Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 78°C heat to the field 6x2
What is the temperature (rounded to whole numbers) in the field 3x6 after 61 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 5 | 10 | 16 | 13 | 8 | 4 |
| 2 | 4 | 5 | 7 | 13 | 29 | 49 | 32 | 18 | 8 |
| 3 | 5 | 7 | 10 | 21 | 51 | 129 | 55 | 26 | 11 |
| 3 | 6 | 7 | 11 | 19 | 36 | 57 | 39 | 22 | 10 |
| 3 | 6 | 8 | 10 | 15 | 23 | 30 | 25 | 17 | 8 |
| 3 | 6 | 8 | 10 | 12 | 16 | 19 | 17 | 12 | 6 |
| 3 | 6 | 8 | 9 | 10 | 12 | 13 | 12 | 9 | 5 |
| 3 | 5 | 7 | 8 | 9 | 10 | 10 | 9 | 7 | 4 |
| 2 | 4 | 5 | 6 | 6 | 7 | 7 | 6 | 4 | 2 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
Temperature in field 3x6 after 61 iterations:
