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 173°C heat to the field 9x3
What is the temperature (rounded to whole numbers) in the field 5x6 after 119 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 | 7 | 7 |
4 | 7 | 9 | 10 | 10 | 11 | 10 | 13 | 22 | 26 |
5 | 9 | 11 | 13 | 13 | 14 | 16 | 28 | 53 | 78 |
6 | 10 | 13 | 14 | 15 | 16 | 22 | 43 | 96 | 236 |
6 | 10 | 13 | 15 | 16 | 17 | 22 | 36 | 61 | 82 |
6 | 11 | 14 | 15 | 16 | 17 | 21 | 27 | 35 | 33 |
6 | 10 | 13 | 15 | 16 | 17 | 18 | 21 | 22 | 16 |
5 | 9 | 12 | 14 | 15 | 15 | 16 | 16 | 14 | 9 |
4 | 7 | 9 | 10 | 11 | 11 | 11 | 11 | 9 | 5 |
2 | 4 | 5 | 5 | 6 | 6 | 6 | 5 | 4 | 2 |
Temperature in field 5x6 after 119 iterations: