Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 36°C. We apply continuously 138°C heat to the field 8x8
What is the temperature (rounded to whole numbers) in the field 3x3 after 64 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
| 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
Field after 4 iterations (rounded after 4th iteration)
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 11 | 8 | 4 |
| 8 | 14 | 18 | 20 | 21 | 21 | 21 | 19 | 14 | 7 |
| 10 | 18 | 23 | 25 | 27 | 27 | 27 | 24 | 18 | 9 |
| 11 | 20 | 25 | 28 | 30 | 31 | 30 | 27 | 21 | 11 |
| 12 | 21 | 27 | 30 | 32 | 33 | 32 | 29 | 22 | 12 |
| 12 | 21 | 27 | 31 | 33 | 34 | 33 | 32 | 28 | 16 |
| 12 | 21 | 27 | 30 | 32 | 33 | 36 | 42 | 46 | 27 |
| 11 | 19 | 24 | 27 | 29 | 32 | 42 | 66 | 94 | 49 |
| 8 | 14 | 18 | 21 | 22 | 28 | 46 | 94 | 223 | 77 |
| 4 | 7 | 9 | 11 | 12 | 16 | 27 | 49 | 77 | 39 |
Temperature in field 3x3 after 64 iterations:
