Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 18°C. We apply continuously 82°C heat to the field 3x4
What is the temperature (rounded to whole numbers) in the field 4x0 after 82 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 4 | 5 | 6 | 6 | 6 | 6 | 6 | 4 | 2 |
| 4 | 7 | 10 | 13 | 14 | 13 | 12 | 10 | 7 | 4 |
| 5 | 11 | 19 | 27 | 25 | 20 | 17 | 14 | 10 | 5 |
| 7 | 18 | 37 | 60 | 44 | 30 | 22 | 17 | 12 | 6 |
| 9 | 25 | 60 | 143 | 67 | 39 | 26 | 19 | 13 | 6 |
| 9 | 22 | 43 | 67 | 49 | 35 | 26 | 19 | 13 | 7 |
| 8 | 17 | 28 | 37 | 34 | 28 | 23 | 18 | 13 | 6 |
| 6 | 13 | 19 | 23 | 23 | 21 | 19 | 15 | 11 | 5 |
| 5 | 9 | 12 | 15 | 15 | 15 | 13 | 11 | 8 | 4 |
| 2 | 4 | 6 | 7 | 8 | 7 | 7 | 5 | 4 | 2 |
Temperature in field 4x0 after 82 iterations:
