Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 3°C. We apply continuously 196°C heat to the field 5x5
What is the temperature (rounded to whole numbers) in the field 8x6 after 97 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 1 | 2 | 2 | 3 | 3 | 2 | 2 | 1 |
| 1 | 1 | 2 | 2 | 5 | 10 | 10 | 7 | 4 | 2 |
| 1 | 2 | 2 | 7 | 21 | 38 | 30 | 18 | 10 | 4 |
| 1 | 2 | 5 | 21 | 60 | 113 | 72 | 38 | 18 | 8 |
| 1 | 3 | 10 | 38 | 113 | 309 | 125 | 55 | 25 | 10 |
| 1 | 3 | 10 | 30 | 72 | 125 | 82 | 45 | 23 | 10 |
| 1 | 2 | 7 | 18 | 38 | 55 | 45 | 29 | 17 | 8 |
| 1 | 2 | 4 | 10 | 18 | 25 | 23 | 17 | 10 | 5 |
| 0 | 1 | 2 | 4 | 8 | 10 | 10 | 8 | 5 | 2 |
Temperature in field 8x6 after 97 iterations:
