# quiz2solns - CMPS 10 Quiz 2 Fall 2007 Solutions 1. (6...

This preview shows pages 1–2. Sign up to view the full content.

CMPS 10 Fall 2007 Quiz 2 Solutions 1. (6 Points) Suppose algorithms A and B solve the same problem. On input of size n , algorithm A does 2 15 n basic operations, while algorithm B does 3 ) 05 (. n basic operations. a. (2 Points) Which of the two algorithms is most efficient for large n ? Answer: A is most efficient for large n b. (2 Points) For what value of n are the two algorithms equally efficient? Solution: 3 2 ) 05 (. 15 n n = ) 05 /(. 15 = n 300 = n c. (2 Points) How many basic operations would be performed by either algorithm on input of the size n you found in part (b)? Solution: 000 , 350 , 1 ) 300 ( 15 2 = basic operations 2. (8 Points) Trace the following algorithm. 1) 1 i 2) while 6 i 3) 1 j 4) while i j 5) print ‘happy’ 6) 1 + j j 7) 1 + i i 8) stop Determine the number of times line 5 is executed. In other words, determine the number of times the word ‘happy’ will be printed. Solution:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 09/15/2011 for the course CMPS 10 taught by Professor Tantalo during the Fall '08 term at University of California, Santa Cruz.

### Page1 / 2

quiz2solns - CMPS 10 Quiz 2 Fall 2007 Solutions 1. (6...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online