|
| 1 | +from itertools import product |
| 2 | +from typing import List |
| 3 | + |
| 4 | + |
| 5 | +class Solution: |
| 6 | + def checkIfPrerequisite( |
| 7 | + self, numCourses: int, prerequisites: List[List[int]], queries: List[List[int]] |
| 8 | + ) -> List[bool]: |
| 9 | + is_prerequisite = [[False] * numCourses for _ in range(numCourses)] |
| 10 | + for u, v in prerequisites: |
| 11 | + is_prerequisite[u][v] = True |
| 12 | + |
| 13 | + for inter in range(numCourses): |
| 14 | + for u, v in product(range(numCourses), range(numCourses)): |
| 15 | + is_prerequisite[u][v] |= is_prerequisite[u][inter] and is_prerequisite[inter][v] |
| 16 | + |
| 17 | + return [is_prerequisite[u][v] for u, v in queries] |
| 18 | + |
| 19 | + |
| 20 | +def main(): |
| 21 | + numCourses = 2 |
| 22 | + prerequisites = [[1, 0]] |
| 23 | + queries = [[0, 1], [1, 0]] |
| 24 | + assert Solution().checkIfPrerequisite(numCourses, prerequisites, queries) == [False, True] |
| 25 | + |
| 26 | + numCourses = 2 |
| 27 | + prerequisites = [] |
| 28 | + queries = [[1, 0], [0, 1]] |
| 29 | + assert Solution().checkIfPrerequisite(numCourses, prerequisites, queries) == [False, False] |
| 30 | + |
| 31 | + numCourses = 3 |
| 32 | + prerequisites = [[1, 2], [1, 0], [2, 0]] |
| 33 | + queries = [[1, 0], [1, 2]] |
| 34 | + assert Solution().checkIfPrerequisite(numCourses, prerequisites, queries) == [True, True] |
| 35 | + |
| 36 | + |
| 37 | +if __name__ == '__main__': |
| 38 | + main() |
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