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 4x6
What is the temperature (rounded to whole numbers) in the field 0x9 after 113 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 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 1 | 2 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 5 | 8 | 8 | 7 | 5 | 3 | 2 |
| 2 | 3 | 6 | 14 | 22 | 18 | 13 | 8 | 5 | 2 |
| 2 | 4 | 13 | 33 | 60 | 39 | 22 | 13 | 7 | 3 |
| 2 | 7 | 21 | 59 | 158 | 66 | 31 | 16 | 8 | 4 |
| 2 | 6 | 17 | 38 | 65 | 44 | 25 | 14 | 8 | 3 |
| 1 | 4 | 11 | 20 | 29 | 24 | 16 | 10 | 6 | 3 |
| 1 | 2 | 5 | 9 | 12 | 11 | 8 | 5 | 3 | 1 |
Temperature in field 0x9 after 113 iterations:
