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 78°C heat to the field 9x2
What is the temperature (rounded to whole numbers) in the field 1x5 after 123 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 | 3 | 7 | 10 |
| 1 | 2 | 2 | 2 | 2 | 2 | 4 | 9 | 21 | 34 |
| 1 | 2 | 3 | 3 | 3 | 3 | 6 | 16 | 41 | 105 |
| 1 | 2 | 3 | 3 | 3 | 4 | 6 | 13 | 25 | 36 |
| 1 | 2 | 3 | 3 | 4 | 4 | 5 | 9 | 13 | 14 |
| 1 | 2 | 3 | 3 | 4 | 4 | 5 | 6 | 7 | 6 |
| 1 | 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 |
| 1 | 2 | 2 | 2 | 2 | 3 | 3 | 2 | 2 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
Temperature in field 1x5 after 123 iterations:
