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 160°C heat to the field 1x0
What is the temperature (rounded to whole numbers) in the field 3x5 after 56 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)
| 64 | 216 | 76 | 31 | 16 | 10 | 8 | 7 | 5 | 2 |
| 43 | 90 | 59 | 36 | 23 | 17 | 14 | 11 | 8 | 4 |
| 25 | 44 | 40 | 31 | 24 | 20 | 17 | 14 | 11 | 5 |
| 15 | 26 | 28 | 26 | 23 | 21 | 19 | 16 | 12 | 6 |
| 10 | 18 | 22 | 22 | 21 | 20 | 19 | 17 | 12 | 7 |
| 8 | 15 | 18 | 20 | 20 | 20 | 19 | 17 | 13 | 7 |
| 7 | 13 | 16 | 18 | 19 | 19 | 19 | 16 | 12 | 6 |
| 6 | 11 | 14 | 16 | 17 | 17 | 16 | 14 | 11 | 5 |
| 5 | 8 | 10 | 12 | 12 | 13 | 12 | 11 | 8 | 4 |
| 2 | 4 | 5 | 6 | 6 | 7 | 6 | 5 | 4 | 2 |
Temperature in field 3x5 after 56 iterations:
