Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 15°C. We apply continuously 122°C heat to the field 6x2
What is the temperature (rounded to whole numbers) in the field 8x8 after 118 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 4 | 5 | 8 | 16 | 25 | 20 | 12 | 6 |
| 4 | 6 | 7 | 10 | 20 | 44 | 77 | 50 | 27 | 12 |
| 4 | 7 | 10 | 15 | 33 | 80 | 202 | 86 | 40 | 17 |
| 5 | 8 | 11 | 16 | 30 | 56 | 89 | 60 | 35 | 16 |
| 5 | 9 | 12 | 16 | 23 | 36 | 46 | 39 | 26 | 13 |
| 5 | 9 | 12 | 15 | 19 | 24 | 28 | 26 | 19 | 10 |
| 5 | 9 | 11 | 13 | 16 | 18 | 20 | 18 | 14 | 7 |
| 5 | 8 | 10 | 12 | 13 | 14 | 15 | 14 | 10 | 5 |
| 3 | 6 | 8 | 9 | 10 | 10 | 10 | 9 | 7 | 4 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
Temperature in field 8x8 after 118 iterations:
