Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 5°C. We apply continuously 145°C heat to the field 9x4
What is the temperature (rounded to whole numbers) in the field 0x5 after 42 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 4 | 5 |
| 1 | 2 | 3 | 4 | 4 | 4 | 4 | 7 | 15 | 20 |
| 2 | 3 | 4 | 4 | 4 | 4 | 6 | 17 | 40 | 63 |
| 2 | 3 | 4 | 4 | 4 | 5 | 10 | 28 | 75 | 195 |
| 2 | 3 | 4 | 4 | 5 | 5 | 10 | 23 | 45 | 66 |
| 2 | 3 | 4 | 4 | 4 | 5 | 8 | 15 | 23 | 25 |
| 2 | 3 | 3 | 4 | 4 | 4 | 6 | 9 | 12 | 10 |
| 1 | 2 | 3 | 3 | 3 | 3 | 4 | 5 | 6 | 4 |
| 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 |
Temperature in field 0x5 after 42 iterations:
