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 63°C heat to the field 5x3
What is the temperature (rounded to whole numbers) in the field 9x3 after 106 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 | 14 | 16 | 16 | 14 | 10 | 5 |
| 9 | 16 | 20 | 24 | 29 | 35 | 32 | 26 | 18 | 9 |
| 12 | 20 | 26 | 34 | 48 | 66 | 52 | 38 | 25 | 13 |
| 13 | 22 | 31 | 43 | 69 | 133 | 73 | 47 | 30 | 15 |
| 13 | 24 | 32 | 42 | 58 | 76 | 61 | 46 | 31 | 16 |
| 14 | 24 | 32 | 40 | 48 | 54 | 51 | 42 | 30 | 15 |
| 13 | 23 | 31 | 36 | 41 | 44 | 43 | 37 | 27 | 14 |
| 12 | 21 | 27 | 31 | 35 | 36 | 36 | 31 | 23 | 12 |
| 9 | 16 | 20 | 23 | 25 | 26 | 26 | 22 | 16 | 8 |
| 5 | 8 | 11 | 12 | 13 | 14 | 13 | 11 | 8 | 4 |
Temperature in field 9x3 after 106 iterations:
