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" <small><i>This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges).</i></small> "
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" # Challenge Notebook "
]
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" ## Problem: Implement a graph. \n " ,
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" \n " ,
" * [Constraints](#Constraints) \n " ,
" * [Test Cases](#Test-Cases) \n " ,
" * [Algorithm](#Algorithm) \n " ,
" * [Code](#Code) \n " ,
" * [Unit Test](#Unit-Test) \n " ,
" * [Solution Notebook](#Solution-Notebook) "
]
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" ## Constraints \n " ,
" \n " ,
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" * Is the graph directed? \n " ,
" * Yes \n " ,
" * Do the edges have weights? \n " ,
" * Yes "
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]
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" ## Test Cases \n " ,
" \n " ,
" Input: \n " ,
" * `add_edge(source, destination, weight)` \n " ,
" \n " ,
" ``` \n " ,
" graph.add_edge(0, 1, 5) \n " ,
" graph.add_edge(0, 5, 2) \n " ,
" graph.add_edge(1, 2, 3) \n " ,
" graph.add_edge(2, 3, 4) \n " ,
" graph.add_edge(3, 4, 5) \n " ,
" graph.add_edge(3, 5, 6) \n " ,
" graph.add_edge(4, 0, 7) \n " ,
" graph.add_edge(5, 4, 8) \n " ,
" graph.add_edge(5, 2, 9) \n " ,
" ``` \n " ,
" \n " ,
" Result: \n " ,
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" * `source` and `destination` nodes within `graph` are connected with specified `weight`. \n " ,
" \n " ,
" Note: \n " ,
" * We ' ll be using an OrderedDict to make the outputs more consistent and simplify our testing. \n " ,
" * Graph will be used as a building block for more complex graph challenges. "
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]
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" ## Algorithm \n " ,
" \n " ,
" Refer to the [Solution Notebook](https://github.com/donnemartin/interactive-coding-challenges/graphs_trees/graphs/graph_solution.ipynb). If you are stuck and need a hint, the solution notebook ' s algorithm discussion might be a good place to start. "
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" ## Code "
]
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" from collections import OrderedDict \n " ,
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" \n " ,
" \n " ,
" class Node: \n " ,
" \n " ,
" def __init__(self, id): \n " ,
" # TODO: Implement me \n " ,
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" self.adjacent = OrderedDict() # key = node, val = weight \n " ,
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" \n " ,
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" def __str__(self): \n " ,
" return str(self.id) \n " ,
" \n " ,
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" \n " ,
" class Graph: \n " ,
" \n " ,
" def __init__(self): \n " ,
" # TODO: Implement me \n " ,
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" self.nodes = OrderedDict() # key = node id, val = node \n " ,
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" \n " ,
" def add_node(self, id): \n " ,
" # TODO: Implement me \n " ,
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" pass \n " ,
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" \n " ,
" def add_edge(self, source, dest, weight=0): \n " ,
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" # TODO: Implement me \n " ,
" pass "
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" ## Unit Test "
]
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" source " : [
" **The following unit test is expected to fail until you solve the challenge.** "
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" # %lo ad test_graph.py \n " ,
" from nose.tools import assert_equal \n " ,
" \n " ,
" \n " ,
" class TestGraph(object): \n " ,
" \n " ,
" def test_graph(self): \n " ,
" graph = Graph() \n " ,
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" for id in range(0, 6): \n " ,
" graph.add_node(id) \n " ,
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" graph.add_edge(0, 1, 5) \n " ,
" graph.add_edge(0, 5, 2) \n " ,
" graph.add_edge(1, 2, 3) \n " ,
" graph.add_edge(2, 3, 4) \n " ,
" graph.add_edge(3, 4, 5) \n " ,
" graph.add_edge(3, 5, 6) \n " ,
" graph.add_edge(4, 0, 7) \n " ,
" graph.add_edge(5, 4, 8) \n " ,
" graph.add_edge(5, 2, 9) \n " ,
" \n " ,
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" assert_equal(graph.nodes[0].adjacent[graph.nodes[1]], 5) \n " ,
" assert_equal(graph.nodes[0].adjacent[graph.nodes[5]], 2) \n " ,
" assert_equal(graph.nodes[1].adjacent[graph.nodes[2]], 3) \n " ,
" assert_equal(graph.nodes[2].adjacent[graph.nodes[3]], 4) \n " ,
" assert_equal(graph.nodes[3].adjacent[graph.nodes[4]], 5) \n " ,
" assert_equal(graph.nodes[3].adjacent[graph.nodes[5]], 6) \n " ,
" assert_equal(graph.nodes[4].adjacent[graph.nodes[0]], 7) \n " ,
" assert_equal(graph.nodes[5].adjacent[graph.nodes[4]], 8) \n " ,
" assert_equal(graph.nodes[5].adjacent[graph.nodes[2]], 9) \n " ,
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" \n " ,
" print( ' Success: test_graph ' ) \n " ,
" \n " ,
" \n " ,
" def main(): \n " ,
" test = TestGraph() \n " ,
" test.test_graph() \n " ,
" \n " ,
" \n " ,
" if __name__ == ' __main__ ' : \n " ,
" main() "
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" ## Solution Notebook \n " ,
" \n " ,
" Review the [Solution Notebook](https://github.com/donnemartin/interactive-coding-challenges/graphs_trees/graphs/graph_solution.ipynb) for a discussion on algorithms and code solutions. "
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