Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 7°C. We apply continuously 67°C heat to the field 9x8
What is the temperature (rounded to whole numbers) in the field 4x2 after 77 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 6 | 4 | 3 |
| 2 | 4 | 5 | 6 | 6 | 7 | 6 | 6 | 5 | 4 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 7 | 10 | 11 |
| 2 | 4 | 5 | 5 | 6 | 6 | 7 | 11 | 21 | 30 |
| 2 | 3 | 4 | 4 | 4 | 5 | 7 | 15 | 35 | 90 |
| 1 | 1 | 2 | 2 | 2 | 3 | 4 | 9 | 18 | 27 |
Temperature in field 4x2 after 77 iterations:
