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537. Complex Number Multiplication

Given two strings representing two complex numbers.

You need to return a string representing their multiplication. Note i2 = -1 according to the definition.

Example 1:

Input: "1+1i", "1+1i" Output: "0+2i" Explanation: (1 + i) * (1 + i) = 1 + i2 + 2 * i = 2i, and you need convert it to the form of 0+2i.

Example 2:

Input: "1+-1i", "1+-1i" Output: "0+-2i" Explanation: (1 - i) * (1 - i) = 1 + i2 - 2 * i = -2i, and you need convert it to the form of 0+-2i.

Note:

  1. The input strings will not have extra blank.
  2. The input strings will be given in the form of a+bi, where the integer a and b will both belong to the range of [-100, 100]. And the output should be also in this form.

Solutions (Python)

1. Solution

classSolution: defcomplexNumberMultiply(self, a: str, b: str) ->str: a= [int(x) forxina[:-1].split('+')] b= [int(x) forxinb[:-1].split('+')] c=a[0] *b[0] -a[1] *b[1] d=a[0] *b[1] +a[1] *b[0] return"%d+%di"% (c, d)
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