Coding challenge just for fun

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algorithm

Hi all,
Here is a little coding challenge:
- Solve this Sudoku
It is a 4 interleaved Sudoku which verify the '>' relations between cells.
Sudoku.png
I solved this puzzle years ago.
The 'coding challenge' tags have been closed.

What I have tried:

[Update]
By popular demand, here is my code for the edges of cells.

init_HV( 1, "      <><><><>      ", "      AVAVAAAVV      ");
init_HV( 2, "      ><><<>><      ", "      AAAVVVVAV      ");
init_HV( 3, "      <>>><><<      ", "      VVVAAVAAV      ");

init_HV( 4, "      >><<><<>      ", "      AAAVVAVVA      ");
init_HV( 5, "      ><><<><>      ", "      VAVAAVAVV      ");
init_HV( 6, "      <><>><><      ", "      AVAAAVVAV      ");

init_HV( 7, "><><<<><<>><>><<><<<", "AAAAAVVVVAAVVAAAAAVVV");
init_HV( 8, "><><><>><>><<<<<>>><", "VAVAVAVAVVVAAAAVVVAAA");
init_HV( 9, ">><><><><<><><><><><", "VVVVVVAAA   VAVVVAAAA");

init_HV(10, ">><><><<    <>><<<><", "VVAAAVAVV   AAVAAAVVA");
init_HV(11, "<<><><><    <><<<><<", "AAVVVAAAV   VVAAAAAAV");
init_HV(12, "<<>><>><    ><<<<><>", "AAVAAVVAV   AAAVVVAAV");

init_HV(13, "<><<><>><><>><>><<<>", "VAVVVAVAAVAVVAAAAAVVV");
init_HV(14, "<>><>><>><>><<<><><>", "VAVAVVAVAAVVAVVVAAAVV");
init_HV(15, "<><<><<<>><<>>><<>>>", "      AVVVAAVAA      ");

init_HV(16, "      ><><<<<>      ", "      VAAAAAVVV      ");
init_HV(17, "      <<><<><>      ", "      AVVAAAAVA      ");
init_HV(18, "      ><<<<>><      ", "      AAAAVVAVV      ");

init_HV(19, "      >><><>><      ", "      VAAVAVVAA      ");
init_HV(20, "      ><><><<>      ", "      VVVAVAAAA      ");
init_HV(21, "      <<<><<<<      ", "                     ");