537. Complex Number Multiplication
Explanation:
To multiply two complex numbers represented in the form of "a+bi", we need to perform the following steps:
- Parse the real and imaginary parts of both complex numbers.
- Calculate the real and imaginary parts of the result using the formula: (a1 * a2 - b1 * b2) + (a1 * b2 + a2 * b1)i, where a1, b1 are the real and imaginary parts of the first number, and a2, b2 are the real and imaginary parts of the second number.
- Format the result back into the string form "a+bi". :
class Solution {
public String complexNumberMultiply(String num1, String num2) {
String[] num1Parts = num1.split("\\+");
String[] num2Parts = num2.split("\\+");
int a1 = Integer.parseInt(num1Parts[0]);
int b1 = Integer.parseInt(num1Parts[1].replace("i", ""));
int a2 = Integer.parseInt(num2Parts[0]);
int b2 = Integer.parseInt(num2Parts[1].replace("i", ""));
int real = a1 * a2 - b1 * b2;
int imaginary = a1 * b2 + a2 * b1;
return real + "+" + imaginary + "i";
}
}Code Editor (Testing phase)
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