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Course Schedule

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Score: 40

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] = [ai, bi] indicates that you must take course bi first if you want to take course ai.

  • For example, the pair[0, 1], indicates that to take course 0 you have to first take course 1.

Return 1 if you can finish all the courses else return 0.

Input Format:

First Parameter - number numCourses

Second parameter - matrix prerequisites of size m x n

Output Format:

Return 1 if you can finish all the courses else return 0.

Example 1:

Input:
2
1 2
1 0
Output: 1
Explanation: 1 2 represents the size of the matrix. There are a total of 2 courses to take. 
To take course 1 you should have finished course 0. So it is possible.

Example 2:

2
2 2
1 0
0 1
output: 0
Explanation: 2 2 represents size of matrix .There are a total of 2 courses to take. 
To take course 1 you should have finished course 0, and to take course 0 you should also have finished course 1. So it is impossible.

Constraints:

  • 1 <= numCourses <= 2000
  • 0 <= prerequisites.length <= 5000
  • prerequisites[i].length == 2
  • 0 <= ai, bi < numCourses
  • Expected Time Complexity: O(m+n)
  • Expected Auxiliary Space: O(m+n)
  • All the pairs prerequisites[i] are unique
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