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 200°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 1x3 after 97 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 | 2 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 4 | 9 | 9 | 6 | 4 | 2 | 1 |
1 | 1 | 6 | 21 | 37 | 30 | 18 | 10 | 5 | 2 |
1 | 4 | 21 | 60 | 114 | 72 | 38 | 19 | 9 | 4 |
1 | 9 | 37 | 114 | 314 | 127 | 56 | 26 | 12 | 5 |
2 | 9 | 30 | 72 | 127 | 82 | 45 | 23 | 12 | 5 |
1 | 6 | 18 | 38 | 56 | 45 | 30 | 17 | 9 | 4 |
1 | 4 | 10 | 19 | 26 | 23 | 17 | 11 | 7 | 3 |
1 | 2 | 5 | 9 | 12 | 12 | 9 | 7 | 4 | 2 |
0 | 1 | 2 | 4 | 5 | 5 | 4 | 3 | 2 | 1 |
Temperature in field 1x3 after 97 iterations: