Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 2°C. We apply continuously 162°C heat to the field 1x8
What is the temperature (rounded to whole numbers) in the field 9x1 after 122 iterations according to the Gauss-Seidel iteration
Field in the beginning
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Field after 4 iterations (rounded after 4th iteration)
0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
3 | 8 | 8 | 6 | 4 | 3 | 2 | 2 | 1 | 1 |
15 | 30 | 24 | 15 | 9 | 5 | 3 | 2 | 1 | 1 |
42 | 89 | 57 | 30 | 15 | 8 | 4 | 2 | 1 | 1 |
79 | 246 | 97 | 41 | 18 | 9 | 4 | 2 | 1 | 1 |
39 | 83 | 51 | 26 | 12 | 6 | 3 | 1 | 1 | 0 |
Temperature in field 9x1 after 122 iterations: