Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 28°C. We apply continuously 80°C heat to the field 1x1
What is the temperature (rounded to whole numbers) in the field 2x4 after 134 iterations according to the Gauss-Seidel iteration
Field in the beginning
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
Field after 4 iterations (rounded after 4th iteration)
22 | 45 | 31 | 20 | 14 | 12 | 10 | 9 | 6 | 3 |
45 | 132 | 61 | 35 | 25 | 20 | 18 | 15 | 11 | 6 |
31 | 61 | 48 | 36 | 29 | 25 | 23 | 19 | 14 | 7 |
20 | 35 | 36 | 33 | 29 | 27 | 25 | 22 | 16 | 9 |
14 | 25 | 29 | 29 | 29 | 28 | 26 | 23 | 17 | 9 |
12 | 20 | 25 | 27 | 28 | 28 | 27 | 24 | 18 | 9 |
10 | 18 | 23 | 25 | 26 | 27 | 26 | 23 | 17 | 9 |
9 | 15 | 19 | 22 | 23 | 24 | 23 | 20 | 15 | 8 |
6 | 11 | 14 | 16 | 17 | 18 | 17 | 15 | 11 | 5 |
3 | 6 | 7 | 9 | 9 | 9 | 9 | 8 | 5 | 3 |
Temperature in field 2x4 after 134 iterations: