Add labs files for Chapters 7 and 8

thinkcspy/Chapter-8-Exercises/Lab_Experimenting_with_the_3n+1_Sequence/Lab Experimenting With the 3n+.md

@@ -0,0 +1,125 @@
+# Lab: Experimenting With the 3n+1 Sequence
+Instructions
+------------
+
+In this lab my job was to take the initial code, graph the iterations and find the max number of iterations from one of the 50 sequence starts. 
+
+Initial Code
+------------
+
+```text-x-python
+# Runestone.Academy thinkcspy course
+# Chapter 8
+# Lab
+
+def seq3np1(n):
+    """ Print the 3n+1 sequence from n, terminating when it reaches 1."""
+    
+    while n != 1:       
+        print(n)
+        if n % 2 == 0:        # n is even
+            n = n // 2
+        else:                 # n is odd
+            n = n * 3 + 1
+    print(n)                  # the last print is 1
+```
+
+My Code
+-------
+
+```text-x-python
+# Runestone.Academy thinkcspy course
+# Chapter 8
+# Lab
+
+import turtle
+
+border = 10
+
+def writeData(tt, itr, height):
+    tt.goto(0-border, 0-border)
+    tt.up()
+
+    if height >= 100:
+        tt.left(90)
+        tt.forward(height+20)
+        tt.right(90)
+        tt.forward(itr*39)
+        tt.write(str(height), move=False, align='center', font=('Times New Roman', 30, 'normal'))
+        tt.forward(70)        
+        tt.write(str(itr), move=False, align='center', font=('Times New Roman', 30, 'normal')) 
+    else:                        # this is here so the last bar actually fills
+        tt.left(90)
+        tt.forward(height)
+        tt.right(90)
+        tt.forward(itr*40)
+        tt.right(90)
+        tt.forward(height)
+        tt.left(90)
+    
+def drawBar(t, height):
+    """ Get turtle t to draw one bar, of height. """
+    t.begin_fill()               # start filling this shape
+    t.left(90)
+    t.forward(height)
+    t.right(90)
+    t.forward(40)
+    t.right(90)
+    t.forward(height)
+    t.left(90)
+    t.end_fill()                 # stop filling this shape
+
+    
+def seq3np1(n):
+    """ Print the 3n+1 sequence from n, terminating when it reaches 1."""
+    count = 1
+    
+    while n != 1:
+        count += 1
+       
+        #print(n)
+        if n % 2 == 0:        # n is even
+            n = n // 2
+        else:                 # n is odd
+            n = n * 3 + 1
+    #print(n)                 # the last print is 1
+    #print(count)
+    return count
+    
+    
+wn = turtle.Screen()             # Set up the window and its attributes
+wn.setworldcoordinates(0-border, 0-border, 40*50+border, 150)
+wn.bgcolor("lightblue")
+wn.tracer(100)
+
+tess = turtle.Turtle()           # create tess and set some attributes
+tess.color("purple")
+tess.fillcolor("magenta")
+tess.pensize(3)
+
+alex = turtle.Turtle()
+alex.color("purple")
+
+maxSoFar = 0
+
+for i in range(50):
+    start = i + 1
+    result = seq3np1(start)
+
+    #print("Number of iterations to get to '1' from", start, ":", result)
+    
+    drawBar(tess, result)
+    writeData(alex, start, result)
+    
+    if result > maxSoFar:
+        maxSoFar = result
+
+print("The max number of iterations was", maxSoFar, "from sequence start", start)
+```
+
+Result
+------
+
+![](Lab%20Experimenting%20With%20the%203n%2B1%20Sequence/image.png)
+
+The numbers are not very readable, but it gets the job done.

thinkcspy/Chapter-8-Exercises/Python-files/Lab.py

@@ -0,0 +1,87 @@
+# Runestone.Academy thinkcspy course
+# Chapter 8
+# Lab
+
+import turtle
+
+border = 10
+
+def writeData(tt, itr, height):
+    tt.goto(0-border, 0-border)
+    tt.up()
+
+    if height >= 100:
+        tt.left(90)
+        tt.forward(height+20)
+        tt.right(90)
+        tt.forward(itr*39)
+        tt.write(str(height), move=False, align='center', font=('Times New Roman', 30, 'normal'))
+        tt.forward(70)        
+        tt.write(str(itr), move=False, align='center', font=('Times New Roman', 30, 'normal')) 
+    else:                        # this is here so the last bar actually fills
+        tt.left(90)
+        tt.forward(height)
+        tt.right(90)
+        tt.forward(itr*40)
+        tt.right(90)
+        tt.forward(height)
+        tt.left(90)
+    
+def drawBar(t, height):
+    """ Get turtle t to draw one bar, of height. """
+    t.begin_fill()               # start filling this shape
+    t.left(90)
+    t.forward(height)
+    t.right(90)
+    t.forward(40)
+    t.right(90)
+    t.forward(height)
+    t.left(90)
+    t.end_fill()                 # stop filling this shape
+
+    
+def seq3np1(n):
+    """ Print the 3n+1 sequence from n, terminating when it reaches 1."""
+    count = 1
+    
+    while n != 1:
+        count += 1
+       
+        #print(n)
+        if n % 2 == 0:        # n is even
+            n = n // 2
+        else:                 # n is odd
+            n = n * 3 + 1
+    #print(n)                 # the last print is 1
+    #print(count)
+    return count
+    
+    
+wn = turtle.Screen()             # Set up the window and its attributes
+wn.setworldcoordinates(0-border, 0-border, 40*50+border, 150)
+wn.bgcolor("lightblue")
+wn.tracer(100)
+
+tess = turtle.Turtle()           # create tess and set some attributes
+tess.color("purple")
+tess.fillcolor("magenta")
+tess.pensize(3)
+
+alex = turtle.Turtle()
+alex.color("purple")
+
+maxSoFar = 0
+
+for i in range(50):
+    start = i + 1
+    result = seq3np1(start)
+
+    #print("Number of iterations to get to '1' from", start, ":", result)
+    
+    drawBar(tess, result)
+    writeData(alex, start, result)
+    
+    if result > maxSoFar:
+        maxSoFar = result
+
+print("The max number of iterations was", maxSoFar, "from sequence start", start)