1. Consider the following algorithm: for ( i = 1 ; i <= 1 . 5 n ; i++) cout << i ; for ( i = n ; i >= 1 ; i - - ) cout << i ; (a) What is the output when n = 2, n = 4, and n = 6? (b) What is the time complexity T(n)? You may assume that the input n is divisible by 2.
2165Consider the following algorithm: j = 1 ; while ( j <= n/2) { i = 1 ; while ( i <= j ) { cout << j << i ; i++; } j++; } (a) What is the output when n = 6, n = 8, and n = 10? (b) What is the time complexity T(n)? You may assume that the input n is divisible by 2.
1 4449Consider the following algorithm: for ( i = 2 ; i <= n ; i++) { for ( j = 0 ; j <= n) { cout << i << j ; j = j + floor(n/4) ; } } (a) What is the output when n = 4 (b) What is the time complexity T(n). You may assume that n is divisible 4.
1287Consider the following algorithm, where the array A is indexed 1 through n: int add_them ( int n , int A[ ] ) { index i , j , k ; j = 0 ; for ( i = 1 ; i <= n ; i++) j = j + A[i] ; k = 1 ; for ( i = 1 ; i <= n ; i++) k = k + k ; return j + k ; } (a) If n = 5 and the array A contains 2, 5, 3, 7, and 8, what is returned? (b) What is the time complexity T(n) of the algorithm?
1844Give an algorithm for the following problem. Given a list of n distinct positive integers, partition the list into two sublists, each of size n/2, such that the difference between the sums of the integers in the two sublists is minimized. You may assume that n is a multiple of 2.
2186
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