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 185°C heat to the field 7x9
What is the temperature (rounded to whole numbers) in the field 5x6 after 98 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 | 3 | 3 | 1 |
| 2 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 4 | 4 | 5 | 4 | 4 | 3 | 2 |
| 2 | 3 | 4 | 4 | 5 | 5 | 5 | 5 | 4 | 2 |
| 2 | 3 | 4 | 4 | 4 | 5 | 7 | 11 | 10 | 6 |
| 2 | 3 | 3 | 4 | 4 | 8 | 21 | 35 | 26 | 13 |
| 1 | 2 | 3 | 3 | 6 | 19 | 50 | 94 | 55 | 23 |
| 1 | 1 | 1 | 2 | 7 | 25 | 80 | 248 | 82 | 26 |
Temperature in field 5x6 after 98 iterations:
