Package g1401_1500.s1443_minimum_time_to_collect_all_apples_in_a_tree

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    1443 - Minimum Time to Collect All Apples in a Tree.

    Medium

    Given an undirected tree consisting of n vertices numbered from 0 to n-1, which has some apples in their vertices. You spend 1 second to walk over one edge of the tree. Return the minimum time in seconds you have to spend to collect all apples in the tree, starting at vertex 0 and coming back to this vertex.

    The edges of the undirected tree are given in the array edges, where <code>edgesi = a<sub>i</sub>, b<sub>i</sub></code> means that exists an edge connecting the vertices <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code>. Additionally, there is a boolean array hasApple, where hasApple[i] = true means that vertex i has an apple; otherwise, it does not have any apple.

    Example 1:

    Input: n = 7, edges = [0,1,0,2,1,4,1,5,2,3,2,6], hasApple = false,false,true,false,true,true,false

    Output: 8

    Explanation: The figure above represents the given tree where red vertices have an apple. One optimal path to collect all apples is shown by the green arrows.

    Example 2:

    Input: n = 7, edges = [0,1,0,2,1,4,1,5,2,3,2,6], hasApple = false,false,true,false,false,true,false

    Output: 6

    Explanation: The figure above represents the given tree where red vertices have an apple. One optimal path to collect all apples is shown by the green arrows.

    Example 3:

    Input: n = 7, edges = [0,1,0,2,1,4,1,5,2,3,2,6], hasApple = false,false,false,false,false,false,false

    Output: 0

    Constraints:

    • <code>1 <= n <= 10<sup>5</sup></code>

    • edges.length == n - 1

    • edges[i].length == 2

    • <code>0 <= a<sub>i</sub>< b<sub>i</sub><= n - 1</code>

    • <code>from<sub>i</sub>< to<sub>i</sub></code>

    • hasApple.length == n

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer minTime(Integer n, Array<IntArray> edges, List<Boolean> hasApple)

      • Methods inherited from class java.lang.Object

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