"content":"<p>Some robots are standing on an infinite number line with their initial coordinates given by a <strong>0-indexed</strong> integer array <code>nums</code> and will start moving once given the command to move. The robots will move a unit distance each second.</p>\n\n<p>You are given a string <code>s</code> denoting the direction in which robots will move on command. <code>'L'</code> means the robot will move towards the left side or negative side of the number line, whereas <code>'R'</code> means the robot will move towards the right side or positive side of the number line.</p>\n\n<p>If two robots collide, they will start moving in opposite directions.</p>\n\n<p>Return <em>the sum of distances between all the pairs of robots </em><code>d</code> <em>seconds after the command. </em>Since the sum can be very large, return it modulo <code>10<sup>9</sup> + 7</code>.</p>\n\n<p><b>Note: </b></p>\n\n<ul>\n\t<li>For two robots at the index <code>i</code> and <code>j</code>, pair <code>(i,j)</code> and pair <code>(j,i)</code> are considered the same pair.</li>\n\t<li>When robots collide, they <strong>instantly change</strong> their directions without wasting any time.</li>\n\t<li>Collision happens when two robots share the same place in a moment.\n\t<ul>\n\t\t<li>For example, if a robot is positioned in 0 going to the right and another is positioned in 2 going to the left, the next second they'll be both in 1 and they will change direction and the next second the first one will be in 0, heading left, and another will be in 2, heading right.</li>\n\t\t<li>For example, if a robot is positioned in 0 going to the right and another is positioned in 1 going to the left, the next second the first one will be in 0, heading left, and another will be in 1, heading right.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [-2,0,2], s = "RLL", d = 3\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> \nAfter 1 second, the positions are [-1,-1,1]. Now, the robot at index 0 will move left, and the robot at index 1 will move right.\nAfter 2 seconds, the positions are [-2,0,0]. Now, the robot at index 1 will move left, and the robot at index 2 will move right.\nAfter 3 seconds, the positions are [-3,-1,1].\nThe distance between the robot at index 0 and 1 is abs(-3 - (-1)) = 2.\nThe distance between the robot at index 0 and 2 is abs(-3 - 1) = 4.\nThe distance between the robot at index 1 and 2 is abs(-1 - 1) = 2.\nThe sum of the pairs of all distances = 2 + 4 + 2 = 8.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,0], s = "RL", d = 2\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> \nAfter 1 second, the positions are [2,-1].\nAfter 2 seconds, the positions are [3,-2].\nThe distance between the two robots is abs(-2 - 3) = 5.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>-2 * 10<sup>9</sup> <= nums[i] <= 2 * 10<sup>9</sup></code></li>\n\t<li><code>0 <= d <= 10<sup>9</sup></code></li>\n\t<li><code>nums.length == s.length </code></li>\n\t<li><code>s</code> consists of 'L' and 'R' only</li>\n\t<li><code>nums[i]</code> will be unique.</li>\n</ul>\n",
"similarQuestions":"[{\"title\": \"Last Moment Before All Ants Fall Out of a Plank\", \"titleSlug\": \"last-moment-before-all-ants-fall-out-of-a-plank\", \"difficulty\": \"Medium\", \"translatedTitle\": null}]",
"envInfo":"{\"cpp\": [\"C++\", \"<p>Compiled with <code> clang 11 </code> using the latest C++ 20 standard.</p>\\r\\n\\r\\n<p>Your code is compiled with level two optimization (<code>-O2</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>\"], \"java\": [\"Java\", \"<p><code>OpenJDK 17</code>. 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. Adding an item to a hash.</b>\\r\\n<pre>\\r\\nstruct hash_entry {\\r\\n int id; /* we'll use this field as the key */\\r\\n char name[10];\\r\\n UT_hash_handle hh; /* makes this structure hashable */\\r\\n};\\r\\n\\r\\nstruct hash_entry *users = NULL;\\r\\n\\r\\nvoid add_user(struct hash_entry *s) {\\r\\n HASH_ADD_INT(users, id, s);\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>2. Looking up an item in a hash:</b>\\r\\n<pre>\\r\\nstruct hash_entry *find_user(int user_id) {\\r\\n struct hash_entry *s;\\r\\n HASH_FIND_INT(users, &user_id, s);\\r\\n return s;\\r\\n}\\r\\n</pre>\\r\\n</p>\\r\\n\\r\\n<p><b>3. Deleting an item in a hash:</b>\\r\\n<pre>\\r\\nvoid delete_user(struct hash_entry *user) {\\r\\n HASH_DEL(users, user); \\r\\n}\\r\\n</pre>\\r\\n</p>\"], \"csharp\": [\"C#\", \"<p><a href=\\\"https://learn.microsoft.com/en-us/dotnet/csharp/whats-new/csharp-10\\\" target=\\\"_blank\\\">C# 10 with .NET 6 runtime</a></p>\"], \"javascript\": [\"JavaScript\", \"<p><code>Node.js 16.13.2</code>.</p>\\r\\n\\r\\n<p>Your code is run with <code>--harmony</code> flag, enabling <a href=\\\"http://node.green/\\\" target=\\\"_blank\\\">new ES6 features</a>.</p>\\r\\n\\r\\n<p><a href=\\\"https://lodash.com\\\" target=\\\"_blank\\\">lodash.js</a> library is included by default.</p>\\r\\n\\r\\n<p>For Priority Queue / Queue data structures, you may use 5.3.0 version of <a href=\\\"https://github.com/datastructures-js/priority-queue/tree/fb4fdb984834421279aeb081df7af624d17c2a03\\\" target=\\\"_blank\\\">datastructures-js/priority-queue</a> and 4.2.1 version of <a href=\\\"https://githu
