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 126°C heat to the field 6x4
What is the temperature (rounded to whole numbers) in the field 3x8 after 70 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 | 14 | 13 | 10 | 5 |
| 9 | 16 | 20 | 22 | 23 | 26 | 28 | 26 | 19 | 10 |
| 12 | 20 | 25 | 28 | 33 | 42 | 52 | 44 | 30 | 15 |
| 13 | 22 | 28 | 34 | 46 | 71 | 105 | 75 | 45 | 21 |
| 13 | 23 | 30 | 39 | 58 | 107 | 233 | 111 | 58 | 26 |
| 14 | 24 | 31 | 39 | 54 | 82 | 115 | 84 | 52 | 25 |
| 13 | 23 | 30 | 37 | 46 | 60 | 70 | 60 | 41 | 21 |
| 12 | 21 | 27 | 32 | 38 | 44 | 48 | 42 | 31 | 16 |
| 9 | 16 | 20 | 24 | 27 | 30 | 31 | 27 | 20 | 10 |
| 5 | 8 | 11 | 12 | 14 | 15 | 15 | 13 | 10 | 5 |
Temperature in field 3x8 after 70 iterations:
