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"question": {
"questionId": "1081",
"questionFrontendId": "1024",
"categoryTitle": "Algorithms",
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"title": "Video Stitching",
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"content": "<p>You are given a series of video clips from a sporting event that lasted <code>time</code> seconds. These video clips can be overlapping with each other and have varying lengths.</p>\n\n<p>Each video clip is described by an array <code>clips</code> where <code>clips[i] = [start<sub>i</sub>, end<sub>i</sub>]</code> indicates that the ith clip started at <code>start<sub>i</sub></code> and ended at <code>end<sub>i</sub></code>.</p>\n\n<p>We can cut these clips into segments freely.</p>\n\n<ul>\n\t<li>For example, a clip <code>[0, 7]</code> can be cut into segments <code>[0, 1] + [1, 3] + [3, 7]</code>.</li>\n</ul>\n\n<p>Return <em>the minimum number of clips needed so that we can cut the clips into segments that cover the entire sporting event</em> <code>[0, time]</code>. If the task is impossible, return <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> clips = [[0,2],[4,6],[8,10],[1,9],[1,5],[5,9]], time = 10\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We take the clips [0,2], [8,10], [1,9]; a total of 3 clips.\nThen, we can reconstruct the sporting event as follows:\nWe cut [1,9] into segments [1,2] + [2,8] + [8,9].\nNow we have segments [0,2] + [2,8] + [8,10] which cover the sporting event [0, 10].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> clips = [[0,1],[1,2]], time = 5\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> We cannot cover [0,5] with only [0,1] and [1,2].\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> clips = [[0,1],[6,8],[0,2],[5,6],[0,4],[0,3],[6,7],[1,3],[4,7],[1,4],[2,5],[2,6],[3,4],[4,5],[5,7],[6,9]], time = 9\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can take clips [0,4], [4,7], and [6,9].\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= clips.length &lt;= 100</code></li>\n\t<li><code>0 &lt;= start<sub>i</sub> &lt;= end<sub>i</sub> &lt;= 100</code></li>\n\t<li><code>1 &lt;= time &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "视频拼接",
"translatedContent": "<p>你将会获得一系列视频片段,这些片段来自于一项持续时长为&nbsp;<code>time</code>&nbsp;秒的体育赛事。这些片段可能有所重叠,也可能长度不一。</p>\n\n<p>使用数组&nbsp;<code>clips</code> 描述所有的视频片段,其中 <code>clips[i] = [start<sub>i</sub>, end<sub>i</sub>]</code> 表示:某个视频片段开始于&nbsp;<code>start<sub>i</sub></code>&nbsp;并于&nbsp;<code>end<sub>i</sub></code>&nbsp;结束。</p>\n\n<p>甚至可以对这些片段自由地再剪辑:</p>\n\n<ul>\n\t<li>例如,片段&nbsp;<code>[0, 7]</code>&nbsp;可以剪切成&nbsp;<code>[0, 1] +&nbsp;[1, 3] + [3, 7]</code>&nbsp;三部分。</li>\n</ul>\n\n<p>我们需要将这些片段进行再剪辑,并将剪辑后的内容拼接成覆盖整个运动过程的片段(<code>[0, time]</code>)。返回所需片段的最小数目,如果无法完成该任务,则返回&nbsp;<code>-1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>clips = [[0,2],[4,6],[8,10],[1,9],[1,5],[5,9]], time = 10\n<strong>输出:</strong>3\n<strong>解释:</strong>\n选中 [0,2], [8,10], [1,9] 这三个片段。\n然后按下面的方案重制比赛片段\n将 [1,9] 再剪辑为 [1,2] + [2,8] + [8,9] 。\n现在手上的片段为 [0,2] + [2,8] + [8,10],而这些覆盖了整场比赛 [0, 10]。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>clips = [[0,1],[1,2]], time = 5\n<strong>输出:</strong>-1\n<strong>解释:</strong>\n无法只用 [0,1] 和 [1,2] 覆盖 [0,5] 的整个过程。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>clips = [[0,1],[6,8],[0,2],[5,6],[0,4],[0,3],[6,7],[1,3],[4,7],[1,4],[2,5],[2,6],[3,4],[4,5],[5,7],[6,9]], time = 9\n<strong>输出:</strong>3\n<strong>解释: </strong>\n选取片段 [0,4], [4,7] 和 [6,9] 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= clips.length &lt;= 100</code></li>\n\t<li><code>0 &lt;= start<sub>i</sub> &lt;= end<sub>i</sub> &lt;= 100</code></li>\n\t<li><code>1 &lt;= time &lt;= 100</code></li>\n</ul>\n",
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"code": "class Solution(object):\n def videoStitching(self, clips, time):\n \"\"\"\n :type clips: List[List[int]]\n :type time: int\n :rtype: int\n \"\"\"",
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"code": "/**\n * @param {number[][]} clips\n * @param {number} time\n * @return {number}\n */\nvar videoStitching = function(clips, time) {\n\n};",
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"code": "class Solution {\n\n /**\n * @param Integer[][] $clips\n * @param Integer $time\n * @return Integer\n */\n function videoStitching($clips, $time) {\n\n }\n}",
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"code": "defmodule Solution do\n @spec video_stitching(clips :: [[integer]], time :: integer) :: integer\n def video_stitching(clips, time) do\n \n end\nend",
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"What if we sort the intervals? Considering the sorted intervals, how can we solve the problem with dynamic programming?",
"Let's consider a DP(pos, limit) where pos represents the position of the current interval we are gonna take the decision and limit is the current covered area from [0 - limit]. This DP returns the minimum number of taken intervals or infinite if it's not possible to cover the [0 - T] section."
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