leetcode-problemset/leetcode-cn/originData/construct-the-longest-new-string.json

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            "title": "Construct the Longest New String",
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            "content": "<p>You are given three integers <code>x</code>, <code>y</code>, and <code>z</code>.</p>\n\n<p>You have <code>x</code> strings equal to <code>&quot;AA&quot;</code>, <code>y</code> strings equal to <code>&quot;BB&quot;</code>, and <code>z</code> strings equal to <code>&quot;AB&quot;</code>. You want to choose some (possibly all or none) of these strings and concatenate them in some order to form a new string. This new string must not contain <code>&quot;AAA&quot;</code> or <code>&quot;BBB&quot;</code> as a substring.</p>\n\n<p>Return <em>the maximum possible length of the new string</em>.</p>\n\n<p>A <b>substring</b> is a contiguous <strong>non-empty</strong> sequence of characters within a string.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> x = 2, y = 5, z = 1\n<strong>Output:</strong> 12\n<strong>Explanation: </strong>We can concactenate the strings &quot;BB&quot;, &quot;AA&quot;, &quot;BB&quot;, &quot;AA&quot;, &quot;BB&quot;, and &quot;AB&quot; in that order. Then, our new string is &quot;BBAABBAABBAB&quot;. \nThat string has length 12, and we can show that it is impossible to construct a string of longer length.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> x = 3, y = 2, z = 2\n<strong>Output:</strong> 14\n<strong>Explanation:</strong> We can concactenate the strings &quot;AB&quot;, &quot;AB&quot;, &quot;AA&quot;, &quot;BB&quot;, &quot;AA&quot;, &quot;BB&quot;, and &quot;AA&quot; in that order. Then, our new string is &quot;ABABAABBAABBAA&quot;. \nThat string has length 14, and we can show that it is impossible to construct a string of longer length.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y, z &lt;= 50</code></li>\n</ul>\n",
            "translatedTitle": "构造最长的新字符串",
            "translatedContent": "<p>给你三个整数&nbsp;<code>x</code>&nbsp;，<code>y</code>&nbsp;和&nbsp;<code>z</code>&nbsp;。</p>\n\n<p>这三个整数表示你有&nbsp;<code>x</code>&nbsp;个&nbsp;<code>\"AA\"</code>&nbsp;字符串，<code>y</code>&nbsp;个&nbsp;<code>\"BB\"</code>&nbsp;字符串，和&nbsp;<code>z</code>&nbsp;个&nbsp;<code>\"AB\"</code>&nbsp;字符串。你需要选择这些字符串中的部分字符串（可以全部选择也可以一个都不选择），将它们按顺序连接得到一个新的字符串。新字符串不能包含子字符串&nbsp;<code>\"AAA\"</code>&nbsp;或者&nbsp;<code>\"BBB\"</code>&nbsp;。</p>\n\n<p>请你返回 <em>新字符串的最大可能长度。</em></p>\n\n<p><strong>子字符串</strong>&nbsp;是一个字符串中一段连续 <strong>非空</strong>&nbsp;的字符序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>x = 2, y = 5, z = 1\n<b>输出：</b>12\n<strong>解释： </strong>我们可以按顺序连接 \"BB\" ，\"AA\" ，\"BB\" ，\"AA\" ，\"BB\" 和 \"AB\" ，得到新字符串 \"BBAABBAABBAB\" 。\n字符串长度为 12 ，无法得到一个更长的符合题目要求的字符串。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>x = 3, y = 2, z = 2\n<b>输出：</b>14\n<b>解释：</b>我们可以按顺序连接 \"AB\" ，\"AB\" ，\"AA\" ，\"BB\" ，\"AA\" ，\"BB\" 和 \"AA\" ，得到新字符串 \"ABABAABBAABBAA\" 。\n字符串长度为 14 ，无法得到一个更长的符合题目要求的字符串。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= x, y, z &lt;= 50</code></li>\n</ul>\n",
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                "It can be proved that ALL “AB”s can be used in the optimal solution.\r\n(1) If the final string starts with 'A', we can put all unused “AB”s at the very beginning.\r\n(2) If the final string starts with 'B' (meaning) it starts with “BB”, we can put all unused “AB”s after the 2nd 'B'.",
                "Using “AB” doesn’t increase the number of “AA”s or “BB”s we can use.\r\nIf we put an “AB” after “BB”, then we still need to append “AA” as before, so it doesn’t change the state.",
                "We only need to consider strings “AA” and “BB”; we can either use the pattern “AABBAABB…” or the pattern “BBAABBAA…”, depending on which one of x and y is larger."
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