Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 102°C heat to the field 8x1
What is the temperature (rounded to whole numbers) in the field 3x3 after 113 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 5 | 12 | 29 | 52 | 26 |
| 2 | 4 | 5 | 6 | 6 | 10 | 24 | 61 | 158 | 54 |
| 3 | 5 | 6 | 7 | 8 | 11 | 22 | 42 | 65 | 34 |
| 3 | 6 | 7 | 8 | 9 | 11 | 17 | 25 | 31 | 19 |
| 3 | 6 | 7 | 8 | 9 | 10 | 13 | 16 | 17 | 11 |
| 3 | 6 | 8 | 9 | 9 | 10 | 11 | 12 | 11 | 7 |
| 3 | 6 | 7 | 8 | 9 | 10 | 10 | 10 | 8 | 5 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 8 | 6 | 3 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 6 | 4 | 2 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
Temperature in field 3x3 after 113 iterations:
