Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 1°C. We apply continuously 148°C heat to the field 1x7
What is the temperature (rounded to whole numbers) in the field 8x8 after 90 iterations according to the Gauss-Seidel iteration
Field in the beginning
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Field after 4 iterations (rounded after 4th iteration)
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
3 | 7 | 6 | 4 | 3 | 2 | 1 | 1 | 1 | 0 |
13 | 27 | 21 | 13 | 7 | 4 | 2 | 1 | 1 | 0 |
38 | 82 | 52 | 27 | 13 | 7 | 3 | 2 | 1 | 0 |
74 | 228 | 91 | 40 | 18 | 9 | 4 | 2 | 1 | 0 |
43 | 88 | 57 | 31 | 16 | 8 | 4 | 2 | 1 | 0 |
18 | 32 | 26 | 16 | 9 | 5 | 2 | 1 | 1 | 0 |
Temperature in field 8x8 after 90 iterations: