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No. XII.—A CENTURY OF CELLS

Can you complete this Magic Square, so that the rows, columns, and diagonals add up in every case to 505?

91	2	3	97	6	95	94	8	9	100
20				16	15				81
21				25	26				30
60				66	65				41
50	49	48	57	55	56	54	43	42	51
61	59	58	47	45	46	44	53	52	40
31				35	36				70
80				75	76				71
90				86	85				11
1	99	98	4	96	5	7	93	92	10

We have given you a substantial start, and, as a further hint, as all the numbers in the first and last columns end in 0 or 1, so in the two next columns all end in 2 or 9, in the two next in 3 or 8, in the two next in 4 or 7, and in the two central columns in 5 or 6.

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91	2	3	97	6	95	94	8	9	100
20				16	15				81
21				25	26				30
60				66	65				41
50	49	48	57	55	56	54	43	42	51
61	59	58	47	45	46	44	53	52	40
31				35	36				70
80				75	76				71
90				86	85				11
1	99	98	4	96	5	7	93	92	10

91	2	3	97	6	95	94	8	9	100
20				16	15				81
21				25	26				30
60				66	65				41
50	49	48	57	55	56	54	43	42	51
61	59	58	47	45	46	44	53	52	40
31				35	36				70
80				75	76				71
90				86	85				11
1	99	98	4	96	5	7	93	92	10

91	2	3	97	6	95	94	8	9	100
20				16	15				81
21				25	26				30
60				66	65				41
50	49	48	57	55	56	54	43	42	51
61	59	58	47	45	46	44	53	52	40
31				35	36				70
80				75	76				71
90				86	85				11
1	99	98	4	96	5	7	93	92	10