Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 22°C. We apply continuously 113°C heat to the field 5x5
What is the temperature (rounded to whole numbers) in the field 4x0 after 123 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 7 | 5 | 3 |
| 5 | 9 | 11 | 12 | 13 | 13 | 13 | 12 | 9 | 5 |
| 6 | 11 | 14 | 15 | 18 | 21 | 21 | 17 | 13 | 6 |
| 7 | 12 | 15 | 20 | 29 | 39 | 34 | 26 | 17 | 9 |
| 7 | 13 | 18 | 29 | 53 | 84 | 59 | 38 | 23 | 11 |
| 7 | 13 | 21 | 39 | 84 | 197 | 91 | 49 | 27 | 13 |
| 7 | 13 | 21 | 34 | 59 | 91 | 65 | 42 | 25 | 12 |
| 7 | 12 | 17 | 26 | 38 | 49 | 42 | 31 | 20 | 10 |
| 5 | 9 | 13 | 17 | 23 | 27 | 25 | 20 | 14 | 7 |
| 3 | 5 | 6 | 9 | 11 | 13 | 12 | 10 | 7 | 3 |
Temperature in field 4x0 after 123 iterations:
