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 185°C heat to the field 3x1
What is the temperature (rounded to whole numbers) in the field 2x8 after 138 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)
8 | 24 | 57 | 103 | 65 | 37 | 23 | 15 | 10 | 5 |
15 | 46 | 119 | 303 | 130 | 66 | 40 | 26 | 17 | 8 |
17 | 43 | 86 | 138 | 98 | 64 | 44 | 32 | 21 | 11 |
15 | 34 | 57 | 76 | 68 | 54 | 43 | 33 | 23 | 12 |
14 | 27 | 41 | 50 | 50 | 45 | 39 | 32 | 23 | 12 |
13 | 24 | 33 | 39 | 41 | 39 | 36 | 31 | 23 | 12 |
12 | 21 | 28 | 33 | 35 | 35 | 34 | 29 | 22 | 11 |
10 | 18 | 24 | 28 | 29 | 30 | 29 | 25 | 18 | 9 |
8 | 14 | 18 | 20 | 22 | 22 | 21 | 18 | 13 | 7 |
4 | 7 | 9 | 10 | 11 | 11 | 11 | 9 | 7 | 3 |
Temperature in field 2x8 after 138 iterations: