Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 17°C. We apply continuously 168°C heat to the field 8x9
What is the temperature (rounded to whole numbers) in the field 4x7 after 100 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 5 | 6 | 6 | 6 | 5 | 4 | 2 |
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 9 | 7 | 3 |
| 5 | 8 | 11 | 12 | 13 | 13 | 13 | 11 | 9 | 4 |
| 5 | 9 | 12 | 13 | 14 | 15 | 14 | 13 | 10 | 5 |
| 6 | 10 | 13 | 14 | 15 | 16 | 15 | 14 | 10 | 5 |
| 6 | 10 | 13 | 15 | 16 | 16 | 16 | 14 | 11 | 6 |
| 6 | 10 | 13 | 14 | 15 | 16 | 15 | 16 | 17 | 11 |
| 5 | 9 | 11 | 13 | 14 | 14 | 18 | 27 | 36 | 22 |
| 4 | 7 | 9 | 10 | 10 | 13 | 25 | 51 | 88 | 44 |
| 2 | 3 | 4 | 5 | 6 | 11 | 27 | 75 | 225 | 67 |
Temperature in field 4x7 after 100 iterations:
