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 97°C heat to the field 5x3
What is the temperature (rounded to whole numbers) in the field 5x9 after 60 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 | 6 | 6 | 8 | 11 | 10 | 8 | 6 | 3 |
| 5 | 8 | 10 | 13 | 21 | 29 | 25 | 18 | 12 | 6 |
| 6 | 10 | 14 | 23 | 43 | 70 | 49 | 31 | 18 | 9 |
| 6 | 11 | 18 | 33 | 71 | 169 | 77 | 41 | 23 | 11 |
| 7 | 12 | 19 | 30 | 52 | 79 | 57 | 37 | 23 | 11 |
| 7 | 12 | 18 | 25 | 36 | 45 | 39 | 30 | 20 | 10 |
| 7 | 12 | 16 | 21 | 26 | 30 | 29 | 24 | 17 | 9 |
| 6 | 11 | 14 | 17 | 20 | 22 | 21 | 18 | 13 | 7 |
| 5 | 8 | 10 | 12 | 14 | 15 | 14 | 12 | 9 | 5 |
| 2 | 4 | 5 | 6 | 7 | 7 | 7 | 6 | 4 | 2 |
Temperature in field 5x9 after 60 iterations:
