Package g1601_1700.s1691_maximum_height_by_stacking_cuboids

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    1691 - Maximum Height by Stacking Cuboids\.

    Hard

    Given n cuboids where the dimensions of the <code>i<sup>th</sup></code> cuboid is <code>cuboidsi = width<sub>i</sub>, length<sub>i</sub>, height<sub>i</sub></code> ( 0-indexed ). Choose a subset of cuboids and place them on each other.

    You can place cuboid i on cuboid j if <code>width<sub>i</sub><= width<sub>j</sub></code> and <code>length<sub>i</sub><= length<sub>j</sub></code> and <code>height<sub>i</sub><= height<sub>j</sub></code>. You can rearrange any cuboid's dimensions by rotating it to put it on another cuboid.

    Return the maximum height of the stacked cuboids.

    Example 1:

    Input: cuboids = \[\[50,45,20],95,37,53,45,23,12]

    Output: 190

    Explanation:

    Cuboid 1 is placed on the bottom with the 53x37 side facing down with height 95.

    Cuboid 0 is placed next with the 45x20 side facing down with height 50.

    Cuboid 2 is placed next with the 23x12 side facing down with height 45.

    The total height is 95 + 50 + 45 = 190.

    Example 2:

    Input: cuboids = \[\[38,25,45],76,35,3]

    Output: 76

    Explanation:

    You can't place any of the cuboids on the other.

    We choose cuboid 1 and rotate it so that the 35x3 side is facing down and its height is 76.

    Example 3:

    Input: cuboids = \[\[7,11,17],7,17,11,11,7,17,11,17,7,17,7,11,17,11,7]

    Output: 102

    Explanation:

    After rearranging the cuboids, you can see that all cuboids have the same dimension.

    You can place the 11x7 side down on all cuboids so their heights are 17.

    The maximum height of stacked cuboids is 6 \* 17 = 102.

    Constraints:

    • n == cuboids.length

    • 1 &lt;= n &lt;= 100

    • <code>1 <= width<sub>i</sub>, length<sub>i</sub>, height<sub>i</sub><= 100</code>

    • 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 maxHeight(Array<IntArray> cuboids)

      • Methods inherited from class java.lang.Object

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