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leetcode-problemset/leetcode-cn/problem (English)/丢失的数字(English) [missing-number].html
2025-09-29 14:43:44 +08:00

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<p>Given an array <code>nums</code> containing <code>n</code> distinct numbers in the range <code>[0, n]</code>, return <em>the only number in the range that is missing from the array.</em></p>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [3,0,1]</span></p>
<p><strong>Output:</strong> <span class="example-io">2</span></p>
<p><strong>Explanation:</strong></p>
<p><code>n = 3</code> since there are 3 numbers, so all numbers are in the range <code>[0,3]</code>. 2 is the missing number in the range since it does not appear in <code>nums</code>.</p>
</div>
<p><strong class="example">Example 2:</strong></p>
<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [0,1]</span></p>
<p><strong>Output:</strong> <span class="example-io">2</span></p>
<p><strong>Explanation:</strong></p>
<p><code>n = 2</code> since there are 2 numbers, so all numbers are in the range <code>[0,2]</code>. 2 is the missing number in the range since it does not appear in <code>nums</code>.</p>
</div>
<p><strong class="example">Example 3:</strong></p>
<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [9,6,4,2,3,5,7,0,1]</span></p>
<p><strong>Output:</strong> <span class="example-io">8</span></p>
<p><strong>Explanation:</strong></p>
<p><code>n = 9</code> since there are 9 numbers, so all numbers are in the range <code>[0,9]</code>. 8 is the missing number in the range since it does not appear in <code>nums</code>.</p>
</div>
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<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>n == nums.length</code></li>
<li><code>1 &lt;= n &lt;= 10<sup>4</sup></code></li>
<li><code>0 &lt;= nums[i] &lt;= n</code></li>
<li>All the numbers of <code>nums</code> are <strong>unique</strong>.</li>
</ul>
<p>&nbsp;</p>
<p><strong>Follow up:</strong> Could you implement a solution using only <code>O(1)</code> extra space complexity and <code>O(n)</code> runtime complexity?</p>