Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 3°C. We apply continuously 76°C heat to the field 8x7
What is the temperature (rounded to whole numbers) in the field 5x7 after 77 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 1 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 4 | 5 | 3 |
| 1 | 2 | 2 | 3 | 3 | 3 | 5 | 10 | 15 | 10 |
| 1 | 2 | 2 | 3 | 3 | 4 | 10 | 25 | 44 | 23 |
| 1 | 2 | 2 | 2 | 3 | 6 | 16 | 45 | 118 | 41 |
| 1 | 1 | 2 | 2 | 2 | 5 | 12 | 28 | 46 | 24 |
| 0 | 1 | 1 | 1 | 1 | 3 | 6 | 12 | 17 | 10 |
Temperature in field 5x7 after 77 iterations:
