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 74°C heat to the field 2x5
What is the temperature (rounded to whole numbers) in the field 6x8 after 54 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)
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 2 | 1 |
| 1 | 3 | 5 | 6 | 5 | 4 | 3 | 3 | 2 | 1 |
| 3 | 9 | 16 | 14 | 9 | 7 | 5 | 4 | 3 | 1 |
| 8 | 24 | 45 | 29 | 17 | 10 | 6 | 4 | 3 | 1 |
| 14 | 44 | 119 | 50 | 24 | 13 | 8 | 5 | 3 | 2 |
| 11 | 28 | 49 | 33 | 20 | 12 | 7 | 5 | 3 | 2 |
| 7 | 15 | 23 | 19 | 13 | 9 | 6 | 4 | 3 | 1 |
| 4 | 8 | 11 | 10 | 8 | 6 | 4 | 3 | 2 | 1 |
| 2 | 3 | 4 | 5 | 4 | 3 | 2 | 2 | 1 | 1 |
Temperature in field 6x8 after 54 iterations:
