     1,1,1,1,1,1,1,1, //0
     1,2,3,0,0,0,0,0, //0
     1,3,2,0,0,0,0,0, //0
     1,0,0,2,0,0,0,0, //0
     1,0,0,0,2,0,0,0, //0
     1,0,0,0,0,2,0,0, //0
     1,0,0,0,0,0,2,0, //0
     1,0,0,0,0,0,0,2, //0
     1,1,1,1,1,1,1,1, //1
     2,1,2,3,0,0,0,0, //1
     3,1,3,2,0,0,0,0, //1
     0,1,0,0,2,0,0,0, //1
     0,1,0,0,0,2,0,0, //1
     0,1,0,0,0,0,2,0, //1
     0,1,0,0,0,0,0,2, //1
     0,1,0,0,0,0,0,0, //1
     1,1,1,1,1,1,1,1, //2
     3,2,1,2,3,0,0,0, //2
     2,3,1,3,2,0,0,0, //2
     0,0,1,0,0,2,0,0, //2
     0,0,1,0,0,0,2,0, //2
     0,0,1,0,0,0,0,2, //2
     0,0,1,0,0,0,0,0, //2
     0,0,1,0,0,0,0,0, //2
     1,1,1,1,1,1,1,1, //3
     0,3,2,1,2,3,0,0, //3
     0,2,3,1,3,2,0,0, //3
     2,0,0,1,0,0,2,0, //3
     0,0,0,1,0,0,0,2, //3
     0,0,0,1,0,0,0,0, //3
     0,0,0,1,0,0,0,0, //3
     0,0,0,1,0,0,0,0, //3
     1,1,1,1,1,1,1,1, //4
     0,0,3,2,1,2,3,0, //4
     0,0,2,3,1,3,2,0, //4
     0,2,0,0,1,0,0,2, //4
     2,0,0,0,1,0,0,0, //4
     0,0,0,0,1,0,0,0, //4
     0,0,0,0,1,0,0,0, //4
     0,0,0,0,1,0,0,0, //4
     1,1,1,1,1,1,1,1, //5
     0,0,0,3,2,1,2,3, //5
     0,0,0,2,3,1,3,2, //5
     0,0,2,0,0,1,0,0, //5
     0,2,0,0,0,1,0,0, //5
     2,0,0,0,0,1,0,0, //5
     0,0,0,0,0,1,0,0, //5
     0,0,0,0,0,1,0,0, //5
     1,1,1,1,1,1,1,1, //6
     0,0,0,0,3,2,1,2, //6
     0,0,0,0,2,3,1,3, //6
     0,0,0,2,0,0,1,0, //6
     0,0,2,0,0,0,1,0, //6
     0,2,0,0,0,0,1,0, //6
     2,0,0,0,0,0,1,0, //6
     0,0,0,0,0,0,1,0, //6
     1,1,1,1,1,1,1,1, //7
     0,0,0,0,0,3,2,1, //7
     0,0,0,0,0,2,3,1, //7
     0,0,0,0,2,0,0,1, //7
     0,0,0,2,0,0,0,1, //7
     0,0,2,0,0,0,0,1, //7
     0,2,0,0,0,0,0,1, //7
     2,0,0,0,0,0,0,1, //7
     1,2,3,0,0,0,0,0, //8
     1,1,1,1,1,1,1,1, //8
     1,2,3,0,0,0,0,0, //8
     1,3,2,0,0,0,0,0, //8
     1,0,0,2,0,0,0,0, //8
     1,0,0,0,2,0,0,0, //8
     1,0,0,0,0,2,0,0, //8
     1,0,0,0,0,0,2,0, //8
     2,1,2,3,0,0,0,0, //9
     1,1,1,1,1,1,1,1, //9
     2,1,2,3,0,0,0,0, //9
     3,1,3,2,0,0,0,0, //9
     0,1,0,0,2,0,0,0, //9
     0,1,0,0,0,2,0,0, //9
     0,1,0,0,0,0,2,0, //9
     0,1,0,0,0,0,0,2, //9
     3,2,1,2,3,0,0,0, //10
     1,1,1,1,1,1,1,1, //10
     3,2,1,2,3,0,0,0, //10
     2,3,1,3,2,0,0,0, //10
     0,0,1,0,0,2,0,0, //10
     0,0,1,0,0,0,2,0, //10
     0,0,1,0,0,0,0,2, //10
     0,0,1,0,0,0,0,0, //10
     0,3,2,1,2,3,0,0, //11
     1,1,1,1,1,1,1,1, //11
     0,3,2,1,2,3,0,0, //11
     0,2,3,1,3,2,0,0, //11
     2,0,0,1,0,0,2,0, //11
     0,0,0,1,0,0,0,2, //11
     0,0,0,1,0,0,0,0, //11
     0,0,0,1,0,0,0,0, //11
     0,0,3,2,1,2,3,0, //12
     1,1,1,1,1,1,1,1, //12
     0,0,3,2,1,2,3,0, //12
     0,0,2,3,1,3,2,0, //12
     0,2,0,0,1,0,0,2, //12
     2,0,0,0,1,0,0,0, //12
     0,0,0,0,1,0,0,0, //12
     0,0,0,0,1,0,0,0, //12
     0,0,0,3,2,1,2,3, //13
     1,1,1,1,1,1,1,1, //13
     0,0,0,3,2,1,2,3, //13
     0,0,0,2,3,1,3,2, //13
     0,0,2,0,0,1,0,0, //13
     0,2,0,0,0,1,0,0, //13
     2,0,0,0,0,1,0,0, //13
     0,0,0,0,0,1,0,0, //13
     0,0,0,0,3,2,1,2, //14
     1,1,1,1,1,1,1,1, //14
     0,0,0,0,3,2,1,2, //14
     0,0,0,0,2,3,1,3, //14
     0,0,0,2,0,0,1,0, //14
     0,0,2,0,0,0,1,0, //14
     0,2,0,0,0,0,1,0, //14
     2,0,0,0,0,0,1,0, //14
     0,0,0,0,0,3,2,1, //15
     1,1,1,1,1,1,1,1, //15
     0,0,0,0,0,3,2,1, //15
     0,0,0,0,0,2,3,1, //15
     0,0,0,0,2,0,0,1, //15
     0,0,0,2,0,0,0,1, //15
     0,0,2,0,0,0,0,1, //15
     0,2,0,0,0,0,0,1, //15
     1,3,2,0,0,0,0,0, //16
     1,2,3,0,0,0,0,0, //16
     1,1,1,1,1,1,1,1, //16
     1,2,3,0,0,0,0,0, //16
     1,3,2,0,0,0,0,0, //16
     1,0,0,2,0,0,0,0, //16
     1,0,0,0,2,0,0,0, //16
     1,0,0,0,0,2,0,0, //16
     3,1,3,2,0,0,0,0, //17
     2,1,2,3,0,0,0,0, //17
     1,1,1,1,1,1,1,1, //17
     2,1,2,3,0,0,0,0, //17
     3,1,3,2,0,0,0,0, //17
     0,1,0,0,2,0,0,0, //17
     0,1,0,0,0,2,0,0, //17
     0,1,0,0,0,0,2,0, //17
     2,3,1,3,2,0,0,0, //18
     3,2,1,2,3,0,0,0, //18
     1,1,1,1,1,1,1,1, //18
     3,2,1,2,3,0,0,0, //18
     2,3,1,3,2,0,0,0, //18
     0,0,1,0,0,2,0,0, //18
     0,0,1,0,0,0,2,0, //18
     0,0,1,0,0,0,0,2, //18
     0,2,3,1,3,2,0,0, //19
     0,3,2,1,2,3,0,0, //19
     1,1,1,1,1,1,1,1, //19
     0,3,2,1,2,3,0,0, //19
     0,2,3,1,3,2,0,0, //19
     2,0,0,1,0,0,2,0, //19
     0,0,0,1,0,0,0,2, //19
     0,0,0,1,0,0,0,0, //19
     0,0,2,3,1,3,2,0, //20
     0,0,3,2,1,2,3,0, //20
     1,1,1,1,1,1,1,1, //20
     0,0,3,2,1,2,3,0, //20
     0,0,2,3,1,3,2,0, //20
     0,2,0,0,1,0,0,2, //20
     2,0,0,0,1,0,0,0, //20
     0,0,0,0,1,0,0,0, //20
     0,0,0,2,3,1,3,2, //21
     0,0,0,3,2,1,2,3, //21
     1,1,1,1,1,1,1,1, //21
     0,0,0,3,2,1,2,3, //21
     0,0,0,2,3,1,3,2, //21
     0,0,2,0,0,1,0,0, //21
     0,2,0,0,0,1,0,0, //21
     2,0,0,0,0,1,0,0, //21
     0,0,0,0,2,3,1,3, //22
     0,0,0,0,3,2,1,2, //22
     1,1,1,1,1,1,1,1, //22
     0,0,0,0,3,2,1,2, //22
     0,0,0,0,2,3,1,3, //22
     0,0,0,2,0,0,1,0, //22
     0,0,2,0,0,0,1,0, //22
     0,2,0,0,0,0,1,0, //22
     0,0,0,0,0,2,3,1, //23
     0,0,0,0,0,3,2,1, //23
     1,1,1,1,1,1,1,1, //23
     0,0,0,0,0,3,2,1, //23
     0,0,0,0,0,2,3,1, //23
     0,0,0,0,2,0,0,1, //23
     0,0,0,2,0,0,0,1, //23
     0,0,2,0,0,0,0,1, //23
     1,0,0,2,0,0,0,0, //24
     1,3,2,0,0,0,0,0, //24
     1,2,3,0,0,0,0,0, //24
     1,1,1,1,1,1,1,1, //24
     1,2,3,0,0,0,0,0, //24
     1,3,2,0,0,0,0,0, //24
     1,0,0,2,0,0,0,0, //24
     1,0,0,0,2,0,0,0, //24
     0,1,0,0,2,0,0,0, //25
     3,1,3,2,0,0,0,0, //25
     2,1,2,3,0,0,0,0, //25
     1,1,1,1,1,1,1,1, //25
     2,1,2,3,0,0,0,0, //25
     3,1,3,2,0,0,0,0, //25
     0,1,0,0,2,0,0,0, //25
     0,1,0,0,0,2,0,0, //25
     0,0,1,0,0,2,0,0, //26
     2,3,1,3,2,0,0,0, //26
     3,2,1,2,3,0,0,0, //26
     1,1,1,1,1,1,1,1, //26
     3,2,1,2,3,0,0,0, //26
     2,3,1,3,2,0,0,0, //26
     0,0,1,0,0,2,0,0, //26
     0,0,1,0,0,0,2,0, //26
     2,0,0,1,0,0,2,0, //27
     0,2,3,1,3,2,0,0, //27
     0,3,2,1,2,3,0,0, //27
     1,1,1,1,1,1,1,1, //27
     0,3,2,1,2,3,0,0, //27
     0,2,3,1,3,2,0,0, //27
     2,0,0,1,0,0,2,0, //27
     0,0,0,1,0,0,0,2, //27
     0,2,0,0,1,0,0,2, //28
     0,0,2,3,1,3,2,0, //28
     0,0,3,2,1,2,3,0, //28
     1,1,1,1,1,1,1,1, //28
     0,0,3,2,1,2,3,0, //28
     0,0,2,3,1,3,2,0, //28
     0,2,0,0,1,0,0,2, //28
     2,0,0,0,1,0,0,0, //28
     0,0,2,0,0,1,0,0, //29
     0,0,0,2,3,1,3,2, //29
     0,0,0,3,2,1,2,3, //29
     1,1,1,1,1,1,1,1, //29
     0,0,0,3,2,1,2,3, //29
     0,0,0,2,3,1,3,2, //29
     0,0,2,0,0,1,0,0, //29
     0,2,0,0,0,1,0,0, //29
     0,0,0,2,0,0,1,0, //30
     0,0,0,0,2,3,1,3, //30
     0,0,0,0,3,2,1,2, //30
     1,1,1,1,1,1,1,1, //30
     0,0,0,0,3,2,1,2, //30
     0,0,0,0,2,3,1,3, //30
     0,0,0,2,0,0,1,0, //30
     0,0,2,0,0,0,1,0, //30
     0,0,0,0,2,0,0,1, //31
     0,0,0,0,0,2,3,1, //31
     0,0,0,0,0,3,2,1, //31
     1,1,1,1,1,1,1,1, //31
     0,0,0,0,0,3,2,1, //31
     0,0,0,0,0,2,3,1, //31
     0,0,0,0,2,0,0,1, //31
     0,0,0,2,0,0,0,1, //31
     1,0,0,0,2,0,0,0, //32
     1,0,0,2,0,0,0,0, //32
     1,3,2,0,0,0,0,0, //32
     1,2,3,0,0,0,0,0, //32
     1,1,1,1,1,1,1,1, //32
     1,2,3,0,0,0,0,0, //32
     1,3,2,0,0,0,0,0, //32
     1,0,0,2,0,0,0,0, //32
     0,1,0,0,0,2,0,0, //33
     0,1,0,0,2,0,0,0, //33
     3,1,3,2,0,0,0,0, //33
     2,1,2,3,0,0,0,0, //33
     1,1,1,1,1,1,1,1, //33
     2,1,2,3,0,0,0,0, //33
     3,1,3,2,0,0,0,0, //33
     0,1,0,0,2,0,0,0, //33
     0,0,1,0,0,0,2,0, //34
     0,0,1,0,0,2,0,0, //34
     2,3,1,3,2,0,0,0, //34
     3,2,1,2,3,0,0,0, //34
     1,1,1,1,1,1,1,1, //34
     3,2,1,2,3,0,0,0, //34
     2,3,1,3,2,0,0,0, //34
     0,0,1,0,0,2,0,0, //34
     0,0,0,1,0,0,0,2, //35
     2,0,0,1,0,0,2,0, //35
     0,2,3,1,3,2,0,0, //35
     0,3,2,1,2,3,0,0, //35
     1,1,1,1,1,1,1,1, //35
     0,3,2,1,2,3,0,0, //35
     0,2,3,1,3,2,0,0, //35
     2,0,0,1,0,0,2,0, //35
     2,0,0,0,1,0,0,0, //36
     0,2,0,0,1,0,0,2, //36
     0,0,2,3,1,3,2,0, //36
     0,0,3,2,1,2,3,0, //36
     1,1,1,1,1,1,1,1, //36
     0,0,3,2,1,2,3,0, //36
     0,0,2,3,1,3,2,0, //36
     0,2,0,0,1,0,0,2, //36
     0,2,0,0,0,1,0,0, //37
     0,0,2,0,0,1,0,0, //37
     0,0,0,2,3,1,3,2, //37
     0,0,0,3,2,1,2,3, //37
     1,1,1,1,1,1,1,1, //37
     0,0,0,3,2,1,2,3, //37
     0,0,0,2,3,1,3,2, //37
     0,0,2,0,0,1,0,0, //37
     0,0,2,0,0,0,1,0, //38
     0,0,0,2,0,0,1,0, //38
     0,0,0,0,2,3,1,3, //38
     0,0,0,0,3,2,1,2, //38
     1,1,1,1,1,1,1,1, //38
     0,0,0,0,3,2,1,2, //38
     0,0,0,0,2,3,1,3, //38
     0,0,0,2,0,0,1,0, //38
     0,0,0,2,0,0,0,1, //39
     0,0,0,0,2,0,0,1, //39
     0,0,0,0,0,2,3,1, //39
     0,0,0,0,0,3,2,1, //39
     1,1,1,1,1,1,1,1, //39
     0,0,0,0,0,3,2,1, //39
     0,0,0,0,0,2,3,1, //39
     0,0,0,0,2,0,0,1, //39
     1,0,0,0,0,2,0,0, //40
     1,0,0,0,2,0,0,0, //40
     1,0,0,2,0,0,0,0, //40
     1,3,2,0,0,0,0,0, //40
     1,2,3,0,0,0,0,0, //40
     1,1,1,1,1,1,1,1, //40
     1,2,3,0,0,0,0,0, //40
     1,3,2,0,0,0,0,0, //40
     0,1,0,0,0,0,2,0, //41
     0,1,0,0,0,2,0,0, //41
     0,1,0,0,2,0,0,0, //41
     3,1,3,2,0,0,0,0, //41
     2,1,2,3,0,0,0,0, //41
     1,1,1,1,1,1,1,1, //41
     2,1,2,3,0,0,0,0, //41
     3,1,3,2,0,0,0,0, //41
     0,0,1,0,0,0,0,2, //42
     0,0,1,0,0,0,2,0, //42
     0,0,1,0,0,2,0,0, //42
     2,3,1,3,2,0,0,0, //42
     3,2,1,2,3,0,0,0, //42
     1,1,1,1,1,1,1,1, //42
     3,2,1,2,3,0,0,0, //42
     2,3,1,3,2,0,0,0, //42
     0,0,0,1,0,0,0,0, //43
     0,0,0,1,0,0,0,2, //43
     2,0,0,1,0,0,2,0, //43
     0,2,3,1,3,2,0,0, //43
     0,3,2,1,2,3,0,0, //43
     1,1,1,1,1,1,1,1, //43
     0,3,2,1,2,3,0,0, //43
     0,2,3,1,3,2,0,0, //43
     0,0,0,0,1,0,0,0, //44
     2,0,0,0,1,0,0,0, //44
     0,2,0,0,1,0,0,2, //44
     0,0,2,3,1,3,2,0, //44
     0,0,3,2,1,2,3,0, //44
     1,1,1,1,1,1,1,1, //44
     0,0,3,2,1,2,3,0, //44
     0,0,2,3,1,3,2,0, //44
     2,0,0,0,0,1,0,0, //45
     0,2,0,0,0,1,0,0, //45
     0,0,2,0,0,1,0,0, //45
     0,0,0,2,3,1,3,2, //45
     0,0,0,3,2,1,2,3, //45
     1,1,1,1,1,1,1,1, //45
     0,0,0,3,2,1,2,3, //45
     0,0,0,2,3,1,3,2, //45
     0,2,0,0,0,0,1,0, //46
     0,0,2,0,0,0,1,0, //46
     0,0,0,2,0,0,1,0, //46
     0,0,0,0,2,3,1,3, //46
     0,0,0,0,3,2,1,2, //46
     1,1,1,1,1,1,1,1, //46
     0,0,0,0,3,2,1,2, //46
     0,0,0,0,2,3,1,3, //46
     0,0,2,0,0,0,0,1, //47
     0,0,0,2,0,0,0,1, //47
     0,0,0,0,2,0,0,1, //47
     0,0,0,0,0,2,3,1, //47
     0,0,0,0,0,3,2,1, //47
     1,1,1,1,1,1,1,1, //47
     0,0,0,0,0,3,2,1, //47
     0,0,0,0,0,2,3,1, //47
     1,0,0,0,0,0,2,0, //48
     1,0,0,0,0,2,0,0, //48
     1,0,0,0,2,0,0,0, //48
     1,0,0,2,0,0,0,0, //48
     1,3,2,0,0,0,0,0, //48
     1,2,3,0,0,0,0,0, //48
     1,1,1,1,1,1,1,1, //48
     1,2,3,0,0,0,0,0, //48
     0,1,0,0,0,0,0,2, //49
     0,1,0,0,0,0,2,0, //49
     0,1,0,0,0,2,0,0, //49
     0,1,0,0,2,0,0,0, //49
     3,1,3,2,0,0,0,0, //49
     2,1,2,3,0,0,0,0, //49
     1,1,1,1,1,1,1,1, //49
     2,1,2,3,0,0,0,0, //49
     0,0,1,0,0,0,0,0, //50
     0,0,1,0,0,0,0,2, //50
     0,0,1,0,0,0,2,0, //50
     0,0,1,0,0,2,0,0, //50
     2,3,1,3,2,0,0,0, //50
     3,2,1,2,3,0,0,0, //50
     1,1,1,1,1,1,1,1, //50
     3,2,1,2,3,0,0,0, //50
     0,0,0,1,0,0,0,0, //51
     0,0,0,1,0,0,0,0, //51
     0,0,0,1,0,0,0,2, //51
     2,0,0,1,0,0,2,0, //51
     0,2,3,1,3,2,0,0, //51
     0,3,2,1,2,3,0,0, //51
     1,1,1,1,1,1,1,1, //51
     0,3,2,1,2,3,0,0, //51
     0,0,0,0,1,0,0,0, //52
     0,0,0,0,1,0,0,0, //52
     2,0,0,0,1,0,0,0, //52
     0,2,0,0,1,0,0,2, //52
     0,0,2,3,1,3,2,0, //52
     0,0,3,2,1,2,3,0, //52
     1,1,1,1,1,1,1,1, //52
     0,0,3,2,1,2,3,0, //52
     0,0,0,0,0,1,0,0, //53
     2,0,0,0,0,1,0,0, //53
     0,2,0,0,0,1,0,0, //53
