Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 2°C. We apply continuously 137°C heat to the field 4x8
What is the temperature (rounded to whole numbers) in the field 2x4 after 46 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 1 | 2 | 4 | 7 | 7 | 5 | 3 | 2 | 1 |
| 1 | 1 | 5 | 15 | 26 | 21 | 13 | 7 | 4 | 2 |
| 1 | 3 | 14 | 41 | 78 | 49 | 26 | 13 | 6 | 2 |
| 1 | 6 | 25 | 76 | 212 | 83 | 36 | 16 | 7 | 3 |
| 1 | 5 | 16 | 40 | 73 | 44 | 22 | 10 | 5 | 2 |
Temperature in field 2x4 after 46 iterations:
