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Meursault already denies any sense of hope (reflecting his position as the absurd hero), rather, embracing the absurd. It is a bit weird if there would be a focus on the end result, which I don't really think matters, to the reader nor Meursault.This is emphatically not the case, though! Not only does he not deny any sense of hope, he dwells on his hope. He practically lives on it.
I'll quote from the book:
"There were two other things about which I was always thinking: the dawn and my appeal. . .
"Then all day there was my appeal to think about. I made the most of this idea, studying my effects so as to squeeze out the maximum of consolation. . .
"I gave myself leave, to consider the other alternative; that my appeal was successful. And then the trouble was to calm down that sudden rush of joy racing through my body and even bringing tears to my eyes."
The prison scenes mostly concern how he alternates between clinging to hope and distracting his mind. He merely claims to lose hope in the book's very last paragraph, and imagines a spectacular public execution. (Something else that's quite weird in itself, as the French banned public executions in 1939 and the book takes place in the 1940s.)
> I think the first part was an exploration of the absurd hero's life, and the second part was more of the reaction to the absurd hero by society.
This is by no means clear, as I don't think that Mersault is a well-defined "absurd hero" (VERY subtle differences in framing, and more introspective narration, would have you believe that he's the perfect bourgeois citizen!) nor is the "reaction by society" at all credible.