Residue router for the SAIR Modular Arithmetic Challenge. Entry class model.ResidueRouterV1, output base 256.

The shipped specialist covers every prime p <= 251 (tiers 1-2). Operands are reduced mod p inside predict_digits (the two-argument normalization used by both reference models); a ~2.9M-parameter network then classifies the product residue, emitted as one base-256 digit. Inputs with p > 251 return [0].

Training data is the complete input space for these tiers: all 995,777 triples (x, y, p) with p prime <= 251 and x, y in [0, p). Accuracy on the public benchmark and on fresh-seed local runs: tier 1 = 1.000, tier 2 = 1.000. See manifest.json for the full model and training descriptions.

Files: model.py (architecture + routing), weights.safetensors, config.json (per-specialist hyperparameters), manifest.json.