Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 13°C. We apply continuously 174°C heat to the field 5x5
What is the temperature (rounded to whole numbers) in the field 5x5 after 110 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 2 |
| 3 | 5 | 6 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 4 | 6 | 8 | 9 | 12 | 17 | 16 | 13 | 9 | 4 |
| 4 | 7 | 9 | 14 | 28 | 42 | 35 | 24 | 15 | 7 |
| 4 | 8 | 12 | 28 | 62 | 110 | 73 | 42 | 23 | 10 |
| 4 | 8 | 17 | 42 | 110 | 284 | 120 | 58 | 29 | 12 |
| 4 | 8 | 16 | 35 | 73 | 120 | 82 | 48 | 27 | 12 |
| 4 | 7 | 13 | 24 | 42 | 58 | 48 | 33 | 20 | 10 |
| 3 | 5 | 9 | 15 | 23 | 29 | 27 | 20 | 13 | 6 |
| 2 | 3 | 4 | 7 | 10 | 12 | 12 | 10 | 6 | 3 |
Temperature in field 5x5 after 110 iterations:
