Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 9°C. We apply continuously 84°C heat to the field 5x3
What is the temperature (rounded to whole numbers) in the field 8x9 after 77 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 4 | 6 | 6 | 5 | 3 | 2 |
| 2 | 4 | 4 | 7 | 13 | 20 | 17 | 12 | 7 | 3 |
| 3 | 4 | 7 | 14 | 31 | 54 | 36 | 21 | 12 | 5 |
| 3 | 5 | 10 | 22 | 55 | 139 | 60 | 29 | 15 | 7 |
| 3 | 6 | 10 | 19 | 38 | 61 | 42 | 25 | 15 | 7 |
| 3 | 6 | 9 | 15 | 23 | 31 | 27 | 19 | 12 | 6 |
| 3 | 5 | 8 | 11 | 15 | 18 | 17 | 14 | 9 | 5 |
| 3 | 5 | 7 | 8 | 10 | 12 | 12 | 10 | 7 | 4 |
| 2 | 4 | 5 | 6 | 7 | 8 | 7 | 6 | 5 | 2 |
| 1 | 2 | 2 | 3 | 3 | 4 | 4 | 3 | 2 | 1 |
Temperature in field 8x9 after 77 iterations:
