Package g2001_2100.s2003_smallest_missing_genetic_value_in_each_subtree

Class Solution

java.lang.Object
g2001_2100.s2003_smallest_missing_genetic_value_in_each_subtree.Solution
public class Solution extends java.lang.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 Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int[]
    smallestMissingValueSubtree(int[] parents, int[] nums)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • smallestMissingValueSubtree

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