Package g2001_2100.s2003_smallest_missing_genetic_value_in_each_subtree

Class Solution

  • public class Solution
extends Object
    2003 - Smallest Missing Genetic Value in Each Subtree.

    Hard

    There is a family tree rooted at 0 consisting of n nodes numbered 0 to n - 1. You are given a 0-indexed integer array parents, where parents[i] is the parent for node i. Since node 0 is the root , parents[0] == -1.

    There are 105 genetic values, each represented by an integer in the inclusive range [1, 105]. You are given a 0-indexed integer array nums, where nums[i] is a distinct genetic value for node i.

    Return an array ans of length n where ans[i] is the smallest genetic value that is missing from the subtree rooted at node i.

    The subtree rooted at a node x contains node x and all of its descendant nodes.

    Example 1:

    Input: parents = [-1,0,0,2], nums = [1,2,3,4]

    Output: [5,1,1,1]

    Explanation: The answer for each subtree is calculated as follows:

    • 0: The subtree contains nodes [0,1,2,3] with values [1,2,3,4]. 5 is the smallest missing value.

    • 1: The subtree contains only node 1 with value 2. 1 is the smallest missing value.

    • 2: The subtree contains nodes [2,3] with values [3,4]. 1 is the smallest missing value.

    • 3: The subtree contains only node 3 with value 4. 1 is the smallest missing value.

    Example 2:

    Input: parents = [-1,0,1,0,3,3], nums = [5,4,6,2,1,3]

    Output: [7,1,1,4,2,1]

    Explanation: The answer for each subtree is calculated as follows:

    • 0: The subtree contains nodes [0,1,2,3,4,5] with values [5,4,6,2,1,3]. 7 is the smallest missing value.

    • 1: The subtree contains nodes [1,2] with values [4,6]. 1 is the smallest missing value.

    • 2: The subtree contains only node 2 with value 6. 1 is the smallest missing value.

    • 3: The subtree contains nodes [3,4,5] with values [2,1,3]. 4 is the smallest missing value.

    • 4: The subtree contains only node 4 with value 1. 2 is the smallest missing value.

    • 5: The subtree contains only node 5 with value 3. 1 is the smallest missing value.

    Example 3:

    Input: parents = [-1,2,3,0,2,4,1], nums = [2,3,4,5,6,7,8]

    Output: [1,1,1,1,1,1,1]

    Explanation: The value 1 is missing from all the subtrees.

    Constraints:

    • n == parents.length == nums.length
    • 2 <= n <= 105
    • 0 <= parents[i] <= n - 1 for i != 0
    • parents[0] == -1
    • parents represents a valid tree.
    • 1 <= nums[i] <= 105
    • Each nums[i] is distinct.

    • Constructor Detail

      • Solution

        public Solution()

    • Method Detail

      • smallestMissingValueSubtree

        public int[] smallestMissingValueSubtree​(int[] parents,
                                         int[] nums)