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 102°C heat to the field 3x6
What is the temperature (rounded to whole numbers) in the field 3x3 after 137 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 | 7 |
10 | 17 | 21 | 24 | 26 | 26 | 26 | 23 | 17 | 9 |
11 | 19 | 26 | 31 | 32 | 32 | 30 | 26 | 20 | 10 |
11 | 22 | 35 | 47 | 45 | 39 | 35 | 29 | 22 | 11 |
13 | 30 | 56 | 87 | 67 | 50 | 40 | 32 | 23 | 12 |
15 | 38 | 83 | 188 | 94 | 59 | 43 | 33 | 23 | 12 |
14 | 32 | 59 | 89 | 68 | 50 | 39 | 30 | 20 | 10 |
10 | 22 | 35 | 47 | 42 | 35 | 28 | 22 | 15 | 7 |
5 | 11 | 17 | 21 | 20 | 18 | 15 | 11 | 8 | 4 |
Temperature in field 3x3 after 137 iterations: