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 161°C heat to the field 1x5
What is the temperature (rounded to whole numbers) in the field 4x1 after 82 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 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 1 |
| 4 | 8 | 9 | 7 | 5 | 4 | 3 | 3 | 2 | 1 |
| 15 | 31 | 25 | 16 | 10 | 7 | 5 | 4 | 3 | 1 |
| 42 | 91 | 59 | 32 | 17 | 10 | 6 | 4 | 3 | 1 |
| 81 | 250 | 102 | 46 | 23 | 12 | 7 | 5 | 3 | 2 |
| 48 | 99 | 66 | 38 | 21 | 12 | 7 | 5 | 3 | 2 |
| 24 | 42 | 36 | 25 | 16 | 10 | 6 | 4 | 3 | 1 |
| 11 | 19 | 18 | 14 | 10 | 7 | 5 | 3 | 2 | 1 |
| 4 | 7 | 8 | 7 | 5 | 4 | 2 | 2 | 1 | 1 |
Temperature in field 4x1 after 82 iterations:
