Consider a maximization problem that is being solved by Simulated Annealing. Let the objective function value of the current state be 100. Let this state have 5 successors/neighbors: s1(95), s2(97), s3(99), s4(102), and s5(105). The numbers in parentheses represent the corresponding objective function values. The current temperature is 100. Pick the statement that best describes what happens in the next iteration of the Simulated Annealing algorithm. Select one:
a. 51(95) is more likely than s2(97) to be the next state
b. s4(102) and s5(105) are equally likely to be the next state
c. 51(95) is most likely to be the next state
d. s5(105) is most likely to be the next state

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.\