Level 29

You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 22°C. We apply continuously 178°C heat to the field 2x7
What is the temperature (rounded to whole numbers) in the field 9x9 after 97 iterations according to the Gauss-Seidel iteration

Field in the beginning

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

Field after 4 iterations (rounded after 4th iteration)

3	5	6	7	7	7	7	7	5	3
5	9	11	12	13	13	13	11	9	4
6	11	14	15	16	17	16	15	11	6
7	12	16	18	19	19	19	17	13	7
7	16	23	25	24	22	21	18	14	7
12	30	49	44	35	28	24	20	14	7
24	65	117	81	52	35	27	21	15	7
36	111	292	127	65	39	27	20	13	7
27	70	120	82	51	32	22	15	10	5
14	32	47	38	26	18	12	8	5	3

Temperature in field 9x9 after 97 iterations:

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

3	5	6	7	7	7	7	7	5	3
5	9	11	12	13	13	13	11	9	4
6	11	14	15	16	17	16	15	11	6
7	12	16	18	19	19	19	17	13	7
7	16	23	25	24	22	21	18	14	7
12	30	49	44	35	28	24	20	14	7
24	65	117	81	52	35	27	21	15	7
36	111	292	127	65	39	27	20	13	7
27	70	120	82	51	32	22	15	10	5
14	32	47	38	26	18	12	8	5	3

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

3	5	6	7	7	7	7	7	5	3
5	9	11	12	13	13	13	11	9	4
6	11	14	15	16	17	16	15	11	6
7	12	16	18	19	19	19	17	13	7
7	16	23	25	24	22	21	18	14	7
12	30	49	44	35	28	24	20	14	7
24	65	117	81	52	35	27	21	15	7
36	111	292	127	65	39	27	20	13	7
27	70	120	82	51	32	22	15	10	5
14	32	47	38	26	18	12	8	5	3

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

3	5	6	7	7	7	7	7	5	3
5	9	11	12	13	13	13	11	9	4
6	11	14	15	16	17	16	15	11	6
7	12	16	18	19	19	19	17	13	7
7	16	23	25	24	22	21	18	14	7
12	30	49	44	35	28	24	20	14	7
24	65	117	81	52	35	27	21	15	7
36	111	292	127	65	39	27	20	13	7
27	70	120	82	51	32	22	15	10	5
14	32	47	38	26	18	12	8	5	3