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 Crossnumber IV (Posted on 2014-08-18)
```      A     B     C
+-----+-----+-----+
A |     |     |     |
+-----+-----+-----+
B |     |     |     |
+-----+-----+-----+
C |     |     |     |
+-----+-----+-----+```
Complete the crossnumber, using six 3-digit positive integers and having regard to the following clues:
```
ACROSS

A. A number that is both a square and a cube.
B. A perfect square
C. A perfect square

DOWN

A. A triangular number.
B. A perfect square
C. A perfect square```

 No Solution Yet Submitted by K Sengupta Rating: 1.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 attempt without leading zeroes | Comment 2 of 3 |
A Across must be 729.

A Down can then be 703,741 or 780, but 703 would cause B Across to be really only a 2-digit number as it would have a leading zero. The same holds for 780 and C Across. So A Down is 741.

7 2 9
4
1

The rest are perfect squares.

Either

`7 2 9           7 2 94 0 0	or	4   6  (no valid 4-6)1   0		1   1`
Only the left side is valid so far, but no square will fit B Down.

 Posted by Charlie on 2014-08-18 12:24:28

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