Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 14°C. We apply continuously 109°C heat to the field 8x8
What is the temperature (rounded to whole numbers) in the field 8x7 after 59 iterations according to the Gauss-Seidel iteration
Field in the beginning
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 |
Field after 4 iterations (rounded after 4th iteration)
2 | 3 | 4 | 4 | 5 | 5 | 5 | 4 | 3 | 2 |
3 | 6 | 7 | 8 | 8 | 8 | 8 | 7 | 6 | 3 |
4 | 7 | 9 | 10 | 10 | 11 | 10 | 9 | 7 | 4 |
4 | 8 | 10 | 11 | 12 | 12 | 12 | 11 | 8 | 4 |
5 | 8 | 10 | 12 | 12 | 13 | 13 | 11 | 9 | 5 |
5 | 8 | 11 | 12 | 13 | 13 | 13 | 13 | 13 | 8 |
5 | 8 | 10 | 12 | 13 | 13 | 15 | 22 | 28 | 17 |
4 | 7 | 9 | 11 | 11 | 13 | 22 | 42 | 67 | 35 |
3 | 6 | 7 | 8 | 9 | 13 | 28 | 67 | 170 | 58 |
2 | 3 | 4 | 4 | 5 | 8 | 17 | 35 | 58 | 29 |
Temperature in field 8x7 after 59 iterations: