Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 181°C heat to the field 6x3
What is the temperature (rounded to whole numbers) in the field 4x1 after 68 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 6 | 7 | 10 | 14 | 13 | 9 | 4 |
| 5 | 8 | 10 | 11 | 16 | 29 | 44 | 36 | 23 | 11 |
| 6 | 10 | 13 | 17 | 32 | 68 | 117 | 77 | 42 | 19 |
| 6 | 11 | 15 | 23 | 49 | 119 | 300 | 128 | 60 | 25 |
| 7 | 12 | 16 | 24 | 43 | 82 | 131 | 89 | 51 | 23 |
| 7 | 12 | 16 | 22 | 33 | 51 | 67 | 56 | 37 | 18 |
| 7 | 12 | 15 | 19 | 26 | 34 | 40 | 36 | 26 | 13 |
| 6 | 10 | 14 | 16 | 20 | 24 | 26 | 24 | 18 | 9 |
| 5 | 8 | 10 | 12 | 14 | 15 | 16 | 15 | 11 | 6 |
| 2 | 4 | 5 | 6 | 7 | 8 | 8 | 7 | 5 | 3 |
Temperature in field 4x1 after 68 iterations:
