Examples
Examples
Try the starting example
- Bookings: name, start HH:MM, end HH:MM
- A,10:00,11:00 B,11:15,12:00 C,14:00,15:00
- Setup minutes before each booking
- 15
- Clear-up minutes after each booking
- 15
- Room opening time
- 09:00
- Room closing time
- 17:00
- Booking conflict pairs and overlap minutes
- A/B: 15
- Available room gaps
- 09:00–09:45; 12:15–13:45; 15:15–17:00
- Total available room minutes
- 240
- Bookings extending outside opening hours
- 0
Try another scenario
- Bookings: name, start HH:MM, end HH:MM
- A,10:00,11:00 B,11:15,12:00 C,14:00,15:00
- Setup minutes before each booking
- 0
- Clear-up minutes after each booking
- 0
- Room opening time
- 09:00
- Room closing time
- 17:00
- Booking conflict pairs and overlap minutes
- None
- Available room gaps
- 09:00–10:00; 11:00–11:15; 12:00–14:00; 15:00–17:00
- Total available room minutes
- 315
- Bookings extending outside opening hours
- 0
Calculation method
Calculation method
Booking conflict pairs and overlap minutes
Expand each booking by setup and clear-up, then report pairwise positive overlap durations.
Available room gaps
Clip occupied blocks to opening hours, merge overlapping/touching blocks, and return the complementary gaps.
Total available room minutes
Sum complementary gap durations.
Bookings extending outside opening hours
Count expanded bookings crossing either opening boundary.
Symbols and units
- a
- Bookings: name, start HH:MM, end HH:MM
- b
- Setup minutes before each booking
- c
- Clear-up minutes after each booking
- d
- Room opening time
- e
- Room closing time
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 single-room, single-day interval audit with uniform setup/clear-up buffers. Shared endpoints are allowed after buffers. No bookings are moved or sent, and display clocks round fractional minutes.
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.