Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 19°C. We apply continuously 199°C heat to the field 1x4
What is the temperature (rounded to whole numbers) in the field 4x6 after 67 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
| 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 | 19 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 7 | 7 | 7 | 6 | 6 | 4 | 2 |
| 8 | 16 | 17 | 15 | 14 | 13 | 12 | 10 | 8 | 4 |
| 23 | 45 | 40 | 30 | 22 | 18 | 16 | 13 | 10 | 5 |
| 57 | 120 | 82 | 51 | 33 | 24 | 19 | 16 | 11 | 6 |
| 105 | 317 | 136 | 69 | 41 | 28 | 22 | 17 | 12 | 6 |
| 64 | 130 | 92 | 59 | 39 | 28 | 22 | 18 | 13 | 7 |
| 34 | 61 | 56 | 43 | 32 | 26 | 21 | 17 | 12 | 6 |
| 18 | 31 | 33 | 29 | 25 | 21 | 18 | 15 | 11 | 5 |
| 9 | 17 | 19 | 19 | 17 | 15 | 13 | 11 | 8 | 4 |
| 4 | 7 | 9 | 9 | 9 | 8 | 7 | 6 | 4 | 2 |
Temperature in field 4x6 after 67 iterations:
