Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 26°C. We apply continuously 183°C heat to the field 7x1
What is the temperature (rounded to whole numbers) in the field 2x4 after 103 iterations according to the Gauss-Seidel iteration
Field in the beginning
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 |
Field after 4 iterations (rounded after 4th iteration)
4 | 6 | 8 | 8 | 12 | 25 | 55 | 99 | 58 | 25 |
6 | 10 | 13 | 15 | 22 | 48 | 116 | 295 | 118 | 45 |
8 | 13 | 16 | 19 | 26 | 45 | 83 | 130 | 83 | 38 |
8 | 14 | 18 | 21 | 26 | 37 | 55 | 68 | 52 | 27 |
9 | 15 | 19 | 22 | 26 | 31 | 39 | 42 | 34 | 19 |
9 | 15 | 20 | 23 | 25 | 28 | 31 | 31 | 25 | 14 |
9 | 15 | 19 | 22 | 24 | 25 | 27 | 25 | 20 | 11 |
8 | 14 | 17 | 20 | 21 | 22 | 22 | 20 | 15 | 8 |
6 | 10 | 13 | 15 | 16 | 17 | 16 | 14 | 11 | 5 |
3 | 5 | 7 | 8 | 8 | 9 | 8 | 7 | 5 | 3 |
Temperature in field 2x4 after 103 iterations: