Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 156°C heat to the field 2x1
What is the temperature (rounded to whole numbers) in the field 4x1 after 105 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 14 | 42 | 80 | 48 | 25 | 13 | 7 | 5 | 3 | 1 |
| 28 | 89 | 245 | 99 | 45 | 23 | 13 | 8 | 5 | 3 |
| 22 | 58 | 102 | 68 | 40 | 24 | 15 | 10 | 7 | 3 |
| 14 | 33 | 48 | 41 | 29 | 20 | 15 | 11 | 7 | 4 |
| 9 | 19 | 26 | 25 | 21 | 17 | 13 | 10 | 7 | 4 |
| 6 | 12 | 16 | 17 | 15 | 14 | 12 | 10 | 7 | 4 |
| 4 | 8 | 11 | 12 | 12 | 11 | 11 | 9 | 7 | 3 |
| 3 | 6 | 8 | 9 | 10 | 9 | 9 | 8 | 6 | 3 |
| 2 | 4 | 6 | 6 | 7 | 7 | 6 | 6 | 4 | 2 |
| 1 | 2 | 3 | 3 | 3 | 4 | 3 | 3 | 2 | 1 |
Temperature in field 4x1 after 105 iterations:
