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 139°C heat to the field 6x4
What is the temperature (rounded to whole numbers) in the field 4x5 after 45 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 | 2 | 2 | 1 | 1 |
| 1 | 2 | 2 | 2 | 2 | 5 | 8 | 7 | 5 | 3 |
| 1 | 2 | 3 | 3 | 6 | 16 | 28 | 22 | 13 | 6 |
| 1 | 2 | 3 | 5 | 17 | 44 | 82 | 52 | 27 | 12 |
| 1 | 2 | 4 | 9 | 29 | 82 | 221 | 90 | 40 | 16 |
| 1 | 2 | 4 | 9 | 23 | 53 | 90 | 59 | 32 | 14 |
| 1 | 2 | 3 | 7 | 15 | 29 | 41 | 33 | 21 | 10 |
| 1 | 2 | 3 | 5 | 9 | 15 | 20 | 18 | 13 | 6 |
| 1 | 2 | 2 | 3 | 5 | 8 | 10 | 9 | 7 | 4 |
| 0 | 1 | 1 | 2 | 2 | 3 | 4 | 4 | 3 | 2 |
Temperature in field 4x5 after 45 iterations:
