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

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            "title": "Minimize Result by Adding Parentheses to Expression",
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            "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>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>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>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",
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            "hints": [
                "The maximum length of expression is very low. We can try every possible spot to place the parentheses.",
                "Every possibility of expression is of the form a * (b + c) * d where a, b, c, d represent integers. Note the edge cases where a and/or d do not exist, in which case use 1 instead of them."
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