generated from mwc/problemset_typeface
	I was very frustrated witht he positioning of the proofs but once I got it, i felt relieved and accomplished.
		
			
				
	
	
		
			760 lines
		
	
	
		
			13 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
			
		
		
	
	
			760 lines
		
	
	
		
			13 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
# typeface.py
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# By Chris Proctor and _________
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# Contains one function for each letter in the English alphabet. 
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# Each function should draw its letter at a scale of `unit`, and then 
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# return back to the same position and heading where it started. 
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# Note: The `sqrt` function from math may be helpful--if you want to 
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# move the turtle along the diagonal of a square with side length x, 
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# the turtle should move a distance of sqrt(x)
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from turtle import *
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from turtle import goto
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from math import sqrt
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def draw_square(unit):
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    for i in range(4):
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        forward(unit)
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        left(90)
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def start(unit):
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    penup()
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    forward(unit*2)
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    left(90)
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    forward(unit)
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    pendown()
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    forward(unit*6)
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    right(90)
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def draw_letter_a(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*4)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit)
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    right(90)
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    for i in range(2):
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        forward(unit*2)
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        left(90)
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    forward(unit*2)
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    right(90)
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    forward(unit)
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    penup()
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    right(90)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    pendown()
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    draw_square(unit*2)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_b(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*3)
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    right(90)
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    forward(unit*2)
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    left(90)
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    forward(unit)
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    right(90)
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    forward(unit*4)
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    right(90)
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    forward(unit*4)
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    right(135)
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    penup()
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    forward(unit*sqrt(2))
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    right(45)
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    pendown()
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    draw_square(unit*2)
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    penup()
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    left(90)
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    forward(unit*3)
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    pendown()
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    right(90)
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    draw_square(unit)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_c(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*4)
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    left(90)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*4)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_d(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*4)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit*4)
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    penup()
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    right(90)
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    forward(unit*2)
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    right(90)
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    forward(unit)
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    pendown()
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    forward(unit)
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    left(90)
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    forward(unit*2)
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    left(90)
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    forward(unit)
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    left(90)
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    forward(unit*2)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_e(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*4)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*3)
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    left(90)
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    forward(unit*1.5)
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    left(90)
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    forward(unit*2)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*1.5)
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    left(90)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*4)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_f(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*4)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*3)
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    left(90)
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    forward(unit*1.5)
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    left(90)
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    forward(unit*2)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*2.5)
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    right(90)
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    forward(unit)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_g(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*4)
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    left(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*2)
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    left(90)
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    forward(unit)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*2)
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    right(90)
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    forward(unit*4)
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    right(90)
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    forward(unit*4)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_h(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit)
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    right(90)
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    forward(unit*2.5)
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    left(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*2.5)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*2.5)
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    left(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*2.5)
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    right(90)
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    forward(unit)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_i(unit):
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    x_pos, y_pos= pos()
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    penup()
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    forward(unit)
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    start(unit)
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    forward(unit*2)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit*2)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_j(unit):
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    x_pos, y_pos= pos()
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    penup()
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    forward(unit*2)
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    left(90)
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    forward(unit)
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    pendown()
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    forward(unit*3)
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    right(90)
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    forward(unit*1.5)
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    right(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*1.5)
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    left(90)
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    forward(unit*4)
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    left(90)
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    forward(unit)
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    left(90)
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    forward(unit*.5)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*1.5)
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    right(90)
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    forward(unit*3)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit*4)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_k(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*1.5)
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    right(90)
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    forward(unit*2.5)
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    left(150)
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    forward(unit*2.9)
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    right(60)
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    forward(unit*1)
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    right(120)
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    forward(unit*3.5)
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    left(60)
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    forward(unit*3.5)
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    right(120)
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    forward(unit*1)
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    right(60)
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    forward(unit*2.9)
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    left(150)
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    forward(unit*2.5)
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    right(90)
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    forward(unit*1.5)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_l(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*2)
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    right(90)
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    forward(unit*5)
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    left(90)
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    forward(unit*2)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*4)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_m(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit)
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    right(65)
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    forward(unit*2.4)
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    left(130)
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    forward(unit*2.4)
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    right(65)
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    forward(unit)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*3)
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    left(135)
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    forward(unit*1.4)
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    right(90)
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    forward(unit*1.4)
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    left(135)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_n(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit)
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    right(57)
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    forward(sqrt((unit*3)**2+(unit*2)**2))
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    left(147)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit)
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    right(57)
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    forward(sqrt((unit*3)**2+(unit*2)**2))
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    left(147)
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    forward(unit*3)
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    right(90)
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    forward(unit)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_o(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*4)
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    right(90)
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    forward(unit*6)
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    right(90)
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    forward(unit*4)
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    penup()
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    right(90)
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    forward(unit*2)
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    right(90)
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    forward(unit)
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    pendown()
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    draw_square(unit*2)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_p(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*4)
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    right(90)
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    forward(unit*4)
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    right(90)
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    forward(unit*2)
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    left(90)
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    forward(unit*2)
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    right(90)
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    forward(unit*2)
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    penup()
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    right(108)
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    forward(sqrt((unit*3)**2+(unit*1)**2))
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    right(72)
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    forward(unit)
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    pendown()
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    forward(unit)
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    left(90)
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    forward(unit*2)
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    left(90)
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    forward(unit)
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    left(90)
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    forward(unit*2)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_q(unit):
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    x_pos, y_pos= pos()
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    penup()
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    forward(unit*2)
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    left(90)
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    forward(unit*2)
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    pendown()
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    forward(unit*5)
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    right(90)
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    forward(unit*4)
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    right(90)
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    forward(unit*5)
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    right(90)
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    forward(unit)
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    left(135)
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    forward(unit*1.5)
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    right(135)
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    forward(unit)
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    right(45)
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    forward(unit*1.5)
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    left(45)
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    forward(unit*2)
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    penup()
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    right(90)
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    forward(unit*2)
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    right(90)
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    forward(unit)
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    pendown()
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    for i in range(2):
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        forward(unit*2)
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        left(90)
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        forward(unit)
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        left(90)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_r(unit):
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    x_pos, y_pos= pos()
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    start(unit)
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    forward(unit*4)
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    right(90)
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    forward(unit*4)
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    right(90)
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    forward(unit)
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    left(116.5)
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    forward(unit*sqrt(5))
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    right(116.5)
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    forward(unit)
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    right(63.5)
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    forward(unit*sqrt(5))
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    left(153.5)
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    forward(unit*2)
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    right(90)
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    forward(unit*2)
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    penup()
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    right(90)
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    forward(unit*3)
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    right(90)
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    forward(unit*2)
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    pendown()
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    forward(unit)
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    left(90)
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    forward(unit*2)
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    left(90)
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    forward(unit)
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    left(90)
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    forward(unit*2)
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    teleport(x_pos, y_pos)
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    setheading(0)
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def draw_letter_s(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    penup()
 | 
						|
    forward(unit*2)
 | 
						|
    left(90)
 | 
						|
    forward(unit)
 | 
						|
    pendown()
 | 
						|
    forward(unit)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    left(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    left(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*3.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*4)
 | 
						|
    right(90)
 | 
						|
    forward(unit)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    left(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    left(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*3.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*4)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 | 
						|
 | 
						|
def draw_letter_t(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    penup()
 | 
						|
    forward(unit*3)
 | 
						|
    left(90)
 | 
						|
    forward(unit)
 | 
						|
    pendown()
 | 
						|
    forward(unit*5)
 | 
						|
    left(90)
 | 
						|
    forward(unit)
 | 
						|
    right(90)
 | 
						|
    forward(unit)
 | 
						|
    right(90)
 | 
						|
    forward(unit*4)
 | 
						|
    right(90)
 | 
						|
    forward(unit)
 | 
						|
    right(90)
 | 
						|
    forward(unit)
 | 
						|
    left(90)
 | 
						|
    forward(unit*5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 | 
						|
 | 
						|
def draw_letter_u(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    start(unit)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*5)
 | 
						|
    left(90)
 | 
						|
    forward(unit*1)
 | 
						|
    left(90)
 | 
						|
    forward(unit*5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*6)
 | 
						|
    right(90)
 | 
						|
    forward(unit*4)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 | 
						|
 | 
						|
def draw_letter_v(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    penup()
 | 
						|
    forward(unit*3)
 | 
						|
    left(90)
 | 
						|
    forward(unit)
 | 
						|
    pendown()
 | 
						|
    left(10)
 | 
						|
    forward(unit*sqrt(37))
 | 
						|
    right(100)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(80)
 | 
						|
    forward(unit*3.2)
 | 
						|
    left(160)
 | 
						|
    forward(unit*3.2)
 | 
						|
    right(80)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(100)
 | 
						|
    forward(unit*sqrt(37))
 | 
						|
    right(80)
 | 
						|
    forward(unit*2)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 | 
						|
 | 
						|
def draw_letter_w(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    start(unit)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*4)
 | 
						|
    left(153)
 | 
						|
    forward(unit*sqrt(1.25))
 | 
						|
    right(126)
 | 
						|
    forward(unit*sqrt(1.25))
 | 
						|
    left(153)
 | 
						|
    forward(unit*4)
 | 
						|
    right(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*6)
 | 
						|
    right(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(63)
 | 
						|
    forward(unit*sqrt(1.25))
 | 
						|
    left(126)
 | 
						|
    forward(unit*sqrt(1.25))
 | 
						|
    right(63)
 | 
						|
    forward(unit*1.5)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 | 
						|
 | 
						|
def draw_letter_x(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    penup()
 | 
						|
    forward(unit*2)
 | 
						|
    left(90)
 | 
						|
    forward(unit)
 | 
						|
    pendown()
 | 
						|
    forward(unit*2)
 | 
						|
    right(56)
 | 
						|
    forward(unit*sqrt((1.5)**2+1))
 | 
						|
    left(112)
 | 
						|
    forward(unit*sqrt((1.5)**2+1))
 | 
						|
    right(56)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(63)
 | 
						|
    forward(unit*sqrt((0.5)**2+1))
 | 
						|
    left(126)
 | 
						|
    forward(unit*sqrt((0.5)**2+1))
 | 
						|
    right(63)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(56)
 | 
						|
    forward(unit*sqrt((1.5)**2+1))
 | 
						|
    left(112)
 | 
						|
    forward(unit*sqrt((1.5)**2+1))
 | 
						|
    right(56)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(63)
 | 
						|
    forward(unit*sqrt((0.5)**2+1))
 | 
						|
    left(126)
 | 
						|
    forward(unit*sqrt((0.5)**2+1))
 | 
						|
    right(63)
 | 
						|
    forward(unit*1.5)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 | 
						|
 | 
						|
 | 
						|
 | 
						|
def draw_letter_y(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    penup()
 | 
						|
    forward(unit*2.5)
 | 
						|
    left(90)
 | 
						|
    forward(unit)
 | 
						|
    pendown()
 | 
						|
    forward(unit*.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    left(90)
 | 
						|
    forward(unit*2.5)
 | 
						|
    left(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*3)
 | 
						|
    right(90)
 | 
						|
    forward(unit*1.5)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    left(90)
 | 
						|
    forward(unit*.5)
 | 
						|
    left(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*6)
 | 
						|
    right(90)
 | 
						|
    forward(unit*3.5)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 | 
						|
 | 
						|
 | 
						|
 | 
						|
def draw_letter_z(unit):
 | 
						|
    x_pos, y_pos= pos()
 | 
						|
    penup()
 | 
						|
    forward(unit*2)
 | 
						|
    left(90)
 | 
						|
    forward(unit)
 | 
						|
    pendown()
 | 
						|
    forward(unit*2)
 | 
						|
    right(45)
 | 
						|
    forward(unit*sqrt(8))
 | 
						|
    left(135)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*4)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(45)
 | 
						|
    forward(unit*sqrt(8))
 | 
						|
    left(135)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*2)
 | 
						|
    right(90)
 | 
						|
    forward(unit*4)
 | 
						|
    teleport(x_pos, y_pos)
 | 
						|
    setheading(0)
 | 
						|
 |