mirror of
https://github.com/onyx-and-iris/grokking-algorithms.git
synced 2025-01-18 08:40:52 +00:00
adds chapter9 exercises with heap and without
This commit is contained in:
parent
0cb2160e9e
commit
54e59680b7
51
chapter9/with_heap/ex171a.py
Normal file
51
chapter9/with_heap/ex171a.py
Normal file
@ -0,0 +1,51 @@
|
||||
import heapq
|
||||
import logging
|
||||
import math
|
||||
|
||||
logging.basicConfig(level=logging.DEBUG)
|
||||
logger = logging.getLogger(__name__)
|
||||
|
||||
graph = {
|
||||
"start": {"a": 5, "b": 2},
|
||||
"a": {"b": 8, "c": 4, "d": 2},
|
||||
"b": {"a": 8, "d": 7},
|
||||
"c": {"d": 6, "fin": 3},
|
||||
"d": {"fin": 1},
|
||||
"fin": {},
|
||||
}
|
||||
|
||||
|
||||
def dijkstra(graph, node):
|
||||
costs = {node: math.inf for node in graph}
|
||||
costs[node] = 0
|
||||
parents = {node: None for node in graph}
|
||||
queue = [(0, node)]
|
||||
|
||||
while queue:
|
||||
current_cost, current_node = heapq.heappop(queue)
|
||||
|
||||
for next_node, weight in graph[current_node].items():
|
||||
new_cost = current_cost + weight
|
||||
if new_cost < costs[next_node]:
|
||||
costs[next_node] = new_cost
|
||||
parents[next_node] = current_node
|
||||
heapq.heappush(queue, (new_cost, next_node))
|
||||
return costs, parents
|
||||
|
||||
|
||||
costs, parents = dijkstra(graph, "start")
|
||||
|
||||
print(f"lowest cost route: {costs['fin']}")
|
||||
|
||||
|
||||
def get_full_route():
|
||||
route = []
|
||||
next = "fin"
|
||||
while next != "start":
|
||||
route.append(next)
|
||||
next = parents[next]
|
||||
route.append("start")
|
||||
return list(reversed(route))
|
||||
|
||||
|
||||
print(f"route: {get_full_route()}")
|
36
chapter9/with_heap/ex171b.py
Normal file
36
chapter9/with_heap/ex171b.py
Normal file
@ -0,0 +1,36 @@
|
||||
import heapq
|
||||
import logging
|
||||
import math
|
||||
|
||||
logging.basicConfig(level=logging.DEBUG)
|
||||
logger = logging.getLogger(__name__)
|
||||
|
||||
graph = {
|
||||
"start": {"a": 10},
|
||||
"a": {"c": 20},
|
||||
"b": {"a": 1, "c": 1},
|
||||
"c": {"b": 1, "fin": 30},
|
||||
"fin": {},
|
||||
}
|
||||
|
||||
|
||||
def dijkstra(graph, node):
|
||||
costs = {node: math.inf for node in graph}
|
||||
costs[node] = 0
|
||||
parents = {node: None for node in graph}
|
||||
queue = [(0, node)]
|
||||
|
||||
while queue:
|
||||
current_cost, current_node = heapq.heappop(queue)
|
||||
|
||||
for next_node, weight in graph[current_node].items():
|
||||
new_cost = current_cost + weight
|
||||
if new_cost < costs[next_node]:
|
||||
costs[next_node] = new_cost
|
||||
parents[next_node] = current_node
|
||||
heapq.heappush(queue, (new_cost, next_node))
|
||||
return costs, parents
|
||||
|
||||
|
||||
costs, parents = dijkstra(graph, "start")
|
||||
print(f"lowest cost route: {costs['fin']}")
|
37
chapter9/with_heap/ex171c.py
Normal file
37
chapter9/with_heap/ex171c.py
Normal file
@ -0,0 +1,37 @@
|
||||
import heapq
|
||||
import logging
|
||||
import math
|
||||
|
||||
logging.basicConfig(level=logging.DEBUG)
|
||||
logger = logging.getLogger(__name__)
|
||||
|
||||
graph = {
|
||||
"start": {"a": 2, "b": 2},
|
||||
"a": {"b": 2},
|
||||
"b": {"c": 2, "fin": 2},
|
||||
"c": {"fin": 2},
|
||||
"fin": {},
|
||||
}
|
||||
|
||||
|
||||
def dijkstra(graph, node):
|
||||
costs = {node: math.inf for node in graph}
|
||||
costs[node] = 0
|
||||
parents = {node: None for node in graph}
|
||||
queue = [(0, node)]
|
||||
|
||||
while queue:
|
||||
current_cost, current_node = heapq.heappop(queue)
|
||||
|
||||
for next_node, weight in graph[current_node].items():
|
||||
new_cost = current_cost + weight
|
||||
if new_cost < costs[next_node]:
|
||||
costs[next_node] = new_cost
|
||||
parents[next_node] = current_node
|
||||
heapq.heappush(queue, (new_cost, next_node))
|
||||
return costs, parents
|
||||
|
||||
|
||||
costs, parents = dijkstra(graph, "start")
|
||||
|
||||
print(f"lowest cost route: {costs['fin']}")
|
@ -4,37 +4,30 @@ import math
|
||||
logging.basicConfig(level=logging.DEBUG)
|
||||
logger = logging.getLogger(__name__)
|
||||
|
||||
graph = {}
|
||||
graph["start"] = {}
|
||||
graph["start"]["a"] = 5
|
||||
graph["start"]["b"] = 2
|
||||
graph["a"] = {}
|
||||
graph["a"]["b"] = 8
|
||||
graph["a"]["c"] = 4
|
||||
graph["a"]["d"] = 2
|
||||
graph["b"] = {}
|
||||
graph["b"]["a"] = 8
|
||||
graph["b"]["d"] = 7
|
||||
graph["c"] = {}
|
||||
graph["c"]["d"] = 6
|
||||
graph["c"]["fin"] = 3
|
||||
graph["d"] = {}
|
||||
graph["d"]["fin"] = 1
|
||||
graph["fin"] = {}
|
||||
graph = {
|
||||
"start": {"a": 5, "b": 2},
|
||||
"a": {"b": 8, "c": 4, "d": 2},
|
||||
"b": {"a": 8, "d": 7},
|
||||
"c": {"d": 6, "fin": 3},
|
||||
"d": {"fin": 1},
|
||||
"fin": {},
|
||||
}
|
||||
|
||||
costs = {}
|
||||
costs["a"] = 5
|
||||
costs["b"] = 2
|
||||
costs["c"] = math.inf
|
||||
costs["d"] = math.inf
|
||||
costs["fin"] = math.inf
|
||||
costs = {
|
||||
"a": 5,
|
||||
"b": 2,
|
||||
"c": math.inf,
|
||||
"d": math.inf,
|
||||
"fin": math.inf,
|
||||
}
|
||||
|
||||
parents = {}
|
||||
parents["a"] = "start"
|
||||
parents["b"] = "start"
|
||||
parents["c"] = None
|
||||
parents["d"] = None
|
||||
parents["fin"] = None
|
||||
parents = {
|
||||
"a": "start",
|
||||
"b": "start",
|
||||
"c": None,
|
||||
"d": None,
|
||||
"fin": None,
|
||||
}
|
||||
|
||||
processed = set()
|
||||
|
||||
@ -63,11 +56,16 @@ while node is not None:
|
||||
node = find_lowest_cost_node(costs)
|
||||
|
||||
print(f"lowest cost route: {costs['fin']}")
|
||||
route = []
|
||||
next = "fin"
|
||||
while next != "start":
|
||||
route.append(next)
|
||||
next = parents[next]
|
||||
route.append("start")
|
||||
|
||||
print(f"route: {list(reversed(route))}")
|
||||
|
||||
def get_full_route():
|
||||
route = []
|
||||
next = "fin"
|
||||
while next != "start":
|
||||
route.append(next)
|
||||
next = parents[next]
|
||||
route.append("start")
|
||||
return list(reversed(route))
|
||||
|
||||
|
||||
print(f"route: {get_full_route()}")
|
@ -4,30 +4,27 @@ import math
|
||||
logging.basicConfig(level=logging.DEBUG)
|
||||
logger = logging.getLogger(__name__)
|
||||
|
||||
graph = {}
|
||||
graph["start"] = {}
|
||||
graph["start"]["a"] = 10
|
||||
graph["a"] = {}
|
||||
graph["a"]["c"] = 20
|
||||
graph["b"] = {}
|
||||
graph["b"]["a"] = 1
|
||||
graph["b"]["c"] = 1
|
||||
graph["c"] = {}
|
||||
graph["c"]["b"] = 1
|
||||
graph["c"]["fin"] = 30
|
||||
graph["fin"] = {}
|
||||
graph = {
|
||||
"start": {"a": 10},
|
||||
"a": {"c": 20},
|
||||
"b": {"a": 1, "c": 1},
|
||||
"c": {"b": 1, "fin": 30},
|
||||
"fin": {},
|
||||
}
|
||||
|
||||
costs = {}
|
||||
costs["a"] = 10
|
||||
costs["b"] = math.inf
|
||||
costs["c"] = math.inf
|
||||
costs["fin"] = math.inf
|
||||
costs = {
|
||||
"a": 10,
|
||||
"b": math.inf,
|
||||
"c": math.inf,
|
||||
"fin": math.inf,
|
||||
}
|
||||
|
||||
parents = {}
|
||||
parents["a"] = "start"
|
||||
parents["b"] = None
|
||||
parents["c"] = None
|
||||
parents["fin"] = None
|
||||
parents = {
|
||||
"a": "start",
|
||||
"b": None,
|
||||
"c": None,
|
||||
"fin": None,
|
||||
}
|
||||
|
||||
processed = set()
|
||||
|
@ -4,31 +4,28 @@ import math
|
||||
logging.basicConfig(level=logging.DEBUG)
|
||||
logger = logging.getLogger(__name__)
|
||||
|
||||
graph = {}
|
||||
graph["start"] = {}
|
||||
graph["start"]["a"] = 2
|
||||
graph["start"]["b"] = 2
|
||||
graph["a"] = {}
|
||||
graph["a"]["b"] = 2
|
||||
graph["b"] = {}
|
||||
graph["b"]["c"] = 2
|
||||
graph["b"]["fin"] = 2
|
||||
graph["c"] = {}
|
||||
graph["c"]["fin"] = 2
|
||||
graph["fin"] = {}
|
||||
graph = {
|
||||
"start": {"a": 2, "b": 2},
|
||||
"a": {"b": 2},
|
||||
"b": {"c": 2, "fin": 2},
|
||||
"c": {"fin": 2},
|
||||
"fin": {},
|
||||
}
|
||||
|
||||
|
||||
costs = {}
|
||||
costs["a"] = 2
|
||||
costs["b"] = 2
|
||||
costs["c"] = math.inf
|
||||
costs["fin"] = math.inf
|
||||
costs = {
|
||||
"a": 2,
|
||||
"b": 2,
|
||||
"c": math.inf,
|
||||
"fin": math.inf,
|
||||
}
|
||||
|
||||
parents = {}
|
||||
parents["a"] = "start"
|
||||
parents["b"] = "start"
|
||||
parents["c"] = None
|
||||
parents["fin"] = None
|
||||
parents = {
|
||||
"a": "start",
|
||||
"b": "start",
|
||||
"c": None,
|
||||
"fin": None,
|
||||
}
|
||||
|
||||
processed = set()
|
||||
|
Loading…
Reference in New Issue
Block a user