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construct-smallest-number-from-di-string.json
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{
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"question": {
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"title": "Construct Smallest Number From DI String",
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"content": "<p>You are given a <strong>0-indexed</strong> string <code>pattern</code> of length <code>n</code> consisting of the characters <code>'I'</code> meaning <strong>increasing</strong> and <code>'D'</code> meaning <strong>decreasing</strong>.</p>\n\n<p>A <strong>0-indexed</strong> string <code>num</code> of length <code>n + 1</code> is created using the following conditions:</p>\n\n<ul>\n\t<li><code>num</code> consists of the digits <code>'1'</code> to <code>'9'</code>, where each digit is used <strong>at most</strong> once.</li>\n\t<li>If <code>pattern[i] == 'I'</code>, then <code>num[i] < num[i + 1]</code>.</li>\n\t<li>If <code>pattern[i] == 'D'</code>, then <code>num[i] > num[i + 1]</code>.</li>\n</ul>\n\n<p>Return <em>the lexicographically <strong>smallest</strong> possible string </em><code>num</code><em> that meets the conditions.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> pattern = "IIIDIDDD"\n<strong>Output:</strong> "123549876"\n<strong>Explanation:\n</strong>At indices 0, 1, 2, and 4 we must have that num[i] < num[i+1].\nAt indices 3, 5, 6, and 7 we must have that num[i] > num[i+1].\nSome possible values of num are "245639871", "135749862", and "123849765".\nIt can be proven that "123549876" is the smallest possible num that meets the conditions.\nNote that "123414321" is not possible because the digit '1' is used more than once.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> pattern = "DDD"\n<strong>Output:</strong> "4321"\n<strong>Explanation:</strong>\nSome possible values of num are "9876", "7321", and "8742".\nIt can be proven that "4321" is the smallest possible num that meets the conditions.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= pattern.length <= 8</code></li>\n\t<li><code>pattern</code> consists of only the letters <code>'I'</code> and <code>'D'</code>.</li>\n</ul>\n",
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"code": "class Solution(object):\n def smallestNumber(self, pattern):\n \"\"\"\n :type pattern: str\n :rtype: str\n \"\"\"\n ",
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"code": "/**\n * @param {string} pattern\n * @return {string}\n */\nvar smallestNumber = function(pattern) {\n \n};",
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"code": "# @param {String} pattern\n# @return {String}\ndef smallest_number(pattern)\n \nend",
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"code": "(define/contract (smallest-number pattern)\n (-> string? string?)\n )",
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"code": "-spec smallest_number(Pattern :: unicode:unicode_binary()) -> unicode:unicode_binary().\nsmallest_number(Pattern) ->\n .",
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"code": "defmodule Solution do\n @spec smallest_number(pattern :: String.t) :: String.t\n def smallest_number(pattern) do\n \n end\nend",
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"hints": [
"With the constraints, could we generate every possible string?",
"Yes we can. Now we just need to check if the string meets all the conditions."
],
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Java 8 features such as lambda expressions and stream API can be used. </p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n<p>Includes <code>Pair</code> class from https://docs.oracle.com/javase/8/javafx/api/javafx/util/Pair.html.</p>\"], \"python\": [\"Python\", \"<p><code>Python 2.7.12</code>.</p>\\r\\n\\r\\n<p>Most libraries are already imported automatically for your convenience, such as <a href=\\\"https://docs.python.org/2/library/array.html\\\" target=\\\"_blank\\\">array</a>, <a href=\\\"https://docs.python.org/2/library/bisect.html\\\" target=\\\"_blank\\\">bisect</a>, <a href=\\\"https://docs.python.org/2/library/collections.html\\\" target=\\\"_blank\\\">collections</a>. If you need more libraries, you can import it yourself.</p>\\r\\n\\r\\n<p>For Map/TreeMap data structure, you may use <a href=\\\"http://www.grantjenks.com/docs/sortedcontainers/\\\" target=\\\"_blank\\\">sortedcontainers</a> library.</p>\\r\\n\\r\\n<p>Note that Python 2.7 <a href=\\\"https://www.python.org/dev/peps/pep-0373/\\\" target=\\\"_blank\\\">will not be maintained past 2020</a>. For the latest Python, please choose Python3 instead.</p>\"], \"c\": [\"C\", \"<p>Compiled with <code>gcc 8.2</code> using the gnu11 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level one optimization (<code>-O1</code>). <a href=\\\"https://github.com/google/sanitizers/wiki/AddressSanitizer\\\" target=\\\"_blank\\\">AddressSanitizer</a> is also enabled to help detect out-of-bounds and use-after-free bugs.</p>\\r\\n\\r\\n<p>Most standard library headers are already included automatically for your convenience.</p>\\r\\n\\r\\n<p>For hash table operations, you may use <a href=\\\"https://troydhanson.github.io/uthash/\\\" target=\\\"_blank\\\">uthash</a>. \\\"uthash.h\\\" is included by default. Below are some examples:</p>\\r\\n\\r\\n<p><b>1. 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