Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 154°C heat to the field 9x9
What is the temperature (rounded to whole numbers) in the field 8x6 after 96 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 8 | 6 | 3 |
| 6 | 10 | 12 | 14 | 15 | 15 | 15 | 13 | 10 | 5 |
| 7 | 12 | 16 | 18 | 19 | 19 | 19 | 17 | 13 | 7 |
| 8 | 14 | 18 | 20 | 21 | 21 | 21 | 19 | 14 | 7 |
| 8 | 15 | 19 | 21 | 22 | 23 | 22 | 20 | 15 | 8 |
| 8 | 15 | 19 | 21 | 23 | 23 | 23 | 21 | 16 | 9 |
| 8 | 15 | 19 | 21 | 22 | 23 | 23 | 20 | 18 | 12 |
| 8 | 13 | 17 | 19 | 20 | 21 | 20 | 22 | 26 | 25 |
| 6 | 10 | 13 | 14 | 15 | 16 | 18 | 26 | 44 | 63 |
| 3 | 5 | 7 | 7 | 8 | 9 | 12 | 25 | 63 | 186 |
Temperature in field 8x6 after 96 iterations:
