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 134°C heat to the field 6x6
What is the temperature (rounded to whole numbers) in the field 4x5 after 103 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 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 3 | 5 | 6 | 7 | 7 | 8 | 8 | 7 | 6 | 3 |
| 3 | 6 | 7 | 8 | 8 | 11 | 14 | 13 | 9 | 5 |
| 3 | 6 | 7 | 8 | 12 | 22 | 33 | 27 | 17 | 8 |
| 3 | 6 | 8 | 11 | 22 | 48 | 85 | 55 | 30 | 13 |
| 3 | 6 | 8 | 14 | 33 | 85 | 218 | 92 | 42 | 17 |
| 3 | 5 | 7 | 13 | 27 | 55 | 92 | 61 | 34 | 15 |
| 2 | 4 | 6 | 9 | 17 | 30 | 42 | 34 | 21 | 10 |
| 1 | 2 | 3 | 5 | 8 | 13 | 17 | 15 | 10 | 5 |
Temperature in field 4x5 after 103 iterations:
