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leetcode-problemset/leetcode-cn/originData/substring-with-largest-variance.json
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{
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"question": {
"questionId": "2360",
"questionFrontendId": "2272",
"categoryTitle": "Algorithms",
"boundTopicId": 1487684,
"title": "Substring With Largest Variance",
"titleSlug": "substring-with-largest-variance",
"content": "<p>The <strong>variance</strong> of a string is defined as the largest difference between the number of occurrences of <strong>any</strong> <code>2</code> characters present in the string. Note the two characters may or may not be the same.</p>\n\n<p>Given a string <code>s</code> consisting of lowercase English letters only, return <em>the <strong>largest variance</strong> possible among all <strong>substrings</strong> of</em> <code>s</code>.</p>\n\n<p>A <strong>substring</strong> is a contiguous sequence of characters within a string.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;aababbb&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\nAll possible variances along with their respective substrings are listed below:\n- Variance 0 for substrings &quot;a&quot;, &quot;aa&quot;, &quot;ab&quot;, &quot;abab&quot;, &quot;aababb&quot;, &quot;ba&quot;, &quot;b&quot;, &quot;bb&quot;, and &quot;bbb&quot;.\n- Variance 1 for substrings &quot;aab&quot;, &quot;aba&quot;, &quot;abb&quot;, &quot;aabab&quot;, &quot;ababb&quot;, &quot;aababbb&quot;, and &quot;bab&quot;.\n- Variance 2 for substrings &quot;aaba&quot;, &quot;ababbb&quot;, &quot;abbb&quot;, and &quot;babb&quot;.\n- Variance 3 for substring &quot;babbb&quot;.\nSince the largest possible variance is 3, we return it.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;abcde&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong>\nNo letter occurs more than once in s, so the variance of every substring is 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>s</code> consists of lowercase English letters.</li>\n</ul>\n",
"translatedTitle": "最大波动的子字符串",
"translatedContent": "<p>字符串的 <strong>波动</strong>&nbsp;定义为子字符串中出现次数 <strong>最多</strong>&nbsp;的字符次数与出现次数 <strong>最少</strong>&nbsp;的字符次数之差。</p>\n\n<p>给你一个字符串&nbsp;<code>s</code>&nbsp;,它只包含小写英文字母。请你返回 <code>s</code>&nbsp;里所有 <strong>子字符串的</strong>&nbsp;<strong>最大波动</strong>&nbsp;值。</p>\n\n<p><strong>子字符串</strong> 是一个字符串的一段连续字符序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>s = \"aababbb\"\n<b>输出:</b>3\n<strong>解释:</strong>\n所有可能的波动值和它们对应的子字符串如以下所示\n- 波动值为 0 的子字符串:\"a\" \"aa\" \"ab\" \"abab\" \"aababb\" \"ba\" \"b\" \"bb\" 和 \"bbb\" 。\n- 波动值为 1 的子字符串:\"aab\" \"aba\" \"abb\" \"aabab\" \"ababb\" \"aababbb\" 和 \"bab\" 。\n- 波动值为 2 的子字符串:\"aaba\" \"ababbb\" \"abbb\" 和 \"babb\" 。\n- 波动值为 3 的子字符串 \"babbb\" 。\n所以最大可能波动值为 3 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>s = \"abcde\"\n<b>输出:</b>0\n<strong>解释:</strong>\ns 中没有字母出现超过 1 次,所以 s 中每个子字符串的波动值都是 0 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 10<sup>4</sup></code></li>\n\t<li><code>s</code>&nbsp; 只包含小写英文字母。</li>\n</ul>\n",
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"code": "-spec largest_variance(S :: unicode:unicode_binary()) -> integer().\nlargest_variance(S) ->\n .",
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"hints": [
"Think about how to solve the problem if the string had only two distinct characters.",
"If we replace all occurrences of the first character by +1 and those of the second character by -1, can we efficiently calculate the largest possible variance of a string with only two distinct characters?",
"Now, try finding the optimal answer by taking all possible pairs of characters into consideration."
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