Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 26°C. We apply continuously 81°C heat to the field 6x4
What is the temperature (rounded to whole numbers) in the field 2x2 after 78 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
| 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 6 | 8 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 6 | 10 | 13 | 14 | 15 | 17 | 18 | 17 | 12 | 6 |
| 8 | 13 | 16 | 18 | 21 | 27 | 34 | 29 | 20 | 10 |
| 8 | 14 | 18 | 22 | 30 | 46 | 68 | 48 | 29 | 14 |
| 9 | 15 | 20 | 25 | 38 | 69 | 150 | 71 | 37 | 17 |
| 9 | 15 | 20 | 25 | 35 | 53 | 74 | 54 | 34 | 16 |
| 9 | 15 | 20 | 24 | 30 | 39 | 45 | 39 | 27 | 13 |
| 8 | 14 | 18 | 21 | 24 | 28 | 31 | 27 | 20 | 10 |
| 6 | 10 | 13 | 15 | 17 | 19 | 20 | 18 | 13 | 7 |
| 3 | 5 | 7 | 8 | 9 | 10 | 10 | 9 | 6 | 3 |
Temperature in field 2x2 after 78 iterations:
