Skip to content

Instantly share code, notes, and snippets.

@benmoran

benmoran/PuLP Sudoku Secret

Created April 28, 2014 21:08
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save benmoran/8b55590a914fee308c2e to your computer and use it in GitHub Desktop.
Save benmoran/8b55590a914fee308c2e to your computer and use it in GitHub Desktop.
Download ZIP
PuLP Sudoku
Raw
PuLP Sudoku
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"\"\"\"\n",
"The Sudoku Problem Formulation for the PuLP Modeller\n",
"\n",
"Authors: Antony Phillips, Dr Stuart Mitchell\n",
"\"\"\"\n",
"\n",
"# Import PuLP modeler functions\n",
"from pulp import *\n",
"\n",
"# A list of strings from \"1\" to \"9\" is created\n",
"Sequence = [\"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\", \"8\", \"9\"]\n",
"\n",
"# The Vals, Rows and Cols sequences all follow this form\n",
"Vals = Sequence\n",
"Rows = Sequence\n",
"Cols = Sequence\n",
"\n",
"# The boxes list is created, with the row and column index of each square in each box\n",
"Boxes =[]\n",
"for i in range(3):\n",
" for j in range(3):\n",
" Boxes += [[(Rows[3*i+k],Cols[3*j+l]) for k in range(3) for l in range(3)]]\n",
"\n",
"# The prob variable is created to contain the problem data \n",
"prob = LpProblem(\"Sudoku Problem\",LpMinimize)\n",
"\n",
"# The problem variables are created\n",
"choices = LpVariable.dicts(\"Choice\",(Vals,Rows,Cols),0,1,LpInteger)\n",
"\n",
"# The arbitrary objective function is added\n",
"prob += 0, \"Arbitrary Objective Function\"\n",
"\n",
"# A constraint ensuring that only one value can be in each square is created\n",
"for r in Rows:\n",
" for c in Cols:\n",
" prob += lpSum([choices[v][r][c] for v in Vals]) == 1, \"\"\n",
"\n",
"# The row, column and box constraints are added for each value\n",
"for v in Vals:\n",
" for r in Rows:\n",
" prob += lpSum([choices[v][r][c] for c in Cols]) == 1,\"\"\n",
" \n",
" for c in Cols:\n",
" prob += lpSum([choices[v][r][c] for r in Rows]) == 1,\"\"\n",
"\n",
" for b in Boxes:\n",
" prob += lpSum([choices[v][r][c] for (r,c) in b]) == 1,\"\"\n",
" \n",
"# The starting numbers are entered as constraints \n",
"prob += choices[\"5\"][\"1\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"2\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"4\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"4\"][\"5\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"7\"][\"6\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"3\"][\"1\"][\"2\"] == 1,\"\"\n",
"prob += choices[\"9\"][\"3\"][\"2\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"7\"][\"2\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"3\"][\"3\"] == 1,\"\"\n",
"prob += choices[\"1\"][\"2\"][\"4\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"5\"][\"4\"] == 1,\"\"\n",
"prob += choices[\"4\"][\"8\"][\"4\"] == 1,\"\"\n",
"prob += choices[\"7\"][\"1\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"9\"][\"2\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"4\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"2\"][\"6\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"1\"][\"8\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"9\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"5\"][\"2\"][\"6\"] == 1,\"\"\n",
"prob += choices[\"3\"][\"5\"][\"6\"] == 1,\"\"\n",
"prob += choices[\"9\"][\"8\"][\"6\"] == 1,\"\"\n",
"prob += choices[\"2\"][\"7\"][\"7\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"3\"][\"8\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"7\"][\"8\"] == 1,\"\"\n",
"prob += choices[\"7\"][\"9\"][\"8\"] == 1,\"\"\n",
"prob += choices[\"3\"][\"4\"][\"9\"] == 1,\"\"\n",
"prob += choices[\"1\"][\"5\"][\"9\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"6\"][\"9\"] == 1,\"\"\n",
"prob += choices[\"5\"][\"8\"][\"9\"] == 1,\"\"\n",
"\n",
"# The problem data is written to an .lp file\n",
"prob.writeLP(\"Sudoku.lp\")\n",
"\n",
"# The problem is solved using PuLP's choice of Solver\n",
"prob.solve()\n",
"\n",
"# The status of the solution is printed to the screen\n",
"print \"Status:\", LpStatus[prob.status]\n",
"\n",
"# A file called sudokuout.txt is created/overwritten for writing to\n",
"sudokuout = open('sudokuout.txt','w')\n",
"\n",
"# The solution is written to the sudokuout.txt file \n",
"for r in Rows:\n",
" if r == \"1\" or r == \"4\" or r == \"7\":\n",
" sudokuout.write(\"+-------+-------+-------+\\n\")\n",
" for c in Cols:\n",
" for v in Vals:\n",
" if value(choices[v][r][c])==1:\n",
" \n",
" if c == \"1\" or c == \"4\" or c ==\"7\":\n",
" sudokuout.write(\"| \")\n",
" \n",
" sudokuout.write(v + \" \")\n",
" \n",
" if c == \"9\":\n",
" sudokuout.write(\"|\\n\")\n",
"sudokuout.write(\"+-------+-------+-------+\") \n",
"sudokuout.close()\n",
"\n",
"# The location of the solution is give to the user\n",
"print \"Solution Written to sudokuout.txt\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Status: Optimal\n",
"Solution Written to sudokuout.txt\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print open(\"sudokuout.txt\").read()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"+-------+-------+-------+\n",
"| 5 3 4 | 6 7 8 | 9 1 2 |\n",
"| 6 7 2 | 1 9 5 | 3 4 8 |\n",
"| 1 9 8 | 3 4 2 | 5 6 7 |\n",
"+-------+-------+-------+\n",
"| 8 5 9 | 7 6 1 | 4 2 3 |\n",
"| 4 2 6 | 8 5 3 | 7 9 1 |\n",
"| 7 1 3 | 9 2 4 | 8 5 6 |\n",
"+-------+-------+-------+\n",
"| 9 6 1 | 5 3 7 | 2 8 4 |\n",
"| 2 8 7 | 4 1 9 | 6 3 5 |\n",
"| 3 4 5 | 2 8 6 | 1 7 9 |\n",
"+-------+-------+-------+\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"prob"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"Sudoku Problem:\n",
"MINIMIZE\n",
"0*__dummy + 0\n",
"SUBJECT TO\n",
"_C1: Choice_1_1_1 + Choice_2_1_1 + Choice_3_1_1 + Choice_4_1_1 + Choice_5_1_1\n",
" + Choice_6_1_1 + Choice_7_1_1 + Choice_8_1_1 + Choice_9_1_1 = 1\n",
"\n",
"_C2: Choice_1_1_2 + Choice_2_1_2 + Choice_3_1_2 + Choice_4_1_2 + Choice_5_1_2\n",
" + Choice_6_1_2 + Choice_7_1_2 + Choice_8_1_2 + Choice_9_1_2 = 1\n",
"\n",
"_C3: Choice_1_1_3 + Choice_2_1_3 + Choice_3_1_3 + Choice_4_1_3 + Choice_5_1_3\n",
" + Choice_6_1_3 + Choice_7_1_3 + Choice_8_1_3 + Choice_9_1_3 = 1\n",
"\n",
"_C4: Choice_1_1_4 + Choice_2_1_4 + Choice_3_1_4 + Choice_4_1_4 + Choice_5_1_4\n",
" + Choice_6_1_4 + Choice_7_1_4 + Choice_8_1_4 + Choice_9_1_4 = 1\n",
"\n",
"_C5: Choice_1_1_5 + Choice_2_1_5 + Choice_3_1_5 + Choice_4_1_5 + Choice_5_1_5\n",
" + Choice_6_1_5 + Choice_7_1_5 + Choice_8_1_5 + Choice_9_1_5 = 1\n",
"\n",
"_C6: Choice_1_1_6 + Choice_2_1_6 + Choice_3_1_6 + Choice_4_1_6 + Choice_5_1_6\n",
" + Choice_6_1_6 + Choice_7_1_6 + Choice_8_1_6 + Choice_9_1_6 = 1\n",
"\n",
"_C7: Choice_1_1_7 + Choice_2_1_7 + Choice_3_1_7 + Choice_4_1_7 + Choice_5_1_7\n",
" + Choice_6_1_7 + Choice_7_1_7 + Choice_8_1_7 + Choice_9_1_7 = 1\n",
"\n",
"_C8: Choice_1_1_8 + Choice_2_1_8 + Choice_3_1_8 + Choice_4_1_8 + Choice_5_1_8\n",
" + Choice_6_1_8 + Choice_7_1_8 + Choice_8_1_8 + Choice_9_1_8 = 1\n",
"\n",
"_C9: Choice_1_1_9 + Choice_2_1_9 + Choice_3_1_9 + Choice_4_1_9 + Choice_5_1_9\n",
" + Choice_6_1_9 + Choice_7_1_9 + Choice_8_1_9 + Choice_9_1_9 = 1\n",
"\n",
"_C10: Choice_1_2_1 + Choice_2_2_1 + Choice_3_2_1 + Choice_4_2_1 + Choice_5_2_1\n",
" + Choice_6_2_1 + Choice_7_2_1 + Choice_8_2_1 + Choice_9_2_1 = 1\n",
"\n",
"_C11: Choice_1_2_2 + Choice_2_2_2 + Choice_3_2_2 + Choice_4_2_2 + Choice_5_2_2\n",
" + Choice_6_2_2 + Choice_7_2_2 + Choice_8_2_2 + Choice_9_2_2 = 1\n",
"\n",
"_C12: Choice_1_2_3 + Choice_2_2_3 + Choice_3_2_3 + Choice_4_2_3 + Choice_5_2_3\n",
" + Choice_6_2_3 + Choice_7_2_3 + Choice_8_2_3 + Choice_9_2_3 = 1\n",
"\n",
"_C13: Choice_1_2_4 + Choice_2_2_4 + Choice_3_2_4 + Choice_4_2_4 + Choice_5_2_4\n",
" + Choice_6_2_4 + Choice_7_2_4 + Choice_8_2_4 + Choice_9_2_4 = 1\n",
"\n",
"_C14: Choice_1_2_5 + Choice_2_2_5 + Choice_3_2_5 + Choice_4_2_5 + Choice_5_2_5\n",
" + Choice_6_2_5 + Choice_7_2_5 + Choice_8_2_5 + Choice_9_2_5 = 1\n",
"\n",
"_C15: Choice_1_2_6 + Choice_2_2_6 + Choice_3_2_6 + Choice_4_2_6 + Choice_5_2_6\n",
" + Choice_6_2_6 + Choice_7_2_6 + Choice_8_2_6 + Choice_9_2_6 = 1\n",
"\n",
"_C16: Choice_1_2_7 + Choice_2_2_7 + Choice_3_2_7 + Choice_4_2_7 + Choice_5_2_7\n",
" + Choice_6_2_7 + Choice_7_2_7 + Choice_8_2_7 + Choice_9_2_7 = 1\n",
"\n",
"_C17: Choice_1_2_8 + Choice_2_2_8 + Choice_3_2_8 + Choice_4_2_8 + Choice_5_2_8\n",
" + Choice_6_2_8 + Choice_7_2_8 + Choice_8_2_8 + Choice_9_2_8 = 1\n",
"\n",
"_C18: Choice_1_2_9 + Choice_2_2_9 + Choice_3_2_9 + Choice_4_2_9 + Choice_5_2_9\n",
" + Choice_6_2_9 + Choice_7_2_9 + Choice_8_2_9 + Choice_9_2_9 = 1\n",
"\n",
"_C19: Choice_1_3_1 + Choice_2_3_1 + Choice_3_3_1 + Choice_4_3_1 + Choice_5_3_1\n",
" + Choice_6_3_1 + Choice_7_3_1 + Choice_8_3_1 + Choice_9_3_1 = 1\n",
"\n",
"_C20: Choice_1_3_2 + Choice_2_3_2 + Choice_3_3_2 + Choice_4_3_2 + Choice_5_3_2\n",
" + Choice_6_3_2 + Choice_7_3_2 + Choice_8_3_2 + Choice_9_3_2 = 1\n",
"\n",
"_C21: Choice_1_3_3 + Choice_2_3_3 + Choice_3_3_3 + Choice_4_3_3 + Choice_5_3_3\n",
" + Choice_6_3_3 + Choice_7_3_3 + Choice_8_3_3 + Choice_9_3_3 = 1\n",
"\n",
"_C22: Choice_1_3_4 + Choice_2_3_4 + Choice_3_3_4 + Choice_4_3_4 + Choice_5_3_4\n",
" + Choice_6_3_4 + Choice_7_3_4 + Choice_8_3_4 + Choice_9_3_4 = 1\n",
"\n",
"_C23: Choice_1_3_5 + Choice_2_3_5 + Choice_3_3_5 + Choice_4_3_5 + Choice_5_3_5\n",
" + Choice_6_3_5 + Choice_7_3_5 + Choice_8_3_5 + Choice_9_3_5 = 1\n",
"\n",
"_C24: Choice_1_3_6 + Choice_2_3_6 + Choice_3_3_6 + Choice_4_3_6 + Choice_5_3_6\n",
" + Choice_6_3_6 + Choice_7_3_6 + Choice_8_3_6 + Choice_9_3_6 = 1\n",
"\n",
"_C25: Choice_1_3_7 + Choice_2_3_7 + Choice_3_3_7 + Choice_4_3_7 + Choice_5_3_7\n",
" + Choice_6_3_7 + Choice_7_3_7 + Choice_8_3_7 + Choice_9_3_7 = 1\n",
"\n",
"_C26: Choice_1_3_8 + Choice_2_3_8 + Choice_3_3_8 + Choice_4_3_8 + Choice_5_3_8\n",
" + Choice_6_3_8 + Choice_7_3_8 + Choice_8_3_8 + Choice_9_3_8 = 1\n",
"\n",
"_C27: Choice_1_3_9 + Choice_2_3_9 + Choice_3_3_9 + Choice_4_3_9 + Choice_5_3_9\n",
" + Choice_6_3_9 + Choice_7_3_9 + Choice_8_3_9 + Choice_9_3_9 = 1\n",
"\n",
"_C28: Choice_1_4_1 + Choice_2_4_1 + Choice_3_4_1 + Choice_4_4_1 + Choice_5_4_1\n",
" + Choice_6_4_1 + Choice_7_4_1 + Choice_8_4_1 + Choice_9_4_1 = 1\n",
"\n",
"_C29: Choice_1_4_2 + Choice_2_4_2 + Choice_3_4_2 + Choice_4_4_2 + Choice_5_4_2\n",
" + Choice_6_4_2 + Choice_7_4_2 + Choice_8_4_2 + Choice_9_4_2 = 1\n",
"\n",
"_C30: Choice_1_4_3 + Choice_2_4_3 + Choice_3_4_3 + Choice_4_4_3 + Choice_5_4_3\n",
" + Choice_6_4_3 + Choice_7_4_3 + Choice_8_4_3 + Choice_9_4_3 = 1\n",
"\n",
"_C31: Choice_1_4_4 + Choice_2_4_4 + Choice_3_4_4 + Choice_4_4_4 + Choice_5_4_4\n",
" + Choice_6_4_4 + Choice_7_4_4 + Choice_8_4_4 + Choice_9_4_4 = 1\n",
"\n",
"_C32: Choice_1_4_5 + Choice_2_4_5 + Choice_3_4_5 + Choice_4_4_5 + Choice_5_4_5\n",
" + Choice_6_4_5 + Choice_7_4_5 + Choice_8_4_5 + Choice_9_4_5 = 1\n",
"\n",
"_C33: Choice_1_4_6 + Choice_2_4_6 + Choice_3_4_6 + Choice_4_4_6 + Choice_5_4_6\n",
" + Choice_6_4_6 + Choice_7_4_6 + Choice_8_4_6 + Choice_9_4_6 = 1\n",
"\n",
"_C34: Choice_1_4_7 + Choice_2_4_7 + Choice_3_4_7 + Choice_4_4_7 + Choice_5_4_7\n",
" + Choice_6_4_7 + Choice_7_4_7 + Choice_8_4_7 + Choice_9_4_7 = 1\n",
"\n",
"_C35: Choice_1_4_8 + Choice_2_4_8 + Choice_3_4_8 + Choice_4_4_8 + Choice_5_4_8\n",
" + Choice_6_4_8 + Choice_7_4_8 + Choice_8_4_8 + Choice_9_4_8 = 1\n",
"\n",
"_C36: Choice_1_4_9 + Choice_2_4_9 + Choice_3_4_9 + Choice_4_4_9 + Choice_5_4_9\n",
" + Choice_6_4_9 + Choice_7_4_9 + Choice_8_4_9 + Choice_9_4_9 = 1\n",
"\n",
"_C37: Choice_1_5_1 + Choice_2_5_1 + Choice_3_5_1 + Choice_4_5_1 + Choice_5_5_1\n",
" + Choice_6_5_1 + Choice_7_5_1 + Choice_8_5_1 + Choice_9_5_1 = 1\n",
"\n",
"_C38: Choice_1_5_2 + Choice_2_5_2 + Choice_3_5_2 + Choice_4_5_2 + Choice_5_5_2\n",
" + Choice_6_5_2 + Choice_7_5_2 + Choice_8_5_2 + Choice_9_5_2 = 1\n",
"\n",
"_C39: Choice_1_5_3 + Choice_2_5_3 + Choice_3_5_3 + Choice_4_5_3 + Choice_5_5_3\n",
" + Choice_6_5_3 + Choice_7_5_3 + Choice_8_5_3 + Choice_9_5_3 = 1\n",
"\n",
"_C40: Choice_1_5_4 + Choice_2_5_4 + Choice_3_5_4 + Choice_4_5_4 + Choice_5_5_4\n",
" + Choice_6_5_4 + Choice_7_5_4 + Choice_8_5_4 + Choice_9_5_4 = 1\n",
"\n",
"_C41: Choice_1_5_5 + Choice_2_5_5 + Choice_3_5_5 + Choice_4_5_5 + Choice_5_5_5\n",
" + Choice_6_5_5 + Choice_7_5_5 + Choice_8_5_5 + Choice_9_5_5 = 1\n",
"\n",
"_C42: Choice_1_5_6 + Choice_2_5_6 + Choice_3_5_6 + Choice_4_5_6 + Choice_5_5_6\n",
" + Choice_6_5_6 + Choice_7_5_6 + Choice_8_5_6 + Choice_9_5_6 = 1\n",
"\n",
"_C43: Choice_1_5_7 + Choice_2_5_7 + Choice_3_5_7 + Choice_4_5_7 + Choice_5_5_7\n",
" + Choice_6_5_7 + Choice_7_5_7 + Choice_8_5_7 + Choice_9_5_7 = 1\n",
"\n",
"_C44: Choice_1_5_8 + Choice_2_5_8 + Choice_3_5_8 + Choice_4_5_8 + Choice_5_5_8\n",
" + Choice_6_5_8 + Choice_7_5_8 + Choice_8_5_8 + Choice_9_5_8 = 1\n",
"\n",
"_C45: Choice_1_5_9 + Choice_2_5_9 + Choice_3_5_9 + Choice_4_5_9 + Choice_5_5_9\n",
" + Choice_6_5_9 + Choice_7_5_9 + Choice_8_5_9 + Choice_9_5_9 = 1\n",
"\n",
"_C46: Choice_1_6_1 + Choice_2_6_1 + Choice_3_6_1 + Choice_4_6_1 + Choice_5_6_1\n",
" + Choice_6_6_1 + Choice_7_6_1 + Choice_8_6_1 + Choice_9_6_1 = 1\n",
"\n",
"_C47: Choice_1_6_2 + Choice_2_6_2 + Choice_3_6_2 + Choice_4_6_2 + Choice_5_6_2\n",
" + Choice_6_6_2 + Choice_7_6_2 + Choice_8_6_2 + Choice_9_6_2 = 1\n",
"\n",
"_C48: Choice_1_6_3 + Choice_2_6_3 + Choice_3_6_3 + Choice_4_6_3 + Choice_5_6_3\n",
" + Choice_6_6_3 + Choice_7_6_3 + Choice_8_6_3 + Choice_9_6_3 = 1\n",
"\n",
"_C49: Choice_1_6_4 + Choice_2_6_4 + Choice_3_6_4 + Choice_4_6_4 + Choice_5_6_4\n",
" + Choice_6_6_4 + Choice_7_6_4 + Choice_8_6_4 + Choice_9_6_4 = 1\n",
"\n",
"_C50: Choice_1_6_5 + Choice_2_6_5 + Choice_3_6_5 + Choice_4_6_5 + Choice_5_6_5\n",
" + Choice_6_6_5 + Choice_7_6_5 + Choice_8_6_5 + Choice_9_6_5 = 1\n",
"\n",
"_C51: Choice_1_6_6 + Choice_2_6_6 + Choice_3_6_6 + Choice_4_6_6 + Choice_5_6_6\n",
" + Choice_6_6_6 + Choice_7_6_6 + Choice_8_6_6 + Choice_9_6_6 = 1\n",
"\n",
"_C52: Choice_1_6_7 + Choice_2_6_7 + Choice_3_6_7 + Choice_4_6_7 + Choice_5_6_7\n",
" + Choice_6_6_7 + Choice_7_6_7 + Choice_8_6_7 + Choice_9_6_7 = 1\n",
"\n",
"_C53: Choice_1_6_8 + Choice_2_6_8 + Choice_3_6_8 + Choice_4_6_8 + Choice_5_6_8\n",
" + Choice_6_6_8 + Choice_7_6_8 + Choice_8_6_8 + Choice_9_6_8 = 1\n",
"\n",
"_C54: Choice_1_6_9 + Choice_2_6_9 + Choice_3_6_9 + Choice_4_6_9 + Choice_5_6_9\n",
" + Choice_6_6_9 + Choice_7_6_9 + Choice_8_6_9 + Choice_9_6_9 = 1\n",
"\n",
"_C55: Choice_1_7_1 + Choice_2_7_1 + Choice_3_7_1 + Choice_4_7_1 + Choice_5_7_1\n",
" + Choice_6_7_1 + Choice_7_7_1 + Choice_8_7_1 + Choice_9_7_1 = 1\n",
"\n",
"_C56: Choice_1_7_2 + Choice_2_7_2 + Choice_3_7_2 + Choice_4_7_2 + Choice_5_7_2\n",
" + Choice_6_7_2 + Choice_7_7_2 + Choice_8_7_2 + Choice_9_7_2 = 1\n",
"\n",
"_C57: Choice_1_7_3 + Choice_2_7_3 + Choice_3_7_3 + Choice_4_7_3 + Choice_5_7_3\n",
" + Choice_6_7_3 + Choice_7_7_3 + Choice_8_7_3 + Choice_9_7_3 = 1\n",
"\n",
"_C58: Choice_1_7_4 + Choice_2_7_4 + Choice_3_7_4 + Choice_4_7_4 + Choice_5_7_4\n",
" + Choice_6_7_4 + Choice_7_7_4 + Choice_8_7_4 + Choice_9_7_4 = 1\n",
"\n",
"_C59: Choice_1_7_5 + Choice_2_7_5 + Choice_3_7_5 + Choice_4_7_5 + Choice_5_7_5\n",
" + Choice_6_7_5 + Choice_7_7_5 + Choice_8_7_5 + Choice_9_7_5 = 1\n",
"\n",
"_C60: Choice_1_7_6 + Choice_2_7_6 + Choice_3_7_6 + Choice_4_7_6 + Choice_5_7_6\n",
" + Choice_6_7_6 + Choice_7_7_6 + Choice_8_7_6 + Choice_9_7_6 = 1\n",
"\n",
"_C61: Choice_1_7_7 + Choice_2_7_7 + Choice_3_7_7 + Choice_4_7_7 + Choice_5_7_7\n",
" + Choice_6_7_7 + Choice_7_7_7 + Choice_8_7_7 + Choice_9_7_7 = 1\n",
"\n",
"_C62: Choice_1_7_8 + Choice_2_7_8 + Choice_3_7_8 + Choice_4_7_8 + Choice_5_7_8\n",
" + Choice_6_7_8 + Choice_7_7_8 + Choice_8_7_8 + Choice_9_7_8 = 1\n",
"\n",
"_C63: Choice_1_7_9 + Choice_2_7_9 + Choice_3_7_9 + Choice_4_7_9 + Choice_5_7_9\n",
" + Choice_6_7_9 + Choice_7_7_9 + Choice_8_7_9 + Choice_9_7_9 = 1\n",
"\n",
"_C64: Choice_1_8_1 + Choice_2_8_1 + Choice_3_8_1 + Choice_4_8_1 + Choice_5_8_1\n",
" + Choice_6_8_1 + Choice_7_8_1 + Choice_8_8_1 + Choice_9_8_1 = 1\n",
"\n",
"_C65: Choice_1_8_2 + Choice_2_8_2 + Choice_3_8_2 + Choice_4_8_2 + Choice_5_8_2\n",
" + Choice_6_8_2 + Choice_7_8_2 + Choice_8_8_2 + Choice_9_8_2 = 1\n",
"\n",
"_C66: Choice_1_8_3 + Choice_2_8_3 + Choice_3_8_3 + Choice_4_8_3 + Choice_5_8_3\n",
" + Choice_6_8_3 + Choice_7_8_3 + Choice_8_8_3 + Choice_9_8_3 = 1\n",
"\n",
"_C67: Choice_1_8_4 + Choice_2_8_4 + Choice_3_8_4 + Choice_4_8_4 + Choice_5_8_4\n",
" + Choice_6_8_4 + Choice_7_8_4 + Choice_8_8_4 + Choice_9_8_4 = 1\n",
"\n",
"_C68: Choice_1_8_5 + Choice_2_8_5 + Choice_3_8_5 + Choice_4_8_5 + Choice_5_8_5\n",
" + Choice_6_8_5 + Choice_7_8_5 + Choice_8_8_5 + Choice_9_8_5 = 1\n",
"\n",
"_C69: Choice_1_8_6 + Choice_2_8_6 + Choice_3_8_6 + Choice_4_8_6 + Choice_5_8_6\n",
" + Choice_6_8_6 + Choice_7_8_6 + Choice_8_8_6 + Choice_9_8_6 = 1\n",
"\n",
"_C70: Choice_1_8_7 + Choice_2_8_7 + Choice_3_8_7 + Choice_4_8_7 + Choice_5_8_7\n",
" + Choice_6_8_7 + Choice_7_8_7 + Choice_8_8_7 + Choice_9_8_7 = 1\n",
"\n",
"_C71: Choice_1_8_8 + Choice_2_8_8 + Choice_3_8_8 + Choice_4_8_8 + Choice_5_8_8\n",
" + Choice_6_8_8 + Choice_7_8_8 + Choice_8_8_8 + Choice_9_8_8 = 1\n",
"\n",
"_C72: Choice_1_8_9 + Choice_2_8_9 + Choice_3_8_9 + Choice_4_8_9 + Choice_5_8_9\n",
" + Choice_6_8_9 + Choice_7_8_9 + Choice_8_8_9 + Choice_9_8_9 = 1\n",
"\n",
"_C73: Choice_1_9_1 + Choice_2_9_1 + Choice_3_9_1 + Choice_4_9_1 + Choice_5_9_1\n",
" + Choice_6_9_1 + Choice_7_9_1 + Choice_8_9_1 + Choice_9_9_1 = 1\n",
"\n",
"_C74: Choice_1_9_2 + Choice_2_9_2 + Choice_3_9_2 + Choice_4_9_2 + Choice_5_9_2\n",
" + Choice_6_9_2 + Choice_7_9_2 + Choice_8_9_2 + Choice_9_9_2 = 1\n",
"\n",
"_C75: Choice_1_9_3 + Choice_2_9_3 + Choice_3_9_3 + Choice_4_9_3 + Choice_5_9_3\n",
" + Choice_6_9_3 + Choice_7_9_3 + Choice_8_9_3 + Choice_9_9_3 = 1\n",
"\n",
"_C76: Choice_1_9_4 + Choice_2_9_4 + Choice_3_9_4 + Choice_4_9_4 + Choice_5_9_4\n",
" + Choice_6_9_4 + Choice_7_9_4 + Choice_8_9_4 + Choice_9_9_4 = 1\n",
"\n",
"_C77: Choice_1_9_5 + Choice_2_9_5 + Choice_3_9_5 + Choice_4_9_5 + Choice_5_9_5\n",
" + Choice_6_9_5 + Choice_7_9_5 + Choice_8_9_5 + Choice_9_9_5 = 1\n",
"\n",
"_C78: Choice_1_9_6 + Choice_2_9_6 + Choice_3_9_6 + Choice_4_9_6 + Choice_5_9_6\n",
" + Choice_6_9_6 + Choice_7_9_6 + Choice_8_9_6 + Choice_9_9_6 = 1\n",
"\n",
"_C79: Choice_1_9_7 + Choice_2_9_7 + Choice_3_9_7 + Choice_4_9_7 + Choice_5_9_7\n",
" + Choice_6_9_7 + Choice_7_9_7 + Choice_8_9_7 + Choice_9_9_7 = 1\n",
"\n",
"_C80: Choice_1_9_8 + Choice_2_9_8 + Choice_3_9_8 + Choice_4_9_8 + Choice_5_9_8\n",
" + Choice_6_9_8 + Choice_7_9_8 + Choice_8_9_8 + Choice_9_9_8 = 1\n",
"\n",
"_C81: Choice_1_9_9 + Choice_2_9_9 + Choice_3_9_9 + Choice_4_9_9 + Choice_5_9_9\n",
" + Choice_6_9_9 + Choice_7_9_9 + Choice_8_9_9 + Choice_9_9_9 = 1\n",
"\n",
"_C82: Choice_1_1_1 + Choice_1_1_2 + Choice_1_1_3 + Choice_1_1_4 + Choice_1_1_5\n",
" + Choice_1_1_6 + Choice_1_1_7 + Choice_1_1_8 + Choice_1_1_9 = 1\n",
"\n",
"_C83: Choice_1_2_1 + Choice_1_2_2 + Choice_1_2_3 + Choice_1_2_4 + Choice_1_2_5\n",
" + Choice_1_2_6 + Choice_1_2_7 + Choice_1_2_8 + Choice_1_2_9 = 1\n",
"\n",
"_C84: Choice_1_3_1 + Choice_1_3_2 + Choice_1_3_3 + Choice_1_3_4 + Choice_1_3_5\n",
" + Choice_1_3_6 + Choice_1_3_7 + Choice_1_3_8 + Choice_1_3_9 = 1\n",
"\n",
"_C85: Choice_1_4_1 + Choice_1_4_2 + Choice_1_4_3 + Choice_1_4_4 + Choice_1_4_5\n",
" + Choice_1_4_6 + Choice_1_4_7 + Choice_1_4_8 + Choice_1_4_9 = 1\n",
"\n",
"_C86: Choice_1_5_1 + Choice_1_5_2 + Choice_1_5_3 + Choice_1_5_4 + Choice_1_5_5\n",
" + Choice_1_5_6 + Choice_1_5_7 + Choice_1_5_8 + Choice_1_5_9 = 1\n",
"\n",
"_C87: Choice_1_6_1 + Choice_1_6_2 + Choice_1_6_3 + Choice_1_6_4 + Choice_1_6_5\n",
" + Choice_1_6_6 + Choice_1_6_7 + Choice_1_6_8 + Choice_1_6_9 = 1\n",
"\n",
"_C88: Choice_1_7_1 + Choice_1_7_2 + Choice_1_7_3 + Choice_1_7_4 + Choice_1_7_5\n",
" + Choice_1_7_6 + Choice_1_7_7 + Choice_1_7_8 + Choice_1_7_9 = 1\n",
"\n",
"_C89: Choice_1_8_1 + Choice_1_8_2 + Choice_1_8_3 + Choice_1_8_4 + Choice_1_8_5\n",
" + Choice_1_8_6 + Choice_1_8_7 + Choice_1_8_8 + Choice_1_8_9 = 1\n",
"\n",
"_C90: Choice_1_9_1 + Choice_1_9_2 + Choice_1_9_3 + Choice_1_9_4 + Choice_1_9_5\n",
" + Choice_1_9_6 + Choice_1_9_7 + Choice_1_9_8 + Choice_1_9_9 = 1\n",
"\n",
"_C91: Choice_1_1_1 + Choice_1_2_1 + Choice_1_3_1 + Choice_1_4_1 + Choice_1_5_1\n",
" + Choice_1_6_1 + Choice_1_7_1 + Choice_1_8_1 + Choice_1_9_1 = 1\n",
"\n",
"_C92: Choice_1_1_2 + Choice_1_2_2 + Choice_1_3_2 + Choice_1_4_2 + Choice_1_5_2\n",
" + Choice_1_6_2 + Choice_1_7_2 + Choice_1_8_2 + Choice_1_9_2 = 1\n",
"\n",
"_C93: Choice_1_1_3 + Choice_1_2_3 + Choice_1_3_3 + Choice_1_4_3 + Choice_1_5_3\n",
" + Choice_1_6_3 + Choice_1_7_3 + Choice_1_8_3 + Choice_1_9_3 = 1\n",
"\n",
"_C94: Choice_1_1_4 + Choice_1_2_4 + Choice_1_3_4 + Choice_1_4_4 + Choice_1_5_4\n",
" + Choice_1_6_4 + Choice_1_7_4 + Choice_1_8_4 + Choice_1_9_4 = 1\n",
"\n",
"_C95: Choice_1_1_5 + Choice_1_2_5 + Choice_1_3_5 + Choice_1_4_5 + Choice_1_5_5\n",
" + Choice_1_6_5 + Choice_1_7_5 + Choice_1_8_5 + Choice_1_9_5 = 1\n",
"\n",
"_C96: Choice_1_1_6 + Choice_1_2_6 + Choice_1_3_6 + Choice_1_4_6 + Choice_1_5_6\n",
" + Choice_1_6_6 + Choice_1_7_6 + Choice_1_8_6 + Choice_1_9_6 = 1\n",
"\n",
"_C97: Choice_1_1_7 + Choice_1_2_7 + Choice_1_3_7 + Choice_1_4_7 + Choice_1_5_7\n",
" + Choice_1_6_7 + Choice_1_7_7 + Choice_1_8_7 + Choice_1_9_7 = 1\n",
"\n",
"_C98: Choice_1_1_8 + Choice_1_2_8 + Choice_1_3_8 + Choice_1_4_8 + Choice_1_5_8\n",
" + Choice_1_6_8 + Choice_1_7_8 + Choice_1_8_8 + Choice_1_9_8 = 1\n",
"\n",
"_C99: Choice_1_1_9 + Choice_1_2_9 + Choice_1_3_9 + Choice_1_4_9 + Choice_1_5_9\n",
" + Choice_1_6_9 + Choice_1_7_9 + Choice_1_8_9 + Choice_1_9_9 = 1\n",
"\n",
"_C100: Choice_1_1_1 + Choice_1_1_2 + Choice_1_1_3 + Choice_1_2_1\n",
" + Choice_1_2_2 + Choice_1_2_3 + Choice_1_3_1 + Choice_1_3_2 + Choice_1_3_3\n",
" = 1\n",
"\n",
"_C101: Choice_1_1_4 + Choice_1_1_5 + Choice_1_1_6 + Choice_1_2_4\n",
