability Value

- -In English, the probability that `(x, y)` is the location of the unicorn is equal to the product of the probabilities, for each `i`, that the `i`th point and its `noisy_dist` could have been generated if the unicorn was at `(x, y)`. - -For example, let's look at a situation where this probability is small. If the *actual* distance between `(x, y)` and `(lat, lng)` is small, but the `noisy_dist` that was in our data set is very large, then we can be fairly confident that `(x, y)` is not the location of the unicorn, because it isn't consistent with our data. We take the product of all such probabilities to account for all points in our data. (*Note*: we take a *product* because the probability events for each of the `P_i` are independent). - -Now, our problem reduces to finding an expression for `P_i`. This is where we have to make some assumptions about how the noise was generated. Assume that the noisy distance was generated from a normal distribution, centered at the actual distance, with variance `0.01` (this assumption is reasonable, and data scientists often make very similar assumptions—talk to Parth if you're interested about why!). - -Consider two normal distributions, then. The first normal distribution was used to *generate* the noisy data, so it's centered at the actual distance with variance `0.01`, and the second normal distribution has the *same variance*, but it's centered at the *value of the noisy data that was generated*. They might look something like this, with the first in blue and the second, to the left, in orange: - -

Two Normals

- -The value of `P_i`, then, is the value of the blue distribution at the max point of the orange distribution. (*Note*: once again, this is concealing some more complicated math. If you're interested, talk to Parth or take CS 109!). Let's draw that value on the graph: - -

Two Normals, Left Line

- -Here's the cool part. That probability is *equal* to the value of the orange distribution at the max point of the *blue* distribution: - -

Two Normals, Both Lines

- -This lets us write out, explicitly, the value of `P_i`: - -

Probability Distribution Simplification

- -where `phi(x, mu, V)` is the value of the normal distribution centered at `mu`, with variance `V`, sampled at `x`. In Python, we can use the `scipy` library to get the value of the normal distribution: - -```python -dist = numpy.linalg.norm(X[i] - pt) -P_i = scipy.stats.norm.pdf(y[i], dist, 0.01) -``` - -Now, we're mostly done, with one caveat: multiplying all of the `P_i`s together is not going to work because the values will be too small, so they won't be accurate enough on a computer. Instead, we can use the `np.log` function (natural logarithm) to change the calculation into addition. Recall the earlier formula: - -

Independent Probability Values

- -If we take the negative natural log of both sides, since the log function is monotone increasing, the problem changes from *maximizing* the above function to *minimizing* the following function: - -

Negative Log Probability

- -Note that taking the negative logarithm to simplify computation is a standard technique in optimization theory. In code: - -```python -dist = numpy.linalg.norm(X[i] - pt) # pt == np.array([x, y]) -P_i = scipy.stats.norm.pdf(y[i], dist, 0.01) --np.log(P_i) # sum for every i -``` - -So, altogether, you should write a function `prob(pt)` that takes in a `numpy` array of the form `[x,y]` and computes a sum, for each row in `X`, of each of the values of `-np.log(P_i)`. Define this function *inside of `process_prob_maximize`* so that it also has access to `X` and `y`. - -Now, we have to find a point `(x_0, y_0)` that minimizes `prob`. Luckily, there's a `scipy` tool for that. In `process_prob_maximize(X, y)`, after you define `prob`, you can just call - -```python -min_pt = scipy.optimize.minimize(prob, x0=(37.430334,-122.169814)) -``` - -The value `x0` is the position to start testing at. I chose a point that's roughly in the center of Stanford, but you're free to choose another one! `scipy.optimize.minimize` returns a large object, but the minimum point it's found is the `x` attribute, i.e., `min_pt.x`. You should inspect the full output—it has information about whether the minimization succeeded; but even if it didn't, you should still return `min_pt.x`. (*Note*: when `scipy` says the minimization did not succeed, it just means that it couldn't find a minimum point within a reasonable amount of time. It's still probably found a point that's pretty close to the location of the unicorn.) - -## Submitting -The only file you need to submit is `triangulate.py`. Not all functions need to be filled out: you only need to fill out functions that you used. Feel free to add additional helper functions in this file. - -Additionally, if you developed your own technique to find the location of the unicorn, submit a file called `triangulation_desc` which contains a paragraph or two describing your algorithm (you can submit a text file or a word document or a PDF—whichever is easiest for you). \ No newline at end of file diff --git a/assign2/ubuntu-tkinter.md b/assign2/ubuntu-tkinter.md deleted file mode 100644 index 0a15185..0000000 --- a/assign2/ubuntu-tkinter.md +++ /dev/null @@ -1,35 +0,0 @@ -# Tkinter Display Issue -Some users have been running into a display issue on Windows installations running Python through Ubuntu bash. The issue happens because the software in the starter code for `requests` uses Python visualization features but, by default, Ubuntu bash is not configured to recognize that it's connected to a display that supports those features. - -In this guide, we'll install software that allows Ubuntu bash to communicate with the Windows operating system and use your computer's built-in display. - -## 1. Create a Virtual Display that Mirrors to the Actual Display -We first need to create a way to communicate between Ubuntu bash and the default Windows operating system about the display setup. To create this, install [Xming X Server for Windows](https://sourceforge.net/projects/xming/) and, during the installation, set the display value to 0. This tells the server to host its virtual display mirror on "port" 0. - -## 2. Tell Ubuntu Bash to Use the Virtual Display -Once that is set up, we need to tell Ubuntu bash to use the virtual display that we just configured. At a command line run: - -``` -$ export DISPLAY=:0 -``` - -You'll need to do this every time you open up a terminal prompt, because the export settings get re-set when the terminal closes. - -## 3. Configure Permissions on the Display -By default, Ubuntu bash will not allow programs to display things. To change that, we need to change the permissions on the display. Run the following lines of code: - -``` -$ sudo apt install x11-xserver-utils -$ xhost + -``` - -After the first command, there will be some installation prompts. After the second, you should see a message that says something like `access control disabled, clients can connect from any host`. - -## 4. Run `visualizaton.py` -Now, you should be able to execute: - -``` -$ python3 visualization.py -``` - -> With 🦄s by @psarin and @coopermj diff --git a/final-proj/Kali.png b/final-proj/Kali.png deleted file mode 100644 index 8d33f40c2ae64f993b34a3916a1f1956d3cd3cd9..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 945132 zcmd?Rg;!Kj7dSdI)X*WF1E_Q=DKW&*Al)TMcXy|BqtYqe9nu0K-5t_MNH-7E@B4o5 zx7Pa$-mG0H{u@Y#cE@><)3!r~2g8>LYL;&0q2mti>MGQdrQw9K}fF%DdD*|c%2NPlj zfd2>cH1yL);_(9h_ZKb`_z(KAEfe$~XgHBfxc`<1p1Ns|Q9X@>Y%8JR005vqd%A#t zm}00`YoS=~`xR)*Km#)|pfdm95IW>+iQr(OU)SKh~>m678+h^v*QwF9p!Kh+-y z-pBG&GYb{u4~U}$Kb5+yJVeCC-U!0M{F<4SN&p1{f$-VCH|A9o75mryvBpnj>gZ_8 z%fjN~;==6mirL2AgoTZVhlhogorRs9=@Ej-!Ohz7ohy^I1NGlQ{xgoKk%OVVnXRLl zjWy(H+;;{xPLBLkR8JHA_w#q1j%LRHo5|YY-(x*KAj{Jo7B*&9mj90Z*p=_8l~-NS z$ic?a>1licE_S{@p#QJN|4sC_gS@GYqs=24?9B`%tsRZ*ZS5aX@~8WMdjEez{NH2! zZ*CQ9Ge?2{4Df$7|KGhd{&)X>Oa4C_|8?MFc|zF#fxy4i`P2GH9sv|Smj9Ak0LA;; 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- A person dressed in a unicorn head, proposing to another person wearing a unicorn onesie. -

- -As discussed in class, the purpose of the project proposal is for the course staff to ensure that the project is well-scoped and incorporates Python in some meaningful way. We can also suggest useful packages for your project. The more detailed your proposal, the more we can assist you by pointing you away from common pitfalls and towards feasible solutions. - -Submit a project proposal using [this form](https://forms.gle/nYR7wvhEa6K7m8A79). Or, if you prefer to edit more freely, you can use [`template.md`](template.md) as a starting template for your proposal. See [`sampleproposal.md`](sampleproposal.md) for an example of what we're looking for. Additionally, we've added some ideas to [`ideas.md`](ideas.md) if you're stuck. - -In order to submit the proposal, fill out our [Google Form](https://forms.gle/nYR7wvhEa6K7m8A79) with the appropriate content. When we review your proposals, we'll look at the most recently added proposal. - -*Note: you can use late days on the project proposal, but hopefully you will complete the proposal on time so that we can get feedback to you sooner.* - -## The Project - -*Due Dates:* - -* *Presentation: Monday, Week 10 (March 9th) at 3pm* -* *Code & Writeup: Wednesday, Week 10 (March 11th) at 11:59:59pm* - -Implement the project you have proposed, incorporating our feedback. You are free to begin working on the project before you hear from us. - -### Development Strategy and Hints - -Have a plan. We're making you submit a project proposal so that you think about potential challenges and your plan to overcome them. - -Start small and iterate quickly. Python, unlike many other languages, allows you to rapidly iterate. Consider developing your code in small steps using the interactive interpreter. - -Build incrementally and test frequently! This project will likely be the largest Python project you have written so far, so make sure each task works before moving on! - -Ask questions aggressively on Piazza. Without the structure of a usual assignment, it can be easy to get stuck for a long time on seemingly trivial tasks. I promise that even the most trivial-seeming tasks can be the most difficult! Hopefully, the course staff will be able to help you get unblocked! We may not know the details of every library and dataset you use, but we can certainly try to help. - -### Deliverables - -In addition to submitting your code (and everything that goes with it), you must include a `README.md` file as a meaningful writeup of your final project. - -This writeup should contain a technical overview of the project and the code therein. In effect, you're writing documentation for your project - if the first thing someone reads about your project is the README, what information does she need to know? We're asking you to also include a technical section in your README to describe the code design, the purpose of various modules, and any requirements (e.g. must run a certain version of Python, or must have a particular operating system, or must have a Postgres database running, or must have a Google account, or anything else). - -In addition, we're asking you to write short installation/execution instructions. After we download your code, what steps do we have to perform to get it up and running? For many projects, the answer will just be "run the main python script named `something.py`," but several others will have more complex configuration. If we can't set up your project, we have no way to confirm that your project works, so we hope that your installation instructions are clear, correct, replicable, and concise. - -Add a section to your README that flags what portions of the final project you are comfortable with the CS 41 staff publishing on the website. Think of this as a replacement for your in-person presentation. We'd like you to, at least, provide a screenshot to publish. At the same time, we understand if you decide that you don't want us to publish any of the project. - -Other general sections of a README usually include, but are not limited to: known bugs, contact information for the maintainer (that's you!), and credits/acknowledgements. - -There is no upper or lower limit to the length of the README. We've had successful README's in the past that are as short as a few hundred words, or some much longer, with the longest being around 2000 words. Regardless, the majority of the writeup should focus on the technical overview. You're free to write fewer or more words as you see fit, but remember that we are reading your README to understand what your project does. - -In addition, please record a video of your final project in action and include it in the final submission. We'll watch this video to get a sense for what your project does. It can be a fun way to immortalize the work you've done and show us a working demo! You should narrate what we're seeing in the video, describing the features and technical overview that would otherwise be in the README. - -Moreover, we want this video to be a conversational, informal way to show off what you've built! Don't worry if the production quality isn't good, or if your roommate walks in on you in the middle, or if you get some weird message notification. - -Mechanically, you can [record your screen on a Mac with QuickTime Player](https://support.apple.com/en-us/HT201066#record), or you can just record a video on your phone. - -### Starter Code - -For this assignment, we are not explicitly providing any code to you. - -You are free to use any builtin modules, publicly available code, or any code you find online, as long as you cite it appropriately. Google and StackOverflow are your friends! The chances are high that someone has built a library to help with your project, so make sure to ask us or search before reinventing the wheel! - -You may *not* use proprietary code, code which requires a paid license, anything which promotes illegal activity, anything which violates Stanford policies, etc. - -## Grading - -The project *proposal* grade will be assessed purely on completion. Did you do it? Great! If not - less great. - -Your final project grade will be assessed on both functionality and style. - -Functionality will be determined holistically using a combination of difficulty of project and success of execution. Unfortunately, that's as detailed as we can get given the breadth of possible topics. In effect, if you put in your fair share of effort, we'll be reasonable. ☺️ - -Stylistically, as always, you'll be assessed on three main categories: - -* **Pythonic practices:** Proper use of the Python tools and ways of thinking introduced in this class - using list comprehensions where appropriate, intelligent utilizing iterables/generators where appropriate, etc. Show us that you've learned how to think like a Python programmer! -* **Program design:** General programming style - decomposition, commenting, logic, algorithm design, etc. -* **Python mechanics:** Basically everything covered in PEP8 - naming, spacing, parenthesizing, etc. - -We hold the final project to a higher standard of style than the assignments, since it's naturally more freeform. Make sure that your code is something that you are proud showing off! - -## Submitting - -Upload all of the files you want to submit, including a `README` and a short demo video, to [Paperless](https://paperless.stanford.edu). - -**WARNING: If you use any third-party libraries, ensure that you have generated a `requirements.txt` file listing your project's dependencies before submitting. You can do this by putting the output of `$ pip freeze` into a file. When exercising your code, we guarantee that we will run `$ pip install -r requirements.txt` to install this list of dependencies.** - -If your project is sufficiently convoluted, make sure to add the corresponding clarifying information in your README file. - -We highly recommend that you check your submission folder on Paperless after submitting to ensure that all necessary files were copied over successfully. - -## Credit -This handout is based on a similar handout written by former CS 41 Course Staff. - -> With 🦄s by @psarin and @coopermj diff --git a/final-proj/ideas.md b/final-proj/ideas.md deleted file mode 100644 index c2d944e..0000000 --- a/final-proj/ideas.md +++ /dev/null @@ -1,71 +0,0 @@ -# Potential Project Ideas - -## Stuck? -*Here are some suggestions* - -If you're totally stuck, it can help to think through your answers to the following questions. - -What categories of stuff are you interested in? Machine learning? Sports? Food? Fashion? Music? Dev tools? Photography? Healthcare? Social media? Video games? Sleeping? Board games? Theater? Biophysics? Algorithms? Systems? Automation? AI? etc. - -What data is available? Census data? Genome data? API data? Survey data? etc. - -What problems do you care about? Healthcare? Food insecurity? Education? Climate change? Divestment? Mental health? Politics? etc. - -You can do almost anything you would like to! - -## Random Ideas -*Miscellaneous ideas that we thought of over the course of the quarter.* - -* 2-Step Auto-Authenicator - who needs security? automatically 2-step-authenticate all messages from a certain sender. -* Pizza Button - a hardware button that when pressed will use my credit card info to deliver Domino's directly to the dorm room. -* paperless.py - clone and update Paperless so that it can support CS41 (way out of scope for this class but a person can dream) -* canvasdav - a WebDAV client for Canvas (Coursework had one, Canvas doesn't) for local filesystem-like mounting of Canvas materials -* astparse - check for similarity between python code by looking at the ASTs -* piazzAI - a piazza client that answers common questions by using a hand-selected bank of information about the course or by learning based off of other student/TA answers -* stamp - convert spotify playlists to apple music playlists and back -* herowid - using the erowid database, a huge set of experiences of people on a variety of illegal drugs, classify a person's substance abuse based on their speech or text patterns -* xl2py - an excel spreadsheet to python converter, with reference resolution and everything -* facegraph - scrape all facebook chats with a given person and generate visualizations and analytics of your lifetime conversation -* quarto AI - AI to play a hyper-tic-tac-toe game -* codenames AI - AI using NLP to suggest a clue that is very similar to one set of words but very different from another set of words -* wireframe visualizer - build a project that visualizes 3D graphics using raytracing -* convex optimizer - generic convex optimizations on sufficiently constrained problems - -## Previous Proposals -*List of proposals from last quarter's final projects. This list exists to show you the incredible breadth of projects that are possible!* - -* Bach - Programming a Python-based piano interface with various musical capabilities. -* NoNonsense.py - scrape the genome of a new organism and return all the genes that will need to be changed, as well as all suggested primers to design to convert this to a viable system for nonsense suppression. -* TeaWithStrangers - When given a group of people and their survey answers, the program will output clusters of people based on common interests with optimized probability of great conversations and new friendships. -* RaspiTrack.py - Implementing a small number of computer vision algorithms in Python using a Raspberry Pi and a RPi Camera module, specifically focused on detecting circular objects, including edge-detection (Canny), k-means, and blob detection. -* Tweet Analyzer - scrapes Tweets based on a hashtag and performs sentiment analysis -* Hearts - Programming a Python-based interface for the game Hearts. -* Kaggle.py - Participate in a Kaggle competition using Python -* Juke - desktop jukebox application, allowing a user to create a playlist then people in proximity will be able to queue songs from their laptops onto the playlist -* Fantasy Football Trade Generator - propose mutually beneficial trades between teams in any fantasy football league. -* Dexcom Data Visualizer - suite that parses Dexcom data to create useful visualizations and metrics using Python. -* MashedHeadlines.py - Twitter bot that will mash together two headlines and tweet them every hour -* Random Rapper - version of the random writer project from CS106B that scrapes rap lyrics from the lyrics website Genius.com to generate random, rap-like output. - -## Ex-Assignments -*These projects were barely cut from being CS41 assignments. With some modification, they could be good final projects!* - -* Ghost AI - build an AI for the popular word game Ghost, where players sequentially add a character to a growing prefix, losing if they spell a full word or if the current string is not a valid prefix of any word. - - -## Stolen Assignments -*Implementations of programming assignments from other classes, this time in Python!* - -* Karel (CS106A)- build a Karel emulator in Python, including a graphical interface, a lexer and parser for the karel language, and enforce correctness) -* RSS Aggregator (CS110) - aggregates news from lots of RSS feeds - -## Past Assignments -*Some full-fledged assignments from previous quarters!* - -* [AI Racecar](https://github.com/parthsarin/AIRacetrackGame) -* [PyTri : Python Image Triangulation](https://github.com/pmaldonado/PyTri) - -## Credit -This handout was used in prior versions of CS 41, where it was unattributed to any individual person. Context suggests that it was a pool of ideas from a bunch of former CS 41 Course Staff. 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- Parth's D&D Character. -

- -Honestly, the only part we're worried about is the actual algorithm of choosing the best matching character. Can a naive algorithm do "well enough," or do we need to incorporate ML techniques to get reasonable results? We're fairly confident that we can scrape the character data and do the console I/O. - - -### Estimated Timeline - -**(Core)** - -* Task 1 (1 hours) - both -* Task 2 (2 hours) - both -* Task 3 (0.5 hours) - Guido -* Task 4 (1 hours) - Michael -* Task 5 (1 hours) - Parth -* Task 6 (3 hours) - both - -**(Stretch)** - -* Task 7 (1.5 hours) - Michael -* Task 8 (4 hours) - Parth -* Task 9 (5 hours) - Guido - -We've made a little progress on Task 1 (we acquired an API token), but we haven't used it to connect to the API endpoint yet. - - -## Resources - -All of our data is going to come from the APIs described above, but we're also going to hand-code some test characters for small data sets to make sure the general logic is working. diff --git a/final-proj/template.md b/final-proj/template.md deleted file mode 100644 index 641e167..0000000 --- a/final-proj/template.md +++ /dev/null @@ -1,48 +0,0 @@ -# Project Title - -> Team Member 1 (sunet1) [ ,Team Member 2 (sunet2) [, and Team Member 3 (sunet3) ] ] - - -## Overview -*This section should be on the order of a few (1-2) sentences. After reading this, we should have a general sense of your final project topic. You can imagine that this is the description blurb for your project if we were to make a CS41 Final Project Program.* - -At a high-level, what do you propose to work on for your final project? - - -## Background -*This section should be on the order of a few (1-2) paragraphs. If your project is highly domain-specific, this section may be longer.* - -Give us some context for your project. We may not be as informed about the topic as you are. Why are you excited about this topic? Do you have any experience with projects like this? What effects could this project have on the outside world? - - -## Implementation Strategy -*This section should be on the order of a few (2-3) short paragraphs, and captures your current program design.* - -At a high-level, how do you plan to implement your project? How does it incorporate Python? - -What are the main pieces that your projects breaks down into? -How do these pieces connect to each other? If they share data in some way, how? - -Which Python packages do you plan to work with? How will these external modules connect to the code you write? - - -## Tasks -*This section is the most important because it gives us a sense of the scope of your project and forces you to think about the deliverables to which you'll hold yourself.* - -Break down your project into a sequence of small tasks that you can feasibly accomplish to incrementally build towards a complete working project. - -Include at least three stretch goals. A *stretch goal* is an extension that you think would be really awesome, but would probably be outside the scope of the final project. - -What tasks do you think will be easy? What tasks do you think will be hard? Tedious? Trivial? Give us a sense of your current outlook on these project tasks. - -Annotate each of the tasks (including stretch goals) with an estimate for how long you believe the task will take you. If you're in a group, also annotate each task with the names of anyone responsible for the task. - -If you've already accomplished some of the tasks, make a note of it! If you're incorporating a final project for another class into this final project, you'll be held to a higher standard of quality and quantity, so make a note of that too. - -This task list isn't binding - you can change your mind, modify tasks, etc - but it's a good starting point to organize incremental development. - - -## Resources -*This section is smaller and less vital than the others. If you're not using any external resources, you can leave this blank.* - -What external resources will you be working with? If you are working with a dataset, how will you acquire the data set? If you're publishing some project (e.g. web app), how will you host your project? If your project requires hardware, how will you get it? Are there any other resources you need to acquire before starting? \ No newline at end of file From 1e80b80ef1e15264bbf0e153e8ba98e12cc5324c Mon Sep 17 00:00:00 2001 From: cooper-mj Date: Thu, 25 Mar 2021 23:21:13 -0700 Subject: [PATCH 02/19] Revised A0 to add creative component, remove bridge --- .DS_Store | Bin 0 -> 6148 bytes Assignment0/README.md | 336 ++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 336 insertions(+) create mode 100644 .DS_Store create mode 100644 Assignment0/README.md diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..b8f77e4c6423505238112ae58ce0abb83194e8a9 GIT binary patch literal 6148 zcmeHK%Z}496us`0k`M_6X%-+@SYpAZBc%e`ZKiZsA%VzgTbBF?h$YvLq8XL)*dWCCR@djoIrlm~iR>BxNPm`g0DJ&&&?PopY<^(! zzVtO~n4T6QQ8h-uU;-JoVvTJ({zV1kyYpZdD*WYe^!)|NyqYEjPmu97nHG5^g5VQr zY&B1{PCM=y&-KoF-ot3j=aGoTtm?<*(7zPrX_mz0L7s~7e#Z8S>@Z`u%UiL?%KMVM z&v}6a9mmPNJev>w?HinlIA>X@>ggH}4sw?Ad7sZ%S}DFMuHrkf7-Jphau`#5L;%-u zhyKOIVyAPx+iTOEPS9Pp>7v&Q+VtAh?sDn6&V?&C?>?G6efIpt%U7@8ynC+_f#BDx z?3}?Be86CXI>o3HJ>iq-in^IO;e&zE(fKT*FCSZPcYnrC|A0Lm|L#*9MkOma8{x>S z*&cax8(Iad0w+uXvko}k37fZ_u2sM)@M{I+`asboh6ZbmYU#j69RU!V*sTm>d6tkl z)L>|^)`)k|h)zY+sl*&Hh)&0TYIvc+TBA+}Vh$g~j7-c4g{aZ7K2>xep+?(U1*`(c z71+|3zTE%!HlP2GC)q2jfK}kXQh+oE(V&l0GJEUV Due: 11:59 PM, Tuesday Jan 21 + +## Overview + +This introductory assignment aims to give you practice with a few of the Python fundamentals we've covered in class. More importantly, the goal of this warmup assignment is to ensure that your local Python installation is set up correctly and that you are familiar with the CS41 submission process. + +- *Expected Time: 2 hours* +- *Max Time: 4 hours* + +Note: Please get started early! We want to make sure there's time to resolve any installation or submission problems. + +## Outline + +- In Part 1, you will create a file called `coconuts.py` in which you write code to calculate the coconut-carrying capacity of swallows. +- In Part 2, you will create a file called `cheese.py` in which you write code to play the part of a cheese shop owner as they discuss inventory with a client. +- In Part 3, you will design and implement your own console I/O program from a broad specification - we're excited to see what programs you choose to build! + +(If this all sounds rather random, don't worry - as you will see later, the first two parts of this assignment are well-grounded in Monty Python sketches, which partially-inspired the name of the Python Programming Language). + +## Installing Python + +Follow our instructions for installing Python 3.9.2 and setting up a virtual environment. _It is important that you have Python 3.9.2 installed on your system, as some of the features we will be discussing later in the quarter are unique to this most recent version of Python._ + +- For macOS users, follow [these instructions](https://github.com/stanfordpython/python-handouts/blob/master/installing-python-macos.md) +- For Linux users, follow [these instructions](https://github.com/stanfordpython/python-handouts/blob/master/installing-python-linux.md) +- For Windows users, follow [these instructions](https://github.com/stanfordpython/python-handouts/blob/master/installing-python-windows.md) + +**IMPORTANT: Every time you open a new terminal session, you will need to activate your virtual environment again.** + +## Starter Files + +There are no starter files for this assignment. + +You will create and submit three Python files, named `coconuts.py`, `cheese.py`, and `creative.py`, and two text files, named `data.txt` and `sampleruns.txt`. + +A reasonable starter `.py` file might look like: + +```python +#!/usr/bin/env python3 +"""Module-level comment.""" + +# Write additional code and functions here. + +def main(): + # Write the main execution of your program here. + +if __name__ == '__main__': + main() +``` + +## Part 1: Coconut-Carrying Capacities + +Before anything else, watch [this three-minute video](https://www.youtube.com/watch?v=zqtS9xyl0f4) on Youtube. The transcript can be found [here](http://www.montypython.net/scripts/HG-cocoscene.php). + +We're going to help the guards out and compute whether a collection of swallows can carry a collection of coconuts between them. We know that "a five ounce bird could not carry a one pound coconut," so we will assume that a 5.5 ounce bird can carry a one pound coconut. More specifically, we will assume that every 5.5 ounces of bird can carry one pound of coconut. + +Create a file named `coconuts.py` in which we will write our program. In this portion of the assignment, we will ask the user for two numbers: the total ounces of birds that are carrying coconuts, and the total weight in pounds of the coconuts. + +Prompt the user for the number of ounces of bird by asking: `"How many ounces of birds are carrying the coconuts? "`. Prompt the user for the number of pounds of coconut by asking: `"How many pounds of coconuts are there? "`. Remember to convert these values to numeric types! + +If the total number of ounces of birds divided by the number of pounds of coconuts is at least 5.5 (including the value 5.5), then print `"Yes! Carrying the coconuts is possible."`. Otherwise, print `"No. Carrying the coconuts is impossible."` + +You can assume that the user input is formatted correctly. + +### Sample Runs + +Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* + +``` +(cs41-env)$ python coconuts.py +How many ounces of birds are carrying the coconuts? 5 +How many pounds of coconuts are there? 1 +No. Carrying the coconuts is impossible. + +(cs41-env)$ python coconuts.py +How many ounces of birds are carrying the coconuts? 6.2 +How many pounds of coconuts are there? 1.1 +Yes! Carrying the coconuts is possible. + +(cs41-env)$ python coconuts.py +How many ounces of birds are carrying the coconuts? 17 +How many pounds of coconuts are there? 3 +Yes! Carrying the coconuts is possible. + +(cs41-env)$ python coconuts.py +How many ounces of birds are carrying the coconuts? 12.5 +How many pounds of coconuts are there? 2.5 +No. Carrying the coconuts is impossible. +``` + +### Hints + +In all portions of this assignment, you may find it tedious to repeatedly enter inputs. You can create a file, for example called `coconuts-input.txt`, and populate it with the two lines `17` and `3` so that the file looks like: + +``` +17 +3 +``` + +Now, you can run the program with predetermined input by running: + +``` +(cs41-env)$ python3 coconuts.py < coconuts-input.txt +How many ounces of birds are carrying the coconuts? How many pounds of coconuts are there? Yes! Carrying the coconuts is possible. +``` + +The formatting will be compressed, and a little harder to read, but this debugging trick might be an efficiency gain for you in the later parts of the assignment. + +### Submission + +Please submit a file called `coconuts.py` which contains the code for this segment of the assignment. + +## Part 2: The Cheese Shop + +Before anything else, watch [this five-minute video](https://www.facebook.com/MontyPython/videos/567922730042254/) (cw: gun violence) on Facebook. The transcript can be found [here](http://www.montypython.net/scripts/cheese.php). + +In this part of the assignment, you will play the part of the Michael Palin, the owner of the National Cheese Emporium. + +Unlike the owner in the sketch, you *do* have some cheeses, and you will repeatedly ask the user what cheese they would like, and then you will respond whether or not you have that cheese. + +Make a list of `cheeses` containing `"Muenster"`, `"Cheddar"`, and `"Red Leicester"`; these are the cheeses you have in your shop. + +Begin by printing the string `"Good morning. Welcome to the National Cheese Emporium!"` to the console. + +Next, in a loop, we will repeatedly ask the user which cheese they would like to buy. If the user enters the exact name of a cheese that you have, affirm that you have the cheese they asked for in the format `"We have {}, yessir."`. If the user does not enter the exact name of a cheese that you have, say that you don't have that cheese in the form `"I'm afraid we don't have any {}."` and then reprompt the user to ask for another cheese. + +The user is also allowed to enter special questions. If the user enters either of the strings `"You... do have some cheese, don't you?"` or `"Have you in fact got any cheese here at all?"`, you must reply by listing the number of cheeses that you have in the format `"We have {} cheese(s)!"`, along with the name of each type of cheese you have, one on each line. + +### Sample Usage + +Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* + +``` +(cs41-env)$ python cheese.py +Good morning. Welcome to the National Cheese Emporium! +What would you like? Red Windsor +I'm afraid we don't have any Red Windsor. +What would you like? Lancashire +I'm afraid we don't have any Lancashire. +What would you like? cheddar +I'm afraid we don't have any cheddar. +What would you like? Cheddar +We have Cheddar, yessir. + +(cs41-env)$ python cheese.py +Good morning. Welcome to the National Cheese Emporium! +What would you like? Red Windsor +I'm afraid we don't have any Red Windsor. +What would you like? cHeDdAr +I'm afraid we don't have any cHeDdAr. +What would you like? Have you in fact got any cheese here at all? +We have 3 cheese(s)! +Muenster +Cheddar +Red Leicester +What would you like? exit +I'm afraid we don't have any exit. +What would you like? LET ME OUT +I'm afraid we don't have any LET ME OUT. +What would you like? Cheddar +We have Cheddar, yessir. +``` + +For anything that is not detailed in the above specification, your program can behave in any way you'd like. For example, you can customize the prompts and messages. + +### Hints + +You can check that an element is contained in a collection by using the keyword `in`. + +### Submission + +Please submit a file called `cheese.py` which contains the code for this segment of the assignment. + +## Part 3: Console I/O and Persistent Storage + +In the third part of this assignment, you will implement a program with two, rather broad, requirements: +1. The program must employ Console I/O. That is, the user must both read from the console (to understand instructions, or gain information, for example), and write to the console (to input information into your program) over the course of each successful run. +2. The program must access data stored in a text file over the course of its run. + +To give you an idea of the scope and complexity of what we expect from this part of the assignment, below are two examples of types of submissions which would fulfill the requirements of this component. + +### Example 1: User Authentication + +A simple user authentication program would allow users to create an account (in which a username and password would be appended to a text file for future access), and attempt to authenticate (in which the program would iterate through the text file to check if the given username and password combination is present in the file). + +It would then accept or reject the authentication request based on whether the user's credentials appeared in the text file. A sample run for such a system might appear as follows: + +``` +(cs41-env)$ python creative.py +Would you like to add a new user, or authenticate an existing user? add +What is your username? coopermj +What is your password? parthsarin12345 +Successfully added credentials to data.txt! + +(cs41-env)$ python creative.py +Would you like to add a new user, or authenticate an existing user? authenticate +What is your username? coopermj +What is your password? pythoniscool +Authentication failed. Either the username or password is incorrect. + +(cs41-env)$ python creative.py +Would you like to add a new user, or authenticate an existing user? authenticate +What is your username? coopermj +What is your password? parthsarin12345 +Authentication success! Access granted. +``` + +(This problem is somewhat near and dear to my - Michael's - heart, since I've worked on authentication systems in several capacities for a couple of years now. This would be a great example of what we'd love to see in this part of the assignment - bringing something that you're passionate about, and theming your submission of this part around your area of interest). + +### Example 2: Simple Schedule + +A simple scheduling system would allow users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Notes - I've used a MMDDYYYY encoding scheme for dates, and for hours, I've converted hours to floating point numbers, such that 14.5 means 2:30PM). + +``` +(cs41-env)$ python creative.py +Would you like to add a new event, or check an existing time slot? add +What is the name of the event? CS41 Lecture +On which day would you like to schedule the event? 03302021 +What is the start time? 14.5 +What is the end time? 16 +Successfully added the event to your day! + +(cs41-env)$ python creative.py +Would you like to add a new event, or check an existing time slot? check +On which day would you like to check for scheduled events? 03302021 +What time would you like to check for availability? 15 +At that time, you'll be busy with CS41 Lecture. +``` + +Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, if designing an authentication system as in the first example, you may choose to create a text file with the following data format: + +``` +coopermj +parthsarin12345 + +psarin +pythoniscool!! + +antonioferriss +cs41isafunclass +``` + +If you're designing a scheduling system as in the second example, you may choose to create a text file with the following data format: +``` +event_name:CS41 Lecture +date: 03302021 +start_time: 14.5 +end_time: 16 + +event_name:Workout +date: 04012021 +start_time: 10 +end_time: 11 +``` + +The format in which you choose to store your data is up to you, and will likely be (at least in part) informed by the type of system you choose to implement for this part of the assignment. If you're having trouble working out a data format, though, feel free to reach out, and we're more than happy to help brainstorm with you. + +We've deliberately left this problem open-ended, since we're excited to see where you choose to take this prompt. + +_We'd ask that, in the spirit of open-endedness, that you please not implement one of the two examples above, but rather that you bring your own take on this assignment to this submission - if you're really struggling for ideas, though, please reach out to us!_ + +### Submission + +Please submit a file called `creative.py` which contains the code for this segment of the assignment. Please also submit the following two text files. `sampleruns.txt` should contain - similar to what we've shown in the examples above - input and output from a couple of sample runs, copied and pasted from your Terminal. This will give us an idea of how to interact with your program while grading it. Additionally, `data.txt` will contain some starter data for your program, so that the user does not need to construct a data file and add data before querying for existing data (e.g. in the authentication example, a user should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). + +## Extensions +> Extensions on Assignment 0? If you insist. + +This section of an assignment handout usually gives a few of our suggestions if you're looking for ways to go above and beyond the requirements of the assignment. At no point are you ever required to implement an extension - although they sometimes provide interesting challenges or alternative approaches to problem-solving. + +In general, when you submit an extension to an assignment, add `-ext` to the end of the filename. In this case, if you want to submit an extension, you should submit *both* an unmodified `coconuts.py` file that implements the unextended assignment and a `coconuts-ext.py` file that implements your extension. Extension programs should also contain a module-level comment explaining what the extended assignment does differently. + +### Binge-Watch Monty Python Videos on Youtube +Including but not limited to: + +- [The Dead Parrot](https://www.youtube.com/watch?v=4vuW6tQ0218) +- [The Argument Clinic](https://www.youtube.com/watch?v=XNkjDuSVXiE) + +or [the Monty Python channel](https://www.youtube.com/user/MontyPython/videos?sort=p&flow=grid&view=0) + +Include in your submission a file called `review.txt` with your thoughts on whichever videos you've watched! + +You can tell your friends and family, "it's for class." + +### `coconuts`: Multiple questions +Allow the user to assess the coconut-carrying capacity of birds by putting your question-answering logic in a loop. Continue until the user enters an empty line for either the number of ounces of swallow or the number of pounds of coconut. + +### `coconuts`: Advanced coconut-carrying logic +Ask the user to differentiate between a European and African swallow. Penalize (or reward) groups of swallows or individual swallows. + +### `cheese`: Assignment Expressions +If you're feeling especially fancy, [you can use assignment expressions](https://www.python.org/dev/peps/pep-0572/) (a nifty new feature in Python 3.8) to assign a value to a variable in a loop condition. + +### `cheese`: Cycle through responses +Instead of always using the same prompts and responses, cycle through a list of predetermined responses. + +### `cheese`: Fuzzy matching +Allow the user to enter any input, and search for each of your cheeses, case-insensitively, in their input. That is, let the user ask: `"Any Norwegian Jarlsberger, per chance?"`. + +## Grading + +This assignment will not be assigned a numeric grade. However, we will be leaving detailed feedback on your functionality and style, so take a pass through your completed assignment to make its style feel good (to you!) if you haven't already done that. + +Even though we haven't discussed style too much in class so far, + +## Style Checks + +While not necessary for this assignment, we want to point out a really useful tool for following the mechanics of Python style. The `pycodestyle` command-line tool takes as arguments a list of Python files and outputs a list of mechanical style violations. This catches small things like inconsistent spacing, line length, whitespace, but not larger things like program design, idiomatic Python, or structural complexity. + +You can run `pycodestyle` as follows: + +``` +(cs41-env)$ pycodestyle coconuts.py cheese.py creative.py +``` + +Any style violations will be printed to the console. You can automatically apply all of these changes using the `autopep8` tool. Be warned that the `autopep8` tool overwrites your files in-place, and may substantially change them, so you might want to apply changes by hand. However, `autopep8` can be a good time saver. + +``` +(cs41-env)$ autopep8 coconuts.py cheese.py +``` + +If you just want to see what changes would be made, but not apply them, you can use `autopep8 --diff coconuts.py cheese.py creative.py` instead. + +During setup, we installed both `pycodestyle` and `autopep8` into our virtual environment, so they will be available inside of the virtual environment. That is, make sure that you have activated your `cs41-env` virtual environment in order to run these tools. + +## Submitting + +Submit the python files you've created to [Paperless](https://paperless.stanford.edu). + +If you've added any extra files or extensions above to the assignment, you should include those in your Paperless submission as well. + +## Credit +Credit for the assignment idea and much of this writeup go to Sam Redmond (@sredmond). + +> With 🦄 by @parthsarin and @coopermj From 46e58c0a3c5272ee56ad30bb8ed15215358ec98d Mon Sep 17 00:00:00 2001 From: cooper-mj Date: Fri, 26 Mar 2021 00:01:14 -0700 Subject: [PATCH 03/19] Add due date --- Assignment0/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Assignment0/README.md b/Assignment0/README.md index 6744881..7821af2 100644 --- a/Assignment0/README.md +++ b/Assignment0/README.md @@ -1,5 +1,5 @@ # Assignment 0: Welcome to Python! -> Due: 11:59 PM, Tuesday Jan 21 +> Due: 11:59 PM, Thursday April 8, 2021 ## Overview From c73ca54dc95559ab17f94330274566e76840f3e1 Mon Sep 17 00:00:00 2001 From: cooper-mj Date: Fri, 26 Mar 2021 20:15:41 -0700 Subject: [PATCH 04/19] Theme Part 3 around chatbot --- .DS_Store | Bin 6148 -> 6148 bytes Assignment0/README.md | 99 +++++++++++++++++++++++++----------------- 2 files changed, 58 insertions(+), 41 deletions(-) diff --git a/.DS_Store b/.DS_Store index b8f77e4c6423505238112ae58ce0abb83194e8a9..f2f7f44894c4279adb1be0283d3daad6ea240112 100644 GIT binary patch delta 162 zcmZoMXffDe$YgjXsURn_xWvHVIwKP^3o9Et2PY>7CogAga7KQ4a7kiGX|YpcQ8b7b zkXVwDlsLJZ$uk(NC|*Fix?0!J)XZE*0Z5tG>L^s3n;YmTm>8SY)^c))s~XyRCgfID oRoB$k&0zooMn(wDzz?Ni)ZED%n58zmFdt@_*r2nSo#QV*0Bm|Dr~m)} delta 199 zcmZoMXffDe$mI4TsURn_xWvHV1|t(Q3o9Et2PYRdCpRBAcWiJ*etB?7Vo7PSQ({rP zfJ|^^N@`MKQFvxbNk&L&o@-8OS!$ktkxybt>f|IQ&#Y*WhJeJ944@(oWrsus1`y!n z;EWfLuCCTKG&M8VQP4FsFss#3s5Un@&`~fkHmj}WF$6T7 diff --git a/Assignment0/README.md b/Assignment0/README.md index 7821af2..3feda2d 100644 --- a/Assignment0/README.md +++ b/Assignment0/README.md @@ -8,15 +8,15 @@ This introductory assignment aims to give you practice with a few of the Python - *Expected Time: 2 hours* - *Max Time: 4 hours* -Note: Please get started early! We want to make sure there's time to resolve any installation or submission problems. +Note: As this is Assignment 0, please get started early! We want to make sure that there's time to resolve any installation or submission problems. ## Outline - In Part 1, you will create a file called `coconuts.py` in which you write code to calculate the coconut-carrying capacity of swallows. - In Part 2, you will create a file called `cheese.py` in which you write code to play the part of a cheese shop owner as they discuss inventory with a client. -- In Part 3, you will design and implement your own console I/O program from a broad specification - we're excited to see what programs you choose to build! +- In Part 3, you will design and implement your own chatbot program from a broad specification - we're excited to see what types of chatbots you choose to build! -(If this all sounds rather random, don't worry - as you will see later, the first two parts of this assignment are well-grounded in Monty Python sketches, which partially-inspired the name of the Python Programming Language). +(If coconuts and cheese shops sound rather random, there is some method to this madness - the first two parts of this assignment are themed, as you will soon see, around Monty Python sketches which inspired the name of the Python Programming Language). ## Installing Python @@ -32,7 +32,7 @@ Follow our instructions for installing Python 3.9.2 and setting up a virtual env There are no starter files for this assignment. -You will create and submit three Python files, named `coconuts.py`, `cheese.py`, and `creative.py`, and two text files, named `data.txt` and `sampleruns.txt`. +You will create and submit three Python files, named `coconuts.py`, `cheese.py`, and `chatbot.py`, and two text files, named `data.txt` and `sampleruns.txt`. A reasonable starter `.py` file might look like: @@ -172,65 +172,77 @@ You can check that an element is contained in a collection by using the keyword Please submit a file called `cheese.py` which contains the code for this segment of the assignment. -## Part 3: Console I/O and Persistent Storage +## Part 3: Creative Chatbot -In the third part of this assignment, you will implement a program with two, rather broad, requirements: -1. The program must employ Console I/O. That is, the user must both read from the console (to understand instructions, or gain information, for example), and write to the console (to input information into your program) over the course of each successful run. -2. The program must access data stored in a text file over the course of its run. +In the third part of this assignment, you will implement a chatbot program similar to that which was discussed in Lecture 1.2, which uses a `while` loop to repeatedly prompt the user for interactions. This chatbot program will include two rather broad requirements: +1. The program must employ Console I/O. That is, the user must both read from the console (when being prompted for input, or to read output, for example), and write to the console (to provide the chatbot with information, for example) over the course of each run. +2. The program must access data stored in a text file over the course of its run, so that data from previous runs is accessible to users in future runs. To give you an idea of the scope and complexity of what we expect from this part of the assignment, below are two examples of types of submissions which would fulfill the requirements of this component. ### Example 1: User Authentication -A simple user authentication program would allow users to create an account (in which a username and password would be appended to a text file for future access), and attempt to authenticate (in which the program would iterate through the text file to check if the given username and password combination is present in the file). +A simple user authentication chatbot might take the role of a gatekeeper. The gatekeeper stops all travellers attempting to pass through the gate, and asks them for their name and passphrase. If the traveller provides a name and passphrase whch are contained in the gatekeeer's Book of Records, the traveller may proceed. If not, the traveller is denied entry. -It would then accept or reject the authentication request based on whether the user's credentials appeared in the text file. A sample run for such a system might appear as follows: +Upon being asked for a name and passphrase, each traveller has two options: they may (a) provide a valid name and passphrase, or (b) bribe the guard - which allows them to add a new name and passphrase to the Book of Records - for a small fee. + +A sample run for such a chatbot might appear as follows: ``` -(cs41-env)$ python creative.py -Would you like to add a new user, or authenticate an existing user? add -What is your username? coopermj -What is your password? parthsarin12345 -Successfully added credentials to data.txt! - -(cs41-env)$ python creative.py -Would you like to add a new user, or authenticate an existing user? authenticate -What is your username? coopermj -What is your password? pythoniscool -Authentication failed. Either the username or password is incorrect. - -(cs41-env)$ python creative.py -Would you like to add a new user, or authenticate an existing user? authenticate -What is your username? coopermj -What is your password? parthsarin12345 -Authentication success! Access granted. +(cs41-env)$ python chatbot.py +Halt! Welcome to the Doors of Destiny. Should you wish to proceed, you must identify yourself within the Book of Records. Is your name present in our book? yes +What is your name, traveller? Michael +What is your passphrase? parthsarin12345 +Welcome through, peaceful soul! + +(cs41-env)$ python chatbot.py +Halt! Welcome to the Doors of Destiny. Should you wish to proceed, you must identify yourself within the Book of Records. Is your name present in our book? no +Psst! I'm... not supposed to tell you this, but for a small... compensation... I'll be able to add you to the Book of Records without the Warden noticing. Would you like to be added to the Book of Records? yes +Perfect! I've added you - but I don't come cheap! I charge 100 Dogecoin for my services. Can you make the deposit? yes +Deposit successful! You have 5532 Dogecoin remaining in your account. +What is your name, then, traveller? Michael +What is your passphrase? parthsarin12345 +Welcome through the Doors of Destiny! And it's been a pleasure doing business with you. + +(cs41-env)$ python chatbot.py +Halt! Welcome to the Doors of Destiny. Should you wish to proceed, you must identify yourself within the Book of Records. Is your name present in our book? yes +What is your name, traveller? Michael +What is your passphrase? cs41isacoolclass +The passphrase you presented does not match our records! Guards - arrest this intruder! ``` -(This problem is somewhat near and dear to my - Michael's - heart, since I've worked on authentication systems in several capacities for a couple of years now. This would be a great example of what we'd love to see in this part of the assignment - bringing something that you're passionate about, and theming your submission of this part around your area of interest). +(Though this chatbot has somewhat more... personality... than most identity systems, this problem is somewhat near and dear to my - Michael's - heart, since I've worked on identity and authentication systems in several capacities for a couple of years now. This type of thinking would be be a great example of what we'd love to see in this part of the assignment - bringing something that you're passionate about, and theming your chatbot of this part around your area of interest). ### Example 2: Simple Schedule -A simple scheduling system would allow users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Notes - I've used a MMDDYYYY encoding scheme for dates, and for hours, I've converted hours to floating point numbers, such that 14.5 means 2:30PM). +Another example might be a Virtual Assistant chatbot, which allows users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Notes - I've used a MMDDYYYY encoding scheme for dates, and for hours, I've converted hours to floating point numbers, such that 14.5 means 2:30PM). ``` -(cs41-env)$ python creative.py -Would you like to add a new event, or check an existing time slot? add +(cs41-env)$ python chatbot.py +Hello there, it's Hal, your friendly scheduling assistant! Would you like to add a new event, or check an existing time slot? add What is the name of the event? CS41 Lecture On which day would you like to schedule the event? 03302021 What is the start time? 14.5 What is the end time? 16 Successfully added the event to your day! -(cs41-env)$ python creative.py -Would you like to add a new event, or check an existing time slot? check +(cs41-env)$ python chatbot.py +Hello there, it's Hal, your friendly scheduling assistant! Would you like to add a new event, or check an existing time slot? check On which day would you like to check for scheduled events? 03302021 What time would you like to check for availability? 15 At that time, you'll be busy with CS41 Lecture. + + +(cs41-env)$ python chatbot.py +Hello there, it's Hal, your friendly scheduling assistant! Would you like to add a new event, or check an existing time slot? open the pod bay doors +I'm sorry Dave, I'm afraid I can't let you do that. ``` -Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, if designing an authentication system as in the first example, you may choose to create a text file with the following data format: +Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, if designing an authentication system as in the first example, you might choose to create a text file with the following data format: ``` +dogecoin_in_account:5632 + coopermj parthsarin12345 @@ -254,22 +266,24 @@ start_time: 10 end_time: 11 ``` -The format in which you choose to store your data is up to you, and will likely be (at least in part) informed by the type of system you choose to implement for this part of the assignment. If you're having trouble working out a data format, though, feel free to reach out, and we're more than happy to help brainstorm with you. +The format in which you choose to store your data is up to you, and will likely be (at least in part) informed by the theme around which you'd like to design your chatbot. If you're having trouble working out a data format, though, feel free to reach out, and we're more than happy to help brainstorm with you. -We've deliberately left this problem open-ended, since we're excited to see where you choose to take this prompt. +We've deliberately left this problem open-ended, since we're excited to see where you choose to take this prompt. _We'd ask that, in the spirit of open-endedness, that you please not implement one of the two examples above, but rather that you bring your own take on this assignment to this submission - if you're really struggling for ideas, though, please reach out to us!_ ### Submission -Please submit a file called `creative.py` which contains the code for this segment of the assignment. Please also submit the following two text files. `sampleruns.txt` should contain - similar to what we've shown in the examples above - input and output from a couple of sample runs, copied and pasted from your Terminal. This will give us an idea of how to interact with your program while grading it. Additionally, `data.txt` will contain some starter data for your program, so that the user does not need to construct a data file and add data before querying for existing data (e.g. in the authentication example, a user should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). +Please submit a file called `chatbot.py` which contains the code for this segment of the assignment. Please also submit the following two text files. +- `sampleruns.txt` should contain - similar to what we've shown in the examples above - input and output from a couple of sample runs, copied and pasted from your Terminal. This will give us an idea of how to interact with your program while grading it. +- `data.txt` will contain some starter data for your program, so that the user does not need to construct a data file and add data before querying for existing data (e.g. in the authentication example, a user should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). ## Extensions > Extensions on Assignment 0? If you insist. This section of an assignment handout usually gives a few of our suggestions if you're looking for ways to go above and beyond the requirements of the assignment. At no point are you ever required to implement an extension - although they sometimes provide interesting challenges or alternative approaches to problem-solving. -In general, when you submit an extension to an assignment, add `-ext` to the end of the filename. In this case, if you want to submit an extension, you should submit *both* an unmodified `coconuts.py` file that implements the unextended assignment and a `coconuts-ext.py` file that implements your extension. Extension programs should also contain a module-level comment explaining what the extended assignment does differently. +When you submit an extension to an assignment, you should submit *both* an unmodified `coconuts.py` file that implements the unextended assignment and a `coconuts-ext.py` file that implements your extension. Extension programs should also contain a module-level comment explaining what the extended assignment does differently. ### Binge-Watch Monty Python Videos on Youtube Including but not limited to: @@ -298,6 +312,9 @@ Instead of always using the same prompts and responses, cycle through a list of ### `cheese`: Fuzzy matching Allow the user to enter any input, and search for each of your cheeses, case-insensitively, in their input. That is, let the user ask: `"Any Norwegian Jarlsberger, per chance?"`. +### `chatbot`: Go Nuts! +As you are likely well aware, building effective chatbots which can fluently converse with - and understand - humans is an open area of research in computer science. Though we've designed this assignment so that you implement a simple chatbot within a well-scoped set of requirements, there truly is no ceiling to where you can take this. As two starter ideas, though, we'd recommend adding new features to your chatbot within the theme you've defined, and seeing whether you can make your chatbot robust to imperfect input (in the calendar chatbot, for example, whether the user types `add` or `add event`, the outcome should be the same - how robust can you make your chatbot to such variability in user input?). + ## Grading This assignment will not be assigned a numeric grade. However, we will be leaving detailed feedback on your functionality and style, so take a pass through your completed assignment to make its style feel good (to you!) if you haven't already done that. @@ -311,16 +328,16 @@ While not necessary for this assignment, we want to point out a really useful to You can run `pycodestyle` as follows: ``` -(cs41-env)$ pycodestyle coconuts.py cheese.py creative.py +(cs41-env)$ pycodestyle coconuts.py cheese.py chatbot.py ``` Any style violations will be printed to the console. You can automatically apply all of these changes using the `autopep8` tool. Be warned that the `autopep8` tool overwrites your files in-place, and may substantially change them, so you might want to apply changes by hand. However, `autopep8` can be a good time saver. ``` -(cs41-env)$ autopep8 coconuts.py cheese.py +(cs41-env)$ autopep8 coconuts.py cheese.py chatbot.py ``` -If you just want to see what changes would be made, but not apply them, you can use `autopep8 --diff coconuts.py cheese.py creative.py` instead. +If you just want to see what changes would be made, but not apply them, you can use `autopep8 --diff coconuts.py cheese.py chatbot.py` instead. During setup, we installed both `pycodestyle` and `autopep8` into our virtual environment, so they will be available inside of the virtual environment. That is, make sure that you have activated your `cs41-env` virtual environment in order to run these tools. From 6536e75f08776f2ebc1d28993107f37a7fa9900b Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Sat, 27 Mar 2021 00:43:28 -0700 Subject: [PATCH 05/19] Pedagogical changes - Took out expected/max time - every student is different; why limit? - Minor tweaks to starter file template - Tweaked phrasing in Chatbot intro (requirements of *you* vs. requirements of the program) - Reformatted structure for the code, bold & italics in part 3 - Cut down on some phrasings --- .DS_Store | Bin 6148 -> 6148 bytes Assignment0/README.md | 139 +++++++++++++++++++++--------------------- 2 files changed, 70 insertions(+), 69 deletions(-) diff --git a/.DS_Store b/.DS_Store index f2f7f44894c4279adb1be0283d3daad6ea240112..c3b1f767b3db4e2d17cda7299d85a89fa7a50bd3 100644 GIT binary patch delta 42 ycmZoMXfc@J&&a+pU^gQp`{aL2Qj^t~K5?cLC+8&P=jSkP{>Su;Wiva+Uw!~Mqz^U# delta 35 rcmZoMXfc@J&&akhU^gQp+hj#%smW?gpEg@FpJAEUpuCx#<1aq|#ik2X diff --git a/Assignment0/README.md b/Assignment0/README.md index 3feda2d..c117eed 100644 --- a/Assignment0/README.md +++ b/Assignment0/README.md @@ -1,13 +1,10 @@ # Assignment 0: Welcome to Python! -> Due: 11:59 PM, Thursday April 8, 2021 +> Due: 11:59 PM, Friday, April 9, 2021 ## Overview This introductory assignment aims to give you practice with a few of the Python fundamentals we've covered in class. More importantly, the goal of this warmup assignment is to ensure that your local Python installation is set up correctly and that you are familiar with the CS41 submission process. -- *Expected Time: 2 hours* -- *Max Time: 4 hours* - Note: As this is Assignment 0, please get started early! We want to make sure that there's time to resolve any installation or submission problems. ## Outline @@ -34,11 +31,16 @@ There are no starter files for this assignment. You will create and submit three Python files, named `coconuts.py`, `cheese.py`, and `chatbot.py`, and two text files, named `data.txt` and `sampleruns.txt`. -A reasonable starter `.py` file might look like: +A reasonable starter file might look like: ```python #!/usr/bin/env python3 -"""Module-level comment.""" +""" +File: .py +------------------- + +What does this file do? +""" # Write additional code and functions here. @@ -89,27 +91,7 @@ How many pounds of coconuts are there? 2.5 No. Carrying the coconuts is impossible. ``` -### Hints - -In all portions of this assignment, you may find it tedious to repeatedly enter inputs. You can create a file, for example called `coconuts-input.txt`, and populate it with the two lines `17` and `3` so that the file looks like: - -``` -17 -3 -``` - -Now, you can run the program with predetermined input by running: - -``` -(cs41-env)$ python3 coconuts.py < coconuts-input.txt -How many ounces of birds are carrying the coconuts? How many pounds of coconuts are there? Yes! Carrying the coconuts is possible. -``` - -The formatting will be compressed, and a little harder to read, but this debugging trick might be an efficiency gain for you in the later parts of the assignment. - -### Submission - -Please submit a file called `coconuts.py` which contains the code for this segment of the assignment. +Submit the `coconuts.py` file, which should the code for this segment of the assignment. ## Part 2: The Cheese Shop @@ -172,72 +154,94 @@ You can check that an element is contained in a collection by using the keyword Please submit a file called `cheese.py` which contains the code for this segment of the assignment. -## Part 3: Creative Chatbot +## Part 3: Chatbot + +In the third part of this assignment, you will implement a chatbot program which has a conversation with the user. There are just two requirements for this program: -In the third part of this assignment, you will implement a chatbot program similar to that which was discussed in Lecture 1.2, which uses a `while` loop to repeatedly prompt the user for interactions. This chatbot program will include two rather broad requirements: -1. The program must employ Console I/O. That is, the user must both read from the console (when being prompted for input, or to read output, for example), and write to the console (to provide the chatbot with information, for example) over the course of each run. -2. The program must access data stored in a text file over the course of its run, so that data from previous runs is accessible to users in future runs. +1. *Ask the user for input and print out responses*. The program should read input from the console and, based on the input, print out some response. You don't have to respond immediately after every input; the program could keep asking questions, just as long as it responds eventually. +2. *Access stored data*. The program should access data stored in a text file over the course of its run, so that data from previous runs is accessible to users in future runs. To give you an idea of the scope and complexity of what we expect from this part of the assignment, below are two examples of types of submissions which would fulfill the requirements of this component. -### Example 1: User Authentication +### Example 1: The Doors of Destiny A simple user authentication chatbot might take the role of a gatekeeper. The gatekeeper stops all travellers attempting to pass through the gate, and asks them for their name and passphrase. If the traveller provides a name and passphrase whch are contained in the gatekeeer's Book of Records, the traveller may proceed. If not, the traveller is denied entry. Upon being asked for a name and passphrase, each traveller has two options: they may (a) provide a valid name and passphrase, or (b) bribe the guard - which allows them to add a new name and passphrase to the Book of Records - for a small fee. -A sample run for such a chatbot might appear as follows: +A sample run for such a chatbot might appear as follows (user input is ***bolded and italicized***): -``` +

 (cs41-env)$ python chatbot.py
-Halt! Welcome to the Doors of Destiny. Should you wish to proceed, you must identify yourself within the Book of Records. Is your name present in our book? yes
-What is your name, traveller? Michael
-What is your passphrase? parthsarin12345
+Halt! Welcome to the Doors of Destiny. 
+Should you wish to proceed, you must identify yourself within the Book of Records. 
+
+Is your name present in our book? yes
+What is your name, traveller? Michael
+What is your passphrase? parthsarin12345
 Welcome through, peaceful soul!
 
 (cs41-env)$ python chatbot.py
-Halt! Welcome to the Doors of Destiny. Should you wish to proceed, you must identify yourself within the Book of Records. Is your name present in our book? no
-Psst! I'm... not supposed to tell you this, but for a small... compensation... I'll be able to add you to the Book of Records without the Warden noticing. Would you like to be added to the Book of Records? yes
-Perfect! I've added you - but I don't come cheap! I charge 100 Dogecoin for my services. Can you make the deposit? yes
+Halt! Welcome to the Doors of Destiny. 
+Should you wish to proceed, you must identify yourself within the Book of Records. 
+
+Is your name present in our book? no
+Psst! I'm... not supposed to tell you this, but for a small... compensation... I might be able to add you to the Book of Records without the Warden noticing. 
+
+Would you like to be added to the Book of Records? yes
+Perfect! I've added you - but I don't come cheap! I charge 100 Dogecoin for my services. 
+Can you make the deposit? yes
 Deposit successful! You have 5532 Dogecoin remaining in your account.
-What is your name, then, traveller? Michael
-What is your passphrase? parthsarin12345
+
+What is your name, then, traveller? Michael
+What is your passphrase? parthsarin12345
 Welcome through the Doors of Destiny! And it's been a pleasure doing business with you.
 
 (cs41-env)$ python chatbot.py
-Halt! Welcome to the Doors of Destiny. Should you wish to proceed, you must identify yourself within the Book of Records. Is your name present in our book? yes
-What is your name, traveller? Michael
-What is your passphrase? cs41isacoolclass
+Halt! Welcome to the Doors of Destiny. 
+Should you wish to proceed, you must identify yourself within the Book of Records. 
+
+Is your name present in our book? yes
+What is your name, traveller? Michael
+What is your passphrase? cs41isacoolclass
 The passphrase you presented does not match our records! Guards - arrest this intruder!
-```
+
-(Though this chatbot has somewhat more... personality... than most identity systems, this problem is somewhat near and dear to my - Michael's - heart, since I've worked on identity and authentication systems in several capacities for a couple of years now. This type of thinking would be be a great example of what we'd love to see in this part of the assignment - bringing something that you're passionate about, and theming your chatbot of this part around your area of interest). +This chatbot is adorable and geeky! Feel free to bring your personality and passion to this ☺️ ### Example 2: Simple Schedule -Another example might be a Virtual Assistant chatbot, which allows users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Notes - I've used a MMDDYYYY encoding scheme for dates, and for hours, I've converted hours to floating point numbers, such that 14.5 means 2:30PM). +Another example might be a Virtual Assistant chatbot, which allows users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Note that this uses MMDDYYYY as an encoding scheme for dates and hours are represented as floating point numbers, so 14.5 means 2:30PM). Once again, user input is ***bolded and italicized***. -``` +

 (cs41-env)$ python chatbot.py
-Hello there, it's Hal, your friendly scheduling assistant! Would you like to add a new event, or check an existing time slot? add
-What is the name of the event? CS41 Lecture
-On which day would you like to schedule the event? 03302021
-What is the start time? 14.5
-What is the end time? 16
+Hello there, it's Hal, your friendly scheduling assistant! 
+
+Would you like to add a new event, or check an existing time slot? add
+What is the name of the event? CS41 Lecture
+On which day would you like to schedule the event? 03302021
+What is the start time? 14.5
+What is the end time? 16
+
 Successfully added the event to your day!
 
 (cs41-env)$ python chatbot.py
-Hello there, it's Hal, your friendly scheduling assistant! Would you like to add a new event, or check an existing time slot? check
-On which day would you like to check for scheduled events? 03302021
-What time would you like to check for availability? 15
+Hello there, it's Hal, your friendly scheduling assistant! 
+
+Would you like to add a new event, or check an existing time slot? check
+On which day would you like to check for scheduled events? 03302021
+What time would you like to check for availability? 15
 At that time, you'll be busy with CS41 Lecture.
 
 
 (cs41-env)$ python chatbot.py
-Hello there, it's Hal, your friendly scheduling assistant! Would you like to add a new event, or check an existing time slot? open the pod bay doors
+Hello there, it's Hal, your friendly scheduling assistant! 
+
+Would you like to add a new event, or check an existing time slot? open the pod bay doors
 I'm sorry Dave, I'm afraid I can't let you do that.
-```
+
+### Example: File I/O Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, if designing an authentication system as in the first example, you might choose to create a text file with the following data format: ``` @@ -270,13 +274,12 @@ The format in which you choose to store your data is up to you, and will likely We've deliberately left this problem open-ended, since we're excited to see where you choose to take this prompt. -_We'd ask that, in the spirit of open-endedness, that you please not implement one of the two examples above, but rather that you bring your own take on this assignment to this submission - if you're really struggling for ideas, though, please reach out to us!_ - ### Submission -Please submit a file called `chatbot.py` which contains the code for this segment of the assignment. Please also submit the following two text files. -- `sampleruns.txt` should contain - similar to what we've shown in the examples above - input and output from a couple of sample runs, copied and pasted from your Terminal. This will give us an idea of how to interact with your program while grading it. -- `data.txt` will contain some starter data for your program, so that the user does not need to construct a data file and add data before querying for existing data (e.g. in the authentication example, a user should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). +Please submit a file called `chatbot.py` which contains the code for this segment of the assignment. Please also submit the following two text files. + +- `sampleruns.txt` should contain - similar to what we've shown in the examples above - input and output from a couple of sample runs, copied and pasted from your Terminal. This will give us an idea of how to interact with your program while grading it. You don't need to bold and italicize the user input; we should be able to figure it out. +- `data.txt` should contain some data for your program, so that the user does not need to construct a data file and add data before querying for existing data (e.g. in the authentication example, a user should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). ## Extensions > Extensions on Assignment 0? If you insist. @@ -317,13 +320,11 @@ As you are likely well aware, building effective chatbots which can fluently con ## Grading -This assignment will not be assigned a numeric grade. However, we will be leaving detailed feedback on your functionality and style, so take a pass through your completed assignment to make its style feel good (to you!) if you haven't already done that. - -Even though we haven't discussed style too much in class so far, +This assignment will just be submitted for feedback, not a grade! ## Style Checks -While not necessary for this assignment, we want to point out a really useful tool for following the mechanics of Python style. The `pycodestyle` command-line tool takes as arguments a list of Python files and outputs a list of mechanical style violations. This catches small things like inconsistent spacing, line length, whitespace, but not larger things like program design, idiomatic Python, or structural complexity. +While not necessary for this assignment, we want to point out a useful tool for following the mechanics of Python style. The `pycodestyle` command-line tool takes as arguments a list of Python files and outputs a list of mechanical style violations. This catches small things like inconsistent spacing, line length, whitespace, but not larger things like program design, idiomatic Python, or structural complexity. *Nobody writes error-free code! `pycodestyle` is there to help your code comply with the (somewhat arbitrary) rules that the Python community has decided on.* You can run `pycodestyle` as follows: @@ -350,4 +351,4 @@ If you've added any extra files or extensions above to the assignment, you shoul ## Credit Credit for the assignment idea and much of this writeup go to Sam Redmond (@sredmond). -> With 🦄 by @parthsarin and @coopermj +> With love, 🦄s, and 🐘s by @psarin and @coopermj From 1615ee9c05f75edd0639ee9e12f993a0218b2b5d Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Sat, 27 Mar 2021 00:45:45 -0700 Subject: [PATCH 06/19] rename for consistency --- {Assignment0 => assign0}/README.md | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename {Assignment0 => assign0}/README.md (100%) diff --git a/Assignment0/README.md b/assign0/README.md similarity index 100% rename from Assignment0/README.md rename to assign0/README.md From 6a1801dc8c614df35206459b91bef94c345214e4 Mon Sep 17 00:00:00 2001 From: cooper-mj Date: Sat, 27 Mar 2021 01:35:58 -0700 Subject: [PATCH 07/19] Break coin balance vs. names/passphrases into two files, change currency, minor misc. edits --- .DS_Store | Bin 6148 -> 6148 bytes assign0/README.md | 17 ++++++++++------- 2 files changed, 10 insertions(+), 7 deletions(-) diff --git a/.DS_Store b/.DS_Store index c3b1f767b3db4e2d17cda7299d85a89fa7a50bd3..275918c72494b2d4f4067dffb48f2c1775cd49c5 100644 GIT binary patch delta 180 zcmZoMXfc=|#>B!ku~2NHo}wrR0|Nsi1A_nqLpnnqgF#Aha!ykIW=59f%$6W2c7{ZT zVj#>!md?)s%AiY?1sCPznIo* yPd>mT%Q$25Jtld^nVS`vuP|+9=iui6x(R6Scjn3bB90tDCozF6*&HFVh8X}*!zq9O delta 192 zcmZoMXfc=|#>B)qu~2NHo}wr_0|Nsi1A_nqLpnnqLoP!qkSy6)xSWxZeR3?T)Z};; zZpJf{vsoH^q^qlS4Nc9=brgV`Vl!j4rK}K_?6es5-<>%)xf_R&KS$8pQY!G7F%+A5j0d(JHL5}atlles) QIY7FACb4Xe5Lv?v0Gc}}F#rGn diff --git a/assign0/README.md b/assign0/README.md index c117eed..3093ec5 100644 --- a/assign0/README.md +++ b/assign0/README.md @@ -189,9 +189,9 @@ Is your name present in our book? no Psst! I'm... not supposed to tell you this, but for a small... compensation... I might be able to add you to the Book of Records without the Warden noticing. Would you like to be added to the Book of Records? yes -Perfect! I've added you - but I don't come cheap! I charge 100 Dogecoin for my services. +Perfect! I've added you - but I don't come cheap! I charge 100 coins for my services. Can you make the deposit? yes -Deposit successful! You have 5532 Dogecoin remaining in your account. +Deposit successful! (You have 5532 coins remaining in your account). What is your name, then, traveller? Michael What is your passphrase? parthsarin12345 @@ -207,11 +207,11 @@ What is your passphrase? cs41isacoolclass The passphrase you presented does not match our records! Guards - arrest this intruder! -This chatbot is adorable and geeky! Feel free to bring your personality and passion to this ☺️ +This chatbot is adorable and geeky! Feel free to bring your personality and passions to this part of the assignment. 😊 ### Example 2: Simple Schedule -Another example might be a Virtual Assistant chatbot, which allows users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Note that this uses MMDDYYYY as an encoding scheme for dates and hours are represented as floating point numbers, so 14.5 means 2:30PM). Once again, user input is ***bolded and italicized***. +Another example might be a Virtual Assistant chatbot, which allows users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Note that this uses `MMDDYYYY` as an encoding scheme for dates, and that hours are represented as floating point numbers, so 14.5 means 2:30PM). Once again, user input is ***bolded and italicized***.

 (cs41-env)$ python chatbot.py
@@ -242,11 +242,13 @@ I'm sorry Dave, I'm afraid I can't let you do that.
 
### Example: File I/O -Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, if designing an authentication system as in the first example, you might choose to create a text file with the following data format: +Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, if designing an authentication system as in the first example, you might choose to create two text files - `coins.txt` to keep track of the coin balance, and `data.txt` to track names and passphrases - with the following data formats, respectively: ``` -dogecoin_in_account:5632 +5632 +``` +``` coopermj parthsarin12345 @@ -276,10 +278,11 @@ We've deliberately left this problem open-ended, since we're excited to see wher ### Submission -Please submit a file called `chatbot.py` which contains the code for this segment of the assignment. Please also submit the following two text files. +Please submit a file called `chatbot.py` which contains the code for this segment of the assignment. Please also submit the following text files. - `sampleruns.txt` should contain - similar to what we've shown in the examples above - input and output from a couple of sample runs, copied and pasted from your Terminal. This will give us an idea of how to interact with your program while grading it. You don't need to bold and italicize the user input; we should be able to figure it out. - `data.txt` should contain some data for your program, so that the user does not need to construct a data file and add data before querying for existing data (e.g. in the authentication example, a user should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). +- Any additional data files, if your program uses more than one data file. (As we saw above, one clean implementation of the gatekeeper program utilizes two files, one of which tracks the coin balance, the other of which tracks names and passphrases). These files should be pre-populated with sample data in much the same way as the `data.txt` file you submit. ## Extensions > Extensions on Assignment 0? If you insist. From ad102ac374b6d6a1650f4de8e4fe3141fdf494fe Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Sat, 27 Mar 2021 11:08:58 -0700 Subject: [PATCH 08/19] remove .DS_Store --- .DS_Store | Bin 6148 -> 0 bytes .gitignore | 1 + 2 files changed, 1 insertion(+) delete mode 100644 .DS_Store create mode 100644 .gitignore diff --git a/.DS_Store b/.DS_Store deleted file mode 100644 index 275918c72494b2d4f4067dffb48f2c1775cd49c5..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 6148 zcmeHK&2G~`5S~p!V^bk=KuV8$;g*9#fSiz=kREzNGNOlqTDy)COSU(Pomvo#{21-? z^um!FPXcFVc2`k;h*T~J(Vb}a8}H2Q?tIC5vjD(`i?9pO0ssq@u<;O^-w63hcci9! z$jRgw6G*`cv&%RTJJF`YFkl$?*BGF^+XNpn{6w&}e??47-Ev)d^E4Le1UUMK%j!5n#mEU=~MN?l|9Bt=@QW(6nsZvLD$Wys0R>+|L);(4U{t(;GjZ z2HJirM7*;7;9WE>&Rb7ji!}G6bUc^IQ8>ns_oq=Biee}hX_(1zJmruRowwS{W$#6= z!=Lra4qx{BPKQ75y(~-HYCrA1I=M(bep-Gmzg**5Q5aQ4@>s#Dy+LbFweh6uU5aG3 zirpKTh|x&%V*SXypWhB{2m8lOMED2Mv*}$|vGpCUE!&v)ivj&(w+`=D*``{MMh$@xoD+W{P*w1yGtFcn3 z(t+vA2h%e%eM4b#b{wC}aA2-N(;5a01Dg!g)nkj!|Kt7l|IH-xWEe0E{8tRH#>g8D zu_S%A?i5F7El0gTC84-Vp-jO>AIH+5qxc9_3i>!1h_1#;A@-n{KLU~l(-;Q+Dg(a& D!)S-~ diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..e43b0f9 --- /dev/null +++ b/.gitignore @@ -0,0 +1 @@ +.DS_Store From 7bd66d8310b1900b9112cf8d0a15617e4ef995f5 Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Sat, 27 Mar 2021 11:13:10 -0700 Subject: [PATCH 09/19] brevity --- assign0/README.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/assign0/README.md b/assign0/README.md index 3093ec5..0c3bbc8 100644 --- a/assign0/README.md +++ b/assign0/README.md @@ -260,13 +260,14 @@ cs41isafunclass ``` If you're designing a scheduling system as in the second example, you may choose to create a text file with the following data format: + ``` -event_name:CS41 Lecture +event_name: CS41 Lecture date: 03302021 start_time: 14.5 end_time: 16 -event_name:Workout +event_name: Workout date: 04012021 start_time: 10 end_time: 11 @@ -280,9 +281,8 @@ We've deliberately left this problem open-ended, since we're excited to see wher Please submit a file called `chatbot.py` which contains the code for this segment of the assignment. Please also submit the following text files. -- `sampleruns.txt` should contain - similar to what we've shown in the examples above - input and output from a couple of sample runs, copied and pasted from your Terminal. This will give us an idea of how to interact with your program while grading it. You don't need to bold and italicize the user input; we should be able to figure it out. -- `data.txt` should contain some data for your program, so that the user does not need to construct a data file and add data before querying for existing data (e.g. in the authentication example, a user should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). -- Any additional data files, if your program uses more than one data file. (As we saw above, one clean implementation of the gatekeeper program utilizes two files, one of which tracks the coin balance, the other of which tracks names and passphrases). These files should be pre-populated with sample data in much the same way as the `data.txt` file you submit. +- `sampleruns.txt` should contain input and output from a couple of sample runs, copied and pasted from your Terminal (similar to what we've included above). This way we know how to interact with your program +- Any data files for your program (there should be at least one). Include some nontrivial data in the file so we don't have to add data before we use the program (e.g. in the authentication example, we should be able to attempt to login immediately, without first needing to create a file of credentials and populate it with a series of usernames and passwords). ## Extensions > Extensions on Assignment 0? If you insist. From efadf30e379581f131cc29f0f691d1d43b341bac Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Sat, 27 Mar 2021 11:17:21 -0700 Subject: [PATCH 10/19] bold & italicize user inputs --- assign0/README.md | 52 ++++++++++++++++++++++------------------------- 1 file changed, 24 insertions(+), 28 deletions(-) diff --git a/assign0/README.md b/assign0/README.md index 0c3bbc8..e807b5b 100644 --- a/assign0/README.md +++ b/assign0/README.md @@ -67,29 +67,28 @@ You can assume that the user input is formatted correctly. ### Sample Runs -Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* +Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* User input is ***bolded and italicized***: -``` -(cs41-env)$ python coconuts.py -How many ounces of birds are carrying the coconuts? 5 -How many pounds of coconuts are there? 1 +
(cs41-env)$ python coconuts.py
+How many ounces of birds are carrying the coconuts? 5
+How many pounds of coconuts are there? 1
 No. Carrying the coconuts is impossible.
 
 (cs41-env)$ python coconuts.py
-How many ounces of birds are carrying the coconuts? 6.2
-How many pounds of coconuts are there? 1.1
+How many ounces of birds are carrying the coconuts? 6.2
+How many pounds of coconuts are there? 1.1
 Yes! Carrying the coconuts is possible.
 
 (cs41-env)$ python coconuts.py
-How many ounces of birds are carrying the coconuts? 17
-How many pounds of coconuts are there? 3
+How many ounces of birds are carrying the coconuts? 17
+How many pounds of coconuts are there? 3
 Yes! Carrying the coconuts is possible.
 
 (cs41-env)$ python coconuts.py
-How many ounces of birds are carrying the coconuts? 12.5
-How many pounds of coconuts are there? 2.5
+How many ounces of birds are carrying the coconuts? 12.5
+How many pounds of coconuts are there? 2.5
 No. Carrying the coconuts is impossible.
-```
+
Submit the `coconuts.py` file, which should the code for this segment of the assignment. @@ -113,36 +112,35 @@ The user is also allowed to enter special questions. If the user enters either o Your program should be able to emulate the following sample runs. *Make sure to activate your virtual environment before executing these lines of code!* -``` -(cs41-env)$ python cheese.py +
(cs41-env)$ python cheese.py
 Good morning. Welcome to the National Cheese Emporium!
-What would you like? Red Windsor
+What would you like? Red Windsor
 I'm afraid we don't have any Red Windsor.
-What would you like? Lancashire
+What would you like? Lancashire
 I'm afraid we don't have any Lancashire.
-What would you like? cheddar
+What would you like? cheddar
 I'm afraid we don't have any cheddar.
-What would you like? Cheddar
+What would you like? Cheddar
 We have Cheddar, yessir.
 
 (cs41-env)$ python cheese.py
 Good morning. Welcome to the National Cheese Emporium!
-What would you like? Red Windsor
+What would you like? Red Windsor
 I'm afraid we don't have any Red Windsor.
-What would you like? cHeDdAr
+What would you like? cHeDdAr
 I'm afraid we don't have any cHeDdAr.
 What would you like? Have you in fact got any cheese here at all?
 We have 3 cheese(s)!
 Muenster
 Cheddar
 Red Leicester
-What would you like? exit
+What would you like? exit
 I'm afraid we don't have any exit.
-What would you like? LET ME OUT
+What would you like? LET ME OUT
 I'm afraid we don't have any LET ME OUT.
-What would you like? Cheddar
+What would you like? Cheddar
 We have Cheddar, yessir.
-```
+
For anything that is not detailed in the above specification, your program can behave in any way you'd like. For example, you can customize the prompts and messages. @@ -171,8 +169,7 @@ Upon being asked for a name and passphrase, each traveller has two options: they A sample run for such a chatbot might appear as follows (user input is ***bolded and italicized***): -

-(cs41-env)$ python chatbot.py
+
(cs41-env)$ python chatbot.py
 Halt! Welcome to the Doors of Destiny. 
 Should you wish to proceed, you must identify yourself within the Book of Records. 
 
@@ -213,8 +210,7 @@ This chatbot is adorable and geeky! Feel free to bring your personality and pass
 
 Another example might be a Virtual Assistant chatbot, which allows users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Note that this uses `MMDDYYYY` as an encoding scheme for dates, and that hours are represented as floating point numbers, so 14.5 means 2:30PM). Once again, user input is ***bolded and italicized***.
 
-

-(cs41-env)$ python chatbot.py
+
(cs41-env)$ python chatbot.py
 Hello there, it's Hal, your friendly scheduling assistant! 
 
 Would you like to add a new event, or check an existing time slot? add

From aff5c6a509a18a651a8a89c97fc37c95bf6a4d72 Mon Sep 17 00:00:00 2001
From: Parth Sarin 
Date: Sat, 27 Mar 2021 11:21:02 -0700
Subject: [PATCH 11/19] missed one b&i

---
 assign0/README.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/assign0/README.md b/assign0/README.md
index e807b5b..d80dfbe 100644
--- a/assign0/README.md
+++ b/assign0/README.md
@@ -129,7 +129,7 @@ What would you like? Red Windsor
 I'm afraid we don't have any Red Windsor.
 What would you like? cHeDdAr
 I'm afraid we don't have any cHeDdAr.
-What would you like? Have you in fact got any cheese here at all?
+What would you like? Have you in fact got any cheese here at all?
 We have 3 cheese(s)!
 Muenster
 Cheddar

From a64dc113aca4536cb2fa47189d2ad657711ff0d9 Mon Sep 17 00:00:00 2001
From: Parth Sarin 
Date: Sat, 27 Mar 2021 11:22:03 -0700
Subject: [PATCH 12/19] typo & reformat data to be more like u&p are actually
 stored

---
 assign0/README.md | 11 +++--------
 1 file changed, 3 insertions(+), 8 deletions(-)

diff --git a/assign0/README.md b/assign0/README.md
index d80dfbe..8d8119e 100644
--- a/assign0/README.md
+++ b/assign0/README.md
@@ -245,14 +245,9 @@ Note that with both of these examples, we've left the scheme you use to store da
 ```
 
 ```
-coopermj
-parthsarin12345
-
-psarin
-pythoniscool!!
-
-antonioferriss
-cs41isafunclass
+coopermj:parthsarin12345
+psarin:pythoniscool!!
+antonioferris:cs41isafunclass
 ```
 
 If you're designing a scheduling system as in the second example, you may choose to create a text file with the following data format:

From 821359bd73f22874da917e2ddd616cfa18bd1a7e Mon Sep 17 00:00:00 2001
From: Parth Sarin 
Date: Sat, 27 Mar 2021 11:49:25 -0700
Subject: [PATCH 13/19] usernames -> real names

---
 assign0/README.md | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/assign0/README.md b/assign0/README.md
index 8d8119e..3cd2007 100644
--- a/assign0/README.md
+++ b/assign0/README.md
@@ -245,9 +245,9 @@ Note that with both of these examples, we've left the scheme you use to store da
 ```
 
 ```
-coopermj:parthsarin12345
-psarin:pythoniscool!!
-antonioferris:cs41isafunclass
+Michael:parthsarin12345
+Parth:pythoniscool!!
+Antonio:cs41isafunclass
 ```
 
 If you're designing a scheduling system as in the second example, you may choose to create a text file with the following data format:

From b92a58213f8e5bb2547a7eae051a98c673377123 Mon Sep 17 00:00:00 2001
From: Parth Sarin 
Date: Sat, 27 Mar 2021 11:52:01 -0700
Subject: [PATCH 14/19] brevity

---
 assign0/README.md | 8 +++-----
 1 file changed, 3 insertions(+), 5 deletions(-)

diff --git a/assign0/README.md b/assign0/README.md
index 3cd2007..7c00aaa 100644
--- a/assign0/README.md
+++ b/assign0/README.md
@@ -238,7 +238,7 @@ I'm sorry Dave, I'm afraid I can't let you do that.
 
### Example: File I/O -Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, if designing an authentication system as in the first example, you might choose to create two text files - `coins.txt` to keep track of the coin balance, and `data.txt` to track names and passphrases - with the following data formats, respectively: +Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, the authentication system might have two files - `coins.txt` to keep track of the coin balance, and `data.txt` to track names and passphrases - that look like this: ``` 5632 @@ -250,7 +250,7 @@ Parth:pythoniscool!! Antonio:cs41isafunclass ``` -If you're designing a scheduling system as in the second example, you may choose to create a text file with the following data format: +The scheduling system in the second example might have a single data file that looks like this: ``` event_name: CS41 Lecture @@ -264,9 +264,7 @@ start_time: 10 end_time: 11 ``` -The format in which you choose to store your data is up to you, and will likely be (at least in part) informed by the theme around which you'd like to design your chatbot. If you're having trouble working out a data format, though, feel free to reach out, and we're more than happy to help brainstorm with you. - -We've deliberately left this problem open-ended, since we're excited to see where you choose to take this prompt. +The format for your data is up to you, and will likely be informed by the theme around which you'd like to design your chatbot. If you're having trouble working out a data format, though, feel free to reach out, and we're more than happy to help brainstorm with you. ### Submission From 9244474164b8986ce29d90c1c5e0d14c7d3f593b Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Sat, 27 Mar 2021 13:03:01 -0700 Subject: [PATCH 15/19] reword, infinite loop --- assign0/README.md | 17 ++++------------- 1 file changed, 4 insertions(+), 13 deletions(-) diff --git a/assign0/README.md b/assign0/README.md index 7c00aaa..c9849c9 100644 --- a/assign0/README.md +++ b/assign0/README.md @@ -159,15 +159,15 @@ In the third part of this assignment, you will implement a chatbot program which 1. *Ask the user for input and print out responses*. The program should read input from the console and, based on the input, print out some response. You don't have to respond immediately after every input; the program could keep asking questions, just as long as it responds eventually. 2. *Access stored data*. The program should access data stored in a text file over the course of its run, so that data from previous runs is accessible to users in future runs. -To give you an idea of the scope and complexity of what we expect from this part of the assignment, below are two examples of types of submissions which would fulfill the requirements of this component. +Beyond this, make it your own! Here are two examples that your course staff made previously: ### Example 1: The Doors of Destiny -A simple user authentication chatbot might take the role of a gatekeeper. The gatekeeper stops all travellers attempting to pass through the gate, and asks them for their name and passphrase. If the traveller provides a name and passphrase whch are contained in the gatekeeer's Book of Records, the traveller may proceed. If not, the traveller is denied entry. +This program is a simple user authentication chatbot who acts like a gatekeeper before the "Doors of Destiny". The gatekeeper stops all travellers attempting to pass through the gate, and asks them for their name and passphrase. If the traveller provides a name and passphrase whch are contained in the gatekeeer's Book of Records, the traveller may proceed. If not, the traveller is denied entry. Upon being asked for a name and passphrase, each traveller has two options: they may (a) provide a valid name and passphrase, or (b) bribe the guard - which allows them to add a new name and passphrase to the Book of Records - for a small fee. -A sample run for such a chatbot might appear as follows (user input is ***bolded and italicized***): +Here's what the chatbot looks like (user input is ***bolded and italicized***):
(cs41-env)$ python chatbot.py
 Halt! Welcome to the Doors of Destiny. 
@@ -178,7 +178,6 @@ What is your name, traveller? Michael
 What is your passphrase? parthsarin12345
 Welcome through, peaceful soul!
 
-(cs41-env)$ python chatbot.py
 Halt! Welcome to the Doors of Destiny. 
 Should you wish to proceed, you must identify yourself within the Book of Records. 
 
@@ -194,7 +193,6 @@ What is your name, then, traveller? Michael
 What is your passphrase? parthsarin12345
 Welcome through the Doors of Destiny! And it's been a pleasure doing business with you.
 
-(cs41-env)$ python chatbot.py
 Halt! Welcome to the Doors of Destiny. 
 Should you wish to proceed, you must identify yourself within the Book of Records. 
 
@@ -208,7 +206,7 @@ This chatbot is adorable and geeky! Feel free to bring your personality and pass
 
 ### Example 2: Simple Schedule
 
-Another example might be a Virtual Assistant chatbot, which allows users to schedule events (in which they would enter a time range, and a name for the event, which would be stored into a text file), and check whether an event was taking place at a given time. A sample run for such a system might appear as follows. (Note that this uses `MMDDYYYY` as an encoding scheme for dates, and that hours are represented as floating point numbers, so 14.5 means 2:30PM). Once again, user input is ***bolded and italicized***.
+This program is more like a virtual assistant (think Siri, Alexa, etc.), which allows users to schedule events and see their calendar. Here's a sample run for this program (note that this uses `MMDDYYYY` as an encoding scheme for dates, and that hours are represented as floating point numbers, so 14.5 means 2:30PM); once again, user input is ***bolded and italicized***:
 
 
(cs41-env)$ python chatbot.py
 Hello there, it's Hal, your friendly scheduling assistant! 
@@ -221,18 +219,11 @@ What is the end time? 16
 
 Successfully added the event to your day!
 
-(cs41-env)$ python chatbot.py
-Hello there, it's Hal, your friendly scheduling assistant! 
-
 Would you like to add a new event, or check an existing time slot? check
 On which day would you like to check for scheduled events? 03302021
 What time would you like to check for availability? 15
 At that time, you'll be busy with CS41 Lecture.
 
-
-(cs41-env)$ python chatbot.py
-Hello there, it's Hal, your friendly scheduling assistant! 
-
 Would you like to add a new event, or check an existing time slot? open the pod bay doors
 I'm sorry Dave, I'm afraid I can't let you do that.
 
From 69c85cb1ad47b46837f9b23e2d8c7fe9f9d95ca6 Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Sat, 27 Mar 2021 13:04:34 -0700 Subject: [PATCH 16/19] submit multiple files --- assign0/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/assign0/README.md b/assign0/README.md index c9849c9..bca5b5d 100644 --- a/assign0/README.md +++ b/assign0/README.md @@ -29,7 +29,7 @@ Follow our instructions for installing Python 3.9.2 and setting up a virtual env There are no starter files for this assignment. -You will create and submit three Python files, named `coconuts.py`, `cheese.py`, and `chatbot.py`, and two text files, named `data.txt` and `sampleruns.txt`. +You will create and submit three Python files, named `coconuts.py`, `cheese.py`, and `chatbot.py`, and some text files which store data for your chatbot. A reasonable starter file might look like: From 6235943058f7dd7119fb062cb34e635e89db10f2 Mon Sep 17 00:00:00 2001 From: cooper-mj Date: Sat, 27 Mar 2021 23:01:30 -0700 Subject: [PATCH 17/19] 'These chatbots', minor subtitle change for File I/O --- assign0/README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/assign0/README.md b/assign0/README.md index bca5b5d..bbb4012 100644 --- a/assign0/README.md +++ b/assign0/README.md @@ -202,8 +202,6 @@ What is your passphrase? cs41isacoolclass The passphrase you presented does not match our records! Guards - arrest this intruder!
-This chatbot is adorable and geeky! Feel free to bring your personality and passions to this part of the assignment. 😊 - ### Example 2: Simple Schedule This program is more like a virtual assistant (think Siri, Alexa, etc.), which allows users to schedule events and see their calendar. Here's a sample run for this program (note that this uses `MMDDYYYY` as an encoding scheme for dates, and that hours are represented as floating point numbers, so 14.5 means 2:30PM); once again, user input is ***bolded and italicized***: @@ -228,7 +226,9 @@ Would you like to add a new event, or check an existing time slot? open th I'm sorry Dave, I'm afraid I can't let you do that.
-### Example: File I/O +These chatbots are adorable and geeky! Feel free to bring your personality and passions to this part of the assignment. 😊 + +### File I/O and Data Formatting Note that with both of these examples, we've left the scheme you use to store data to the file open-ended. For example, the authentication system might have two files - `coins.txt` to keep track of the coin balance, and `data.txt` to track names and passphrases - that look like this: ``` From f0edd8a30c6726ecabb72ca539dba4608f57d644 Mon Sep 17 00:00:00 2001 From: Marco Pizarro Date: Sat, 3 Apr 2021 14:05:45 -0700 Subject: [PATCH 18/19] Updated Cheese Link Link For Cheese Video Since Other Is Not Available on Facebook --- assign0/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/assign0/README.md b/assign0/README.md index bbb4012..4759bb1 100644 --- a/assign0/README.md +++ b/assign0/README.md @@ -90,11 +90,11 @@ How many pounds of coconuts are there? 2.5 No. Carrying the coconuts is impossible.
-Submit the `coconuts.py` file, which should the code for this segment of the assignment. +Submit the `coconuts.py` file, which should be the code for this segment of the assignment. ## Part 2: The Cheese Shop -Before anything else, watch [this five-minute video](https://www.facebook.com/MontyPython/videos/567922730042254/) (cw: gun violence) on Facebook. The transcript can be found [here](http://www.montypython.net/scripts/cheese.php). +Before anything else, watch [this five-minute video](https://www.youtube.com/watch?v=Hz1JWzyvv8A) (cw: gun violence) on Facebook. The transcript can be found [here](http://www.montypython.net/scripts/cheese.php). In this part of the assignment, you will play the part of the Michael Palin, the owner of the National Cheese Emporium. From 5a4979909419efade2564c13fc80103dc884a142 Mon Sep 17 00:00:00 2001 From: Parth Sarin Date: Fri, 7 May 2021 12:55:20 -0700 Subject: [PATCH 19/19] shorter than it'll take michael to notice this commit

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a Dungeons and Dragons character based on some information that you provide to it. - -## Background - -Dungeons and Dragons is a role-playing adventure game that Parth happens to play and love (his character is a unicorn-bloodline sorceress... go figure). Each player creates a character that they'll play as during the course of the game. - -There are a lot of factors that go into character creation: you have to pick the correct stats for the character, the character needs a name and an alignment, etc. More often than not, players have a vision for their character that's designed around components of their personality, abilities, etc. rather than their stats. - -There are a few websites on the internet that'll help you build your character, like [OrcPub](https://orcpub2.com/pages/dnd/5e/newb-character-builder), but all of them require you to specify what we'd consider extranneous information about your character, rather than focusing on the things that interest you the most. - -We want to let a user supply a set of characteristics to include and exclude in their character - say, powers that they want their characters to have - and then we ask more questions that are needed, then build an entire character profile based on those characteristics. Hopefully, we can also use some machine learning techniques to generate new character profiles centered on the given specifications using a variant of k-nearest neighbors and a few hand-chosen heuristics. - - -## Implementation Strategy - -Our project falls into three major categories - scraping the data, interacting with the user, and computing the character profile to output to the user. - -First, we're going to scrape the [D&D 5e API](http://www.dnd5eapi.co/), which has all of the D&D information, collected from the Player's Handbook and Dungeon Master's Guide. We'll put all of the character, spell, and equipment information into a database so that we can efficiently query it later. For this part, we're going to rely extensively on the `requests` module discussed in class - and perhaps some of the multiprocessing primitives in the standard library to speed up the download. - -To interact with the user, we're going to have a simple text-based I/O system where the user enters character information one at a time and then signals when done. We'll then ask more questions (but only the *really* important ones) and output a bunch of potential characters for the user to choose from. - -To actually compute the best character profiles, we'll simply filter out all the characters that *don't* match the desired profile. Of the remaining options, we'll sort them on a combination of relevance to the original suggestions and based on self-computed heuristics about character effectiveness. We plan to use the awesome `pandas` library for better data manipulation of the character data in raw Python. - - -## Tasks - -1. Authenticate to the D&D 5e API -2. Download all of the character, class, race, spell, and equipment information into a database -3. Load the data into Python classes: `Character`, `Class`, `Race`, `Equipment`, `Spell` -4. Main loop that asks user for characteristics and returns character objects using the class interface -5. Match character specifications to classes, races, equipment, and spells -6. Sort remaining characteristics by a "good" heuristic (we'll need to try a lot of heuristics) -7. *(Stretch)* Use common descriptional substitutions and word misspellings for more flexible user input -8. *(Stretch)* Map the characters into a high-dimensional vector space and run clustering algorithms to find the best-matching character profiles -9. *(Stretch)* Use generative adversarial networks to generate images of the character's face. Currently I had to draw this myself: -

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z@l;~SiRW?eb3;nh<;PcUxc{s50GGkGeq594yhuc{4GJOJ^QP)dVBWZWT0Go?yw}$U znD)@w^o zBlX|Z3b>mv5NHa*hFoZvMLl!H=+0B=WTF`VortdPLHo5!z`)H{!BHp9mLPZ>lydCH z45eCt1JX9EB2PO;tP!3W&bXrwuUM%79`y8eZ^bWC4S?D|NW=6qR5}*qG&%ms$Hf2iLiMU5>zF+~I()#TLjKa5O44G|Vu7R~SL$Jic5F1#_0F$)he4 z_;U zj(w}mke`XohuaoAtC>-AEDNd@y!X#GoO>!%k8rs?4Gwc4J|2u*8@4uAk|D*pIkeF8V*n&KEf=8+GWmm|7 N%fW7^Z55Rj`!_XhOFsYr diff --git a/final-proj/README.md b/final-proj/README.md deleted file mode 100644 index 215b50f..0000000 --- a/final-proj/README.md +++ /dev/null @@ -1,95 +0,0 @@ -# Assignment 3: Final Project! - -## The Proposal - -*Due: Wednesday, Week 8 (February 26th) at 11:59:59 PM* - -