Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 32°C. We apply continuously 147°C heat to the field 6x4
What is the temperature (rounded to whole numbers) in the field 1x7 after 120 iterations according to the Gauss-Seidel iteration
Field in the beginning
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
Field after 4 iterations (rounded after 4th iteration)
4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 8 | 4 |
7 | 13 | 16 | 18 | 19 | 21 | 24 | 22 | 16 | 8 |
9 | 16 | 20 | 23 | 27 | 38 | 50 | 42 | 28 | 14 |
10 | 18 | 23 | 28 | 41 | 70 | 110 | 76 | 45 | 21 |
11 | 19 | 24 | 33 | 55 | 112 | 258 | 117 | 59 | 26 |
11 | 19 | 25 | 33 | 50 | 82 | 121 | 86 | 51 | 24 |
11 | 19 | 24 | 31 | 41 | 56 | 69 | 58 | 39 | 20 |
10 | 17 | 22 | 26 | 32 | 39 | 44 | 39 | 28 | 14 |
7 | 13 | 16 | 19 | 22 | 26 | 27 | 24 | 18 | 9 |
4 | 7 | 8 | 10 | 11 | 13 | 13 | 12 | 9 | 4 |
Temperature in field 1x7 after 120 iterations: