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Let’s dig into our depth-first search function and consider: what do we actually want the algorithm to do for us?

  • Find out if a path exists between vertices and return True or False accordingly?
  • Return the distance between origin and destination that we get for the first path the function finds?
  • Return the path itself?

We’ll go with the third option here, which gives us the other information as well.

The beginning of our depth-first function will look something like this:

def dfs(graph, current_vertex, target_value, visited): set visited to empty list if not yet set add current_vertex to visited

Instructions

1.

At the top of script.py, define a function dfs that accepts the following as parameters:

  • graph (this is the graph that we pass in)
  • current_vertex (the value passed in will be the start vertex)
  • target_value (the value we are looking for)
  • visited (a list to collect the path of our algorithm) Give visited a default value of None. We won’t be passing any argument in for visited when we call the function; this parameter only exists here for the recursive calls!
2.

Now we want to make sure visited gets redefined if this isn’t a recursive call.

Inside the function body, set visited equal to an empty list only if it’s currently equal to None.

Let’s test out the code. Outside the if statement, return visited and print a call of dfs(None, None, None). Did you get the empty list?

3.

Above your return statement, add the current_vertex to the visited list — we want this to happen whether or not this is a recursive call.

Change the printed function call to have "bees?" as the current_vertex argument.

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