This cross-number uses Roman numbers only and, every clue is the same.
(Examples of five Roman numbers are VIII = 8, LXXVI = 76, CXXXVI = 136,
CM = 900 and MDCCCLXII = 1862.)
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ACROSS DOWN
1. A perfect square 1. A perfect square
7. A perfect square 2. A perfect square
8. A perfect square 3. A perfect square
9. A perfect square 4. A perfect square
10. A perfect square 5. A perfect square
13. A perfect square 6. A perfect square
14. A perfect square 7. A perfect square
17. A perfect square 11. A perfect square
19. A perfect square 12. A perfect square
20. A perfect square 15. A perfect square
16. A perfect square
18. A perfect square
19. A perfect square
The 2-digit squares can begin only with I or C, and no 8-letter square can have an I in either the second or the third position, so 2-down and 3-down each begin with C.
That 8-letter square, 1-across, must then be MCCCLXIX.
The only 4-letter square beginning with X is XLIX, so that must go in 6-down.
The only 5-letter square beginning with X is XXXVI, so that's 5-down.
No 6-letter square has an I in the second position, so the 2-letter 8-across must begin with C. Then 1-down must be a 6-letter square beginning with M and having D or M in the third position. Only MMMXXV fits this.
17-across has three letters, the middle of which is V. Only XVI fits this.
14-across is either IV or IX. Since no 4-letter square begins with V, it must be IX, and 15-down must be XLIX, the only 4-letter square beginning with X.
When C is in the second position of a 6-letter square, then so is the third position, so 10-across begins with a C, and is either CXLIV or CXCVI. But if it were the latter, 11-down would begin with C, which could only be CXXI, conflicting with the already placed I at the end of 17-across. So 10-across is CXLIV, and 11-down is forced to be LXIV.
4-down is CC_VI, which can only be CCLVI.
Then 9-across, L_X_I, can only be LXXXI.
20-across has 7 letters, the second of which must be V, X, D or M, as the second spot for a 2-letter square at 19-down, and whose 5th position already has an X. So 20-across is MMCMXVI.
19-down must be CM and 18-down MDC.
The 4-letter square at 16-down, ending in I, must be CXXI.
The puzzle is then finished.
M C C C L X I X
M M M D C X L
C M L X X X I
C X L I V V X
X X X V I I X C
X V I M L X
V V C D I X
M M C M X V I
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Posted by Charlie
on 2013-05-27 14:13:27 |
solution
