Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 22°C. We apply continuously 99°C heat to the field 8x1
What is the temperature (rounded to whole numbers) in the field 5x7 after 112 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 7 | 7 | 9 | 16 | 32 | 53 | 27 |
| 5 | 9 | 11 | 12 | 13 | 17 | 30 | 65 | 159 | 55 |
| 6 | 11 | 14 | 15 | 17 | 20 | 30 | 49 | 69 | 36 |
| 7 | 12 | 15 | 17 | 19 | 21 | 27 | 34 | 37 | 22 |
| 7 | 13 | 16 | 18 | 20 | 21 | 24 | 26 | 24 | 14 |
| 7 | 13 | 17 | 19 | 20 | 21 | 22 | 22 | 18 | 10 |
| 7 | 13 | 16 | 19 | 20 | 21 | 21 | 19 | 15 | 8 |
| 7 | 11 | 15 | 17 | 18 | 18 | 18 | 16 | 12 | 6 |
| 5 | 9 | 11 | 13 | 13 | 14 | 13 | 12 | 9 | 4 |
| 3 | 4 | 6 | 7 | 7 | 7 | 7 | 6 | 4 | 2 |
Temperature in field 5x7 after 112 iterations:
