Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 13°C. We apply continuously 125°C heat to the field 6x4
What is the temperature (rounded to whole numbers) in the field 6x9 after 82 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 4 | 4 | 4 | 4 | 5 | 5 | 3 | 2 |
| 3 | 5 | 6 | 7 | 8 | 10 | 13 | 11 | 8 | 4 |
| 4 | 6 | 8 | 9 | 13 | 22 | 32 | 26 | 17 | 8 |
| 4 | 7 | 9 | 12 | 23 | 48 | 81 | 54 | 30 | 13 |
| 4 | 8 | 10 | 16 | 34 | 82 | 207 | 88 | 41 | 17 |
| 4 | 8 | 10 | 16 | 29 | 56 | 90 | 61 | 35 | 16 |
| 4 | 8 | 10 | 14 | 22 | 35 | 45 | 38 | 25 | 12 |
| 4 | 7 | 9 | 12 | 16 | 21 | 26 | 23 | 16 | 8 |
| 3 | 5 | 7 | 8 | 10 | 13 | 14 | 13 | 10 | 5 |
| 2 | 3 | 3 | 4 | 5 | 6 | 7 | 6 | 5 | 2 |
Temperature in field 6x9 after 82 iterations:
