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 165°C heat to the field 5x0
What is the temperature (rounded to whole numbers) in the field 2x3 after 50 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 | 5 | 11 | 27 | 76 | 227 | 80 | 32 | 14 | 6 |
| 5 | 9 | 15 | 30 | 60 | 99 | 64 | 36 | 20 | 9 |
| 6 | 11 | 16 | 26 | 41 | 53 | 44 | 31 | 20 | 9 |
| 6 | 11 | 16 | 22 | 29 | 34 | 32 | 26 | 18 | 9 |
| 7 | 12 | 16 | 20 | 23 | 26 | 25 | 22 | 16 | 8 |
| 7 | 12 | 16 | 18 | 21 | 22 | 22 | 19 | 15 | 8 |
| 7 | 12 | 15 | 17 | 19 | 20 | 20 | 18 | 13 | 7 |
| 6 | 10 | 13 | 15 | 17 | 17 | 17 | 15 | 11 | 6 |
| 5 | 8 | 10 | 11 | 12 | 13 | 12 | 11 | 8 | 4 |
| 2 | 4 | 5 | 6 | 6 | 7 | 6 | 5 | 4 | 2 |
Temperature in field 2x3 after 50 iterations:
