Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 8°C. We apply continuously 117°C heat to the field 8x2
What is the temperature (rounded to whole numbers) in the field 6x1 after 55 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 3 | 3 | 3 | 5 | 13 | 21 | 13 |
| 2 | 3 | 4 | 4 | 5 | 7 | 16 | 38 | 67 | 35 |
| 2 | 4 | 5 | 6 | 6 | 11 | 27 | 71 | 184 | 64 |
| 3 | 4 | 6 | 6 | 7 | 11 | 23 | 47 | 75 | 39 |
| 3 | 5 | 6 | 7 | 8 | 10 | 17 | 27 | 34 | 21 |
| 3 | 5 | 6 | 7 | 8 | 9 | 12 | 16 | 18 | 11 |
| 3 | 5 | 6 | 7 | 7 | 8 | 10 | 11 | 10 | 6 |
| 2 | 4 | 5 | 6 | 7 | 7 | 7 | 8 | 6 | 4 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 6x1 after 55 iterations:
