Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 29°C. We apply continuously 71°C heat to the field 0x5
What is the temperature (rounded to whole numbers) in the field 4x4 after 111 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
| 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 | 29 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 9 | 7 | 3 |
| 7 | 12 | 15 | 16 | 17 | 17 | 17 | 15 | 11 | 6 |
| 11 | 17 | 20 | 21 | 22 | 22 | 22 | 19 | 15 | 8 |
| 18 | 24 | 26 | 26 | 26 | 25 | 25 | 22 | 17 | 9 |
| 40 | 37 | 33 | 30 | 28 | 28 | 26 | 24 | 18 | 9 |
| 105 | 55 | 38 | 32 | 30 | 29 | 27 | 24 | 18 | 10 |
| 41 | 39 | 34 | 31 | 29 | 28 | 27 | 24 | 18 | 9 |
| 20 | 26 | 27 | 27 | 26 | 25 | 24 | 21 | 15 | 8 |
| 11 | 16 | 19 | 19 | 19 | 19 | 18 | 15 | 11 | 6 |
| 5 | 8 | 9 | 10 | 10 | 10 | 9 | 8 | 6 | 3 |
Temperature in field 4x4 after 111 iterations:
