Name:__________________________________ Section:___ Andrew Id: ____________________ a 1 15-112 Fall 2019 Quiz 2a * Up to 25 minutes. No calculators, no notes, no books, no computers. * Show your work! * No strings, lists, string or list indexing, or recursion 1. Free Response: nthTenlyPrime(n) [40 pts] We will say that a number is “tenly” (a made-up term) if the digits of the number add up to 10. So 1153 is tenly, but 153 is not. With this in mind, write the function nthTenlyPrime(n) that takes a non-negative int n and returns the nth number that is both tenly and prime. You should also write all the required helper functions. The first several tenly primes are: 19, 37, 73, 109, 127…a 2 2. Free Response: drawLinesToCenter(lines, canvas, width, height) [25 pts]: Write the function drawLinesToCenter(lines, canvas, width, height) that uses only lines to draw a this picture like this (in this case, where lines is 20): • The first parameter (lines) is the number of lines to draw • The tops of the lines are equally spaced along the top of the canvas, with the first line starting at the left-top corner and the last line starting at the right-top corner. • All the lines end at the middle of the canvas • You do not need to write runDrawing(width, height). Assume it is provided, and calls drawLinesToCenter(lines, canvas, width, height)a 3 3. Code Tracing [25 pts]: Indicate what these print. Place your answers (and nothing else) in the boxes below the code. def ct1(n): z = 0 for x in range(2, n, 2): z = 10*z + x for y in range(n, 2*x): z = 10*z + y while z < 123456: z = 10*z + 9 return z print(ct1(6)) def ct2(a, b, c): while (c > a): c -= b if (c > a+b): print('X', c) elif (abs(c-14) == 1): print('Y', c) continue b += 1 return c print('Z', ct2(10, 7, 30))a 4 4. Reasoning Over Code [10 pts]: Find arguments for the following functions that makes them return True. Place your answers (and nothing else) in the box beside the code: def f(n): t = 1 while (n != 0): t *= n%10 n //= 10 return t def rc1(z): r = 0 for i in range(100): if (f(i) == 32): r = i return (r == z) z = 5. Bonus/Optional: Code Tracing [2.5 pts] Indicate what this prints. Very clearly circle your answer (and nothing else): def bonusCt1(r): def f(x, d): z = 0 while x: z,x = z or not (x%10-d),x//10 return z for i in range(11): d = (i**2)%10 if (not f(r, d)): r = 10*r + d return r print(bonusCt1(4)) 6. Bonus/Optional: Code Tracing [2.5 pts] Sketch what this draws in a 300x300 canvas. Very clearly circle your answer, including a box to represent the 300x300 canvas. def bonusCt2Drawing(canvas, width, height): # Sketch what this draws x, y, z = width/2, height/2, min(width, height)//2 for x in range(z): for y in range(z): dx = x – z dy = y – z if (((dx >= dy/2) or (dy >= dx/2)) and abs(dx**2 + dy**2) <= z**2): canvas.create_line(x, y, z,