Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 39°C. We apply continuously 112°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 5x1 after 84 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
Field after 4 iterations (rounded after 4th iteration)
| 5 | 9 | 11 | 12 | 13 | 14 | 13 | 12 | 9 | 5 |
| 9 | 15 | 19 | 23 | 27 | 27 | 25 | 22 | 16 | 8 |
| 11 | 19 | 27 | 38 | 49 | 45 | 38 | 31 | 22 | 11 |
| 12 | 23 | 38 | 64 | 96 | 73 | 53 | 39 | 27 | 13 |
| 13 | 27 | 49 | 96 | 210 | 105 | 65 | 45 | 30 | 15 |
| 14 | 27 | 45 | 73 | 105 | 82 | 60 | 44 | 30 | 15 |
| 13 | 25 | 38 | 53 | 65 | 60 | 51 | 40 | 28 | 14 |
| 12 | 22 | 31 | 39 | 45 | 44 | 40 | 33 | 24 | 12 |
| 9 | 16 | 22 | 27 | 30 | 30 | 28 | 24 | 17 | 8 |
| 5 | 8 | 11 | 13 | 15 | 15 | 14 | 12 | 8 | 4 |
Temperature in field 5x1 after 84 iterations:
