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Unformatted text preview: Homework 1 CSC122, Spring 2008 Due on Tuesday Feb 19 th at midnight. answers are in blue 1. Consider the following code fragment: for ( int i = 0; i < n  1; i++ ) { for ( int j = 0; j < n  1; j++ ) { cout << “Hello!” << endl; } } How many “Hello!”s are printed? Give an exact answer (in terms of n ) as well as an answer in O( ) notation. a) n 2 – 2n + 1 times, or (n1) 2 times b) O(n 2 ) 2. What is the O( ) of the following expressions? Explain your answers. (a) 1000 100 10 2 3 + + + n n n O(n 3 ) because O() is only a close estimation and you only keep the fastest growing term, which is n 3 . (b) 10 lg 2 + + n n n O(n 2 ) because O() is only a close estimation and you only keep the fastest growing term, which is n 2 . Consider the following function. void mystery( int n, int m ) { if ( m > n ) { System.out.print( m + “ “); mystery( m – 1, n ); } else if ( m < n ) { System.out.print( n + “ “); mystery( m + 1, n ); } else System.out.println( “Done” ); } What is the output of the following function call? mystery( 3, 3 )What is the output of the following function call?...
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This note was uploaded on 04/17/2008 for the course COMPUTER S 221 taught by Professor Kadija during the Spring '08 term at DePauw.
 Spring '08
 Kadija

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