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| 1 | +/** |
| 2 | + * [1766] Tree of Coprimes |
| 3 | + * |
| 4 | + * There is a tree (i.e., a connected, undirected graph that has no cycles) consisting of n nodes numbered from 0 to n - 1 and exactly n - 1 edges. Each node has a value associated with it, and the root of the tree is node 0. |
| 5 | + * To represent this tree, you are given an integer array nums and a 2D array edges. Each nums[i] represents the i^th node's value, and each edges[j] = [uj, vj] represents an edge between nodes uj and vj in the tree. |
| 6 | + * Two values x and y are coprime if gcd(x, y) == 1 where gcd(x, y) is the greatest common divisor of x and y. |
| 7 | + * An ancestor of a node i is any other node on the shortest path from node i to the root. A node is not considered an ancestor of itself. |
| 8 | + * Return an array ans of size n, where ans[i] is the closest ancestor to node i such that nums[i] and nums[ans[i]] are coprime, or -1 if there is no such ancestor. |
| 9 | + * |
| 10 | + * Example 1: |
| 11 | + * <img alt="" src="https://assets.leetcode.com/uploads/2021/01/06/untitled-diagram.png" style="width: 191px; height: 281px;" /> |
| 12 | + * |
| 13 | + * Input: nums = [2,3,3,2], edges = [[0,1],[1,2],[1,3]] |
| 14 | + * Output: [-1,0,0,1] |
| 15 | + * Explanation: In the above figure, each node's value is in parentheses. |
| 16 | + * - Node 0 has no coprime ancestors. |
| 17 | + * - Node 1 has only one ancestor, node 0. Their values are coprime (gcd(2,3) == 1). |
| 18 | + * - Node 2 has two ancestors, nodes 1 and 0. Node 1's value is not coprime (gcd(3,3) == 3), but node 0's |
| 19 | + * value is (gcd(2,3) == 1), so node 0 is the closest valid ancestor. |
| 20 | + * - Node 3 has two ancestors, nodes 1 and 0. It is coprime with node 1 (gcd(3,2) == 1), so node 1 is its |
| 21 | + * closest valid ancestor. |
| 22 | + * |
| 23 | + * Example 2: |
| 24 | + * <img alt="" src="https://assets.leetcode.com/uploads/2021/01/06/untitled-diagram1.png" style="width: 441px; height: 291px;" /> |
| 25 | + * |
| 26 | + * Input: nums = [5,6,10,2,3,6,15], edges = [[0,1],[0,2],[1,3],[1,4],[2,5],[2,6]] |
| 27 | + * Output: [-1,0,-1,0,0,0,-1] |
| 28 | + * |
| 29 | + * |
| 30 | + * Constraints: |
| 31 | + * |
| 32 | + * nums.length == n |
| 33 | + * 1 <= nums[i] <= 50 |
| 34 | + * 1 <= n <= 10^5 |
| 35 | + * edges.length == n - 1 |
| 36 | + * edges[j].length == 2 |
| 37 | + * 0 <= uj, vj < n |
| 38 | + * uj != vj |
| 39 | + * |
| 40 | + */ |
| 41 | +pub struct Solution {} |
| 42 | + |
| 43 | +// problem: https://leetcode.com/problems/tree-of-coprimes/ |
| 44 | +// discuss: https://leetcode.com/problems/tree-of-coprimes/discuss/?currentPage=1&orderBy=most_votes&query= |
| 45 | + |
| 46 | +// submission codes start here |
| 47 | + |
| 48 | +impl Solution { |
| 49 | + pub fn get_coprimes(nums: Vec<i32>, edges: Vec<Vec<i32>>) -> Vec<i32> { |
| 50 | + vec![] |
| 51 | + } |
| 52 | +} |
| 53 | + |
| 54 | +// submission codes end |
| 55 | + |
| 56 | +#[cfg(test)] |
| 57 | +mod tests { |
| 58 | + use super::*; |
| 59 | + |
| 60 | + #[test] |
| 61 | + #[ignore] |
| 62 | + fn test_1766_example_1() { |
| 63 | + let nums = vec![2, 3, 3, 2]; |
| 64 | + let edges = vec![vec![0, 1], vec![1, 2], vec![1, 3]]; |
| 65 | + |
| 66 | + let result = vec![-1, 0, 0, 1]; |
| 67 | + |
| 68 | + assert_eq!(Solution::get_coprimes(nums, edges), result); |
| 69 | + } |
| 70 | + |
| 71 | + #[test] |
| 72 | + #[ignore] |
| 73 | + fn test_1766_example_2() { |
| 74 | + let nums = vec![5, 6, 10, 2, 3, 6, 15]; |
| 75 | + let edges = vec![ |
| 76 | + vec![0, 1], |
| 77 | + vec![0, 2], |
| 78 | + vec![1, 3], |
| 79 | + vec![1, 4], |
| 80 | + vec![2, 5], |
| 81 | + vec![2, 6], |
| 82 | + ]; |
| 83 | + |
| 84 | + let result = vec![-1, 0, -1, 0, 0, 0, -1]; |
| 85 | + |
| 86 | + assert_eq!(Solution::get_coprimes(nums, edges), result); |
| 87 | + } |
| 88 | +} |
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