Question
(10 pts) For each of the following program fragments compute the worst-case asymptotic time complexity (as a function of n ). Whenever it says loop
(10 pts) For each of the following program fragments compute the worst-case asymptotic time complexity (as a function of n). Whenever it says loop body you can assume that the constant number of statements are executed inside the body. Briefly explain how you obtained your answer (show your work by writing on the side of the pseudo-code the number of times the corresponding statements get executed. (Use summations when needed to express the number of times each of the loop bodies is executed.)
(a) for (i=1; 0 <= n-1; i++){ loop body
}
for (i=0; i <= n-2; i++){
for (j=i+1; j<= min(i+10, n-1); j++){ loop body
}
}
(b) for (i=0; i <= n-1; i++){ loop body
}
for (i=0; i <= n-1; i++){
for (j=i+1; j <= n-1; j++){ for (k = 0; k <= n-1; k++){
loop body
}
}
}
I'm entirely new to Data Structures and Algorithms, so I could sure use some help on approaching this problem, and even a step-by-step solution.
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