Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 27°C. We apply continuously 77°C heat to the field 6x7
What is the temperature (rounded to whole numbers) in the field 3x1 after 130 iterations according to the Gauss-Seidel iteration
Field in the beginning
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
Field after 4 iterations (rounded after 4th iteration)
4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
6 | 11 | 13 | 15 | 16 | 16 | 16 | 14 | 11 | 6 |
8 | 13 | 17 | 19 | 20 | 20 | 20 | 18 | 14 | 7 |
9 | 15 | 19 | 21 | 23 | 23 | 23 | 21 | 16 | 8 |
9 | 16 | 20 | 23 | 24 | 26 | 27 | 25 | 18 | 10 |
9 | 16 | 20 | 23 | 26 | 33 | 39 | 33 | 23 | 12 |
9 | 16 | 20 | 24 | 32 | 47 | 68 | 49 | 30 | 14 |
8 | 14 | 18 | 24 | 36 | 66 | 142 | 67 | 35 | 15 |
6 | 11 | 14 | 18 | 27 | 44 | 64 | 44 | 26 | 12 |
3 | 6 | 7 | 10 | 14 | 21 | 26 | 21 | 13 | 6 |
Temperature in field 3x1 after 130 iterations: