# Definition for a point.
# class Point(object):
# def __init__(self, a=0, b=0):
# self.x = a
# self.y = b
class Solution(object):
def maxPoints(self, points):
"""
:type points: List[Point]
:rtype: int
"""
# map all possible angle
if points is None or len(points) == 0:
return 0
ls = len(points)
res = 0
for i in range(ls):
line_map = {}
overlap = max_point = 0
for j in range(i + 1, ls):
x, y = points[j].x - points[i].x, points[j].y - points[i].y
if x == 0 and y == 0:
overlap += 1
continue
gcd = self.generateGCD(x, y)
if gcd != 0:
x /= gcd
y /= gcd
if x in line_map:
if y in line_map[x]:
line_map[x][y] += 1
else:
line_map[x][y] = 1
else:
line_map[x] = {}
line_map[x][y] = 1
max_point = max(max_point, line_map[x][y])
res = max(res, max_point + overlap + 1)
return res
def generateGCD(self, x, y):
if y == 0:
return x
else:
return self.generateGCD(y, x % y)