Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 6°C. We apply continuously 96°C heat to the field 6x3
What is the temperature (rounded to whole numbers) in the field 8x1 after 89 iterations according to the Gauss-Seidel iteration
Field in the beginning
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
Field after 4 iterations (rounded after 4th iteration)
1 | 1 | 2 | 2 | 2 | 4 | 6 | 5 | 4 | 2 |
1 | 2 | 3 | 3 | 6 | 13 | 21 | 17 | 10 | 5 |
2 | 3 | 4 | 6 | 14 | 33 | 59 | 38 | 20 | 9 |
2 | 3 | 5 | 9 | 22 | 59 | 155 | 64 | 29 | 12 |
2 | 3 | 5 | 9 | 19 | 39 | 65 | 43 | 24 | 11 |
2 | 4 | 5 | 8 | 13 | 23 | 31 | 26 | 17 | 8 |
2 | 3 | 5 | 6 | 9 | 14 | 17 | 15 | 11 | 6 |
2 | 3 | 4 | 5 | 7 | 9 | 10 | 9 | 7 | 4 |
1 | 2 | 3 | 4 | 4 | 5 | 6 | 5 | 4 | 2 |
1 | 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 1 |
Temperature in field 8x1 after 89 iterations: