Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 34°C. We apply continuously 194°C heat to the field 9x5
What is the temperature (rounded to whole numbers) in the field 5x6 after 45 iterations according to the Gauss-Seidel iteration
Field in the beginning
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
Field after 4 iterations (rounded after 4th iteration)
5 | 8 | 10 | 11 | 11 | 12 | 11 | 10 | 8 | 4 |
8 | 14 | 17 | 19 | 20 | 20 | 20 | 18 | 13 | 8 |
10 | 17 | 21 | 24 | 25 | 26 | 25 | 23 | 20 | 15 |
11 | 19 | 24 | 27 | 28 | 29 | 29 | 30 | 36 | 35 |
11 | 20 | 25 | 28 | 30 | 31 | 34 | 45 | 70 | 93 |
12 | 20 | 26 | 29 | 31 | 33 | 39 | 61 | 118 | 270 |
11 | 20 | 25 | 29 | 30 | 32 | 38 | 52 | 77 | 97 |
10 | 18 | 23 | 26 | 27 | 29 | 32 | 38 | 45 | 40 |
8 | 13 | 17 | 19 | 21 | 22 | 23 | 25 | 25 | 18 |
4 | 7 | 9 | 10 | 11 | 11 | 12 | 12 | 11 | 7 |
Temperature in field 5x6 after 45 iterations: