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add chapter9 exercises
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chapter9/dijkstra1.png
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chapter9/dijkstra1.png
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chapter9/dijkstra2.png
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chapter9/dijkstra2.png
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chapter9/dijkstra3.png
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chapter9/dijkstra3.png
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chapter9/ex171a.py
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chapter9/ex171a.py
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import logging
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import math
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logging.basicConfig(level=logging.DEBUG)
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logger = logging.getLogger(__name__)
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graph = {}
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graph["start"] = {}
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graph["start"]["a"] = 5
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graph["start"]["b"] = 2
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graph["a"] = {}
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graph["a"]["b"] = 8
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graph["a"]["c"] = 4
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graph["a"]["d"] = 2
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graph["b"] = {}
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graph["b"]["a"] = 8
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graph["b"]["d"] = 7
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graph["c"] = {}
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graph["c"]["d"] = 6
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graph["c"]["fin"] = 3
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graph["d"] = {}
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graph["d"]["fin"] = 1
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graph["fin"] = {}
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costs = {}
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costs["a"] = 5
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costs["b"] = 2
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costs["c"] = math.inf
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costs["d"] = math.inf
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costs["fin"] = math.inf
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parents = {}
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parents["a"] = "start"
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parents["b"] = "start"
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parents["c"] = None
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parents["d"] = None
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parents["fin"] = None
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processed = set()
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def find_lowest_cost_node(costs):
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lowest_cost = math.inf
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lowest_cost_node = None
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for node in costs:
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cost = costs[node]
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if cost < lowest_cost and node not in processed:
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lowest_cost = cost
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lowest_cost_node = node
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return lowest_cost_node
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node = find_lowest_cost_node(costs)
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while node is not None:
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cost = costs[node]
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neighbors = graph[node]
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for n in neighbors.keys():
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new_cost = cost + neighbors[n]
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if costs[n] > new_cost:
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costs[n] = new_cost
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parents[n] = node
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processed.add(node)
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node = find_lowest_cost_node(costs)
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print(f"lowest cost route: {costs['fin']}")
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route = []
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next = "fin"
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while next != "start":
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route.append(next)
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next = parents[next]
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route.append("start")
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print(f"route: {list(reversed(route))}")
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chapter9/ex171b.py
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chapter9/ex171b.py
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import logging
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import math
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logging.basicConfig(level=logging.DEBUG)
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logger = logging.getLogger(__name__)
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graph = {}
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graph["start"] = {}
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graph["start"]["a"] = 10
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graph["a"] = {}
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graph["a"]["c"] = 20
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graph["b"] = {}
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graph["b"]["a"] = 1
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graph["b"]["c"] = 1
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graph["c"] = {}
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graph["c"]["b"] = 1
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graph["c"]["fin"] = 30
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graph["fin"] = {}
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costs = {}
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costs["a"] = 10
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costs["b"] = math.inf
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costs["c"] = math.inf
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costs["fin"] = math.inf
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parents = {}
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parents["a"] = "start"
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parents["b"] = None
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parents["c"] = None
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parents["fin"] = None
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processed = set()
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def find_lowest_cost_node(costs):
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lowest_cost = math.inf
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lowest_cost_node = None
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for node in costs:
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cost = costs[node]
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if cost < lowest_cost and node not in processed:
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lowest_cost = cost
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lowest_cost_node = node
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return lowest_cost_node
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node = find_lowest_cost_node(costs)
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while node is not None:
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cost = costs[node]
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neighbors = graph[node]
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for n in neighbors.keys():
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new_cost = cost + neighbors[n]
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if costs[n] > new_cost:
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costs[n] = new_cost
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parents[n] = node
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processed.add(node)
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node = find_lowest_cost_node(costs)
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print(f"lowest cost route: {costs['fin']}")
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chapter9/ex171c.py
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chapter9/ex171c.py
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import logging
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import math
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logging.basicConfig(level=logging.DEBUG)
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logger = logging.getLogger(__name__)
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graph = {}
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graph["start"] = {}
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graph["start"]["a"] = 2
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graph["start"]["b"] = 2
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graph["a"] = {}
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graph["a"]["b"] = 2
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graph["b"] = {}
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graph["b"]["c"] = 2
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graph["b"]["fin"] = 2
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graph["c"] = {}
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graph["c"]["fin"] = 2
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graph["fin"] = {}
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costs = {}
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costs["a"] = 2
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costs["b"] = 2
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costs["c"] = math.inf
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costs["fin"] = math.inf
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parents = {}
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parents["a"] = "start"
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parents["b"] = "start"
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parents["c"] = None
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parents["fin"] = None
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processed = set()
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def find_lowest_cost_node(costs):
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lowest_cost = math.inf
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lowest_cost_node = None
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for node in costs:
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cost = costs[node]
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if cost < lowest_cost and node not in processed:
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lowest_cost = cost
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lowest_cost_node = node
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return lowest_cost_node
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node = find_lowest_cost_node(costs)
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while node is not None:
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cost = costs[node]
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neighbors = graph[node]
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for n in neighbors.keys():
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new_cost = cost + neighbors[n]
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if costs[n] > new_cost:
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costs[n] = new_cost
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parents[n] = node
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processed.add(node)
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node = find_lowest_cost_node(costs)
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print(f"lowest cost route: {costs['fin']}")
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10
chapter9/examples/heaptest.py
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chapter9/examples/heaptest.py
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import heapq
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customers = []
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heapq.heappush(customers, (2, "Harry"))
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heapq.heappush(customers, (3, "Charles"))
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heapq.heappush(customers, (1, "Riya"))
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heapq.heappush(customers, (4, "Stacy"))
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while customers:
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print(heapq.heappop(customers))
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14
chapter9/examples/list.py
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chapter9/examples/list.py
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customers = []
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customers.append((2, "Harry")) # no sort needed here because 1 item.
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customers.append((3, "Charles"))
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customers.sort(reverse=True)
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# Need to sort to maintain order
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customers.append((1, "Riya"))
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customers.sort(reverse=True)
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# Need to sort to maintain order
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customers.append((4, "Stacy"))
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customers.sort(reverse=True)
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while customers:
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print(customers.pop(0))
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# Will print names in the order: Stacy, Charles, Harry, Riya.
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chapter9/examples/priorityqueuetest.py
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chapter9/examples/priorityqueuetest.py
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from queue import PriorityQueue
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customers = (
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PriorityQueue()
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) # we initialise the PQ class instead of using a function to operate upon a list.
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customers.put((2, "Harry"))
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customers.put((3, "Charles"))
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customers.put((1, "Riya"))
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customers.put((4, "Stacy"))
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while customers:
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print(customers.get())
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chapter9/rama.py
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chapter9/rama.py
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import logging
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import math
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logging.basicConfig(level=logging.DEBUG)
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logger = logging.getLogger(__name__)
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### setup the graph
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graph = {}
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graph["start"] = {}
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graph["start"]["a"] = 6
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graph["start"]["b"] = 2
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graph["a"] = {}
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graph["a"]["fin"] = 1
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graph["b"] = {}
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graph["b"]["a"] = 3
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graph["b"]["fin"] = 5
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graph["fin"] = {}
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### set up costs
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costs = {}
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costs["a"] = 6
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costs["b"] = 2
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costs["fin"] = math.inf
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### setup parents
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parents = {}
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parents["a"] = "start"
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parents["b"] = "start"
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parents["fin"] = None
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### our processed queue
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processed = set()
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### algorithm
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def find_lowest_cost_node(costs):
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lowest_cost = math.inf
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lowest_cost_node = None
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for node in costs:
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cost = costs[node]
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if cost < lowest_cost and node not in processed:
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lowest_cost = cost
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lowest_cost_node = node
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return lowest_cost_node
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node = find_lowest_cost_node(costs) # find lowest-cost node not already processed
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while node is not None:
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cost = costs[node]
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neighbors = graph[node]
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logger.debug(f"node: {node} cost: {cost} neighbor: {neighbors}")
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for n in neighbors.keys():
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new_cost = cost + neighbors[n]
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if costs[n] > new_cost:
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costs[n] = new_cost
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parents[n] = node
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processed.add(node)
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logger.debug(f"processed: {processed}")
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node = find_lowest_cost_node(costs)
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route = []
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next = "fin"
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while next != "start":
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route.append(next)
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next = parents[next]
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route.append("start")
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print(f"route: {list(reversed(route))}")
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