leetcode-problemset/leetcode-cn/originData/minimize-result-by-adding-parentheses-to-expression.json

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            "categoryTitle": "Algorithms",
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            "title": "Minimize Result by Adding Parentheses to Expression",
            "titleSlug": "minimize-result-by-adding-parentheses-to-expression",
            "content": "<p>You are given a <strong>0-indexed</strong> string <code>expression</code> of the form <code>&quot;&lt;num1&gt;+&lt;num2&gt;&quot;</code> where <code>&lt;num1&gt;</code> and <code>&lt;num2&gt;</code> represent positive integers.</p>\n\n<p>Add a pair of parentheses to <code>expression</code> such that after the addition of parentheses, <code>expression</code> is a <strong>valid</strong> mathematical expression and evaluates to the <strong>smallest</strong> possible value. The left parenthesis <strong>must</strong> be added to the left of <code>&#39;+&#39;</code> and the right parenthesis <strong>must</strong> be added to the right of <code>&#39;+&#39;</code>.</p>\n\n<p>Return <code>expression</code><em> after adding a pair of parentheses such that </em><code>expression</code><em> evaluates to the <strong>smallest</strong> possible value.</em> If there are multiple answers that yield the same result, return any of them.</p>\n\n<p>The input has been generated such that the original value of <code>expression</code>, and the value of <code>expression</code> after adding any pair of parentheses that meets the requirements fits within a signed 32-bit integer.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> expression = &quot;247+38&quot;\n<strong>Output:</strong> &quot;2(47+38)&quot;\n<strong>Explanation:</strong> The <code>expression</code> evaluates to 2 * (47 + 38) = 2 * 85 = 170.\nNote that &quot;2(4)7+38&quot; is invalid because the right parenthesis must be to the right of the <code>&#39;+&#39;</code>.\nIt can be shown that 170 is the smallest possible value.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> expression = &quot;12+34&quot;\n<strong>Output:</strong> &quot;1(2+3)4&quot;\n<strong>Explanation:</strong> The expression evaluates to 1 * (2 + 3) * 4 = 1 * 5 * 4 = 20.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> expression = &quot;999+999&quot;\n<strong>Output:</strong> &quot;(999+999)&quot;\n<strong>Explanation:</strong> The <code>expression</code> evaluates to 999 + 999 = 1998.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= expression.length &lt;= 10</code></li>\n\t<li><code>expression</code> consists of digits from <code>&#39;1&#39;</code> to <code>&#39;9&#39;</code> and <code>&#39;+&#39;</code>.</li>\n\t<li><code>expression</code> starts and ends with digits.</li>\n\t<li><code>expression</code> contains exactly one <code>&#39;+&#39;</code>.</li>\n\t<li>The original value of <code>expression</code>, and the value of <code>expression</code> after adding any pair of parentheses that meets the requirements fits within a signed 32-bit integer.</li>\n</ul>\n",
            "translatedTitle": "向表达式添加括号后的最小结果",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的字符串 <code>expression</code> ，格式为 <code>\"&lt;num1&gt;+&lt;num2&gt;\"</code> ，其中 <code>&lt;num1&gt;</code> 和 <code>&lt;num2&gt;</code> 表示正整数。</p>\n\n<p>请你向 <code>expression</code> 中添加一对括号，使得在添加之后， <code>expression</code> 仍然是一个有效的数学表达式，并且计算后可以得到 <strong>最小</strong> 可能值。左括号 <strong>必须</strong> 添加在 <code>'+'</code> 的左侧，而右括号必须添加在 <code>'+'</code> 的右侧。</p>\n\n<p>返回添加一对括号后形成的表达式&nbsp;<code>expression</code> ，且满足<em> </em><code>expression</code><em> </em>计算得到 <strong>最小</strong> 可能值<em>。</em>如果存在多个答案都能产生相同结果，返回任意一个答案。</p>\n\n<p>生成的输入满足：<code>expression</code> 的原始值和添加满足要求的任一对括号之后 <code>expression</code> 的值，都符合 32-bit 带符号整数范围。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>expression = \"247+38\"\n<strong>输出：</strong>\"2(47+38)\"\n<strong>解释：</strong>表达式计算得到 2 * (47 + 38) = 2 * 85 = 170 。\n注意 \"2(4)7+38\" 不是有效的结果，因为右括号必须添加在 <code>'+' 的右侧。</code>\n可以证明 170 是最小可能值。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>expression = \"12+34\"\n<strong>输出：</strong>\"1(2+3)4\"\n<strong>解释：</strong>表达式计算得到 1 * (2 + 3) * 4 = 1 * 5 * 4 = 20 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>expression = \"999+999\"\n<strong>输出：</strong>\"(999+999)\"\n<strong>解释：</strong>表达式计算得到 999 + 999 = 1998 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= expression.length &lt;= 10</code></li>\n\t<li><code>expression</code> 仅由数字 <code>'1'</code> 到 <code>'9'</code> 和 <code>'+'</code> 组成</li>\n\t<li><code>expression</code> 由数字开始和结束</li>\n\t<li><code>expression</code> 恰好仅含有一个 <code>'+'</code>.</li>\n\t<li><code>expression</code> 的原始值和添加满足要求的任一对括号之后 <code>expression</code> 的值，都符合 32-bit 带符号整数范围</li>\n</ul>\n",
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