Write an arduino sketch that controls a servo using sensing data from a thermistor in your kit. as the hot or cold air moves over the thermistor, the servo should rotate in proportion to the temperature. going from high to cold temperature should move the servo over its entire range of motion. also program the multi-colored led in your kit so that it changes color from extreme red to extreme blue as the temperature changes from hot to cold respectively. for in between temperature values, choose colors that go from warm to cold. the serial monitor window should print the values read from the thermistor, servo position, and the color of led at all instant.

The idea that, for each pair of devices v and w, there’s a strict dichotomy between being “in range” or “out of range” is a simplified abstraction. more accurately, there’s a power decay function f (·) that specifies, for a pair of devices at distance δ, the signal strength f(δ) that they’ll be able to achieve on their wireless connection. (we’ll assume that f (δ) decreases with increasing δ.) we might want to build this into our notion of back-up sets as follows: among the k devices in the back-up set of v, there should be at least one that can be reached with very high signal strength, at least one other that can be reached with moderately high signal strength, and so forth. more concretely, we have values p1 ≥ p2 ≥ . . ≥ pk, so that if the back-up set for v consists of devices at distances d1≤d2≤≤dk,thenweshouldhavef(dj)≥pj foreachj. give an algorithm that determines whether it is possible to choose a back-up set for each device subject to this more detailed condition, still requiring that no device should appear in the back-up set of more than b other devices. again, the algorithm should output the back-up sets themselves, provided they can be found.\