Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 7°C. We apply continuously 103°C heat to the field 1x1
What is the temperature (rounded to whole numbers) in the field 1x3 after 99 iterations according to the Gauss-Seidel iteration
Field in the beginning
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
Field after 4 iterations (rounded after 4th iteration)
24 | 52 | 32 | 16 | 9 | 5 | 3 | 3 | 2 | 1 |
52 | 159 | 64 | 29 | 15 | 9 | 6 | 4 | 3 | 2 |
32 | 64 | 44 | 26 | 16 | 10 | 7 | 6 | 4 | 2 |
16 | 29 | 26 | 19 | 14 | 10 | 8 | 6 | 4 | 2 |
9 | 15 | 16 | 14 | 11 | 9 | 8 | 6 | 5 | 2 |
5 | 9 | 10 | 10 | 9 | 8 | 7 | 6 | 5 | 2 |
3 | 6 | 7 | 8 | 8 | 7 | 7 | 6 | 4 | 2 |
3 | 4 | 6 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
2 | 3 | 4 | 4 | 5 | 5 | 4 | 4 | 3 | 1 |
1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
Temperature in field 1x3 after 99 iterations: