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 67°C heat to the field 1x0
What is the temperature (rounded to whole numbers) in the field 7x5 after 115 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)
| 27 | 92 | 33 | 15 | 8 | 6 | 5 | 4 | 3 | 2 |
| 19 | 39 | 27 | 18 | 12 | 10 | 8 | 7 | 5 | 3 |
| 12 | 21 | 20 | 16 | 14 | 12 | 11 | 9 | 7 | 3 |
| 8 | 13 | 15 | 14 | 13 | 13 | 12 | 10 | 8 | 4 |
| 6 | 10 | 12 | 13 | 13 | 13 | 12 | 11 | 8 | 4 |
| 5 | 9 | 11 | 12 | 13 | 13 | 12 | 11 | 8 | 4 |
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 11 | 8 | 4 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 9 | 7 | 3 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 2 |
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 1 |
Temperature in field 7x5 after 115 iterations:
