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
n n^2 n^2 (Roman) Length of Roman
representation
1 1 I 1
10 100 C 1
2 4 IV 2
3 9 IX 2
20 400 CD 2
30 900 CM 2
4 16 XVI 3
5 25 XXV 3
40 1600 MDC 3
50 2500 MMD 3
7 49 XLIX 4
8 64 LXIV 4
11 121 CXXI 4
6 36 XXXVI 5
9 81 LXXXI 5
12 144 CXLIV 5
13 169 CLXIX 5
14 196 CXCVI 5
15 225 CCXXV 5
16 256 CCLVI 5
21 441 CDXLI 5
23 529 DXXIX 5
25 625 DCXXV 5
31 961 CMLXI 5
32 1024 MXXIV 5
34 1156 MCLVI 5
39 1521 MDXXI 5
45 2025 MMXXV 5
49 2401 MMCDI 5
51 2601 MMDCI 5
60 3600 MMMDC 5
19 361 CCCLXI 6
24 576 DLXXVI 6
35 1225 MCCXXV 6
46 2116 MMCXVI 6
47 2209 MMCCIX 6
55 3025 MMMXXV 6
18 324 CCCXXIV 7
26 676 DCLXXVI 7
27 729 DCCXXIX 7
29 841 DCCCXLI 7
33 1089 MLXXXIX 7
36 1296 MCCXCVI 7
38 1444 MCDXLIV 7
48 2304 MMCCCIV 7
52 2704 MMDCCIV 7
54 2916 MMCMXVI 7
17 289 CCLXXXIX 8
22 484 CDLXXXIV 8
37 1369 MCCCLXIX 8
41 1681 MDCLXXXI 8
42 1764 MDCCLXIV 8
44 1936 MCMXXXVI 8
53 2809 MMDCCCIX 8
28 784 DCCLXXXIV 9
43 1849 MDCCCXLIX 9
56 3136 MMMCXXXVI 9
57 3249 MMMCCXLIX 9
61 3721 MMMDCCXXI 9
63 3969 MMMCMLXIX 9
58 3364 MMMCCCLXIV 10
59 3481 MMMCDLXXXI 10
62 3844 MMMDCCCXLIV 11
is the output of the following program, sorted on length of representation (major) and n (minor), with heading and blank lines between lengths added manually:
OPEN "crossnm2.txt" FOR OUTPUT AS #2
FOR sr = 1 TO 63
n = sr * sr
q = n \ 1000: r = n MOD 1000
r$ = STRING$(q, "M")
n2 = r
q = n2 \ 100: r = n2 MOD 100
SELECT CASE q
CASE 9: r$ = r$ + "CM"
CASE 5 TO 8: r$ = r$ + "D" + STRING$(q - 5, "C")
CASE 4: r$ = r$ + "CD"
CASE 0 TO 3: r$ = r$ + STRING$(q, "C")
END SELECT
n2 = r
q = n2 \ 10: r = n2 MOD 10
SELECT CASE q
CASE 9: r$ = r$ + "XC"
CASE 5 TO 8: r$ = r$ + "L" + STRING$(q - 5, "X")
CASE 4: r$ = r$ + "XL"
CASE 0 TO 3: r$ = r$ + STRING$(q, "X")
END SELECT
n2 = r
q = n2
SELECT CASE q
CASE 9: r$ = r$ + "IX"
CASE 5 TO 8: r$ = r$ + "V" + STRING$(q - 5, "I")
CASE 4: r$ = r$ + "IV"
CASE 0 TO 3: r$ = r$ + STRING$(q, "I")
END SELECT
PRINT USING "## ##### \ \ ##"; sr; n; r$; LEN(r$)
PRINT #2, USING "## ##### \ \ ##"; sr; n; r$; LEN(r$)
NEXT sr
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Posted by Charlie
on 2013-05-27 11:01:48 |
helpful table
