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            "title": "Minimum Time to Finish the Race",
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            "content": "<p>You are given a <strong>0-indexed</strong> 2D integer array <code>tires</code> where <code>tires[i] = [f<sub>i</sub>, r<sub>i</sub>]</code> indicates that the <code>i<sup>th</sup></code> tire can finish its <code>x<sup>th</sup></code> successive lap in <code>f<sub>i</sub> * r<sub>i</sub><sup>(x-1)</sup></code> seconds.</p>\n\n<ul>\n\t<li>For example, if <code>f<sub>i</sub> = 3</code> and <code>r<sub>i</sub> = 2</code>, then the tire would finish its <code>1<sup>st</sup></code> lap in <code>3</code> seconds, its <code>2<sup>nd</sup></code> lap in <code>3 * 2 = 6</code> seconds, its <code>3<sup>rd</sup></code> lap in <code>3 * 2<sup>2</sup> = 12</code> seconds, etc.</li>\n</ul>\n\n<p>You are also given an integer <code>changeTime</code> and an integer <code>numLaps</code>.</p>\n\n<p>The race consists of <code>numLaps</code> laps and you may start the race with <strong>any</strong> tire. You have an <strong>unlimited</strong> supply of each tire and after every lap, you may <strong>change</strong> to any given tire (including the current tire type) if you wait <code>changeTime</code> seconds.</p>\n\n<p>Return<em> the <strong>minimum</strong> time to finish the race.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> tires = [[2,3],[3,4]], changeTime = 5, numLaps = 4\n<strong>Output:</strong> 21\n<strong>Explanation:</strong> \nLap 1: Start with tire 0 and finish the lap in 2 seconds.\nLap 2: Continue with tire 0 and finish the lap in 2 * 3 = 6 seconds.\nLap 3: Change tires to a new tire 0 for 5 seconds and then finish the lap in another 2 seconds.\nLap 4: Continue with tire 0 and finish the lap in 2 * 3 = 6 seconds.\nTotal time = 2 + 6 + 5 + 2 + 6 = 21 seconds.\nThe minimum time to complete the race is 21 seconds.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> tires = [[1,10],[2,2],[3,4]], changeTime = 6, numLaps = 5\n<strong>Output:</strong> 25\n<strong>Explanation:</strong> \nLap 1: Start with tire 1 and finish the lap in 2 seconds.\nLap 2: Continue with tire 1 and finish the lap in 2 * 2 = 4 seconds.\nLap 3: Change tires to a new tire 1 for 6 seconds and then finish the lap in another 2 seconds.\nLap 4: Continue with tire 1 and finish the lap in 2 * 2 = 4 seconds.\nLap 5: Change tires to tire 0 for 6 seconds then finish the lap in another 1 second.\nTotal time = 2 + 4 + 6 + 2 + 4 + 6 + 1 = 25 seconds.\nThe minimum time to complete the race is 25 seconds. \n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= tires.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>tires[i].length == 2</code></li>\n\t<li><code>1 &lt;= f<sub>i</sub>, changeTime &lt;= 10<sup>5</sup></code></li>\n\t<li><code>2 &lt;= r<sub>i</sub> &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= numLaps &lt;= 1000</code></li>\n</ul>\n",
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                    "code": "class Solution {\n    public int minimumFinishTime(int[][] tires, int changeTime, int numLaps) {\n        \n    }\n}",
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                    "code": "class Solution(object):\n    def minimumFinishTime(self, tires, changeTime, numLaps):\n        \"\"\"\n        :type tires: List[List[int]]\n        :type changeTime: int\n        :type numLaps: int\n        :rtype: int\n        \"\"\"\n        ",
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                    "code": "class Solution:\n    def minimumFinishTime(self, tires: List[List[int]], changeTime: int, numLaps: int) -> int:\n        ",
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                    "code": "public class Solution {\n    public int MinimumFinishTime(int[][] tires, int changeTime, int numLaps) {\n        \n    }\n}",
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                    "code": "/**\n * @param {number[][]} tires\n * @param {number} changeTime\n * @param {number} numLaps\n * @return {number}\n */\nvar minimumFinishTime = function(tires, changeTime, numLaps) {\n    \n};",
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                    "code": "# @param {Integer[][]} tires\n# @param {Integer} change_time\n# @param {Integer} num_laps\n# @return {Integer}\ndef minimum_finish_time(tires, change_time, num_laps)\n    \nend",
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                    "code": "class Solution {\n    func minimumFinishTime(_ tires: [[Int]], _ changeTime: Int, _ numLaps: Int) -> Int {\n        \n    }\n}",
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                    "code": "object Solution {\n    def minimumFinishTime(tires: Array[Array[Int]], changeTime: Int, numLaps: Int): Int = {\n        \n    }\n}",
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                    "code": "class Solution {\n    fun minimumFinishTime(tires: Array<IntArray>, changeTime: Int, numLaps: Int): Int {\n        \n    }\n}",
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                    "code": "impl Solution {\n    pub fn minimum_finish_time(tires: Vec<Vec<i32>>, change_time: i32, num_laps: i32) -> i32 {\n        \n    }\n}",
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                    "lang": "Erlang",
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                    "code": "-spec minimum_finish_time(Tires :: [[integer()]], ChangeTime :: integer(), NumLaps :: integer()) -> integer().\nminimum_finish_time(Tires, ChangeTime, NumLaps) ->\n  .",
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                "What is the maximum number of times we would want to go around the track without changing tires?",
                "Can we precompute the minimum time to go around the track x times without changing tires?",
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