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leetcode-problemset/leetcode-cn/problem (English)/统计异或值在范围内的数对有多少(English) [count-pairs-with-xor-in-a-range].html

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<p>Given a <strong>(0-indexed)</strong> integer array <code>nums</code> and two integers <code>low</code> and <code>high</code>, return <em>the number of <strong>nice pairs</strong></em>.</p>
<p>A <strong>nice pair</strong> is a pair <code>(i, j)</code> where <code>0 &lt;= i &lt; j &lt; nums.length</code> and <code>low &lt;= (nums[i] XOR nums[j]) &lt;= high</code>.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<pre>
<strong>Input:</strong> nums = [1,4,2,7], low = 2, high = 6
<strong>Output:</strong> 6
<strong>Explanation:</strong> All nice pairs (i, j) are as follows:
- (0, 1): nums[0] XOR nums[1] = 5
- (0, 2): nums[0] XOR nums[2] = 3
- (0, 3): nums[0] XOR nums[3] = 6
- (1, 2): nums[1] XOR nums[2] = 6
- (1, 3): nums[1] XOR nums[3] = 3
- (2, 3): nums[2] XOR nums[3] = 5
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> nums = [9,8,4,2,1], low = 5, high = 14
<strong>Output:</strong> 8
<strong>Explanation:</strong> All nice pairs (i, j) are as follows:
- (0, 2): nums[0] XOR nums[2] = 13
&nbsp; - (0, 3): nums[0] XOR nums[3] = 11
&nbsp; - (0, 4): nums[0] XOR nums[4] = 8
&nbsp; - (1, 2): nums[1] XOR nums[2] = 12
&nbsp; - (1, 3): nums[1] XOR nums[3] = 10
&nbsp; - (1, 4): nums[1] XOR nums[4] = 9
&nbsp; - (2, 3): nums[2] XOR nums[3] = 6
&nbsp; - (2, 4): nums[2] XOR nums[4] = 5</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= nums.length &lt;= 2 * 10<sup>4</sup></code></li>
<li><code>1 &lt;= nums[i] &lt;= 2 * 10<sup>4</sup></code></li>
<li><code>1 &lt;= low &lt;= high &lt;= 2 * 10<sup>4</sup></code></li>
</ul>