Why does my Python solution only fails the last test case 33/34

  • 0

    My Python DFS solution passes 33/34 test cases, the last test case has 500 courses so I could not paste the input here. Could anyone take a look at my code and see if there is a logical flaw. I hope the code is well documented. Thanks!

    class Solution(object):
        def canFinish(self, numCourses, prerequisites):
            :type numCourses: int
            :type prerequisites: List[List[int]]
            :rtype: bool
            global vertices, cycle
            # special case
            if prerequisites == []:
                return True
            vertices = {}  # store node and a list of its neigobors; such as key --> value (do key first, then value)
            cycle = False  # a global flag, if a cycle is detected, set it to True
            # initialize the vertices dictionary
            for pair in prerequisites:
                if pair[1] not in vertices:
                    vertices[pair[1]] = [pair[0]]
            # we do a DFS here
            return not self.helper(prerequisites[0][1], set([]))
        def helper(self, node, stack):
            """An implementation of DFS
               node is the current node to be explored
               stack is a list of nodes to be revisited (we haven't explored all of their neighbors yet so we store them into a set)
            global cycle
            if cycle == True:
                # don't need to go further, because we know there is at least one cycle
                return cycle
            if node in vertices:
                # start exploring this node
                for neighbor in vertices[node]:
                    if neighbor in stack:
                        # we have seen neighbor before, there is a cycle!
                        cycle = True
                    self.helper(neighbor, stack)
                # finish exploring this node
            return cycle

  • 1

    I meet the same mistake with you, If you find the answer, could you tell me? Thank you very much

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