leetcode-problemset/leetcode-cn/originData/partition-array-into-two-equal-product-subsets.json

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            "questionId": "3843",
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            "title": "Partition Array into Two Equal Product Subsets",
            "titleSlug": "partition-array-into-two-equal-product-subsets",
            "content": "<p>You are given an integer array <code>nums</code> containing <strong>distinct</strong> positive integers and an integer <code>target</code>.</p>\n\n<p>Determine if you can partition <code>nums</code> into two <strong>non-empty</strong> <strong>disjoint</strong> <strong>subsets</strong>, with each element belonging to <strong>exactly one</strong> subset, such that the product of the elements in each subset is equal to <code>target</code>.</p>\n\n<p>Return <code>true</code> if such a partition exists and <code>false</code> otherwise.</p>\nA <strong>subset</strong> of an array is a selection of elements of the array.\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [3,1,6,8,4], target = 24</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong> The subsets <code>[3, 8]</code> and <code>[1, 6, 4]</code> each have a product of 24. Hence, the output is true.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [2,5,3,7], target = 15</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong> There is no way to partition <code>nums</code> into two non-empty disjoint subsets such that both subsets have a product of 15. Hence, the output is false.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 12</code></li>\n\t<li><code>1 &lt;= target &lt;= 10<sup>15</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n\t<li>All elements of <code>nums</code> are <strong>distinct</strong>.</li>\n</ul>\n",
            "translatedTitle": "等积子集的划分方案",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code>，其中包含的正整数&nbsp;<strong>互不相同&nbsp;</strong>，另给你一个整数 <code>target</code>。</p>\n\n<p>请判断是否可以将 <code>nums</code> 分成两个&nbsp;<strong>非空</strong>、<strong>互不相交&nbsp;</strong>的&nbsp;<strong>子集&nbsp;</strong>，并且每个元素必须 &nbsp;<strong>恰好 </strong>属于&nbsp;<strong>一个&nbsp;</strong>子集，使得这两个子集中元素的乘积都等于 <code>target</code>。</p>\n\n<p>如果存在这样的划分，返回 <code>true</code>；否则，返回 <code>false</code>。</p>\n\n<p><strong>子集&nbsp;</strong>是数组中元素的一个选择集合。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [3,1,6,8,4], target = 24</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>解释：</strong>子集 <code>[3, 8]</code> 和 <code>[1, 6, 4]</code> 的乘积均为 24。因此，输出为 true 。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [2,5,3,7], target = 15</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>解释：</strong>无法将 <code>nums</code> 划分为两个非空的互不相交子集，使得它们的乘积均为 15。因此，输出为 false。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 12</code></li>\n\t<li><code>1 &lt;= target &lt;= 10<sup>15</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n\t<li><code>nums</code> 中的所有元素互不相同。</li>\n</ul>\n",
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                "Try iterating over all subsets",
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