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 190°C heat to the field 3x1
What is the temperature (rounded to whole numbers) in the field 3x3 after 47 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)
7 | 24 | 58 | 104 | 66 | 37 | 22 | 15 | 9 | 4 |
15 | 46 | 120 | 310 | 132 | 67 | 39 | 25 | 16 | 8 |
16 | 42 | 86 | 139 | 98 | 64 | 43 | 31 | 20 | 10 |
15 | 33 | 57 | 76 | 67 | 53 | 41 | 32 | 22 | 11 |
13 | 27 | 40 | 49 | 49 | 44 | 38 | 31 | 22 | 11 |
12 | 23 | 32 | 37 | 39 | 38 | 35 | 30 | 22 | 11 |
11 | 20 | 27 | 31 | 33 | 33 | 32 | 28 | 20 | 11 |
10 | 17 | 23 | 26 | 28 | 28 | 27 | 24 | 17 | 9 |
7 | 13 | 17 | 19 | 20 | 21 | 20 | 17 | 12 | 6 |
4 | 7 | 9 | 10 | 11 | 11 | 10 | 9 | 6 | 3 |
Temperature in field 3x3 after 47 iterations: