Package g1101_1200.s1105_filling_bookcase_shelves

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    1105 - Filling Bookcase Shelves\.

    Medium

    You are given an array books where <code>booksi = thickness<sub>i</sub>, height<sub>i</sub></code> indicates the thickness and height of the <code>i<sup>th</sup></code> book. You are also given an integer shelfWidth.

    We want to place these books in order onto bookcase shelves that have a total width shelfWidth.

    We choose some of the books to place on this shelf such that the sum of their thickness is less than or equal to shelfWidth, then build another level of the shelf of the bookcase so that the total height of the bookcase has increased by the maximum height of the books we just put down. We repeat this process until there are no more books to place.

    Note that at each step of the above process, the order of the books we place is the same order as the given sequence of books.

    • For example, if we have an ordered list of 5 books, we might place the first and second book onto the first shelf, the third book on the second shelf, and the fourth and fifth book on the last shelf.

    Return the minimum possible height that the total bookshelf can be after placing shelves in this manner.

    Example 1:

    Input: books = \[\[1,1],2,3,2,3,1,1,1,1,1,1,1,2], shelf\_width = 4

    Output: 6

    Explanation:

    The sum of the heights of the 3 shelves is 1 + 3 + 2 = 6.

    Notice that book number 2 does not have to be on the first shelf.

    Example 2:

    Input: books = \[\[1,3],2,4,3,2], shelfWidth = 6

    Output: 4

    Constraints:

    • 1 &lt;= books.length &lt;= 1000

    • <code>1 <= thickness<sub>i</sub><= shelfWidth <= 1000</code>

    • <code>1 <= height<sub>i</sub><= 1000</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 minHeightShelves(Array<IntArray> books, Integer shelfWidth)

      • Methods inherited from class java.lang.Object

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