Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 4°C. We apply continuously 73°C heat to the field 8x6
What is the temperature (rounded to whole numbers) in the field 5x6 after 40 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 4 | 5 | 4 |
| 1 | 2 | 3 | 3 | 4 | 4 | 5 | 10 | 15 | 10 |
| 1 | 2 | 3 | 3 | 4 | 5 | 11 | 25 | 43 | 23 |
| 1 | 2 | 3 | 3 | 4 | 7 | 17 | 44 | 115 | 40 |
| 1 | 2 | 3 | 3 | 4 | 6 | 13 | 28 | 46 | 24 |
| 1 | 2 | 2 | 2 | 3 | 4 | 8 | 15 | 20 | 12 |
| 0 | 1 | 1 | 1 | 1 | 2 | 4 | 6 | 8 | 5 |
Temperature in field 5x6 after 40 iterations:
