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 80°C heat to the field 7x1
What is the temperature (rounded to whole numbers) in the field 4x5 after 53 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 | 14 | 27 | 46 | 27 | 12 |
| 5 | 8 | 10 | 11 | 15 | 26 | 56 | 133 | 55 | 21 |
| 6 | 10 | 13 | 14 | 18 | 26 | 43 | 62 | 41 | 19 |
| 6 | 11 | 14 | 16 | 19 | 24 | 31 | 36 | 28 | 14 |
| 7 | 12 | 15 | 17 | 19 | 22 | 25 | 26 | 20 | 11 |
| 7 | 12 | 15 | 17 | 19 | 20 | 21 | 21 | 16 | 9 |
| 7 | 12 | 15 | 17 | 18 | 19 | 19 | 18 | 14 | 7 |
| 6 | 10 | 13 | 15 | 16 | 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 4x5 after 53 iterations:
