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  1. or download this
    @bar=sort {zc($a) <=> zc($b)} 
          permute([0..2],[0..2],[0..2],[0..2],[0..2]);
    ...
      return (grep /0/,@a[0..1])+(grep /0/,@a[3..4]);
    }
    
  2. or download this
    push @list,permute(nz($a),nz($b),$c,nz($d),nz($e));
    push @list,permute([0],nz($b),$c,nz($d),nz($e));
    ...
    push @list,permute(nz($a),nz($b),$c,nz($d),[0]);
    push @list,permute([0],[0],$c,nz($d),nz($e));
    etc...