leetcode-problemset/leetcode/originData/find-the-losers-of-the-circular-game.json

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            "title": "Find the Losers of the Circular Game",
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            "content": "<p>There are <code>n</code> friends that are playing a game. The friends are sitting in a circle and are numbered from <code>1</code> to <code>n</code> in <strong>clockwise order</strong>. More formally, moving clockwise from the <code>i<sup>th</sup></code> friend brings you to the <code>(i+1)<sup>th</sup></code> friend for <code>1 &lt;= i &lt; n</code>, and moving clockwise from the <code>n<sup>th</sup></code> friend brings you to the <code>1<sup>st</sup></code> friend.</p>\n\n<p>The rules of the game are as follows:</p>\n\n<p><code>1<sup>st</sup></code> friend receives the ball.</p>\n\n<ul>\n\t<li>After that, <code>1<sup>st</sup></code> friend passes it to the friend who is <code>k</code> steps away from them in the <strong>clockwise</strong> direction.</li>\n\t<li>After that, the friend who receives the ball should pass it to the friend who is <code>2 * k</code> steps away from them in the <strong>clockwise</strong> direction.</li>\n\t<li>After that, the friend who receives the ball should pass it to the friend who is <code>3 * k</code> steps away from them in the <strong>clockwise</strong> direction, and so on and so forth.</li>\n</ul>\n\n<p>In other words, on the <code>i<sup>th</sup></code> turn, the friend holding the ball should pass it to the friend who is <code>i * k</code> steps away from them in the <strong>clockwise</strong> direction.</p>\n\n<p>The game is finished when some friend receives the ball for the second time.</p>\n\n<p>The <strong>losers</strong> of the game are friends who did not receive the ball in the entire game.</p>\n\n<p>Given the number of friends, <code>n</code>, and an integer <code>k</code>, return <em>the array answer, which contains the losers of the game in the <strong>ascending</strong> order</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, k = 2\n<strong>Output:</strong> [4,5]\n<strong>Explanation:</strong> The game goes as follows:\n1) Start at 1<sup>st</sup>&nbsp;friend and pass the ball to the friend who is 2 steps away from them - 3<sup>rd</sup>&nbsp;friend.\n2) 3<sup>rd</sup>&nbsp;friend passes the ball to the friend who is 4 steps away from them - 2<sup>nd</sup>&nbsp;friend.\n3) 2<sup>nd</sup>&nbsp;friend passes the ball to the friend who is 6 steps away from them  - 3<sup>rd</sup>&nbsp;friend.\n4) The game ends as 3<sup>rd</sup>&nbsp;friend receives the ball for the second time.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4, k = 4\n<strong>Output:</strong> [2,3,4]\n<strong>Explanation:</strong> The game goes as follows:\n1) Start at the 1<sup>st</sup>&nbsp;friend and pass the ball to the friend who is 4 steps away from them - 1<sup>st</sup>&nbsp;friend.\n2) The game ends as 1<sup>st</sup>&nbsp;friend receives the ball for the second time.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= k &lt;= n &lt;= 50</code></li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    vector<int> circularGameLosers(int n, int k) {\n        \n    }\n};",
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                    "code": "class Solution(object):\n    def circularGameLosers(self, n, k):\n        \"\"\"\n        :type n: int\n        :type k: int\n        :rtype: List[int]\n        \"\"\"\n        ",
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                    "code": "public class Solution {\n    public int[] CircularGameLosers(int n, int k) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number} n\n * @param {number} k\n * @return {number[]}\n */\nvar circularGameLosers = function(n, k) {\n    \n};",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer $n\n     * @param Integer $k\n     * @return Integer[]\n     */\n    function circularGameLosers($n, $k) {\n        \n    }\n}",
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                    "code": "# @param {Integer} n\n# @param {Integer} k\n# @return {Integer[]}\ndef circular_game_losers(n, k)\n    \nend",
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                "Simulate the whole game until a player receives the ball for the second time."
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