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Solution.py
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Solution.py
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import math
class Points(object):
def __init__(self, x, y, z):
self.x = x
self.y = y
self.z = z
def __sub__(self, no):
return Points((self.x - no.x), (self.y - no.y), (self.z - no.z))
def dot(self, no):
return (self.x * no.x) + (self.y * no.y) + (self.z * no.z)
def cross(self, no):
return Points((self.y * no.z - self.z * no.y), (self.z * no.x - self.x * no.z), (self.x * no.y - self.y * no.x))
def absolute(self):
return pow((self.x ** 2 + self.y ** 2 + self.z ** 2), 0.5)
if __name__ == '__main__':
points = list()
for i in range(4):
a = map(float, raw_input().split())
points.append(a)
a, b, c, d = Points(*points[0]), Points(*points[1]), Points(*points[2]), Points(*points[3])
x = (b - a).cross(c - b)
y = (c - b).cross(d - c)
angle = math.acos(x.dot(y) / (x.absolute() * y.absolute()))
print '%.2f' % math.degrees(angle)