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 150°C heat to the field 4x0
What is the temperature (rounded to whole numbers) in the field 8x5 after 122 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)
| 3 | 8 | 24 | 68 | 206 | 72 | 29 | 14 | 7 | 3 |
| 4 | 11 | 25 | 52 | 89 | 57 | 33 | 19 | 11 | 5 |
| 5 | 11 | 21 | 35 | 47 | 39 | 28 | 19 | 12 | 6 |
| 5 | 11 | 17 | 24 | 29 | 28 | 23 | 18 | 12 | 6 |
| 6 | 10 | 15 | 19 | 21 | 21 | 20 | 16 | 12 | 6 |
| 6 | 10 | 13 | 16 | 18 | 18 | 17 | 15 | 11 | 6 |
| 5 | 9 | 12 | 14 | 16 | 16 | 16 | 14 | 10 | 5 |
| 5 | 8 | 11 | 12 | 13 | 14 | 14 | 12 | 9 | 4 |
| 4 | 6 | 8 | 9 | 10 | 10 | 10 | 9 | 6 | 3 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 2 |
Temperature in field 8x5 after 122 iterations:
