This file contains (9; 1;3,3) BTDs with different types.

{1,1,2}, {3,7,7}, {1,4,6}, {5,6,7}, {1,2,3}, {4,5,8}, {7,8,9}, {3,6,9}, {1,3,5}, {4,5,5}, {2,4,6}, {3,5,9}, {1,4,8}, {3,3,4}, {2,7,8}, {1,8,9}, {4,4,9}, {4,6,7}, {3,5,7}, {1,5,9}, {2,3,4}, {3,8,9}, {2,9,9}, {2,5,9}, {2,3,6}, {5,6,8}, {4,7,9}, {2,4,8}, {3,8,8}, {1,7,8}, {1,4,7}, {1,3,6}, {2,5,6}, {1,5,7}, {6,6,8}, {2,2,7}, {1,6,9}, {2,5,8}, {6,7,9},

(c2,c3)=(0,0)

***************************

{4,7,9}, {3,7,8}, {3,4,8}, {1,6,9}, {1,6,9}, {1,5,7}, {4,5,8}, {1,2,8}, {2,6,6}, {3,4,6}, {4,5,9}, {3,6,9}, {1,2,4}, {3,3,5}, {4,4,6}, {2,7,8}, {3,6,8}, {2,3,7}, {2,4,5}, {5,5,6}, {5,7,9}, {2,5,9}, {1,6,8}, {1,1,7}, {3,7,9}, {4,7,7}, {2,4,9}, {2,2,3}, {1,2,5}, {1,3,5}, {1,3,9}, {5,6,7}, {1,4,8}, {1,3,4}, {2,6,7}, {2,8,9}, {6,7,8}, {5,8,8}, {8,9,9},

(c2,c3)=(1,0)

***************************

{1,4,7}, {5,5,7}, {4,4,7}, {1,4,9}, {1,5,7}, {4,6,6}, {3,5,6}, {1,3,6}, {2,7,8}, {1,3,8}, {2,4,5}, {2,4,5}, {6,7,9}, {6,7,9}, {4,5,8}, {2,3,7}, {2,3,4}, {6,8,8}, {1,5,8}, {7,7,8}, {1,1,2}, {2,2,9}, {1,2,6}, {1,6,7}, {5,8,9}, {3,5,9}, {2,7,9}, {1,9,9}, {1,4,8}, {3,3,7}, {2,3,8}, {4,8,9}, {5,6,9}, {2,5,6}, {1,3,5}, {3,8,9}, {2,6,8}, {3,4,6}, {3,4,9},

(c2,c3)=(2,0)

***************************

{7,9,9}, {3,4,7}, {2,8,9}, {1,1,5}, {2,3,9}, {2,5,8}, {3,4,8}, {1,2,3}, {3,5,8}, {3,5,8}, {5,6,9}, {1,4,9}, {2,2,6}, {1,6,8}, {4,5,9}, {4,5,9}, {4,5,6}, {1,2,9}, {7,8,9}, {4,6,6}, {4,7,8}, {1,3,9}, {2,4,8}, {2,4,4}, {3,3,6}, {1,6,7}, {1,6,7}, {1,3,4}, {3,6,9}, {1,8,8}, {1,2,5}, {2,5,6}, {2,3,7}, {6,7,8}, {6,8,9}, {2,7,7}, {1,4,7}, {3,5,7}, {5,5,7},

(c2,c3)=(3,0)

***************************

{2,8,9}, {1,3,3}, {5,6,9}, {5,6,9}, {1,7,8}, {1,7,8}, {2,6,7}, {3,4,5}, {2,4,9}, {1,2,5}, {2,3,6}, {3,5,6}, {2,7,8}, {1,1,2}, {6,7,9}, {2,4,5}, {2,4,5}, {1,4,6}, {1,4,6}, {1,9,9}, {4,4,8}, {3,4,7}, {2,2,3}, {4,8,9}, {1,4,7}, {1,3,6}, {5,5,8}, {3,7,9}, {2,7,9}, {2,6,8}, {3,8,9}, {1,5,9}, {1,5,8}, {3,4,9}, {3,5,7}, {4,6,7}, {6,6,8}, {5,7,7}, {3,8,8},

(c2,c3)=(4,0)

***************************

{4,6,8}, {1,2,4}, {5,6,8}, {2,7,9}, {2,4,9}, {4,6,7}, {2,6,7}, {2,6,7}, {2,5,8}, {2,5,8}, {1,1,7}, {1,2,3}, {1,4,8}, {1,4,8}, {1,8,9}, {7,7,8}, {3,8,8}, {1,2,6}, {1,9,9}, {2,4,5}, {4,7,9}, {1,5,6}, {1,5,6}, {4,5,9}, {4,5,7}, {3,5,9}, {3,5,9}, {1,3,7}, {2,2,3}, {3,3,6}, {3,4,6}, {3,7,8}, {1,3,5}, {6,6,9}, {3,4,4}, {5,5,7}, {2,8,9}, {3,7,9}, {6,8,9},

(c2,c3)=(5,0)

***************************

{3,4,5}, {2,7,9}, {1,6,8}, {1,2,5}, {1,2,5}, {2,2,6}, {1,2,4}, {5,8,9}, {5,8,9}, {2,4,7}, {4,7,9}, {1,1,6}, {4,6,9}, {4,6,9}, {1,4,8}, {1,4,8}, {4,4,5}, {1,3,7}, {1,3,7}, {2,3,4}, {6,7,7}, {5,7,8}, {2,3,9}, {2,3,9}, {2,8,8}, {4,7,8}, {3,3,8}, {3,6,6}, {2,5,7}, {5,5,6}, {1,3,5}, {3,8,9}, {1,7,9}, {2,6,8}, {3,4,6}, {1,9,9}, {3,5,7}, {5,6,9}, {6,7,8},

(c2,c3)=(6,0)

***************************

{2,6,7}, {2,6,7}, {1,5,7}, {2,3,5}, {2,3,5}, {5,8,9}, {5,8,9}, {2,4,9}, {2,4,9}, {2,3,9}, {2,5,7}, {1,6,9}, {1,6,9}, {5,5,6}, {2,4,8}, {5,6,7}, {1,1,8}, {1,5,8}, {3,6,8}, {3,6,8}, {4,6,6}, {7,7,8}, {3,6,9}, {1,2,2}, {1,4,7}, {1,4,7}, {7,9,9}, {1,2,6}, {1,3,4}, {3,4,5}, {3,4,7}, {1,5,9}, {3,7,8}, {3,7,9}, {4,8,9}, {1,3,3}, {4,4,5}, {4,6,8}, {2,8,8},

(c2,c3)=(7,0)

***************************

{1,3,5}, {1,3,9}, {1,3,9}, {1,1,7}, {2,9,9}, {3,5,6}, {3,5,6}, {6,6,7}, {2,2,4}, {3,3,4}, {2,5,8}, {2,5,8}, {4,4,7}, {7,7,9}, {1,7,8}, {2,3,7}, {2,3,7}, {2,4,6}, {1,4,8}, {1,4,8}, {1,2,6}, {1,2,6}, {6,8,9}, {6,8,9}, {3,8,8}, {5,5,7}, {4,5,9}, {4,5,9}, {1,4,6}, {3,4,6}, {4,5,7}, {4,8,9}, {5,6,8}, {1,5,9}, {6,7,9}, {2,7,8}, {1,2,5}, {2,3,9}, {3,7,8},

(c2,c3)=(8,0)

***************************

{2,3,6}, {2,3,6}, {2,3,4}, {1,6,9}, {1,6,9}, {2,6,8}, {2,4,9}, {2,4,9}, {5,6,8}, {5,6,8}, {3,5,6}, {4,6,6}, {1,1,2}, {1,3,7}, {1,3,7}, {2,2,5}, {4,5,7}, {8,8,9}, {5,7,9}, {5,7,9}, {4,4,7}, {2,7,8}, {2,7,8}, {6,7,7}, {1,5,5}, {1,4,8}, {1,4,8}, {3,9,9}, {4,8,9}, {1,2,7}, {3,4,5}, {3,4,5}, {3,7,8}, {1,3,9}, {1,4,6}, {1,5,8}, {2,5,9}, {6,7,9}, {3,3,8},

(c2,c3)=(9,0)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {4,7,8}, {5,8,9}, {6,6,9}, {2,6,7}, {2,4,9}, {5,5,7}, {1,4,6}, {2,8,9}, {5,6,8}, {1,8,8}, {1,5,6}, {1,5,9}, {1,7,7}, {3,6,7}, {2,5,9}, {1,4,8}, {1,6,7}, {7,9,9}, {2,7,8}, {4,5,7}, {3,7,9}, {3,6,8}, {2,6,8}, {2,4,7}, {2,2,5}, {4,6,9}, {3,4,5}, {2,4,6}, {3,3,9}, {1,1,9}, {3,5,8}, {3,7,8}, {1,4,5}, {4,8,9}, {3,5,6}, {3,4,4},

(c2,c3)=(0,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {2,8,9}, {2,5,8}, {4,8,8}, {3,4,4}, {2,2,9}, {3,7,8}, {1,5,6}, {1,6,8}, {2,6,6}, {3,6,8}, {4,7,7}, {3,5,8}, {3,7,9}, {1,6,7}, {1,1,9}, {2,4,5}, {6,8,9}, {3,3,9}, {5,6,7}, {1,7,9}, {6,7,9}, {5,5,9}, {4,9,9}, {2,4,7}, {1,4,8}, {1,7,8}, {1,4,5}, {1,4,5}, {2,7,8}, {2,4,6}, {2,5,7}, {3,4,6}, {3,5,6}, {3,5,7}, {4,6,9}, {5,8,9},

(c2,c3)=(1,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {2,6,8}, {1,5,6}, {1,4,5}, {1,4,7}, {3,5,9}, {3,6,7}, {3,3,5}, {2,2,6}, {1,4,9}, {2,5,9}, {5,5,6}, {3,4,8}, {1,1,7}, {2,4,7}, {2,7,8}, {5,7,7}, {3,8,9}, {6,7,9}, {4,5,9}, {3,4,6}, {3,4,6}, {1,6,9}, {1,6,9}, {1,5,8}, {4,8,9}, {4,6,7}, {3,7,9}, {2,5,7}, {3,7,8}, {2,5,8}, {2,4,4}, {4,5,8}, {6,6,8}, {7,8,9}, {1,8,8}, {2,9,9},

(c2,c3)=(2,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {2,2,9}, {4,8,9}, {1,6,7}, {7,7,9}, {3,5,7}, {2,6,6}, {1,8,9}, {3,5,8}, {1,6,8}, {5,6,7}, {6,9,9}, {2,4,5}, {7,8,8}, {1,7,8}, {1,1,4}, {4,4,5}, {2,4,7}, {2,4,7}, {3,4,8}, {4,7,9}, {1,5,9}, {1,5,9}, {3,5,9}, {3,4,9}, {2,5,8}, {2,5,8}, {1,4,6}, {2,8,9}, {3,3,7}, {3,4,6}, {2,6,7}, {3,6,8}, {4,6,8}, {1,5,7}, {3,6,9}, {5,5,6},

(c2,c3)=(3,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {2,7,8}, {1,1,8}, {1,4,6}, {2,4,6}, {3,7,9}, {6,8,8}, {2,5,7}, {3,3,6}, {1,5,8}, {4,6,7}, {6,8,9}, {1,4,5}, {3,4,8}, {3,4,8}, {2,2,8}, {3,7,8}, {4,4,5}, {3,5,6}, {5,6,6}, {5,8,9}, {1,5,7}, {1,6,7}, {1,6,7}, {1,4,9}, {3,5,9}, {3,5,9}, {7,7,9}, {1,9,9}, {3,4,7}, {2,6,9}, {2,6,9}, {2,5,5}, {2,4,9}, {2,4,7}, {4,8,9}, {5,7,8},

(c2,c3)=(4,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {2,4,9}, {1,7,7}, {5,9,9}, {1,5,5}, {1,4,6}, {1,4,6}, {4,5,7}, {1,8,9}, {1,5,6}, {1,4,7}, {1,1,9}, {2,7,9}, {2,7,9}, {3,7,8}, {3,7,8}, {3,4,4}, {2,6,8}, {2,6,8}, {6,8,9}, {3,6,7}, {1,8,8}, {2,5,6}, {3,8,9}, {4,5,8}, {4,5,8}, {2,5,7}, {4,7,8}, {5,6,7}, {2,2,4}, {3,4,9}, {3,5,9}, {4,6,9}, {2,5,8}, {6,7,9}, {3,3,5}, {3,6,6},

(c2,c3)=(5,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {3,6,9}, {3,6,9}, {3,4,6}, {1,4,7}, {1,4,7}, {1,5,5}, {3,3,5}, {7,7,9}, {1,1,9}, {2,4,9}, {2,4,9}, {5,6,7}, {5,6,7}, {5,9,9}, {6,6,8}, {2,4,7}, {3,4,8}, {3,4,8}, {1,4,6}, {2,2,6}, {2,7,8}, {1,6,8}, {2,5,8}, {2,5,8}, {2,5,9}, {2,6,7}, {3,7,8}, {8,8,9}, {4,4,5}, {4,5,8}, {4,6,9}, {1,5,6}, {1,8,9}, {1,7,8}, {3,5,7}, {3,7,9},

(c2,c3)=(6,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {5,5,7}, {1,6,6}, {2,7,7}, {4,5,8}, {4,5,8}, {1,5,9}, {1,5,9}, {2,9,9}, {3,4,4}, {2,2,4}, {6,8,9}, {2,4,5}, {2,5,6}, {2,5,6}, {4,6,9}, {4,6,9}, {1,1,4}, {5,6,7}, {1,7,8}, {1,7,8}, {3,6,7}, {3,6,7}, {3,8,9}, {3,8,9}, {2,6,8}, {3,5,9}, {1,5,8}, {4,7,8}, {3,3,5}, {3,4,7}, {1,4,6}, {3,6,8}, {1,7,9}, {2,7,9}, {2,8,8}, {4,7,9},

(c2,c3)=(7,1)

***************************

{2,4,6}, {2,4,6}, {2,2,5}, {4,4,8}, {1,1,6}, {6,8,9}, {6,8,9}, {1,3,4}, {1,3,4}, {1,3,4}, {1,5,5}, {1,2,8}, {1,2,8}, {1,7,9}, {1,7,9}, {4,5,9}, {4,5,9}, {2,3,7}, {2,3,7}, {3,3,9}, {5,7,8}, {5,7,8}, {3,5,6}, {3,5,6}, {4,7,7}, {1,2,9}, {1,5,6}, {1,7,8}, {2,3,5}, {2,4,7}, {2,6,8}, {3,6,7}, {3,8,9}, {4,5,8}, {4,6,9}, {5,7,9}, {6,6,7}, {3,8,8}, {2,9,9},

(c2,c3)=(8,1)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {3,5,9}, {5,6,9}, {6,7,9}, {2,4,7}, {3,4,9}, {3,5,6}, {2,7,8}, {1,1,8}, {2,4,9}, {1,7,9}, {2,2,5}, {1,9,9}, {4,4,6}, {2,6,7}, {5,5,7}, {3,4,6}, {2,6,8}, {4,8,9}, {2,4,8}, {4,7,8}, {2,6,9}, {1,6,8}, {3,8,9}, {7,8,9}, {3,6,7}, {1,6,6}, {3,3,8}, {5,6,8}, {5,8,8}, {1,7,7}, {2,5,9}, {3,4,7}, {3,5,7},

(c2,c3)=(0,2)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {2,6,8}, {2,6,9}, {4,6,7}, {1,1,7}, {3,5,5}, {3,5,6}, {3,6,9}, {4,7,7}, {1,6,6}, {2,2,4}, {1,9,9}, {2,4,9}, {2,6,7}, {3,3,4}, {2,5,9}, {4,8,9}, {4,8,9}, {5,7,8}, {2,5,7}, {1,7,9}, {4,4,6}, {3,8,9}, {3,7,9}, {5,6,9}, {1,6,8}, {3,4,8}, {5,6,8}, {5,7,9}, {2,5,8}, {3,6,7}, {2,7,8}, {1,8,8}, {3,7,8},

(c2,c3)=(1,2)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {1,1,6}, {5,7,9}, {6,8,9}, {2,2,5}, {2,7,8}, {2,7,8}, {2,4,6}, {2,5,7}, {3,4,9}, {3,5,9}, {4,7,9}, {3,4,7}, {1,9,9}, {2,4,8}, {5,5,6}, {2,6,9}, {2,6,9}, {1,7,7}, {6,6,7}, {3,5,7}, {3,5,6}, {1,6,8}, {3,3,8}, {1,8,9}, {5,8,9}, {3,4,6}, {3,6,8}, {3,7,9}, {4,4,8}, {4,6,7}, {1,7,8}, {5,8,8}, {2,4,9},

(c2,c3)=(2,2)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {3,6,8}, {3,5,6}, {2,5,7}, {3,4,9}, {4,6,7}, {1,6,9}, {1,1,8}, {3,7,8}, {2,8,8}, {3,3,9}, {2,5,8}, {6,7,8}, {2,5,6}, {4,8,9}, {4,8,9}, {4,7,7}, {2,6,7}, {2,4,6}, {5,6,9}, {5,5,8}, {3,5,7}, {3,5,7}, {6,8,9}, {2,7,9}, {1,7,9}, {1,7,9}, {1,7,8}, {3,4,6}, {3,4,8}, {2,2,9}, {1,6,6}, {2,4,4}, {5,9,9},

(c2,c3)=(3,2)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {2,8,9}, {2,8,9}, {4,6,7}, {4,9,9}, {2,5,6}, {4,4,7}, {3,5,7}, {3,7,9}, {3,7,9}, {2,7,7}, {3,8,9}, {5,7,8}, {5,6,8}, {1,6,9}, {1,6,9}, {2,6,6}, {3,6,8}, {1,7,9}, {2,5,7}, {2,4,9}, {3,4,6}, {3,4,6}, {5,6,9}, {1,7,8}, {5,5,9}, {1,1,8}, {3,4,8}, {3,3,5}, {1,6,7}, {2,2,4}, {2,5,8}, {6,7,8}, {4,8,8},

(c2,c3)=(4,2)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {3,4,7}, {2,4,7}, {2,4,7}, {3,4,9}, {2,2,8}, {2,5,6}, {2,5,6}, {5,7,8}, {5,7,8}, {7,7,9}, {2,6,8}, {3,5,5}, {3,3,8}, {1,1,7}, {3,4,6}, {1,6,9}, {4,8,8}, {1,8,9}, {1,8,9}, {2,5,9}, {5,6,8}, {6,6,7}, {3,6,9}, {3,6,9}, {3,5,7}, {3,7,8}, {4,4,6}, {4,8,9}, {2,4,9}, {1,6,7}, {1,6,8}, {2,7,9}, {5,9,9},

(c2,c3)=(5,2)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {3,5,8}, {3,5,8}, {3,4,9}, {3,4,9}, {2,4,7}, {2,4,7}, {3,3,6}, {4,4,8}, {3,7,7}, {1,6,8}, {1,6,8}, {2,5,6}, {2,5,6}, {1,1,7}, {4,6,6}, {5,5,9}, {6,7,9}, {6,7,9}, {2,2,9}, {3,5,6}, {3,4,7}, {3,8,9}, {2,4,6}, {4,8,9}, {2,5,7}, {5,7,8}, {5,7,9}, {6,7,8}, {1,6,9}, {1,7,8}, {2,8,9}, {1,9,9}, {2,8,8},

(c2,c3)=(6,2)

***************************

{3,3,8}, {3,4,4}, {3,6,9}, {3,6,9}, {1,4,7}, {1,4,7}, {1,4,7}, {2,7,9}, {6,6,7}, {1,9,9}, {1,1,2}, {1,3,5}, {1,3,5}, {1,3,5}, {5,7,7}, {7,8,9}, {7,8,9}, {5,7,8}, {1,6,8}, {1,6,8}, {5,5,9}, {2,4,9}, {2,4,9}, {2,2,6}, {3,6,7}, {1,8,9}, {2,5,8}, {2,5,8}, {3,4,9}, {5,6,9}, {4,5,6}, {4,5,6}, {2,3,7}, {2,3,7}, {1,2,6}, {2,3,8}, {2,4,5}, {4,6,8}, {4,8,8},

(c2,c3)=(7,2)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {1,6,7}, {1,6,7}, {1,6,7}, {2,2,6}, {4,4,6}, {2,5,8}, {4,6,8}, {2,6,9}, {5,6,8}, {3,4,8}, {3,6,6}, {5,7,7}, {5,8,9}, {1,1,9}, {2,5,7}, {3,4,7}, {2,5,9}, {3,4,9}, {2,7,8}, {4,7,9}, {6,9,9}, {3,3,5}, {3,7,8}, {1,8,9}, {3,5,9}, {2,4,7}, {5,5,6}, {2,4,9}, {7,8,9}, {2,4,8}, {3,7,9}, {3,6,8}, {1,8,8},

(c2,c3)=(0,3)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {1,6,7}, {1,6,7}, {1,6,7}, {2,4,8}, {3,4,6}, {3,4,8}, {3,4,8}, {6,8,9}, {2,6,9}, {7,8,9}, {3,7,9}, {2,5,9}, {5,6,8}, {4,6,6}, {1,8,8}, {3,6,9}, {5,5,7}, {2,2,7}, {4,4,7}, {7,7,8}, {2,6,8}, {2,5,6}, {1,1,9}, {3,5,6}, {3,3,7}, {1,8,9}, {2,4,9}, {2,4,7}, {5,7,9}, {3,5,8}, {2,5,8}, {3,5,9}, {4,9,9},

(c2,c3)=(1,3)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {1,6,7}, {1,6,7}, {1,6,7}, {3,8,9}, {6,6,8}, {7,9,9}, {3,5,7}, {1,8,9}, {2,2,9}, {5,8,9}, {1,1,9}, {2,5,6}, {2,4,8}, {2,6,8}, {3,5,8}, {1,8,8}, {3,4,6}, {3,4,6}, {3,7,7}, {3,5,6}, {5,7,8}, {2,5,5}, {4,6,9}, {3,3,9}, {2,4,7}, {2,4,7}, {3,4,8}, {5,6,9}, {2,7,8}, {2,6,9}, {4,4,9}, {4,7,8}, {5,7,9},

(c2,c3)=(2,3)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {1,6,7}, {1,6,7}, {1,6,7}, {2,5,7}, {4,4,6}, {2,4,7}, {4,8,9}, {1,1,8}, {1,8,9}, {3,4,8}, {1,9,9}, {5,7,7}, {2,4,9}, {2,4,9}, {2,5,6}, {6,6,9}, {2,2,6}, {3,4,6}, {2,7,8}, {4,7,8}, {7,8,9}, {3,6,8}, {3,6,8}, {2,5,9}, {3,3,5}, {3,7,9}, {3,7,9}, {3,5,9}, {5,6,8}, {5,6,9}, {3,4,7}, {5,5,8}, {2,8,8},

(c2,c3)=(3,3)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {3,5,9}, {3,5,9}, {1,6,7}, {1,6,7}, {1,6,7}, {1,4,5}, {1,4,5}, {1,4,5}, {5,7,8}, {4,7,9}, {3,7,8}, {3,7,8}, {2,2,6}, {2,7,9}, {2,6,9}, {3,7,9}, {4,6,9}, {6,8,8}, {3,4,8}, {3,3,6}, {2,5,7}, {2,5,7}, {4,7,7}, {2,5,8}, {2,4,8}, {2,4,8}, {3,4,4}, {1,8,9}, {1,9,9}, {5,8,9}, {6,8,9}, {1,1,8}, {3,5,6}, {2,4,9}, {5,5,6}, {4,6,6},

(c2,c3)=(4,3)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {1,6,7}, {1,6,7}, {1,6,7}, {1,1,9}, {3,3,9}, {3,6,8}, {3,6,8}, {2,6,6}, {2,5,9}, {2,5,9}, {2,2,4}, {3,5,7}, {3,5,7}, {7,7,9}, {2,7,8}, {2,7,8}, {4,4,7}, {5,7,8}, {4,8,9}, {4,8,9}, {3,5,8}, {3,4,6}, {3,4,7}, {3,4,9}, {2,4,6}, {4,6,8}, {5,5,6}, {5,6,9}, {2,5,8}, {2,7,9}, {1,8,8}, {1,8,9}, {6,9,9},

(c2,c3)=(5,3)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,8}, {1,4,8}, {1,4,8}, {1,6,7}, {1,6,7}, {1,6,7}, {3,3,5}, {3,4,6}, {3,4,6}, {1,1,9}, {5,6,9}, {5,6,9}, {2,4,5}, {2,4,5}, {7,8,9}, {1,5,5}, {2,2,6}, {4,4,7}, {4,9,9}, {5,7,8}, {5,7,8}, {2,8,8}, {2,7,9}, {2,7,9}, {3,8,9}, {3,8,9}, {3,4,9}, {4,5,6}, {2,4,7}, {3,5,7}, {2,5,8}, {1,5,9}, {6,6,8}, {3,6,8}, {2,6,9}, {3,7,7},

(c2,c3)=(6,3)

***************************

{2,4,9}, {5,5,7}, {2,7,8}, {2,8,9}, {3,6,7}, {4,6,7}, {1,6,7}, {1,4,8}, {1,4,8}, {1,4,8}, {6,8,8}, {4,5,7}, {1,7,9}, {5,6,9}, {5,6,9}, {5,6,9}, {3,5,8}, {3,5,8}, {3,5,8}, {1,3,7}, {2,2,7}, {1,2,5}, {1,2,5}, {1,2,5}, {3,4,6}, {3,7,9}, {2,4,6}, {1,1,9}, {2,3,9}, {4,7,9}, {1,6,6}, {2,3,4}, {3,4,9}, {2,3,6}, {2,6,8}, {4,4,5}, {1,3,3}, {8,9,9}, {7,7,8},

(c2,c3)=(0,4)

***************************

{2,8,9}, {1,4,8}, {4,6,9}, {5,6,9}, {5,6,9}, {1,4,4}, {7,9,9}, {1,2,5}, {1,2,5}, {1,2,5}, {2,3,8}, {3,5,6}, {5,8,9}, {1,3,9}, {1,3,9}, {1,3,9}, {1,1,8}, {2,4,6}, {1,6,7}, {1,6,7}, {1,6,7}, {4,8,9}, {3,4,6}, {4,5,7}, {4,5,7}, {4,5,7}, {2,7,9}, {2,4,9}, {6,6,8}, {2,2,6}, {3,7,7}, {3,3,5}, {2,3,7}, {3,4,8}, {3,6,8}, {5,5,8}, {2,3,4}, {2,7,8}, {7,8,8},

(c2,c3)=(1,4)

***************************

{2,4,9}, {2,6,7}, {3,7,9}, {5,7,8}, {5,5,9}, {3,4,5}, {3,4,5}, {3,4,5}, {4,8,8}, {1,1,5}, {5,6,8}, {5,6,9}, {3,3,8}, {1,4,7}, {1,4,7}, {1,4,7}, {3,6,9}, {3,6,9}, {1,8,9}, {1,8,9}, {1,8,9}, {1,2,3}, {1,2,3}, {1,2,3}, {2,6,8}, {2,5,8}, {1,5,6}, {1,6,6}, {2,4,6}, {2,2,9}, {2,5,7}, {2,5,7}, {4,4,6}, {3,6,7}, {3,7,8}, {2,4,8}, {6,7,8}, {7,7,9}, {4,9,9},

(c2,c3)=(2,4)

***************************

{1,1,3}, {2,2,9}, {1,4,6}, {1,4,6}, {1,4,6}, {1,8,9}, {1,8,9}, {1,8,9}, {2,7,8}, {3,8,8}, {4,9,9}, {2,4,7}, {2,4,7}, {3,4,5}, {3,4,5}, {3,4,5}, {5,6,9}, {1,2,5}, {1,2,5}, {1,2,5}, {3,6,9}, {3,6,9}, {4,4,8}, {5,6,7}, {5,7,9}, {5,7,9}, {5,6,8}, {3,7,9}, {2,6,8}, {2,3,3}, {5,5,8}, {1,7,7}, {4,7,8}, {2,4,9}, {1,3,7}, {3,6,7}, {2,3,8}, {6,7,8}, {2,6,6},

(c2,c3)=(3,4)

***************************

{1,2,3}, {1,2,3}, {1,2,3}, {1,4,5}, {1,4,5}, {1,4,5}, {3,4,9}, {1,8,9}, {1,8,9}, {1,8,9}, {2,8,8}, {3,5,5}, {3,7,9}, {4,6,9}, {4,6,9}, {2,5,7}, {2,4,8}, {3,3,6}, {5,6,8}, {5,6,8}, {5,6,8}, {5,7,9}, {5,7,9}, {1,6,7}, {2,2,5}, {3,7,8}, {3,7,8}, {2,6,7}, {2,6,7}, {3,4,6}, {3,4,8}, {2,9,9}, {3,5,9}, {2,4,4}, {2,6,9}, {1,1,7}, {4,7,8}, {1,6,6}, {4,7,7},

(c2,c3)=(4,4)

***************************

{2,3,4}, {2,3,4}, {2,3,4}, {1,3,6}, {1,3,6}, {1,3,6}, {2,5,8}, {2,5,8}, {3,7,7}, {2,6,8}, {1,4,5}, {1,4,5}, {3,3,5}, {4,7,8}, {4,4,8}, {1,1,9}, {2,2,6}, {1,2,7}, {1,2,7}, {1,2,7}, {3,8,9}, {3,8,9}, {3,8,9}, {5,5,7}, {5,6,9}, {5,6,9}, {2,9,9}, {6,7,8}, {6,7,8}, {4,7,9}, {4,7,9}, {1,4,9}, {4,5,6}, {3,5,7}, {1,5,8}, {2,5,9}, {4,6,6}, {6,7,9}, {1,8,8},

(c2,c3)=(5,4)

***************************

{1,6,7}, {2,4,9}, {2,4,9}, {2,4,9}, {1,8,9}, {1,8,9}, {1,8,9}, {3,3,9}, {4,5,7}, {2,5,5}, {3,5,8}, {3,5,8}, {3,5,8}, {2,3,7}, {2,3,7}, {2,3,7}, {1,4,6}, {2,6,8}, {2,6,8}, {2,6,8}, {1,4,5}, {1,2,2}, {1,1,3}, {4,5,6}, {6,7,9}, {6,7,9}, {1,2,5}, {3,6,9}, {3,4,6}, {4,7,8}, {7,7,8}, {1,3,6}, {5,9,9}, {5,7,9}, {4,8,8}, {1,4,7}, {1,5,7}, {3,4,4}, {5,6,6},

(c2,c3)=(1,5)

***************************

{1,5,7}, {1,5,7}, {1,5,7}, {2,6,9}, {1,3,3}, {2,3,9}, {3,4,7}, {5,9,9}, {4,5,6}, {4,5,6}, {4,5,6}, {2,7,9}, {4,7,8}, {4,7,8}, {4,4,9}, {1,2,4}, {1,2,4}, {1,2,4}, {1,8,9}, {1,8,9}, {1,8,9}, {2,5,8}, {2,5,8}, {2,5,8}, {3,5,5}, {1,1,6}, {2,2,3}, {2,7,7}, {3,7,8}, {6,8,8}, {1,3,6}, {3,6,7}, {3,4,8}, {6,7,9}, {6,7,9}, {3,6,8}, {3,4,9}, {3,5,9}, {2,6,6},

(c2,c3)=(2,5)

***************************

{1,4,5}, {1,4,5}, {1,4,5}, {2,2,9}, {1,2,3}, {1,2,3}, {1,2,3}, {2,7,8}, {2,4,6}, {2,4,6}, {2,4,6}, {5,7,9}, {5,7,9}, {1,1,8}, {3,5,5}, {5,6,6}, {5,6,8}, {4,8,9}, {4,8,9}, {1,6,7}, {1,6,7}, {1,6,7}, {3,6,9}, {3,6,9}, {3,6,9}, {6,8,8}, {2,5,8}, {2,5,8}, {1,9,9}, {3,3,8}, {3,4,7}, {3,4,4}, {3,7,8}, {3,5,7}, {2,5,9}, {1,8,9}, {4,7,8}, {4,7,9}, {2,7,7},

(c2,c3)=(3,5)

***************************

{2,4,8}, {2,4,8}, {5,7,8}, {5,7,8}, {5,7,8}, {1,3,5}, {1,3,5}, {1,3,5}, {2,5,9}, {2,5,9}, {2,5,9}, {3,4,7}, {3,4,7}, {2,3,6}, {2,3,6}, {2,3,6}, {4,5,5}, {1,4,4}, {6,8,8}, {1,8,9}, {1,8,9}, {1,6,7}, {1,6,7}, {1,6,7}, {3,3,8}, {1,1,2}, {2,2,7}, {4,6,9}, {4,6,9}, {1,4,9}, {2,4,7}, {1,2,8}, {3,4,8}, {4,5,6}, {5,6,6}, {6,8,9}, {7,7,9}, {3,7,9}, {3,9,9},

(c2,c3)=(4,5)

