Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 95°C heat to the field 2x1
What is the temperature (rounded to whole numbers) in the field 8x8 after 42 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 11 | 30 | 54 | 36 | 22 | 14 | 11 | 9 | 6 | 3 |
| 21 | 62 | 158 | 71 | 38 | 25 | 19 | 15 | 11 | 5 |
| 19 | 45 | 74 | 55 | 38 | 29 | 23 | 19 | 13 | 7 |
| 15 | 30 | 43 | 40 | 34 | 29 | 25 | 21 | 15 | 8 |
| 12 | 22 | 30 | 31 | 30 | 27 | 25 | 22 | 16 | 8 |
| 10 | 18 | 24 | 26 | 27 | 26 | 25 | 22 | 16 | 8 |
| 9 | 16 | 21 | 23 | 24 | 24 | 24 | 21 | 15 | 8 |
| 8 | 14 | 18 | 20 | 21 | 21 | 21 | 18 | 13 | 7 |
| 6 | 10 | 13 | 15 | 16 | 16 | 15 | 13 | 10 | 5 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 2 |
Temperature in field 8x8 after 42 iterations:
