CMU 15-112: Fundamentals of Programming and Computer Science
Quiz1c
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More important notes:
- Write your answers by hand with no calculators, no computers.
- No strings, lists, string or list indexing, loops, or recursion.
- You may call almostEqual(x, y) and roundHalfUp(d) without writing them. Write everything else!
1. Code Tracing [20 points; 5 points each]
What does the following code print?
Be certain to show your work, and also very clearly circle your answer!
CT 1 of 4:
def ct1(x, y, z): x *= z z = y ** z return (10 * y + z) % x print(ct1(5, 4, 2))
CT 2 of 4:
def ct2(): print(42, end='') # no return statement! print(ct2())
CT 3 of 4:
# f(x,y) is used by ct3 def f(x, y): y += 1 return x - x // y def ct3(x, y): x = f(x, y - 1) return x / (y - 1) print(ct3(4, 3))
CT 4 of 4:
# h(x,y) is used by ct4 def h(x, y): if (x > y): if (x > 2 * y): return 3 elif (x < 2 * y): return 5 else: return 7 return 9 def ct4(): w = h(4, 8) x = h(8, 4) y = h(8, 3) z = w + 10 * x + 100 * y print(z) ct4()
2. True/False [10 points; 2 points each]
For each of the following, write the whole word "True" or "False" (and not just T or F).
(A) I understand that it is an Academic Integrity Violation to discuss anything at all about this quiz with any other 112 student, regardless of which lecture they attend, until the day after the quiz is taken (so, tomorrow). Hint: your answer had better be True!
(B) Short-Circuit Evaluation occurs in multiplication when the first value is 0, because Python knows the result will be 0.
(C) In turtle graphics, the point (0, 0) is at the left-top corner of the window.
(D) We use roundHalfUp() instead of round() because of problems related to the 'Approximate Values of Floating-Point Numbers'.
(E) If you try to evaluate 1 + 2 / 0, your program will crash due to a runtime error (as opposed to a syntax error or logical error).
3. Free Response [70 points]
Background: we will say an integer is "doubly" (a coined term) if it is exactly 4 digits long (ignoring leading 0's) and the left two digits match the right two digits in the same order. Thus, these values are doubly:
1212 3838 9999 -4242 # negatives are okAnd these values are not doubly:
1221 # 12 != 21 1122 # 11 != 22 333 # not enough digits 66666 # too many digits 1.212 # not an int 'wow' # also not an intWith this in mind, and without using strings, write the function isDoubly(n) that takes a value of any type and -- without crashing -- returns True if n is doubly, and False otherwise.
4. Bonus Code Tracing [Up to 4 points; 2 points each]
What does the following code print?
Be certain to show your work, and also very clearly circle your answer!
Bonus CT 1 of 2
# q(n) and r(m, n) are used # by bonusCt1() def q(n): return (1 if (n == 0) else round(n/abs(n))) def r(m, n): return (q(m**11) + q(n**12) + q((m+n)**13)) def bonusCt1(x, y, z): return (100 * r(x, y) + 10 * r(x, z) + r(y, z)) print(bonusCt1(235, -104, -417))
Bonus CT 2 of 2
# v(s) and vv(s) are used # by bonusCt2() def v(s): return (10 if s < 20 else v(s-10) + v(s-20)) def vv(s): return (v(s) if (v(s) > 500) else vv(s+10)) def bonusCt2(r): return vv(10*r) print(bonusCt2(1))