mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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171 lines
24 KiB
JSON
171 lines
24 KiB
JSON
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"categoryTitle": "Algorithms",
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"title": "Sum of Largest Prime Substrings",
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"content": "<p data-end=\"157\" data-start=\"30\">Given a string <code>s</code>, find the sum of the <strong>3 largest unique prime numbers</strong> that can be formed using any of its<strong> substrings</strong>.</p>\n\n<p data-end=\"269\" data-start=\"166\">Return the <strong>sum</strong> of the three largest unique prime numbers that can be formed. If fewer than three exist, return the sum of <strong>all</strong> available primes. If no prime numbers can be formed, return 0.</p>\n\n<p data-end=\"269\" data-start=\"166\">A prime number is a natural number greater than 1 with only two factors, 1 and itself.</p>\n\n<p>A <strong>substring</strong> is a contiguous sequence of characters within a string.</p>\n\n<p data-end=\"370\" data-is-last-node=\"\" data-is-only-node=\"\" data-start=\"271\"><strong data-end=\"280\" data-start=\"271\">Note:</strong> Each prime number should be counted only <strong>once</strong>, even if it appears in <strong>multiple</strong> substrings. Additionally, when converting a substring to an integer, any leading zeros are ignored.</p>\n\n<p> </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\">s = "12234"</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1469</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li data-end=\"136\" data-start=\"16\">The unique prime numbers formed from the substrings of <code>"12234"</code> are 2, 3, 23, 223, and 1223.</li>\n\t<li data-end=\"226\" data-start=\"137\">The 3 largest primes are 1223, 223, and 23. Their sum is 1469.</li>\n</ul>\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\">s = "111"</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">11</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li data-end=\"339\" data-start=\"244\">The unique prime number formed from the substrings of <code>"111"</code> is 11.</li>\n\t<li data-end=\"412\" data-is-last-node=\"\" data-start=\"340\">Since there is only one prime number, the sum is 11.</li>\n</ul>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li data-end=\"39\" data-start=\"18\"><code>1 <= s.length <= 10</code></li>\n\t<li data-end=\"68\" data-is-last-node=\"\" data-start=\"40\"><code>s</code> consists of only digits.</li>\n</ul>\n",
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"translatedTitle": "最大质数子字符串之和",
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"translatedContent": "<p data-end=\"157\" data-start=\"30\">给定一个字符串 <code>s</code>,找出可以由其 <strong>子字符串 </strong>组成的 <strong>3个最大的不同质数 </strong>的和。</p>\n\n<p data-end=\"269\" data-start=\"166\">返回这些质数的 <strong>总和 </strong>,如果少于 3 个不同的质数,则返回 <strong>所有 </strong>不同质数的和。</p>\n\n<p data-end=\"269\" data-start=\"166\">质数是大于 1 且只有两个因数的自然数:1和它本身。</p>\n\n<p data-end=\"269\" data-start=\"166\"><strong>子字符串 </strong>是字符串中的一个连续字符序列。 </p>\n\n<p data-end=\"370\" data-is-last-node=\"\" data-is-only-node=\"\" data-start=\"271\"><strong data-end=\"280\" data-start=\"271\">注意:</strong>每个质数即使出现在 <strong>多个 </strong>子字符串中,也只能计算 <strong>一次 </strong>。此外,将子字符串转换为整数时,忽略任何前导零。</p>\n\n<p> </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\">s = \"12234\"</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">1469</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li data-end=\"136\" data-start=\"16\">由 <code>\"12234\"</code> 的子字符串形成的不同质数为 2 ,3 ,23 ,223 和 1223。</li>\n\t<li data-end=\"226\" data-start=\"137\">最大的 3 个质数是 1223、223 和 23。它们的和是 1469。</li>\n</ul>\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\">s = \"111\"</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">11</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li data-end=\"339\" data-start=\"244\">由 <code>\"111\"</code> 的子字符串形成的不同质数是 11。</li>\n\t<li data-end=\"412\" data-is-last-node=\"\" data-start=\"340\">由于只有一个质数,所以结果是 11。</li>\n</ul>\n</div>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li data-end=\"39\" data-start=\"18\"><code>1 <= s.length <= 10</code></li>\n\t<li data-end=\"68\" data-is-last-node=\"\" data-start=\"40\"><code>s</code> 仅由数字组成。</li>\n</ul>\n",
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"Iterate over all substrings of <code>s</code> to generate candidate numbers.",
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"Check each candidate for primality in <code>O(sqrt(n))</code> time.",
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