Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 5°C. We apply continuously 94°C heat to the field 4x5
What is the temperature (rounded to whole numbers) in the field 2x7 after 116 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 1 | 2 | 3 | 5 | 7 | 7 | 6 | 5 | 3 | 2 |
| 2 | 3 | 6 | 13 | 21 | 18 | 12 | 8 | 5 | 2 |
| 2 | 4 | 13 | 32 | 57 | 38 | 21 | 12 | 7 | 3 |
| 2 | 7 | 21 | 57 | 151 | 63 | 30 | 15 | 8 | 4 |
| 2 | 6 | 17 | 37 | 63 | 42 | 25 | 14 | 8 | 4 |
| 2 | 5 | 11 | 21 | 29 | 25 | 17 | 11 | 6 | 3 |
| 1 | 3 | 6 | 11 | 14 | 13 | 10 | 7 | 4 | 2 |
| 1 | 2 | 3 | 5 | 6 | 6 | 5 | 4 | 2 | 1 |
Temperature in field 2x7 after 116 iterations:
