Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 40°C. We apply continuously 78°C heat to the field 1x8
What is the temperature (rounded to whole numbers) in the field 5x9 after 41 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
Field after 4 iterations (rounded after 4th iteration)
| 6 | 9 | 12 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 9 | 16 | 20 | 22 | 23 | 24 | 23 | 21 | 16 | 8 |
| 12 | 20 | 25 | 28 | 30 | 30 | 30 | 27 | 20 | 11 |
| 13 | 22 | 28 | 32 | 34 | 34 | 34 | 30 | 23 | 12 |
| 13 | 24 | 30 | 34 | 36 | 37 | 36 | 32 | 24 | 13 |
| 15 | 27 | 33 | 36 | 38 | 38 | 37 | 33 | 25 | 13 |
| 20 | 37 | 41 | 40 | 39 | 38 | 37 | 33 | 24 | 13 |
| 32 | 63 | 53 | 44 | 39 | 36 | 34 | 29 | 21 | 11 |
| 47 | 134 | 66 | 42 | 33 | 29 | 26 | 22 | 15 | 8 |
| 24 | 48 | 35 | 24 | 18 | 16 | 14 | 11 | 8 | 4 |
Temperature in field 5x9 after 41 iterations:
