diff --git "a/divide_nodes_into_the_maximum_number_of_groups/meta.json" "b/divide_nodes_into_the_maximum_number_of_groups/meta.json" new file mode 100644--- /dev/null +++ "b/divide_nodes_into_the_maximum_number_of_groups/meta.json" @@ -0,0 +1,133575 @@ +{ + "id": 2583, + "name": "divide_nodes_into_the_maximum_number_of_groups", + "difficulty": "Hard", + "link": "https://leetcode.com/problems/divide-nodes-into-the-maximum-number-of-groups/", + "date": "1669507200000", + "task_description": "You are given a positive integer `n` representing the number of nodes in an **undirected** graph. The nodes are labeled from `1` to `n`. You are also given a 2D integer array `edges`, where `edges[i] = [ai, bi]` indicates that there is a **bidirectional** edge between nodes `ai` and `bi`. **Notice** that the given graph may be disconnected. Divide the nodes of the graph into `m` groups (**1-indexed**) such that: Each node in the graph belongs to exactly one group. For every pair of nodes in the graph that are connected by an edge `[ai, bi]`, if `ai` belongs to the group with index `x`, and `bi` belongs to the group with index `y`, then `|y - x| = 1`. Return _the maximum number of groups (i.e., maximum _`m`_) into which you can divide the nodes_. Return `-1` _if it is impossible to group the nodes with the given conditions_. **Example 1:** ``` **Input:** n = 6, edges = [[1,2],[1,4],[1,5],[2,6],[2,3],[4,6]] **Output:** 4 **Explanation:** As shown in the image we: - Add node 5 to the first group. - Add node 1 to the second group. - Add nodes 2 and 4 to the third group. - Add nodes 3 and 6 to the fourth group. We can see that every edge is satisfied. It can be shown that that if we create a fifth group and move any node from the third or fourth group to it, at least on of the edges will not be satisfied. ``` **Example 2:** ``` **Input:** n = 3, edges = [[1,2],[2,3],[3,1]] **Output:** -1 **Explanation:** If we add node 1 to the first group, node 2 to the second group, and node 3 to the third group to satisfy the first two edges, we can see that the third edge will not be satisfied. It can be shown that no grouping is possible. ``` **Constraints:** `1 <= n <= 500` `1 <= edges.length <= 104` `edges[i].length == 2` `1 <= ai, bi <= n` `ai != bi` There is at most one edge between any pair of vertices.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "n = 6, edges = [[1,2],[1,4],[1,5],[2,6],[2,3],[4,6]]", + "output": "4 " + }, + { + "label": "Example 2", + "input": "n = 3, edges = [[1,2],[2,3],[3,1]]", + "output": "-1 " + } + ], + "private_test_cases": [ + { + "input": [ + 449, + [ + [ + 247, + 255 + ], + [ + 192, + 319 + ], + [ + 56, + 309 + ], + [ + 57, + 274 + ], + [ + 156, + 396 + ], + [ + 97, + 310 + ], + [ + 317, + 350 + ], + [ + 122, + 403 + ], + [ + 249, + 444 + ], + [ + 283, + 357 + ], + [ + 179, + 236 + ], + [ + 119, + 334 + ], + [ + 44, + 191 + ], + [ + 11, + 14 + ], + [ + 172, + 196 + ], + [ + 117, + 446 + ], + [ + 150, + 443 + ], + [ + 29, + 333 + ], + [ + 360, + 432 + ], + [ + 146, + 180 + ], + [ + 157, + 338 + ], + [ + 29, + 418 + ], + [ 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