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 178°C heat to the field 6x1
What is the temperature (rounded to whole numbers) in the field 8x5 after 48 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 | 4 | 17 | 47 | 90 | 53 | 25 | 10 |
| 1 | 2 | 3 | 9 | 34 | 100 | 276 | 109 | 46 | 17 |
| 1 | 2 | 3 | 10 | 28 | 65 | 112 | 72 | 39 | 17 |
| 1 | 2 | 3 | 8 | 18 | 35 | 51 | 41 | 26 | 12 |
| 1 | 2 | 3 | 6 | 11 | 19 | 25 | 22 | 16 | 8 |
| 1 | 2 | 3 | 5 | 7 | 11 | 13 | 12 | 9 | 5 |
| 1 | 2 | 3 | 4 | 5 | 7 | 8 | 7 | 6 | 3 |
| 1 | 2 | 3 | 3 | 4 | 5 | 5 | 5 | 4 | 2 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | 2 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 |
Temperature in field 8x5 after 48 iterations:
