We are publishing an update to OpenAI problem #109 (integer multiplication) with further tightening.
κ = 2⁻³⁴ (tightened from κ = 2⁻¹⁸²)
The exact witness is 8.3 × 10⁻¹¹, a roughly 48 million fold improvement over the previous result and a 2¹⁴⁸ fold improvement over original OAI result.
The improvement came from removing the spacing penalty behind the quadratic bottleneck. This was done by moving compact control bits instead of entire windows.
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One Direction grabando un VM en el Westin de Lima con las directioners más acosadoras que haya existido:
We are publishing an update to OpenAI problem #109 Integer multiplication) with another substantial further tightening:
κ = 2⁻⁵⁹ (from OpenAI’s original κ = 2⁻¹⁸²)
Approximately 500 thousand fold improvement over our previous result and a 2¹²³ fold improvement over the original OAI result.
The latest redesigned the finite network to share intermediate computations and scratch space, then tightened the recursion and Gaussian estimates.
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Pikachu was spotted hitting Kuromi at a mall
Among the aggravating circumstances added to the charges are racism and continued violence