1. What is the runtime complexity of your solution? 2. What is the space complexity of your solution? 4. 3. What data structure you have used to solve this problem? Is your solution optimum? If not, what may be the optimum solution?
1. What is the runtime complexity of your solution? 2. What is the space complexity of your solution? 4. 3. What data structure you have used to solve this problem? Is your solution optimum? If not, what may be the optimum solution?
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![There are a total of numCourses courses you have to take, labeled from 0 to numCourses - 1. You
are given an array prerequisites where prerequisites [i] = [a, b] indicates that
you must take course be first if you want to take course a..
For example, the pair [0, 1], indicates that to take course 0 you have to first take course 1.
Return the ordering of courses you should take to finish all courses. If there are many valid answers,
return any of them. If it is impossible to finish all courses, return an empty array.
Example 1:
Input: numCourses = 2, prerequisites = [[1,0]]
Output: [0,1]
Explanation: There are a total of 2 courses to take. To take course 1 you should have
finished course 0. So the correct course order is [0,1].
Example 2:
Input: numCourses = 4, prerequisites = [[1,0], [2,0],[3,1],[3,2]]
Output: [0,2,1,3]
Explanation: There are a total of 4 courses to take. To take course 3 you should have
finished both courses 1 and 2. Both courses 1 and 2 should be taken after you
finished course 0.
So one correct course order is [0,1,2,3]. Another correct ordering is [0,2,1,3].
Example 3:
Input: numCourses = 1, prerequisites =
[]
Output: [0]
Constraints:
●
●
●
●
1 <= numCourses <= 2000
0 <= prerequisites.length <= numCourses (numCourses - 1)
prerequisites [i].length == 2
0 <= a₁, b₁ < numCourses
a₁ != b₁
All the pairs [a, b] are distinct.
*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd05080c-4c7d-4108-a299-b8e3c0f9e704%2F13d24939-dca1-4bd3-8cee-32e0d392b957%2F8y5pzo6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:There are a total of numCourses courses you have to take, labeled from 0 to numCourses - 1. You
are given an array prerequisites where prerequisites [i] = [a, b] indicates that
you must take course be first if you want to take course a..
For example, the pair [0, 1], indicates that to take course 0 you have to first take course 1.
Return the ordering of courses you should take to finish all courses. If there are many valid answers,
return any of them. If it is impossible to finish all courses, return an empty array.
Example 1:
Input: numCourses = 2, prerequisites = [[1,0]]
Output: [0,1]
Explanation: There are a total of 2 courses to take. To take course 1 you should have
finished course 0. So the correct course order is [0,1].
Example 2:
Input: numCourses = 4, prerequisites = [[1,0], [2,0],[3,1],[3,2]]
Output: [0,2,1,3]
Explanation: There are a total of 4 courses to take. To take course 3 you should have
finished both courses 1 and 2. Both courses 1 and 2 should be taken after you
finished course 0.
So one correct course order is [0,1,2,3]. Another correct ordering is [0,2,1,3].
Example 3:
Input: numCourses = 1, prerequisites =
[]
Output: [0]
Constraints:
●
●
●
●
1 <= numCourses <= 2000
0 <= prerequisites.length <= numCourses (numCourses - 1)
prerequisites [i].length == 2
0 <= a₁, b₁ < numCourses
a₁ != b₁
All the pairs [a, b] are distinct.
*
Transcribed Image Text:1. What is the runtime complexity of your solution?
2. What is the space complexity of your solution?
3. What data structure you have used to solve this problem?
4. Is your solution optimum? If not, what may be the optimum
solution?
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