Examples
Examples
Try the starting example
- Items: name, user-approved compatible group, dry mass kg
- Towels,hot,3 Sheets,hot,3 Shirts,cool,2 Socks,cool,1
- Supplied dry-load capacity per wash (kg)
- 5
- Wash loads required
- 3
- Load groups, item allocation and mass (kg)
- Load 1 (hot): Towels = 3; Load 2 (hot): Sheets = 3; Load 3 (cool): Shirts + Socks = 3
- Total dry item mass (kg)
- 9
- Unused load capacity (kg)
- 6
Try another scenario
- Items: name, user-approved compatible group, dry mass kg
- Towels,hot,3 Sheets,hot,3 Shirts,cool,2 Socks,cool,1
- Supplied dry-load capacity per wash (kg)
- 6
- Wash loads required
- 2
- Load groups, item allocation and mass (kg)
- Load 1 (hot): Towels + Sheets = 6; Load 2 (cool): Shirts + Socks = 3
- Total dry item mass (kg)
- 9
- Unused load capacity (kg)
- 3
Calculation method
Calculation method
Wash loads required
Sort items by descending mass and first-fit each into an existing same-group load; otherwise open another load.
Load groups, item allocation and mass (kg)
Keep incompatible supplied group labels separate and whole items unsplit.
Total dry item mass (kg)
Sum all item masses.
Unused load capacity (kg)
Load count × supplied per-load capacity − total item mass.
Symbols and units
- a
- Items: name, user-approved compatible group, dry mass kg
- b
- Supplied dry-load capacity per wash (kg)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- A first-fit-decreasing packing proposal using compatibility groups and capacity supplied by you. It does not read care labels, choose wash settings or prove a minimum number of loads.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.