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 111°C heat to the field 9x6
What is the temperature (rounded to whole numbers) in the field 7x7 after 146 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 | 3 | 4 | 5 |
| 1 | 2 | 3 | 3 | 4 | 4 | 4 | 6 | 12 | 15 |
| 1 | 2 | 3 | 3 | 4 | 4 | 5 | 13 | 31 | 48 |
| 1 | 2 | 3 | 3 | 4 | 4 | 8 | 22 | 57 | 149 |
| 1 | 2 | 3 | 3 | 3 | 4 | 7 | 17 | 34 | 50 |
| 1 | 2 | 2 | 2 | 2 | 3 | 5 | 10 | 17 | 18 |
| 0 | 1 | 1 | 1 | 1 | 2 | 3 | 5 | 7 | 6 |
Temperature in field 7x7 after 146 iterations:
