$2.[15\%]$ Consider a sequential C program as illustrated in the figure below. The program is divided into four code segments, T$1,$ T$2,$ T$3,$ and T$4.$ We profile the program execution time on the single$-$core MIPS processor and the execution time for the code segments is: $2$ms for T$1,8$ms for T$2,16$ms for T$3,$ and $2$ms for T$4.$ Moreover, two different processor variants are available: one is the quad$-$core MIPS processor $($with the same instruction set architecture as the single$-$core processor$),$ and the other one is the single$-$core MIPS processor with an $8-$wide SIMD engine. Assume we have converted the program into parallel versions suitable for the two processors, respectively. Please answer the following questions.

$(1)$ Parallelize the program suitable for the multicore processor and calculate the speedup of the parallelized program.

$(2)$ Parallelize the program suitable for the processor with the SIMD engine and calculate the speedup of the parallelized program.

$(3)$ Based on the speedups calculated in $(1)$ and $(2),$ please determine which processor is faster? Why?