Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 24°C. We apply continuously 175°C heat to the field 2x8
What is the temperature (rounded to whole numbers) in the field 5x0 after 100 iterations according to the Gauss-Seidel iteration
Field in the beginning
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
Field after 4 iterations (rounded after 4th iteration)
3 | 6 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 3 |
6 | 10 | 12 | 13 | 14 | 14 | 14 | 13 | 9 | 5 |
7 | 12 | 15 | 17 | 18 | 18 | 18 | 16 | 12 | 6 |
8 | 13 | 17 | 19 | 20 | 21 | 20 | 18 | 14 | 7 |
8 | 14 | 19 | 21 | 22 | 22 | 22 | 19 | 15 | 8 |
8 | 17 | 25 | 27 | 26 | 25 | 23 | 20 | 15 | 8 |
12 | 31 | 49 | 45 | 36 | 29 | 25 | 21 | 15 | 8 |
23 | 63 | 114 | 79 | 50 | 34 | 26 | 20 | 14 | 7 |
34 | 105 | 281 | 118 | 58 | 34 | 23 | 16 | 10 | 5 |
21 | 55 | 99 | 63 | 35 | 21 | 13 | 9 | 6 | 3 |
Temperature in field 5x0 after 100 iterations: