Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 18°C. We apply continuously 84°C heat to the field 4x6
What is the temperature (rounded to whole numbers) in the field 5x2 after 59 iterations according to the Gauss-Seidel iteration
Field in the beginning
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
Field after 4 iterations (rounded after 4th iteration)
3 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
4 | 7 | 9 | 10 | 10 | 11 | 10 | 9 | 7 | 4 |
5 | 9 | 11 | 13 | 14 | 14 | 14 | 12 | 9 | 5 |
6 | 10 | 13 | 16 | 18 | 19 | 17 | 15 | 11 | 6 |
6 | 10 | 15 | 23 | 31 | 28 | 23 | 18 | 13 | 6 |
6 | 12 | 22 | 40 | 64 | 46 | 32 | 22 | 14 | 7 |
6 | 14 | 29 | 62 | 147 | 69 | 39 | 25 | 15 | 7 |
6 | 13 | 24 | 43 | 67 | 49 | 33 | 22 | 14 | 7 |
4 | 9 | 16 | 25 | 33 | 29 | 22 | 16 | 10 | 5 |
2 | 5 | 8 | 12 | 15 | 14 | 11 | 8 | 5 | 3 |
Temperature in field 5x2 after 59 iterations: