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 119°C heat to the field 4x0
What is the temperature (rounded to whole numbers) in the field 9x5 after 46 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 | 13 | 27 | 63 | 172 | 66 | 32 | 19 | 12 | 6 |
| 10 | 20 | 34 | 57 | 86 | 61 | 42 | 30 | 20 | 10 |
| 12 | 23 | 34 | 47 | 57 | 52 | 43 | 34 | 24 | 12 |
| 13 | 24 | 33 | 41 | 46 | 45 | 41 | 35 | 25 | 13 |
| 13 | 24 | 32 | 38 | 41 | 42 | 40 | 35 | 26 | 14 |
| 14 | 24 | 31 | 36 | 39 | 40 | 39 | 35 | 26 | 14 |
| 13 | 23 | 30 | 34 | 37 | 38 | 37 | 33 | 25 | 13 |
| 12 | 21 | 27 | 31 | 33 | 34 | 33 | 29 | 21 | 11 |
| 9 | 16 | 20 | 23 | 25 | 25 | 24 | 21 | 15 | 8 |
| 5 | 8 | 11 | 12 | 13 | 13 | 13 | 11 | 8 | 4 |
Temperature in field 9x5 after 46 iterations:
