Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 2°C. We apply continuously 133°C heat to the field 8x8
What is the temperature (rounded to whole numbers) in the field 7x7 after 59 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 4 | 7 | 5 |
| 1 | 1 | 1 | 2 | 2 | 2 | 5 | 14 | 25 | 16 |
| 1 | 1 | 1 | 2 | 2 | 4 | 14 | 40 | 74 | 39 |
| 0 | 1 | 1 | 1 | 2 | 7 | 25 | 74 | 202 | 68 |
| 0 | 0 | 1 | 1 | 1 | 5 | 16 | 39 | 68 | 34 |
Temperature in field 7x7 after 59 iterations:
