1642. Furthest Building You Can Reach

Source code notebook Author Update time

You are given an integer array heights representing the heights of buildings, some bricks, and some ladders.

You start your journey from building 0 and move to the next building by possibly using bricks or ladders.

While moving from building i to building i+1 ( 0-indexed ),

  • If the current building's height is greater than or equal to the next building's height, you do not need a ladder or bricks.
  • If the current building's height is less than the next building's height, you can either use one ladder or (h[i+1] - h[i]) bricks.

Return the furthest building index (0-indexed) you can reach if you use the given ladders and bricks optimally.

Example 1:

Input: heights = [4,2,7,6,9,14,12], bricks = 5, ladders = 1
Output: 4
Explanation: Starting at building 0, you can follow these steps:
- Go to building 1 without using ladders nor bricks since 4 >= 2.
- Go to building 2 using 5 bricks. You must use either bricks or ladders because 2 < 7.
- Go to building 3 without using ladders nor bricks since 7 >= 6.
- Go to building 4 using your only ladder. You must use either bricks or ladders because 6 < 9.
It is impossible to go beyond building 4 because you do not have any more bricks or ladders.

Example 2:

Input: heights = [4,12,2,7,3,18,20,3,19], bricks = 10, ladders = 2
Output: 7

Example 3:

Input: heights = [14,3,19,3], bricks = 17, ladders = 0
Output: 3

Constraints:

  • 1 <= heights.length <= 105
  • 1 <= heights[i] <= 106
  • 0 <= bricks <= 109
  • 0 <= ladders <= heights.length
# @lc code=start
using LeetCode

function furthest_building(heights::Vector{Int}, bricks::Int, ladders::Int)
    q = Int[]
    for i in 1:(length(heights) - 1)
        diff = heights[i + 1] - heights[i]
        if diff > 0
            if diff > bricks && ladders == 0
                return i - 1
            end
            if bricks >= diff
                heappush!(q, diff)
                bricks -= diff
            else
                if !isempty(q) && q[1] > diff
                    bricks += heappop!(q) - diff
                    heappush!(q, diff)
                end
                ladders -= 1
            end
        end
    end
    return length(heights) - 1
end
# @lc code=end
furthest_building (generic function with 1 method)

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