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Add function docstrings, comments and type hints #10895

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19 changes: 19 additions & 0 deletions matrix/binary_search_matrix.py
Original file line number Diff line number Diff line change
Expand Up @@ -9,6 +9,10 @@ def binary_search(array: list, lower_bound: int, upper_bound: int, value: int) -
0
>>> binary_search(matrix, 0, len(matrix) - 1, 23)
-1
>>> binary_search(matrix, 0, len(matrix) - 1, 15)
4
>>> binary_search(matrix, 0, len(matrix) - 1, 7)
2
"""

r = int((lower_bound + upper_bound) // 2)
Expand Down Expand Up @@ -39,6 +43,21 @@ def mat_bin_search(value: int, matrix: list) -> list:
>>> target = 34
>>> mat_bin_search(target, matrix)
[-1, -1]
>>> target = 5
>>> mat_bin_search(target, matrix)
[1, 1]
>>> target = 23
>>> mat_bin_search(target, matrix)
[4, 2]
>>> target = 30
>>> mat_bin_search(target, matrix)
[4, 4]
>>> target = 19
>>> mat_bin_search(target, matrix)
[1, 4]
>>> target = 20
>>> mat_bin_search(target, matrix)
[-1, -1]
"""
index = 0
if matrix[index][0] == value:
Expand Down
44 changes: 37 additions & 7 deletions networking_flow/ford_fulkerson.py
Original file line number Diff line number Diff line change
Expand Up @@ -6,15 +6,32 @@
"""


def bfs(graph, s, t, parent):
# Return True if there is node that has not iterated.
visited = [False] * len(graph)
queue = []
def bfs(graph: list, s: int, t: int, parent: list) -> bool:
"""
This function returns True if there is node that has not iterated.

Args:
graph (list): Adjacency matrix of graph
s (int): Source
t (int): Sink
parent (list): Parent list

Returns:
bool: True if there is node that has not iterated.
"""

visited = [False] * len(graph) # Mark all nodes as not visited
queue = [] # BFS queue

# Source node
queue.append(s)
visited[s] = True

while queue:
# Pop the front node
u = queue.pop(0)

# Traverse all adjacent nodes of u
for ind in range(len(graph[u])):
if visited[ind] is False and graph[u][ind] > 0:
queue.append(ind)
Expand All @@ -24,12 +41,24 @@ def bfs(graph, s, t, parent):
return visited[t]


def ford_fulkerson(graph, source, sink):
def ford_fulkerson(graph: list, source: int, sink: int) -> int:
"""
This function returns maximum flow from source to sink in given graph.

Args:
graph (list): Adjacency matrix of graph
source (int): Source
sink (int): Sink

Returns:
int: Maximum flow
"""

# This array is filled by BFS and to store path
parent = [-1] * (len(graph))
max_flow = 0
while bfs(graph, source, sink, parent):
path_flow = float("Inf")
while bfs(graph, source, sink, parent): # While there is path from source to sink
path_flow = int(1e9) # Infinite value
s = sink

while s != source:
Expand All @@ -45,6 +74,7 @@ def ford_fulkerson(graph, source, sink):
graph[u][v] -= path_flow
graph[v][u] += path_flow
v = parent[v]

return max_flow


Expand Down