This c version of a case statement is called a switch statement. the following c code chooses among four alternatives, depending on whether k has the value 0, 1, 2, or 3. switch (k) { case 0: f = i + j; break; /* k = 0 */ case 1: f = g + h; break; /* k = 1 */ case 2: f = g – h; break; /* k = 2 */ case 3: f = i – j; break; /* k = 3 */ } assume the six variables f through k correspond to six registers $s0 through $s5 and that register $t2 contains 4. what is the corresponding mips code? [hint: use the switch variable k to index a jump address table, and then jump via the value loaded. we first test k to be sure it matches one of the cases (0 ≤ k ≤ 3); if not, the code exits the switch statement.]

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.\