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 118°C heat to the field 6x7
What is the temperature (rounded to whole numbers) in the field 2x1 after 70 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 | 4 | 4 | 3 | 1 |
| 1 | 2 | 3 | 3 | 4 | 5 | 8 | 8 | 5 | 3 |
| 1 | 2 | 3 | 3 | 6 | 15 | 25 | 20 | 12 | 6 |
| 1 | 2 | 3 | 5 | 15 | 38 | 70 | 45 | 24 | 10 |
| 1 | 2 | 3 | 8 | 24 | 70 | 188 | 76 | 33 | 13 |
| 1 | 2 | 3 | 7 | 19 | 43 | 75 | 48 | 26 | 11 |
| 0 | 1 | 1 | 4 | 10 | 20 | 29 | 22 | 13 | 6 |
Temperature in field 2x1 after 70 iterations:
