Ten double sided cards each have a different single digit printed on each side. When the cards are arranged in a row a pandigital square, P, is formed. When the cards are turned over and kept in the same order the result is a different pandigital square Q. In the clues the subscripts refer to the cards in positions 1 to 10 respectively. For example if P was 6154873209 then P_{25} would be the four digit string 1548. In order for solvers to identify P and Q, the grid, which has 180° rotational symmetry, should be completed. In the grid no entry starts with zero and all are different. P and Q should be written underneath the grid.

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Across | Down | ||

1 | P_{13} + P_{89} |
1 | P_{3} x P_{6} |

3 | P_{10} x P_{10} = Q_{12} |
2 | Q_{10} x Q_{34} |

5 | Q_{47} |
3 | Q_{8} x Q_{23} |

7 | Q_{3} x Q_{4} x Q_{5} |
4 | P_{6} (P_{7} + P_{8}) |

8 | P_{4} (Q_{12} – P_{12} ) / Q_{9} |
6 | P_{46} + Q_{46} + P_{34} + Q_{67} |

9 | P_{36} |
7 | P_{24} + Q_{68} – Q_{10} |

12 | P_{2} x P_{7} |
8 | Q_{10} x Q_{12} |

13 | P_{79} |
10 | Q_{4} x Q_{4} = Q_{34} |

11 | P_{1} x P_{2} x P_{3} x P_{4} |