DON'T USE CHATGPT!!! It's unbelievable the number of people answering with ChatGPT and think we don't realize it. If you answer manually, I will UPVOTE it; if you use ChatGPT I will DOWNVOTE it and send an email to Chegg to report the answer.

Suppose we have a quad-core processor. Each core is a pipelined core with no superscalar or hyperthreading capabilities. Each has its own L1 cache. There is a shared L2 cache (i.e. all cores can access the same L2 cach3). The block size for all caches is 32 bytes in size. We have an array of 256 integers. We want to increment each element of that array by one. We want to do that by writing a multithreaded program. The elements of this array will be divided among the four cores. State which elements of that array will be assigned to which core to reduce the overhead of coherence, in each one of the following scenarios. Also, for each one, give one sentence justification:

a. Each L1 cache is 64KB of size and is 2-way set associative.

b. Each L1 cache is 32KB of size and is 4-way set associative.

c. Each L1 cache is 16KB and is 8-way set associate.

[Definition: x-way set associative cache means that the cache is divided into sets and each set can hold x blocks]