Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 24°C. We apply continuously 136°C heat to the field 2x9
What is the temperature (rounded to whole numbers) in the field 9x4 after 56 iterations according to the Gauss-Seidel iteration
Field in the beginning
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
Field after 4 iterations (rounded after 4th iteration)
3 | 6 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 3 |
6 | 10 | 12 | 13 | 14 | 14 | 14 | 13 | 9 | 5 |
7 | 12 | 15 | 17 | 18 | 18 | 18 | 16 | 12 | 6 |
8 | 13 | 17 | 19 | 20 | 21 | 20 | 18 | 14 | 7 |
8 | 14 | 18 | 20 | 21 | 22 | 22 | 19 | 15 | 8 |
8 | 14 | 19 | 21 | 22 | 23 | 22 | 20 | 15 | 8 |
8 | 16 | 23 | 25 | 25 | 24 | 23 | 20 | 15 | 8 |
10 | 25 | 39 | 35 | 29 | 25 | 22 | 18 | 13 | 7 |
16 | 44 | 79 | 53 | 34 | 23 | 18 | 14 | 10 | 5 |
19 | 62 | 188 | 67 | 29 | 16 | 11 | 8 | 5 | 2 |
Temperature in field 9x4 after 56 iterations: