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Fix bugs and typo errors in closest_pair_of_points.py
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divide_and_conquer/closest_pair_of_points.py

Lines changed: 28 additions & 17 deletions
Original file line numberDiff line numberDiff line change
@@ -18,25 +18,32 @@
1818
1919
Time complexity: O(n * log n)
2020
"""
21+
from __future__ import annotations
2122

23+
from typing import Any
2224

23-
def euclidean_distance_sqr(point1, point2):
25+
26+
def euclidean_distance_sqr(
27+
point1: list[Any] | tuple[Any, ...], point2: list[Any] | tuple[Any, ...]
28+
) -> float:
2429
"""
25-
>>> euclidean_distance_sqr([1,2],[2,4])
30+
>>> euclidean_distance_sqr([1, 2], [2, 4])
2631
5
2732
"""
2833
return (point1[0] - point2[0]) ** 2 + (point1[1] - point2[1]) ** 2
2934

3035

31-
def column_based_sort(array, column=0):
36+
def column_based_sort(array: list[Any], column: int = 0) -> list[Any]:
3237
"""
3338
>>> column_based_sort([(5, 1), (4, 2), (3, 0)], 1)
3439
[(3, 0), (5, 1), (4, 2)]
3540
"""
3641
return sorted(array, key=lambda x: x[column])
3742

3843

39-
def dis_between_closest_pair(points, points_counts, min_dis=float("inf")):
44+
def dis_between_closest_pair(
45+
points: list[Any], points_counts: int, min_dis: float = float("inf")
46+
) -> float:
4047
"""
4148
brute force approach to find distance between closest pair points
4249
@@ -46,7 +53,7 @@ def dis_between_closest_pair(points, points_counts, min_dis=float("inf")):
4653
Returns :
4754
min_dis (float): distance between closest pair of points
4855
49-
>>> dis_between_closest_pair([[1,2],[2,4],[5,7],[8,9],[11,0]],5)
56+
>>> dis_between_closest_pair([[1, 2], [2, 4], [5, 7], [8, 9], [11, 0]], 5)
5057
5
5158
5259
"""
@@ -58,7 +65,9 @@ def dis_between_closest_pair(points, points_counts, min_dis=float("inf")):
5865
return min_dis
5966

6067

61-
def dis_between_closest_in_strip(points, points_counts, min_dis=float("inf")):
68+
def dis_between_closest_in_strip(
69+
points: list[Any], points_counts: int, min_dis: float = float("inf")
70+
) -> float:
6271
"""
6372
closest pair of points in strip
6473
@@ -68,18 +77,20 @@ def dis_between_closest_in_strip(points, points_counts, min_dis=float("inf")):
6877
Returns :
6978
min_dis (float): distance btw closest pair of points in the strip (< min_dis)
7079
71-
>>> dis_between_closest_in_strip([[1,2],[2,4],[5,7],[8,9],[11,0]],5)
72-
85
80+
>>> dis_between_closest_in_strip([[1, 2], [2, 4], [5, 7], [8, 9], [11, 0]], 5)
81+
5
7382
"""
7483

75-
for i in range(min(6, points_counts - 1), points_counts):
76-
for j in range(max(0, i - 6), i):
84+
for i in range(points_counts - 1):
85+
for j in range(i + 1, min(i + 6, points_counts)):
7786
current_dis = euclidean_distance_sqr(points[i], points[j])
7887
min_dis = min(min_dis, current_dis)
7988
return min_dis
8089

8190

82-
def closest_pair_of_points_sqr(points_sorted_on_x, points_sorted_on_y, points_counts):
91+
def closest_pair_of_points_sqr(
92+
points_sorted_on_x: list[Any], points_sorted_on_y: list[Any], points_counts: int
93+
) -> float:
8394
"""divide and conquer approach
8495
8596
Parameters :
@@ -88,7 +99,7 @@ def closest_pair_of_points_sqr(points_sorted_on_x, points_sorted_on_y, points_co
8899
Returns :
89100
(float): distance btw closest pair of points
90101
91-
>>> closest_pair_of_points_sqr([(1, 2), (3, 4)], [(5, 6), (7, 8)], 2)
102+
>>> closest_pair_of_points_sqr([(1, 2), (3, 4)], [(1, 2), (3, 4)], 2)
92103
8
93104
"""
94105

@@ -99,10 +110,10 @@ def closest_pair_of_points_sqr(points_sorted_on_x, points_sorted_on_y, points_co
99110
# recursion
100111
mid = points_counts // 2
101112
closest_in_left = closest_pair_of_points_sqr(
102-
points_sorted_on_x, points_sorted_on_y[:mid], mid
113+
points_sorted_on_x[:mid], points_sorted_on_y, mid
103114
)
104115
closest_in_right = closest_pair_of_points_sqr(
105-
points_sorted_on_y, points_sorted_on_y[mid:], points_counts - mid
116+
points_sorted_on_x[mid:], points_sorted_on_y, points_counts - mid
106117
)
107118
closest_pair_dis = min(closest_in_left, closest_in_right)
108119

@@ -112,7 +123,7 @@ def closest_pair_of_points_sqr(points_sorted_on_x, points_sorted_on_y, points_co
112123
"""
113124

114125
cross_strip = []
115-
for point in points_sorted_on_x:
126+
for point in points_sorted_on_y:
116127
if abs(point[0] - points_sorted_on_x[mid][0]) < closest_pair_dis:
117128
cross_strip.append(point)
118129

@@ -122,9 +133,9 @@ def closest_pair_of_points_sqr(points_sorted_on_x, points_sorted_on_y, points_co
122133
return min(closest_pair_dis, closest_in_strip)
123134

124135

125-
def closest_pair_of_points(points, points_counts):
136+
def closest_pair_of_points(points: list[Any], points_counts: int) -> float:
126137
"""
127-
>>> closest_pair_of_points([(2, 3), (12, 30)], len([(2, 3), (12, 30)]))
138+
>>> closest_pair_of_points([(2, 3), (12, 30)], 2)
128139
28.792360097775937
129140
"""
130141
points_sorted_on_x = column_based_sort(points, column=0)

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