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1.INTRODUCTION

A visually appealing graphic showing algorithms, data structures, and complexity analysis in a classroom setting, with elements like graphs, charts, and coding snippets present.

Algorithm Complexity Quiz

Test your understanding of algorithm complexity and data structures with our engaging quiz! Dive into topics such as the greatest common divisor computation, loop performance analysis, and algorithmic time complexity in different scenarios.

This quiz covers a variety of key concepts:

Understanding GCD and loop behavior
Counting iterations and performance comparisons
Algorithm phases and their complexities
Optimal data structures for flight management

5 Questions1 MinutesCreated by CalculatingCat92

In the code fragment below, start and end are integer values and gcd(x,y) is afunction that computes the greatest common divisor of x and y. I := 0; j := 0; k := 0; for (m := start; m <= end; m := m+1){ if (gcd(m,9381) > 2){ I := I + m; k := k + m; }else{ j := j + m; k := k + m; } } At the end of the loop which of the following expresses a valid relation between I, j and k?

K < i+j

K = i+j

K > i+j

Depends on the values of start and end

How many times is the comparison I >= n performed in the following program?int I = 200, n = 110;main(){ while (i >= n){ I = i-1; n = n+1; }}

An algorithm has two phases. The first phase, initialization, takes time O(n2 log n). The second phase, which is the main computation, takes time O(n3). What is the most accurate description of the complexity of the overall algorithm?

O(n2 log n)

O(n3 log n)

O(n3)

O(n3 + log n)

How do we represent the complexity of an algorithm?

Big-R

Big-O

Big-N

Big-A

An airline serves 200 cities and runs 1100 direct flights each day between these cities.Which of the following is a good data structure to represent the collection of flights?

A 200 × 200 array A, where A[i][j] = 1 if there is a direct flight from city I to city j and 0 otherwise.

A stack containing values (i, j) for each pair of cities I, j for which there is a direct flight from city ito city j

A queue containing values (i,j) for each pair of cities I, j for which there is a direct flight from cityi to city j.

A list containing values (i, j) for each pair of cities I, j for which there is a direct flight from city I to city j

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