Examples
Examples
Try the starting example
- Groups
- 3
- Rooms to visit per group
- 2
- Minutes in each room
- 20
- Transition between slots (minutes)
- 5
- First slot start (HH:MM)
- 09:00
- Rotation slots
- 3
- Elapsed rotation (minutes)
- 70
- Total group-room visits
- 6
- Room timetable
- Slot 1 09:00: R1: G1, R2: G2; Slot 2 09:25: R1: G3, R2: G1; Slot 3 09:50: R1: G2, R2: G3
Try another scenario
- Groups
- 2
- Rooms to visit per group
- 2
- Minutes in each room
- 10
- Transition between slots (minutes)
- 5
- First slot start (HH:MM)
- 09:00
- Rotation slots
- 2
- Elapsed rotation (minutes)
- 25
- Total group-room visits
- 4
- Room timetable
- Slot 1 09:00: R1: G1, R2: G2; Slot 2 09:15: R1: G2, R2: G1
Calculation method
Calculation method
Rotation slots
Maximum of group count and room count; cyclic idle slots handle surplus groups or rooms.
Elapsed rotation (minutes)
Slots × room minutes + (slots−1) × transition minutes.
Total group-room visits
Every group visits every room exactly once: groups × rooms.
Room timetable
For slot s and room r, assign group (r−s modulo slot count) when that index is a real group; otherwise mark the room empty.
Symbols and units
- a
- Groups
- b
- Rooms to visit per group
- c
- Minutes in each room
- d
- Transition between slots (minutes)
- e
- First slot start (HH:MM)
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
- Cyclic group rotation with one group per room and no group visiting two rooms at once. Idle slots are explicit. It assumes all rooms can host any group and does not infer room capacity, walking distance or accessibility.
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.