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84
THE INDIAN ANTIQUARY.
When, however, the total is odd, two of the groups, as already mentioned, will not amount to the given number, but the square will fulfil all the other prescribed conditions.
It is not necessary to give directions for filling up the remaining eight squares in the above arrangement when the total to be obtained is an even number, as those given by Mr. Grierson are equally applicable to it. But when the required total is an odd number, the directions given by Mr. Grierson do not apply, and the fol-. lowing instructions should be carefully followed. Calling this odd number a, the remaining eight squares are filled up by writing the difference between and the number in the next square but one in a diagonal direction from the square to be filled up, if the latter number be one of the digits 1, 2, 3 and 4; but, if the latter be one of the digits 6, 7, 8 and 9, by writing the difference between 1 and the digit in the next square but one in a diagonal direction from the square to be filled up. Thus, supposing the odd number to be 37, we should write under 2, 871118-1 17; between 4 and 7, 37-1-2 = 16; in the first square, 37 = 15; and above 3, 37-1-4-14. But when we come to fill up the remaining four squares, our formula changes, and we should write between 1 and 8, 37+16= 19613; above 6, 37+1 -7= 12; under 9, 37+1-8=11; and to the right of 7, finally get the following complete square :
a+
37+1 2
3
-
2
9 10. We thus
CORRESPONDENCE FOLKLORE THE STORY OF CHANDRAHASYA. While reading an article entitled "A Folklore Parallel," published at page 190 of vol. X. of the Ind. Antiquary, I was put in mind of a story agreeing with that in the main, though differing in names and particulars, current in this presi dency. The story runs as follows:
"A mighty king named Prasoma reigned in Kerala. He was killed in battle fighting with his enemies. Hearing the news of his death his wives burnt themselves as Satts. He had a son named Chandrahasya two months old. After the death of his parents the child was brought up with care by the nurse, who, finding it unsafe to remain in his father's capital,
[MARCH, 1882.
15
1 13
12 9 14
6 11 3 17
8
2
4 16 7 10
The total need not necessarily be 37. By altering the value of a to any odd number desired, exceeding 19, the total of every line and every group of four will always equal a, with the exception already pointed out.
Although the number 100 may be obtained in the above square and in that given by Mr. Grierson, a distinct problem is proposed with regard to it, viz., to arrange figures so as to give this total without using the constant digits 1 to 9. The solution of this problem is given in the following stanza, in which the first portion up to, and including, ar is mnemonic:
नीलं चापि दयाचलो नटभुवं खारीवरं रागिनं । भूपो नारि वगो जरा चरनिभं तानं शतं योजयेत् ॥ भूतप्रेतपिशाचराक्षससुरान् सर्पान् खलान् संहर । माँ पोरनयाविनाशनम नागार्जुन निर्मितम् ॥ From this we obtain the following figures:
30 16 18 36 10 44 22 24
32 14 20 34
28 26 40 6
In this square, which is called Nagarjuna, each line of four, horizontal, vertical and diagonal, and each group of four forming a square and the corner four make a total of 100, and the constant digits 1 to 9 (except 6) do not occur in it.
AND MISCELLANEA.
took him to Kuntalapura. There she begged alms from door to door, and with what she got she managed to live happily. The boy had a handsome person. The towns-people were pleased with him, and gave him or his nurse money, food, and clothes. Once upon a time, as the boy was playing in the street, he found a Shaligrama or stone sacred to Vishnu. Taking a liking for the stone, he always carried it in his mouth, only taking it out to worship in the morning, and at dinner time to offer Naivedya to it.
The king of Kuntalapura had a minister named Dushtabuddhi. This minister once brought together a number of Bråhmans for some ceremony calculated to give his son the sove
