Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 187°C heat to the field 3x0
What is the temperature (rounded to whole numbers) in the field 0x4 after 99 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 8 | 28 | 85 | 256 | 89 | 36 | 18 | 10 | 6 | 3 |
| 11 | 30 | 64 | 110 | 71 | 41 | 25 | 16 | 10 | 5 |
| 10 | 23 | 42 | 57 | 48 | 36 | 26 | 19 | 13 | 6 |
| 9 | 18 | 28 | 35 | 34 | 29 | 24 | 19 | 13 | 7 |
| 8 | 15 | 21 | 26 | 26 | 25 | 22 | 19 | 14 | 7 |
| 7 | 13 | 18 | 21 | 22 | 22 | 21 | 18 | 13 | 7 |
| 7 | 12 | 16 | 19 | 20 | 20 | 19 | 17 | 13 | 7 |
| 6 | 11 | 14 | 16 | 17 | 17 | 17 | 15 | 11 | 6 |
| 5 | 8 | 10 | 12 | 13 | 13 | 12 | 11 | 8 | 4 |
| 2 | 4 | 5 | 6 | 7 | 7 | 6 | 5 | 4 | 2 |
Temperature in field 0x4 after 99 iterations:
