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leetcode-problemset/leetcode/problem/minimize-xor.html
2022-10-07 21:03:28 +08:00

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<p>Given two positive integers <code>num1</code> and <code>num2</code>, find the integer <code>x</code> such that:</p>
<ul>
<li><code>x</code> has the same number of set bits as <code>num2</code>, and</li>
<li>The value <code>x XOR num1</code> is <strong>minimal</strong>.</li>
</ul>
<p>Note that <code>XOR</code> is the bitwise XOR operation.</p>
<p>Return <em>the integer </em><code>x</code>. The test cases are generated such that <code>x</code> is <strong>uniquely determined</strong>.</p>
<p>The number of <strong>set bits</strong> of an integer is the number of <code>1</code>&#39;s in its binary representation.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<pre>
<strong>Input:</strong> num1 = 3, num2 = 5
<strong>Output:</strong> 3
<strong>Explanation:</strong>
The binary representations of num1 and num2 are 0011 and 0101, respectively.
The integer <strong>3</strong> has the same number of set bits as num2, and the value <code>3 XOR 3 = 0</code> is minimal.
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> num1 = 1, num2 = 12
<strong>Output:</strong> 3
<strong>Explanation:</strong>
The binary representations of num1 and num2 are 0001 and 1100, respectively.
The integer <strong>3</strong> has the same number of set bits as num2, and the value <code>3 XOR 1 = 2</code> is minimal.
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= num1, num2 &lt;= 10<sup>9</sup></code></li>
</ul>