Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 3°C. We apply continuously 151°C heat to the field 4x5
What is the temperature (rounded to whole numbers) in the field 2x3 after 56 iterations according to the Gauss-Seidel iteration
Field in the beginning
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Field after 4 iterations (rounded after 4th iteration)
0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
1 | 1 | 1 | 2 | 2 | 3 | 2 | 2 | 1 | 1 |
1 | 1 | 2 | 4 | 8 | 8 | 6 | 4 | 2 | 1 |
1 | 2 | 6 | 17 | 30 | 24 | 15 | 9 | 5 | 2 |
1 | 4 | 17 | 47 | 88 | 56 | 30 | 15 | 8 | 3 |
2 | 8 | 29 | 88 | 239 | 97 | 44 | 21 | 10 | 4 |
2 | 7 | 23 | 56 | 97 | 64 | 36 | 19 | 10 | 4 |
1 | 5 | 14 | 30 | 43 | 35 | 23 | 14 | 8 | 3 |
1 | 3 | 8 | 15 | 20 | 18 | 13 | 9 | 5 | 2 |
1 | 2 | 3 | 6 | 8 | 8 | 6 | 4 | 3 | 1 |
Temperature in field 2x3 after 56 iterations: