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 149°C heat to the field 5x2
What is the temperature (rounded to whole numbers) in the field 1x0 after 112 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 | 5 | 16 | 27 | 21 | 13 | 7 | 3 |
1 | 2 | 5 | 18 | 47 | 87 | 55 | 29 | 15 | 6 |
2 | 4 | 10 | 31 | 88 | 237 | 97 | 44 | 21 | 8 |
2 | 4 | 10 | 26 | 57 | 98 | 65 | 37 | 19 | 8 |
2 | 4 | 8 | 17 | 32 | 46 | 38 | 25 | 15 | 7 |
2 | 4 | 7 | 11 | 18 | 23 | 22 | 17 | 11 | 5 |
2 | 4 | 5 | 8 | 11 | 13 | 13 | 11 | 8 | 4 |
2 | 3 | 4 | 6 | 7 | 8 | 8 | 7 | 5 | 3 |
1 | 2 | 3 | 4 | 5 | 5 | 5 | 5 | 3 | 2 |
1 | 1 | 2 | 2 | 2 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 1x0 after 112 iterations: