Package g1801_1900.s1840_maximum_building_height

Class Solution

  • public class Solution
extends Object
    1840 - Maximum Building Height.

    Hard

    You want to build n new buildings in a city. The new buildings will be built in a line and are labeled from 1 to n.

    However, there are city restrictions on the heights of the new buildings:

    • The height of each building must be a non-negative integer.
    • The height of the first building must be 0.
    • The height difference between any two adjacent buildings cannot exceed 1.

    Additionally, there are city restrictions on the maximum height of specific buildings. These restrictions are given as a 2D integer array restrictions where restrictions[i] = [idi, maxHeighti] indicates that building idi must have a height less than or equal to maxHeighti.

    It is guaranteed that each building will appear at most once in restrictions, and building 1 will not be in restrictions.

    Return the maximum possible height of the tallest building.

    Example 1:

    Input: n = 5, restrictions = [[2,1],[4,1]]

    Output: 2

    Explanation: The green area in the image indicates the maximum allowed height for each building. We can build the buildings with heights [0,1,2,1,2], and the tallest building has a height of 2.

    Example 2:

    Input: n = 6, restrictions = []

    Output: 5

    Explanation: The green area in the image indicates the maximum allowed height for each building. We can build the buildings with heights [0,1,2,3,4,5], and the tallest building has a height of 5.

    Example 3:

    Input: n = 10, restrictions = [[5,3],[2,5],[7,4],[10,3]]

    Output: 5

    Explanation: The green area in the image indicates the maximum allowed height for each building. We can build the buildings with heights [0,1,2,3,3,4,4,5,4,3], and the tallest building has a height of 5.

    Constraints:

    • 2 <= n <= 109
    • 0 <= restrictions.length <= min(n - 1, 105)
    • 2 <= idi <= n
    • idi is unique.
    • 0 <= maxHeighti <= 109

    • Constructor Detail

      • Solution

        public Solution()

    • Method Detail

      • maxBuilding

        public int maxBuilding​(int n,
                       int[][] restrictions)