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 167°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 4x4 after 38 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)
| 3 | 5 | 6 | 6 | 7 | 8 | 7 | 6 | 5 | 2 |
| 5 | 8 | 10 | 14 | 18 | 18 | 16 | 13 | 9 | 5 |
| 6 | 10 | 16 | 30 | 45 | 39 | 29 | 20 | 13 | 7 |
| 6 | 14 | 30 | 65 | 111 | 76 | 47 | 29 | 18 | 9 |
| 7 | 18 | 45 | 111 | 279 | 122 | 63 | 36 | 21 | 10 |
| 8 | 18 | 39 | 76 | 122 | 86 | 55 | 35 | 21 | 10 |
| 7 | 16 | 29 | 47 | 63 | 55 | 41 | 29 | 19 | 9 |
| 6 | 13 | 20 | 29 | 36 | 35 | 29 | 23 | 15 | 7 |
| 5 | 9 | 13 | 18 | 21 | 21 | 19 | 15 | 10 | 5 |
| 2 | 5 | 7 | 9 | 10 | 10 | 9 | 7 | 5 | 3 |
Temperature in field 4x4 after 38 iterations:
