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solves clsses- complex numbers
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import math
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class Complex(object):
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def __init__(self, real, imaginary):
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self.real = real
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self.imaginary = imaginary
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def __add__(self, other):
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return Complex(self.real + other.real, self.imaginary + other.imaginary)
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def __sub__(self, other):
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return Complex(self.real - other.real, self.imaginary - other.imaginary)
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def __mul__(self, other):
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return Complex(
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self.real * other.real - self.imaginary * other.imaginary,
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self.real * other.imaginary + self.imaginary * other.real
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)
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def __truediv__(self, other):
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other_mod_2 = other.mod_square()
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answer = Complex(self.real / other_mod_2, self.imaginary / other_mod_2) * other.conjugate()
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return Complex(round(answer.real, 2), round(answer.imaginary, 2))
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def mod(self):
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return Complex(round(math.sqrt(self.mod_square()), 2), 0.00)
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def mod_square(self):
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return round(self.real * self.real + self.imaginary * self.imaginary, 2)
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def conjugate(self):
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return Complex(self.real, -self.imaginary)
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def __str__(self):
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if self.imaginary == 0:
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result = "%.2f+0.00i" % (self.real)
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elif self.real == 0:
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if self.imaginary >= 0:
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result = "0.00+%.2fi" % (self.imaginary)
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else:
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result = "0.00-%.2fi" % (abs(self.imaginary))
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elif self.imaginary > 0:
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result = "%.2f+%.2fi" % (self.real, self.imaginary)
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else:
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result = "%.2f-%.2fi" % (self.real, abs(self.imaginary))
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return result
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if __name__ == '__main__':
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c = map(float, input().split())
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d = map(float, input().split())
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x = Complex(*c)
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y = Complex(*d)
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print(*map(str, [x+y, x-y, x*y, x/y, x.mod(), y.mod()]), sep='\n')

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