+--+--+--+
|2 | 6| 4|
+--+--+--+
|2 | 0| 0|
+--+--+--+

The 2x3 grid given above has an interesting property: If you read horizontally, you get 264 and 200, where 264×200 = 52800. If you read vertically, you get 22, 60 and 40, where 22×60×40 = 52800.

So the horizontal product is the same as the vertical product. Find a 2×4 grid with the same property using 8 different digits.

+--+--+--+--+
| 2 | 7 | 9 | 3 |
+--+--+--+--+
| 1 | 6 | 8 | 0 |
----------------
for a in '1234567890':
    for b in '1234567890':
        if a==b:
            continue
        for c in '1234567890':
            if a==c or b==c:
                continue
            for d in '1234567890':
                if a==d or b==d or c==d:
                    continue
                for e in '1234567890':
                    if a==e or b==e or c==e or d==e:
                        continue
                    for f in '1234567890':
                        if a==f or b==f or c==f or d==f or e==f:
                            continue
                        for g in '1234567890':
                            if a==g or b==g or c==g or d==g or e==g or f==g:
                                continue
                            for h in '1234567890':
                                if a==h or b==h or c==h or d==h or e==h or f==h or g==h:
                                    continue
                                lhs = int(a+b+c+d)*int(e+f+g+h)
                                rhs = int(a+e)*int(b+f)*int(c+g)*int(d+h)
                                if lhs == rhs:

Posted by Larry on 2023-10-04 08:17:05