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
.
You are also given an array queries
where queries[j] = [uj, vj]
. For the jth
query, you should answer whether the course uj
is a prerequisite of the course vj
or not. Note that if course a
is a prerequisite of course b
and course b
is a prerequisite of course c
, then, course a
is a prerequisite of course c
.
Return a boolean array answer
, where answer[j]
is the answer of the jth
query.
Example 1:
Input: numCourses = 2, prerequisites = [[1,0]], queries = [[0,1],[1,0]]
Output: [false,true]
Explanation: course 0 is not a prerequisite of course 1 but the opposite is true.
Example 2:
Input: numCourses = 2, prerequisites = [], queries = [[1,0],[0,1]]
Output: [false,false]
Explanation: There are no prerequisites and each course is independent.
Example 3:
Input: numCourses = 3, prerequisites = [[1,2],[1,0],[2,0]], queries = [[1,0],[1,2]]
Output: [true,true]
Constraints:
2 <= numCourses <= 100
0 <= prerequisite.length <= (numCourses * (numCourses - 1) / 2)
0 <= ai, bi < n
ai != bi
- All the pairs
[ai, bi]
are unique.
- The prerequisites graph has no cycles.
1 <= queries.length <= 104
0 <= ui, vi < n
ui != vi
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
.
You are also given an array queries
where queries[j] = [uj, vj]
. For the jth
query, you should answer whether the course uj
is a prerequisite of the course vj
or not. Note that if course a
is a prerequisite of course b
and course b
is a prerequisite of course c
, then, course a
is a prerequisite of course c
.
Return a boolean array answer
, where answer[j]
is the answer of the jth
query.
Example 1:
Input: numCourses = 2, prerequisites = [[1,0]], queries = [[0,1],[1,0]]
Output: [false,true]
Explanation: course 0 is not a prerequisite of course 1 but the opposite is true.
Example 2:
Input: numCourses = 2, prerequisites = [], queries = [[1,0],[0,1]]
Output: [false,false]
Explanation: There are no prerequisites and each course is independent.
Example 3:
Input: numCourses = 3, prerequisites = [[1,2],[1,0],[2,0]], queries = [[1,0],[1,2]]
Output: [true,true]
Constraints:
2 <= numCourses <= 100
0 <= prerequisite.length <= (numCourses * (numCourses - 1) / 2)
0 <= ai, bi < n
ai != bi
- All the pairs
[ai, bi]
are unique.
- The prerequisites graph has no cycles.
1 <= queries.length <= 104
0 <= ui, vi < n
ui != vi