leetcode-problemset/leetcode-cn/originData/minimum-cost-of-a-path-with-special-roads.json

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        "question": {
            "questionId": "2686",
            "questionFrontendId": "2662",
            "categoryTitle": "Algorithms",
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            "title": "Minimum Cost of a Path With Special Roads",
            "titleSlug": "minimum-cost-of-a-path-with-special-roads",
            "content": "<p>You are given an array <code>start</code> where <code>start = [startX, startY]</code> represents your initial position <code>(startX, startY)</code> in a 2D space. You are also given the array <code>target</code> where <code>target = [targetX, targetY]</code> represents your target position <code>(targetX, targetY)</code>.</p>\n\n<p>The cost of going from a position <code>(x1, y1)</code> to any other position in the space <code>(x2, y2)</code> is <code>|x2 - x1| + |y2 - y1|</code>.</p>\n\n<p>There are also some special roads. You are given a 2D array <code>specialRoads</code> where <code>specialRoads[i] = [x1<sub>i</sub>, y1<sub>i</sub>, x2<sub>i</sub>, y2<sub>i</sub>, cost<sub>i</sub>]</code> indicates that the <code>i<sup>th</sup></code> special road can take you from <code>(x1<sub>i</sub>, y1<sub>i</sub>)</code> to <code>(x2<sub>i</sub>, y2<sub>i</sub>)</code> with a cost equal to <code>cost<sub>i</sub></code>. You can use each special road any number of times.</p>\n\n<p>Return <em>the minimum cost required to go from</em> <code>(startX, startY)</code> to <code>(targetX, targetY)</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> start = [1,1], target = [4,5], specialRoads = [[1,2,3,3,2],[3,4,4,5,1]]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The optimal path from (1,1) to (4,5) is the following:\n- (1,1) -&gt; (1,2). This move has a cost of |1 - 1| + |2 - 1| = 1.\n- (1,2) -&gt; (3,3). This move uses the first special edge, the cost is 2.\n- (3,3) -&gt; (3,4). This move has a cost of |3 - 3| + |4 - 3| = 1.\n- (3,4) -&gt; (4,5). This move uses the second special edge, the cost is 1.\nSo the total cost is 1 + 2 + 1 + 1 = 5.\nIt can be shown that we cannot achieve a smaller total cost than 5.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> start = [3,2], target = [5,7], specialRoads = [[3,2,3,4,4],[3,3,5,5,5],[3,4,5,6,6]]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> It is optimal to not use any special edges and go directly from the starting to the ending position with a cost |5 - 3| + |7 - 2| = 7.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>start.length == target.length == 2</code></li>\n\t<li><code>1 &lt;= startX &lt;= targetX &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= startY &lt;= targetY &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= specialRoads.length &lt;= 200</code></li>\n\t<li><code>specialRoads[i].length == 5</code></li>\n\t<li><code>startX &lt;= x1<sub>i</sub>, x2<sub>i</sub> &lt;= targetX</code></li>\n\t<li><code>startY &lt;= y1<sub>i</sub>, y2<sub>i</sub> &lt;= targetY</code></li>\n\t<li><code>1 &lt;= cost<sub>i</sub> &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "前往目标的最小代价",
            "translatedContent": "<p>给你一个数组 <code>start</code> ，其中 <code>start = [startX, startY]</code> 表示你的初始位置位于二维空间上的 <code>(startX, startY)</code> 。另给你一个数组 <code>target</code> ，其中 <code>target = [targetX, targetY]</code> 表示你的目标位置 <code>(targetX, targetY)</code> 。</p>\n\n<p>从位置 <code>(x1, y1)</code> 到空间中任一其他位置 <code>(x2, y2)</code> 的代价是 <code>|x2 - x1| + |y2 - y1|</code> 。</p>\n\n<p>给你一个二维数组 <code>specialRoads</code> ，表示空间中存在的一些特殊路径。其中 <code>specialRoads[i] = [x1<sub>i</sub>, y1<sub>i</sub>, x2<sub>i</sub>, y2<sub>i</sub>, cost<sub>i</sub>]</code> 表示第 <code>i</code> 条特殊路径可以从 <code>(x1<sub>i</sub>, y1<sub>i</sub>)</code> 到 <code>(x2<sub>i</sub>, y2<sub>i</sub>)</code> ，但成本等于 <code>cost<sub>i</sub></code> 。你可以使用每条特殊路径任意次数。</p>\n\n<p>返回从 <code>(startX, startY)</code> 到 <code>(targetX, targetY)</code> 所需的最小代价。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>start = [1,1], target = [4,5], specialRoads = [[1,2,3,3,2],[3,4,4,5,1]]\n<strong>输出：</strong>5\n<strong>解释：</strong>从 (1,1) 到 (4,5) 的最优路径如下：\n- (1,1) -&gt; (1,2) ，移动的代价是 |1 - 1| + |2 - 1| = 1 。\n- (1,2) -&gt; (3,3) ，移动使用第一条特殊路径，代价是 2 。\n- (3,3) -&gt; (3,4) ，移动的代价是 |3 - 3| + |4 - 3| = 1.\n- (3,4) -&gt; (4,5) ，移动使用第二条特殊路径，代价是 1 。\n总代价是 1 + 2 + 1 + 1 = 5 。\n可以证明无法以小于 5 的代价完成从 (1,1) 到 (4,5) 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>start = [3,2], target = [5,7], specialRoads = [[3,2,3,4,4],[3,3,5,5,5],[3,4,5,6,6]]\n<strong>输出：</strong>7\n<strong>解释：</strong>最优路径是不使用任何特殊路径，直接以 |5 - 3| + |7 - 2| = 7 的代价从初始位置到达目标位置。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>start.length == target.length == 2</code></li>\n\t<li><code>1 &lt;= startX &lt;= targetX &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= startY &lt;= targetY &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= specialRoads.length &lt;= 200</code></li>\n\t<li><code>specialRoads[i].length == 5</code></li>\n\t<li><code>startX &lt;= x1<sub>i</sub>, x2<sub>i</sub> &lt;= targetX</code></li>\n\t<li><code>startY &lt;= y1<sub>i</sub>, y2<sub>i</sub> &lt;= targetY</code></li>\n\t<li><code>1 &lt;= cost<sub>i</sub> &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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