This will be my last response to you. If you remain trapped in this cycle of splitting hairs, any message that doesn't get to the point or lacks technical validity will be ignored: 1. My answer to your silly question about "exhaustive vs. non-exhaustive search": No, my point is exactly the opposite. In a non-exhaustive search (the only viable one with limited resources), the prefix strategy offers a statistical advantage. Your false dichotomy reveals that you didn't understand the fundamental concept, even though I clarified at the beginning of the thread that this is only valid for "those who try their luck," that is, the majority with limited resources. 2. You're back with the endless loop of mentioning "sequential algorithm", which I've refuted in all my previous responses: You're making the same mistake for the third time: you're confusing the proof with the concept. 'Early exit' doesn't require sequentiality; it's a Boolean condition independent of each thread. 3. Regarding your thoughts on the "practical reality of GPUs" You say that 'GPUs don't work the way you think,' but: -Where is your evidence that memcmp() cannot be parallelized? -Where is your benchmark showing that checking prefixes is slower? -Where is your proof that the relationship 16^L ≈ N is mathematically incorrect? So far, you have only presented dogma, not data. 4. Why is your rebuttal illogical here?: Your objection boils down to: 'Since I explained the concept with a sequential loop in Python, the concept is inherently sequential.' That's like saying multiplication is inherently sequential because you learned it from tables. Answer this directly: -Why is it statistically inefficient to perform N quick checks versus N full checks, when N ≈ 16^L? If you can't answer this mathematically, I'll acknowledge that you're avoiding the substantive debate.
This will be my last response to you. If you remain trapped in this cycle of splitting hairs, any message that doesn't get to the point or lacks technical validity will be ignored: 1. My answer to your silly question about "exhaustive vs. non-exhaustive search": No, my point is exactly the opposite. In a non-exhaustive search (the only viable one with limited resources), the prefix strategy offers a statistical advantage. Your false dichotomy reveals that you didn't understand the fundamental concept, even though I clarified at the beginning of the thread that this is only valid for "those who try their luck," that is, the majority with limited resources. 2. You're back with the endless loop of mentioning "sequential algorithm", which I've refuted in all my previous responses: You're making the same mistake for the third time: you're confusing the proof with the concept. 'Early exit' doesn't require sequentiality; it's a Boolean condition independent of each thread. 3. Regarding your thoughts on the "practical reality of GPUs" You say that 'GPUs don't work the way you think,' but: -Where is your evidence that memcmp() cannot be parallelized? -Where is your benchmark showing that checking prefixes is slower? -Where is your proof that the relationship 16^L ≈ N is mathematically incorrect? So far, you have only presented dogma, not data. 4. Why is your rebuttal illogical here?: Your objection boils down to: 'Since I explained the concept with a sequential loop in Python, the concept is inherently sequential.' That's like saying multiplication is inherently sequential because you learned it from tables. Answer this directly: -Why is it statistically inefficient to perform N quick checks versus N full checks, when N ≈ 16^L? If you can't answer this mathematically, I'll acknowledge that you're avoiding the substantive debate.

This will be my last response to you. If you remain trapped in this cycle of splitting hairs, any message that doesn't get to the point or lacks technical validity will be ignored: 1. My answer to your silly question about "exhaustive vs. non-exhaustive search": No, my point is exactly the opposite. In a non-exhaustive search (the only viable one with limited resources), the prefix strategy offers a statistical advantage. Your false dichotomy reveals that you didn't understand the fundamental concept, even though I clarified at the beginning of the thread that this is only valid for "those who try their luck," that is, the majority with limited resources. 2. You're back with the endless loop of mentioning "sequential algorithm", which I've refuted in all my previous responses: You're making the same mistake for the third time: you're confusing the proof with the concept. 'Early exit' doesn't require sequentiality; it's a Boolean condition independent of each thread. 3. Regarding your thoughts on the "practical reality of GPUs" You say that 'GPUs don't work the way you think,' but: -Where is your evidence that memcmp() cannot be parallelized? -Where is your benchmark showing that checking prefixes is slower? -Where is your proof that the relationship 16^L ≈ N is mathematically incorrect? So far, you have only presented dogma, not data. 4. Why is your rebuttal illogical here?: Your objection boils down to: 'Since I explained the concept with a sequential loop in Python, the concept is inherently sequential.' That's like saying multiplication is inherently sequential because you learned it from tables. Answer this directly: -Why is it statistically inefficient to perform N quick checks versus N full checks, when N ≈ 16^L? If you can't answer this mathematically, I'll acknowledge that you're avoiding the substantive debate.

This will be my last response to you. If you remain trapped in this cycle of splitting hairs, any message that doesn't get to the point or lacks technical validity will be ignored: 1. My answer to your silly question about "exhaustive vs. non-exhaustive search": No, my point is exactly the opposite. In a non-exhaustive search (the only viable one with limited resources), the prefix strategy offers a statistical advantage. Your false dichotomy reveals that you didn't understand the fundamental concept, even though I clarified at the beginning of the thread that this is only valid for "those who try their luck," that is, the majority with limited resources. 2. You're back with the endless loop of mentioning "sequential algorithm", which I've refuted in all my previous responses: You're making the same mistake for the third time: you're confusing the proof with the concept. 'Early exit' doesn't require sequentiality; it's a Boolean condition independent of each thread. 3. Regarding your thoughts on the "practical reality of GPUs" You say that 'GPUs don't work the way you think,' but: -Where is your evidence that memcmp() cannot be parallelized? -Where is your benchmark showing that checking prefixes is slower? -Where is your proof that the relationship 16^L ≈ N is mathematically incorrect? So far, you have only presented dogma, not data. 4. Why is your rebuttal illogical here?: Your objection boils down to: 'Since I explained the concept with a sequential loop in Python, the concept is inherently sequential.' That's like saying multiplication is inherently sequential because you learned it from tables. Answer this directly: -Why is it statistically inefficient to perform N quick checks versus N full checks, when N ≈ 16^L? If you can't answer this mathematically, I'll acknowledge that you're avoiding the substantive debate.