Problem 2: Give the time complexity of the following code and explain the reason: (1) (2) for (i = 1; i < n; i *= 2 ) { } for(j= n; j > 0; j /= 2 ) { for (k = j; res } } } for (i = n; i > 0; i == 1) { for (j } <= n; k += 2 ) { i j + j * k) ; 1; j

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
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Problem 2:
Give the time complexity of the following code and explain the reason:
(1)
(2)
for (i = 1; i < n; i *= 2 ) {
}
for (j = n; j> 0; j /= 2 ) {
}
}
for (
for (k = j; k <= n; k += 2 ) {
res += (i* j + j * k );
(i = n; i > 0; i = 1 ) {
for (j
}
}
1; j < n; j *= 2 ) {
for (k = 0; k<j; k += 1 ) {
res += (i* j + j * k ) ;
}
=
Transcribed Image Text:Problem 2: Give the time complexity of the following code and explain the reason: (1) (2) for (i = 1; i < n; i *= 2 ) { } for (j = n; j> 0; j /= 2 ) { } } for ( for (k = j; k <= n; k += 2 ) { res += (i* j + j * k ); (i = n; i > 0; i = 1 ) { for (j } } 1; j < n; j *= 2 ) { for (k = 0; k<j; k += 1 ) { res += (i* j + j * k ) ; } =
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