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 70°C heat to the field 3x5
What is the temperature (rounded to whole numbers) in the field 4x0 after 84 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 | 24 | 24 | 23 | 21 | 16 | 8 |
| 12 | 20 | 26 | 31 | 32 | 32 | 31 | 27 | 20 | 11 |
| 13 | 24 | 35 | 44 | 43 | 40 | 37 | 32 | 23 | 12 |
| 14 | 30 | 50 | 73 | 60 | 49 | 42 | 35 | 26 | 13 |
| 16 | 36 | 70 | 144 | 80 | 56 | 45 | 37 | 27 | 14 |
| 16 | 33 | 54 | 77 | 64 | 52 | 44 | 36 | 26 | 13 |
| 14 | 27 | 39 | 49 | 47 | 43 | 38 | 32 | 22 | 11 |
| 10 | 19 | 26 | 31 | 32 | 30 | 28 | 23 | 16 | 8 |
| 5 | 9 | 13 | 15 | 16 | 16 | 14 | 12 | 8 | 4 |
Temperature in field 4x0 after 84 iterations:
