Q1: Read the instructions for question Q1 in the assignment document. In each of the 12 entries below, enter
the corresponding integer.
n11 =
n12 =
n13 =
n14 =
n21 =
n22 =
n23 =
n24 =
n31 =
n32 =
n33 =
n34 =
Q2: Read the instructions for question Q2 in the assignment document. For each of the four sub-questions,
check every box that is true.
(a):
f (n) 2 O(g(n))
(b):
f (n) 2 O(g(n))
(c):
f (n) 2 O(g(n))
(d):
f (n) 2 O(g(n))
f (n) 2 W(g(n))
f (n) 2 W(g(n))
f (n) 2 W(g(n))
f (n) 2 W(g(n))
f (n) 2 Q(g(n))
f (n) 2 Q(g(n))
f (n) 2 Q(g(n))
f (n) 2 Q(g(n))
Q3: Read the instructions for question Q3 in the assignment document. For each of the four sub-questions, check the only box whose corresponding array content answers the question.
(a):
A :
13
14
11
15
12
(b):
A :
13
14
11
15
12
A :
A :
13
14
14
15
12
13
14
14
15
12
A :
A :
13
13
14
15
12
13
13
14
15
12
A :
A :
11
13
14
15
12
11
13
14
15
12
A :
A :
11
13
14
15
15
11
13
14
15
15
A :
A :
11
13
14
14
15
11
13
14
14
15
A :
A :
11
13
13
14
15
11
13
13
14
15
A :
A :
11
12
13
14
15
11
12
13
14
15
(c):
A :
(d):
A :
13
14
11
15
12
13
14
11
15
12
A :
A :
13
14
14
15
12
13
14
14
15
12
A :
A :
13
13
14
15
12
13
13
14
15
12
A :
A :
11
13
14
15
12
11
13
14
15
12
A :
A :
11
13
14
15
15
11
13
14
15
15
A :
A :
11
13
14
14
15
11
13
14
14
15
A :
A :
11
13
13
14
15
11
13
13
14
15
A :
A :
11
12
13
14
15
11
12
13
14
15
Carefully read the instruction for each question in the assignment document
CSE310 Spring 2021 Homework 01 Answer Sheet Submit on Gradescope
Q4: Read the instructions for question Q4 in the assignment document. For each of the two sub-questions, check every box whose corresponding values for c and N make the proof correct.
(a): c = 6; N = 100 (b): c = 4; N = 100
c = 6; N = 200 c = 4; N = 200
c = 7; N = 100 c = 3; N = 100
c = 6; N = 50 c = 4; N = 50
c = 5; N = 100 c = 5; N = 100
Q5: Read the instructions for question Q5 in the assignment document. For each of the five sub-questions,
choose True or False.
(a):
If f (n) 2 O(n) and g(n) 2 O(n), then f (n) + g(n) 2 O(n).
(b):
If f (n) 2 O(n) and g(n) 2 O(n2), then f (n) + g(n) 2 O(n).
(c):
If f (n) 2 O(n), then n2 f (n) 2 O(n3).
(d):
If f (n) 2 Q(n log n) and g(n) 2 Q(n log n), then f (n) 2 Q(g(n)).
(e):
If f (n) 2 O(n2) and g(n) 2 O(n2), then f (n) 2 O(g(n)).
Carefully read the instruction for each question in the assignment document
