Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 84°C heat to the field 8x6
What is the temperature (rounded to whole numbers) in the field 6x5 after 137 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
| 3 | 6 | 8 | 8 | 9 | 9 | 9 | 8 | 6 | 4 |
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 10 | 10 | 6 |
| 4 | 7 | 9 | 10 | 11 | 11 | 13 | 18 | 22 | 14 |
| 4 | 7 | 9 | 10 | 11 | 13 | 19 | 34 | 54 | 28 |
| 4 | 7 | 9 | 10 | 11 | 14 | 26 | 57 | 137 | 48 |
| 4 | 6 | 8 | 9 | 10 | 13 | 22 | 38 | 57 | 30 |
| 3 | 5 | 6 | 7 | 8 | 10 | 14 | 21 | 25 | 15 |
| 1 | 2 | 3 | 4 | 4 | 5 | 7 | 9 | 10 | 6 |
Temperature in field 6x5 after 137 iterations:
