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34 lines
1.4 KiB
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<p>A <a href="https://en.wikipedia.org/wiki/Complex_number" target="_blank">complex number</a> can be represented as a string on the form <code>"<strong>real</strong>+<strong>imaginary</strong>i"</code> where:</p>
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<ul>
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<li><code>real</code> is the real part and is an integer in the range <code>[-100, 100]</code>.</li>
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<li><code>imaginary</code> is the imaginary part and is an integer in the range <code>[-100, 100]</code>.</li>
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<li><code>i<sup>2</sup> == -1</code>.</li>
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</ul>
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<p>Given two complex numbers <code>num1</code> and <code>num2</code> as strings, return <em>a string of the complex number that represents their multiplications</em>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> num1 = "1+1i", num2 = "1+1i"
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<strong>Output:</strong> "0+2i"
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<strong>Explanation:</strong> (1 + i) * (1 + i) = 1 + i2 + 2 * i = 2i, and you need convert it to the form of 0+2i.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> num1 = "1+-1i", num2 = "1+-1i"
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<strong>Output:</strong> "0+-2i"
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<strong>Explanation:</strong> (1 - i) * (1 - i) = 1 + i2 - 2 * i = -2i, and you need convert it to the form of 0+-2i.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>num1</code> and <code>num2</code> are valid complex numbers.</li>
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</ul>
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