Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 74°C heat to the field 0x2
What is the temperature (rounded to whole numbers) in the field 0x2 after 116 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 12 | 12 | 10 | 9 | 8 | 7 | 7 | 6 | 5 | 2 |
| 36 | 29 | 21 | 16 | 14 | 13 | 12 | 11 | 8 | 4 |
| 105 | 49 | 30 | 22 | 18 | 17 | 16 | 14 | 10 | 5 |
| 39 | 34 | 27 | 23 | 20 | 19 | 18 | 15 | 12 | 6 |
| 18 | 23 | 23 | 22 | 20 | 20 | 19 | 16 | 12 | 6 |
| 11 | 17 | 20 | 20 | 20 | 20 | 19 | 17 | 13 | 7 |
| 8 | 14 | 17 | 18 | 19 | 19 | 18 | 16 | 12 | 6 |
| 7 | 11 | 14 | 16 | 17 | 17 | 16 | 14 | 11 | 5 |
| 5 | 8 | 11 | 12 | 12 | 13 | 12 | 11 | 8 | 4 |
| 2 | 4 | 5 | 6 | 7 | 7 | 6 | 5 | 4 | 2 |
Temperature in field 0x2 after 116 iterations:
