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Instead of having the block on the right just send elements on it's left, wouldn't it make more sense just to access the third to left element in the original block, and then just index into the location of the data that is outside the data owned by 1 thread. This way, when we load in values for the third to leftmost item, we know that the item just outside the block is stored in cache for our thread so we can just make our accesses to that instead