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<p>Given an integer <code>n</code>, return <em>a binary string representing its representation in base</em> <code>-2</code>.</p>
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<p><strong>Note</strong> that the returned string should not have leading zeros unless the string is <code>"0"</code>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> n = 2
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<strong>Output:</strong> "110"
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<strong>Explantion:</strong> (-2)<sup>2</sup> + (-2)<sup>1</sup> = 2
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> n = 3
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<strong>Output:</strong> "111"
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<strong>Explantion:</strong> (-2)<sup>2</sup> + (-2)<sup>1</sup> + (-2)<sup>0</sup> = 3
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> n = 4
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<strong>Output:</strong> "100"
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<strong>Explantion:</strong> (-2)<sup>2</sup> = 4
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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>0 <= n <= 10<sup>9</sup></code></li>
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</ul>
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