Level 29

You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 19°C. We apply continuously 78°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 0x6 after 117 iterations according to the Gauss-Seidel iteration

Field in the beginning

19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19

Field after 4 iterations (rounded after 4th iteration)

3	4	5	6	6	6	6	6	4	2
4	8	9	11	11	11	11	10	7	4
5	9	12	13	14	14	14	13	10	5
6	11	13	15	16	17	16	15	11	6
6	11	14	16	18	20	20	17	13	7
6	11	14	18	25	32	28	22	15	8
6	11	15	23	40	61	45	30	18	9
6	10	16	28	59	138	64	35	19	9
4	8	12	22	39	60	42	26	15	7
2	4	7	11	18	24	20	14	8	4

Temperature in field 0x6 after 117 iterations:

19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19

3	4	5	6	6	6	6	6	4	2
4	8	9	11	11	11	11	10	7	4
5	9	12	13	14	14	14	13	10	5
6	11	13	15	16	17	16	15	11	6
6	11	14	16	18	20	20	17	13	7
6	11	14	18	25	32	28	22	15	8
6	11	15	23	40	61	45	30	18	9
6	10	16	28	59	138	64	35	19	9
4	8	12	22	39	60	42	26	15	7
2	4	7	11	18	24	20	14	8	4

19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19

3	4	5	6	6	6	6	6	4	2
4	8	9	11	11	11	11	10	7	4
5	9	12	13	14	14	14	13	10	5
6	11	13	15	16	17	16	15	11	6
6	11	14	16	18	20	20	17	13	7
6	11	14	18	25	32	28	22	15	8
6	11	15	23	40	61	45	30	18	9
6	10	16	28	59	138	64	35	19	9
4	8	12	22	39	60	42	26	15	7
2	4	7	11	18	24	20	14	8	4

19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19
19	19	19	19	19	19	19	19	19	19

3	4	5	6	6	6	6	6	4	2
4	8	9	11	11	11	11	10	7	4
5	9	12	13	14	14	14	13	10	5
6	11	13	15	16	17	16	15	11	6
6	11	14	16	18	20	20	17	13	7
6	11	14	18	25	32	28	22	15	8
6	11	15	23	40	61	45	30	18	9
6	10	16	28	59	138	64	35	19	9
4	8	12	22	39	60	42	26	15	7
2	4	7	11	18	24	20	14	8	4