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 157°C heat to the field 5x6
What is the temperature (rounded to whole numbers) in the field 4x0 after 62 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 | 7 | 4 |
7 | 13 | 16 | 18 | 19 | 19 | 19 | 17 | 13 | 7 |
9 | 16 | 20 | 23 | 24 | 25 | 25 | 22 | 16 | 9 |
10 | 18 | 23 | 25 | 29 | 34 | 33 | 28 | 20 | 11 |
11 | 19 | 24 | 30 | 43 | 57 | 51 | 39 | 26 | 13 |
11 | 19 | 27 | 42 | 75 | 118 | 85 | 55 | 33 | 16 |
11 | 19 | 30 | 55 | 117 | 275 | 127 | 68 | 38 | 17 |
10 | 17 | 27 | 46 | 81 | 124 | 89 | 57 | 34 | 16 |
7 | 13 | 20 | 31 | 48 | 62 | 53 | 38 | 24 | 11 |
4 | 7 | 10 | 16 | 22 | 27 | 25 | 19 | 12 | 6 |
Temperature in field 4x0 after 62 iterations: