package leetcode_301To600;

/**
 * 本代码来自 Cspiration，由 @Cspiration 提供
 * 题目来源：http://leetcode.com
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 * - 节省刷题时间，效率提高2-3倍，初学者轻松一天10题，入门者轻松一天20题
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 * - 版权所有，转发请注明出处
 */
public class _537_ComplexNumberMultiplication {

    /**
     * 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.

     time : O(1)
     space : O(1)

     * @param a
     * @param b
     * @return
     */
    public String complexNumberMultiply(String a, String b) {
        String x[] = a.split("\\+|i");
        String y[] = b.split("\\+|i");
        int a_real = Integer.parseInt(x[0]);
        int a_img = Integer.parseInt(x[1]);
        int b_real = Integer.parseInt(y[0]);
        int b_img = Integer.parseInt(y[1]);
        return (a_real * b_real - a_img * b_img) + "+" + (a_real * b_img + a_img * b_real) + "i";
    }
}