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 78°C heat to the field 1x3
What is the temperature (rounded to whole numbers) in the field 9x6 after 105 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)
| 5 | 9 | 10 | 10 | 9 | 9 | 9 | 8 | 6 | 3 |
| 13 | 24 | 23 | 20 | 18 | 16 | 15 | 13 | 10 | 5 |
| 27 | 55 | 43 | 32 | 25 | 22 | 20 | 17 | 13 | 7 |
| 47 | 134 | 66 | 41 | 30 | 26 | 23 | 20 | 15 | 8 |
| 31 | 61 | 49 | 38 | 31 | 27 | 24 | 21 | 16 | 8 |
| 19 | 34 | 35 | 32 | 29 | 27 | 25 | 21 | 16 | 8 |
| 13 | 23 | 27 | 27 | 26 | 25 | 24 | 21 | 15 | 8 |
| 10 | 17 | 20 | 22 | 22 | 22 | 21 | 18 | 13 | 7 |
| 6 | 11 | 14 | 16 | 16 | 16 | 16 | 13 | 10 | 5 |
| 3 | 6 | 7 | 8 | 8 | 9 | 8 | 7 | 5 | 2 |
Temperature in field 9x6 after 105 iterations:
