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 109°C heat to the field 7x6
What is the temperature (rounded to whole numbers) in the field 0x2 after 87 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 | 3 | 1 |
| 1 | 2 | 3 | 3 | 3 | 3 | 5 | 7 | 6 | 4 |
| 1 | 2 | 3 | 3 | 4 | 6 | 14 | 23 | 18 | 9 |
| 1 | 2 | 3 | 3 | 5 | 14 | 36 | 65 | 40 | 18 |
| 1 | 2 | 3 | 4 | 8 | 23 | 65 | 173 | 69 | 26 |
| 1 | 2 | 3 | 4 | 7 | 19 | 42 | 71 | 45 | 21 |
| 1 | 2 | 2 | 3 | 5 | 11 | 22 | 31 | 24 | 12 |
| 0 | 1 | 1 | 1 | 3 | 5 | 9 | 12 | 10 | 6 |
Temperature in field 0x2 after 87 iterations:
