From b9c2a655c1218536f413b5c91236a4b221c32262 Mon Sep 17 00:00:00 2001 From: Louis Oliphant <ltoliphant@wisc.edu> Date: Tue, 28 Jan 2025 09:10:39 -0600 Subject: [PATCH] finished louis lec 04 variables --- .../04_Variables/Lec_04_Variables.ipynb | 666 +++++++++++++ .../Lec_04_Variables_Solution.ipynb | 876 ++++++++++++++++++ s25/Louis_Lecture_Notes/04_Variables/hello.py | 2 + 3 files changed, 1544 insertions(+) create mode 100644 s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables.ipynb create mode 100644 s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables_Solution.ipynb create mode 100644 s25/Louis_Lecture_Notes/04_Variables/hello.py diff --git a/s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables.ipynb b/s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables.ipynb new file mode 100644 index 0000000..fdbbcd9 --- /dev/null +++ b/s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables.ipynb @@ -0,0 +1,666 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Warmup" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Warmup 1\n", + "# Put the following in the correct order of operator precedence\n", + "\n", + "# comparison: ==, !=, <, <=, >, >=\n", + "# signs: +x, -x\n", + "# AND: and\n", + "# add/subtract: +, -\n", + "# exponents: **\n", + "# NOT: not\n", + "# OR: or\n", + "# multiply/divide: *, /, //, %\n", + "\n", + "# 1. \n", + "# 2. \n", + "# 3. \n", + "# 4. \n", + "# 5. \n", + "# 6.\n", + "# 7. \n", + "# 8. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Warmup 2\n", + "# What will be the output? Predict, then run the cell...\n", + "print(5 + 2 * 3) # WRITE YOUR PREDICTION HERE\n", + "print(-10 ** 2) # WRITE YOUR PREDICTION HERE\n", + "print(5 // 3) # WRITE YOUR PREDICTION HERE\n", + "print(5 % 3) # WRITE YOUR PREDICTION HERE\n", + "print (-5 // 3) # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Warmup 3\n", + "# What will be the output? Predict, then run the cell...\n", + "print(\"CS220 is fun!\" * 3) # WRITE YOUR PREDICTION HERE\n", + "print(\"Hello\\tWorld\") # WRITE YOUR PREDICTION HERE\n", + "print(3 + 4) # WRITE YOUR PREDICTION HERE\n", + "print(\"3\" + '4') # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Warmup 4\n", + "# What will be the output? Predict, then run the cell...\n", + "print(5 > 7) # WRITE YOUR PREDICTION HERE\n", + "print(not 12 <= 21) # WRITE YOUR PREDICTION HERE\n", + "print(1 > 2 or 3 < 4) # WRITE YOUR PREDICTION HERE\n", + "print(0 == 0 and 7 != 7.1) # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Warmup 5\n", + "# What will be the output? Predict, then run the cell...\n", + "print(\"Hello\" == \"World\") # WRITE YOUR PREDICTION HERE\n", + "print(\"Hello\" < \"Hi\") # WRITE YOUR PREDICTION HERE\n", + "print(\"H\" < \"W\") # WRITE YOUR PREDICTION HERE\n", + "print(\"h\" < \"W\") # WRITE YOUR PREDICTION HERE" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Reminder...\n", + "\n", + "- An **operator** is either mathematical (\\*, /, +, etc.,), string (+,\\*), comparison (==, <, etc.,), or logical (`not`, `and`, `or`).\n", + "- An **operand** is the data value that an operator operates on.\n", + " - **unary operators** of signs are applied on a single operand. \n", + " - **binary operators** are applied on two operands.\n", + "- An **expression** is the combination of **operator(s)** and **operand(s)**." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Variables and Expressions\n", + "\n", + "## Readings:\n", + "- [Chapter 2 of Think Python](https://greenteapress.com/thinkpython2/html/thinkpython2003.html)\n", + "- [Chapter 3 of Python for Everybody](https://runestone.academy/ns/books/published//py4e-int/debugging/toctree.html)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Learning Objectives\n", + "\n", + "After this lecture you will be able to...\n", + "\n", + "- State and use variable naming rules\n", + "- Write assignment statements\n", + "- Identify in expressions:\n", + " - operators and operands\n", + " - literal values and variables\n", + " - order of operations\n", + " - short circuiting in Boolean expressions\n", + " - Correct and Incorrect usage of Boolean operators\n", + "- Define and give examples of 3 kinds of errors\n", + " - Syntax error\n", + " - Runtime error\n", + " - Semantic\n", + "- Use JupyterLab features:\n", + " - shortcuts (SHIFT+ENTER, ESC+A, ESC+B, ESC+L, CTRL(CMD)+/)\n", + " - View Kernel state (variables) using debugger\n", + " - 3 Ways of running Python code (Notebook, Python Console, Terminal)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# What will be the output? Predict, then run the cell...\n", + "print(1 == 1 or (8/0) == -12) # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Short Circuiting in Boolean Expressions\n", + "\n", + "- Logical operators are read left-to-right\n", + "- If one of the operands in an OR statement is `True`, the entire expression is `True`.\n", + "- Likewise, if one of the oerands in an AND statement is `False`, the entire expression is `False`.\n", + "- Python doesn't waste time with Boolean expressions -- as soon as Python determines what the answer, the remainder of the expression will not be evaluated.\n", + "\n", + "Look closely at the following expressions and see if you know what it will evaluate to. Then enter each expression in the cell below and see if you are correct.\n", + "\n", + "```python\n", + "\n", + "1 + 1 == 2 or 1 / 0 == -100\n", + "\n", + "0 + 0 == 1 and 1 / 0 == -100\n", + "\n", + "1 / 0 == -100 and 0 + 0 == 1\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# TODO -- Enter your code here\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## BE AWARE: Correct vs. Incorrect way of writing Boolean expressions\n", + "\n", + "You should only us Boolean values with logical operators (`and`, `or`, `not`)!\n", + "\n", + "Take a look at the following code to see if 6 is greater than both 1 and 2." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# How to say is 6 greater than 1 and 2?\n", + "print(6 > 1 and 2) # What?\n", + "print(6 > 1 and 6 > 2) # Correct" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Variables\n", + "`10`, `22.0`, `\"hello\"`, `'goodbye'`, `True`, `False`... are known as **literal values**.\n", + "\n", + "However, variables *vary* over time. They are assigned using the `=` operator. The left hand side must be a variable, and the right hand side must be an expression!\n", + "\n", + "Variables look like... `x`, `player_score`, `my_cool_name`, `some_thing`... You can name them almost whatever you like. **You can use letters, numbers, and the underscore character when creating variable names, but the variable cannot start with a number. You also cannot use any Python keyword (e.g. False, and, etc.).**\n", + "\n", + "Variable names should be meaningful. It is better to name a variable `name` than to name it `n` because a good variable name gives you information about the content of the variable. \n", + "\n", + "Here are a few good variable names:\n", + "\n", + "* `cs220`\n", + "* `CS220` (Variables are CaSe SenSiTivE -- If they have different case letters then they are not the same variable)\n", + "* `cs_220`\n", + "* `_cs220`\n", + "\n", + "Here are a few improper variable names:\n", + "\n", + "* `220class` -- Begins with a number so can't be a variable name\n", + "* `and` -- A Python keyword so can't be a variable name\n", + "* `pi3.14` -- Contains a period so can't be a variable name\n", + "* `x!` -- Contains an exclamation so can't be a variable name" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# We create a variable called \"x\" and assign it the value 1.5.\n", + "x = 1.5\n", + "\n", + "# We create a new variable called \"y\" and assign the value of x * 3 to it.\n", + "y = x * 3\n", + "\n", + "# We print the values of x, y, and x + y. What do you think these will be?\n", + "print(x)\n", + "print(y)\n", + "print(x + y)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Notice how we give meaningful variable names!\n", + "# It would be confusing to have variable names such as v, w, x, y, and z.\n", + "\n", + "percent_burn = 0.25\n", + "sheets_of_cookie_dough = 5\n", + "\n", + "all_cookies = sheets_of_cookie_dough * 12\n", + "burned_cookies = all_cookies * percent_burn\n", + "good_cookies = all_cookies - burned_cookies\n", + "\n", + "print('All Cookies')\n", + "print(all_cookies)\n", + "print()\n", + "\n", + "print('Burned Cookies')\n", + "print(burned_cookies)\n", + "print()\n", + "\n", + "print('Good Cookies')\n", + "print(good_cookies)\n", + "print()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## You try!\n", + "Try to complete these problems on your own or with someone sitting next to you." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "hours = 40\n", + "pay_rate = 10.50\n", + "\n", + "# Uncomment the line below and complete the paycheck calculation!\n", + "# paycheck = \n", + "\n", + "print(paycheck)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "student_age = 19\n", + "\n", + "# Create a variable called old_enough_to_vote.\n", + "# If the student's age is >= 18, the value of this variable should be True.\n", + "# If the student's age is < 18, the value of this variable should be False.\n", + "\n", + "# Write your code here...\n", + "\n", + "print(old_enough_to_vote)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Calculate the compound growth of the principal using the given interest rate over the given time of years\n", + "# and assign it to a variable called final_amount.\n", + "# Recall the formula for compound interest is principal*(1+rate)^time\n", + "principal = 1000\n", + "rate = 0.07\n", + "time = 30\n", + "\n", + "# Write your code here...\n", + "\n", + "print(final_amount)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### \"Syntactic Sugar\" Shortcuts: \n", + "Quick ways to write code! `+=`, `-=`, `*=`, `/=`, etc." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "x = 2\n", + "x += 3 # sames as x = x + 3\n", + "print(x)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "x = 8\n", + "x -= 1 # sames as x = x - 1\n", + "print(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "| Error Type | Definition | Example |\n", + "| :- | :- | :- |\n", + "| Syntax Error | word soup, not grammatically sensible | `5 = x` |\n", + "| Runtime Error | need to run the program to encounter | `x = 5 / 0` |\n", + "| Semantic Error | runs but produces the wrong answer | `square_area = square_side * 2` |" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Bob runs a community bakery. Every day, he recieves a shipment of dough balls, each of which bakes 4 loaves of bread, and he evenly splits the bread among his customers. Some days he may recieve 10 customers, some days 20 customers, and some days none at all! Below is the code that tells Bob how much bread he gave to each customer.\n", + "\n", + "Identify and correct a syntactic error, a runtime error, and a semantic error in his code." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# These two variables can change based on the day!\n", + "balls_of_dough = 20\n", + "num_customers = 15\n", + "\n", + "balls_of_dough * 2 = bread_baked\n", + "bread_per_customer = bread_baked / num_customers\n", + "\n", + "print('Customer\\'s loaves of bread:')\n", + "print(bread_per_customer)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Miscellaneous\n", + "Some other things that are good to know!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# The len function finds the length of some thing, if it has a length\n", + "name = 'Sam'\n", + "print(len(\"Stevie\"))\n", + "print(len(name))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Using this len function, we can align strings more easily!\n", + "player1_name = 'Alice'\n", + "player2_name = 'bob'\n", + "\n", + "player1_score = 10\n", + "player2_score = 8\n", + "\n", + "#Scores are difficult to compare\n", + "print(player1_name + ': ' + '|' * player1_score)\n", + "print(player2_name + ': ' + '|' * player2_score)\n", + "\n", + "#Assuming name has a maximum of 9 characters\n", + "#Now scores are easier to read and compare\n", + "print(player1_name + ': ' + \" \" * (9 - len(player1_name)) + '|' * player1_score)\n", + "print(player2_name + ': ' + \" \" * (9 - len(player2_name)) + '|' * player2_score)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## JupyterLab Features\n", + "\n" + ] + }, + { + "attachments": { + "5855ba66-52da-42fb-b147-19fe874fd36b.png": { + "image/png": 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" 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are several shortcuts that will speed up your programming:\n", + "\n", + "### Nice Shortcuts\n", + "* SHIFT + ENTER = cell execution (= Run)\n", + "* ESC + A = add a cell above the current cell\n", + "* ESC + B = add a cell below the current cell\n", + "* ESC + L = toggle the line numbers\n", + "* CTRL + / = toggle comment(s) (that is, adds/removes #)\n", + "* CTRL + s = save\n", + "\n", + "### Viewing Kernel State\n", + "\n", + "JupyterLab now has a debugger which can help you find and fix errors in your code. The **kernel** is the program that runs your Python code. It remembers the variables you have created. You can see and control how the kernel is doing by looking at the top bar in your Jupyter notebook:\n", + "\n", + "\n", + "\n", + "In our notebook it is running the *Python 3 (ipykernel)*. The circle to the side will become filled in as it is executing your code:\n", + "\n", + "\n", + "\n", + "If the kernel ever gets stuck, you can click the stop button which will interrupt the kernel. Clicking the bug icon will turn on the debugger and open the debugger right sidepanel.\n", + "\n", + "\n", + "\n", + "The top portion within the sidepanel will show you the variables that the kernel currently has. Try creating variables in the cell below and see them appear in this variables section\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "## TODO -- enter your code here\n", + "\n", + "my_pi = 3.14\n", + "my_name = \"Louis\"\n", + "my_class = \"CS220\"" + ] + }, + { + "attachments": { + "5bd66be3-0525-4974-8ea4-e11b4ec509ee.png": { + "image/png": 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" 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" 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" 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" 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" 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ways of Running Python\n", + "\n", + "Within JupyterLab you have three ways of running Python code -- Using a Python notebook, a Python console, or in a terminal. Let's practice each of these.\n", + "\n", + "#### Python Notebooks\n", + "\n", + "When you open a Python notebook, a Python kernel is started where all of the code in that notebook will run. You can see a list of running kernels in the left sidepanel under the second icon, kernels and terminals. You can use that list to shut down a kernel.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " If you shut down the kernel for the notebook by hovering your mouse pointer over the kernel and clicking its close X, the kernel icon for the notebook in the bar at the top of the notebook will turn to a lightning bolt and it will say \"No Kernel\" is running. You can restart the kernel by clicking on the \"No Kernel\" and selecting Python3 kernel.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "#### Python Console\n", + "\n", + "Another way you can run Python is by starting up a Python console. You can either use the \"Launcher\" tab and click on the \"console\" option, or on the menu bar click File -> New -> Console. A console has a single cell at the bottom. You can type as much code as you like into the cell and execute it by typing `shift-enter`. The code will appear at the top of the console with the output from the code appearing directly underneath and the cell will be cleared for you to enter more code.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "One nice thing about the console is it remembers what you typed. You can use the up and down arrows to cycle through the content you have typed. This is a nice place to practice writing code and working out what you code you want before you enter it into some other place like a notebook.\n", + "\n", + "To shut down a console you need to not only close the tab but also click to open the kernel sidepanel and click to shutdown the kernel associated with the console.\n", + "\n", + "#### Terminal\n", + "\n", + "You can open a terminal by clicking in the launcher on \"Terminal\" or on the menu bar click File -> New -> Terminal. A terminal window is where you can enter commands that are carried out by your operating system and is different on different operating systems. The terminal is not running Python and does not accept Python code. However, recall that when you installed Anaconda one of the programs that was installed was Python. You can tell the OS to start up Python in this terminal and you can give the Python program a file that contains Python code, called a script. Python script files typically have a `.py` file extension. Python will execute the code in this script and then exit. If you downloaded the `hello.py` file and placed it in the same directory along with this notebook, then you should be able to type the following in a terminal and see the script run.\n", + "\n", + "```\n", + "python hello.py\n", + "```\n", + "\n", + "Here is what I see when I run the script and enter my name:\n", + "\n", + "\n", + "\n", + "We won't be writing scripts this semester, but it is a common way to write Python programs. You can close a terminal by closing its tab or typing the `exit` command." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Summary\n", + "\n", + "In this lecture you practiced creating expressions, especially Boolean expressions with **short circuiting**, learned the rules for **variable names** and how to write an **assignment statement**. You should now be able to identify the three categories of programming **errors** (syntax, runtime, and semantic)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extra Practice" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Given the number of seconds, compute the number of hours, minutes, and seconds.\n", + "# e.g. if seconds is 65, the correct output (with \\n in-between) is 0 1 5\n", + "# e.g. if seconds is 192, the correct output (with \\n in-between) is 0 3 12\n", + "# e.g. if seconds is 3739, the correct output (with \\n in-between) is 1 2 19\n", + "\n", + "seconds = 3739\n", + "\n", + "# We know we'll have to create 2 more variables, hours and minutes." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables_Solution.ipynb b/s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables_Solution.ipynb new file mode 100644 index 0000000..82097c5 --- /dev/null +++ b/s25/Louis_Lecture_Notes/04_Variables/Lec_04_Variables_Solution.ipynb @@ -0,0 +1,876 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Warmup" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Warmup 1\n", + "# Put the following in the correct order of operator precedence\n", + "\n", + "# comparison: ==, !=, <, <=, >, >=\n", + "# signs: +x, -x\n", + "# AND: and\n", + "# add/subtract: +, -\n", + "# exponents: **\n", + "# NOT: not\n", + "# OR: or\n", + "# multiply/divide: *, /, //, %\n", + "\n", + "# 1. **\n", + "# 2. +, - (unary)\n", + "# 3. *,/,//,%\n", + "# 4. +, - (add subtract)\n", + "# 5. ==, !=, <, <=, >, >=\n", + "# 6. not\n", + "# 7. and\n", + "# 8. or" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "11\n", + "-100\n", + "1\n", + "2\n", + "-2\n" + ] + } + ], + "source": [ + "# Warmup 2\n", + "# What will be the output? Predict, then run the cell...\n", + "print(5 + 2 * 3) # WRITE YOUR PREDICTION HERE\n", + "print(-10 ** 2) # WRITE YOUR PREDICTION HERE\n", + "print(5 // 3) # WRITE YOUR PREDICTION HERE\n", + "print(5 % 3) # WRITE YOUR PREDICTION HERE\n", + "print (-5 // 3) # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CS220 is fun!CS220 is fun!CS220 is fun!\n", + "Hello\tWorld\n", + "7\n", + "34\n" + ] + } + ], + "source": [ + "# Warmup 3\n", + "# What will be the output? Predict, then run the cell...\n", + "print(\"CS220 is fun!\" * 3) # WRITE YOUR PREDICTION HERE\n", + "print(\"Hello\\tWorld\") # WRITE YOUR PREDICTION HERE\n", + "print(3 + 4) # WRITE YOUR PREDICTION HERE\n", + "print(\"3\" + '4') # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "False\n", + "False\n", + "True\n", + "True\n" + ] + } + ], + "source": [ + "# Warmup 4\n", + "# What will be the output? Predict, then run the cell...\n", + "print(5 > 7) # WRITE YOUR PREDICTION HERE\n", + "print(not 12 <= 21) # WRITE YOUR PREDICTION HERE\n", + "print(1 > 2 or 3 < 4) # WRITE YOUR PREDICTION HERE\n", + "print(0 == 0 and 7 != 7.1) # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "False\n", + "True\n", + "True\n", + "False\n" + ] + } + ], + "source": [ + "# Warmup 5\n", + "# What will be the output? Predict, then run the cell...\n", + "print(\"Hello\" == \"World\") # WRITE YOUR PREDICTION HERE\n", + "print(\"Hello\" < \"Hi\") # WRITE YOUR PREDICTION HERE\n", + "print(\"H\" < \"W\") # WRITE YOUR PREDICTION HERE\n", + "print(\"h\" < \"W\") # WRITE YOUR PREDICTION HERE" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Reminder...\n", + "\n", + "- An **operator** is either mathematical (\\*, /, +, etc.,), string (+,\\*), comparison (==, <, etc.,), or logical (`not`, `and`, `or`).\n", + "- An **operand** is the data value that an operator operates on.\n", + " - **unary operators** of signs are applied on a single operand. \n", + " - **binary operators** are applied on two operands.\n", + "- An **expression** is the combination of **operator(s)** and **operand(s)**." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Variables and Expressions\n", + "\n", + "## Readings:\n", + "- Chapter 2 of Think Python, \n", + "- [Chapter 3 of Python for Everybody](https://runestone.academy/ns/books/published//py4e-int/debugging/toctree.html)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Learning Objectives\n", + "\n", + "After this lecture you will be able to...\n", + "\n", + "- State and use variable naming rules\n", + "- Write assignment statements\n", + "- Identify in expressions:\n", + " - operators and operands\n", + " - literal values and variables\n", + " - order of operations\n", + " - short circuiting in Boolean expressions\n", + " - Incorrect usage of Boolean operators\n", + "- Define and give examples of 3 kinds of errors\n", + " - Syntax error\n", + " - Runtime error\n", + " - Semantic\n", + "- Use JupyterLab features:\n", + " - shortcuts (SHIFT+ENTER, ESC+A, ESC+B, ESC+L, CTRL(CMD)+/)\n", + " - View Kernel state (variables) using debugger\n", + " - 3 Ways of running Python code (Notebook, Python Console, Terminal)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True\n" + ] + } + ], + "source": [ + "# What will be the output? Predict, then run the cell...\n", + "print(1 == 1 or (8/0) == -12) # WRITE YOUR PREDICTION HERE" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Short Circuiting in Boolean Expressions\n", + "\n", + "- Logical operators are read left-to-right\n", + "- If one of the operands in an OR statement is `True`, the entire expression is `True`.\n", + "- Likewise, if one of the oerands in an AND statement is `False`, the entire expression is `False`.\n", + "- Python doesn't waste time with Boolean expressions -- as soon as Python determines what the answer, the remainder of the expression will not be evaluated.\n", + "\n", + "Look closely at the following expressions and see if you know what it will evaluate to. Then enter each expression in the cell below and see if you are correct.\n", + "\n", + "```python\n", + "\n", + "1 + 1 == 2 or 1 / 0 == -100\n", + "\n", + "0 + 0 == 1 and 1 / 0 == -100\n", + "\n", + "1 / 0 == -100 and 0 + 0 == 1\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "ename": "ZeroDivisionError", + "evalue": "division by zero", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_682234/2606965674.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# TODO -- Enter your code here\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;36m1\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m-\u001b[0m\u001b[0;36m100\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mZeroDivisionError\u001b[0m: division by zero" + ] + } + ], + "source": [ + "# TODO -- Enter your code here\n", + "1 / 0 == -100 and 0 + 0 == 1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## BE AWARE: Correct vs. Incorrect way of writing Boolean expressions\n", + "\n", + "You should only us Boolean values with logical operators (`and`, `or`, `not`)!\n", + "\n", + "Take a look at the following code to see if 6 is greater than both 1 and 2." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2\n", + "True\n" + ] + } + ], + "source": [ + "# How to say is 6 greater than 1 and 2?\n", + "print(6 > 1 and 2) # What?\n", + "print(6 > 1 and 6 > 2) # Correct" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Variables\n", + "`10`, `22.0`, `\"hello\"`, `'goodbye'`, `True`, `False`... are known as **literal values**.\n", + "\n", + "However, variables *vary* over time. They are assigned using the `=` operator. The left hand side must be a variable, and the right hand side must be an expression!\n", + "\n", + "Variables look like... `x`, `player_score`, `my_cool_name`, `some_thing`... You can name them almost whatever you like. **You can use letters, numbers, and the underscore character when creating variable names, but the variable cannot start with a number. You also cannot use any Python keyword (e.g. False, and, etc.).**\n", + "\n", + "Variable names should be meaningful. It is better to name a variable `name` than to name it `n` because a good variable name gives you information about the content of the variable. \n", + "\n", + "Here are a few good variable names:\n", + "\n", + "* `cs220`\n", + "* `CS220` (Variables are CaSe SenSiTivE -- If they have different case letters then they are not the same variable)\n", + "* `cs_220`\n", + "* `_cs220`\n", + "\n", + "Here are a few improper variable names:\n", + "\n", + "* `220class` -- Begins with a number so can't be a variable name\n", + "* `and` -- A Python keyword so can't be a variable name\n", + "* `pi3.14` -- Contains a period so can't be a variable name\n", + "* `x!` -- Contains an exclamation so can't be a variable name" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.5\n", + "4.5\n", + "6.0\n" + ] + } + ], + "source": [ + "# We create a variable called \"x\" and assign it the value 1.5.\n", + "x = 1.5\n", + "\n", + "# We create a new variable called \"y\" and assign the value of x * 3 to it.\n", + "y = x * 3\n", + "\n", + "# We print the values of x, y, and x + y. What do you think these will be?\n", + "print(x)\n", + "print(y)\n", + "print(x + y)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "All Cookies\n", + "60\n", + "\n", + "Burned Cookies\n", + "15.0\n", + "\n", + "Good Cookies\n", + "45.0\n", + "\n" + ] + } + ], + "source": [ + "# Notice how we give meaningful variable names!\n", + "# It would be confusing to have variable names such as v, w, x, y, and z.\n", + "\n", + "percent_burn = 0.25\n", + "sheets_of_cookie_dough = 5\n", + "\n", + "all_cookies = sheets_of_cookie_dough * 12\n", + "burned_cookies = all_cookies * percent_burn\n", + "good_cookies = all_cookies - burned_cookies\n", + "\n", + "print('All Cookies')\n", + "print(all_cookies)\n", + "print()\n", + "\n", + "print('Burned Cookies')\n", + "print(burned_cookies)\n", + "print()\n", + "\n", + "print('Good Cookies')\n", + "print(good_cookies)\n", + "print()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## You try!\n", + "Try to complete these problems on your own or with someone sitting next to you." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "420.0\n" + ] + } + ], + "source": [ + "hours = 40\n", + "pay_rate = 10.50\n", + "\n", + "# Uncomment the line below and complete the paycheck calculation!\n", + "paycheck = hours * pay_rate \n", + "\n", + "print(paycheck)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True\n" + ] + } + ], + "source": [ + "student_age = 19\n", + "\n", + "# Create a variable called old_enough_to_vote.\n", + "# If the student's age is >= 18, the value of this variable should be True.\n", + "# If the student's age is < 18, the value of this variable should be False.\n", + "\n", + "# Write your code here...\n", + "old_enough_to_vote = student_age >= 18\n", + "\n", + "print(old_enough_to_vote)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7612.255042662042\n" + ] + } + ], + "source": [ + "# Calculate the compound growth of the principal using the given interest rate over the given time of years\n", + "# and assign it to a variable called final_amount.\n", + "# Recall the formula for compound interest is principal*(1+rate)^time\n", + "principal = 1000\n", + "rate = 0.07\n", + "time = 30\n", + "\n", + "# Write your code here...\n", + "final_amount = principal*(1 + rate)**time\n", + "\n", + "print(final_amount)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### \"Syntactic Sugar\" Shortcuts: \n", + "Quick ways to write code! `+=`, `-=`, `*=`, `/=`, etc." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n" + ] + } + ], + "source": [ + "x = 2\n", + "x += 3 # sames as x = x + 3\n", + "print(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7\n" + ] + } + ], + "source": [ + "x = 8\n", + "x -= 1 # sames as x = x - 1\n", + "print(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "| Error Type | Definition | Example |\n", + "| :- | :- | :- |\n", + "| Syntax Error | word soup, not grammatically sensible | `5 = x` |\n", + "| Runtime Error | need to run the program to encounter | `x = 5 / 0` |\n", + "| Semantic Error | runs but produces the wrong answer | `square_area = square_side * 2` |" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Bob runs a community bakery. Every day, he recieves a shipment of dough balls, each of which bakes 4 loaves of bread, and he evenly splits the bread among his customers. Some days he may recieve 10 customers, some days 20 customers, and some days none at all! Below is the code that tells Bob how much bread he gave to each customer.\n", + "\n", + "Identify and correct a syntactic error, a runtime error, and a semantic error in his code." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Customer's loaves of bread:\n", + "5.333333333333333\n" + ] + } + ], + "source": [ + "# These two variables can change based on the day!\n", + "balls_of_dough = 20\n", + "num_customers = 15\n", + "\n", + "# There was a syntax and semantic error here!\n", + "# bread_baked has to be on the left hand side. (syntax)\n", + "# One doughball produces 4 loaves of bread, not 2 (semantics)\n", + "bread_baked = balls_of_dough * 4\n", + "\n", + "# This can run into a runtime error if num_customers is 0!\n", + "# In the future, we'll learn how to use an if statement\n", + "# to avoid this.\n", + "bread_per_customer = bread_baked / num_customers\n", + "\n", + "print('Customer\\'s loaves of bread:')\n", + "print(bread_per_customer)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Miscellaneous\n", + "Some other things that are good to know!" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6\n", + "3\n" + ] + } + ], + "source": [ + "# The len function finds the length of some thing, if it has a length\n", + "name = 'Sam'\n", + "print(len(\"Stevie\"))\n", + "print(len(name))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice: ||||||||||\n", + "bob: ||||||||\n", + "Alice: ||||||||||\n", + "bob: ||||||||\n" + ] + } + ], + "source": [ + "# Using this len function, we can align strings more easily!\n", + "player1_name = 'Alice'\n", + "player2_name = 'bob'\n", + "\n", + "player1_score = 10\n", + "player2_score = 8\n", + "\n", + "#Scores are difficult to compare\n", + "print(player1_name + ': ' + '|' * player1_score)\n", + "print(player2_name + ': ' + '|' * player2_score)\n", + "\n", + "#Assuming name has a maximum of 9 characters\n", + "#Now scores are easier to read and compare\n", + "print(player1_name + ': ' + \" \" * (9 - len(player1_name)) + '|' * player1_score)\n", + "print(player2_name + ': ' + \" \" * (9 - len(player2_name)) + '|' * player2_score)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Jupyter Features\n", + "\n" + ] + }, + { + "attachments": { + 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" 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are several shortcuts that will speed up your programming:\n", + "\n", + "### Nice Shortcuts\n", + "* SHIFT + ENTER = cell execution (= Run)\n", + "* ESC + A = add a cell above the current cell\n", + "* ESC + B = add a cell below the current cell\n", + "* ESC + L = toggle the line numbers\n", + "* CTRL + / = toggle comment(s) (that is, adds/removes #)\n", + "* CTRL + s = save\n", + "\n", + "### Viewing Kernel State\n", + "\n", + "JupyterLab now has a debugger which can help you find and fix errors in your code. The **kernel** is the program that runs your Python code. It remembers the variables you have created. You can see and control how the kernel is doing by looking at the top bar in your Jupyter notebook:\n", + "\n", + "\n", + "\n", + "In our notebook it is running the *Python 3 (ipykernel)*. The circle to the side will become filled in as it is executing your code:\n", + "\n", + "\n", + "\n", + "If the kernel ever gets stuck, you can click the stop button which will interrupt the kernel. Clicking the bug icon will turn on the debugger and open the debugger right sidepanel.\n", + "\n", + "\n", + "\n", + "The top portion within the sidepanel will show you the variables that the kernel currently has. Try creating variables in the cell below and see them appear in this variables section\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "## TODO -- enter your code here\n", + "\n", + "my_pi = 3.14\n", + "my_name = \"Louis\"\n", + "my_class = \"CS220\"" + ] + }, + { + "attachments": { + "5bd66be3-0525-4974-8ea4-e11b4ec509ee.png": { + "image/png": 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" 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" 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" 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" 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/jtbj8lu4PrI9cbzbVrD+H1n8eE5/R4p+Dr7vRr1xBpYwwOvG7Y/AYgHXqyWU1ngwT50CR92BoAqib31NH/JB5H45m+jZ0UTbosl0QNpTy8iYAIxP4q7YRmoqWzfg49VU1keSlhLCcQM1ngWZkahhCuakW7mu5QjuYwAe6nbWY7kjh6QJQJiJpPsysPy+ttO3H7NuJ7l1CGyxRRLu8eAJet/fRNJTW3nztQo2PpVDRlo8Z/q7hUZDOwnKuDF4djkor9qNR1FQ0PCdDGJxv4am1VO5y0zha3s4sON5kv+2nrzlNUHv2oEPvw9UtadgDcc8yYRitjBRmYj5SgXzxIn4vF40QLkpg6zbIjGNBRQzSXfEEe520xDCMZXI5FQiFQAzUdPNeI4eCX7hM/LjOwmK0uE9KQpqh/Xq37mFurEZFH7PjkkBwlSiUuICH+aB1FRP6Y82wf3LyLmm9bkTNax4zktGQQamfr6ed+tSiuvt/HhxEirASQ0NlTFKI86tDhy7jsC/KSgnte7HNXvqWxDTR/evy4PP8u01bH4oEiVM6bJhK9jnJaMVVuJ8NIqJ26pxTUtjTQj7xmPGqqin14CiBL69W4AWP41/AZMpvH1mUwQm/DR2+DQqYxU6ZUdLD3+YXiiqiklVMWUuxL1gLkvGv8m6ef39NlNQxoF2spmoR7dz4FGgoRwNhfBgBlyKgoJCfGZWazBGknWXnbXLduNqScIe1EYejhoOfv8Z1kYYgS1v9BgUQBkNtBBYd5/VsPZnm6h5vyHwWPPRqCWHsF4V1LFjOjwCTgXa7t94U2XMOPBpHVrSNDQUIsYFHjZ6vWhfM2MezJsnN7koW7SY6mtXsXFxVGtP/NQ9XUJD2vOsmdS/5r07i8j+mZ+c0nWknv4sjVNQ8NN8ysJDm/eQA2hbt6CNC++8TnvsW3DTh/yICEXFNF7t8dtVmZVBqlJNZZ2Lqrfc2Ocl0+1j3LqRhyRMJeIy8Hp97c95G/GiEjE4x15RRvs56BqAw55hZq6+UsHtbmj78GpuF25lCpYrg1jeZMbc03sMaR2qRF5jxuM+ElIwg4fywiXUXbGIzdXv8E7tO7zzXAYRIbUxSMImYpkER452+Bt99glHsLSt1wiTCeVPfYyK+xNSTS7KFj1I5deXsfGpuPZtvcXDvvfd1D+b2HqWOZGSDzScy2Kx5lYFPZL17iwie7mHtNJ1ZF3X4fNmsmBRG3EfaW/J/dERuNLSPto7U9/66nuroR9EvQmLJC3NTPV/FVB5LJ67ejhDE3GpinbU1fO+7BmZscdG4n69jLrjQIuXmpccuKfFYw/pbETPtL0OSt9w4j7uR/N7qa8oocypMj2q826lf1sBicnZlB3uoZEW0LTACEw7paG1feJV4lLiYPt6yg9q0OSifFMtY267HfvYjsu7KF2QSMoTNZ3DQrGTlhhO7eZyXH6gyY2jwoly8+yQTsNHfjOJiP21OENJohYN7e9gslgCuzYtXmocNQN/VqqpnvJlRZTuDOXcu5mkb0XRWLUexxEN/G4cZVU0zkomrnWbUG+7i7gmB8UvOvFqQIsf17a6ztteeATql27coZ72b3JR9sCDOCYU8vzjdlStw988LJL86k/59NPT/7aTf4OCvegdDq1LJZjvTm9NAZnLPKT9bA1ZUwLbVtuXT1gUaXMicJavp/4EaJ85WL+1EXtq6xd/b30LZjrDPYgAS0oakUddaLeldf6gtTLNWUROeCWZs6OJjUmhOMhr4Cz3r2ZVnIfiNBvWGXMp+WMcq1blMCBXroT5+aSiiMxvRWObEUPuCx6iCtbx5Jwum0xTI54jDfi6fZg9lC2wYrUmUrJXw7U6Bau1/boRNelJ1t2vUpkTjXV2NpUXL2T143FdNkgNn8eN+89ddycV7I8+z6LLq3kw3obtG5k4lAWs+UlSUBt0m+kZZF3p5Fc7Q7iAKcxCVsFClJcyScnIJPO7S9lnmt6+zltclC1IJDY+ltxXPXi35hEbH0vs/JLQrss56ab21XKqD/r6nrcD871rWDPHT9k9NqyzMylrSmVNcRZth6/HJ7Hq5/lY3itibrQN2+wUinY2dm7kugwWpfopTYsmNiaWzHVBnjWrL2e904P71VxirYHrz6xWK+kvDkRMe6jcVIm7oY7i+ba2tifPKqCuBUAh6pHVFF7pZHG8FVtGGdqd61iVbgqub0H0fZTP59P37t17xi7eeuutA/BGB1FTDXnxJUSUbqfwJqM7IzrS9peQ/vQYVv7ioUG5qPFsaXUFxOR5WPTmZrIGYIQr+m/IH6zunYb71U3UTUijYrrRfRFdKdPz2eowuhfduX5bT8S3V5IhITRkDN8g8jrInVuEU7Wz6JmcgT9FKs5bUQXb2Wp0J0QnwzeITBms25NhdC+EEANg2B+sFkIMfxJEQgjDSRAJIQwnQSSEMJwE0Qh2VlUOtRpybSmU9nS1t+isroDo1rI0HUl1yc48m3OHahD5qcrtUJ2xy7/EZ4O8GvUc8FdkYwvh9zxDyeBVOQzUBcqu6GWtHCkjffbpK3cHXt1j0WRuPCcly0LW23rvd0XRQV6v/dJST3FCIiUfdH7anLluqJ6+V0lde4ikUxrgp3JRDKWTNrL90ShACfxaW/SbaXoqcgHEuSfrvbshOiICwgK1X9rrvyitjwPT+qrQiL+K7OsTyX0il8yMdFKSU8heXdepcJm3rpTctFhs19uITsim+Aw1gM+OhqemJNC+zUZ0TAq5G+vbftfl/6CcgozANFt8OgWbXe2jqroComOyKcjPJD0jncS5mRRt87S1W5MfTezy+g6/EdNwPhFLbGFd23OejenYFpZS9V+5pM9NJDEmtq0aYO9VDoHPqijKDPQtNrOIkvzuuxKNu0rITrBhvT6a9Cfaf5hatzyFxIR01tb7cT6bEqiMmVzUVnDOcC1enC/mkR4fHXh/c7Mp2dVh5PZBCYkz8ijfWkx2WiKJ8bEkLjpdDtZP/ca8QC3v6wPrxnG4wy/1mlyU56cTbQtsTyW7Gjv9jq+39R5MRVH/B+XkzY/F1rH644Ctl94rkgb2UmykP1tFWX4mKcmJIf12s08+n0/fuXPnGf8Zz6dvyZmqxzy1r/PTX1bqD8yaq//0/dNPNOpbcqbpc5//pHWxSv27U6/SE57arft0XddP7tNXfGuW/kBVo67rut78/k/1uVFz9aVvfa4367rue2+tfs+s+fp6d2i9az66W6/8zefdn9+9Qk+Imq+v+HWgfd33iV5d/WHg/ydr9SXfmKV/d8OHuk/Xdd/76/V7ZsXoS2ubAwvXLtGnWWL0h99q7evH6/V7Zt2jbzra2vZvluox31iq726dXT9Zqy+xx+gr2p7Q9c83zNenRiboD//ik8Br6j7986O+Tn3c93SCPuvx3V16/rm+/p5pesJPavXGU7re7Fqv3xN1Vft8zdX6A5FT9ZhHtuifnAz07btRMfrSTs006puypunf/aVPP6OTn+i1Vfv0xjPP0S+Nuyv12o+buz3/4fPz9WlJS/TKjwN9az5aq1fv7tCL93+qJ0ydps99vFr/vHVx39HA3/Dzl+7Rp33zYX2Ly6frerP+yUvf1WclrdD3Neu6rjfr+55O0Kfd+VN9n0/X9S936ytSp+pXJf1U//BU5z70vN5b+/ezufq0R2t7mPK5vv7Oqfr851q3oeZG/cPdH3Zff2e5Xj/fcI8+LWmpXn1M1/VTjXr14wn6tHvW6+1btk+vfGCqPvUb39XX1rf+XU9+rn8e0gv59A/fqtY//LL7lKE7IupLMBUawywkpdkDvxofG0XabRE4awIjifrXq/DcsojCOWYUQL0ph7tmuqneGdp3jDLJTuotXcuWajgrKvElLSL/tkD7qBaSkiID/6+vplZrrQ4JqDdksTC2meqd9e1NXGrn9tsCv25Wrkkj+VoX1bsC4znFnkbS2Gq21AW+b/11v6JWTSVtVpeaTVcmsfBOS2sBKhXzpCB+P99QQ+3vLWTcF4cpDJTrslgQ13W5CJLuzcAyFpRrkoif6sPzWYh1LcZaiEuJ6l63ZoCY7KnEXdNlfbTUU+lwY/9+IanXBN6TMimOpK5F+MMiyXgoCXPr4uokM0qLi6pf1hN534/JuE4FFCz3LiS5qY7qg0CLm9qdjdjvXkiUCoy3szCjh+Jg/XEh+I8dwX1cA8VEpD2y+/o7q/UaZEVSICJ2ITnTW7eHsWbMIb2QSuScJCLHd58yjI+2BFGhcbRKeIfPkBquovkb8aPhPd6IVl9MSnJJ+wxNCuqU0Ep59cxP4wk/5pkTe9wQtRM+/OMtmNrWvoJqCsf/mbetkqCidqgeiUr4OA1/YyNggrAoMr4VQebWGvxJcdRtc2JOW9TtF+7KFWdRLfCEDy8mIto2MAWTKQI6lpkdrRI+7vSDMRAG2lA8ONrVKS+NJ8Ix91j5rQPF1MMHzIvHC64XMkksb39WO6URdzIw3etXiDC1t22aYBrAIDKT9eQafM9voiBjKZ5TZux3F/LkD+z9D/MgK5KCgsk8kO+p3TAOotMVGrOprMvA/JYb+31dKjSe8tLoBVrLZ3obvShqOCoKpssjiEhZyfbH7T203F8qEeNVPJ4GNCzd/nDK+HDUE168p2it2Kfh9/pQx7f/kbUvGwPFtcYCNNL4F1Avba9VaElNw3LHr6g+2Ey100JawQCd/RofjgkvjV+efm0Nr7ex9f/D3GgTEeN9eDx+uKm3MBrTw3MmTCaVuB9sZU1SDx/FFhOm8Roef3spWf8Jf4gVKum1oqgyJYn8kiTyAf/+UnJzilh/y3YK+1t5orUiqdPrg9NVp1orks7utpoGI4aG8sHqYPRVobHFQ+VLDjwaaA1VbKrxYb/NjgJE3ZGKum0tpbu8rbWR/bh3VeH8rIfXCZmCPT2N8Jq1lOz0BNpvclO30xX4f1Qy8UotmzYHHvsPlrPpnTHE3xbV3oS/jk2vBKZ768qoPBxJ/C0dYnZSGmnT6in7URn1UWltRfz7bWIc8dPcVG6ow9sC2mEHW3aF+nFSiRgPDR+5Qv8gtvJsK6FouQPXQAxQTwuLIu0OC84Xiqk60nr7ogYnNXuD2K0Miwws+3wJNZ+1dsrvwbm1tQJjWCTxcRE4t9UEToi0eKjcVt9Lgz07c0VRL85tTtwnAq+tjFMApcPItD8GtyJpMIZ3ENFHhUYlkvhJu3kwwUZ02lr8c1bxZGtxemV6Ps8/NZsPVwfOcthiUlj88och3A6od4o9nw3FdjzP3RtoP3kxW05vwGPjKPy/C1HfepDo663EPFCN+uBqCuPav22UK+OI9BSROMNGwlI3UU+tJmdKx1cwkTzPTuPBDiU7g9FnlUMLOcVPEnW4iIRZ0aQs9xDZ7RhYn++euPsWMeW3ecTMjiU2oYCaEC+0aqivorxid0h37whG5IPrWJfWzKacwFmzmJz1fNgc3Le8JXsNa9Ia2XRfTOBs59wHWetsPzMW9cPVLFI2kTk3nfS7i3BdHtk+fgiyuuSZK4o2491VwoPfau3396sxP7KSrJ7ulHEWBrUiaRDO3wqN/iqyYzYxu7KCnH7e2eCcqysgeqWJdW/lE9XbMZ69xSQ+1Ej+jjUkDVJRfwDnE9EUqRvZ/uhZ3oMrZB7KMhNxXLORrUX2QdoZEEPJMB8RtVdozBhpFRpbvDheqkSbcxfdTmr1k3bYifP06K2hii27xmC/5RzeZ/6Ek92eOHK+LyE0Ugzfg9UjuULjzgKiH65mzLQsVj418B9WzVNLyfI8PE3AWDP2+1aTbz+HkTA+g43vyrXHI8nw3zUTQgx7w3zXTAhxPpAgEkIYToJICGE4CSIhhOEkiM7AtToFW36N0d0Q543WYnGvDtQls4PsDNUlB8sQDiI/joXdqzS2VWdsqSHv+vbnrTNiSVnUtYZKX4KoJGiAukJbD5UpbRTUBfd7B/ereWQmx2KzWrHOiCU9vwznifbpfmcpeQtSiLVNZrItj5oQNzbX5jyy58dis07Gmu0YetUp/VXk2iYzee65+yCNaC11FMzosr1eHU3BruCbGMJBpJLx80McOrSHZXEKluwKDh36lO2PdLy610TGxkN8+smnHKhcSbK/nNwlZQzNAqHBi3vqAJ8eOsSh1n8HaaTSogAAFW5JREFU1mdgnphMctcyH2cQfuNd5D/3Cjv27GHPW8+TdqqcvJ90KGf772Zm31nI6keTOJtrIZXLZ3D7D1bz5LxQf/pxbvh3vY1TNWM+WkfdEaN7MwKExbHyd59y6MN1pKoqGesOceijPay8JfgmhnAQ0V6lEWA0bdUZOxmtBOabaCdrnh1cH3Kkpe8KjkFVEmxyU/5YOrE2K7aEbMr2dxiR9FrRLjDSSl9WSsHCTNITYoldUNJpVNLX+0Y5XZFSo+6NWpQ5GcQF+Qt403V2oq4xY1JVVFMEZlXBf8SDp3V0oN6QSkaKnaivh/fe0BlYkrJIjYtiojoUr3v246xxEn5bPllRXepLtRb+L1hdTO6CdBJjYjtVlwym7d4qNLpWp2DLLqY0P5vMtFhiu24zgOapDlS/vN7WZZvwULM8m5TWypHR8ekUvFzf/uURTN/99ZQXZpIYbcM2I5rEBUXUtG2T/asu2aew1s8nBLbdjp/TPvpetzxliAdRKJrcgcJiU65mYhiYkm7HfryayrZC3V6qq5yY09KIDIO4x7eyfUcFi6JU7I9uZfuO7WyvXkZShw+75qylcd463tn3LmtubmDtakfbj2I9LxewpM5MfuUBDu17k/wJNeR1Go1puFyQtXYzFTteIWd0OcWvnEVhz4ZKtuwyk3ZnVN/zdrS/hJTZ0dimRZNdoRF3b1K3ekXnpSYn//NbsMcmkXRLJO5f13Qup3rKRf3JeFZtqmB7ZSETdxZTFmS5U8/LuWT/AjJK3+XQh3vYkOih5Icl1Hf4xGq/d2NavJHNle+w4Q5/p20GNOrfcTN71XYO7N5I6sku24T5dpa9tIMDBw6w47lkPM8tpsTZofFe++7BkZdLmT+Z1dUHOLDvXTbnzmgb8fbed4365xZT4rGz7t0D7HEsRHvPObC73L30Pe7xrcM9iLxUPhxN9OxobLNSKDkWz7KnWn8xHEwFx77MzGCh3QRhJuKS7Cie06OK4CraRSanEqkAmImabsZzNPT9BNcbDlw3ppExpe95O7lxEZsr32Rr+RryM1P5PzOH5m7UQNOc/4PzlJ34WQrmW+KxfFzbZfesQ9XO8VHMsARZXbKvCo2nzbq9rSSLxRZJuKd9JAoQmZpF0kQF1CiSb+m4TZhJ+k4qUa1VNNUbMkib5sN9uDG4vh+pwfE7C1kFWa0VEBVM9tRAGY+hUF2yj/U+fH9rBoCJpJ+8yZO3KDBWpfOeQhAVHPsQKKLWKgzGtGiB4WpQFe0U1LHtBbYUgFPQXjYrCJoTx+uN2B9JC70KX5iCajKhmlJ5qLmI2IfWMrGvX/OfK3uLib27LPABVeJYuXsjGR3Kh7rXpZPybKCkrzI9n62vPRRkOQoNZ40TbdaPAyVhrrVjv2It1e94yJnSGsSjFcZ0+QMEV12yrwqNAcpYpfNxt9PbTGAqqtq+zSij6bBN+KnfXMJah5Mj/sASzV4N880d2uqt740evKNNmK84m74PdnXJPvrOsA8iGDPehNpDDVwIooLj2Qqpot3Z8+/cQnVLPKu6FnwL1YUKNLhwfwlRg1UkOhQ3FfLOJ4VnnGzJreBQ7lm0qzmp3uXFf2IJ0dYlgedOabCzBk92Dv0bE/ZRobGftF3FLC718dBLFWRcowJeHNkxOIJtIMKM6ZQbzzGg25ftOaou2Q9De9esBTSt9RvlFGgaZyyj2aO+KjiedSXBc1HRzkvlq3WE93KQ2r+tgMTkbMo63XXVQ82L5dR94MHbpOE/UkfJcw4ar5xB5KUdZmvRAusTAiu263ptcVG6IJGUJ2q6r5uW1mVOAWhoPS1vAM1ZTa0/jpXvdjjjuCmLiB6KwIesrwqN/eVvxqeasbTummkHHVSGUuBxShJps1yUryzHdQJAw7u3BmdDEH0fiOqSLXTankKtYT6Eg8iP4wErVms0RXUa7o3pWK2TSfxZaHd57bWCYz8qCQ56RbvDDhz1lt4PUjc14jnSgK9rUjTWUvLDdBJmWImeX0TduCzWlOa0H6zeVUD0VCvWXAd+fxW511uZ/I0inJ02Hg2fx437z1q3IHL9LJHJVivpG91odUVEW61YH646p9+g3WnU73Si2ZOJ7zDqU2alkWSqp3pn/y8k7KtCY38oty3iyah6CtJSyFyQSe5LYLkxlBbMZJVsJEetZnGyDduMGDJX72474Nyv6pJ9aamjYNZkrNfnUuX348i1Yp0a2nVE538ZkDNVcBRCDBnD/hhR79orOFaMtAqOQgwjQ3jXrJ+8DnKjbaT/QmHRT0ZYBUchhpnzd0RkymDdHik3KsRwcP6OiIQQw4YEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQw32ugOnGtH//wV212NjFNGY58ynsmmsUEvu/9zH64//o2/ay3cE/111IuG8Or76m0e/9V/8voXh/jDP+GS8FvJtP+U5TdYGWN034ToYgh/kgbPxWMu5O7or3V7/p2P/8Ixn4bvq38y88pLiJoU3mn69P8Vzo0TVda/+/m56urZu/AqvhW9gfsvu4rxY+DYZ8u5/61MlpvqWT7B6M4J0ZnsmnVw2b//GzHXXMql4/7N6K5AUz3FabFkv+ppfcKPc1kisbkOPEDLCTh5vOd/LQCjr8I+eTpXhV/CJcolXHXJFYznEH/4S7Nx70mIMxiRI6Izuf7rFwNwwaizb+O3n57gj182M/+mK/rXmbFRFD6bRWZOAWU3biTt6FIKdkWxzJGBGfhDIezd3sNyCty0H65SAI7z36/NJt9zgr9qf2XMZfm8Nll2zMTQI0E0wJq0Fv761amBaeyaHNYs3kf6I5lUNkHq/91M3PjApCsehNnpPSwzGi5TTj+YwB1z67m1+RgHD29gW8scoi4amK4JMZAkiAbYrdbLB7Q9U9IC4p7LxHHlMp6f3pYwXDgBLlZ7WCAMLuzwcIxyCROUS5gw8z85tHk691+0n9emyUEiMbRIEA1pfuqeLqIuMoc0TxlFL9vZ+B0LAJ8vDWbXrLMx/JX9X/wBkCASQ4sE0RDmeWMJRe/ZWeYoJO54BJn3FVBy42bypytEPAiz5/WwUFhg16z58w2UnLiKO66M4qoxzew/+Dglf7oEu816zt+HEH2RIOrgXzroug564P8t/9K5YBSMGhX80WvnkRM0fPkVd87sfnlAKLTDZRSsbCD152uIUwE1h5WP7uPex4qY4VhJ3A0w7oYzL998wV85eGARa9/+A389BZdcPJtvxbzOTyMv6Ve/hBgMEkQdVO4/zhd+DQDv3//B3qN/5X9bLuWGiRcH3cZX/2jB39zS774o1+SweU9Op+fM89bxTk+joB6MmZjP5u/k97sfQpwLIy6ILhgF/zjVwpbf/YlZV13CVR2urJ4X1fuxkwMePx8f+ztjLgw74zwDfbBaiJFglM/n0/fu3XvGGW699dZz2B0hxEgkV1YLIQwnQSSEMJwEkRDCcBJEQgjDSRAJIQwnQXTe81CWYSN3qzZor+DemEnKMieD9wpn4Hew7/p0/tBwrl+4D94q8pJzqTpudEeGDwmi81449vsLuevGHn581hethlxbOmVHepnnRBVrX4KM++10eoUWF4cTojno1Pjq5Ux25lbxr9B70LtxUZgfX8jll4a43GD3zZTKwqQG1r5gQDgPUxJE5z2VyKQM4iYNTuueNzbhvPEu0iYOTvu9CrMQ8e0kLg6+2u85E3lHGuq2TdScMLonw4ME0ZDloSzDSnp+EbmZ6aTPTSRlURn1/g6ztNRREJ1I0asOihakkJgQS2xyATWt8zifTScxIZbo663dd812FREbk0vJs3lkZqQQG5NC3qvu1nbrKc1MJHHuUpwnXazPSSQxIZHEhwPVITv2sW6nG4vdTk8VSc7kXwdL+W10Ou6DrX3SXBxOi+Z3L7qDG5m0uPhDZiy7YmzsvLqHXbMWD8eXZ7Jrho2dNhu1CZkcrvP32FSotINlZM5Op7RD30vnR5P5orvz6GeinXiTk//ZNTCve97z+Xz6zp07z/hPGOVzff2dU/Wpd67VP2zWdV336bWPxugxj+/Wm0/PcqpWXzJrqj7rzhX67sbAU83HPtcbm7u2M01/oKrTk7r+m6X6LEuMvqQ6sGDz7hV6wqyH9eqTHeZprtYfmDZfX+8+Qxeba/UlUTH60t09TfTpf32rUv9Lo663uGv1ht983mlq0y+/q9clrdD/4vPp3p8k6HUPbNGb+l4pXV5ii743cr7+qafz0y2/flh/2/6w3nAs8PifR/fpf3F3fP+9960vn//yAT3mWyv0fT6fvvupBD3moUq9ewvNevUPp+kJT+8L8U2NTCPut2bDTWRyKpEKgEpcahzNhdXUt9ixt/3cTSEqaxF2U+ujCWZMwTZ+qZ3kbwbmVqJmMEVbi/sYJE0JcnnNj09TsPx7TxNVwuekBv5riuPrXdq8KH0N1voUPrjHCSejsL6ewYAVjwwbA00evnK7OWWyMHpSFJ0PI/Xet76Y01ex7PfpLP5uPZy0s+wXqZi7zaWgjFPw+eUoUTBk12xIU1DVDncSCVcJ/7IRf6dKtBGYrwhlx6jdmLFq+y7VaAIHm0MpHKCohCsa/r+fzaurRNybyoUfu7gwNYuI8WfTRs8uiMtn2mILf1t9P7+ZZmNXRgGewwMZCCpxd6ehvu9C/VZGW/nezjS0kxrh6lmcJBiBJIiGNA2vt7H9UaMXnxqB2nUce+ZiAINLmULkVB/uT72hL9tUz+EfORh9bxajXy3g8P6BDAoTl35nGdNfe4f4323lqiucHF5ZyT8GqvmmekqecKB+JwP1F0WUftBD31vcuI/AlEjLQL3qeU2CaIhzvV5GzXGgyY3j1VrGxMUTda6CZ7RKhOrhw4/PdMDVTNxtFtxOJ6EdkvXT+JPFHPvaj7mhaBk3PDqRY48U0ThAZ5j+dbCO4/s9nGoBlDFcqMAFY8eEuLF7cb5YRNHGru/NT93yAqom5rPm8WWsedSE45Fi6rr2vcHJ7mN2/s8tZzdaHWkkiIY4+80mfnVfNLbZmTiUBax+NI6gBvsNDnITYomNv5e1H/ipW55IbHwsiU/UBX9tS5idrB/aObIygeiY2LZ7qnVknrcA+/tbqAzhosKvXs3D9Z4da3EqFwEXpa/COtOJ6zEHXwWx/KltBeyaHc07ycX8tcnF0Yxo3pkdy/6K1pGZz8Uff5TOb6ZZ2TljLof/nERkQWqIxbd81L/lwFHX+WyYp6K1fO9PUjEBpnmrWDbTSVFh53XjqqrEO2cBSQO4y3k+k3pEQ5aHsowU9t39LuvmDe1vVffGTBZ7FlFRZA8uJIcDfxW5MStQinewZk6I699bRV7W/3DrS+tIlfsUBEXOmol+s2RvZqvRnRhg2nu7OXjNQjYkncWXgCmVNdWpA9+p85gEkRA9UG5byTu3Gd2LkUOCaMgyk+M4QE7fMwox7MnBaiGE4SSIhBCGkyASQhhOgkgIYTgJIiGE4SSIhBCGkyASQhhOgkgIYTgJIiGE4SSIhBCGkyASQhhOgkgIYTgJIiGE4SSIhBCGkyAaCfxVZNsyKR9q94gXopUE0Ugw7joWFCzAHuo94nvlpWZZJinxNqxWK7aYFHJX1+EN5XZEQrSSmtXiLPlx73WjmcyYxytox+so+eFSPHdvZfN3ut9uUIjeyIhoCAv6Putn0uKiLDuRxPhorNYeds1aPNSszCZxtg3bjGhikzMpCfpe7SqWm6KInGRCVVVMEyZiGqfRcFT2/0TopFTsEKZcl8PKR/Zx72Ml2P97Edpzi3Fc8WNe+Z4luLtlhEWSs3E7Of4qsmO2dJus/aaUpdtUnqw8QJIJtM/qcZ0K7T4c7o2Z3P+Ci8Yv/WiX2sn/SVRIywsBEkRDXnD3WT9LowHNi/tjN/ZLLaiTogg1RizfXkdFio/G+hoq96vETTpvbigkziHZNRvygrnP+tlRbilk3YMWPnzuQRJm2EhcUIQj1HvEj1UxmcxEJuWQMa6cB1eGcANHIVpJEA11wdxn/aypRH1nGesc29mzeyuLJtRRvLomxNtHdzAaGj92dbsbrBB9kSAa0oK8z/pZ0g7XUbPfg9Z6j3h1tILyb0HuWnnrKN9YQ/0RL/4mPx5nGSW/cBNxY9TA7TqKEUOOEQ1hbfdZdwTus868VSx7L52iQgevrMvo8wOv1RSQstKJ1tJM40k/9ffEUhamMP2hzaxJN4HfxZaniljymQ/CFMxRGawqSiKoe5uOVmh8by3lZW48JzSU8Raikpbx/KPn0W2nxTkj1xEJIQwnu2ZCCMNJEAkhDCdBJIQwnASREMJwEkRCCMNJEAkhDCdBJIQwnASREMJwEkRCCMNJEAkhDCdBJIQwnASREMJwEkRCCMMFXQZE1/XB7IcQYgTrM4gkgIQQgy2oEVFfYSRhJYToj6BGRKeDRgJHCDEY+gyif/3rX92CSAJJCDGQgg4iGRkJIQZLn0G0a9euc9EPIcQI1mcQSfF8IcRgkwsahRCGkyASQhhOgkgIYTgJIiGE4SSIhBCGkyASQhhOgkgIYTgJIiGE4SSIhBCGC7owmhh4n332mdFdEGJIkCAymMlkMroLQhhOds2EEIaTIBJCGE6CSAhhOAkiIYThJIiEEIaTIBJCGE6CSAhhuBF3HVHtR3/hUcdBIlSFRxIn883rLg962Q2/+ZyKvcc47tOo+uFMzJdeNIg9FWLkGJEjoisuGcO2vFkhhRDA/d/4X1T+YOYg9UqIkWtEBpEQYmiRIBpga3Z8yj0v1BvdDSGGFQmiAeb92z84+pevjO6GEMPKiDtYPdhW3DHV6C4IMezIiEgIYTgJIiGE4SSIBtjPtn9Kxrp9RndDiGFFgmiA/eXv/6DhRLPR3RBiWBlxB6v/LWwUTdop5q19jx/cdhW3WoO/qPGl/+ehcv9xwsdeyAWjRvU4jxysFiJ0o3w+n753794zznDrrbeew+6MLJ999pmUihUC2TUTQgwBEkRCCMNJEAkhDCdBJIQwnASREMJwEkRCCMNJEAkhDDfiLmgcarxer9FdEMJwEkQGmjRpktFdEGJIkF0zIYThJIiEEIb7/x6svMbl9sf3AAAAAElFTkSuQmCC" 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ways of Running Python\n", + "\n", + "Within JupyterLab you have three ways of running Python code -- Using a Python notebook, a Python console, or in a terminal. Let's practice each of these.\n", + "\n", + "#### Python Notebooks\n", + "\n", + "When you open a Python notebook, a Python kernel is started where all of the code in that notebook will run. You can see a list of running kernels in the left sidepanel under the second icon, kernels and terminals. You can use that list to shut down a kernel.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + " If you shut down the kernel for the notebook by hovering your mouse pointer over the kernel and clicking its close X, the kernel icon for the notebook in the bar at the top of the notebook will turn to a lightning bolt and it will say \"No Kernel\" is running. You can restart the kernel by clicking on the \"No Kernel\" and selecting Python3 kernel.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "#### Python Console\n", + "\n", + "Another way you can run Python is by starting up a Python console. You can either use the \"Launcher\" tab and click on the \"console\" option, or on the menu bar click File -> New -> Console. A console has a single cell at the bottom. You can type as much code as you like into the cell and execute it by typing `shift-enter`. The code will appear at the top of the console with the output from the code appearing directly underneath and the cell will be cleared for you to enter more code.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "One nice thing about the console is it remembers what you typed. You can use the up and down arrows to cycle through the content you have typed. This is a nice place to practice writing code and working out what you code you want before you enter it into some other place like a notebook.\n", + "\n", + "To shut down a console you need to not only close the tab but also click to open the kernel sidepanel and click to shutdown the kernel associated with the console.\n", + "\n", + "#### Terminal\n", + "\n", + "You can open a terminal by clicking in the launcher on \"Terminal\" or on the menu bar click File -> New -> Terminal. A terminal window is where you can enter commands that are carried out by your operating system and is different on different operating systems. The terminal is not running Python and does not accept Python code. However, recall that when you installed Anaconda one of the programs that was installed was Python. You can tell the OS to start up Python in this terminal and you can give the Python program a file that contains Python code, called a script. Python script files typically have a `.py` file extension. Python will execute the code in this script and then exit. If you downloaded the `hello.py` file and placed it in the same directory along with this notebook, then you should be able to type the following in a terminal and see the script run.\n", + "\n", + "```\n", + "python hello.py\n", + "```\n", + "\n", + "Here is what I see when I run the script and enter my name:\n", + "\n", + "\n", + "\n", + "We won't be writing scripts this semester, but it is a common way to write Python programs. You can close a terminal by closing its tab or typing the `exit` command." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Summary\n", + "\n", + "In this lecture you practiced creating expressions, especially Boolean expressions with **short circuiting**, learned the rules for **variable names** and how to write an **assignment statement**. You should now be able to identify the three categories of programming **errors** (syntax, runtime, and semantic)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Extra Practice" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1\n", + "2\n", + "19\n" + ] + } + ], + "source": [ + "# Given the number of seconds, compute the number of hours, minutes, and seconds.\n", + "# e.g. if seconds is 65, the correct output (with \\n in-between) is 0 1 5\n", + "# e.g. if seconds is 192, the correct output (with \\n in-between) is 0 3 12\n", + "# e.g. if seconds is 3739, the correct output (with \\n in-between) is 1 2 19\n", + "\n", + "seconds = 3739\n", + "\n", + "# We know we'll have to create 2 more variables, hours and minutes.\n", + "\n", + "# First, we have to get the number of hours.\n", + "# There are 60 * 60 = 3600 seconds in an hour, so\n", + "# we use integer division to get the whole number of hours.\n", + "hours = seconds // 3600\n", + "\n", + "# What we have left over is the remainder of seconds.\n", + "# We use the modulos operator to get the remainder.\n", + "seconds = seconds % 3600\n", + "\n", + "# Same thing for minutes!\n", + "# We use integer division to get the whole number of minutes.\n", + "minutes = seconds // 60\n", + "\n", + "# What we have left over is the remainder of seconds.\n", + "seconds = seconds % 60\n", + "\n", + "# Print out our results\n", + "print(hours)\n", + "print(minutes)\n", + "print(seconds)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/s25/Louis_Lecture_Notes/04_Variables/hello.py b/s25/Louis_Lecture_Notes/04_Variables/hello.py new file mode 100644 index 0000000..b5e26a0 --- /dev/null +++ b/s25/Louis_Lecture_Notes/04_Variables/hello.py @@ -0,0 +1,2 @@ +name = input("What is your name? ") +print("Hello, "+name) -- GitLab