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 74°C heat to the field 9x8
What is the temperature (rounded to whole numbers) in the field 6x3 after 68 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 | 23 | 30 | 34 | 36 | 36 | 36 | 32 | 24 | 13 |
| 14 | 24 | 30 | 34 | 36 | 37 | 37 | 33 | 26 | 15 |
| 13 | 23 | 30 | 34 | 36 | 37 | 36 | 34 | 31 | 22 |
| 12 | 21 | 27 | 30 | 32 | 33 | 34 | 35 | 40 | 42 |
| 9 | 16 | 20 | 23 | 24 | 25 | 27 | 33 | 51 | 105 |
| 5 | 8 | 11 | 12 | 13 | 13 | 15 | 18 | 26 | 33 |
Temperature in field 6x3 after 68 iterations:
