每日算法题 Course Prerequisites

Hi, here's your problem today. This problem was recently asked by Google:

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You are given a hash table where the key is a course code, and the value is a list of all the course codes that are prerequisites for the key. Return a valid ordering in which we can complete the courses. If no such ordering exists, return NULL.

Example:

{

  'CSC300': ['CSC100', 'CSC200'], 

  'CSC200': ['CSC100'], 

  'CSC100': []

}

This input should return the order that we need to take these courses:
['CSC100', 'CSC200', 'CSCS300']

Here's your starting point:

def courses_to_take(course_to_prereqs):

  # Fill this in.



courses = {

  'CSC300': ['CSC100', 'CSC200'], 

  'CSC200': ['CSC100'], 

  'CSC100': []

}



print courses_to_take(courses)

# ['CSC100', 'CSC200', 'CSC300']