     0,0,2,0,0,1,0,0, //53
     0,0,0,2,3,1,3,2, //53
     0,0,0,3,2,1,2,3, //53
     1,1,1,1,1,1,1,1, //53
     0,0,0,3,2,1,2,3, //53
     2,0,0,0,0,0,1,0, //54
     0,2,0,0,0,0,1,0, //54
     0,0,2,0,0,0,1,0, //54
     0,0,0,2,0,0,1,0, //54
     0,0,0,0,2,3,1,3, //54
     0,0,0,0,3,2,1,2, //54
     1,1,1,1,1,1,1,1, //54
     0,0,0,0,3,2,1,2, //54
     0,2,0,0,0,0,0,1, //55
     0,0,2,0,0,0,0,1, //55
     0,0,0,2,0,0,0,1, //55
     0,0,0,0,2,0,0,1, //55
     0,0,0,0,0,2,3,1, //55
     0,0,0,0,0,3,2,1, //55
     1,1,1,1,1,1,1,1, //55
     0,0,0,0,0,3,2,1, //55
     1,0,0,0,0,0,0,2, //56
     1,0,0,0,0,0,2,0, //56
     1,0,0,0,0,2,0,0, //56
     1,0,0,0,2,0,0,0, //56
     1,0,0,2,0,0,0,0, //56
     1,3,2,0,0,0,0,0, //56
     1,2,3,0,0,0,0,0, //56
     1,1,1,1,1,1,1,1, //56
     0,1,0,0,0,0,0,0, //57
     0,1,0,0,0,0,0,2, //57
     0,1,0,0,0,0,2,0, //57
     0,1,0,0,0,2,0,0, //57
     0,1,0,0,2,0,0,0, //57
     3,1,3,2,0,0,0,0, //57
     2,1,2,3,0,0,0,0, //57
     1,1,1,1,1,1,1,1, //57
     0,0,1,0,0,0,0,0, //58
     0,0,1,0,0,0,0,0, //58
     0,0,1,0,0,0,0,2, //58
     0,0,1,0,0,0,2,0, //58
     0,0,1,0,0,2,0,0, //58
     2,3,1,3,2,0,0,0, //58
     3,2,1,2,3,0,0,0, //58
     1,1,1,1,1,1,1,1, //58
     0,0,0,1,0,0,0,0, //59
     0,0,0,1,0,0,0,0, //59
     0,0,0,1,0,0,0,0, //59
     0,0,0,1,0,0,0,2, //59
     2,0,0,1,0,0,2,0, //59
     0,2,3,1,3,2,0,0, //59
     0,3,2,1,2,3,0,0, //59
     1,1,1,1,1,1,1,1, //59
     0,0,0,0,1,0,0,0, //60
     0,0,0,0,1,0,0,0, //60
     0,0,0,0,1,0,0,0, //60
     2,0,0,0,1,0,0,0, //60
     0,2,0,0,1,0,0,2, //60
     0,0,2,3,1,3,2,0, //60
     0,0,3,2,1,2,3,0, //60
     1,1,1,1,1,1,1,1, //60
     0,0,0,0,0,1,0,0, //61
     0,0,0,0,0,1,0,0, //61
     2,0,0,0,0,1,0,0, //61
     0,2,0,0,0,1,0,0, //61
     0,0,2,0,0,1,0,0, //61
     0,0,0,2,3,1,3,2, //61
     0,0,0,3,2,1,2,3, //61
     1,1,1,1,1,1,1,1, //61
     0,0,0,0,0,0,1,0, //62
     2,0,0,0,0,0,1,0, //62
     0,2,0,0,0,0,1,0, //62
     0,0,2,0,0,0,1,0, //62
     0,0,0,2,0,0,1,0, //62
     0,0,0,0,2,3,1,3, //62
     0,0,0,0,3,2,1,2, //62
     1,1,1,1,1,1,1,1, //62
     2,0,0,0,0,0,0,1, //63
     0,2,0,0,0,0,0,1, //63
     0,0,2,0,0,0,0,1, //63
     0,0,0,2,0,0,0,1, //63
     0,0,0,0,2,0,0,1, //63
     0,0,0,0,0,2,3,1, //63
     0,0,0,0,0,3,2,1, //63
     1,1,1,1,1,1,1,1, //63
