leetcode-problemset/leetcode-cn/originData/maximize-number-of-subsequences-in-a-string.json

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        "question": {
            "questionId": "2309",
            "questionFrontendId": "2207",
            "categoryTitle": "Algorithms",
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            "title": "Maximize Number of Subsequences in a String",
            "titleSlug": "maximize-number-of-subsequences-in-a-string",
            "content": "<p>You are given a <strong>0-indexed</strong> string <code>text</code> and another <strong>0-indexed</strong> string <code>pattern</code> of length <code>2</code>, both of which consist of only lowercase English letters.</p>\n\n<p>You can add <strong>either</strong> <code>pattern[0]</code> <strong>or</strong> <code>pattern[1]</code> anywhere in <code>text</code> <strong>exactly once</strong>. Note that the character can be added even at the beginning or at the end of <code>text</code>.</p>\n\n<p>Return <em>the <strong>maximum</strong> number of times</em> <code>pattern</code> <em>can occur as a <strong>subsequence</strong> of the modified </em><code>text</code>.</p>\n\n<p>A <b>subsequence</b> is a string that can be derived from another string by deleting some or no characters without changing the order of the remaining characters.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> text = &quot;abdcdbc&quot;, pattern = &quot;ac&quot;\n<strong>Output:</strong> 4\n<strong>Explanation:</strong>\nIf we add pattern[0] = &#39;a&#39; in between text[1] and text[2], we get &quot;ab<u><strong>a</strong></u>dcdbc&quot;. Now, the number of times &quot;ac&quot; occurs as a subsequence is 4.\nSome other strings which have 4 subsequences &quot;ac&quot; after adding a character to text are &quot;<u><strong>a</strong></u>abdcdbc&quot; and &quot;abd<u><strong>a</strong></u>cdbc&quot;.\nHowever, strings such as &quot;abdc<u><strong>a</strong></u>dbc&quot;, &quot;abd<u><strong>c</strong></u>cdbc&quot;, and &quot;abdcdbc<u><strong>c</strong></u>&quot;, although obtainable, have only 3 subsequences &quot;ac&quot; and are thus suboptimal.\nIt can be shown that it is not possible to get more than 4 subsequences &quot;ac&quot; by adding only one character.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> text = &quot;aabb&quot;, pattern = &quot;ab&quot;\n<strong>Output:</strong> 6\n<strong>Explanation:</strong>\nSome of the strings which can be obtained from text and have 6 subsequences &quot;ab&quot; are &quot;<u><strong>a</strong></u>aabb&quot;, &quot;aa<u><strong>a</strong></u>bb&quot;, and &quot;aab<u><strong>b</strong></u>b&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= text.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>pattern.length == 2</code></li>\n\t<li><code>text</code> and <code>pattern</code> consist only of lowercase English letters.</li>\n</ul>\n",
            "translatedTitle": "字符串中最多数目的子字符串",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的字符串&nbsp;<code>text</code>&nbsp;和另一个下标从 <strong>0</strong>&nbsp;开始且长度为 <code>2</code>&nbsp;的字符串&nbsp;<code>pattern</code>&nbsp;，两者都只包含小写英文字母。</p>\n\n<p>你可以在 <code>text</code>&nbsp;中任意位置插入 <strong>一个</strong> 字符，这个插入的字符必须是&nbsp;<code>pattern[0]</code>&nbsp;<b>或者</b>&nbsp;<code>pattern[1]</code>&nbsp;。注意，这个字符可以插入在 <code>text</code>&nbsp;开头或者结尾的位置。</p>\n\n<p>请你返回插入一个字符后，<code>text</code>&nbsp;中最多包含多少个等于 <code>pattern</code>&nbsp;的 <strong>子序列</strong>&nbsp;。</p>\n\n<p><strong>子序列</strong> 指的是将一个字符串删除若干个字符后（也可以不删除），剩余字符保持原本顺序得到的字符串。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>text = \"abdcdbc\", pattern = \"ac\"\n<b>输出：</b>4\n<strong>解释：</strong>\n如果我们在 text[1] 和 text[2] 之间添加 pattern[0] = 'a' ，那么我们得到 \"ab<em><strong>a</strong></em>dcdbc\" 。那么 \"ac\" 作为子序列出现 4 次。\n其他得到 4 个 \"ac\" 子序列的方案还有 \"<em><strong>a</strong></em>abdcdbc\" 和 \"abd<em><strong>a</strong></em>cdbc\" 。\n但是，\"abdc<em><strong>a</strong></em>dbc\" ，\"abd<em><strong>c</strong></em>cdbc\" 和 \"abdcdbc<em><strong>c</strong></em>\" 这些字符串虽然是可行的插入方案，但是只出现了 3 次 \"ac\" 子序列，所以不是最优解。\n可以证明插入一个字符后，无法得到超过 4 个 \"ac\" 子序列。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>text = \"aabb\", pattern = \"ab\"\n<b>输出：</b>6\n<strong>解释：</strong>\n可以得到 6 个 \"ab\" 子序列的部分方案为 \"<em><strong>a</strong></em>aabb\" ，\"aa<em><strong>a</strong></em>bb\" 和 \"aab<em><strong>b</strong></em>b\" 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= text.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>pattern.length == 2</code></li>\n\t<li><code>text</code> 和&nbsp;<code>pattern</code>&nbsp;都只包含小写英文字母。</li>\n</ul>\n",
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                "Find the optimal position to add pattern[0] so that the number of subsequences is maximized. Similarly, find the optimal position to add pattern[1].",
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