diff --git "a/minimum_cost_of_a_path_with_special_roads/meta.json" "b/minimum_cost_of_a_path_with_special_roads/meta.json" new file mode 100644--- /dev/null +++ "b/minimum_cost_of_a_path_with_special_roads/meta.json" @@ -0,0 +1,8379 @@ +{ + "id": 2686, + "name": "minimum_cost_of_a_path_with_special_roads", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/minimum-cost-of-a-path-with-special-roads/", + "date": "1682208000000", + "task_description": "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)`. The **cost** of going from a position `(x1, y1)` to any other position in the space `(x2, y2)` is `|x2 - x1| + |y2 - y1|`. 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 goes in **one direction** from `(x1i, y1i)` to `(x2i, y2i)` with a cost equal to `costi`. You can use each special road any number of times. Return the **minimum** cost required to go from `(startX, startY)` to `(targetX, targetY)`. **Example 1:** **Input:** start = [1,1], target = [4,5], specialRoads = [[1,2,3,3,2],[3,4,4,5,1]] **Output:** 5 **Explanation:** (1,1) to (1,2) with a cost of |1 - 1| + |2 - 1| = 1. (1,2) to (3,3). Use `specialRoads[0]` with the cost 2. (3,3) to (3,4) with a cost of |3 - 3| + |4 - 3| = 1. (3,4) to (4,5). Use `specialRoads[1]` with the cost 1. So the total cost is 1 + 2 + 1 + 1 = 5. **Example 2:** **Input:** start = [3,2], target = [5,7], specialRoads = [[5,7,3,2,1],[3,2,3,4,4],[3,3,5,5,5],[3,4,5,6,6]] **Output:** 7 **Explanation:** It is optimal not to use any special edges and go directly from the starting to the ending position with a cost |5 - 3| + |7 - 2| = 7. Note that the `specialRoads[0]` is directed from (5,7) to (3,2). **Example 3:** **Input:** start = [1,1], target = [10,4], specialRoads = [[4,2,1,1,3],[1,2,7,4,4],[10,3,6,1,2],[6,1,1,2,3]] **Output:** 8 **Explanation:** (1,1) to (1,2) with a cost of |1 - 1| + |2 - 1| = 1. (1,2) to (7,4). Use `specialRoads[1]` with the cost 4. (7,4) to (10,4) with a cost of |10 - 7| + |4 - 4| = 3. **Constraints:** `start.length == target.length == 2` `1 <= startX <= targetX <= 105` `1 <= startY <= targetY <= 105` `1 <= specialRoads.length <= 200` `specialRoads[i].length == 5` `startX <= x1i, x2i <= targetX` `startY <= y1i, y2i <= targetY` `1 <= costi <= 105`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "start = [1,1], target = [4,5], specialRoads = [[1,2,3,3,2],[3,4,4,5,1]]", + "output": "5 " + }, + { + "label": "Example 2", + "input": "start = [3,2], target = [5,7], specialRoads = [[5,7,3,2,1],[3,2,3,4,4],[3,3,5,5,5],[3,4,5,6,6]]", + "output": "7 " + }, + { + "label": "Example 3", + "input": "start = [1,1], target = [10,4], specialRoads = [[4,2,1,1,3],[1,2,7,4,4],[10,3,6,1,2],[6,1,1,2,3]]", + "output": "8 " + } + ], + "private_test_cases": [ + { + "input": [ + [ + 80, + 53 + ], + [ + 94, + 56 + ], + [ + [ + 84, + 56, + 93, + 55, + 52 + ], + [ + 88, + 54, + 84, + 54, + 38 + ], + [ + 90, + 53, + 92, + 54, 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