{ "data": { "question": { "questionId": "2686", "questionFrontendId": "2662", "categoryTitle": "Algorithms", "boundTopicId": 2249460, "title": "Minimum Cost of a Path With Special Roads", "titleSlug": "minimum-cost-of-a-path-with-special-roads", "content": "

You are given an array start where start = [startX, startY] represents your initial position (startX, startY) in a 2D space. You are also given the array target where target = [targetX, targetY] represents your target position (targetX, targetY).

\n\n

The cost of going from a position (x1, y1) to any other position in the space (x2, y2) is |x2 - x1| + |y2 - y1|.

\n\n

There are also some special roads. You are given a 2D array specialRoads where specialRoads[i] = [x1i, y1i, x2i, y2i, costi] indicates that the ith special road can take you from (x1i, y1i) to (x2i, y2i) with a cost equal to costi. You can use each special road any number of times.

\n\n

Return the minimum cost required to go from (startX, startY) to (targetX, targetY).

\n\n

 

\n

Example 1:

\n\n
\nInput: start = [1,1], target = [4,5], specialRoads = [[1,2,3,3,2],[3,4,4,5,1]]\nOutput: 5\nExplanation: The optimal path from (1,1) to (4,5) is the following:\n- (1,1) -> (1,2). This move has a cost of |1 - 1| + |2 - 1| = 1.\n- (1,2) -> (3,3). This move uses the first special edge, the cost is 2.\n- (3,3) -> (3,4). This move has a cost of |3 - 3| + |4 - 3| = 1.\n- (3,4) -> (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
\n\n

Example 2:

\n\n
\nInput: start = [3,2], target = [5,7], specialRoads = [[3,2,3,4,4],[3,3,5,5,5],[3,4,5,6,6]]\nOutput: 7\nExplanation: 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
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "前往目标的最小代价", "translatedContent": "

给你一个数组 start ,其中 start = [startX, startY] 表示你的初始位置位于二维空间上的 (startX, startY) 。另给你一个数组 target ,其中 target = [targetX, targetY] 表示你的目标位置 (targetX, targetY)

\n\n

从位置 (x1, y1) 到空间中任一其他位置 (x2, y2) 的代价是 |x2 - x1| + |y2 - y1|

\n\n

给你一个二维数组 specialRoads ,表示空间中存在的一些特殊路径。其中 specialRoads[i] = [x1i, y1i, x2i, y2i, costi] 表示第 i 条特殊路径可以从 (x1i, y1i)(x2i, y2i) ,但成本等于 costi 。你可以使用每条特殊路径任意次数。

\n\n

返回从 (startX, startY)(targetX, targetY) 所需的最小代价。

\n\n

 

\n\n

示例 1:

\n\n
输入:start = [1,1], target = [4,5], specialRoads = [[1,2,3,3,2],[3,4,4,5,1]]\n输出:5\n解释:从 (1,1) 到 (4,5) 的最优路径如下:\n- (1,1) -> (1,2) ,移动的代价是 |1 - 1| + |2 - 1| = 1 。\n- (1,2) -> (3,3) ,移动使用第一条特殊路径,代价是 2 。\n- (3,3) -> (3,4) ,移动的代价是 |3 - 3| + |4 - 3| = 1.\n- (3,4) -> (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
\n\n

示例 2:

\n\n
输入:start = [3,2], target = [5,7], specialRoads = [[3,2,3,4,4],[3,3,5,5,5],[3,4,5,6,6]]\n输出:7\n解释: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
\n\n

 

\n\n

提示:

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