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 92°C heat to the field 3x5
What is the temperature (rounded to whole numbers) in the field 6x6 after 61 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 | 9 | 12 | 12 | 11 | 10 | 9 | 6 | 3 |
| 4 | 9 | 17 | 26 | 23 | 18 | 14 | 11 | 8 | 4 |
| 5 | 16 | 36 | 62 | 43 | 28 | 19 | 13 | 9 | 4 |
| 8 | 24 | 61 | 154 | 68 | 36 | 22 | 15 | 10 | 5 |
| 7 | 20 | 41 | 67 | 48 | 31 | 21 | 15 | 9 | 5 |
| 6 | 14 | 25 | 34 | 30 | 23 | 17 | 12 | 8 | 4 |
| 4 | 9 | 14 | 18 | 17 | 15 | 12 | 9 | 6 | 3 |
| 2 | 4 | 6 | 8 | 8 | 7 | 6 | 4 | 3 | 1 |
Temperature in field 6x6 after 61 iterations:
