Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 39°C. We apply continuously 99°C heat to the field 1x2
What is the temperature (rounded to whole numbers) in the field 2x2 after 67 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
| 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 | 39 |
Field after 4 iterations (rounded after 4th iteration)
| 13 | 25 | 24 | 20 | 17 | 15 | 14 | 12 | 9 | 5 |
| 34 | 69 | 53 | 39 | 31 | 27 | 24 | 21 | 16 | 8 |
| 60 | 172 | 85 | 54 | 41 | 35 | 31 | 27 | 20 | 10 |
| 41 | 81 | 66 | 52 | 43 | 39 | 35 | 31 | 23 | 12 |
| 27 | 47 | 50 | 46 | 42 | 40 | 37 | 32 | 24 | 13 |
| 19 | 34 | 40 | 41 | 40 | 39 | 37 | 33 | 25 | 13 |
| 16 | 27 | 34 | 37 | 38 | 38 | 36 | 32 | 24 | 12 |
| 13 | 22 | 28 | 31 | 33 | 33 | 32 | 28 | 21 | 11 |
| 9 | 16 | 21 | 23 | 24 | 25 | 24 | 21 | 15 | 7 |
| 5 | 8 | 11 | 12 | 13 | 13 | 12 | 11 | 7 | 4 |
Temperature in field 2x2 after 67 iterations:
