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leetcode-problemset/leetcode-cn/originData/product-of-array-except-self.json
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{
"data": {
"question": {
"questionId": "238",
"questionFrontendId": "238",
"categoryTitle": "Algorithms",
"boundTopicId": 1627,
"title": "Product of Array Except Self",
"titleSlug": "product-of-array-except-self",
"content": "<p>Given an integer array <code>nums</code>, return <em>an array</em> <code>answer</code> <em>such that</em> <code>answer[i]</code> <em>is equal to the product of all the elements of</em> <code>nums</code> <em>except</em> <code>nums[i]</code>.</p>\n\n<p>The product of any prefix or suffix of <code>nums</code> is <strong>guaranteed</strong> to fit in a <strong>32-bit</strong> integer.</p>\n\n<p>You must write an algorithm that runs in&nbsp;<code>O(n)</code>&nbsp;time and without using the division operation.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<pre><strong>Input:</strong> nums = [1,2,3,4]\n<strong>Output:</strong> [24,12,8,6]\n</pre><p><strong class=\"example\">Example 2:</strong></p>\n<pre><strong>Input:</strong> nums = [-1,1,0,-3,3]\n<strong>Output:</strong> [0,0,9,0,0]\n</pre>\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>-30 &lt;= nums[i] &lt;= 30</code></li>\n\t<li>The product of any prefix or suffix of <code>nums</code> is <strong>guaranteed</strong> to fit in a <strong>32-bit</strong> integer.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up:</strong>&nbsp;Can you solve the problem in <code>O(1)</code>&nbsp;extra&nbsp;space complexity? (The output array <strong>does not</strong> count as extra space for space complexity analysis.)</p>\n",
"translatedTitle": "除自身以外数组的乘积",
"translatedContent": "<p>给你一个整数数组&nbsp;<code>nums</code>,返回 数组&nbsp;<code>answer</code>&nbsp;,其中&nbsp;<code>answer[i]</code>&nbsp;等于&nbsp;<code>nums</code>&nbsp;中除&nbsp;<code>nums[i]</code>&nbsp;之外其余各元素的乘积&nbsp;。</p>\n\n<p>题目数据 <strong>保证</strong> 数组&nbsp;<code>nums</code>之中任意元素的全部前缀元素和后缀的乘积都在&nbsp; <strong>32 位</strong> 整数范围内。</p>\n\n<p>请&nbsp;<strong>不要使用除法,</strong>且在&nbsp;<code>O(n)</code> 时间复杂度内完成此题。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = <code>[1,2,3,4]</code>\n<strong>输出:</strong> <code>[24,12,8,6]</code>\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [-1,1,0,-3,3]\n<strong>输出:</strong> [0,0,9,0,0]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>-30 &lt;= nums[i] &lt;= 30</code></li>\n\t<li><strong>保证</strong> 数组&nbsp;<code>nums</code>之中任意元素的全部前缀元素和后缀的乘积都在&nbsp; <strong>32 位</strong> 整数范围内</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>进阶:</strong>你可以在 <code>O(1)</code>&nbsp;的额外空间复杂度内完成这个题目吗?( 出于对空间复杂度分析的目的,输出数组&nbsp;<strong>不被视为&nbsp;</strong>额外空间。)</p>\n",
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"Think how you can efficiently utilize prefix and suffix products to calculate the product of all elements except self for each index. Can you pre-compute the prefix and suffix products in linear time to avoid redundant calculations?",
"Can you minimize additional space usage by reusing memory or modifying the input array to store intermediate results?"
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