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Predict Output
Predict Output
103 questions
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Questions
Predict how often a 16 shard fan out query gets hit by at least one slow shard.
Predict Output
Medium
Estimate the raw vector storage for 10 million 768-dim float32 embeddings before any index overhead.
Predict Output
Easy
Predict the storage blowup when moving from single vector embeddings to ColBERT style multi-vector retrieval.
Predict Output
Hard
Estimate the compression from truncating 3072-dim Matryoshka embeddings to 1024 dims and then binary quantizing.
Predict Output
Medium
A filter matches 0.1% of 100M vectors. Predict whether pre-filter brute force or post-filter ANN serves it faster.
Predict Output
Medium
Predict the new memory footprint after swapping 768-dim embeddings for 3072-dim on a 50M-vector HNSW index.
Predict Output
Medium
Derive the SwiGLU hidden width that matches a 4x GELU FFN parameter budget
Predict Output
Medium
Calculate the per token KV cache footprint of a Llama-3-8B style config in fp16
Predict Output
Hard
Compute the head dimension a config file implies for d_model 4096 and 32 heads
Predict Output
Easy
Work out the KV cache reduction when 32 query heads share 8 KV heads
Predict Output
Medium
Predict the embedding table parameter count for a 32k vocab at d_model 512
Predict Output
Easy
Trace the attention score tensor shape in a 16-head block before softmax
Predict Output
Medium
Apply the 12-L-d-squared rule to size a 24-layer, d_model 1024 decoder
Predict Output
Hard
Predict which response wins after length normalization is applied
Predict Output
Medium
Compute the KL shaped reward this PPO rollout actually optimizes
Predict Output
Medium
Compute the GRPO advantages when every rollout in the group scores 1.0
Predict Output
Hard
Predict which candidate best of N sampling ships given these reward scores
Predict Output
Easy
Three KL coefficient sweeps finished: predict which beta you should ship
Predict Output
Hard
Predict accuracy at 64k thinking tokens from a diminishing scaling curve
Predict Output
Medium
Estimate the daily bill for the reasoning tier behind a 30% router split
Predict Output
Hard
Estimate the daily savings from dropping default high reasoning effort
Predict Output
Medium
Predict the output rate token count when reasoning tokens stay hidden
Predict Output
Easy
Predict when screenshots will overflow this agent's context window
Predict Output
Hard
Predict how many tokens a 1092x1092 image costs under Claude's sizing rule
Predict Output
Medium
Predict what a 20 step warmup does to a 13B run
Predict Output
Medium
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