Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 168°C heat to the field 4x0
What is the temperature (rounded to whole numbers) in the field 1x5 after 125 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 10 | 27 | 77 | 231 | 81 | 33 | 16 | 8 | 4 |
| 5 | 13 | 29 | 60 | 101 | 65 | 38 | 23 | 13 | 6 |
| 6 | 14 | 25 | 40 | 54 | 45 | 33 | 23 | 15 | 7 |
| 7 | 13 | 20 | 29 | 34 | 33 | 28 | 22 | 15 | 8 |
| 7 | 13 | 18 | 23 | 26 | 26 | 24 | 20 | 14 | 7 |
| 7 | 12 | 17 | 20 | 22 | 22 | 21 | 19 | 14 | 7 |
| 7 | 12 | 15 | 18 | 19 | 20 | 20 | 17 | 13 | 7 |
| 6 | 11 | 14 | 16 | 17 | 17 | 17 | 15 | 11 | 6 |
| 5 | 8 | 10 | 12 | 12 | 13 | 12 | 11 | 8 | 4 |
| 2 | 4 | 5 | 6 | 7 | 7 | 6 | 5 | 4 | 2 |
Temperature in field 1x5 after 125 iterations:
