InvolutiveSemirings.py

from Models import Model

InSrng10 = [#indecomposable integral idempotent semirings up to size 10
 
 Model(cardinality = 2, index = 0,
 operations = {
 "*":[
 [0,0],
 [0,1]], 
 "v":[
 [0,1],
 [1,1]], "-":[1, 0], "~":[1, 0]}),
 
 Model(cardinality = 3, index = 0,
 operations = {
 "*":[
 [0,0,0],
 [0,1,2],
 [0,2,0]], 
 "v":[
 [0,1,2],
 [1,1,1],
 [2,1,2]], "-":[1, 0, 2], "~":[1, 0, 2]}),
 
 Model(cardinality = 4, index = 0,
 operations = {
 "*":[
 [0,0,0,0],
 [0,1,2,3],
 [0,2,0,0],
 [0,3,0,2]], 
 "v":[
 [0,1,2,3],
 [1,1,1,1],
 [2,1,2,3],
 [3,1,3,3]], "-":[1, 0, 3, 2], "~":[1, 0, 3, 2]}),
 
 Model(cardinality = 4, index = 1,
 operations = {
 "*":[
 [0,0,0,0],
 [0,1,2,3],
 [0,2,0,0],
 [0,3,0,3]], 
 "v":[
 [0,1,2,3],
 [1,1,1,1],
 [2,1,2,3],
 [3,1,3,3]], "-":[1, 0, 3, 2], "~":[1, 0, 3, 2]}),
 
 Model(cardinality = 5, index = 0,
 operations = {
 "*":[
 [0,0,0,0,0],
 [0,1,2,3,4],
 [0,2,0,0,2],
 [0,3,0,0,0],
 [0,4,2,0,4]], 
 "v":[
 [0,1,2,3,4],
 [1,1,1,1,1],
 [2,1,2,2,4],
 [3,1,2,3,4],
 [4,1,4,4,4]], "-":[1, 0, 2, 4, 3], "~":[1, 0, 2, 4, 3]}),
 
 Model(cardinality = 5, index = 1,
 operations = {
 "*":[
 [0,0,0,0,0],
 [0,1,2,3,4],
 [0,2,0,0,3],
 [0,3,0,0,0],
 [0,4,3,0,2]], 
 "v":[
 [0,1,2,3,4],
 [1,1,1,1,1],
 [2,1,2,2,4],
 [3,1,2,3,4],
 [4,1,4,4,4]], "-":[1, 0, 2, 4, 3], "~":[1, 0, 2, 4, 3]}),
 
 Model(cardinality = 5, index = 2,
 operations = {
 "*":[
 [0,0,0,0,0],
 [0,1,2,3,4],
 [0,2,0,0,3],
 [0,3,0,0,0],
 [0,4,3,0,3]], 
 "v":[
 [0,1,2,3,4],
 [1,1,1,1,1],
 [2,1,2,2,4],
 [3,1,2,3,4],
 [4,1,4,4,4]], "-":[1, 0, 2, 4, 3], "~":[1, 0, 2, 4, 3]}),
 
 Model(cardinality = 6, index = 0,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,4,0,4],
 [0,3,4,0,0,4],
 [0,4,0,0,0,0],
 [0,5,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,5,2,5],
 [3,1,5,3,3,5],
 [4,1,2,3,4,5],
 [5,1,5,5,5,5]], "-":[1, 0, 2, 3, 5, 4], "~":[1, 0, 2, 3, 5, 4]}),
 
 Model(cardinality = 6, index = 1,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,2],
 [0,3,0,2,0,3],
 [0,4,0,0,0,0],
 [0,5,2,3,0,5]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,2,5],
 [3,1,3,3,3,5],
 [4,1,2,3,4,5],
 [5,1,5,5,5,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 2,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,2,2,2],
 [0,4,0,2,0,0],
 [0,5,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,5],
 [5,1,5,3,5,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 3,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,2,2,2],
 [0,4,0,2,2,0],
 [0,5,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,3],
 [5,1,5,3,3,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 4,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,3,4,4],
 [0,4,0,4,0,0],
 [0,5,0,4,0,2]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,5],
 [5,1,5,3,5,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 5,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,3,4,5],
 [0,4,0,4,0,0],
 [0,5,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,5],
 [5,1,5,3,5,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 6,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,3,4,5],
 [0,4,0,4,4,0],
 [0,5,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,3],
 [5,1,5,3,3,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 7,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,4],
 [0,3,0,3,0,3],
 [0,4,0,0,0,0],
 [0,5,4,3,0,3]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,2,5],
 [3,1,3,3,3,5],
 [4,1,2,3,4,5],
 [5,1,5,5,5,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 8,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,4,5,2],
 [0,4,0,5,2,0],
 [0,5,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,4],
 [5,1,5,3,4,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 9,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,4,2,2],
 [0,4,0,2,0,0],
 [0,5,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,5],
 [5,1,5,3,5,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 6, index = 10,
 operations = {
 "*":[
 [0,0,0,0,0,0],
 [0,1,2,3,4,5],
 [0,2,0,0,0,0],
 [0,3,0,4,4,2],
 [0,4,0,4,4,0],
 [0,5,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5],
 [1,1,1,1,1,1],
 [2,1,2,3,4,5],
 [3,1,3,3,3,3],
 [4,1,4,3,4,3],
 [5,1,5,3,3,5]], "-":[1, 0, 3, 2, 5, 4], "~":[1, 0, 3, 2, 5, 4]}),
 
 Model(cardinality = 7, index = 0,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,4,0,4,4],
 [0,3,4,0,0,4,4],
 [0,4,0,0,0,0,0],
 [0,5,4,4,0,4,4],
 [0,6,4,4,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5],
 [3,1,5,3,3,5,5],
 [4,1,2,3,4,5,6],
 [5,1,5,5,5,5,5],
 [6,1,5,5,6,5,6]], "-":[1, 0, 2, 3, 5, 4, 6], "~":[1, 0, 2, 3, 5, 4, 6]}),
 
 Model(cardinality = 7, index = 1,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,2,0,2],
 [0,3,0,0,0,0,0],
 [0,4,2,0,4,5,6],
 [0,5,0,0,5,0,0],
 [0,6,2,0,6,0,6]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 2,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,2,0,5],
 [0,3,0,0,0,0,0],
 [0,4,2,0,4,5,6],
 [0,5,0,0,5,0,0],
 [0,6,5,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 3,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,2,0,5],
 [0,3,0,0,0,0,0],
 [0,4,2,0,4,5,6],
 [0,5,0,0,5,0,0],
 [0,6,5,0,6,0,5]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 4,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,2,0,2],
 [0,3,0,0,0,0,5],
 [0,4,2,0,4,0,4],
 [0,5,0,0,0,0,0],
 [0,6,2,5,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,3,6],
 [4,1,4,4,4,4,6],
 [5,1,2,3,4,5,6],
 [6,1,6,6,6,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 5,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,0,3],
 [0,3,0,0,0,0,0],
 [0,4,3,0,2,3,2],
 [0,5,0,0,3,0,0],
 [0,6,3,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 6,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,0,3],
 [0,3,0,0,0,0,0],
 [0,4,3,0,2,3,2],
 [0,5,0,0,3,0,0],
 [0,6,3,0,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 7,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,0,3],
 [0,3,0,0,0,0,0],
 [0,4,3,0,2,3,5],
 [0,5,0,0,3,0,0],
 [0,6,3,0,5,0,3]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 8,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,0,3],
 [0,3,0,0,0,0,0],
 [0,4,3,0,3,3,3],
 [0,5,0,0,3,0,0],
 [0,6,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 9,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,3,3],
 [0,3,0,0,0,0,0],
 [0,4,3,0,3,3,3],
 [0,5,3,0,3,0,0],
 [0,6,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,4,5,4,5,6],
 [6,1,4,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 10,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,3,3],
 [0,3,0,0,0,0,0],
 [0,4,3,0,3,3,3],
 [0,5,3,0,3,3,0],
 [0,6,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,4,5,4,5,4],
 [6,1,4,6,4,4,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 11,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,0,3],
 [0,3,0,0,0,0,0],
 [0,4,3,0,5,3,3],
 [0,5,0,0,3,0,0],
 [0,6,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,5,6],
 [4,1,4,4,4,4,4],
 [5,1,2,5,4,5,6],
 [6,1,6,6,4,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 12,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,5,0,3],
 [0,3,0,0,0,0,3],
 [0,4,5,0,5,0,3],
 [0,5,0,0,0,0,0],
 [0,6,3,3,3,0,6]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,3,6],
 [4,1,4,4,4,4,6],
 [5,1,2,3,4,5,6],
 [6,1,6,6,6,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 13,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,5,0,3],
 [0,3,0,0,0,0,5],
 [0,4,5,0,3,0,2],
 [0,5,0,0,0,0,0],
 [0,6,3,5,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,3,6],
 [4,1,4,4,4,4,6],
 [5,1,2,3,4,5,6],
 [6,1,6,6,6,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 14,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,5,0,3],
 [0,3,0,0,0,0,5],
 [0,4,5,0,5,0,3],
 [0,5,0,0,0,0,0],
 [0,6,3,5,3,0,4]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,3,6],
 [4,1,4,4,4,4,6],
 [5,1,2,3,4,5,6],
 [6,1,6,6,6,6,6]], "-":[1, 0, 2, 4, 3, 6, 5], "~":[1, 0, 2, 4, 3, 6, 5]}),
 
 Model(cardinality = 7, index = 15,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,3,0,5],
 [0,3,0,0,3,0,0],
 [0,4,5,0,4,5,5],
 [0,5,0,0,0,0,5],
 [0,6,3,3,3,0,6]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6],
 [3,1,2,3,4,2,6],
 [4,1,4,4,4,4,1],
 [5,1,2,2,4,5,6],
 [6,1,6,6,1,6,6]], "-":[1, 0, 2, 4, 5, 6, 3], "~":[1, 0, 2, 6, 3, 4, 5]}),
 
 Model(cardinality = 7, index = 16,
 operations = {
 "*":[
 [0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6],
 [0,2,0,0,0,0,0],
 [0,3,0,2,2,2,2],
 [0,4,0,2,2,2,0],
 [0,5,0,2,0,2,2],
 [0,6,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6],
 [1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6],
 [3,1,3,3,3,3,3],
 [4,1,4,3,4,3,3],
 [5,1,5,3,3,5,3],
 [6,1,6,3,3,3,6]], "-":[1, 0, 3, 2, 5, 6, 4], "~":[1, 0, 3, 2, 6, 4, 5]}),
 
 Model(cardinality = 8, index = 0,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4],
 [0,6,4,4,0,4,0,4],
 [0,7,4,4,0,4,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5],
 [3,1,5,3,3,5,5,5],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5],
 [7,1,5,5,7,5,5,7]], "-":[1, 0, 2, 3, 5, 4, 6, 7], "~":[1, 0, 2, 3, 5, 4, 6, 7]}),
 
 Model(cardinality = 8, index = 1,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,0,2],
 [0,3,4,0,0,4,0,3],
 [0,4,0,0,0,0,0,4],
 [0,5,4,4,0,4,0,5],
 [0,6,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7],
 [3,1,5,3,3,5,3,7],
 [4,1,2,3,4,5,4,7],
 [5,1,5,5,5,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 2, 3, 5, 4, 7, 6], "~":[1, 0, 2, 3, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 2,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,0,4],
 [0,3,4,0,0,4,4,4],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4],
 [0,6,0,4,0,4,0,0],
 [0,7,4,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7],
 [3,1,5,3,3,5,5,5],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7],
 [7,1,7,5,7,5,7,7]], "-":[1, 0, 2, 3, 5, 4, 7, 6], "~":[1, 0, 2, 3, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 3,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4],
 [0,6,4,4,0,4,0,0],
 [0,7,4,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5],
 [3,1,5,3,3,5,5,5],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,7],
 [7,1,5,5,7,5,7,7]], "-":[1, 0, 2, 3, 5, 4, 7, 6], "~":[1, 0, 2, 3, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 4,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4],
 [0,6,4,4,0,4,4,0],
 [0,7,4,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5],
 [3,1,5,3,3,5,5,5],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5],
 [7,1,5,5,7,5,5,7]], "-":[1, 0, 2, 3, 5, 4, 7, 6], "~":[1, 0, 2, 3, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 5,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,4,0],
 [0,3,4,0,0,4,4,0],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0],
 [0,6,4,4,0,4,4,4],
 [0,7,0,0,0,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2],
 [3,1,5,3,3,5,6,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,6,5],
 [6,1,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7]], "-":[1, 0, 2, 3, 6, 7, 4, 5], "~":[1, 0, 2, 3, 6, 7, 4, 5]}),
 
 Model(cardinality = 8, index = 6,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,4,0],
 [0,3,4,0,0,4,4,0],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0],
 [0,6,4,4,0,4,7,4],
 [0,7,0,0,0,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2],
 [3,1,5,3,3,5,6,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,6,5],
 [6,1,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7]], "-":[1, 0, 2, 3, 6, 7, 4, 5], "~":[1, 0, 2, 3, 6, 7, 4, 5]}),
 
 Model(cardinality = 8, index = 7,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,4,0],
 [0,3,4,0,0,4,7,0],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0],
 [0,6,4,7,0,7,2,4],
 [0,7,0,0,0,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2],
 [3,1,5,3,3,5,6,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,6,5],
 [6,1,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7]], "-":[1, 0, 2, 3, 6, 7, 4, 5], "~":[1, 0, 2, 3, 6, 7, 4, 5]}),
 
 Model(cardinality = 8, index = 8,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,7,0],
 [0,3,4,0,0,4,7,0],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0],
 [0,6,7,7,0,7,5,4],
 [0,7,0,0,0,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2],
 [3,1,5,3,3,5,6,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,6,5],
 [6,1,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7]], "-":[1, 0, 2, 3, 6, 7, 4, 5], "~":[1, 0, 2, 3, 6, 7, 4, 5]}),
 
 Model(cardinality = 8, index = 9,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,7,0],
 [0,3,4,0,0,4,7,0],
 [0,4,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0],
 [0,6,7,7,0,7,6,7],
 [0,7,0,0,0,0,7,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2],
 [3,1,5,3,3,5,6,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,6,5],
 [6,1,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7]], "-":[1, 0, 2, 3, 6, 7, 4, 5], "~":[1, 0, 2, 3, 6, 7, 4, 5]}),
 
 Model(cardinality = 8, index = 10,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,4,0,4,0,4],
 [0,3,6,0,0,6,0,3],
 [0,4,0,0,0,0,0,4],
 [0,5,6,4,0,4,0,3],
 [0,6,0,0,0,0,0,0],
 [0,7,2,4,4,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7],
 [3,1,5,3,3,5,3,7],
 [4,1,2,3,4,5,4,7],
 [5,1,5,5,5,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 2, 3, 5, 4, 7, 6], "~":[1, 0, 2, 3, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 11,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,3,3,3,3],
 [0,3,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3],
 [0,5,3,0,3,3,3,0],
 [0,6,3,0,3,0,3,3],
 [0,7,3,0,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4],
 [3,1,2,3,4,5,6,7],
 [4,1,4,4,4,4,4,4],
 [5,1,4,5,4,5,4,4],
 [6,1,4,6,4,4,6,4],
 [7,1,4,7,4,4,4,7]], "-":[1, 0, 2, 4, 3, 6, 7, 5], "~":[1, 0, 2, 4, 3, 7, 5, 6]}),
 
 Model(cardinality = 8, index = 12,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,2],
 [0,3,0,2,0,3,0,3],
 [0,4,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7],
 [0,6,0,0,0,6,0,0],
 [0,7,2,3,0,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7],
 [3,1,3,3,3,5,3,7],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7],
 [7,1,7,7,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 13,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,0],
 [0,3,0,2,0,3,2,2],
 [0,4,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,6],
 [0,6,0,2,0,6,0,0],
 [0,7,0,2,0,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 14,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,0],
 [0,3,0,2,0,3,2,2],
 [0,4,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7],
 [0,6,0,2,0,6,0,0],
 [0,7,0,2,0,7,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 15,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,0],
 [0,3,0,2,0,3,2,2],
 [0,4,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7],
 [0,6,0,2,0,6,2,0],
 [0,7,0,2,0,7,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3],
 [7,1,7,3,7,5,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 16,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,2],
 [0,3,0,2,0,3,0,3],
 [0,4,0,0,0,0,0,6],
 [0,5,2,3,0,5,0,5],
 [0,6,0,0,0,0,0,0],
 [0,7,2,3,6,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7],
 [3,1,3,3,3,5,3,7],
 [4,1,2,3,4,5,4,7],
 [5,1,5,5,5,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 17,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,0],
 [0,3,0,2,0,3,2,4],
 [0,4,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,7],
 [0,6,0,2,0,6,2,0],
 [0,7,0,2,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6],
 [7,1,7,3,7,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 18,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,0],
 [0,3,0,2,0,6,2,2],
 [0,4,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2],
 [0,6,0,2,0,6,2,0],
 [0,7,0,4,0,7,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6],
 [7,1,7,3,7,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 19,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,0],
 [0,3,0,2,0,6,2,4],
 [0,4,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2],
 [0,6,0,2,0,6,2,0],
 [0,7,0,4,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6],
 [7,1,7,3,7,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 20,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,2,0,0],
 [0,3,0,2,0,6,2,4],
 [0,4,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2],
 [0,6,0,2,0,6,2,0],
 [0,7,0,4,0,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3],
 [7,1,7,3,7,5,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 21,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,4,0,0],
 [0,3,0,2,0,6,4,4],
 [0,4,0,0,0,0,0,0],
 [0,5,4,6,0,3,2,2],
 [0,6,0,4,0,2,0,0],
 [0,7,0,4,0,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 22,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,4,0,0],
 [0,3,0,2,0,6,4,4],
 [0,4,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4],
 [0,6,0,4,0,4,0,0],
 [0,7,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 23,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,4,0,0],
 [0,3,0,2,0,6,4,4],
 [0,4,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2],
 [0,6,0,4,0,4,0,0],
 [0,7,0,4,0,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7],
 [3,1,3,3,3,5,3,3],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 24,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,0,0,0,2],
 [0,5,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0],
 [0,7,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 25,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,0,0,0,2],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,2,0],
 [0,7,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7],
 [5,1,5,3,5,5,5,3],
 [6,1,6,3,5,5,6,3],
 [7,1,7,3,7,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 26,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,0,0,0,0],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,2,0],
 [0,7,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,5],
 [7,1,7,3,7,5,5,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 27,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,0,0,2,2],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,2,2,0,0],
 [0,7,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3],
 [5,1,5,3,5,5,3,3],
 [6,1,6,3,3,3,6,7],
 [7,1,7,3,3,3,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 28,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,0,0,2,2],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,2,2,2,0],
 [0,7,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3],
 [5,1,5,3,5,5,3,3],
 [6,1,6,3,3,3,6,3],
 [7,1,7,3,3,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 29,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,2,0,0,2],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,2,0],
 [0,7,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7],
 [5,1,5,3,3,5,5,3],
 [6,1,6,3,3,5,6,3],
 [7,1,7,3,7,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 30,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,2,0,2,2],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,2,2,2,0],
 [0,7,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3],
 [5,1,5,3,3,5,3,3],
 [6,1,6,3,3,3,6,3],
 [7,1,7,3,3,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 31,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2],
 [0,4,0,2,2,2,2,0],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3],
 [5,1,5,3,3,5,3,3],
 [6,1,6,3,3,3,6,3],
 [7,1,7,3,3,3,3,7]], "-":[1, 0, 3, 2, 5, 6, 7, 4], "~":[1, 0, 3, 2, 7, 4, 5, 6]}),
 
 Model(cardinality = 8, index = 32,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4],
 [0,4,0,4,0,0,0,0],
 [0,5,0,4,0,2,2,2],
 [0,6,0,4,0,2,0,0],
 [0,7,0,4,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 33,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4],
 [0,4,0,4,0,0,0,0],
 [0,5,0,4,0,2,2,2],
 [0,6,0,4,0,2,2,0],
 [0,7,0,4,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,5],
 [7,1,7,3,7,5,5,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 34,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7],
 [0,4,0,4,0,0,0,4],
 [0,5,0,4,0,2,0,4],
 [0,6,0,6,0,0,0,0],
 [0,7,0,7,4,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 35,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7],
 [0,4,0,4,0,0,0,6],
 [0,5,0,4,0,2,0,6],
 [0,6,0,6,0,0,0,0],
 [0,7,0,7,6,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 36,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,2],
 [0,3,0,3,4,4,0,3],
 [0,4,0,4,0,0,0,4],
 [0,5,0,4,0,2,0,5],
 [0,6,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7],
 [3,1,3,3,3,3,3,7],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 37,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,6],
 [0,3,0,3,4,4,0,3],
 [0,4,0,4,0,0,0,4],
 [0,5,0,4,0,6,0,4],
 [0,6,0,0,0,0,0,0],
 [0,7,6,3,4,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7],
 [3,1,3,3,3,3,3,7],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 38,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7],
 [0,4,0,4,0,0,0,0],
 [0,5,0,5,0,5,6,7],
 [0,6,0,6,0,6,0,0],
 [0,7,0,7,0,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 39,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7],
 [0,4,0,4,0,0,0,0],
 [0,5,0,5,0,5,6,7],
 [0,6,0,6,0,6,6,0],
 [0,7,0,7,0,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,5],
 [7,1,7,3,7,5,5,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 40,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7],
 [0,4,0,4,0,0,0,6],
 [0,5,0,5,0,5,0,5],
 [0,6,0,6,0,0,0,0],
 [0,7,0,7,6,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 41,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,6],
 [0,3,0,3,4,5,0,3],
 [0,4,0,4,0,0,0,4],
 [0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0],
 [0,7,6,3,4,5,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7],
 [3,1,3,3,3,3,3,7],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 42,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7],
 [0,4,0,4,0,0,0,0],
 [0,5,0,5,0,6,7,4],
 [0,6,0,6,0,7,4,0],
 [0,7,0,7,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,6],
 [7,1,7,3,7,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 43,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7],
 [0,4,0,4,0,0,0,0],
 [0,5,0,5,0,6,6,4],
 [0,6,0,6,0,6,6,0],
 [0,7,0,7,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,5],
 [7,1,7,3,7,5,5,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 44,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7],
 [0,4,0,4,0,0,0,0],
 [0,5,0,5,0,6,4,4],
 [0,6,0,6,0,4,0,0],
 [0,7,0,7,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 45,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7],
 [0,4,0,4,0,0,0,4],
 [0,5,0,5,0,6,6,4],
 [0,6,0,6,0,6,6,0],
 [0,7,0,7,4,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7],
 [5,1,5,3,5,5,5,3],
 [6,1,6,3,5,5,6,3],
 [7,1,7,3,7,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 46,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,6],
 [0,3,0,3,4,5,0,3],
 [0,4,0,4,4,0,0,4],
 [0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0],
 [0,7,6,3,4,5,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7],
 [3,1,3,3,3,3,3,7],
 [4,1,4,3,4,3,4,7],
 [5,1,5,3,3,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 47,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4],
 [0,4,0,4,0,0,0,0],
 [0,5,0,6,0,6,6,4],
 [0,6,0,6,0,6,6,0],
 [0,7,0,7,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,6],
 [7,1,7,3,7,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 48,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4],
 [0,4,0,4,4,0,0,4],
 [0,5,0,6,0,0,0,6],
 [0,6,0,6,0,0,0,0],
 [0,7,0,7,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7],
 [5,1,5,3,4,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 49,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4],
 [0,4,0,4,0,0,0,0],
 [0,5,0,6,0,6,6,2],
 [0,6,0,6,0,6,6,0],
 [0,7,0,4,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,6],
 [7,1,7,3,7,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 50,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4],
 [0,4,0,4,0,0,0,0],
 [0,5,0,6,0,7,4,2],
 [0,6,0,6,0,4,4,0],
 [0,7,0,4,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,6],
 [7,1,7,3,7,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 51,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4],
 [0,4,0,4,0,0,0,0],
 [0,5,0,6,0,6,6,2],
 [0,6,0,6,0,6,6,0],
 [0,7,0,4,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,5],
 [7,1,7,3,7,5,5,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 52,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4],
 [0,4,0,4,4,0,0,4],
 [0,5,0,6,0,6,6,2],
 [0,6,0,6,0,6,6,0],
 [0,7,0,4,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7],
 [5,1,5,3,3,5,5,3],
 [6,1,6,3,3,5,6,3],
 [7,1,7,3,7,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 53,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,2],
 [0,3,0,3,4,6,6,4],
 [0,4,0,4,4,0,0,4],
 [0,5,0,6,0,0,0,2],
 [0,6,0,6,0,0,0,0],
 [0,7,2,4,4,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,5,7],
 [3,1,3,3,3,3,3,1],
 [4,1,4,3,4,4,4,7],
 [5,1,5,3,4,5,5,7],
 [6,1,5,3,4,5,6,7],
 [7,1,7,1,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 54,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,4,0,4],
 [0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0],
 [0,5,4,3,0,3,4,3],
 [0,6,0,0,0,4,0,0],
 [0,7,4,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7],
 [3,1,3,3,3,5,3,7],
 [4,1,2,3,4,5,6,7],
 [5,1,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7],
 [7,1,7,7,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 55,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,6,0,4],
 [0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,6],
 [0,5,6,3,0,3,0,3],
 [0,6,0,0,0,0,0,0],
 [0,7,4,3,6,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7],
 [3,1,3,3,3,5,3,7],
 [4,1,2,3,4,5,4,7],
 [5,1,5,5,5,5,5,7],
 [6,1,2,3,4,5,6,7],
 [7,1,7,7,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 56,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,4,0,6],
 [0,3,0,3,0,3,0,3],
 [0,4,0,0,0,4,0,0],
 [0,5,6,3,0,5,6,3],
 [0,6,0,0,0,0,0,6],
 [0,7,4,3,4,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7],
 [3,1,3,3,3,5,3,7],
 [4,1,2,3,4,5,2,7],
 [5,1,5,5,5,5,5,1],
 [6,1,2,3,2,5,6,7],
 [7,1,7,7,7,1,7,7]], "-":[1, 0, 3, 2, 5, 6, 7, 4], "~":[1, 0, 3, 2, 7, 4, 5, 6]}),
 
 Model(cardinality = 8, index = 57,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4],
 [0,4,0,5,2,0,0,5],
 [0,5,0,2,0,0,0,2],
 [0,6,0,2,0,0,0,0],
 [0,7,0,4,5,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7],
 [5,1,5,3,4,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 58,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5],
 [0,4,0,5,2,0,2,2],
 [0,5,0,2,0,0,0,0],
 [0,6,0,5,2,0,0,0],
 [0,7,0,5,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4],
 [5,1,5,3,4,5,6,7],
 [6,1,6,3,4,6,6,7],
 [7,1,7,3,4,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 59,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5],
 [0,4,0,5,2,0,2,2],
 [0,5,0,2,0,0,0,0],
 [0,6,0,5,2,0,2,0],
 [0,7,0,5,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4],
 [5,1,5,3,4,5,6,7],
 [6,1,6,3,4,6,6,4],
 [7,1,7,3,4,7,4,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 60,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,6,2,7,5],
 [0,4,0,6,7,0,5,2],
 [0,5,0,2,0,0,0,0],
 [0,6,0,7,5,0,2,0],
 [0,7,0,5,2,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4],
 [5,1,5,3,4,5,6,7],
 [6,1,6,3,4,6,6,6],
 [7,1,7,3,4,7,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 61,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5],
 [0,4,0,6,6,0,6,2],
 [0,5,0,2,0,0,0,0],
 [0,6,0,6,6,0,6,0],
 [0,7,0,5,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4],
 [5,1,5,3,4,5,6,7],
 [6,1,6,3,4,6,6,4],
 [7,1,7,3,4,7,4,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 62,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5],
 [0,4,0,6,2,0,0,2],
 [0,5,0,2,0,0,0,2],
 [0,6,0,2,0,0,0,0],
 [0,7,0,5,2,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7],
 [5,1,5,3,4,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 63,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5],
 [0,4,0,6,6,0,6,2],
 [0,5,0,2,0,0,0,2],
 [0,6,0,6,6,0,6,0],
 [0,7,0,5,2,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,3],
 [5,1,5,3,4,5,4,7],
 [6,1,6,3,4,4,6,3],
 [7,1,7,3,3,7,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 64,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6],
 [0,4,0,6,2,0,0,2],
 [0,5,0,2,0,0,0,2],
 [0,6,0,2,0,0,0,0],
 [0,7,0,6,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7],
 [5,1,5,3,4,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 65,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4],
 [0,4,0,2,0,0,0,2],
 [0,5,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0],
 [0,7,0,4,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 66,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6],
 [0,4,0,2,0,0,0,2],
 [0,5,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0],
 [0,7,0,6,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7],
 [5,1,5,3,5,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 67,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2],
 [0,4,0,2,0,0,0,0],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,0,0],
 [0,7,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,7],
 [7,1,7,3,7,5,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 68,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4],
 [0,4,0,2,0,0,0,2],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,2,0],
 [0,7,0,4,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7],
 [5,1,5,3,5,5,5,3],
 [6,1,6,3,5,5,6,3],
 [7,1,7,3,7,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 69,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2],
 [0,4,0,2,0,0,0,0],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,2,0],
 [0,7,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7],
 [5,1,5,3,5,5,5,5],
 [6,1,6,3,6,5,6,5],
 [7,1,7,3,7,5,5,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 70,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,4,2,6,6],
 [0,4,0,4,4,0,6,6],
 [0,5,0,2,0,2,0,2],
 [0,6,0,6,6,0,0,0],
 [0,7,0,6,6,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3],
 [5,1,5,3,3,5,7,7],
 [6,1,6,3,4,7,6,7],
 [7,1,7,3,3,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 71,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4],
 [0,4,0,4,4,0,0,4],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,0,0],
 [0,7,0,4,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,3,7,7],
 [5,1,5,3,3,5,5,3],
 [6,1,6,3,7,5,6,7],
 [7,1,7,3,7,3,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 72,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4],
 [0,4,0,4,4,0,0,4],
 [0,5,0,2,0,2,2,2],
 [0,6,0,2,0,2,2,0],
 [0,7,0,4,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7],
 [5,1,5,3,3,5,5,3],
 [6,1,6,3,3,5,6,3],
 [7,1,7,3,7,3,3,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 73,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,4,2,4,2],
 [0,4,0,4,4,0,4,0],
 [0,5,0,2,0,2,2,0],
 [0,6,0,4,4,2,4,0],
 [0,7,0,2,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4],
 [5,1,5,3,6,5,6,5],
 [6,1,6,3,6,6,6,6],
 [7,1,7,3,4,5,6,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 8, index = 74,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7],
 [0,2,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6],
 [0,4,0,6,2,0,0,2],
 [0,5,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0],
 [0,7,0,6,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7],
 [1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7],
 [3,1,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7],
 [5,1,5,3,7,5,5,7],
 [6,1,6,3,4,5,6,7],
 [7,1,7,3,7,7,7,7]], "-":[1, 0, 3, 2, 5, 4, 7, 6], "~":[1, 0, 3, 2, 5, 4, 7, 6]}),
 
 Model(cardinality = 9, index = 0,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,4,4],
 [0,3,4,0,0,4,4,4,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4],
 [0,6,4,4,0,4,0,4,4],
 [0,7,4,4,0,4,4,0,4],
 [0,8,4,4,0,4,4,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5],
 [3,1,5,3,3,5,5,5,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5],
 [7,1,5,5,7,5,5,7,5],
 [8,1,5,5,8,5,5,5,8]], "-":[1, 0, 2, 3, 5, 4, 6, 7, 8], "~":[1, 0, 2, 3, 5, 4, 6, 7, 8]}),
 
 Model(cardinality = 9, index = 1,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,0,2],
 [0,3,4,0,0,4,4,0,3],
 [0,4,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,0,5],
 [0,6,4,4,0,4,0,0,6],
 [0,7,0,0,0,0,0,0,0],
 [0,8,2,3,4,5,6,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,2,8],
 [3,1,5,3,3,5,5,3,8],
 [4,1,2,3,4,5,6,4,8],
 [5,1,5,5,5,5,5,5,8],
 [6,1,5,5,6,5,6,6,8],
 [7,1,2,3,4,5,6,7,8],
 [8,1,8,8,8,8,8,8,8]], "-":[1, 0, 2, 3, 5, 4, 6, 8, 7], "~":[1, 0, 2, 3, 5, 4, 6, 8, 7]}),
 
 Model(cardinality = 9, index = 2,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,0,4],
 [0,3,4,0,0,4,4,4,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4],
 [0,6,4,4,0,4,0,4,4],
 [0,7,0,4,0,4,4,0,0],
 [0,8,4,4,0,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,2,8],
 [3,1,5,3,3,5,5,5,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5],
 [7,1,2,5,7,5,5,7,8],
 [8,1,8,5,8,5,5,8,8]], "-":[1, 0, 2, 3, 5, 4, 6, 8, 7], "~":[1, 0, 2, 3, 5, 4, 6, 8, 7]}),
 
 Model(cardinality = 9, index = 3,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,4,4],
 [0,3,4,0,0,4,4,4,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4],
 [0,6,4,4,0,4,0,4,4],
 [0,7,4,4,0,4,4,0,0],
 [0,8,4,4,0,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5],
 [3,1,5,3,3,5,5,5,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5],
 [7,1,5,5,7,5,5,7,8],
 [8,1,5,5,8,5,5,8,8]], "-":[1, 0, 2, 3, 5, 4, 6, 8, 7], "~":[1, 0, 2, 3, 5, 4, 6, 8, 7]}),
 
 Model(cardinality = 9, index = 4,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,4,4],
 [0,3,4,0,0,4,4,4,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4],
 [0,6,4,4,0,4,0,4,4],
 [0,7,4,4,0,4,4,4,0],
 [0,8,4,4,0,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5],
 [3,1,5,3,3,5,5,5,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5],
 [7,1,5,5,7,5,5,7,5],
 [8,1,5,5,8,5,5,5,8]], "-":[1, 0, 2, 3, 5, 4, 6, 8, 7], "~":[1, 0, 2, 3, 5, 4, 6, 8, 7]}),
 
 Model(cardinality = 9, index = 5,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,4,4],
 [0,3,4,0,0,4,4,4,0],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4],
 [0,6,4,4,0,4,0,4,0],
 [0,7,4,4,0,4,4,4,0],
 [0,8,4,0,0,4,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5],
 [3,1,5,3,3,5,7,7,3],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,5,5,5],
 [6,1,5,7,6,5,6,7,6],
 [7,1,5,7,7,5,7,7,7],
 [8,1,5,3,8,5,6,7,8]], "-":[1, 0, 2, 3, 5, 4, 6, 8, 7], "~":[1, 0, 2, 3, 5, 4, 6, 8, 7]}),
 
 Model(cardinality = 9, index = 6,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,4,4],
 [0,3,4,0,0,4,4,4,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4],
 [0,6,4,4,0,4,4,4,0],
 [0,7,4,4,0,4,0,4,4],
 [0,8,4,4,0,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5],
 [3,1,5,3,3,5,5,5,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5],
 [7,1,5,5,7,5,5,7,5],
 [8,1,5,5,8,5,5,5,8]], "-":[1, 0, 2, 3, 5, 4, 7, 8, 6], "~":[1, 0, 2, 3, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 9, index = 7,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,0,4],
 [0,3,4,0,0,4,4,0,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4],
 [0,6,4,4,0,4,4,4,4],
 [0,7,0,0,0,0,4,0,0],
 [0,8,4,4,0,4,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5],
 [3,1,5,3,3,5,6,3,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,6,5,5],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8],
 [8,1,5,5,8,5,6,8,8]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8]}),
 
 Model(cardinality = 9, index = 8,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,0,4],
 [0,3,4,0,0,4,4,0,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4],
 [0,6,4,4,0,4,7,4,4],
 [0,7,0,0,0,0,4,0,0],
 [0,8,4,4,0,4,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5],
 [3,1,5,3,3,5,6,3,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,6,5,5],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8],
 [8,1,5,5,8,5,6,8,8]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8]}),
 
 Model(cardinality = 9, index = 9,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,4,0,4],
 [0,3,4,0,0,4,7,0,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4],
 [0,6,4,7,0,7,2,4,7],
 [0,7,0,0,0,0,4,0,0],
 [0,8,4,4,0,4,7,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5],
 [3,1,5,3,3,5,6,3,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,6,5,5],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8],
 [8,1,5,5,8,5,6,8,8]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8]}),
 
 Model(cardinality = 9, index = 10,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,7,0,4],
 [0,3,4,0,0,4,7,0,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4],
 [0,6,7,7,0,7,5,4,7],
 [0,7,0,0,0,0,4,0,0],
 [0,8,4,4,0,4,7,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5],
 [3,1,5,3,3,5,6,3,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,6,5,5],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8],
 [8,1,5,5,8,5,6,8,8]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8]}),
 
 Model(cardinality = 9, index = 11,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,4,0,4,7,0,4],
 [0,3,4,0,0,4,7,0,4],
 [0,4,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4],
 [0,6,7,7,0,7,6,7,7],
 [0,7,0,0,0,0,7,0,0],
 [0,8,4,4,0,4,7,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5],
 [3,1,5,3,3,5,6,3,5],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,6,5,5],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8],
 [8,1,5,5,8,5,6,8,8]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8]}),
 
 Model(cardinality = 9, index = 12,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,7,7,0,7],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,5,7,8],
 [0,5,7,0,5,0,0,0,7],
 [0,6,7,0,5,0,3,0,7],
 [0,7,0,0,7,0,0,0,0],
 [0,8,7,0,8,7,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,8,8,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,8,5,4,5,6,5,8],
 [6,1,8,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 13,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,2],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,2,0,6,0,6,7,8],
 [0,7,0,0,7,0,7,0,0],
 [0,8,2,0,8,0,8,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 14,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,7],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,2,0,6,0,6,7,8],
 [0,7,0,0,7,0,7,0,0],
 [0,8,7,0,8,0,8,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 15,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,7],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,2,0,6,0,6,7,8],
 [0,7,0,0,7,0,7,0,0],
 [0,8,7,0,8,0,8,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 16,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,2],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,7],
 [0,6,2,0,6,0,6,0,6],
 [0,7,0,0,7,0,0,0,0],
 [0,8,2,0,8,7,6,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 17,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,2],
 [0,3,0,0,0,0,0,0,7],
 [0,4,2,0,4,5,6,0,4],
 [0,5,0,0,5,0,0,0,5],
 [0,6,2,0,6,0,6,0,6],
 [0,7,0,0,0,0,0,0,0],
 [0,8,2,7,4,5,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,3,8],
 [4,1,4,4,4,4,4,4,8],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,3,4,5,6,7,8],
 [8,1,8,8,8,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 18,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,6,0,2,5,2],
 [0,7,0,0,7,0,5,0,0],
 [0,8,5,0,8,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 19,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,6,0,2,5,2],
 [0,7,0,0,7,0,5,0,0],
 [0,8,5,0,8,0,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 20,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,6,0,2,5,7],
 [0,7,0,0,7,0,5,0,0],
 [0,8,5,0,8,0,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 21,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,2],
 [0,3,0,0,0,0,0,0,7],
 [0,4,2,0,4,5,6,0,4],
 [0,5,0,0,5,0,0,0,5],
 [0,6,5,0,6,0,2,0,6],
 [0,7,0,0,0,0,0,0,0],
 [0,8,2,7,4,5,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,3,8],
 [4,1,4,4,4,4,4,4,8],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,3,4,5,6,7,8],
 [8,1,8,8,8,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 22,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,6,0,5,5,5],
 [0,7,0,0,7,0,5,0,0],
 [0,8,5,0,8,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 23,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,5,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,6,0,5,5,5],
 [0,7,5,0,7,0,5,0,0],
 [0,8,5,0,8,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,8],
 [8,1,6,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 24,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,5,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,6,0,5,5,5],
 [0,7,5,0,7,0,5,5,0],
 [0,8,5,0,8,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,6],
 [8,1,6,8,4,8,6,6,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 25,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,2],
 [0,3,0,0,0,0,0,0,7],
 [0,4,2,0,4,5,6,0,4],
 [0,5,0,0,5,0,0,0,5],
 [0,6,5,0,6,0,5,0,6],
 [0,7,0,0,0,0,0,0,0],
 [0,8,2,7,4,5,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,3,8],
 [4,1,4,4,4,4,4,4,8],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,3,4,5,6,7,8],
 [8,1,8,8,8,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 26,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,6,0,7,5,5],
 [0,7,0,0,7,0,5,0,0],
 [0,8,5,0,8,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 27,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,7,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,5],
 [0,6,7,0,6,0,7,0,5],
 [0,7,0,0,7,0,0,0,0],
 [0,8,5,0,8,5,5,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 28,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,7,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,7],
 [0,6,7,0,6,0,5,0,2],
 [0,7,0,0,7,0,0,0,0],
 [0,8,5,0,8,7,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 29,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,7,0,5],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,0,0,7],
 [0,6,7,0,6,0,7,0,5],
 [0,7,0,0,7,0,0,0,0],
 [0,8,5,0,8,7,5,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 30,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,2,0],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,5],
 [0,5,0,0,5,0,0,0,0],
 [0,6,2,0,7,0,7,7,5],
 [0,7,2,0,7,0,7,7,0],
 [0,8,0,0,8,0,3,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 31,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,5,0],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,5],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,7,0,2,2,5],
 [0,7,5,0,7,0,2,2,0],
 [0,8,0,0,8,0,3,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 32,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,5,0],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,5],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,7,0,5,5,5],
 [0,7,5,0,7,0,5,5,0],
 [0,8,0,0,8,0,3,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 33,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,2,0,0,2],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,5],
 [0,5,2,0,5,5,0,0,5],
 [0,6,0,0,7,0,0,0,7],
 [0,7,0,0,7,0,0,0,0],
 [0,8,2,0,8,5,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,5,2,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,5,5,4,5,5,5,8],
 [6,1,2,6,4,5,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 34,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,7,0,0,7],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,5],
 [0,5,7,0,5,2,0,0,2],
 [0,6,0,0,7,0,0,0,7],
 [0,7,0,0,7,0,0,0,0],
 [0,8,7,0,8,2,3,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,5,2,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,5,5,4,5,5,5,8],
 [6,1,2,6,4,5,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 35,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,7,0,0,7],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,5],
 [0,5,7,0,5,7,0,0,7],
 [0,6,0,0,7,0,0,0,7],
 [0,7,0,0,7,0,0,0,0],
 [0,8,7,0,8,7,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,5,2,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,5,5,4,5,5,5,8],
 [6,1,2,6,4,5,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 36,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,2,0],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,7,7,5],
 [0,5,0,0,5,0,0,0,0],
 [0,6,2,0,7,0,7,7,3],
 [0,7,2,0,7,0,7,7,0],
 [0,8,0,0,5,0,3,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 37,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,5,0],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,7,7,5],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,7,0,2,2,3],
 [0,7,5,0,7,0,2,2,0],
 [0,8,0,0,5,0,3,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 38,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,5,0],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,7,7,5],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,7,0,5,5,3],
 [0,7,5,0,7,0,5,5,0],
 [0,8,0,0,5,0,3,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 39,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,5,0],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,7,7,5],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,7,0,8,5,3],
 [0,7,5,0,7,0,5,5,0],
 [0,8,0,0,5,0,3,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 40,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,2,0,0,2],
 [0,3,0,0,0,0,0,0,3],
 [0,4,2,0,4,5,7,7,5],
 [0,5,2,0,5,5,0,0,5],
 [0,6,0,0,7,0,0,0,3],
 [0,7,0,0,7,0,0,0,0],
 [0,8,2,3,5,5,3,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,5,2,2,8],
 [3,1,2,3,4,5,6,6,8],
 [4,1,4,4,4,4,4,4,1],
 [5,1,5,5,4,5,5,5,8],
 [6,1,2,6,4,5,6,6,8],
 [7,1,2,6,4,5,6,7,8],
 [8,1,8,8,1,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 41,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,2],
 [0,3,0,0,0,0,5,0,5],
 [0,4,2,0,4,0,4,0,4],
 [0,5,0,0,0,0,0,0,0],
 [0,6,2,5,4,0,4,5,4],
 [0,7,0,0,0,0,5,0,0],
 [0,8,2,5,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,3,8],
 [4,1,4,4,4,4,6,4,8],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,4,7,6,7,8],
 [8,1,8,8,8,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 42,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,2],
 [0,3,0,0,0,0,7,0,5],
 [0,4,2,0,4,0,4,0,4],
 [0,5,0,0,0,0,0,0,7],
 [0,6,2,7,4,0,4,0,4],
 [0,7,0,0,0,0,0,0,0],
 [0,8,2,5,4,7,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,3,8],
 [4,1,4,4,4,4,6,4,8],
 [5,1,2,3,4,5,6,5,8],
 [6,1,6,6,6,6,6,6,8],
 [7,1,2,3,4,5,6,7,8],
 [8,1,8,8,8,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 43,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,5,0,7],
 [0,3,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8],
 [0,5,0,0,5,0,5,0,0],
 [0,6,7,0,6,0,6,7,7],
 [0,7,0,0,7,0,0,0,7],
 [0,8,5,0,8,5,5,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 5], "~":[1, 0, 2, 4, 3, 8, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 44,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,2,0,2],
 [0,3,0,0,0,0,5,0,7],
 [0,4,2,0,4,0,4,0,4],
 [0,5,0,0,0,0,5,0,0],
 [0,6,2,7,4,0,6,7,4],
 [0,7,0,0,0,0,0,0,7],
 [0,8,2,5,4,5,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,3,8],
 [4,1,4,4,4,4,6,4,8],
 [5,1,2,3,4,5,6,3,8],
 [6,1,6,6,6,6,6,6,1],
 [7,1,2,3,4,3,6,7,8],
 [8,1,8,8,8,8,1,8,8]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 5], "~":[1, 0, 2, 4, 3, 8, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 45,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,2,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,5,0,4,5,7,7,7],
 [0,5,0,0,5,0,0,0,0],
 [0,6,5,0,2,0,5,3,3],
 [0,7,5,0,5,0,5,0,0],
 [0,8,5,0,5,0,5,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,8],
 [8,1,6,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 46,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,7,0,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,3,0,2,0,8,5,7],
 [0,5,0,0,0,0,0,0,0],
 [0,6,7,5,8,0,4,3,2],
 [0,7,0,0,5,0,3,0,0],
 [0,8,5,0,7,0,2,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 47,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,7,0,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,3,0,2,0,8,5,7],
 [0,5,0,0,0,0,0,0,0],
 [0,6,7,5,8,0,8,5,7],
 [0,7,0,0,5,0,5,0,0],
 [0,8,5,0,7,0,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 48,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,2,0,2],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,2,3,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 49,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,2,3,2],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,3,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 50,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,2,3,2],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,3,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 51,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,2,3,7],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,3,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 52,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,7],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,2,3,7],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,7,3,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 53,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,2,0,2,3,2],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,0,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 54,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,2,0,2,3,7],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,0,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 55,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,7],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,2,0,2,3,7],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,7,0,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 56,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,5,3,2],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,3,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 57,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,5,3,7],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,3,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 58,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,7],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,5,3,7],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,7,3,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 59,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,2,0,5,3,5],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,2,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 60,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,7],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,2,0,5,3,5],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,7,0,5,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 61,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,2,0,7,0,7],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,2,3,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 62,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,7],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,2,0,7,3,5],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,7,0,5,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 63,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,5],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,7,0,5,3,5],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,7,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 64,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,5],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,7,0,7,3,5],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,7,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 65,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,5,3,5],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,5,0,3,3,3],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,5,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 66,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,5,5,5],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,5,0,3,3,3],
 [0,7,3,0,5,0,3,0,0],
 [0,8,3,0,5,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,8],
 [8,1,6,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 67,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,5,5,5],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,5,0,3,3,3],
 [0,7,3,0,5,0,3,3,0],
 [0,8,3,0,5,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,6],
 [8,1,6,8,4,8,6,6,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 68,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,5,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,7,0,3,0,7],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,2,3,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 69,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,5,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,7,0,3,0,7],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,2,3,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 70,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,7,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,7,0,3,0,3],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,5,3,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 71,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,7,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,7,0,3,0,3],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,5,3,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 72,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,7,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,7,0,7,3,3],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,5,3,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 73,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,3,0,0],
 [0,6,3,0,2,0,2,3,2],
 [0,7,0,0,3,0,0,0,3],
 [0,8,3,0,2,3,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 5], "~":[1, 0, 2, 4, 3, 8, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 74,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,2,3,2],
 [0,5,0,0,3,0,3,0,0],
 [0,6,3,0,2,0,2,3,7],
 [0,7,0,0,3,0,0,0,3],
 [0,8,3,0,2,3,5,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 5], "~":[1, 0, 2, 4, 3, 8, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 75,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,7,3,5],
 [0,5,0,0,3,0,3,0,0],
 [0,6,3,0,5,0,3,3,5],
 [0,7,0,0,3,0,0,0,3],
 [0,8,3,0,7,3,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 5], "~":[1, 0, 2, 4, 3, 8, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 76,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,7,0,5],
 [0,3,0,0,0,0,3,0,0],
 [0,4,3,0,3,0,4,3,3],
 [0,5,0,0,0,0,0,0,0],
 [0,6,7,3,4,0,6,7,7],
 [0,7,0,0,3,0,7,0,0],
 [0,8,5,0,3,0,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 77,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,0,3],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 78,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 79,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,0,0],
 [0,8,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,8],
 [8,1,6,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 80,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,3,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,6,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,6,7,4,6,6,7,4],
 [8,1,4,8,4,8,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 81,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,3,0],
 [0,8,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,6],
 [8,1,6,8,4,8,6,6,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 82,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,0,3,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,3,3,0,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,4,4],
 [6,1,6,6,4,6,6,4,4],
 [7,1,4,7,4,4,4,7,8],
 [8,1,4,8,4,4,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 83,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,0,3,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,3,3,3,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,4,4],
 [6,1,6,6,4,6,6,4,4],
 [7,1,4,7,4,4,4,7,4],
 [8,1,4,8,4,4,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 84,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,0,3],
 [0,7,3,0,3,0,0,0,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,6,5,8],
 [6,1,4,6,4,6,6,6,8],
 [7,1,4,7,4,5,6,7,8],
 [8,1,4,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 85,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,3,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,6,6,8],
 [6,1,4,6,4,6,6,6,4],
 [7,1,4,7,4,6,6,7,4],
 [8,1,4,8,4,8,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 86,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,0,0,0,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,3,0],
 [0,8,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,6,7,8],
 [6,1,4,6,4,6,6,6,6],
 [7,1,4,7,4,7,6,7,6],
 [8,1,4,8,4,8,6,6,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 87,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,0,0,3,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,3,3,0,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,6,4,4],
 [6,1,4,6,4,6,6,4,4],
 [7,1,4,7,4,4,4,7,8],
 [8,1,4,8,4,4,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 88,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,0,0,3,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,3,3,3,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,6,4,4],
 [6,1,4,6,4,6,6,4,4],
 [7,1,4,7,4,4,4,7,4],
 [8,1,4,8,4,4,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 89,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,3,0,0,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,3,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,4,4,8],
 [6,1,4,6,4,4,6,6,4],
 [7,1,4,7,4,4,6,7,4],
 [8,1,4,8,4,8,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 90,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,3,0,3,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,3,3,3,0],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,4,4,4],
 [6,1,4,6,4,4,6,4,4],
 [7,1,4,7,4,4,4,7,4],
 [8,1,4,8,4,4,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 91,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,0,0,3,0,3,0,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,0,0,3,0,0,0,3],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 5], "~":[1, 0, 2, 4, 3, 8, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 92,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3],
 [0,5,3,0,3,3,3,3,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,3,0,3,3],
 [0,8,3,0,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,4,4,4],
 [6,1,4,6,4,4,6,4,4],
 [7,1,4,7,4,4,4,7,4],
 [8,1,4,8,4,4,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 5], "~":[1, 0, 2, 4, 3, 8, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 93,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,0,3],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,5,3,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 94,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,0,3],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,5,3,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 95,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,7],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,0,3],
 [0,7,0,0,3,0,0,0,0],
 [0,8,3,0,7,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,7,4,5,6,7,8],
 [8,1,8,8,4,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 96,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,5,3,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,2,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,2,7,4,2,6,7,8],
 [8,1,8,8,4,8,4,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 97,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,0,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,3],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,0,0,3,0,3,0,0],
 [0,8,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 98,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,3],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,0,0],
 [0,8,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,8],
 [8,1,6,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 99,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,5],
 [0,5,0,0,3,0,0,0,3],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,3,0],
 [0,8,3,0,5,3,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,4],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,6,8],
 [6,1,6,6,4,6,6,6,4],
 [7,1,6,7,4,6,6,7,4],
 [8,1,4,8,4,8,4,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 100,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,3],
 [0,5,0,0,3,0,0,0,0],
 [0,6,3,0,3,0,3,3,3],
 [0,7,3,0,3,0,3,3,0],
 [0,8,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6],
 [3,1,2,3,4,5,6,7,8],
 [4,1,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8],
 [6,1,6,6,4,6,6,6,6],
 [7,1,6,7,4,7,6,7,6],
 [8,1,6,8,4,8,6,6,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 101,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,7,0,5],
 [0,3,0,0,0,0,0,0,3],
 [0,4,3,0,5,3,3,0,4],
 [0,5,0,0,3,0,0,0,5],
 [0,6,7,0,3,0,7,0,5],
 [0,7,0,0,0,0,0,0,0],
 [0,8,5,3,4,5,5,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,3,8],
 [4,1,4,4,4,4,4,4,8],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,3,4,5,6,7,8],
 [8,1,8,8,8,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 102,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,7,0,5],
 [0,3,0,0,0,0,0,0,7],
 [0,4,3,0,5,7,3,0,6],
 [0,5,0,0,7,0,0,0,3],
 [0,6,7,0,3,0,7,0,5],
 [0,7,0,0,0,0,0,0,0],
 [0,8,5,7,6,3,5,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,5,6,3,8],
 [4,1,4,4,4,4,4,4,8],
 [5,1,2,5,4,5,6,5,8],
 [6,1,6,6,4,6,6,6,8],
 [7,1,2,3,4,5,6,7,8],
 [8,1,8,8,8,8,8,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 103,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,3,0,3,3,3],
 [0,3,0,0,0,0,3,0,0],
 [0,4,5,0,3,0,7,3,3],
 [0,5,0,0,0,0,0,0,0],
 [0,6,2,3,2,0,6,3,3],
 [0,7,5,0,5,0,7,0,0],
 [0,8,5,0,5,0,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,8],
 [8,1,4,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 104,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,3],
 [0,3,0,0,0,0,3,0,3],
 [0,4,5,0,5,0,3,0,3],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,6,7,8],
 [0,7,0,0,0,0,7,0,0],
 [0,8,3,3,3,0,8,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,3,8],
 [4,1,4,4,4,4,6,4,8],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,4,7,6,7,8],
 [8,1,8,8,8,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 105,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,5],
 [0,3,0,0,0,0,3,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,6,3,3],
 [0,7,0,0,5,0,3,0,0],
 [0,8,5,0,5,0,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 106,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,5],
 [0,3,0,0,0,0,3,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,6,3,3],
 [0,7,5,0,5,0,3,0,0],
 [0,8,5,0,5,0,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,8],
 [8,1,4,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 107,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,5],
 [0,3,0,0,0,0,3,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,6,3,3],
 [0,7,5,0,5,0,3,5,0],
 [0,8,5,0,5,0,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,4],
 [8,1,4,8,4,8,6,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 108,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,3,5],
 [0,3,0,0,0,0,3,3,0],
 [0,4,5,0,5,0,3,3,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,7,7,5],
 [0,7,3,3,3,0,7,7,0],
 [0,8,5,0,5,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,4],
 [3,1,2,3,4,3,6,7,4],
 [4,1,4,4,4,4,6,6,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,6,7,6,7,6,7,6],
 [8,1,4,4,4,8,6,6,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 109,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,3,0],
 [0,3,0,0,0,0,3,3,0],
 [0,4,5,0,5,0,3,3,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,7,7,5],
 [0,7,3,3,3,0,7,7,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,2],
 [4,1,4,4,4,4,6,6,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,6,7,6,7,7],
 [8,1,2,2,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 110,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,3,0],
 [0,3,0,0,0,0,3,3,0],
 [0,4,5,0,8,0,2,3,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,2,0,7,7,5],
 [0,7,3,3,3,0,7,7,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,2],
 [4,1,4,4,4,4,6,6,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,6,7,6,7,7],
 [8,1,2,2,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 111,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,3,0],
 [0,3,0,0,0,0,3,3,0],
 [0,4,5,0,5,0,3,3,0],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,7,7,5],
 [0,7,3,3,3,0,7,7,0],
 [0,8,0,0,0,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,3],
 [4,1,4,4,4,4,6,7,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,7,7,6,7,7],
 [8,1,2,3,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 112,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,3,0],
 [0,3,0,0,0,0,3,3,0],
 [0,4,5,0,8,0,2,3,0],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,3,2,0,7,7,5],
 [0,7,3,3,3,0,7,7,0],
 [0,8,0,0,0,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,3],
 [4,1,4,4,4,4,6,7,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,7,7,6,7,7],
 [8,1,2,3,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 113,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,3],
 [0,3,0,0,0,0,5,0,5],
 [0,4,5,0,3,0,2,0,2],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,2,0,4,5,4],
 [0,7,0,0,0,0,5,0,0],
 [0,8,3,5,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,3,8],
 [4,1,4,4,4,4,6,4,8],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,4,7,6,7,8],
 [8,1,8,8,8,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 114,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,3,0,2,5,3],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,2,0,4,3,2],
 [0,7,0,0,5,0,3,0,0],
 [0,8,5,0,3,0,2,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 115,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,3,0,2,5,3],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,2,0,4,3,7],
 [0,7,0,0,5,0,3,0,0],
 [0,8,5,0,3,0,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 116,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,3,0,7,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,7,0,4,3,3],
 [0,7,0,0,5,0,3,0,0],
 [0,8,5,0,5,0,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 117,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,3],
 [0,3,0,0,0,0,5,0,5],
 [0,4,5,0,5,0,3,0,3],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,4,5,4],
 [0,7,0,0,0,0,5,0,0],
 [0,8,3,5,3,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,3,8],
 [4,1,4,4,4,4,6,4,8],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,3,4,7,6,7,8],
 [8,1,8,8,8,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 118,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,0,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,4,3,3],
 [0,7,0,0,5,0,3,0,0],
 [0,8,5,0,5,0,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,2,8],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,2,7,4,7,6,7,8],
 [8,1,8,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 119,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,4,3,3],
 [0,7,5,0,5,0,3,0,0],
 [0,8,5,0,5,0,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,8],
 [8,1,4,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 120,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,4,3,3],
 [0,7,5,0,5,0,3,5,0],
 [0,8,5,0,5,0,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,4],
 [8,1,4,8,4,8,6,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 121,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,0],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,3,0,2,3,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,2,0,7,2,5],
 [0,7,5,0,3,0,2,3,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 122,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,0],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,3,0,2,3,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,2,0,7,8,5],
 [0,7,5,0,3,0,8,5,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 123,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,0],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,3,0,8,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,8,0,7,3,5],
 [0,7,5,0,5,0,3,5,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 124,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,0],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,7,3,5],
 [0,7,5,0,5,0,3,5,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 125,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,0],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,8,0,2,3,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,2,0,7,2,5],
 [0,7,5,0,3,0,2,3,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 126,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,0],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,8,0,2,3,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,2,0,7,8,5],
 [0,7,5,0,3,0,8,5,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 127,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,0],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,8,0,8,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,8,0,7,3,5],
 [0,7,5,0,5,0,3,5,0],
 [0,8,0,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,7,2],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,7,7,4,7,6,7,7],
 [8,1,2,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 128,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,7,3,5],
 [0,7,5,0,5,0,3,5,0],
 [0,8,5,0,5,0,5,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,7],
 [8,1,4,8,4,8,6,7,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 129,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,7,3,5],
 [0,7,5,0,5,0,3,5,0],
 [0,8,5,0,5,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,4],
 [8,1,4,8,4,8,6,4,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 130,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,5,0,3,5,5],
 [0,3,0,0,0,0,5,0,0],
 [0,4,5,0,5,0,3,5,5],
 [0,5,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,7,5,5],
 [0,7,5,0,5,0,5,0,0],
 [0,8,5,0,5,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4],
 [3,1,2,3,4,3,6,7,8],
 [4,1,4,4,4,4,6,4,4],
 [5,1,2,3,4,5,6,7,8],
 [6,1,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,8],
 [8,1,4,8,4,8,6,8,8]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 7], "~":[1, 0, 2, 4, 3, 6, 5, 8, 7]}),
 
 Model(cardinality = 9, index = 131,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,2,0,0,0],
 [0,3,0,2,0,3,2,2,2],
 [0,4,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8],
 [0,6,0,2,0,6,2,2,0],
 [0,7,0,2,0,7,0,2,2],
 [0,8,0,2,0,8,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8],
 [3,1,3,3,3,5,3,3,3],
 [4,1,2,3,4,5,6,7,8],
 [5,1,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,3],
 [7,1,7,3,7,5,3,7,3],
 [8,1,8,3,8,5,3,3,8]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 6], "~":[1, 0, 3, 2, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 9, index = 132,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2],
 [0,6,0,2,0,2,2,2,0],
 [0,7,0,2,0,2,0,2,2],
 [0,8,0,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8],
 [3,1,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8],
 [5,1,5,3,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5],
 [7,1,7,3,7,5,5,7,5],
 [8,1,8,3,8,5,5,5,8]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 6], "~":[1, 0, 3, 2, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 9, index = 133,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2],
 [0,4,0,2,0,0,2,2,2],
 [0,5,0,2,0,2,2,2,2],
 [0,6,0,2,2,2,2,2,0],
 [0,7,0,2,2,2,0,2,2],
 [0,8,0,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8],
 [3,1,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3,3],
 [5,1,5,3,5,5,3,3,3],
 [6,1,6,3,3,3,6,3,3],
 [7,1,7,3,3,3,3,7,3],
 [8,1,8,3,3,3,3,3,8]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 6], "~":[1, 0, 3, 2, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 9, index = 134,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2],
 [0,4,0,2,2,0,2,2,2],
 [0,5,0,2,0,2,2,2,2],
 [0,6,0,2,2,2,2,2,0],
 [0,7,0,2,2,2,0,2,2],
 [0,8,0,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8],
 [3,1,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3,3],
 [5,1,5,3,3,5,3,3,3],
 [6,1,6,3,3,3,6,3,3],
 [7,1,7,3,3,3,3,7,3],
 [8,1,8,3,3,3,3,3,8]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 6], "~":[1, 0, 3, 2, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 9, index = 135,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2],
 [0,4,0,2,2,2,2,2,0],
 [0,5,0,2,0,2,2,2,2],
 [0,6,0,2,2,0,2,2,2],
 [0,7,0,2,2,2,0,2,2],
 [0,8,0,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8],
 [3,1,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3,3],
 [5,1,5,3,3,5,3,3,3],
 [6,1,6,3,3,3,6,3,3],
 [7,1,7,3,3,3,3,7,3],
 [8,1,8,3,3,3,3,3,8]], "-":[1, 0, 3, 2, 5, 6, 7, 8, 4], "~":[1, 0, 3, 2, 8, 4, 5, 6, 7]}),
 
 Model(cardinality = 9, index = 136,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2],
 [0,6,0,4,0,2,2,2,0],
 [0,7,0,4,0,2,0,2,2],
 [0,8,0,4,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8],
 [3,1,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8],
 [5,1,5,3,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5],
 [7,1,7,3,7,5,5,7,5],
 [8,1,8,3,8,5,5,5,8]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 6], "~":[1, 0, 3, 2, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 9, index = 137,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5],
 [0,4,0,5,2,0,2,2,2],
 [0,5,0,2,0,0,0,0,0],
 [0,6,0,5,2,0,2,2,0],
 [0,7,0,5,2,0,0,2,2],
 [0,8,0,5,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8],
 [3,1,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8],
 [6,1,6,3,4,6,6,4,4],
 [7,1,7,3,4,7,4,7,4],
 [8,1,8,3,4,8,4,4,8]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 6], "~":[1, 0, 3, 2, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 9, index = 138,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8],
 [0,2,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2],
 [0,6,0,2,0,2,2,2,0],
 [0,7,0,2,0,2,0,2,2],
 [0,8,0,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8],
 [1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8],
 [3,1,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8],
 [5,1,5,3,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5],
 [7,1,7,3,7,5,5,7,5],
 [8,1,8,3,8,5,5,5,8]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 6], "~":[1, 0, 3, 2, 5, 4, 8, 6, 7]}),
 
 Model(cardinality = 10, index = 0,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,4,4,4],
 [0,7,4,4,0,4,4,0,4,4],
 [0,8,4,4,0,4,4,4,0,4],
 [0,9,4,4,0,4,4,4,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,5],
 [7,1,5,5,7,5,5,7,5,5],
 [8,1,5,5,8,5,5,5,8,5],
 [9,1,5,5,9,5,5,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 6, 7, 8, 9], "~":[1, 0, 2, 3, 5, 4, 6, 7, 8, 9]}),
 
 Model(cardinality = 10, index = 1,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,0,2],
 [0,3,4,0,0,4,4,4,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,4,0,5],
 [0,6,4,4,0,4,0,4,0,6],
 [0,7,4,4,0,4,4,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,2,9],
 [3,1,5,3,3,5,5,5,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,5,5,6,5,6,5,6,9],
 [7,1,5,5,7,5,5,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8], "~":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8]}),
 
 Model(cardinality = 10, index = 2,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,0,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,4,4,4],
 [0,7,4,4,0,4,4,0,4,4],
 [0,8,0,4,0,4,4,4,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,2,9],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,5],
 [7,1,5,5,7,5,5,7,5,5],
 [8,1,2,5,8,5,5,5,8,9],
 [9,1,9,5,9,5,5,5,9,9]], "-":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8], "~":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8]}),
 
 Model(cardinality = 10, index = 3,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,4,4,4],
 [0,7,4,4,0,4,4,0,4,4],
 [0,8,4,4,0,4,4,4,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,5],
 [7,1,5,5,7,5,5,7,5,5],
 [8,1,5,5,8,5,5,5,8,9],
 [9,1,5,5,9,5,5,5,9,9]], "-":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8], "~":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8]}),
 
 Model(cardinality = 10, index = 4,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,4,4,4],
 [0,7,4,4,0,4,4,0,4,4],
 [0,8,4,4,0,4,4,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,5],
 [7,1,5,5,7,5,5,7,5,5],
 [8,1,5,5,8,5,5,5,8,5],
 [9,1,5,5,9,5,5,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8], "~":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8]}),
 
 Model(cardinality = 10, index = 5,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,4,4,0],
 [0,7,4,4,0,4,4,0,4,0],
 [0,8,4,4,0,4,4,4,4,0],
 [0,9,4,4,0,4,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,8,8,6],
 [7,1,5,5,7,5,8,7,8,7],
 [8,1,5,5,8,5,8,8,8,8],
 [9,1,5,5,9,5,6,7,8,9]], "-":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8], "~":[1, 0, 2, 3, 5, 4, 6, 7, 9, 8]}),
 
 Model(cardinality = 10, index = 6,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,4,4,4],
 [0,7,4,4,0,4,4,4,4,0],
 [0,8,4,4,0,4,4,0,4,4],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,5],
 [7,1,5,5,7,5,5,7,5,5],
 [8,1,5,5,8,5,5,5,8,5],
 [9,1,5,5,9,5,5,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 6, 8, 9, 7], "~":[1, 0, 2, 3, 5, 4, 6, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 7,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,4,0,4],
 [0,7,4,4,0,4,4,4,0,4],
 [0,8,4,0,0,4,0,0,0,0],
 [0,9,4,4,0,4,4,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,7,7,3,7],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,7,6,5,6,7,6,7],
 [7,1,5,7,7,5,7,7,7,7],
 [8,1,5,3,8,5,6,7,8,9],
 [9,1,5,7,9,5,7,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 6, 8, 7, 9], "~":[1, 0, 2, 3, 5, 4, 6, 8, 7, 9]}),
 
 Model(cardinality = 10, index = 8,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,0,2],
 [0,3,4,0,0,4,0,3,0,3],
 [0,4,0,0,0,0,0,4,0,4],
 [0,5,4,4,0,4,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7,8,9],
 [0,8,0,0,0,0,0,8,0,0],
 [0,9,2,3,4,5,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 9,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,0,4],
 [0,3,4,0,0,4,0,3,4,4],
 [0,4,0,0,0,0,0,4,0,0],
 [0,5,4,4,0,4,0,5,4,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7,8,9],
 [0,8,0,4,0,4,0,8,0,0],
 [0,9,4,4,0,4,0,9,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,5,5],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,5,8,5,8,7,8,9],
 [9,1,9,5,9,5,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 10,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,4,4],
 [0,3,4,0,0,4,0,3,4,4],
 [0,4,0,0,0,0,0,4,0,0],
 [0,5,4,4,0,4,0,5,4,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7,8,8],
 [0,8,4,4,0,4,0,8,0,0],
 [0,9,4,4,0,4,0,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,3,7,5,5],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,5,5,8,5,8,7,8,9],
 [9,1,5,5,9,5,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 11,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,4,4],
 [0,3,4,0,0,4,0,3,4,4],
 [0,4,0,0,0,0,0,4,0,0],
 [0,5,4,4,0,4,0,5,4,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7,8,9],
 [0,8,4,4,0,4,0,8,0,0],
 [0,9,4,4,0,4,0,9,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,3,7,5,5],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,5,5,8,5,8,7,8,9],
 [9,1,5,5,9,5,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 12,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,4,4],
 [0,3,4,0,0,4,0,3,4,4],
 [0,4,0,0,0,0,0,4,0,0],
 [0,5,4,4,0,4,0,5,4,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7,8,9],
 [0,8,4,4,0,4,0,8,4,0],
 [0,9,4,4,0,4,0,9,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,3,7,5,5],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,5,5,8,5,8,7,8,5],
 [9,1,5,5,9,5,9,7,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 13,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,0,2],
 [0,3,4,0,0,4,0,3,0,3],
 [0,4,0,0,0,0,0,4,0,4],
 [0,5,4,4,0,4,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,8],
 [0,7,2,3,4,5,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,8,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 14,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,4,4],
 [0,3,4,0,0,4,0,8,0,6],
 [0,4,0,0,0,0,0,4,0,0],
 [0,5,4,4,0,4,0,5,4,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,8,4,5,0,7,8,8],
 [0,8,4,0,0,4,0,8,0,0],
 [0,9,4,6,0,4,0,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,5,3,8,5,8,7,8,9],
 [9,1,5,9,9,5,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 15,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,4,4,0,4,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,6,9],
 [7,1,7,5,7,5,7,7,7,9],
 [8,1,2,5,8,5,6,7,8,9],
 [9,1,9,5,9,5,9,9,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 16,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,0,4,0,4,0,4,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,2,9],
 [7,1,7,5,7,5,7,7,7,5],
 [8,1,2,5,8,5,2,7,8,9],
 [9,1,9,5,9,5,9,5,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 17,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,4,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,0,0,4,4,4,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,5,5,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,5,5],
 [7,1,7,5,7,5,7,7,5,5],
 [8,1,5,3,8,5,5,5,8,9],
 [9,1,5,9,9,5,5,5,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 18,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,0,4,0,0],
 [0,9,4,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,7,7],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,8,9],
 [7,1,7,5,7,5,7,7,7,7],
 [8,1,7,5,8,5,8,7,8,9],
 [9,1,7,5,9,5,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 19,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,0,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,7,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,7,9],
 [7,1,7,5,7,5,7,7,7,5],
 [8,1,7,5,8,5,7,7,8,5],
 [9,1,5,5,9,5,9,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 20,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,0,4,4,0],
 [0,9,4,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,7,7],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,8,9],
 [7,1,7,5,7,5,7,7,7,7],
 [8,1,7,5,8,5,8,7,8,7],
 [9,1,7,5,9,5,9,7,7,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 21,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,4,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,4,4,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,5,5],
 [7,1,7,5,7,5,7,7,5,5],
 [8,1,5,5,8,5,5,5,8,9],
 [9,1,5,5,9,5,5,5,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 22,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,0,4,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,4,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,5,5],
 [7,1,7,5,7,5,7,7,5,5],
 [8,1,5,5,8,5,5,5,8,5],
 [9,1,5,5,9,5,5,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 23,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,0,0,4],
 [0,7,4,4,0,4,0,4,0,4],
 [0,8,4,4,0,4,0,0,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,7,6,9],
 [7,1,5,5,7,5,7,7,7,9],
 [8,1,5,5,8,5,6,7,8,9],
 [9,1,5,5,9,5,9,9,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 24,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,0,0,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,0,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,7,7,9],
 [7,1,5,5,7,5,7,7,7,5],
 [8,1,5,5,8,5,7,7,8,5],
 [9,1,5,5,9,5,9,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 25,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,0,0,0],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,0,4,4,0],
 [0,9,4,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,7,8,9],
 [7,1,5,5,7,5,7,7,7,7],
 [8,1,5,5,8,5,8,7,8,7],
 [9,1,5,5,9,5,9,7,7,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 26,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,0,4,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,4,4,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,7,5,5],
 [7,1,5,5,7,5,7,7,5,5],
 [8,1,5,5,8,5,5,5,8,9],
 [9,1,5,5,9,5,5,5,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 27,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,0,0,4,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,4,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,7,5,5],
 [7,1,5,5,7,5,7,7,5,5],
 [8,1,5,5,8,5,5,5,8,5],
 [9,1,5,5,9,5,5,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 28,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,4,0,0,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,0,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,9],
 [7,1,5,5,7,5,5,7,7,5],
 [8,1,5,5,8,5,5,7,8,5],
 [9,1,5,5,9,5,9,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 29,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,4,0,4,4],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,4,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,5],
 [7,1,5,5,7,5,5,7,5,5],
 [8,1,5,5,8,5,5,5,8,5],
 [9,1,5,5,9,5,5,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 30,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,0,4,0,4,0,4,0,0],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,0,4,0,4,0,0,0,4],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,5,6,5,6,7,2,9],
 [7,1,7,5,7,5,7,7,7,5],
 [8,1,2,5,8,5,2,7,8,9],
 [9,1,9,5,9,5,9,5,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 8, 9, 6], "~":[1, 0, 2, 3, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 31,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,4,4,4],
 [0,3,4,0,0,4,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,4,4,4],
 [0,6,4,4,0,4,4,4,4,0],
 [0,7,4,4,0,4,0,4,4,4],
 [0,8,4,4,0,4,4,0,4,4],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,5,5,5,5],
 [3,1,5,3,3,5,5,5,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,5,5,6,5,6,5,5,5],
 [7,1,5,5,7,5,5,7,5,5],
 [8,1,5,5,8,5,5,5,8,5],
 [9,1,5,5,9,5,5,5,5,9]], "-":[1, 0, 2, 3, 5, 4, 7, 8, 9, 6], "~":[1, 0, 2, 3, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 32,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,4,0,0,4],
 [0,9,4,4,0,4,4,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9]}),
 
 Model(cardinality = 10, index = 33,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,2],
 [0,3,4,0,0,4,4,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,0,0,5],
 [0,6,4,4,0,4,4,4,0,6],
 [0,7,0,0,0,0,4,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 34,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,0,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 35,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,2,9],
 [8,1,2,5,8,5,6,2,8,9],
 [9,1,9,6,9,6,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 36,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,5,8,5,6,8,8,9],
 [9,1,9,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 37,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,9],
 [9,1,5,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 38,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,4,4,0,4,4,0,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,6],
 [3,1,5,3,3,5,6,3,5,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,5,9],
 [8,1,5,5,8,5,6,5,8,6],
 [9,1,6,6,9,6,6,9,6,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 39,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,4,0,4,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 40,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,4,4],
 [0,8,4,4,0,4,4,4,0,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,6,6],
 [3,1,5,3,3,5,6,3,6,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,6,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,6,6],
 [8,1,6,6,8,6,6,6,8,9],
 [9,1,6,6,9,6,6,6,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 41,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,4,4,4,4],
 [0,7,0,0,0,0,4,0,4,4],
 [0,8,4,4,0,4,4,4,4,0],
 [0,9,4,4,0,4,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,6,6],
 [3,1,5,3,3,5,6,3,6,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,6,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,6,6],
 [8,1,6,6,8,6,6,6,8,6],
 [9,1,6,6,9,6,6,6,6,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 42,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,2],
 [0,3,4,0,0,4,4,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,0,0,5],
 [0,6,4,4,0,4,4,4,0,5],
 [0,7,0,0,0,0,8,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 43,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,2],
 [0,3,4,0,0,4,4,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,0,0,5],
 [0,6,4,4,0,4,4,8,0,6],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,5,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 44,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,2],
 [0,3,4,0,0,4,4,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,0,0,5],
 [0,6,4,4,0,4,4,8,0,5],
 [0,7,0,0,0,0,8,0,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,5,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 45,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,7,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,4,0,0,4],
 [0,9,4,4,0,4,4,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9]}),
 
 Model(cardinality = 10, index = 46,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,2],
 [0,3,4,0,0,4,4,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,0,0,5],
 [0,6,4,4,0,4,7,4,0,6],
 [0,7,0,0,0,0,4,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 47,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,0,4],
 [0,6,4,4,0,4,7,4,4,7],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,4,0,4,7,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 48,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,0,4],
 [0,6,4,4,0,4,7,4,4,7],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,4,0,4,7,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 49,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,0,4],
 [0,6,4,4,0,4,7,4,4,8],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,4,0,4,8,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 50,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,7,4,4,7],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,7,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,2,9],
 [8,1,2,5,8,5,6,2,8,9],
 [9,1,9,6,9,6,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 51,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,7,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,5,8,5,6,8,8,9],
 [9,1,9,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 52,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,7,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,9],
 [9,1,5,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 53,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,7,4,4,7],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,4,4,0,4,4,0,4,0],
 [0,9,4,4,0,4,7,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,6],
 [3,1,5,3,3,5,6,3,5,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,5,9],
 [8,1,5,5,8,5,6,5,8,6],
 [9,1,6,6,9,6,6,9,6,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 54,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,4,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,4,4],
 [0,6,4,4,0,4,7,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,4,0,4,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 55,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,4,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,4,0,0,4],
 [0,6,4,4,0,4,7,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,4,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 56,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,2],
 [0,3,4,0,0,4,4,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,4,0,0,5],
 [0,6,4,4,0,4,7,8,0,5],
 [0,7,0,0,0,0,8,0,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,5,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 57,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,4,7,0,7,2,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,0,4],
 [0,9,4,4,0,4,7,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9]}),
 
 Model(cardinality = 10, index = 58,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,2],
 [0,3,4,0,0,4,7,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,7,0,0,5],
 [0,6,4,7,0,7,2,4,0,6],
 [0,7,0,0,0,0,4,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 59,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,7],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,7],
 [0,6,4,7,0,7,2,4,4,2],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,7,0,7,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 60,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,4,7,0,7,2,4,4,2],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,8,0,8,2,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 61,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,4,7,0,7,2,4,4,2],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,8,0,8,2,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 62,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,4,7],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,7],
 [0,6,4,7,0,7,2,4,4,2],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,7,0,7,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,2,9],
 [8,1,2,5,8,5,6,2,8,9],
 [9,1,9,6,9,6,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 63,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,4,7],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,7],
 [0,6,4,7,0,7,2,4,4,2],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,7,0,7,2,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,6],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,6],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,2,9],
 [8,1,2,5,8,5,6,2,8,9],
 [9,1,9,6,9,6,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 64,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,4,7,0,7,2,4,4,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,5,8,5,6,8,8,9],
 [9,1,9,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 65,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,4,7,0,7,2,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,0,0,4,7,0,0,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,3,8,5,6,8,8,9],
 [9,1,5,9,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 66,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,4,7,0,7,2,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,0,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,9],
 [9,1,5,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 67,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,4,7,0,7,2,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,4,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 68,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,4,7,0,7,2,4,4,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,7,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 69,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,4,7,0,7,2,4,4,8],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,8,0,4,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 70,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,4,7,0,7,2,4,4,8],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,8,0,4,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 71,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,4,7,0,7,8,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,5,8,5,6,8,8,9],
 [9,1,9,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 72,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,4,8,0,8,2,4,4,2],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,8,0,8,7,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 73,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,4,8,0,8,2,4,4,2],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,4,8,0,8,7,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 74,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,7],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,7],
 [0,6,4,8,0,8,2,4,4,8],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,2,0,4,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 75,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,4,0,0,4],
 [0,3,4,0,0,4,7,0,0,7],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,7],
 [0,6,4,8,0,8,2,4,4,8],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,2,0,4,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 76,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,5,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,0,4],
 [0,9,4,4,0,4,7,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9]}),
 
 Model(cardinality = 10, index = 77,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,2],
 [0,3,4,0,0,4,7,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,7,0,0,5],
 [0,6,7,7,0,7,5,4,0,6],
 [0,7,0,0,0,0,4,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 78,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,7],
 [0,3,4,0,0,4,7,0,0,7],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,7],
 [0,6,7,7,0,7,5,4,4,5],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,7,7,0,7,5,4,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 79,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,7],
 [0,3,4,0,0,4,7,0,0,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,7],
 [0,6,7,7,0,7,5,4,4,5],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,7,8,0,7,5,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 80,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,5,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,4,0,4,7,0,0,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,5,8,5,6,8,8,9],
 [9,1,9,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 81,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,5,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,0,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,9],
 [9,1,5,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 82,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,5,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,4,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 83,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,7,7,0,7,5,4,4,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,7,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 84,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,7,7,0,7,5,4,4,8],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,8,0,4,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 85,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,7,7,0,7,5,4,4,8],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,0,0,0,0,4,0,0,4],
 [0,9,4,4,0,4,8,0,4,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 86,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,8,4,4,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,4,0,0,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,9],
 [9,1,5,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 87,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,8,4,7,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,4,0],
 [0,9,4,4,0,4,4,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,8],
 [9,1,5,5,9,5,6,9,8,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 88,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,8,4,7,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,4,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 89,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,8,4,7,4],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,4,0],
 [0,9,4,0,0,4,4,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,8,8,5,6,8,8,8],
 [9,1,5,3,9,5,6,9,8,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 90,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,0],
 [0,3,4,0,0,4,7,0,4,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,0],
 [0,6,7,7,0,7,8,4,7,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,7,0,4,4],
 [0,9,0,0,0,0,7,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,8,2],
 [3,1,5,3,3,5,6,3,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,8,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,8,8,8,8,6,8,8,8],
 [9,1,2,3,9,5,6,9,8,9]], "-":[1, 0, 2, 3, 6, 9, 4, 8, 7, 5], "~":[1, 0, 2, 3, 6, 9, 4, 8, 7, 5]}),
 
 Model(cardinality = 10, index = 91,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,0],
 [0,3,4,0,0,4,7,0,4,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,0],
 [0,6,7,7,0,7,8,4,9,7],
 [0,7,0,0,0,0,4,0,0,0],
 [0,8,4,4,0,4,9,0,7,4],
 [0,9,0,0,0,0,7,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,8,2],
 [3,1,5,3,3,5,6,3,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,8,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,8,8,8,8,6,8,8,8],
 [9,1,2,3,9,5,6,9,8,9]], "-":[1, 0, 2, 3, 6, 9, 4, 8, 7, 5], "~":[1, 0, 2, 3, 6, 9, 4, 8, 7, 5]}),
 
 Model(cardinality = 10, index = 92,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,6,7,7,7],
 [0,7,0,0,0,0,7,0,0,0],
 [0,8,4,4,0,4,7,0,0,4],
 [0,9,4,4,0,4,7,0,4,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9], "~":[1, 0, 2, 3, 6, 7, 4, 5, 8, 9]}),
 
 Model(cardinality = 10, index = 93,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,7],
 [0,3,4,0,0,4,7,0,0,7],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,7],
 [0,6,7,7,0,7,6,7,8,9],
 [0,7,0,0,0,0,7,0,0,7],
 [0,8,0,0,0,0,8,0,0,0],
 [0,9,7,7,0,7,9,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 94,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,8],
 [0,3,4,0,0,4,7,0,0,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,7,7,0,7,6,7,8,9],
 [0,7,0,0,0,0,7,0,0,8],
 [0,8,0,0,0,0,8,0,0,0],
 [0,9,8,8,0,8,9,8,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 95,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,8],
 [0,3,4,0,0,4,7,0,0,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,7,7,0,7,6,7,8,9],
 [0,7,0,0,0,0,7,0,0,8],
 [0,8,0,0,0,0,8,0,0,0],
 [0,9,8,8,0,8,9,8,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 96,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,6,7,7,7],
 [0,7,0,0,0,0,7,0,0,0],
 [0,8,0,4,0,4,7,0,0,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,5,8,5,6,8,8,9],
 [9,1,9,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 97,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,6,7,7,7],
 [0,7,0,0,0,0,7,0,0,0],
 [0,8,4,4,0,4,7,0,0,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,9],
 [9,1,5,5,9,5,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 98,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,4,4],
 [0,3,4,0,0,4,7,0,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,4,4],
 [0,6,7,7,0,7,6,7,7,7],
 [0,7,0,0,0,0,7,0,0,0],
 [0,8,4,4,0,4,7,0,4,0],
 [0,9,4,4,0,4,7,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,5,5],
 [3,1,5,3,3,5,6,3,5,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,5,5,8,5,6,8,8,5],
 [9,1,5,5,9,5,6,9,5,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 99,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,2],
 [0,3,4,0,0,4,7,0,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,4,4,0,4,7,0,0,5],
 [0,6,7,7,0,7,6,7,0,6],
 [0,7,0,0,0,0,7,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,9],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 100,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,4],
 [0,3,4,0,0,4,7,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,4],
 [0,6,7,7,0,7,6,7,7,7],
 [0,7,0,0,0,0,7,0,0,0],
 [0,8,0,0,0,0,7,0,0,4],
 [0,9,4,4,0,4,7,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,9],
 [8,1,2,3,8,5,6,8,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7], "~":[1, 0, 2, 3, 6, 8, 4, 9, 5, 7]}),
 
 Model(cardinality = 10, index = 101,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,7,4],
 [0,3,4,0,0,4,7,0,7,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,7,4],
 [0,6,7,7,0,7,8,7,8,4],
 [0,7,0,0,0,0,7,0,7,0],
 [0,8,7,7,0,7,8,7,8,0],
 [0,9,4,4,0,4,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,6,5],
 [3,1,5,3,3,5,6,3,6,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,6,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,5],
 [8,1,6,6,8,6,6,8,8,6],
 [9,1,5,5,9,5,6,5,6,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 102,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,7,4],
 [0,3,4,0,0,4,7,0,7,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,7,4],
 [0,6,7,7,0,7,8,7,8,4],
 [0,7,0,0,0,0,7,0,7,0],
 [0,8,7,7,0,7,8,7,8,0],
 [0,9,4,0,0,4,4,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,6,5],
 [3,1,5,3,3,5,6,3,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,6,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,3],
 [8,1,6,8,8,6,6,8,8,8],
 [9,1,5,3,9,5,6,3,8,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 103,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,7,0],
 [0,3,4,0,0,4,7,0,7,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,7,0],
 [0,6,7,7,0,7,8,7,8,4],
 [0,7,0,0,0,0,7,0,7,0],
 [0,8,7,7,0,7,8,7,8,0],
 [0,9,0,0,0,0,4,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,8,2],
 [3,1,5,3,3,5,6,3,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,8,5],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,8,7],
 [8,1,8,8,8,8,6,8,8,8],
 [9,1,2,3,9,5,6,7,8,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 104,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,8],
 [0,3,4,0,0,4,7,0,0,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,7,7,0,7,9,8,4,5],
 [0,7,0,0,0,0,8,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,8,8,0,8,5,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 105,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,8],
 [0,3,4,0,0,4,8,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,7,8,0,7,5,4,4,3],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,8,4,0,8,3,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 106,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,8],
 [0,3,4,0,0,4,8,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,7,8,0,7,5,4,4,3],
 [0,7,0,0,0,0,4,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,8,4,0,8,3,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 107,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,7,0,0,8],
 [0,3,4,0,0,4,8,0,0,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,4,0,4,7,0,0,8],
 [0,6,7,8,0,7,9,8,4,3],
 [0,7,0,0,0,0,8,0,0,4],
 [0,8,0,0,0,0,4,0,0,0],
 [0,9,8,4,0,8,3,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,6,2,2,9],
 [3,1,5,3,3,5,6,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,6,5,5,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,2,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,9,6,9,9,9]], "-":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8], "~":[1, 0, 2, 3, 6, 7, 4, 5, 9, 8]}),
 
 Model(cardinality = 10, index = 108,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,4],
 [0,3,6,0,0,6,0,3,0,3],
 [0,4,0,0,0,0,0,4,0,4],
 [0,5,6,4,0,4,0,3,0,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,4,4,2,0,7,8,9],
 [0,8,0,0,0,0,0,8,0,0],
 [0,9,2,4,4,2,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 109,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,2],
 [0,3,6,0,0,6,0,3,0,3],
 [0,4,0,0,0,0,0,4,0,4],
 [0,5,6,4,0,4,0,3,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,2,4,4,2,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 110,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,0],
 [0,3,6,0,0,6,0,3,3,0],
 [0,4,0,0,0,0,0,4,4,0],
 [0,5,6,4,0,4,0,3,3,0],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,4,4,2,0,8,8,6],
 [0,8,2,4,4,2,0,8,8,0],
 [0,9,0,0,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,8,2],
 [3,1,5,3,3,5,3,7,8,3],
 [4,1,2,3,4,5,4,7,8,4],
 [5,1,5,5,5,5,5,7,8,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,8,8,8,8,8,7,8,8],
 [9,1,2,3,4,5,9,7,8,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 111,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,6],
 [0,3,6,0,0,6,0,3,6,6],
 [0,4,0,0,0,0,0,4,0,0],
 [0,5,6,4,0,4,0,3,6,6],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,8,4,4,8,0,7,8,8],
 [0,8,0,4,0,4,0,4,0,0],
 [0,9,6,4,0,4,0,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,5,5],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,5,8,5,8,7,8,9],
 [9,1,9,5,9,5,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 112,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,4,4],
 [0,3,6,0,0,6,0,8,0,6],
 [0,4,0,0,0,0,0,4,0,0],
 [0,5,6,4,0,4,0,8,4,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,4,4,2,0,7,4,4],
 [0,8,6,0,0,6,0,8,0,0],
 [0,9,6,6,0,6,0,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,5,5],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,5,3,8,5,8,7,8,9],
 [9,1,5,9,9,5,9,7,9,9]], "-":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8], "~":[1, 0, 2, 3, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 113,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,8],
 [0,3,6,0,0,6,0,4,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,6,4,0,4,0,4,0,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,4,4,0,4,0,4,4,7],
 [0,8,0,0,0,0,0,4,0,8],
 [0,9,2,8,4,2,0,7,8,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6], "~":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6]}),
 
 Model(cardinality = 10, index = 114,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,8],
 [0,3,6,0,0,6,0,4,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,6,4,0,4,0,4,0,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,4,4,0,4,0,8,4,7],
 [0,8,0,0,0,0,0,4,0,8],
 [0,9,2,8,4,2,0,7,8,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6], "~":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6]}),
 
 Model(cardinality = 10, index = 115,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,4],
 [0,3,6,0,0,6,0,6,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,6,4,0,4,0,4,0,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,4,0,4,0,4,6,3],
 [0,8,0,0,0,0,0,6,0,4],
 [0,9,2,4,4,2,0,2,4,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6], "~":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6]}),
 
 Model(cardinality = 10, index = 116,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,4,0,4],
 [0,3,6,0,0,6,0,6,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,6,4,0,4,0,4,0,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,4,0,4,0,8,6,3],
 [0,8,0,0,0,0,0,6,0,4],
 [0,9,2,4,4,2,0,2,4,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6], "~":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6]}),
 
 Model(cardinality = 10, index = 117,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,2,0,4],
 [0,3,6,0,0,6,0,6,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,6,4,0,8,0,2,0,3],
 [0,6,0,0,0,0,0,6,0,0],
 [0,7,6,3,0,3,6,7,6,3],
 [0,8,0,0,0,0,0,6,0,4],
 [0,9,2,4,4,2,0,2,4,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,8,7,8,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,8,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,1],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,9,9,1,9,9]], "-":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6], "~":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6]}),
 
 Model(cardinality = 10, index = 118,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,4,0,4,0,8,0,8],
 [0,3,6,0,0,6,0,8,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,6,4,0,4,0,8,0,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,8,8,0,8,0,7,8,7],
 [0,8,0,0,0,0,0,8,0,8],
 [0,9,2,8,4,2,0,7,8,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,5,2,5,2,7,2,9],
 [3,1,5,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6], "~":[1, 0, 2, 3, 7, 8, 9, 4, 5, 6]}),
 
 Model(cardinality = 10, index = 119,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,2,0,5,5,5,5],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,2,0,4,5,6,7,8,9],
 [0,5,0,0,5,0,0,0,0,0],
 [0,6,5,0,6,0,5,5,5,5],
 [0,7,5,0,7,0,5,5,5,0],
 [0,8,5,0,8,0,5,0,5,5],
 [0,9,5,0,9,0,5,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6,6],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8,9],
 [6,1,6,6,4,6,6,6,6,6],
 [7,1,6,7,4,7,6,7,6,6],
 [8,1,6,8,4,8,6,6,8,6],
 [9,1,6,9,4,9,6,6,6,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 120,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,0,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,2,3,5,5,5,5],
 [0,5,0,0,3,0,0,0,0,0],
 [0,6,3,0,5,0,3,3,3,3],
 [0,7,3,0,5,0,3,3,3,0],
 [0,8,3,0,5,0,3,0,3,3],
 [0,9,3,0,5,0,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6,6],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8,9],
 [6,1,6,6,4,6,6,6,6,6],
 [7,1,6,7,4,7,6,7,6,6],
 [8,1,6,8,4,8,6,6,8,6],
 [9,1,6,9,4,9,6,6,6,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 121,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,0,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3,3],
 [0,5,0,0,3,0,0,0,0,0],
 [0,6,3,0,3,0,3,3,3,3],
 [0,7,3,0,3,0,3,3,3,0],
 [0,8,3,0,3,0,3,0,3,3],
 [0,9,3,0,3,0,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6,6],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8,9],
 [6,1,6,6,4,6,6,6,6,6],
 [7,1,6,7,4,7,6,7,6,6],
 [8,1,6,8,4,8,6,6,8,6],
 [9,1,6,9,4,9,6,6,6,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 122,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,0,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3,3],
 [0,5,0,0,3,0,0,3,3,3],
 [0,6,3,0,3,0,3,3,3,3],
 [0,7,3,0,3,3,3,3,3,0],
 [0,8,3,0,3,3,3,0,3,3],
 [0,9,3,0,3,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4,4],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,4,4,4],
 [6,1,6,6,4,6,6,4,4,4],
 [7,1,4,7,4,4,4,7,4,4],
 [8,1,4,8,4,4,4,4,8,4],
 [9,1,4,9,4,4,4,4,4,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 123,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3,3],
 [0,5,3,0,3,0,0,0,0,0],
 [0,6,3,0,3,0,3,3,3,3],
 [0,7,3,0,3,0,3,3,3,0],
 [0,8,3,0,3,0,3,0,3,3],
 [0,9,3,0,3,0,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,6,7,8,9],
 [6,1,4,6,4,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,6,6],
 [8,1,4,8,4,8,6,6,8,6],
 [9,1,4,9,4,9,6,6,6,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 124,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3,3],
 [0,5,3,0,3,0,0,3,3,3],
 [0,6,3,0,3,0,3,3,3,3],
 [0,7,3,0,3,3,3,3,3,0],
 [0,8,3,0,3,3,3,0,3,3],
 [0,9,3,0,3,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,6,4,4,4],
 [6,1,4,6,4,6,6,4,4,4],
 [7,1,4,7,4,4,4,7,4,4],
 [8,1,4,8,4,4,4,4,8,4],
 [9,1,4,9,4,4,4,4,4,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 125,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3,3],
 [0,5,3,0,3,3,0,3,3,3],
 [0,6,3,0,3,0,3,3,3,3],
 [0,7,3,0,3,3,3,3,3,0],
 [0,8,3,0,3,3,3,0,3,3],
 [0,9,3,0,3,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,4,4,4,4],
 [6,1,4,6,4,4,6,4,4,4],
 [7,1,4,7,4,4,4,7,4,4],
 [8,1,4,8,4,4,4,4,8,4],
 [9,1,4,9,4,4,4,4,4,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 126,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,3,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,3,3,3,3,3,3],
 [0,5,3,0,3,3,3,3,3,0],
 [0,6,3,0,3,0,3,3,3,3],
 [0,7,3,0,3,3,0,3,3,3],
 [0,8,3,0,3,3,3,0,3,3],
 [0,9,3,0,3,3,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,4,4,4,4,4],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,4,5,4,5,4,4,4,4],
 [6,1,4,6,4,4,6,4,4,4],
 [7,1,4,7,4,4,4,7,4,4],
 [8,1,4,8,4,4,4,4,8,4],
 [9,1,4,9,4,4,4,4,4,9]], "-":[1, 0, 2, 4, 3, 6, 7, 8, 9, 5], "~":[1, 0, 2, 4, 3, 9, 5, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 127,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,3,0,3,3,3,3],
 [0,3,0,0,0,0,0,0,0,0],
 [0,4,3,0,5,3,3,3,3,3],
 [0,5,0,0,3,0,0,0,0,0],
 [0,6,3,0,3,0,3,3,3,3],
 [0,7,3,0,3,0,3,3,3,0],
 [0,8,3,0,3,0,3,0,3,3],
 [0,9,3,0,3,0,3,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,6,6,6],
 [3,1,2,3,4,5,6,7,8,9],
 [4,1,4,4,4,4,4,4,4,4],
 [5,1,2,5,4,5,6,7,8,9],
 [6,1,6,6,4,6,6,6,6,6],
 [7,1,6,7,4,7,6,7,6,6],
 [8,1,6,8,4,8,6,6,8,6],
 [9,1,6,9,4,9,6,6,6,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 128,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,5,0,3,5,5,5],
 [0,3,0,0,0,0,3,0,0,0],
 [0,4,5,0,5,0,3,5,5,5],
 [0,5,0,0,0,0,0,0,0,0],
 [0,6,3,3,3,0,6,3,3,3],
 [0,7,5,0,5,0,3,5,5,0],
 [0,8,5,0,5,0,3,0,5,5],
 [0,9,5,0,5,0,3,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4,4],
 [3,1,2,3,4,3,6,7,8,9],
 [4,1,4,4,4,4,6,4,4,4],
 [5,1,2,3,4,5,6,7,8,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,4,4],
 [8,1,4,8,4,8,6,4,8,4],
 [9,1,4,9,4,9,6,4,4,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 129,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,5,0,3,5,5,5],
 [0,3,0,0,0,0,5,0,0,0],
 [0,4,5,0,5,0,3,5,5,5],
 [0,5,0,0,0,0,0,0,0,0],
 [0,6,3,5,3,0,4,3,3,3],
 [0,7,5,0,5,0,3,5,5,0],
 [0,8,5,0,5,0,3,0,5,5],
 [0,9,5,0,5,0,3,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,2,4,2,6,4,4,4],
 [3,1,2,3,4,3,6,7,8,9],
 [4,1,4,4,4,4,6,4,4,4],
 [5,1,2,3,4,5,6,7,8,9],
 [6,1,6,6,6,6,6,6,6,6],
 [7,1,4,7,4,7,6,7,4,4],
 [8,1,4,8,4,8,6,4,8,4],
 [9,1,4,9,4,9,6,4,4,9]], "-":[1, 0, 2, 4, 3, 6, 5, 8, 9, 7], "~":[1, 0, 2, 4, 3, 6, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 130,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,2],
 [0,3,0,2,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,7,0,7,8,9],
 [0,8,0,0,0,8,0,8,0,0],
 [0,9,2,3,0,9,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 131,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,3,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,8],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,7,0,7,8,8],
 [0,8,0,2,0,8,0,8,0,0],
 [0,9,0,2,0,8,0,8,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 132,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,3,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,7,0,7,8,8],
 [0,8,0,2,0,8,0,8,0,0],
 [0,9,0,2,0,9,0,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 133,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,3,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,7,0,7,8,9],
 [0,8,0,2,0,8,0,8,2,0],
 [0,9,0,2,0,9,0,9,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,3],
 [9,1,9,3,9,5,9,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 134,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,3,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,7,0,7,8,9],
 [0,8,0,2,0,8,0,8,2,0],
 [0,9,0,2,0,9,0,9,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 135,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,2],
 [0,3,0,2,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,8],
 [0,7,2,3,0,7,0,7,0,7],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,3,0,9,8,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,6,9],
 [7,1,7,7,7,5,7,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 136,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,2],
 [0,3,0,2,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,3,0,5,6,7,0,5],
 [0,6,0,0,0,6,0,0,0,6],
 [0,7,2,3,0,7,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,8,5,6,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,2,3,6,5,6,7,6,9],
 [7,1,7,7,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 137,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,2,0],
 [0,3,0,2,0,3,0,3,3,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,6],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,8,0,8,8,6],
 [0,8,2,3,0,8,0,8,8,0],
 [0,9,0,0,0,9,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,2],
 [3,1,3,3,3,5,3,7,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,8,8,5,8,7,8,8],
 [9,1,2,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 138,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,2,0],
 [0,3,0,2,0,3,0,3,3,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,8,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,7,0,8,8,4],
 [0,8,2,3,0,8,0,8,8,0],
 [0,9,0,0,0,6,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,2],
 [3,1,3,3,3,5,3,7,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,8,8,5,8,7,8,8],
 [9,1,2,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 139,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,2,0],
 [0,3,0,2,0,3,0,3,3,0],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,8,8,6],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,8,0,8,8,4],
 [0,8,2,3,0,8,0,8,8,0],
 [0,9,0,0,0,6,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,2],
 [3,1,3,3,3,5,3,7,8,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,8,8,5,8,7,8,8],
 [9,1,2,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 140,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,3,2,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,8,0,7,0,7,8,9],
 [0,8,0,2,0,8,0,8,2,0],
 [0,9,0,2,0,9,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 141,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,8,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,3,0,7,0,7,8,2],
 [0,8,0,2,0,8,0,8,2,0],
 [0,9,0,6,0,9,0,9,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 142,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,8,2,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,8,0,7,0,7,8,2],
 [0,8,0,2,0,8,0,8,2,0],
 [0,9,0,6,0,9,0,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,3],
 [9,1,9,3,9,5,9,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 143,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,3,0,8,2,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,2,8,0,7,0,7,8,2],
 [0,8,0,2,0,8,0,8,2,0],
 [0,9,0,6,0,9,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 144,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,6,0,0],
 [0,3,0,2,0,3,0,8,6,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,8],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,6,8,0,7,0,3,2,2],
 [0,8,0,6,0,8,0,2,0,0],
 [0,9,0,6,0,8,0,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 145,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,6,0,0],
 [0,3,0,2,0,3,0,8,6,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,8],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,6,8,0,7,0,8,6,6],
 [0,8,0,6,0,8,0,6,0,0],
 [0,9,0,6,0,8,0,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 146,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,6,0,0],
 [0,3,0,2,0,3,0,8,6,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,6,8,0,7,0,3,2,2],
 [0,8,0,6,0,8,0,2,0,0],
 [0,9,0,6,0,9,0,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 147,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,6,0,0],
 [0,3,0,2,0,3,0,8,6,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,6,8,0,7,0,8,6,6],
 [0,8,0,6,0,8,0,6,0,0],
 [0,9,0,6,0,9,0,6,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 148,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,6,0,0],
 [0,3,0,2,0,3,0,8,6,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,0,0,6,0,0,0,0],
 [0,7,6,8,0,7,0,9,6,2],
 [0,8,0,6,0,8,0,6,0,0],
 [0,9,0,6,0,9,0,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,7,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 149,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,2],
 [0,3,0,2,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,4],
 [0,5,2,3,0,5,8,7,8,7],
 [0,6,0,0,0,8,0,0,0,4],
 [0,7,2,3,0,7,0,7,0,7],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,3,4,7,4,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,6,9],
 [5,1,5,5,5,5,5,5,5,1],
 [6,1,2,3,6,5,6,7,6,9],
 [7,1,7,7,7,5,7,7,7,9],
 [8,1,2,3,6,5,6,7,8,9],
 [9,1,9,9,9,1,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 150,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,6,6,6],
 [0,6,0,2,0,6,0,0,0,0],
 [0,7,0,2,0,6,0,4,4,4],
 [0,8,0,2,0,6,0,4,0,0],
 [0,9,0,2,0,6,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 151,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,6,6,6],
 [0,6,0,2,0,6,0,0,0,0],
 [0,7,0,2,0,6,0,4,4,4],
 [0,8,0,2,0,6,0,4,4,0],
 [0,9,0,2,0,6,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 152,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,6,8,9],
 [0,6,0,2,0,6,0,0,0,2],
 [0,7,0,2,0,6,0,4,0,2],
 [0,8,0,2,0,8,0,0,0,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 153,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,6,8,8],
 [0,6,0,2,0,6,0,0,2,2],
 [0,7,0,2,0,6,0,4,2,2],
 [0,8,0,2,0,8,2,2,0,0],
 [0,9,0,2,0,8,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,3,3],
 [7,1,7,3,7,5,7,7,3,3],
 [8,1,8,3,8,5,3,3,8,9],
 [9,1,9,3,9,5,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 154,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,6,8,9],
 [0,6,0,2,0,6,0,0,2,2],
 [0,7,0,2,0,6,0,4,2,2],
 [0,8,0,2,0,8,2,2,0,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,3,3],
 [7,1,7,3,7,5,7,7,3,3],
 [8,1,8,3,8,5,3,3,8,9],
 [9,1,9,3,9,5,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 155,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,6,8,9],
 [0,6,0,2,0,6,0,0,2,2],
 [0,7,0,2,0,6,0,4,2,2],
 [0,8,0,2,0,8,2,2,2,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,3,3],
 [7,1,7,3,7,5,7,7,3,3],
 [8,1,8,3,8,5,3,3,8,3],
 [9,1,9,3,9,5,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 156,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,3,2,2,0,3],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,3,0,5,6,6,0,5],
 [0,6,0,2,0,6,0,0,0,6],
 [0,7,0,2,0,6,0,8,0,6],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,8,5,6,6,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 157,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,0,0,0,2],
 [0,7,0,2,0,7,0,2,0,2],
 [0,8,0,2,0,8,0,0,0,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 158,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,0,0,0,2],
 [0,7,0,2,0,7,0,2,2,2],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,3],
 [8,1,8,3,8,5,7,7,8,3],
 [9,1,9,3,9,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 159,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,0,0,0,0],
 [0,7,0,2,0,7,0,2,2,2],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,9,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 160,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,0,0,2,2],
 [0,7,0,2,0,7,0,2,2,2],
 [0,8,0,2,0,8,2,2,0,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,3,3],
 [7,1,7,3,7,5,7,7,3,3],
 [8,1,8,3,8,5,3,3,8,9],
 [9,1,9,3,9,5,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 161,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,0,0,2,2],
 [0,7,0,2,0,7,0,2,2,2],
 [0,8,0,2,0,8,2,2,2,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,3,3],
 [7,1,7,3,7,5,7,7,3,3],
 [8,1,8,3,8,5,3,3,8,3],
 [9,1,9,3,9,5,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 162,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,3,2,2,0,3],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,3,0,5,6,7,0,5],
 [0,6,0,2,0,6,0,0,0,6],
 [0,7,0,2,0,7,0,2,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,8,5,6,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 163,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,2,0,7,0,2,2,2],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,3,9],
 [7,1,7,3,7,5,3,7,7,3],
 [8,1,8,3,8,5,3,7,8,3],
 [9,1,9,3,9,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 164,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,2,0,7,0,2,2,2],
 [0,8,0,2,0,8,2,2,2,0],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,3,3],
 [7,1,7,3,7,5,3,7,3,3],
 [8,1,8,3,8,5,3,3,8,3],
 [9,1,9,3,9,5,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 165,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,3,2,2,0,3],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,3,0,5,6,7,0,5],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,2,0,7,0,2,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,8,5,6,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,3,6,9],
 [7,1,7,3,7,5,3,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 166,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,6],
 [0,6,0,2,0,6,0,0,0,0],
 [0,7,0,2,0,8,0,2,2,2],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,9,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 167,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,2,0,8,0,0,0,2],
 [0,8,0,2,0,8,0,0,0,0],
 [0,9,0,2,0,9,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 168,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,2,0,8,0,2,2,2],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,9,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,3,9],
 [7,1,7,3,7,5,3,7,7,3],
 [8,1,8,3,8,5,3,7,8,3],
 [9,1,9,3,9,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 169,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,8,8,6],
 [0,6,0,2,0,6,0,0,0,0],
 [0,7,0,2,0,8,0,2,2,4],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,6,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 170,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,8,8,6],
 [0,6,0,2,0,6,0,0,0,0],
 [0,7,0,2,0,8,0,2,2,4],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,6,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 171,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,8,8,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,2,0,8,0,2,2,4],
 [0,8,0,2,0,8,0,2,2,0],
 [0,9,0,2,0,6,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,3,9],
 [7,1,7,3,7,5,3,7,7,3],
 [8,1,8,3,8,5,3,7,8,3],
 [9,1,9,3,9,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 172,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,2],
 [0,3,0,2,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,6,0,6],
 [0,5,2,3,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,6,5,0,5,6,5],
 [0,8,0,0,0,0,0,6,0,0],
 [0,9,2,3,6,5,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 173,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,2],
 [0,3,0,2,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,8,0,6],
 [0,5,2,3,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,8],
 [0,7,2,3,8,5,0,5,0,5],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,6,5,8,5,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 174,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,7,8,9],
 [0,6,0,2,0,6,2,2,2,0],
 [0,7,0,2,0,7,0,2,2,2],
 [0,8,0,2,0,8,2,0,2,2],
 [0,9,0,2,0,9,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,3,3],
 [7,1,7,3,7,5,3,7,3,3],
 [8,1,8,3,8,5,3,3,8,3],
 [9,1,9,3,9,5,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 175,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,2],
 [0,3,0,2,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,6,0,8],
 [0,5,2,3,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,6,0,0],
 [0,7,2,3,8,5,0,7,8,5],
 [0,8,0,0,0,0,0,0,0,8],
 [0,9,2,3,6,5,6,5,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,4,9],
 [7,1,7,7,7,7,7,7,7,1],
 [8,1,2,3,4,5,4,7,8,9],
 [9,1,9,9,9,9,9,1,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 176,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,3,2,4,0,3],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,7,8,9],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,2,0,2,0,0,0,2],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,6,0,9,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 177,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,4,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,7,8,8],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,2,0,2,0,0,0,0],
 [0,8,0,2,0,8,2,0,0,0],
 [0,9,0,2,0,8,2,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,9],
 [9,1,9,3,9,5,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 178,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,4,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,7,8,9],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,2,0,2,0,0,0,0],
 [0,8,0,2,0,8,2,0,0,0],
 [0,9,0,2,0,9,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,9],
 [9,1,9,3,9,5,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 179,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,4,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,7,8,9],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,2,0,2,0,0,0,0],
 [0,8,0,2,0,8,2,0,2,0],
 [0,9,0,2,0,9,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,6],
 [9,1,9,3,9,5,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 180,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,7,8,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,2,0,2,0,0,0,2],
 [0,8,0,2,0,2,0,0,0,0],
 [0,9,0,2,0,9,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 181,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,3,2,4,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,7,8,9],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,8,0,2,0,0,0,2],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,6,0,9,6,2,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 182,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,8,8,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,2,0,2,0,0,0,4],
 [0,8,0,2,0,2,0,0,0,0],
 [0,9,0,2,0,6,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 183,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,3,2,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,8,8,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,2,0,2,0,4,0,4],
 [0,8,0,2,0,2,0,0,0,0],
 [0,9,0,2,0,6,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,9,6,9],
 [7,1,7,3,7,5,9,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 184,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,3,2,8,0,3],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,6,0,5,6,7,0,5],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,2,0,2,0,0,0,2],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,6,8,5,6,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 185,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,6,2,2,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,4,0,7,0,0,0,7],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,3,0,9,6,2,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 186,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,8,8],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,4,0,7,0,0,0,0],
 [0,8,0,2,0,8,2,0,0,0],
 [0,9,0,2,0,8,2,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,9],
 [9,1,9,3,9,5,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 187,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,4,0,7,0,0,0,0],
 [0,8,0,2,0,8,2,0,0,0],
 [0,9,0,2,0,9,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,9],
 [9,1,9,3,9,5,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 188,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,4,0,7,0,0,0,0],
 [0,8,0,2,0,8,2,0,2,0],
 [0,9,0,2,0,9,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,6],
 [9,1,9,3,9,5,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 189,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,2,9],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,4,0,7,0,0,0,4],
 [0,8,0,4,0,8,0,0,0,0],
 [0,9,0,2,0,6,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 190,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,6,2,8,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,4,0,7,0,0,0,2],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,6,0,9,6,2,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 191,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,2,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,4,0,8,0,0,0,4],
 [0,8,0,4,0,8,0,0,0,0],
 [0,9,0,2,0,6,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 192,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,3,0,5,6,2,2,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,4,0,8,0,4,0,4],
 [0,8,0,4,0,8,0,0,0,0],
 [0,9,0,2,0,6,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,9,6,9],
 [7,1,7,3,7,5,9,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 193,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,6,2,4,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,4,0,2,0,0,0,2],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,6,0,9,6,2,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 194,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,8,8],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,4,0,2,0,0,0,0],
 [0,8,0,2,0,8,2,0,0,0],
 [0,9,0,2,0,8,2,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,9],
 [9,1,9,3,9,5,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 195,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,4,0,2,0,0,0,0],
 [0,8,0,2,0,8,2,0,0,0],
 [0,9,0,2,0,9,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,9],
 [9,1,9,3,9,5,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 196,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,4,0,2,0,0,0,0],
 [0,8,0,2,0,8,2,0,2,0],
 [0,9,0,2,0,9,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,6],
 [9,1,9,3,9,5,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 197,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,2,6],
 [0,6,0,2,0,6,2,0,0,2],
 [0,7,0,4,0,2,0,0,0,4],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,2,0,6,2,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 198,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,6,2,4,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,8,9],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,4,0,2,0,4,0,2],
 [0,8,0,0,0,8,0,0,0,0],
 [0,9,2,6,0,9,6,2,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,6,9],
 [7,1,7,3,7,5,3,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 199,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,8,8],
 [0,6,0,2,0,6,2,0,2,2],
 [0,7,0,4,0,2,0,4,0,4],
 [0,8,0,2,0,8,2,0,0,0],
 [0,9,0,2,0,8,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,6,3],
 [7,1,7,3,7,5,3,7,9,9],
 [8,1,8,3,8,5,6,9,8,9],
 [9,1,9,3,9,5,3,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 200,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,6,2],
 [0,6,0,2,0,6,2,0,2,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,2,0,6,2,4,2,0],
 [0,9,0,4,0,2,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,8,8],
 [7,1,7,3,7,5,3,7,3,7],
 [8,1,8,3,8,5,8,3,8,8],
 [9,1,9,3,9,5,8,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 201,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,6,2],
 [0,6,0,2,0,6,2,0,2,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,2,0,6,2,4,2,0],
 [0,9,0,4,0,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,3,8,3],
 [7,1,7,3,7,5,3,7,3,7],
 [8,1,8,3,8,5,8,3,8,3],
 [9,1,9,3,9,5,3,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 202,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,5,6,2,6,2],
 [0,6,0,2,0,6,2,0,2,0],
 [0,7,0,4,0,2,0,4,4,0],
 [0,8,0,2,0,6,2,4,2,0],
 [0,9,0,4,0,2,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,8,8,6],
 [7,1,7,3,7,5,8,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 203,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,8,0,5,6,2,8,2],
 [0,6,0,2,0,6,2,0,2,0],
 [0,7,0,4,0,7,0,0,4,0],
 [0,8,0,2,0,6,2,2,2,0],
 [0,9,0,4,0,2,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,8,6],
 [7,1,7,3,7,5,6,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 204,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,8,0,5,8,2,8,9],
 [0,6,0,2,0,6,2,0,2,4],
 [0,7,0,4,0,2,0,0,0,0],
 [0,8,0,2,0,8,2,0,2,0],
 [0,9,0,2,0,2,2,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,8],
 [9,1,9,3,9,5,6,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 205,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,0],
 [0,3,0,2,0,6,2,2,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,8,0,5,2,2,8,8],
 [0,6,0,4,0,6,0,0,4,4],
 [0,7,0,4,0,6,0,4,4,4],
 [0,8,0,2,0,2,2,2,0,0],
 [0,9,0,2,0,2,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,3,3],
 [7,1,7,3,7,5,7,7,3,3],
 [8,1,8,3,8,5,3,3,8,9],
 [9,1,9,3,9,5,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 206,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,6,2,2,0,6],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,3,0,5,6,2,0,5],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,8,0,7,0,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,8,5,6,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 207,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,6,2,8,0,6],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,6,0,5,6,2,0,5],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,8,0,2,0,0,0,2],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,6,8,5,6,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 208,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,0,0,2],
 [0,3,0,2,0,6,2,8,0,6],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,2,6,0,5,6,2,0,5],
 [0,6,0,2,0,6,2,0,0,6],
 [0,7,0,8,0,2,0,8,0,2],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,6,8,5,6,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,3,6,9],
 [7,1,7,3,7,5,3,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 209,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,6,2,6,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,7,6,7,2,4],
 [0,6,0,2,0,6,2,6,0,0],
 [0,7,2,6,0,7,6,7,2,0],
 [0,8,0,4,0,2,0,2,0,0],
 [0,9,0,4,0,4,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,8],
 [3,1,3,3,3,5,3,5,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,6],
 [7,1,7,5,7,5,7,7,7,7],
 [8,1,8,3,8,5,6,7,8,8],
 [9,1,8,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 210,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,2,0,2,0,0],
 [0,3,0,2,0,6,2,6,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,2,6,0,7,6,7,2,4],
 [0,6,0,2,0,6,2,6,0,0],
 [0,7,2,6,0,7,6,7,2,0],
 [0,8,0,4,0,2,0,2,4,4],
 [0,9,0,4,0,4,0,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,8],
 [3,1,3,3,3,5,3,5,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,3,3],
 [7,1,7,5,7,5,7,7,5,5],
 [8,1,8,3,8,5,3,5,8,8],
 [9,1,8,3,9,5,3,5,8,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 211,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,3,2,2,4,3],
 [0,6,0,4,0,2,0,0,0,2],
 [0,7,0,4,0,2,0,4,0,2],
 [0,8,0,0,0,4,0,0,0,0],
 [0,9,4,6,0,3,2,2,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 212,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,3,2,2,2,6],
 [0,6,0,4,0,2,0,0,0,4],
 [0,7,0,4,0,2,0,4,0,4],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,2,0,6,4,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 213,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,3,2,2,2,8],
 [0,6,0,4,0,2,0,0,0,4],
 [0,7,0,4,0,2,0,4,0,4],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,2,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 214,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,3,2,2,2,2],
 [0,6,0,4,0,2,0,0,0,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,0,0],
 [0,9,0,4,0,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 215,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,3,2,2,2,6],
 [0,6,0,4,0,2,0,0,0,4],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,4,0],
 [0,9,0,2,0,6,4,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,3],
 [8,1,8,3,8,5,7,7,8,3],
 [9,1,9,3,9,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 216,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,3,2,2,2,2],
 [0,6,0,4,0,2,0,0,0,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,4,0],
 [0,9,0,4,0,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 217,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,8,2,2,6,4],
 [0,6,0,4,0,2,0,0,4,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,2,0,6,4,4,2,0],
 [0,9,0,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,7],
 [7,1,7,3,7,5,7,7,3,7],
 [8,1,8,3,8,5,8,3,8,3],
 [9,1,9,3,9,5,7,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 218,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,8,2,2,6,4],
 [0,6,0,4,0,2,0,0,4,0],
 [0,7,0,4,0,2,0,4,4,0],
 [0,8,0,2,0,6,4,4,2,0],
 [0,9,0,4,0,4,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,6],
 [7,1,7,3,7,5,7,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 219,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,8,2,2,9,4],
 [0,6,0,4,0,2,0,0,4,0],
 [0,7,0,4,0,2,0,4,4,0],
 [0,8,0,2,0,9,4,4,4,0],
 [0,9,0,4,0,4,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,6],
 [7,1,7,3,7,5,7,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 220,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,0,4],
 [0,8,0,0,0,4,0,0,0,0],
 [0,9,4,6,0,6,4,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 221,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,4,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,4,6,0,6,4,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,6,9],
 [3,1,3,3,3,5,3,3,3,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,6,3,8,5,6,7,8,9],
 [9,1,9,5,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 222,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,4,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,4,6,0,6,4,4,0,8]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,6,9],
 [3,1,3,3,3,5,3,3,3,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,6,3,8,5,6,7,8,9],
 [9,1,9,5,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 223,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,4,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,4,8,0,6,4,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,6,9],
 [3,1,3,3,3,5,3,3,3,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,6,3,8,5,6,7,8,9],
 [9,1,9,5,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 224,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,4,8],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,8],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,4,8,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,6,9],
 [3,1,3,3,3,5,3,3,3,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,6,3,8,5,6,7,8,9],
 [9,1,9,5,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 225,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,0,2,0,6,4,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 226,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,8],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,0,2,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 227,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,4,0,4,4,4],
 [0,8,0,4,0,4,0,4,0,0],
 [0,9,0,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 228,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,4,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,4,4],
 [0,8,0,4,0,4,0,4,4,0],
 [0,9,4,6,0,6,4,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,7,9],
 [3,1,3,3,3,5,3,3,3,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,5],
 [8,1,7,3,8,5,7,7,8,5],
 [9,1,9,5,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 229,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,4,4,4],
 [0,8,0,4,0,4,0,4,4,0],
 [0,9,0,2,0,6,4,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,3],
 [8,1,8,3,8,5,7,7,8,3],
 [9,1,9,3,9,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 230,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,6,4,4,4,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,4,0,4,4,4],
 [0,8,0,4,0,4,0,4,4,0],
 [0,9,0,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 231,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2,4,7],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,2,0,4,0,2],
 [0,8,0,0,0,4,0,0,0,0],
 [0,9,4,6,0,7,4,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 232,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2,2,2],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,0,0],
 [0,9,0,4,0,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 233,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2,2,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,4,0],
 [0,9,0,2,0,6,4,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,3],
 [8,1,8,3,8,5,7,7,8,3],
 [9,1,9,3,9,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 234,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2,2,2],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,4,0],
 [0,9,0,4,0,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 235,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,4,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2,4,7],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,2,0,4,0,2],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,4,6,0,7,4,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,6,9],
 [3,1,3,3,3,5,3,3,3,5],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,6,3,8,5,6,7,8,9],
 [9,1,9,5,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 236,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,2,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,0,2,0,6,4,4,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 237,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,2,4,8],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,2,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,0,2,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 238,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,4],
 [0,3,0,2,0,6,4,4,0,6],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,7,4,8,4,6],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,8,0,4,0,4],
 [0,8,0,0,0,4,0,0,0,0],
 [0,9,4,6,0,6,4,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,2,9],
 [3,1,3,3,3,5,3,3,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,8,5,6,7,8,9],
 [9,1,9,9,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 239,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,8,4,2,2,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,4,0],
 [0,9,0,4,0,4,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 240,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,8,4,2,2,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,2,0,4,4,0],
 [0,9,0,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 241,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,6,0,8,4,2,4,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,2,0,4,4,4],
 [0,8,0,4,0,4,0,4,0,0],
 [0,9,0,4,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 242,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,2,4,2],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,7,0,9,8,2,4,8],
 [0,6,0,2,0,2,4,0,0,4],
 [0,7,0,4,0,8,0,4,0,4],
 [0,8,0,4,0,4,0,0,0,0],
 [0,9,0,2,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,9,6,9],
 [7,1,7,3,7,5,9,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 243,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,7,0,7,4,4,2,4],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,4,0,0,4,0],
 [0,8,0,4,0,6,0,4,4,4],
 [0,9,0,4,0,4,0,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,8,9],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,9,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 244,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,2,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,7,0,9,4,4,2,2],
 [0,6,0,4,0,4,0,0,0,0],
 [0,7,0,4,0,4,0,0,4,0],
 [0,8,0,4,0,6,0,4,4,4],
 [0,9,0,4,0,2,0,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,8,9],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,9,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 245,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,7,0,6,4,4,4,7],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,0,0,0],
 [0,8,0,4,0,4,0,0,4,4],
 [0,9,0,2,0,2,4,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,8,9],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,8,8,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 246,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,0,0,0],
 [0,3,0,2,0,6,4,4,4,4],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,7,0,8,4,4,2,7],
 [0,6,0,4,0,4,0,0,0,4],
 [0,7,0,4,0,4,0,0,0,0],
 [0,8,0,4,0,2,0,0,4,4],
 [0,9,0,2,0,2,4,0,4,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,6,7,8,9],
 [3,1,3,3,3,5,3,3,3,3],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,8,9],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,8,8,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 247,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,6,0,0,4,0],
 [0,3,0,2,0,7,0,6,9,4],
 [0,4,0,0,0,0,0,0,4,0],
 [0,5,6,7,0,7,0,6,9,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,0,6,0,6,0,0,4,0],
 [0,8,4,9,4,9,0,4,8,9],
 [0,9,0,4,0,4,0,0,9,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,3,8,3],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,5,8,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,8,9],
 [8,1,8,8,8,8,8,8,8,8],
 [9,1,9,3,9,5,9,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 248,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,6,0,0,4,0],
 [0,3,0,2,0,7,0,6,9,4],
 [0,4,0,0,0,0,0,0,6,0],
 [0,5,6,7,0,9,0,4,3,2],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,0,6,0,4,0,0,2,0],
 [0,8,4,9,6,3,0,2,5,7],
 [0,9,0,4,0,2,0,0,7,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,3,8,3],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,5,8,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,8,9],
 [8,1,8,8,8,8,8,8,8,8],
 [9,1,9,3,9,5,9,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 249,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,6,0,0,4,0],
 [0,3,0,2,0,7,0,6,9,4],
 [0,4,0,0,0,0,0,0,6,0],
 [0,5,6,7,0,7,0,6,9,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,0,6,0,6,0,0,4,0],
 [0,8,4,9,6,9,0,4,5,7],
 [0,9,0,4,0,4,0,0,7,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,9],
 [3,1,3,3,3,5,3,3,8,3],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,5,8,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,8,9],
 [8,1,8,8,8,8,8,8,8,8],
 [9,1,9,3,9,5,9,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7], "~":[1, 0, 3, 2, 5, 4, 8, 9, 6, 7]}),
 
 Model(cardinality = 10, index = 250,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,2,2,2,0,2,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 251,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 252,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,5,9],
 [5,1,5,3,5,5,5,7,5,3],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,5,5,5,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 253,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,5,9],
 [5,1,5,3,5,5,5,7,5,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,5,5,8,7,8,7],
 [9,1,9,3,9,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 254,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,0],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,9],
 [5,1,5,3,5,5,5,7,5,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,5],
 [9,1,9,3,9,5,9,7,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 255,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,0,2,0,0],
 [0,9,0,2,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,7,7],
 [5,1,5,3,5,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,9],
 [9,1,9,3,7,7,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 256,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,0,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,7,3],
 [5,1,5,3,5,5,5,7,7,3],
 [6,1,6,3,4,5,6,7,7,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,7,7,7,7,8,3],
 [9,1,9,3,3,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 257,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,0,2,2,0],
 [0,9,0,2,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,7,7],
 [5,1,5,3,5,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,7],
 [9,1,9,3,7,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 258,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,0,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,3,3],
 [5,1,5,3,5,5,5,7,3,3],
 [6,1,6,3,4,5,6,7,3,3],
 [7,1,7,3,7,7,7,7,3,3],
 [8,1,8,3,3,3,3,3,8,9],
 [9,1,9,3,3,3,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 259,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,3,3],
 [5,1,5,3,5,5,5,7,3,3],
 [6,1,6,3,4,5,6,7,3,3],
 [7,1,7,3,7,7,7,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 260,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,0,2],
 [0,8,0,2,0,2,2,0,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,5,9],
 [5,1,5,3,5,5,5,3,5,3],
 [6,1,6,3,5,5,6,3,6,3],
 [7,1,7,3,7,3,3,7,3,9],
 [8,1,8,3,5,5,6,3,8,3],
 [9,1,9,3,9,3,3,9,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 261,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,5,9],
 [5,1,5,3,5,5,5,3,5,3],
 [6,1,6,3,5,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,5,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 262,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,8,9],
 [5,1,5,3,5,5,5,3,5,5],
 [6,1,6,3,5,5,6,3,5,5],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,8,5,5,3,8,5],
 [9,1,9,3,9,5,5,3,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 263,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,0,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,0,2,0,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,7,3],
 [5,1,5,3,5,5,5,3,3,3],
 [6,1,6,3,5,5,6,3,9,9],
 [7,1,7,3,7,3,3,7,7,3],
 [8,1,8,3,7,3,9,7,8,9],
 [9,1,9,3,3,3,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 264,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,0,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,0,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,7,3],
 [5,1,5,3,5,5,5,3,3,3],
 [6,1,6,3,5,5,6,3,3,9],
 [7,1,7,3,7,3,3,7,7,3],
 [8,1,8,3,7,3,3,7,8,3],
 [9,1,9,3,3,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 265,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,0,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,3,3],
 [5,1,5,3,5,5,5,3,3,3],
 [6,1,6,3,5,5,6,3,3,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,9],
 [9,1,9,3,3,3,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 266,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,3,3],
 [5,1,5,3,5,5,5,3,3,3],
 [6,1,6,3,5,5,6,3,3,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 267,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,0,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,7,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,3],
 [8,1,8,3,7,5,5,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 268,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,0,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 269,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,5],
 [7,1,7,3,7,5,5,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 270,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,0,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,3,3],
 [5,1,5,3,5,5,5,5,3,3],
 [6,1,6,3,6,5,6,5,3,3],
 [7,1,7,3,7,5,5,7,3,3],
 [8,1,8,3,3,3,3,3,8,9],
 [9,1,9,3,3,3,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 271,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,3,3],
 [5,1,5,3,5,5,5,5,3,3],
 [6,1,6,3,6,5,6,5,3,3],
 [7,1,7,3,7,5,5,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 272,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,2,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,2,0,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,0,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3,3,3],
 [5,1,5,3,5,5,3,3,3,3],
 [6,1,6,3,3,3,6,7,3,3],
 [7,1,7,3,3,3,7,7,3,3],
 [8,1,8,3,3,3,3,3,8,9],
 [9,1,9,3,3,3,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 273,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,2,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,2,0,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3,3,3],
 [5,1,5,3,5,5,3,3,3,3],
 [6,1,6,3,3,3,6,7,3,3],
 [7,1,7,3,3,3,7,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 274,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,2,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,2,2,0,0,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,0,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3,3,3],
 [5,1,5,3,5,5,3,3,3,3],
 [6,1,6,3,3,3,6,3,3,9],
 [7,1,7,3,3,3,3,7,7,3],
 [8,1,8,3,3,3,3,7,8,3],
 [9,1,9,3,3,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 275,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,2,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3,3,3],
 [5,1,5,3,5,5,3,3,3,3],
 [6,1,6,3,3,3,6,3,3,3],
 [7,1,7,3,3,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 276,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,2,0,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,0,0,0,0,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 277,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,2,2,0],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,2,0,2,2],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,5],
 [7,1,7,3,7,5,5,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 278,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,2,2,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,2,0,2,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,5,9],
 [5,1,5,3,5,5,5,3,5,3],
 [6,1,6,3,5,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,5,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 279,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,0,2,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,2,2,2,2,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,0,2,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,3,3,3,3],
 [5,1,5,3,5,5,3,3,3,3],
 [6,1,6,3,3,3,6,3,3,3],
 [7,1,7,3,3,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 280,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,0,2],
 [0,8,0,2,0,2,2,0,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,3,5,6,3,6,3],
 [7,1,7,3,7,3,3,7,3,9],
 [8,1,8,3,3,5,6,3,8,3],
 [9,1,9,3,9,3,3,9,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 281,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,3,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 282,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,0,0,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,3],
 [5,1,5,3,3,5,5,3,3,3],
 [6,1,6,3,3,5,6,3,3,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 283,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,0,0,2,2,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,8,7,8,7],
 [5,1,5,3,3,5,5,3,3,5],
 [6,1,6,3,8,5,6,3,8,5],
 [7,1,7,3,7,3,3,7,3,7],
 [8,1,8,3,8,3,8,3,8,3],
 [9,1,9,3,7,5,5,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 284,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,0,2,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,2,2,0,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,2,2,0],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3,3,3],
 [5,1,5,3,3,5,3,3,3,3],
 [6,1,6,3,3,3,6,3,3,3],
 [7,1,7,3,3,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 285,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,2,2,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,2,0,2,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,3,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 286,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,0,2,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,2,2,2,2,0],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,0,2,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3,3,3],
 [5,1,5,3,3,5,3,3,3,3],
 [6,1,6,3,3,3,6,3,3,3],
 [7,1,7,3,3,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 287,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,2,0,2,2,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,0,2,2,2,2],
 [0,7,0,2,2,2,2,2,2,0],
 [0,8,0,2,2,2,2,0,2,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3,3,3],
 [5,1,5,3,3,5,3,3,3,3],
 [6,1,6,3,3,3,6,3,3,3],
 [7,1,7,3,3,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 6, 4, 8, 9, 7], "~":[1, 0, 3, 2, 6, 4, 5, 9, 7, 8]}),
 
 Model(cardinality = 10, index = 288,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,0,2,2,2,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,0,0,2,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,0,0,0,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,3,9,9],
 [5,1,5,3,5,5,5,3,3,3],
 [6,1,6,3,5,5,6,7,7,3],
 [7,1,7,3,3,3,7,7,7,3],
 [8,1,8,3,9,3,7,7,8,9],
 [9,1,9,3,9,3,3,3,9,9]], "-":[1, 0, 3, 2, 5, 6, 7, 8, 9, 4], "~":[1, 0, 3, 2, 9, 4, 5, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 289,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,2,0,2,2,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,0,2,2,0,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,0,2,2,0,2,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,3],
 [5,1,5,3,3,5,3,3,5,3],
 [6,1,6,3,3,3,6,3,3,9],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,5,3,3,8,3],
 [9,1,9,3,3,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 6, 7, 8, 9, 4], "~":[1, 0, 3, 2, 9, 4, 5, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 290,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,2,2,2,2,2,2,2],
 [0,4,0,2,2,2,2,2,2,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,2,0,2,2,2,2],
 [0,7,0,2,2,2,0,2,2,2],
 [0,8,0,2,2,2,2,0,2,2],
 [0,9,0,2,2,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,3,3,3],
 [5,1,5,3,3,5,3,3,3,3],
 [6,1,6,3,3,3,6,3,3,3],
 [7,1,7,3,3,3,3,7,3,3],
 [8,1,8,3,3,3,3,3,8,3],
 [9,1,9,3,3,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 6, 7, 8, 9, 4], "~":[1, 0, 3, 2, 9, 4, 5, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 291,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,8,9],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,2,0,4],
 [0,6,0,4,0,2,0,0,0,4],
 [0,7,0,4,0,2,0,2,0,4],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,4,4,4,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 292,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,8,9],
 [0,4,0,4,0,0,0,0,0,8],
 [0,5,0,4,0,2,2,2,0,8],
 [0,6,0,4,0,2,0,0,0,8],
 [0,7,0,4,0,2,0,2,0,8],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,8,8,8,8,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 293,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,0,0,0,2],
 [0,7,0,4,0,2,0,2,0,2],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,4,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 294,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,0,0,0,2],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,0,2,2,0],
 [0,9,0,4,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,5],
 [8,1,8,3,8,5,7,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 295,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,0,0,0,0],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,0,2,2,0],
 [0,9,0,4,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 296,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,0,0,2,2],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,2,2,0,0],
 [0,9,0,4,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,5,5],
 [7,1,7,3,7,5,7,7,5,5],
 [8,1,8,3,8,5,5,5,8,9],
 [9,1,9,3,9,5,5,5,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 297,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,0,0,2,2],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,2,2,2,0],
 [0,9,0,4,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,5,5],
 [7,1,7,3,7,5,7,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 298,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,2,0,5],
 [0,6,0,4,0,2,0,0,0,6],
 [0,7,0,4,0,2,0,2,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 299,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,2,0,5],
 [0,6,0,4,0,2,0,0,0,6],
 [0,7,0,4,0,2,0,8,0,6],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,6,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 300,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,8,9],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,2,0,4],
 [0,6,0,4,0,2,2,0,0,4],
 [0,7,0,4,0,2,0,2,0,4],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,4,4,4,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 301,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,8,9],
 [0,4,0,4,0,0,0,0,0,8],
 [0,5,0,4,0,2,2,2,0,8],
 [0,6,0,4,0,2,2,0,0,8],
 [0,7,0,4,0,2,0,2,0,8],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,8,8,8,8,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 302,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,2,0,0,2],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,0,2,2,0],
 [0,9,0,4,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 303,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,2,0,2,2],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,2,2,2,0],
 [0,9,0,4,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,5],
 [7,1,7,3,7,5,5,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 304,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,2,0,5],
 [0,6,0,4,0,2,2,0,0,6],
 [0,7,0,4,0,2,0,2,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 305,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,2,0,6],
 [0,6,0,4,0,2,2,0,0,6],
 [0,7,0,4,0,8,0,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 306,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,8,0,5],
 [0,6,0,4,0,2,2,0,0,6],
 [0,7,0,4,0,2,0,0,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,6,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 307,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,8,0,6],
 [0,6,0,4,0,2,2,0,0,6],
 [0,7,0,4,0,8,0,0,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,6,6,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 308,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,2,8,0,6],
 [0,6,0,4,0,2,2,0,0,6],
 [0,7,0,4,0,8,0,8,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,6,6,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 309,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,4,4,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,4,0,2,8,8,0,6],
 [0,6,0,4,0,8,0,0,0,4],
 [0,7,0,4,0,8,0,8,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,4,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 310,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,2,0,4,0,4],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,4,4,0,7,8,9],
 [0,8,0,8,0,0,0,8,0,0],
 [0,9,0,9,4,4,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 311,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,4,0,8],
 [0,5,0,4,0,2,0,4,0,8],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,4,4,0,7,8,9],
 [0,8,0,8,0,0,0,8,0,0],
 [0,9,0,9,8,8,0,9,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 312,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,2,0,4,0,4],
 [0,6,0,6,0,0,0,0,0,8],
 [0,7,0,7,4,4,0,7,0,7],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,4,4,8,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 313,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,6,7,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,2,0,4,0,5],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,0,7,4,4,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 314,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,6],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,4,0,2,0,4,4,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,4,4,0,8,8,6],
 [0,8,0,8,4,4,0,8,8,0],
 [0,9,0,9,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 315,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,9],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,4,0,2,0,4,4,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,4,4,0,8,8,2],
 [0,8,0,8,4,4,0,8,8,0],
 [0,9,0,6,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 316,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,6],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,4,0,2,0,4,4,2],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,4,4,0,8,8,2],
 [0,8,0,8,4,4,0,8,8,0],
 [0,9,0,6,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,5],
 [5,1,5,3,5,5,5,7,7,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,7,8,7,8,7],
 [9,1,9,3,5,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 317,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,6],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,4,0,2,0,4,4,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,4,4,0,8,8,2],
 [0,8,0,8,4,4,0,8,8,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 318,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,6,0,6],
 [0,5,0,4,0,2,0,6,0,6],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,6,0,4,6,4],
 [0,8,0,8,0,0,0,6,0,0],
 [0,9,0,9,6,6,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 319,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,6,0,6],
 [0,5,0,4,0,2,0,6,0,6],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,6,0,4,6,8],
 [0,8,0,8,0,0,0,6,0,0],
 [0,9,0,9,6,6,0,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 320,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,6,7,0,3],
 [0,4,0,4,0,0,0,6,0,4],
 [0,5,0,4,0,2,0,6,0,5],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,0,7,6,6,0,4,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 321,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,6,0,6],
 [0,5,0,4,0,2,0,6,0,6],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,6,0,8,6,6],
 [0,8,0,8,0,0,0,6,0,0],
 [0,9,0,9,6,6,0,6,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 322,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,4,0,2,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,4,4,6],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,9,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 323,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,9],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,4,0,2,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,6,0,4,4,2],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,6,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 324,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,4,0,2,0,6,6,2],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,4,4,2],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,6,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,5],
 [5,1,5,3,5,5,5,7,7,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,7,8,7,8,7],
 [9,1,9,3,5,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 325,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,4,0,2,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,4,4,2],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 326,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,4,0,2,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,9,6,2],
 [0,8,0,8,6,6,0,6,6,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 327,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,4,0,2,0,9,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,9,0,5,4,2],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 328,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,8,0,6],
 [0,5,0,4,0,2,0,8,0,6],
 [0,6,0,6,0,0,0,0,0,8],
 [0,7,0,7,8,8,0,8,0,6],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,6,6,8,6,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 329,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,4,6,8,8,6],
 [0,4,0,4,0,0,4,0,0,4],
 [0,5,0,4,0,2,4,0,0,5],
 [0,6,0,6,4,4,6,0,0,6],
 [0,7,0,8,0,0,0,0,0,2],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,2,6,4,5,6,2,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,7,9],
 [3,1,3,3,3,3,3,3,3,1],
 [4,1,4,3,4,5,6,4,4,9],
 [5,1,5,3,5,5,6,5,5,9],
 [6,1,6,3,6,6,6,6,6,9],
 [7,1,7,3,4,5,6,7,7,9],
 [8,1,7,3,4,5,6,7,8,9],
 [9,1,9,1,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 330,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,2,0,2],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,2,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,4,5,0,7,8,9],
 [0,8,0,0,0,0,0,8,0,0],
 [0,9,2,3,4,5,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 331,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,2,0,2],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,2,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,8],
 [0,7,2,3,4,5,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,8,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 332,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,4,4,4,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,4,0,2,2,2,2,2],
 [0,6,0,4,0,2,2,2,2,0],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,2,0,2,2],
 [0,9,0,4,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,5],
 [7,1,7,3,7,5,5,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 333,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,4,6,7,8,9],
 [0,4,0,4,0,0,0,6,0,8],
 [0,5,0,4,0,2,0,6,0,8],
 [0,6,0,6,0,0,0,6,0,0],
 [0,7,0,7,8,8,0,7,8,8],
 [0,8,0,8,0,0,0,0,0,8],
 [0,9,0,9,6,6,6,6,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 334,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,2,2,0],
 [0,3,0,3,4,4,0,3,3,0],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,4,0,6,0,4,4,0],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,2,3,4,4,0,8,8,6],
 [0,8,2,3,4,4,0,8,8,0],
 [0,9,0,0,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,8,2],
 [3,1,3,3,3,3,3,7,8,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,8,8,8,8,8,7,8,8],
 [9,1,2,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 335,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,0],
 [0,3,0,3,4,4,0,3,4,4],
 [0,4,0,4,0,0,0,4,0,0],
 [0,5,0,4,0,6,0,4,6,6],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,3,4,4,0,3,4,4],
 [0,8,0,4,0,6,0,4,0,0],
 [0,9,0,4,0,6,0,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,8,9],
 [3,1,3,3,3,3,3,7,3,3],
 [4,1,4,3,4,5,4,7,8,9],
 [5,1,5,3,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 336,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,0],
 [0,3,0,3,4,4,0,3,4,4],
 [0,4,0,4,0,0,0,4,0,0],
 [0,5,0,4,0,6,0,4,6,6],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,3,4,4,0,3,4,4],
 [0,8,0,4,0,6,0,4,6,0],
 [0,9,0,4,0,6,0,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,8,9],
 [3,1,3,3,3,3,3,7,3,3],
 [4,1,4,3,4,5,4,7,8,9],
 [5,1,5,3,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,5],
 [9,1,9,3,9,5,9,7,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 337,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,0],
 [0,3,0,3,4,4,0,3,8,9],
 [0,4,0,4,0,0,0,4,0,8],
 [0,5,0,4,0,6,0,4,0,8],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,3,4,4,0,3,8,9],
 [0,8,0,8,0,0,0,8,0,0],
 [0,9,0,9,8,8,0,9,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,8,9],
 [3,1,3,3,3,3,3,7,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 338,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,6],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,6,0,4,0,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,3,4,4,0,3,6,3],
 [0,8,0,0,0,0,0,6,0,0],
 [0,9,6,3,4,4,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 339,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,2],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,6,0,4,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,6,3,4,4,0,3,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 340,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,6],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,6,0,4,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,8,3,4,4,0,3,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,3,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 341,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,2],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,6,0,4,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,6,3,4,4,0,3,0,3],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,6,3,4,5,6,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 342,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,6],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,6,0,4,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,8,3,4,4,0,3,0,3],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,6,3,4,5,6,3,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 343,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,6],
 [0,3,0,3,4,4,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,4,0,6,0,4,0,4],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,8,3,4,4,0,9,6,3],
 [0,8,0,0,0,0,0,6,0,0],
 [0,9,6,3,4,4,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 344,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,9],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,7,0,7,8,9],
 [0,8,0,8,0,8,0,8,0,0],
 [0,9,0,9,0,9,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 345,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,9],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,7,0,7,8,9],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,9,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 346,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,9],
 [0,6,0,6,0,6,0,0,0,8],
 [0,7,0,7,0,7,0,7,0,7],
 [0,8,0,8,0,8,0,0,0,0],
 [0,9,0,9,0,9,8,7,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 347,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,8],
 [0,5,0,5,0,5,6,7,0,5],
 [0,6,0,6,0,6,0,0,0,6],
 [0,7,0,7,0,7,0,7,0,7],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,8,5,6,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 348,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,7,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,5,6,7,0,5],
 [0,6,0,6,0,6,0,0,0,6],
 [0,7,0,7,0,7,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 349,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,9],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,7,0,8,9,6],
 [0,8,0,8,0,8,0,9,6,0],
 [0,9,0,9,0,9,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 350,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,9],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,7,0,8,8,6],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,9,0,6,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 351,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,9],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,7,0,8,6,6],
 [0,8,0,8,0,8,0,6,0,0],
 [0,9,0,9,0,9,0,6,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 352,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,9],
 [0,6,0,6,0,6,0,0,0,6],
 [0,7,0,7,0,7,0,8,8,6],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,9,6,6,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,5],
 [8,1,8,3,8,5,7,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 353,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,8],
 [0,5,0,5,0,5,6,7,0,5],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,7,0,7,0,7],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,8,5,6,7,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 354,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,7,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,5,6,7,0,5],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,7,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 355,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,8,0,8,8,6],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,9,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 356,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,8,0,0,0,8],
 [0,8,0,8,0,8,0,0,0,0],
 [0,9,0,9,0,9,6,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 357,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,8,0,8,8,4],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,4,6,6,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,7,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,3],
 [8,1,8,3,7,5,5,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 358,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,8,0,0,0,4],
 [0,8,0,8,0,8,0,0,0,0],
 [0,9,0,9,4,6,6,4,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,7,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,7,5,6,7,8,9],
 [9,1,9,3,9,3,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 359,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,8,0,8,8,4],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,6,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 360,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,8,0,8,8,4],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,6,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 361,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,7,0,8,0,9,6,4],
 [0,8,0,8,0,8,0,6,6,0],
 [0,9,0,9,0,6,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 362,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,8,0,8,8,4],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,6,6,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 363,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,8,0,8,0,8,8,4],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,6,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 364,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,8,0,8,8,4],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 365,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,8,0,0,0,4],
 [0,8,0,8,0,8,0,0,0,0],
 [0,9,0,9,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 366,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,8,0,8,0,8,8,6],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,9,0,9,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 367,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,7,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,8,0,0,0,8],
 [0,8,0,8,0,8,0,0,0,0],
 [0,9,0,9,0,9,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 368,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,8,0,8,0,8,8,2],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,6,0,6,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 369,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,8,0,8,0,9,6,2],
 [0,8,0,8,0,8,0,6,6,0],
 [0,9,0,6,0,6,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 370,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,0,0,0,0],
 [0,7,0,8,0,8,0,8,8,2],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,6,0,6,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 371,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,5,6,8,8,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,8,0,8,8,2],
 [0,8,0,8,0,8,0,8,8,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 372,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,5,0,5,0,5,5,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,4,5,0,8,8,6],
 [0,8,0,8,4,5,0,8,8,0],
 [0,9,0,9,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 373,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,5,0,5,0,5,5,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,4,5,0,8,8,2],
 [0,8,0,8,4,5,0,8,8,0],
 [0,9,0,6,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 374,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,5,0,5,0,5,5,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,4,5,0,8,8,2],
 [0,8,0,8,4,5,0,8,8,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 375,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,6,0,6],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,5,0,5,6,5],
 [0,8,0,8,0,0,0,6,0,0],
 [0,9,0,9,6,5,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 376,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,7,0,3],
 [0,4,0,4,0,0,0,6,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,0,7,6,5,0,5,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 377,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,5,0,5,5,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,5,0,5,5,6],
 [0,8,0,8,6,5,0,5,5,0],
 [0,9,0,9,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 378,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,5,0,5,5,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,5,0,5,5,2],
 [0,8,0,8,6,5,0,5,5,0],
 [0,9,0,6,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 379,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,5,0,5,5,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,5,0,5,5,2],
 [0,8,0,8,6,5,0,5,5,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 380,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,8,0,6],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,6,0,0,0,0,0,8],
 [0,7,0,7,8,5,0,5,0,5],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,6,5,8,5,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 381,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,2],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,4,0,0,4],
 [0,5,0,5,0,5,5,0,0,5],
 [0,6,0,6,4,5,6,0,0,6],
 [0,7,0,8,0,0,0,0,0,2],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,2,6,4,5,6,2,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,7,9],
 [3,1,3,3,3,3,3,3,3,1],
 [4,1,4,3,4,5,6,4,4,9],
 [5,1,5,3,5,5,6,5,5,9],
 [6,1,6,3,6,6,6,6,6,9],
 [7,1,7,3,4,5,6,7,7,9],
 [8,1,7,3,4,5,6,7,8,9],
 [9,1,9,1,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 382,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,3,4,5,0,3,6,3],
 [0,8,0,0,0,0,0,6,0,0],
 [0,9,6,3,4,5,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 383,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,8],
 [0,7,8,3,4,5,0,3,0,3],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,6,3,4,5,8,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 384,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,6,0,8],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,6,0,0,0,6,0,0],
 [0,7,0,7,8,5,0,7,8,5],
 [0,8,0,8,0,0,0,0,0,8],
 [0,9,0,9,6,5,6,5,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 385,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,8],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,6,0,0],
 [0,7,8,3,4,5,0,7,8,3],
 [0,8,0,0,0,0,0,0,0,8],
 [0,9,6,3,4,5,6,3,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,2,9],
 [7,1,7,7,7,7,7,7,7,1],
 [8,1,2,3,4,5,2,7,8,9],
 [9,1,9,9,9,9,9,1,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 386,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,7,4,4,6],
 [0,6,0,6,0,7,4,0,0,7],
 [0,7,0,7,0,4,0,0,0,4],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,9,0,6,7,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 387,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,7,4,7,7],
 [0,6,0,6,0,7,4,0,4,4],
 [0,7,0,7,0,4,0,0,0,0],
 [0,8,0,8,0,7,4,0,0,0],
 [0,9,0,9,0,7,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,9],
 [9,1,9,3,9,5,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 388,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,7,4,7,7],
 [0,6,0,6,0,7,4,0,4,4],
 [0,7,0,7,0,4,0,0,0,0],
 [0,8,0,8,0,7,4,0,4,0],
 [0,9,0,9,0,7,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,6],
 [9,1,9,3,9,5,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 389,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,7,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,6,7,4,0,5],
 [0,6,0,6,0,7,4,0,0,6],
 [0,7,0,7,0,4,0,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 390,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,9,7],
 [0,6,0,6,0,8,9,0,7,4],
 [0,7,0,7,0,4,0,0,0,0],
 [0,8,0,8,0,9,7,0,4,0],
 [0,9,0,9,0,7,4,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,8],
 [9,1,9,3,9,5,6,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 391,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,8,7],
 [0,6,0,6,0,8,8,0,8,4],
 [0,7,0,7,0,4,0,0,0,0],
 [0,8,0,8,0,8,8,0,8,0],
 [0,9,0,9,0,7,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,6],
 [9,1,9,3,9,5,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 392,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,8,7],
 [0,6,0,6,0,8,8,0,8,4],
 [0,7,0,7,0,4,0,0,0,4],
 [0,8,0,8,0,8,8,0,8,0],
 [0,9,0,9,0,7,4,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,5],
 [7,1,7,3,7,5,6,7,6,9],
 [8,1,8,3,8,5,6,6,8,5],
 [9,1,9,3,9,5,5,9,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 393,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,4,7],
 [0,6,0,6,0,8,4,0,0,4],
 [0,7,0,7,0,4,0,0,0,4],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,9,0,7,4,4,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 394,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,4,8],
 [0,6,0,6,0,8,4,0,0,4],
 [0,7,0,7,0,4,0,0,0,4],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,9,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 395,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,8,8],
 [0,6,0,6,0,6,6,0,8,8],
 [0,7,0,7,0,4,0,4,0,4],
 [0,8,0,8,0,8,8,0,0,0],
 [0,9,0,9,0,8,8,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,6,5],
 [7,1,7,3,7,5,5,7,9,9],
 [8,1,8,3,8,5,6,9,8,9],
 [9,1,9,3,9,5,5,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 396,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,4,0,4,4,4],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,9,0,6,6,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 397,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,6,4],
 [0,6,0,6,0,6,6,0,6,0],
 [0,7,0,7,0,4,0,4,4,4],
 [0,8,0,8,0,6,6,4,6,0],
 [0,9,0,9,0,4,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,8,8],
 [7,1,7,3,7,5,5,7,5,7],
 [8,1,8,3,8,5,8,5,8,8],
 [9,1,9,3,9,5,8,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 398,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,7,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,6,6,4,0,5],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,4,0,4,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 399,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,6,8,4,8,7],
 [0,6,0,6,0,8,8,0,8,4],
 [0,7,0,7,0,4,0,4,0,7],
 [0,8,0,8,0,8,8,0,8,0],
 [0,9,0,9,4,7,4,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,6,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,5,6,3],
 [7,1,7,3,7,5,5,7,5,9],
 [8,1,8,3,6,5,6,5,8,3],
 [9,1,9,3,9,3,3,9,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 400,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,6],
 [0,6,0,6,0,4,0,0,0,4],
 [0,7,0,7,0,4,0,4,0,4],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,9,0,6,4,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 401,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,8],
 [0,6,0,6,0,4,0,0,0,4],
 [0,7,0,7,0,4,0,4,0,4],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,9,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 402,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,4],
 [0,6,0,6,0,4,0,0,0,0],
 [0,7,0,7,0,4,0,4,4,4],
 [0,8,0,8,0,4,0,4,0,0],
 [0,9,0,9,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 403,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,6],
 [0,6,0,6,0,4,0,0,0,4],
 [0,7,0,7,0,4,0,4,4,4],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,9,0,6,4,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,5],
 [8,1,8,3,8,5,7,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 404,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,4],
 [0,6,0,6,0,4,0,0,0,0],
 [0,7,0,7,0,4,0,4,4,4],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,9,0,4,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 405,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,7,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,5,0,6,4,4,0,5],
 [0,6,0,6,0,4,0,0,0,6],
 [0,7,0,7,0,4,0,4,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 406,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,6,4],
 [0,6,0,6,0,6,6,0,6,0],
 [0,7,0,7,0,4,0,4,4,0],
 [0,8,0,8,0,6,6,4,6,0],
 [0,9,0,9,0,4,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,8,8,6],
 [7,1,7,3,7,5,8,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 407,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,9,4,9,4],
 [0,6,0,6,0,9,4,0,4,0],
 [0,7,0,7,0,4,0,4,4,0],
 [0,8,0,8,0,9,4,4,4,0],
 [0,9,0,9,0,4,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,8,8,6],
 [7,1,7,3,7,5,8,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 408,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,7,0,3],
 [0,4,0,4,0,0,0,4,0,4],
 [0,5,0,5,0,6,6,4,0,5],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,4,4,0,7,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,7,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,5,7,4,9],
 [5,1,5,3,5,5,5,3,5,9],
 [6,1,6,3,5,5,6,3,6,9],
 [7,1,7,3,7,3,3,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 409,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,4,0,0,0,4],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,9,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 410,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,4,8],
 [0,6,0,6,0,8,4,0,0,4],
 [0,7,0,8,0,4,0,0,0,4],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,9,0,8,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 411,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,4],
 [0,6,0,6,0,4,0,0,0,0],
 [0,7,0,8,0,4,0,4,4,4],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,9,0,4,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 412,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,4,0,4,4,4],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,9,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 413,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,6,0,4,4,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,4,0,5,5,6],
 [0,8,0,8,6,4,0,5,5,0],
 [0,9,0,9,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 414,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,4,0,0,0,2],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,6,0,6,6,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 415,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,4,8],
 [0,6,0,6,0,8,4,0,0,4],
 [0,7,0,7,0,4,0,0,0,2],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,6,0,8,4,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 416,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,4],
 [0,6,0,6,0,4,0,0,0,0],
 [0,7,0,7,0,4,0,4,4,2],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,6,0,4,0,4,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 417,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,4,0,4,4,2],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,6,0,6,6,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 418,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,6,0,4,4,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,4,0,5,5,2],
 [0,8,0,8,6,4,0,5,5,0],
 [0,9,0,6,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 419,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,4,0,0,0,2],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 420,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,4,8],
 [0,6,0,6,0,8,4,0,0,4],
 [0,7,0,8,0,4,0,0,0,2],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,6,0,8,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 421,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,4,0,2,0,2],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,9,6,9],
 [7,1,7,3,7,5,9,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 422,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,8,4,4,8],
 [0,6,0,6,0,8,4,0,0,4],
 [0,7,0,8,0,4,0,2,0,2],
 [0,8,0,8,0,4,0,0,0,0],
 [0,9,0,6,0,8,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,9,6,9],
 [7,1,7,3,7,5,9,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 423,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,4],
 [0,6,0,6,0,4,0,0,0,0],
 [0,7,0,8,0,4,0,4,4,2],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,6,0,4,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,8],
 [9,1,9,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 424,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,4,4,4,4],
 [0,6,0,6,0,4,0,0,0,0],
 [0,7,0,8,0,4,0,4,4,2],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,6,0,4,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 425,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,4,0,4,4,2],
 [0,8,0,8,0,4,0,4,4,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 426,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,4,4,0],
 [0,5,0,5,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,4,4,0,8,8,2],
 [0,8,0,8,4,4,0,8,8,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,8,5],
 [5,1,5,3,5,5,5,3,3,5],
 [6,1,6,3,5,5,6,3,3,9],
 [7,1,7,3,7,3,3,7,7,3],
 [8,1,8,3,8,3,3,7,8,3],
 [9,1,9,3,5,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 427,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,6,0,4,4,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,4,0,5,5,2],
 [0,8,0,8,6,4,0,5,5,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 428,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,6,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,4,4,6],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,9,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 429,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,6,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,6,6,0,4,4,2],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,6,0,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 430,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,6,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,4,4,2],
 [0,8,0,8,6,6,0,4,4,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 431,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,0,0,0,6,6,0],
 [0,5,0,5,0,6,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,9,6,2],
 [0,8,0,8,6,6,0,6,6,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,4],
 [5,1,5,3,5,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 432,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,4,0,8,8,8,8],
 [0,5,0,5,0,5,5,0,0,5],
 [0,6,0,6,8,5,5,0,0,5],
 [0,7,0,8,8,0,0,0,0,2],
 [0,8,0,8,8,0,0,0,0,0],
 [0,9,0,6,8,5,5,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,4,4,3],
 [5,1,5,3,3,5,6,6,6,9],
 [6,1,6,3,3,6,6,6,6,9],
 [7,1,7,3,4,6,6,7,7,9],
 [8,1,8,3,4,6,6,7,8,9],
 [9,1,9,3,3,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 433,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,4,0,8,8,8,8],
 [0,5,0,5,0,5,5,0,0,5],
 [0,6,0,6,8,5,5,0,0,5],
 [0,7,0,8,8,0,0,2,0,2],
 [0,8,0,8,8,0,0,0,0,0],
 [0,9,0,6,8,5,5,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,4,4,3],
 [5,1,5,3,3,5,6,9,6,9],
 [6,1,6,3,3,6,6,9,6,9],
 [7,1,7,3,4,9,9,7,7,9],
 [8,1,8,3,4,6,6,7,8,9],
 [9,1,9,3,3,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 434,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,9],
 [0,4,0,4,4,0,8,7,8,7],
 [0,5,0,5,0,5,5,0,0,5],
 [0,6,0,6,8,5,6,0,8,5],
 [0,7,0,7,7,0,0,7,0,7],
 [0,8,0,8,8,0,8,0,8,0],
 [0,9,0,9,7,5,5,7,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,4,4,3],
 [5,1,5,3,3,5,6,9,6,9],
 [6,1,6,3,3,6,6,3,6,3],
 [7,1,7,3,4,9,3,7,4,9],
 [8,1,8,3,4,6,6,4,8,3],
 [9,1,9,3,3,9,3,9,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 435,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,2,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,8,3,4,5,0,7,8,9],
 [0,8,0,0,0,0,0,8,0,0],
 [0,9,8,3,4,5,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,3,4,7,4,9],
 [5,1,5,3,3,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 436,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,6,3,4,5,0,3,6,3],
 [0,8,0,0,0,0,0,6,0,0],
 [0,9,6,3,4,5,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,3,4,7,4,9],
 [5,1,5,3,3,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 437,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,8,3,4,5,0,3,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,2,3,4,5,6,3,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,3,4,7,4,9],
 [5,1,5,3,3,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 438,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,8,3,4,5,0,3,0,3],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,6,3,4,5,6,3,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,3,4,7,4,9],
 [5,1,5,3,3,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 439,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,8],
 [0,7,8,3,4,5,0,3,0,3],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,6,3,4,5,8,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,3,4,7,4,9],
 [5,1,5,3,3,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,6,9],
 [7,1,7,7,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 440,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,6],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,0,0,6],
 [0,7,8,3,4,5,0,7,8,3],
 [0,8,0,0,0,0,0,8,0,0],
 [0,9,6,3,4,5,6,3,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,3,4,7,4,9],
 [5,1,5,3,3,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,2,9],
 [7,1,7,7,7,7,7,7,7,1],
 [8,1,2,3,4,5,2,7,8,9],
 [9,1,9,9,9,9,9,1,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 441,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,6,0,8],
 [0,3,0,3,4,5,0,3,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,5,0,5,0,5,0,5],
 [0,6,0,0,0,0,0,6,0,0],
 [0,7,8,3,4,5,0,7,8,3],
 [0,8,0,0,0,0,0,0,0,8],
 [0,9,6,3,4,5,6,3,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,2,7,2,9],
 [3,1,3,3,3,3,3,7,3,9],
 [4,1,4,3,4,3,4,7,4,9],
 [5,1,5,3,3,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,2,9],
 [7,1,7,7,7,7,7,7,7,1],
 [8,1,2,3,4,5,2,7,8,9],
 [9,1,9,9,9,9,9,1,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 442,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,7,8,6],
 [0,4,0,4,4,0,4,0,0,4],
 [0,5,0,5,0,8,8,0,0,8],
 [0,6,0,6,4,8,4,0,0,4],
 [0,7,0,8,0,0,0,0,0,8],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,4,8,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,4,9],
 [5,1,5,3,6,5,6,5,5,9],
 [6,1,6,3,6,6,6,6,6,9],
 [7,1,7,3,4,5,6,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 443,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,9],
 [0,4,0,4,4,0,4,0,0,4],
 [0,5,0,5,0,8,8,0,0,8],
 [0,6,0,6,4,8,4,0,0,4],
 [0,7,0,7,0,0,0,0,0,2],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,6,4,8,4,8,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,4,9],
 [5,1,5,3,6,5,6,5,5,9],
 [6,1,6,3,6,6,6,6,6,9],
 [7,1,7,3,4,5,6,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 444,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,4,0,4,0,0,4],
 [0,5,0,5,0,8,8,0,0,8],
 [0,6,0,6,4,8,4,0,0,4],
 [0,7,0,8,0,0,0,0,0,2],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,6,4,8,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,4,9],
 [5,1,5,3,6,5,6,5,5,9],
 [6,1,6,3,6,6,6,6,6,9],
 [7,1,7,3,4,5,6,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 445,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,8,8,6],
 [0,4,0,4,6,0,0,6,6,0],
 [0,5,0,5,0,6,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,6,0,9,6,2],
 [0,8,0,8,6,6,0,6,6,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,8,4,7,8,4],
 [5,1,5,3,8,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 446,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4,4,9],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,2,0,0,0,2],
 [0,8,0,8,0,2,0,0,0,0],
 [0,9,0,6,0,6,6,4,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 447,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4,8,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,6,0,0,0,6,0,6],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,7,4,2,0,4,2,4],
 [0,8,0,6,0,0,0,6,0,0],
 [0,9,0,9,4,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 448,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4,4,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,2,0,0,0,2],
 [0,8,0,8,0,2,0,0,0,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 449,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4,4,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,6,6,4,4,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,8,0,2,0,2,0,2],
 [0,8,0,8,0,2,0,0,0,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,9,6,9],
 [7,1,7,3,7,5,9,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 450,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4,4,6],
 [0,4,0,4,4,0,0,4,4,0],
 [0,5,0,6,0,0,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,4,2,0,4,4,2],
 [0,8,0,8,4,2,0,4,4,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,8,4],
 [5,1,5,3,4,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 451,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,5,6,4,4,6],
 [0,4,0,4,6,0,0,6,6,0],
 [0,5,0,6,0,0,0,6,6,0],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,0,8,6,2,0,9,6,2],
 [0,8,0,8,6,2,0,6,6,0],
 [0,9,0,6,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,8,4],
 [5,1,5,3,4,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 452,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,2,0,0],
 [0,3,0,3,4,5,6,4,6,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,6,0,0,0,5,0,6],
 [0,6,0,6,0,0,0,0,0,0],
 [0,7,2,9,4,2,0,7,2,9],
 [0,8,0,6,0,0,0,2,0,0],
 [0,9,0,9,4,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,8,7,8,9],
 [3,1,3,3,3,3,3,1,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,8,3,4,5,6,7,8,9],
 [7,1,7,1,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 453,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,6,0,6,6,4,0,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,7,0,8,0,0,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 454,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,5,6,4,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,6,0,0,0,6,0,6],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,0,7,4,8,0,4,0,7],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,5,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 455,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,4,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,6,6,2,2,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,4,0,2,0,0,0,2],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 456,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,4,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,7,4,2,2,7],
 [0,6,0,6,0,4,4,0,0,4],
 [0,7,0,4,0,2,0,0,0,2],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,6,0,7,4,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 457,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,4,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,7,4,2,2,8],
 [0,6,0,6,0,4,4,0,0,4],
 [0,7,0,4,0,2,0,0,0,2],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,6,0,8,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 458,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,4,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,8,4,2,2,4],
 [0,6,0,6,0,4,4,0,0,4],
 [0,7,0,4,0,2,0,0,0,2],
 [0,8,0,4,0,2,0,0,0,0],
 [0,9,0,6,0,4,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 459,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,4,6],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,6,6,2,2,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,4,0,2,0,2,2,0],
 [0,9,0,6,0,6,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 460,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,6,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,6,6,2,6,2],
 [0,6,0,6,0,6,6,0,6,0],
 [0,7,0,4,0,2,0,2,2,2],
 [0,8,0,6,0,6,6,2,6,0],
 [0,9,0,4,0,2,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,8,8],
 [7,1,7,3,7,5,5,7,5,7],
 [8,1,8,3,8,5,8,5,8,8],
 [9,1,9,3,9,5,8,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 461,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,6,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,6,6,2,6,2],
 [0,6,0,6,0,6,6,0,6,0],
 [0,7,0,4,0,2,0,2,2,0],
 [0,8,0,6,0,6,6,2,6,0],
 [0,9,0,4,0,2,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,8,8,6],
 [7,1,7,3,7,5,8,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 462,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,6,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,6,0,9,4,2,4,2],
 [0,6,0,6,0,4,4,0,4,0],
 [0,7,0,4,0,2,0,2,2,0],
 [0,8,0,6,0,4,4,2,4,0],
 [0,9,0,4,0,2,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,8,8,6],
 [7,1,7,3,7,5,8,7,8,7],
 [8,1,8,3,8,5,8,8,8,8],
 [9,1,9,3,9,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 463,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,6,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,6,0,6,6,2,6,2],
 [0,6,0,6,0,6,6,0,6,0],
 [0,7,0,4,4,2,0,4,2,4],
 [0,8,0,6,0,6,6,2,6,0],
 [0,9,0,4,4,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,3,5,6,3,8,3],
 [7,1,7,3,7,3,3,7,3,7],
 [8,1,8,3,3,5,8,3,8,3],
 [9,1,9,3,9,3,3,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 464,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,8,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,8,0,7,4,2,4,4],
 [0,6,0,8,0,4,4,0,4,4],
 [0,7,0,4,0,2,0,0,0,0],
 [0,8,0,8,0,4,4,0,4,0],
 [0,9,0,9,0,2,2,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,8],
 [9,1,9,3,9,5,6,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 465,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,8,4],
 [0,4,0,4,0,0,0,0,0,0],
 [0,5,0,8,0,8,8,2,8,4],
 [0,6,0,8,0,8,8,0,8,4],
 [0,7,0,4,0,2,0,0,0,0],
 [0,8,0,8,0,8,8,0,8,0],
 [0,9,0,9,0,2,2,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,6,6,6],
 [7,1,7,3,7,5,6,7,8,9],
 [8,1,8,3,8,5,6,8,8,8],
 [9,1,9,3,9,5,6,9,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 466,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,8,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,8,0,0,0,2,0,8],
 [0,6,0,8,0,0,0,0,0,8],
 [0,7,0,4,4,2,0,4,0,4],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,4,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 467,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,3,4,6,6,4,8,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,8,0,2,0,2,0,8],
 [0,6,0,8,0,0,0,0,0,8],
 [0,7,0,4,4,2,0,4,0,4],
 [0,8,0,8,0,0,0,0,0,0],
 [0,9,0,9,4,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,4,9],
 [5,1,5,3,7,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 468,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,6,6,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,6,0,6,6,8,0,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,4,0,8,0,0,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 469,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,6,6,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,6,0,7,4,8,0,6],
 [0,6,0,6,0,4,4,0,0,6],
 [0,7,0,4,0,8,0,0,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,6,6,9],
 [7,1,7,3,7,5,6,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 470,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,6,6,4,0,3],
 [0,4,0,4,0,0,0,0,0,4],
 [0,5,0,6,0,6,6,8,0,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,4,0,8,0,8,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,5,6,7,4,9],
 [5,1,5,3,5,5,5,5,5,9],
 [6,1,6,3,6,5,6,5,6,9],
 [7,1,7,3,7,5,5,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 471,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,8],
 [0,3,0,3,4,6,6,4,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,6,0,6,6,8,0,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,0,4,4,8,0,4,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,2,9],
 [3,1,3,3,3,3,3,3,3,9],
 [4,1,4,3,4,3,3,7,4,9],
 [5,1,5,3,3,5,5,3,5,9],
 [6,1,6,3,3,5,6,3,6,9],
 [7,1,7,3,7,3,3,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 472,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,8],
 [0,3,0,3,4,6,6,4,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,6,0,0,0,8,0,6],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,8,4,4,8,0,4,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,5,7,2,9],
 [3,1,3,3,3,3,3,9,3,9],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,5,3,4,5,6,7,6,9],
 [7,1,7,9,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 473,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,8],
 [0,3,0,3,4,6,6,4,0,3],
 [0,4,0,4,6,0,0,6,0,4],
 [0,5,0,6,0,0,0,8,0,6],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,8,4,6,8,0,5,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,5,7,2,9],
 [3,1,3,3,3,3,3,9,3,9],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,5,3,4,5,6,7,6,9],
 [7,1,7,9,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 474,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,8],
 [0,3,0,3,4,6,6,4,0,3],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,6,0,6,6,8,0,6],
 [0,6,0,6,0,6,6,0,0,6],
 [0,7,8,4,4,8,0,4,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,4,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,5,7,2,9],
 [3,1,3,3,3,3,3,9,3,9],
 [4,1,4,3,4,3,3,7,4,9],
 [5,1,5,3,3,5,5,9,5,9],
 [6,1,5,3,3,5,6,9,6,9],
 [7,1,7,9,7,9,9,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 475,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,8],
 [0,3,0,3,6,6,6,6,0,3],
 [0,4,0,6,0,0,0,8,0,6],
 [0,5,0,6,0,8,0,8,0,6],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,8,6,8,8,0,2,0,4],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,6,6,6,4,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,4,7,2,9],
 [3,1,3,3,3,3,3,9,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,4,3,4,5,6,7,6,9],
 [7,1,7,9,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 476,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,8,0,8],
 [0,3,0,3,6,6,6,6,0,3],
 [0,4,0,6,0,0,0,8,0,6],
 [0,5,0,6,0,8,0,8,0,6],
 [0,6,0,6,0,0,0,0,0,6],
 [0,7,8,6,8,8,0,8,0,6],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,8,3,6,6,6,6,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,4,7,2,9],
 [3,1,3,3,3,3,3,9,3,9],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,4,3,4,5,6,7,6,9],
 [7,1,7,9,7,7,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 477,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,4,0,4],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,3,0,3,4,3,4,3],
 [0,6,0,0,0,4,0,0,0,0],
 [0,7,4,3,0,3,0,3,4,3],
 [0,8,0,0,0,4,0,4,0,0],
 [0,9,4,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,8,9],
 [7,1,7,7,7,5,7,7,7,7],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 478,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,4,0,4],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,3,0,3,4,3,4,3],
 [0,6,0,0,0,4,0,0,0,4],
 [0,7,4,3,0,3,0,3,4,3],
 [0,8,0,0,0,4,0,4,0,0],
 [0,9,4,3,0,3,4,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,2,9],
 [7,1,7,7,7,5,7,7,7,5],
 [8,1,2,3,8,5,2,7,8,9],
 [9,1,9,9,9,5,9,5,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 479,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,8,0,6],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,4,3,0,3,8,3,0,7],
 [0,6,0,0,0,8,0,0,0,4],
 [0,7,8,3,0,3,0,3,0,3],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,6,3,8,7,4,3,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,2,3,6,5,6,7,6,9],
 [7,1,7,7,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 480,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,8,0,6],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,8],
 [0,5,4,3,0,3,8,3,0,7],
 [0,6,0,0,0,8,0,0,0,8],
 [0,7,8,3,0,3,0,3,0,3],
 [0,8,0,0,0,0,0,0,0,0],
 [0,9,6,3,8,7,8,3,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,4,9],
 [5,1,5,5,5,5,5,5,5,9],
 [6,1,2,3,6,5,6,7,6,9],
 [7,1,7,7,7,5,7,7,7,9],
 [8,1,2,3,4,5,6,7,8,9],
 [9,1,9,9,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 481,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,4,0,4],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,0,0,0],
 [0,5,4,3,0,3,4,3,4,3],
 [0,6,0,0,0,4,0,4,0,0],
 [0,7,4,3,0,3,0,3,4,3],
 [0,8,0,0,0,4,0,0,0,4],
 [0,9,4,3,0,3,4,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,6,7,8,9],
 [5,1,5,5,5,5,5,5,5,5],
 [6,1,2,3,6,5,6,7,2,9],
 [7,1,7,7,7,5,7,7,7,5],
 [8,1,2,3,8,5,2,7,8,9],
 [9,1,9,9,9,5,9,5,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 482,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,4,0,4,6,0],
 [0,3,0,3,0,3,0,3,3,0],
 [0,4,0,0,0,0,0,6,0,0],
 [0,5,6,3,0,3,0,8,3,6],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,9,3,6,3,0,8,3,6],
 [0,8,6,3,0,3,0,3,3,0],
 [0,9,0,0,0,6,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,2],
 [3,1,3,3,3,5,3,7,8,3],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,8,8,8,5,8,7,8,8],
 [9,1,2,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 483,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,6,0,8,0,6],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,6,0,0],
 [0,5,4,3,0,3,0,3,6,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,4,3,6,9,0,9,6,3],
 [0,8,0,0,0,6,0,6,0,0],
 [0,9,6,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 484,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,6,0,4,0,6],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,6,0,0],
 [0,5,6,3,0,3,0,3,6,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,4,3,6,3,0,5,4,3],
 [0,8,0,0,0,6,0,4,0,0],
 [0,9,6,3,0,3,0,3,0,3]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,8,5,8,7,8,9],
 [9,1,9,9,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 485,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,6,0,4,0,4],
 [0,3,0,3,0,3,0,3,0,3],
 [0,4,0,0,0,0,0,6,0,6],
 [0,5,6,3,0,3,0,3,0,3],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,4,3,6,3,0,5,6,5],
 [0,8,0,0,0,0,0,6,0,0],
 [0,9,4,3,6,3,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,2,9],
 [3,1,3,3,3,5,3,7,3,9],
 [4,1,2,3,4,5,4,7,4,9],
 [5,1,5,5,5,5,5,7,5,9],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,2,3,4,5,8,7,8,9],
 [9,1,9,9,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 486,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,6,0,4,6,0],
 [0,3,0,3,0,3,0,3,3,0],
 [0,4,0,0,0,0,0,6,0,0],
 [0,5,6,3,0,3,0,3,3,6],
 [0,6,0,0,0,0,0,0,0,0],
 [0,7,4,3,6,3,0,8,3,6],
 [0,8,6,3,0,3,0,3,3,0],
 [0,9,0,0,0,6,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,2,5,2,7,8,2],
 [3,1,3,3,3,5,3,7,8,3],
 [4,1,2,3,4,5,4,7,8,9],
 [5,1,5,5,5,5,5,7,5,5],
 [6,1,2,3,4,5,6,7,8,9],
 [7,1,7,7,7,7,7,7,7,7],
 [8,1,8,8,8,5,8,7,8,8],
 [9,1,2,3,9,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 487,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,2,4],
 [0,4,0,5,2,0,0,5,0,5],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,5,2,0,4,0,4],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,5,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 488,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,2,4],
 [0,4,0,5,2,0,0,5,0,5],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,5,2,0,4,2,4],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,5,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,5,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 489,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,5,5],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,5,2,0,4,5,5],
 [0,8,0,5,2,0,0,5,0,0],
 [0,9,0,5,2,0,0,5,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,9],
 [9,1,9,3,4,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 490,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,5,5],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,5,2,0,4,5,5],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,5,2,0,0,5,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 491,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,5,5],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,5,2,0,8,5,6],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,5,2,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,8],
 [9,1,9,3,4,9,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 492,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,5,5],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,5,2,0,8,5,6],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,5,2,0,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 493,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,5,5],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,5,2,0,8,6,6],
 [0,8,0,5,2,0,0,6,0,0],
 [0,9,0,5,2,0,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,9],
 [9,1,9,3,4,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 494,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,5,6],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,5,2,0,8,5,6],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,5,2,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,8],
 [9,1,9,3,4,9,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 495,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,5,6],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,5,2,0,8,5,6],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,5,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 496,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,8,5,5],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,5,2,0,8,5,2],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,6,2,0,0,6,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,8],
 [9,1,9,3,4,9,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 497,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,8,5,5],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,5,2,0,8,5,2],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,6,2,0,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 498,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,8,5,6],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,5,2,0,8,5,2],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,6,2,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,8],
 [9,1,9,3,4,9,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 499,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,8,5,6],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,5,2,0,8,5,2],
 [0,8,0,5,2,0,0,5,2,0],
 [0,9,0,6,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 500,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,8,5,6],
 [0,4,0,5,2,0,0,5,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,5,2,0,9,6,2],
 [0,8,0,5,2,0,0,6,2,0],
 [0,9,0,6,2,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,8],
 [9,1,9,3,4,9,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 501,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,8,6,6],
 [0,4,0,5,2,0,0,6,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,6,2,0,5,2,2],
 [0,8,0,6,2,0,0,2,0,0],
 [0,9,0,6,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,9],
 [9,1,9,3,4,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 502,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,8,6,5],
 [0,4,0,5,2,0,0,6,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,9,6,2,0,5,6,2],
 [0,8,0,5,2,0,0,2,2,0],
 [0,9,0,6,2,0,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 503,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,0,0,0,2],
 [0,7,0,5,2,0,0,2,0,2],
 [0,8,0,5,2,0,0,0,0,0],
 [0,9,0,5,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,7,6,9],
 [7,1,7,3,4,7,7,7,7,9],
 [8,1,8,3,4,8,6,7,8,9],
 [9,1,9,3,4,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 504,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,0,0,0,2],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,0,2,2,0],
 [0,9,0,5,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,7,7,9],
 [7,1,7,3,4,7,7,7,7,4],
 [8,1,8,3,4,8,7,7,8,4],
 [9,1,9,3,4,9,9,4,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 505,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,0,0,0,0],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,0,2,2,0],
 [0,9,0,5,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,7,8,9],
 [7,1,7,3,4,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,7],
 [9,1,9,3,4,9,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 506,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,0,0,2,2],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,2,2,0,0],
 [0,9,0,5,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,7,4,4],
 [7,1,7,3,4,7,7,7,4,4],
 [8,1,8,3,4,8,4,4,8,9],
 [9,1,9,3,4,9,4,4,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 507,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,0,0,2,2],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,2,2,2,0],
 [0,9,0,5,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,7,4,4],
 [7,1,7,3,4,7,7,7,4,4],
 [8,1,8,3,4,8,4,4,8,4],
 [9,1,9,3,4,9,4,4,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 508,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,2,0,0,2],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,0,2,2,0],
 [0,9,0,5,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,4,4,9],
 [7,1,7,3,4,7,4,7,7,4],
 [8,1,8,3,4,8,4,7,8,4],
 [9,1,9,3,4,9,9,4,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 509,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,2,0,2,2],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,2,2,2,0],
 [0,9,0,5,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,4,4,4],
 [7,1,7,3,4,7,4,7,4,4],
 [8,1,8,3,4,8,4,4,8,4],
 [9,1,9,3,4,9,4,4,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 510,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,2,4,2,4],
 [0,4,0,5,2,0,0,5,0,5],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,2,0,0],
 [0,7,0,4,5,2,0,4,2,4],
 [0,8,0,2,0,0,0,0,0,2],
 [0,9,0,4,5,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,5,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 511,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,5,2,5,5,5,5],
 [0,4,0,5,2,0,2,2,2,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,5,2,0,2,2,2,0],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,2,0,2,2],
 [0,9,0,5,2,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,4,4,4],
 [7,1,7,3,4,7,4,7,4,4],
 [8,1,8,3,4,8,4,4,8,4],
 [9,1,9,3,4,9,4,4,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 512,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,7,5,2,4],
 [0,4,0,6,7,0,5,2,0,6],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,7,5,0,2,0,0,7],
 [0,7,0,5,2,0,0,0,0,5],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,7,5,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,6,6,9],
 [7,1,7,3,4,7,6,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 513,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,7,5,5,6],
 [0,4,0,6,7,0,5,2,2,7],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,7,5,0,2,0,0,5],
 [0,7,0,5,2,0,0,0,0,2],
 [0,8,0,5,2,0,0,0,0,0],
 [0,9,0,6,7,0,5,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,9],
 [7,1,7,3,4,7,6,7,7,9],
 [8,1,8,3,4,8,6,7,8,9],
 [9,1,9,3,4,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 514,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,7,5,7,7],
 [0,4,0,6,7,0,5,2,5,5],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,7,5,0,2,0,2,2],
 [0,7,0,5,2,0,0,0,0,0],
 [0,8,0,7,5,0,2,0,0,0],
 [0,9,0,7,5,0,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,6],
 [7,1,7,3,4,7,6,7,8,9],
 [8,1,8,3,4,8,6,8,8,9],
 [9,1,9,3,4,9,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 515,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,7,5,7,7],
 [0,4,0,6,7,0,5,2,5,5],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,7,5,0,2,0,2,2],
 [0,7,0,5,2,0,0,0,0,0],
 [0,8,0,7,5,0,2,0,2,0],
 [0,9,0,7,5,0,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,6],
 [7,1,7,3,4,7,6,7,8,9],
 [8,1,8,3,4,8,6,8,8,6],
 [9,1,9,3,4,9,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 516,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,8,7],
 [0,4,0,6,8,0,8,2,8,5],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,8,8,0,8,0,8,2],
 [0,7,0,5,2,0,0,0,0,0],
 [0,8,0,8,8,0,8,0,8,0],
 [0,9,0,7,5,0,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,6],
 [7,1,7,3,4,7,6,7,8,9],
 [8,1,8,3,4,8,6,8,8,6],
 [9,1,9,3,4,9,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 517,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,7,7],
 [0,4,0,6,8,0,7,2,5,5],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,8,7,0,5,0,2,2],
 [0,7,0,5,2,0,0,0,0,0],
 [0,8,0,7,5,0,2,0,0,0],
 [0,9,0,7,5,0,2,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,6],
 [7,1,7,3,4,7,6,7,8,9],
 [8,1,8,3,4,8,6,8,8,9],
 [9,1,9,3,4,9,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 518,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,8,7],
 [0,4,0,6,8,0,8,2,8,5],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,8,8,0,8,0,8,2],
 [0,7,0,5,2,0,0,0,0,2],
 [0,8,0,8,8,0,8,0,8,0],
 [0,9,0,7,5,0,2,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,4],
 [7,1,7,3,4,7,6,7,6,9],
 [8,1,8,3,4,8,6,6,8,4],
 [9,1,9,3,4,9,4,9,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 519,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,5,7],
 [0,4,0,6,8,0,5,2,2,5],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,8,5,0,2,0,0,2],
 [0,7,0,5,2,0,0,0,0,2],
 [0,8,0,5,2,0,0,0,0,0],
 [0,9,0,7,5,0,2,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,9],
 [7,1,7,3,4,7,6,7,7,9],
 [8,1,8,3,4,8,6,7,8,9],
 [9,1,9,3,4,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 520,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,5,8],
 [0,4,0,6,8,0,5,2,2,5],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,8,5,0,2,0,0,2],
 [0,7,0,5,2,0,0,0,0,2],
 [0,8,0,5,2,0,0,0,0,0],
 [0,9,0,8,5,0,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,6,6,9],
 [7,1,7,3,4,7,6,7,7,9],
 [8,1,8,3,4,8,6,7,8,9],
 [9,1,9,3,4,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 521,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,2,4],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,0,0,2,0,5],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,6,5,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,4,6,9],
 [7,1,7,3,4,7,4,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 522,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,2,4],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,0,0,2,0,8],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,6,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,4,6,9],
 [7,1,7,3,4,7,4,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 523,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,8,8],
 [0,4,0,6,6,0,6,2,8,8],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,6,6,0,6,0,8,8],
 [0,7,0,5,2,0,0,2,0,2],
 [0,8,0,8,8,0,8,0,0,0],
 [0,9,0,8,8,0,8,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,4,6,4],
 [7,1,7,3,4,7,4,7,9,9],
 [8,1,8,3,4,8,6,9,8,9],
 [9,1,9,3,4,9,4,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 524,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,5,6],
 [0,4,0,6,6,0,6,2,2,6],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,0,2,0,0],
 [0,9,0,6,6,0,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,4,9,9],
 [7,1,7,3,4,7,4,7,7,4],
 [8,1,8,3,4,8,9,7,8,9],
 [9,1,9,3,4,9,9,4,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 525,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,5,6],
 [0,4,0,6,6,0,6,2,2,6],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,0,0,2,2,2],
 [0,8,0,5,2,0,0,2,2,0],
 [0,9,0,6,6,0,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,4,4,9],
 [7,1,7,3,4,7,4,7,7,4],
 [8,1,8,3,4,8,4,7,8,4],
 [9,1,9,3,4,9,9,4,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 526,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,8,7],
 [0,4,0,6,8,0,8,2,8,5],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,8,8,0,8,0,8,2],
 [0,7,0,5,2,0,0,2,0,5],
 [0,8,0,8,8,0,8,0,8,0],
 [0,9,0,7,5,2,2,5,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,3],
 [5,1,5,3,4,5,6,7,6,9],
 [6,1,6,3,4,6,6,4,6,3],
 [7,1,7,3,4,7,4,7,4,9],
 [8,1,8,3,4,6,6,4,8,3],
 [9,1,9,3,3,9,3,9,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 527,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,2,7],
 [0,4,0,6,8,0,2,2,0,5],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,8,2,0,0,0,0,2],
 [0,7,0,5,2,0,0,2,0,5],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,7,5,2,2,5,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,7,6,9],
 [7,1,7,3,4,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 528,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,5,2,7],
 [0,4,0,6,8,0,2,2,0,5],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,8,2,0,0,0,0,2],
 [0,7,0,5,2,0,0,2,0,8],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,7,5,2,2,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,7,6,9],
 [7,1,7,3,4,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 529,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,6,5],
 [0,4,0,6,6,0,6,2,6,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,6,6,0,6,0,6,0],
 [0,7,0,5,2,0,0,2,2,0],
 [0,8,0,6,6,0,6,2,6,0],
 [0,9,0,5,2,0,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,8,8,6],
 [7,1,7,3,4,7,8,7,8,7],
 [8,1,8,3,4,8,8,8,8,8],
 [9,1,9,3,4,9,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 530,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,9,5,9,5],
 [0,4,0,6,9,0,5,2,5,2],
 [0,5,0,2,0,0,0,0,0,0],
 [0,6,0,9,5,0,2,0,2,0],
 [0,7,0,5,2,0,0,2,2,0],
 [0,8,0,9,5,0,2,2,2,0],
 [0,9,0,5,2,0,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,4],
 [5,1,5,3,4,5,6,7,8,9],
 [6,1,6,3,4,6,6,8,8,6],
 [7,1,7,3,4,7,8,7,8,7],
 [8,1,8,3,4,8,8,8,8,8],
 [9,1,9,3,4,9,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 531,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,5,2,2,0,5,0,5],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,2,5,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 532,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,5,2,2,0,5,2,5],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,6,2,2,5,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,5,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 533,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,5],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,5,2,5],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,5,2,2,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 534,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,5],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,5,2,8],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,5,2,2,0,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 535,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,8],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,5,2,8],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,8,2,2,0,8,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 536,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,5,2,2],
 [0,8,0,6,2,0,0,2,0,0],
 [0,9,0,6,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,9],
 [9,1,9,3,4,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 537,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,6,5],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,5,2,5],
 [0,8,0,6,2,0,0,2,2,0],
 [0,9,0,5,2,2,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,7],
 [5,1,5,3,4,5,5,7,4,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,4,8,7,8,7],
 [9,1,9,3,7,9,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 538,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,5,2,2],
 [0,8,0,6,2,0,0,2,2,0],
 [0,9,0,6,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 539,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,5,2,2,0,8,0,6],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 540,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,5,2,2,0,8,2,6],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,6,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,5,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 541,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,5],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,8,2,6],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,5,2,2,0,6,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 542,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,8],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,8,2,6],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,8,2,2,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 543,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,2,4],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,2,0,5,2,5],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,6,2,6,5,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,3,4,9],
 [5,1,5,3,4,5,4,7,5,9],
 [6,1,6,3,4,4,6,3,4,9],
 [7,1,7,3,3,7,3,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 544,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,2,4],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,2,0,5,2,8],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,6,2,6,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,3,4,9],
 [5,1,5,3,4,5,4,7,5,9],
 [6,1,6,3,4,4,6,3,4,9],
 [7,1,7,3,3,7,3,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 545,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,6,5],
 [0,4,0,6,6,0,6,2,6,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,6,6,0,6,0,6,0],
 [0,7,0,5,2,2,0,5,2,5],
 [0,8,0,6,6,0,6,2,6,0],
 [0,9,0,5,2,2,0,5,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,3,4,3],
 [5,1,5,3,4,5,4,7,4,9],
 [6,1,6,3,4,4,6,3,8,3],
 [7,1,7,3,3,7,3,7,3,7],
 [8,1,8,3,4,4,8,3,8,3],
 [9,1,9,3,3,9,3,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 546,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,4,2],
 [0,4,0,6,6,0,6,2,6,0],
 [0,5,0,2,0,0,0,2,2,0],
 [0,6,0,6,6,0,6,0,6,0],
 [0,7,0,5,2,2,0,5,5,0],
 [0,8,0,4,6,2,6,5,4,0],
 [0,9,0,2,0,0,0,0,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,8,8,4],
 [5,1,5,3,4,5,4,7,8,5],
 [6,1,6,3,4,4,6,8,8,6],
 [7,1,7,3,8,7,8,7,8,7],
 [8,1,8,3,8,8,8,8,8,8],
 [9,1,9,3,4,5,6,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 547,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,2,4],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,2,0,8,0,8],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,6,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,9,4,9],
 [5,1,5,3,4,5,4,7,5,9],
 [6,1,6,3,4,4,6,9,6,9],
 [7,1,7,3,9,7,9,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 548,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,5,2,6],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,8,2,0,0,2,0,8],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,4,6,9],
 [7,1,7,3,4,7,4,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 549,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,5,2,6],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,2,2,0,8,2,6],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,8,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 550,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,6,2,2,0,2,0,6],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 551,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,6,2,2,0,2,2,6],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,6,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,5,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 552,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,2,6],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 553,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,0,0,2,0,0],
 [0,9,0,6,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,9],
 [9,1,9,3,4,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 554,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,0,0,2,2,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,7],
 [5,1,5,3,4,5,5,7,4,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,4,8,7,8,7],
 [9,1,9,3,7,9,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 555,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,0,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,0,0,2,2,0],
 [0,9,0,6,2,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,4],
 [5,1,5,3,4,5,5,7,8,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,8,8,7,8,4],
 [9,1,9,3,4,9,9,7,4,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 556,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,2,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,7,7],
 [5,1,5,3,4,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,9],
 [9,1,9,3,7,7,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 557,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,0,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,2,0,2,2,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,7,7],
 [5,1,5,3,4,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,7],
 [9,1,9,3,7,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 558,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,8,2,4],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,5,2,0,0,2,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,6,6,2,6,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,4,6,9],
 [7,1,7,3,4,7,4,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 559,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,7,8,2,6],
 [0,4,0,6,7,0,8,2,0,7],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,7,8,0,2,0,0,8],
 [0,7,0,8,2,0,0,0,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,6,7,2,8,2,0,7]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,6,6,9],
 [7,1,7,3,4,7,6,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 560,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,8,2,6],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,8,2,0,0,2,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,6,6,2,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,4,6,9],
 [7,1,7,3,4,7,4,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 561,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,8,8,2,6],
 [0,4,0,6,8,0,2,2,0,8],
 [0,5,0,2,0,0,0,0,0,2],
 [0,6,0,8,2,0,0,0,0,2],
 [0,7,0,8,2,0,0,2,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,6,8,2,2,2,0,5]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,4,4,9],
 [5,1,5,3,4,5,6,7,5,9],
 [6,1,6,3,4,6,6,7,6,9],
 [7,1,7,3,4,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 562,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,8,2,6],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,8,2,2,0,2,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,6,6,2,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,9,4,9],
 [5,1,5,3,4,5,4,7,5,9],
 [6,1,6,3,4,4,6,9,6,9],
 [7,1,7,3,9,7,9,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 563,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,8,2,8],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,5,2,2,0,8,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,2,2,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 564,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,8,2,6],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,2,2,0,8,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,7,4,9],
 [5,1,5,3,4,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 565,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,8,2,6],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,0,0,2,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,8,2,2,0,8,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,6,2,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,4,4,3,4,9],
 [5,1,5,3,4,5,4,7,5,9],
 [6,1,6,3,4,4,6,3,4,9],
 [7,1,7,3,3,7,3,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 566,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,2,2,0,4,0,4],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,2,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 567,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,2,2,0,4,2,4],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,2,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 568,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,2,2,0,4,2,8],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,2,2,2,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 569,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,8],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,2,2,0,4,2,8],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,8,2,2,2,8,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 570,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,2,2,0,4,2,8],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,4,2,2,0,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 571,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,8],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,2,2,0,4,2,8],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,8,2,2,0,8,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 572,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,2],
 [0,4,0,2,0,0,0,2,0,0],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,2,2,0,4,2,2],
 [0,8,0,2,0,2,0,2,0,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,9],
 [5,1,5,3,5,5,5,7,5,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 573,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,2,2,0,4,2,4],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,4,2,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,5,9],
 [5,1,5,3,5,5,5,7,5,3],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,5,5,5,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 574,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,2,2,0,4,2,4],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,4,2,2,0,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,5,9],
 [5,1,5,3,5,5,5,7,5,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,5,5,8,7,8,7],
 [9,1,9,3,9,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 575,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,2],
 [0,4,0,2,0,0,0,2,0,0],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,2,2,0,4,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,9],
 [5,1,5,3,5,5,5,7,5,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,5],
 [9,1,9,3,9,5,9,7,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 576,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,4,2,2,0,8,0,8],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,2,2,2,8,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 577,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,8],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,4,2,2,0,8,2,6],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,8,2,2,0,6,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 578,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,6],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,2,2,0,8,2,6],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,8,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 579,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,2,6],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 580,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,2,2],
 [0,4,0,2,0,0,0,2,0,0],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,0,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,9],
 [5,1,5,3,5,5,5,7,5,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,9],
 [9,1,9,3,9,5,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 581,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,6,2,2,0,2,2,6],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,4,2,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,5,9],
 [5,1,5,3,5,5,5,7,5,3],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,5,5,5,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 582,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,2,6],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,5,9],
 [5,1,5,3,5,5,5,7,5,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,5,5,8,7,8,7],
 [9,1,9,3,9,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 583,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,2,2],
 [0,4,0,2,0,0,0,2,0,0],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,8,9],
 [5,1,5,3,5,5,5,7,5,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,5],
 [9,1,9,3,9,5,9,7,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 584,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,6,6],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,2,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,7,7],
 [5,1,5,3,5,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,9],
 [9,1,9,3,7,7,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 585,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,6,6],
 [0,4,0,2,0,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,2,0,2,2,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,7,7],
 [5,1,5,3,5,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,7],
 [9,1,9,3,7,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 586,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,6,2,6],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,8,2,2,0,2,0,8],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,2,2,2,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 587,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,8,2,6],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,8,2,2,0,2,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,6,2,2,2,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 588,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,8,2,6],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,8,2,2,0,8,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,2,2,2,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 589,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,4],
 [0,4,0,2,0,0,0,0,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,2],
 [0,7,0,2,0,2,0,2,0,2],
 [0,8,0,2,0,2,0,0,0,0],
 [0,9,0,4,2,2,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,6,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,6,5,6,7,8,9],
 [9,1,9,3,9,3,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 590,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,2],
 [0,7,0,2,0,2,0,2,0,2],
 [0,8,0,2,0,2,0,0,0,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,6,9],
 [7,1,7,3,7,5,7,7,7,9],
 [8,1,8,3,8,5,6,7,8,9],
 [9,1,9,3,9,5,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 591,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,4],
 [0,4,0,2,0,0,0,0,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,4,2,2,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,7,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,3],
 [8,1,8,3,7,5,7,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 592,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,7,9],
 [7,1,7,3,7,5,7,7,7,5],
 [8,1,8,3,8,5,7,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 593,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,0],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,8,9],
 [7,1,7,3,7,5,7,7,7,7],
 [8,1,8,3,8,5,8,7,8,7],
 [9,1,9,3,9,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 594,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,2,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,0,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,5,5],
 [7,1,7,3,7,5,7,7,5,5],
 [8,1,8,3,8,5,5,5,8,9],
 [9,1,9,3,9,5,5,5,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 595,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,4],
 [0,4,0,2,0,0,0,0,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,2,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,4,2,2,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,5,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,7,5,3],
 [7,1,7,3,7,5,7,7,5,3],
 [8,1,8,3,5,5,5,5,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 596,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,2,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,7,5,5],
 [7,1,7,3,7,5,7,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 597,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,4,2,2,0,4,0,4],
 [0,8,0,2,0,2,2,0,2,0],
 [0,9,0,4,2,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,5,9],
 [5,1,5,3,5,5,5,3,5,3],
 [6,1,6,3,5,5,6,3,6,3],
 [7,1,7,3,7,3,3,7,3,9],
 [8,1,8,3,5,5,6,3,8,3],
 [9,1,9,3,9,3,3,9,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 598,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,4,2,2,0,4,2,4],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,4,2,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,5,9],
 [5,1,5,3,5,5,5,3,5,3],
 [6,1,6,3,5,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,5,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 599,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,2],
 [0,4,0,2,0,0,0,2,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,4,2,2,0,4,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,8,9],
 [5,1,5,3,5,5,5,3,5,5],
 [6,1,6,3,5,5,6,3,5,5],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,8,5,5,3,8,5],
 [9,1,9,3,9,5,5,3,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 600,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,4],
 [0,4,0,2,0,0,0,0,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,0,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,4,2,2,2,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,7,9],
 [5,1,5,3,5,5,5,5,5,3],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,3],
 [8,1,8,3,7,5,5,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 601,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,0,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,9],
 [7,1,7,3,7,5,5,7,7,5],
 [8,1,8,3,8,5,5,7,8,5],
 [9,1,9,3,9,5,9,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 602,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,5],
 [7,1,7,3,7,5,5,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 603,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,2,0,0],
 [0,7,0,4,2,2,0,4,2,4],
 [0,8,0,2,0,0,0,0,0,2],
 [0,9,0,4,2,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 604,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,2,0,0],
 [0,7,0,4,2,2,0,4,2,8],
 [0,8,0,2,0,0,0,0,0,2],
 [0,9,0,4,2,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 605,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,8,2,6],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,2,0,0],
 [0,7,0,6,2,2,0,2,2,6],
 [0,8,0,2,0,0,0,0,0,2],
 [0,9,0,8,2,2,2,8,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,4,7,4,9],
 [5,1,5,3,5,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,4,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 606,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,2,2,2],
 [0,4,0,2,0,0,0,0,0,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,2,2,0],
 [0,7,0,2,0,2,0,2,2,2],
 [0,8,0,2,0,2,2,0,2,2],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,6,7,8,9],
 [5,1,5,3,5,5,5,5,5,5],
 [6,1,6,3,6,5,6,5,5,5],
 [7,1,7,3,7,5,5,7,5,5],
 [8,1,8,3,8,5,5,5,8,5],
 [9,1,9,3,9,5,5,5,5,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 607,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,2,2,2,4,2,4],
 [0,4,0,2,0,0,0,2,0,2],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,2,2,0],
 [0,7,0,4,2,2,0,4,2,4],
 [0,8,0,2,0,2,2,0,2,2],
 [0,9,0,4,2,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,5,5,7,5,9],
 [5,1,5,3,5,5,5,3,5,3],
 [6,1,6,3,5,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,5,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 608,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,6,6,2,4],
 [0,4,0,4,4,0,6,6,0,4],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,6,6,0,0,0,0,6],
 [0,7,0,6,6,2,0,2,2,6],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,4,4,2,6,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3,3,9],
 [5,1,5,3,3,5,7,7,5,3],
 [6,1,6,3,4,7,6,7,7,9],
 [7,1,7,3,3,7,7,7,7,3],
 [8,1,8,3,3,5,7,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 609,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,6,6,6,6],
 [0,4,0,4,4,0,6,6,6,6],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,6,6,0,0,0,0,0],
 [0,7,0,6,6,2,0,2,2,2],
 [0,8,0,6,6,2,0,2,0,0],
 [0,9,0,6,6,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3,3,3],
 [5,1,5,3,3,5,7,7,7,7],
 [6,1,6,3,4,7,6,7,8,9],
 [7,1,7,3,3,7,7,7,7,7],
 [8,1,8,3,3,7,8,7,8,9],
 [9,1,9,3,3,7,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 610,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,6,6,6,6],
 [0,4,0,4,4,0,6,6,6,6],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,6,6,0,0,0,0,0],
 [0,7,0,6,6,2,0,2,2,2],
 [0,8,0,6,6,2,0,2,2,0],
 [0,9,0,6,6,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3,3,3],
 [5,1,5,3,3,5,7,7,7,7],
 [6,1,6,3,4,7,6,7,8,9],
 [7,1,7,3,3,7,7,7,7,7],
 [8,1,8,3,3,7,8,7,8,7],
 [9,1,9,3,3,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 611,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,8,8,8,8],
 [0,4,0,4,4,0,8,8,8,8],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,8,8,0,0,0,0,2],
 [0,7,0,8,8,2,0,2,0,2],
 [0,8,0,8,8,0,0,0,0,0],
 [0,9,0,8,8,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3,4,3],
 [5,1,5,3,3,5,7,7,7,9],
 [6,1,6,3,4,7,6,7,6,9],
 [7,1,7,3,3,7,7,7,7,9],
 [8,1,8,3,4,7,6,7,8,9],
 [9,1,9,3,3,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 612,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,6,6,6,6],
 [0,4,0,4,4,0,6,6,6,6],
 [0,5,0,2,0,2,0,2,2,0],
 [0,6,0,6,6,0,0,0,0,0],
 [0,7,0,6,6,2,0,2,2,2],
 [0,8,0,6,6,2,0,2,2,0],
 [0,9,0,6,6,0,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3,3,4],
 [5,1,5,3,3,5,8,7,8,7],
 [6,1,6,3,4,8,6,7,8,9],
 [7,1,7,3,3,7,7,7,7,7],
 [8,1,8,3,3,8,8,7,8,7],
 [9,1,9,3,4,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 613,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,6,9,6,9],
 [0,4,0,4,4,0,6,9,6,9],
 [0,5,0,2,0,2,0,2,2,0],
 [0,6,0,6,6,0,0,0,0,0],
 [0,7,0,9,9,2,0,9,2,9],
 [0,8,0,6,6,2,0,2,2,0],
 [0,9,0,9,9,0,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3,3,4],
 [5,1,5,3,3,5,8,7,8,7],
 [6,1,6,3,4,8,6,7,8,9],
 [7,1,7,3,3,7,7,7,7,7],
 [8,1,8,3,3,8,8,7,8,7],
 [9,1,9,3,4,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 614,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,6,9,6,9],
 [0,4,0,4,4,0,6,9,6,9],
 [0,5,0,2,0,2,0,2,2,0],
 [0,6,0,6,6,0,6,0,6,0],
 [0,7,0,9,9,2,0,9,2,9],
 [0,8,0,6,6,2,6,2,6,0],
 [0,9,0,9,9,0,0,9,0,9]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,4,3,3,4],
 [5,1,5,3,3,5,8,7,8,7],
 [6,1,6,3,4,8,6,3,8,4],
 [7,1,7,3,3,7,3,7,3,7],
 [8,1,8,3,3,8,8,3,8,3],
 [9,1,9,3,4,7,4,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 615,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,2,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,2],
 [0,7,0,4,4,2,0,4,0,4],
 [0,8,0,2,0,2,0,0,0,0],
 [0,9,0,4,4,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,7,7,7,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,7,5,6,7,6,9],
 [7,1,7,3,7,3,7,7,7,9],
 [8,1,8,3,7,5,6,7,8,9],
 [9,1,9,3,9,3,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 616,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,4,2],
 [0,4,0,4,4,0,0,4,4,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,2],
 [0,7,0,4,4,2,0,4,4,2],
 [0,8,0,4,4,2,0,4,4,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,7,7,8,3],
 [5,1,5,3,3,5,5,3,3,5],
 [6,1,6,3,7,5,6,7,7,9],
 [7,1,7,3,7,3,7,7,7,3],
 [8,1,8,3,8,3,7,7,8,3],
 [9,1,9,3,3,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 617,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,2,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,2,2],
 [0,7,0,4,4,2,0,4,2,4],
 [0,8,0,2,0,2,2,2,0,0],
 [0,9,0,4,4,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,7,7,9,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,7,5,6,7,5,3],
 [7,1,7,3,7,3,7,7,3,3],
 [8,1,8,3,9,5,5,3,8,9],
 [9,1,9,3,9,3,3,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 618,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,2,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,2,2],
 [0,7,0,4,4,2,0,4,2,4],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,4,4,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,7,7,3,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,7,5,6,7,5,3],
 [7,1,7,3,7,3,7,7,3,3],
 [8,1,8,3,3,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 619,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,4,2],
 [0,4,0,4,4,0,0,4,4,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,0,0,0,0],
 [0,7,0,4,4,2,0,4,4,2],
 [0,8,0,4,4,2,0,4,4,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,8,7,8,7],
 [5,1,5,3,3,5,5,3,3,5],
 [6,1,6,3,8,5,6,7,8,9],
 [7,1,7,3,7,3,7,7,7,7],
 [8,1,8,3,8,3,8,7,8,7],
 [9,1,9,3,7,5,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 620,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,4,2],
 [0,4,0,4,4,0,0,4,4,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,0,2],
 [0,7,0,4,4,2,0,4,4,2],
 [0,8,0,4,4,2,0,4,4,0],
 [0,9,0,2,0,2,2,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,8,3],
 [5,1,5,3,3,5,5,3,3,5],
 [6,1,6,3,3,5,6,3,3,9],
 [7,1,7,3,7,3,3,7,7,3],
 [8,1,8,3,8,3,3,7,8,3],
 [9,1,9,3,3,5,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 621,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,2,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,2],
 [0,7,0,4,4,2,0,4,2,4],
 [0,8,0,2,0,2,2,2,2,0],
 [0,9,0,4,4,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,3,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 622,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,4,2],
 [0,4,0,4,4,0,0,4,4,0],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,0,2,0],
 [0,7,0,4,4,2,0,4,4,2],
 [0,8,0,4,4,2,2,4,4,0],
 [0,9,0,2,0,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,8,7,8,7],
 [5,1,5,3,3,5,5,3,3,5],
 [6,1,6,3,8,5,6,3,8,5],
 [7,1,7,3,7,3,3,7,3,7],
 [8,1,8,3,8,3,8,3,8,3],
 [9,1,9,3,7,5,5,7,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 623,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,2,4,2,4],
 [0,4,0,4,4,0,0,4,0,4],
 [0,5,0,2,0,2,2,2,2,2],
 [0,6,0,2,0,2,2,2,2,0],
 [0,7,0,4,4,2,0,4,2,4],
 [0,8,0,2,0,2,2,0,2,2],
 [0,9,0,4,4,2,2,4,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,3,3,7,3,9],
 [5,1,5,3,3,5,5,3,5,3],
 [6,1,6,3,3,5,6,3,5,3],
 [7,1,7,3,7,3,3,7,3,3],
 [8,1,8,3,3,5,5,3,8,3],
 [9,1,9,3,9,3,3,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 8, 9, 6], "~":[1, 0, 3, 2, 5, 4, 9, 6, 7, 8]}),
 
 Model(cardinality = 10, index = 624,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,4,2,2,4],
 [0,4,0,4,4,0,4,0,0,4],
 [0,5,0,2,0,2,2,0,0,2],
 [0,6,0,4,4,2,4,0,0,4],
 [0,7,0,2,0,0,0,0,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,4,2,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,4,9],
 [5,1,5,3,6,5,6,5,5,9],
 [6,1,6,3,6,6,6,6,6,9],
 [7,1,7,3,4,5,6,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 625,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,4,2,8,8],
 [0,4,0,4,4,0,4,0,8,8],
 [0,5,0,2,0,2,2,0,0,2],
 [0,6,0,4,4,2,4,0,8,8],
 [0,7,0,2,0,0,0,0,0,0],
 [0,8,0,8,8,0,8,0,0,0],
 [0,9,0,8,8,2,8,0,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,4,6],
 [5,1,5,3,6,5,6,5,9,9],
 [6,1,6,3,6,6,6,6,6,6],
 [7,1,7,3,4,5,6,7,8,9],
 [8,1,8,3,4,9,6,8,8,9],
 [9,1,9,3,6,9,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 626,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,4,2,2,4],
 [0,4,0,4,4,0,4,0,0,4],
 [0,5,0,2,0,2,2,0,2,2],
 [0,6,0,4,4,2,4,0,2,4],
 [0,7,0,2,0,0,0,0,0,0],
 [0,8,0,2,0,2,2,0,0,0],
 [0,9,0,4,4,2,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,9,9],
 [5,1,5,3,6,5,6,5,5,6],
 [6,1,6,3,6,6,6,6,6,6],
 [7,1,7,3,4,5,6,7,8,9],
 [8,1,8,3,9,5,6,8,8,9],
 [9,1,9,3,9,6,6,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 627,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,4,2,2,4],
 [0,4,0,4,4,0,4,0,0,4],
 [0,5,0,2,0,2,2,0,2,2],
 [0,6,0,4,4,2,4,0,2,4],
 [0,7,0,2,0,0,0,0,0,0],
 [0,8,0,2,0,2,2,0,2,0],
 [0,9,0,4,4,2,4,0,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,6,9],
 [5,1,5,3,6,5,6,5,5,6],
 [6,1,6,3,6,6,6,6,6,6],
 [7,1,7,3,4,5,6,7,8,9],
 [8,1,8,3,6,5,6,8,8,6],
 [9,1,9,3,9,6,6,9,6,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 628,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,4,2,4,2,2,4],
 [0,4,0,4,4,0,4,0,0,4],
 [0,5,0,2,0,2,2,0,2,2],
 [0,6,0,4,4,2,4,0,2,4],
 [0,7,0,2,0,0,0,0,0,2],
 [0,8,0,2,0,2,2,0,2,0],
 [0,9,0,4,4,2,4,2,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,6,6,4,6,9],
 [5,1,5,3,6,5,6,5,5,3],
 [6,1,6,3,6,6,6,6,6,3],
 [7,1,7,3,4,5,6,7,5,9],
 [8,1,8,3,6,5,6,5,8,3],
 [9,1,9,3,9,3,3,9,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 629,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,6,2,2,0,2,0,6],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,4,6,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,4,9],
 [5,1,5,3,7,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,6,9],
 [7,1,7,3,7,7,7,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 630,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,0,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,4,7],
 [5,1,5,3,7,5,5,7,9,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,9,8,7,8,9],
 [9,1,9,3,7,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 631,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,0,0,2,2,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,4,7],
 [5,1,5,3,7,5,5,7,7,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,7,8,7,8,7],
 [9,1,9,3,7,9,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 632,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,2,6],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,9,9],
 [5,1,5,3,7,5,5,7,5,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,9,5,8,7,8,9],
 [9,1,9,3,9,7,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 633,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,2,4],
 [0,4,0,6,2,0,0,2,0,6],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,2],
 [0,7,0,6,2,2,0,2,2,6],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,4,6,2,2,6,0,4]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,7,9],
 [5,1,5,3,7,5,5,7,5,3],
 [6,1,6,3,4,5,6,7,5,9],
 [7,1,7,3,7,7,7,7,7,3],
 [8,1,8,3,7,5,5,7,8,3],
 [9,1,9,3,9,3,9,3,3,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 634,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,2,6],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,2,0,2,0,2,2,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,7,9],
 [5,1,5,3,7,5,5,7,5,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,5,8,7,8,7],
 [9,1,9,3,9,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 635,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,2,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,7,7],
 [5,1,5,3,7,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,9],
 [9,1,9,3,7,7,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 636,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,6],
 [0,4,0,6,2,0,0,2,2,2],
 [0,5,0,2,0,2,0,2,2,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,2,0,2,2,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,7,4,7,7,7],
 [5,1,5,3,7,5,5,7,7,7],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,7,7,8,7,8,7],
 [9,1,9,3,7,7,9,7,7,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 637,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,6,6,2],
 [0,4,0,6,2,0,0,2,2,0],
 [0,5,0,2,0,2,0,2,2,0],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,6,2,2,0,2,2,2],
 [0,8,0,6,2,2,0,2,2,0],
 [0,9,0,2,0,0,0,2,0,0]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,8,4,7,8,4],
 [5,1,5,3,8,5,5,7,8,5],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,8,8,8,7,8,8],
 [9,1,9,3,4,5,9,7,8,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 638,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,8,2,6],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,8,2,2,0,2,0,2],
 [0,8,0,2,0,0,0,0,0,0],
 [0,9,0,6,6,2,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,9,4,9,4,9],
 [5,1,5,3,9,5,9,7,5,9],
 [6,1,6,3,4,9,6,9,6,9],
 [7,1,7,3,9,7,9,7,7,9],
 [8,1,8,3,4,5,6,7,8,9],
 [9,1,9,3,9,9,9,9,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 639,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,2,8,2,6],
 [0,4,0,6,2,0,0,2,0,2],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,2,0,0,0,0,0,0],
 [0,7,0,8,2,2,0,8,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,2,2,0,2,0,2]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,9,4,7,4,9],
 [5,1,5,3,9,5,5,7,5,9],
 [6,1,6,3,4,5,6,7,8,9],
 [7,1,7,3,7,7,7,7,7,7],
 [8,1,8,3,4,5,8,7,8,9],
 [9,1,9,3,9,9,9,7,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]}),
 
 Model(cardinality = 10, index = 640,
 operations = {
 "*":[
 [0,0,0,0,0,0,0,0,0,0],
 [0,1,2,3,4,5,6,7,8,9],
 [0,2,0,0,0,0,0,0,0,0],
 [0,3,0,4,6,2,6,8,2,6],
 [0,4,0,6,6,0,6,2,0,6],
 [0,5,0,2,0,2,0,2,0,2],
 [0,6,0,6,6,0,6,0,0,6],
 [0,7,0,8,2,2,0,8,2,2],
 [0,8,0,2,0,0,0,2,0,0],
 [0,9,0,6,6,2,6,2,0,6]], 
 "v":[
 [0,1,2,3,4,5,6,7,8,9],
 [1,1,1,1,1,1,1,1,1,1],
 [2,1,2,3,4,5,6,7,8,9],
 [3,1,3,3,3,3,3,3,3,3],
 [4,1,4,3,4,9,4,3,4,9],
 [5,1,5,3,9,5,9,7,5,9],
 [6,1,6,3,4,9,6,3,4,9],
 [7,1,7,3,3,7,3,7,7,3],
 [8,1,8,3,4,5,4,7,8,9],
 [9,1,9,3,9,9,9,3,9,9]], "-":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8], "~":[1, 0, 3, 2, 5, 4, 7, 6, 9, 8]})]