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"translatedContent": "<p>给你一个正整数数组 <code>nums</code>,你需要从中任选一些子集,然后将子集中每一个数乘以一个 <strong>任意整数</strong>,并求出他们的和。</p>\n\n<p>假如该和结果为 <code>1</code>,那么原数组就是一个「<strong>好数组</strong>」,则返回 <code>True</code>;否则请返回 <code>False</code>。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre><strong>输入:</strong>nums = [12,5,7,23]\n<strong>输出:</strong>true\n<strong>解释:</strong>挑选数字 5 和 7。\n5*3 + 7*(-2) = 1\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre><strong>输入:</strong>nums = [29,6,10]\n<strong>输出:</strong>true\n<strong>解释:</strong>挑选数字 29, 6 和 10。\n29*1 + 6*(-3) + 10*(-1) = 1\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre><strong>输入:</strong>nums = [3,6]\n<strong>输出:</strong>false\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10^5</code></li>\n\t<li><code>1 <= nums[i] <= 10^9</code></li>\n</ul>\n",
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"difficulty": "Hard",
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"hints": [
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"Eq. ax+by=1 has solution x, y if gcd(a,b) = 1.",
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"Can you generalize the formula?. Check Bézout's lemma."
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