{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "949eea81",
   "metadata": {},
   "source": [
    "## Lab 15: For Loops\n",
    "In this lab, you will get practice writing `for` loops. You'll use them to loop through lists with and without the `range()` function."
   ]
  },
  {
   "attachments": {
    "negativetemperatureindices.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "669bd2cf",
   "metadata": {},
   "source": [
    "__Exercise 1:__ Write a for loop displays the indices of the negative temperatures from the temperatures list. The output might look like this:\n",
    "\n",
    "![negativetemperatureindices.png](attachment:negativetemperatureindices.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9a3272da",
   "metadata": {},
   "outputs": [],
   "source": [
    " temperatures = [30, 20, 2, -5, -15, -8, -1, 0, 5, 35]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "498303cb",
   "metadata": {},
   "source": [
    "__Exercise 2:__ The following for loop attempts to say \"Hi\" to all of the Computer Science professors at Drake, but it has an error. Find the error and fix it so that this code works as intended!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7644bf1e",
   "metadata": {},
   "outputs": [],
   "source": [
    "drake_cs_profs = [\"Tim\",\"Eric\",\"Adam\",\"Chris\",\"Titus\",\"Meredith\",\"Reza\",\"Rajin\"]\n",
    "\n",
    "for i in drake_cs_profs:\n",
    "    print(\"Hi\", drake_cs_profs[i])"
   ]
  },
  {
   "attachments": {
    "factorial.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "f9f73433",
   "metadata": {},
   "source": [
    "__Challenge Exercise 3:__ In mathematics, the notation $n!$ represents the factorial of the positive integer $n$. The _factorial_ is the product of all the integers from 1 to $n$. For example $$7! = 1*2*3*4*5*6*7 = 5040$$ and $$4! = 1*2*3*4 = 24.$$ Create a new file called `mathfunctions.py` and write a function called `factorial()` that uses a `for` loop to find the factorial of a number. It should work like this:\n",
    "\n",
    "![factorial.png](attachment:factorial.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4748ebe",
   "metadata": {},
   "source": [
    "When you are finished, submit your solution to the __Lab 15: Factorial__ assignment on codePost where it will be unit tested. You _must_ submit a .py file with the exact name `mathfunctions.py` and your function has to have the exact name `factorial()`."
   ]
  }
 ],
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