## 题目描述：

LeetCode 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.

## 题目大意：

1. 输入字符串不包含额外空格
2. 输入字符串以a+bi给出，其中a与b都是[-100, 100]范围的整数。输出采用同样形式

## Python代码：

``````class Solution(object):
def complexNumberMultiply(self, a, b):
"""
:type a: str
:type b: str
:rtype: str
"""
extract = lambda s : map(int, s[:-1].split('+'))
m, n = extract(a)
p, q = extract(b)
return '%s+%si' % (m * p - n * q, m * q + n * p)
``````

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