CMPSC 465, Spring 2008, Homework 1
Due: Friday,January 23, in class or by 10 am next day in 346H IST (slide under the door).
Problem 1.
Foreach program find a plausible nice function that it describes of growth of the running time. The table pro-
vides the running time in miliseconds for several input sizes:
input size
1000 2000 4000 8000
program
Program A 1248
Program B 15 20 25 30
Program C 10 40 160 650
Program D 15 80 400 1300
Program E 55 290 1550 8200
Example: TA(n)has order of growth n,the ratio TA(n)
nis between 1
1000 and 1
1000.
In some of the other cases, this ratio will not be exactly constant, more like“between 53 and 55”.
Remaining problems: problems 3, 5 and 7 from page 60 of the textbook.
Other notes. In class, we covered asymptotic notation, chapter 2.2 and we will continue with chapters 2.3 and
2.4 next week.