***************************

{2,4,9}, {1,4,5}, {3,5,7}, {3,5,7}, {3,5,7}, {6,6,9}, {5,8,8}, {4,7,8}, {3,8,9}, {3,8,9}, {3,8,9}, {3,3,4}, {2,7,7}, {2,5,6}, {2,5,6}, {2,5,6}, {1,7,9}, {1,7,9}, {1,7,9}, {1,3,6}, {1,3,6}, {1,3,6}, {1,2,8}, {1,2,8}, {1,2,8}, {4,6,8}, {6,7,8}, {6,7,8}, {2,3,4}, {1,1,5}, {2,2,3}, {4,6,7}, {1,4,4}, {4,6,9}, {4,5,9}, {2,4,7}, {5,5,9}, {4,5,8}, {2,9,9},

(c2,c3)=(1,6)

***************************

{2,2,6}, {5,6,7}, {5,6,7}, {5,6,7}, {1,4,6}, {1,4,6}, {1,4,6}, {4,7,8}, {4,7,8}, {4,7,8}, {1,3,5}, {1,3,5}, {1,3,5}, {1,1,9}, {1,8,9}, {3,4,9}, {2,5,8}, {2,5,8}, {2,5,8}, {4,4,5}, {2,9,9}, {1,2,7}, {1,2,7}, {1,2,7}, {6,6,9}, {2,3,6}, {2,3,4}, {2,3,4}, {1,8,8}, {3,3,7}, {6,8,9}, {5,5,9}, {4,5,9}, {2,4,9}, {3,6,8}, {3,6,8}, {3,7,9}, {7,7,9}, {3,8,9},

(c2,c3)=(2,6)

***************************

{2,4,9}, {2,4,9}, {2,4,9}, {4,5,7}, {4,5,7}, {2,6,7}, {2,6,7}, {3,7,8}, {3,7,8}, {3,7,8}, {3,3,4}, {1,4,4}, {1,8,9}, {1,8,9}, {1,8,9}, {3,5,9}, {3,5,9}, {3,5,9}, {1,1,7}, {1,2,3}, {1,2,3}, {1,2,3}, {1,5,6}, {1,5,6}, {1,5,6}, {6,7,9}, {2,5,7}, {2,8,8}, {4,5,8}, {2,6,8}, {4,6,8}, {4,6,8}, {1,4,7}, {5,5,8}, {3,6,6}, {6,9,9}, {2,2,5}, {3,4,6}, {7,7,9},

(c2,c3)=(3,6)

***************************

{1,2,9}, {1,2,9}, {1,2,9}, {3,7,9}, {3,7,9}, {3,7,9}, {2,3,8}, {2,3,8}, {2,3,8}, {2,4,5}, {2,4,5}, {2,4,5}, {4,8,9}, {4,8,9}, {4,8,9}, {1,4,7}, {1,4,7}, {1,4,7}, {1,6,8}, {5,7,8}, {5,7,8}, {5,7,8}, {2,6,6}, {1,3,6}, {3,5,6}, {1,5,6}, {2,2,7}, {1,1,8}, {3,4,6}, {6,9,9}, {1,3,5}, {1,3,5}, {6,7,7}, {2,6,7}, {5,5,9}, {5,6,9}, {6,8,8}, {3,3,4}, {4,4,6},

(c2,c3)=(1,7)

***************************

{2,2,9}, {1,2,5}, {1,2,5}, {1,2,5}, {5,6,8}, {5,6,8}, {5,6,8}, {6,7,9}, {6,7,9}, {6,7,9}, {3,3,6}, {3,4,5}, {3,4,5}, {1,7,8}, {1,7,8}, {1,7,8}, {1,4,9}, {1,4,9}, {1,4,9}, {2,3,7}, {2,3,7}, {2,3,7}, {1,1,3}, {4,4,8}, {2,4,6}, {2,4,6}, {2,4,6}, {4,5,7}, {2,8,8}, {5,9,9}, {1,6,6}, {3,8,9}, {3,8,9}, {3,5,9}, {1,3,6}, {4,7,7}, {2,8,9}, {3,4,8}, {5,5,7},

(c2,c3)=(2,7)

***************************

{6,7,8}, {6,7,8}, {6,7,8}, {3,8,9}, {3,8,9}, {3,8,9}, {1,2,7}, {1,2,7}, {1,2,7}, {1,6,9}, {1,3,5}, {1,3,5}, {1,3,5}, {1,4,8}, {1,4,8}, {1,4,8}, {2,4,9}, {2,4,9}, {2,4,9}, {5,7,9}, {5,7,9}, {5,7,9}, {4,4,7}, {1,1,9}, {2,3,6}, {2,3,6}, {2,3,6}, {4,5,6}, {4,5,6}, {4,5,6}, {3,7,7}, {5,5,8}, {3,4,7}, {2,8,8}, {2,5,8}, {3,3,4}, {2,2,5}, {1,6,6}, {6,9,9},

(c2,c3)=(0,9)

****************************

Missing types are:

(c2,c3)=(0,5)

(c2,c3)=(0,6)

(c2,c3)=(0,7)

(c2,c3)=(0,8)

(c2,c3)=(1,8)