Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 9°C. We apply continuously 126°C heat to the field 7x5
What is the temperature (rounded to whole numbers) in the field 0x4 after 130 iterations according to the Gauss-Seidel iteration
Field in the beginning
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Field after 4 iterations (rounded after 4th iteration)
1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
3 | 4 | 6 | 6 | 7 | 7 | 9 | 11 | 9 | 5 |
3 | 5 | 6 | 7 | 8 | 11 | 20 | 29 | 23 | 12 |
3 | 5 | 7 | 8 | 10 | 20 | 45 | 78 | 49 | 22 |
3 | 5 | 7 | 8 | 13 | 31 | 79 | 204 | 83 | 32 |
3 | 5 | 7 | 8 | 13 | 26 | 52 | 86 | 55 | 25 |
3 | 5 | 6 | 7 | 10 | 18 | 30 | 40 | 31 | 16 |
2 | 4 | 5 | 5 | 7 | 11 | 16 | 20 | 16 | 9 |
1 | 2 | 2 | 3 | 4 | 5 | 7 | 8 | 7 | 4 |
Temperature in field 0x4 after 130 iterations: