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secret_heights

Question 1: Determine the altitude of the airplane Problem: Our aircraft have two downward-facing laser altimeters (which report the airplane’s height above ground in meters) and a GPS (which reports the plane’s altitude relative to mean sea level). When we are flying down low (below ~15 meters), we care very much exactly how far above the ground the aircraft is, in order to maintain a precise height for spraying and landing. As the plane gets higher, it tends to fly over rougher terrain, and it becomes more important to fly a smooth trajectory through space than to precisely follow the contour of the ground below. Also, due to dust, sensor noise, and other phenomena, one or both of the altimeters will sometimes report height readings that are not reflective of the plane’s actual height above the ground. These incorrect readings will be physically impossible (e.g., they will jump around a lot between successive readings, 10ms apart). The naive approach of just using the data from the altimeters is clearly not sufficient to produce an accurate, smooth estimate of the plane’s current height above the ground. Your task is to write a C++ program that reads in the real airplane log data we’ve provided (as CSV files) of both correct and incorrect altimeter behavior and outputs (to standard out) a running estimate of the plane’s true height above ground level. This estimate sho

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