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 98°C heat to the field 4x1
What is the temperature (rounded to whole numbers) in the field 4x7 after 52 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 | 3 | 10 | 27 | 50 | 30 | 15 | 8 | 4 | 2 |
| 2 | 6 | 20 | 57 | 154 | 62 | 27 | 13 | 6 | 3 |
| 2 | 6 | 17 | 38 | 64 | 42 | 24 | 13 | 7 | 3 |
| 2 | 5 | 12 | 22 | 30 | 25 | 17 | 11 | 7 | 3 |
| 2 | 4 | 8 | 13 | 16 | 15 | 12 | 9 | 6 | 3 |
| 2 | 4 | 6 | 8 | 10 | 10 | 9 | 7 | 5 | 2 |
| 2 | 3 | 5 | 6 | 7 | 7 | 7 | 5 | 4 | 2 |
| 2 | 3 | 4 | 4 | 5 | 5 | 5 | 4 | 3 | 2 |
| 1 | 2 | 3 | 3 | 3 | 4 | 3 | 3 | 2 | 1 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 1 | 1 | 1 |
Temperature in field 4x7 after 52 iterations:
