Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 8°C. We apply continuously 105°C heat to the field 6x1
What is the temperature (rounded to whole numbers) in the field 2x7 after 110 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 4 | 12 | 29 | 55 | 33 | 16 | 7 |
| 2 | 3 | 4 | 9 | 23 | 62 | 166 | 67 | 29 | 11 |
| 2 | 4 | 6 | 10 | 21 | 43 | 70 | 46 | 26 | 11 |
| 3 | 4 | 6 | 9 | 15 | 26 | 35 | 28 | 18 | 9 |
| 3 | 5 | 6 | 8 | 12 | 16 | 20 | 18 | 13 | 7 |
| 3 | 5 | 6 | 8 | 9 | 12 | 13 | 12 | 9 | 5 |
| 3 | 5 | 6 | 7 | 8 | 9 | 10 | 9 | 7 | 4 |
| 2 | 4 | 5 | 6 | 7 | 7 | 8 | 7 | 5 | 3 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 2x7 after 110 iterations:
