Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 22°C. We apply continuously 199°C heat to the field 1x0
What is the temperature (rounded to whole numbers) in the field 0x2 after 81 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
Field after 4 iterations (rounded after 4th iteration)
| 79 | 268 | 94 | 38 | 19 | 12 | 9 | 7 | 5 | 3 |
| 53 | 110 | 73 | 43 | 27 | 19 | 16 | 13 | 9 | 5 |
| 30 | 54 | 48 | 37 | 28 | 22 | 19 | 16 | 12 | 6 |
| 18 | 31 | 33 | 30 | 26 | 23 | 21 | 18 | 13 | 7 |
| 12 | 21 | 25 | 25 | 24 | 23 | 21 | 19 | 14 | 7 |
| 9 | 17 | 21 | 22 | 23 | 22 | 21 | 19 | 14 | 7 |
| 8 | 14 | 18 | 20 | 21 | 21 | 20 | 18 | 14 | 7 |
| 7 | 12 | 15 | 17 | 18 | 19 | 18 | 16 | 12 | 6 |
| 5 | 9 | 11 | 13 | 14 | 14 | 13 | 12 | 8 | 4 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 4 | 2 |
Temperature in field 0x2 after 81 iterations:
