# C946 — Regular allocation formula

## Question

Which two-core allocations preserve the forced regular aggregate?

## Inputs

```json
{
  "H": 2,
  "T": 6,
  "U": 10
}
```

## Sources

```json
[
  "C939",
  "C945"
]
```

## Opened utc

2026-09-28T03:43:14.703926+00:00

## Results

```json
{
  "first_core": "100 + 10t + u",
  "second_core": "100 + 10(6−t) + (10−u)",
  "bounds": "0≤t≤6; 1≤u≤9; integers",
  "status": "algebraic diagnostic, not chronology admission"
}
```

## Finding

The aggregate fixes both hundreds digits and the sums of tens and units, while allowing internal digit allocation. The source-appointed boundary supplies information absent from the two totals.

## Reassessment

Check whether weighted conservation alone forces the same cumulative branch.

## Checks

```json
{
  "entire_parameterization_valid": true,
  "source_recovered": true
}
```

## Closed utc

2026-09-28T03:43:14.704347+00:00

## Record provenance

Exact record hash: `ec809a4c419f2a83b6888cda86cd49986fbde7085eda640d059057703688bf38`

Source journal: `Research_Cycles/C0932_C1131/journal.json`