Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 1°C. We apply continuously 75°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 4x1 after 52 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 0 | 1 | 1 | 1 | 2 | 4 | 4 | 3 | 2 | 1 |
| 0 | 1 | 1 | 3 | 8 | 14 | 11 | 7 | 4 | 2 |
| 0 | 1 | 2 | 8 | 23 | 43 | 27 | 14 | 7 | 3 |
| 0 | 1 | 4 | 14 | 43 | 118 | 47 | 21 | 9 | 4 |
| 0 | 1 | 3 | 11 | 27 | 47 | 30 | 16 | 8 | 3 |
| 0 | 0 | 2 | 6 | 12 | 18 | 14 | 8 | 5 | 2 |
Temperature in field 4x1 after 52 iterations:
