Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 36°C. We apply continuously 125°C heat to the field 2x0
What is the temperature (rounded to whole numbers) in the field 0x0 after 126 iterations according to the Gauss-Seidel iteration
Field in the beginning
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
Field after 4 iterations (rounded after 4th iteration)
20 | 61 | 177 | 67 | 32 | 20 | 15 | 12 | 9 | 4 |
21 | 50 | 84 | 59 | 41 | 30 | 25 | 21 | 15 | 8 |
18 | 37 | 51 | 48 | 40 | 35 | 30 | 26 | 19 | 10 |
15 | 29 | 38 | 40 | 38 | 36 | 33 | 29 | 21 | 11 |
14 | 25 | 33 | 36 | 36 | 36 | 34 | 30 | 22 | 12 |
13 | 23 | 30 | 34 | 35 | 35 | 34 | 30 | 23 | 12 |
12 | 22 | 28 | 32 | 33 | 34 | 33 | 30 | 22 | 11 |
11 | 19 | 25 | 28 | 30 | 30 | 30 | 26 | 19 | 10 |
8 | 14 | 18 | 21 | 22 | 23 | 22 | 19 | 14 | 7 |
4 | 7 | 10 | 11 | 12 | 12 | 11 | 10 | 7 | 3 |
Temperature in field 0x0 after 126 iterations: