Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 111°C heat to the field 1x8
What is the temperature (rounded to whole numbers) in the field 4x1 after 61 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
| 3 | 6 | 8 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 9 | 7 | 4 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 7 | 4 |
| 6 | 12 | 13 | 13 | 12 | 12 | 11 | 10 | 8 | 4 |
| 14 | 27 | 24 | 19 | 15 | 13 | 12 | 10 | 7 | 4 |
| 32 | 67 | 46 | 29 | 19 | 14 | 11 | 9 | 7 | 3 |
| 56 | 173 | 72 | 34 | 19 | 13 | 9 | 7 | 5 | 2 |
| 28 | 59 | 38 | 21 | 12 | 7 | 5 | 4 | 3 | 1 |
Temperature in field 4x1 after 61 iterations:
