Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 16°C. We apply continuously 84°C heat to the field 7x5
What is the temperature (rounded to whole numbers) in the field 6x6 after 88 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 9 | 7 | 4 |
| 5 | 8 | 10 | 11 | 12 | 12 | 13 | 14 | 11 | 6 |
| 5 | 9 | 11 | 13 | 13 | 16 | 22 | 27 | 21 | 11 |
| 5 | 9 | 12 | 13 | 16 | 23 | 39 | 60 | 39 | 18 |
| 5 | 9 | 12 | 14 | 18 | 30 | 62 | 144 | 62 | 25 |
| 5 | 9 | 12 | 14 | 18 | 27 | 44 | 65 | 43 | 20 |
| 5 | 8 | 11 | 12 | 15 | 20 | 28 | 34 | 26 | 13 |
| 4 | 6 | 8 | 9 | 11 | 14 | 17 | 18 | 15 | 8 |
| 2 | 3 | 4 | 5 | 6 | 7 | 8 | 8 | 7 | 4 |
Temperature in field 6x6 after 88 iterations:
