Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 4°C. We apply continuously 179°C heat to the field 2x2
What is the temperature (rounded to whole numbers) in the field 3x1 after 109 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
Field after 4 iterations (rounded after 4th iteration)
| 5 | 17 | 31 | 24 | 14 | 8 | 4 | 2 | 1 | 1 |
| 17 | 53 | 102 | 64 | 34 | 17 | 9 | 5 | 3 | 1 |
| 31 | 102 | 282 | 114 | 51 | 24 | 12 | 7 | 4 | 2 |
| 24 | 64 | 114 | 75 | 42 | 23 | 13 | 7 | 4 | 2 |
| 14 | 34 | 51 | 42 | 28 | 18 | 11 | 7 | 4 | 2 |
| 8 | 17 | 24 | 23 | 18 | 13 | 9 | 6 | 4 | 2 |
| 4 | 9 | 12 | 13 | 11 | 9 | 7 | 5 | 3 | 2 |
| 2 | 5 | 7 | 7 | 7 | 6 | 5 | 4 | 3 | 1 |
| 1 | 3 | 4 | 4 | 4 | 4 | 3 | 3 | 2 | 1 |
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 0 |
Temperature in field 3x1 after 109 iterations:
