You are given a 0-indexed 2D integer array
peaks[i] = [xi, yi] states that mountain
i has a peak at coordinates
(xi, yi). A mountain can be described as a right-angled isosceles triangle, with its base along the
x-axis and a right angle at its peak. More formally, the gradients of ascending and descending the mountain are
A mountain is considered visible if its peak does not lie within another mountain (including the border of other mountains).
Return the number of visible mountains.
Input: peaks = [[2,2],[6,3],[5,4]] Output: 2 Explanation: The diagram above shows the mountains. - Mountain 0 is visible since its peak does not lie within another mountain or its sides. - Mountain 1 is not visible since its peak lies within the side of mountain 2. - Mountain 2 is visible since its peak does not lie within another mountain or its sides. There are 2 mountains that are visible.
Input: peaks = [[1,3],[1,3]] Output: 0 Explanation: The diagram above shows the mountains (they completely overlap). Both mountains are not visible since their peaks lie within each other.
1 <= peaks.length <= 105
peaks[i].length == 2
1 <= xi, yi <= 105