## Problem 067 — rank:222

**Title:** Metagenome reconstruction

**Added binding assumptions (LaTeX):**

```latex
Weights $a_i$ are read-source probabilities, not automatically cell abundances; genome length, copy number and extraction efficiency govern the conversion. Bound the genome class and specify plasmid ownership or explicitly leave it unresolved. A minimum-$K$ mixture can merge biological strains with identical read laws; claim recovery only of the minimal observable mixture unless linkage identifies the biological strains.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.