Created
January 2, 2022 16:23
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# Brute force | |
# Times out | |
# O(n^2) time, O(1) space | |
def max_area(heights) | |
max = 0 | |
current_left_index = nil | |
current_right_index = nil | |
heights.each_with_index do |num1, index1| | |
next if num1 == 0 | |
# Assuming we can find another pole with num1 height, how far out do we need to go for it to be worth it? | |
min_distance_2 = [index1 + 1, max / num1].max | |
heights[min_distance_2..-1]&.each_with_index do |num2, index2| | |
distance = min_distance_2 + index2 - index1 | |
height = [num1, num2].min | |
if height * distance > max | |
max = height * distance | |
end | |
max = [max, height * distance].max | |
end | |
end | |
max | |
end | |
# 2 pointers | |
# O(N) time, O(1) space | |
def max_area(heights) | |
pointer_a = 0 | |
pointer_b = heights.length - 1 | |
max_area = 0 | |
while pointer_a != pointer_b | |
height_a = heights[pointer_a] | |
height_b = heights[pointer_b] | |
distance = pointer_b - pointer_a | |
area = distance * [height_a, height_b].min | |
max_area = [max_area, area].max | |
if height_a < height_b | |
pointer_a += 1 | |
else | |
pointer_b -= 1 | |
end | |
end | |
max_area | |
end |
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