Mountain Scape

Mountain Scape

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You are given the coordinates of the tops of the triangles as input values.

  • The slope angle is 45 degrees.
  • The base is always on the x-axis.
You must return the total area of all triangles. But count the overlapping areas only once.

NOTE:

  • The sum of the X and Y coordinates is always even. (e.g. (1, 3) (0, 2) ...)

Example:

mountain_scape([(1, 1), (4, 2), (7, 3)]) == 13
mountain_scape([(0, 2), (5, 3), (7, 5)]) == 29
mountain_scape([(1, 3), (5, 3), (5, 5), (8, 4)]) == 37

Input: A list of a tuple of two integers.

Output: An integer.

Precondition:

  • 0 ≤ x ≤ 100
  • 1 ≤ y ≤ 50
  • (x+y) % 2 == 0
  • 1 ≤ len(tops) ≤ 50

Settings
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