" + Choice_1_2_5 + Choice_1_2_6 + Choice_1_3_4 + Choice_1_3_5 + Choice_1_3_6\n",
" = 1\n",
"\n",
"_C102: Choice_1_1_7 + Choice_1_1_8 + Choice_1_1_9 + Choice_1_2_7\n",
" + Choice_1_2_8 + Choice_1_2_9 + Choice_1_3_7 + Choice_1_3_8 + Choice_1_3_9\n",
" = 1\n",
"\n",
"_C103: Choice_1_4_1 + Choice_1_4_2 + Choice_1_4_3 + Choice_1_5_1\n",
" + Choice_1_5_2 + Choice_1_5_3 + Choice_1_6_1 + Choice_1_6_2 + Choice_1_6_3\n",
" = 1\n",
"\n",
"_C104: Choice_1_4_4 + Choice_1_4_5 + Choice_1_4_6 + Choice_1_5_4\n",
" + Choice_1_5_5 + Choice_1_5_6 + Choice_1_6_4 + Choice_1_6_5 + Choice_1_6_6\n",
" = 1\n",
"\n",
"_C105: Choice_1_4_7 + Choice_1_4_8 + Choice_1_4_9 + Choice_1_5_7\n",
" + Choice_1_5_8 + Choice_1_5_9 + Choice_1_6_7 + Choice_1_6_8 + Choice_1_6_9\n",
" = 1\n",
"\n",
"_C106: Choice_1_7_1 + Choice_1_7_2 + Choice_1_7_3 + Choice_1_8_1\n",
" + Choice_1_8_2 + Choice_1_8_3 + Choice_1_9_1 + Choice_1_9_2 + Choice_1_9_3\n",
" = 1\n",
"\n",
"_C107: Choice_1_7_4 + Choice_1_7_5 + Choice_1_7_6 + Choice_1_8_4\n",
" + Choice_1_8_5 + Choice_1_8_6 + Choice_1_9_4 + Choice_1_9_5 + Choice_1_9_6\n",
" = 1\n",
"\n",
"_C108: Choice_1_7_7 + Choice_1_7_8 + Choice_1_7_9 + Choice_1_8_7\n",
" + Choice_1_8_8 + Choice_1_8_9 + Choice_1_9_7 + Choice_1_9_8 + Choice_1_9_9\n",
" = 1\n",
"\n",
"_C109: Choice_2_1_1 + Choice_2_1_2 + Choice_2_1_3 + Choice_2_1_4\n",
" + Choice_2_1_5 + Choice_2_1_6 + Choice_2_1_7 + Choice_2_1_8 + Choice_2_1_9\n",
" = 1\n",
"\n",
"_C110: Choice_2_2_1 + Choice_2_2_2 + Choice_2_2_3 + Choice_2_2_4\n",
" + Choice_2_2_5 + Choice_2_2_6 + Choice_2_2_7 + Choice_2_2_8 + Choice_2_2_9\n",
" = 1\n",
"\n",
"_C111: Choice_2_3_1 + Choice_2_3_2 + Choice_2_3_3 + Choice_2_3_4\n",
" + Choice_2_3_5 + Choice_2_3_6 + Choice_2_3_7 + Choice_2_3_8 + Choice_2_3_9\n",
" = 1\n",
"\n",
"_C112: Choice_2_4_1 + Choice_2_4_2 + Choice_2_4_3 + Choice_2_4_4\n",
" + Choice_2_4_5 + Choice_2_4_6 + Choice_2_4_7 + Choice_2_4_8 + Choice_2_4_9\n",
" = 1\n",
"\n",
"_C113: Choice_2_5_1 + Choice_2_5_2 + Choice_2_5_3 + Choice_2_5_4\n",
" + Choice_2_5_5 + Choice_2_5_6 + Choice_2_5_7 + Choice_2_5_8 + Choice_2_5_9\n",
" = 1\n",
"\n",
"_C114: Choice_2_6_1 + Choice_2_6_2 + Choice_2_6_3 + Choice_2_6_4\n",
" + Choice_2_6_5 + Choice_2_6_6 + Choice_2_6_7 + Choice_2_6_8 + Choice_2_6_9\n",
" = 1\n",
"\n",
"_C115: Choice_2_7_1 + Choice_2_7_2 + Choice_2_7_3 + Choice_2_7_4\n",
" + Choice_2_7_5 + Choice_2_7_6 + Choice_2_7_7 + Choice_2_7_8 + Choice_2_7_9\n",
" = 1\n",
"\n",
"_C116: Choice_2_8_1 + Choice_2_8_2 + Choice_2_8_3 + Choice_2_8_4\n",
" + Choice_2_8_5 + Choice_2_8_6 + Choice_2_8_7 + Choice_2_8_8 + Choice_2_8_9\n",
" = 1\n",
"\n",
"_C117: Choice_2_9_1 + Choice_2_9_2 + Choice_2_9_3 + Choice_2_9_4\n",
" + Choice_2_9_5 + Choice_2_9_6 + Choice_2_9_7 + Choice_2_9_8 + Choice_2_9_9\n",
" = 1\n",
"\n",
"_C118: Choice_2_1_1 + Choice_2_2_1 + Choice_2_3_1 + Choice_2_4_1\n",
" + Choice_2_5_1 + Choice_2_6_1 + Choice_2_7_1 + Choice_2_8_1 + Choice_2_9_1\n",
" = 1\n",
"\n",
"_C119: Choice_2_1_2 + Choice_2_2_2 + Choice_2_3_2 + Choice_2_4_2\n",
" + Choice_2_5_2 + Choice_2_6_2 + Choice_2_7_2 + Choice_2_8_2 + Choice_2_9_2\n",
" = 1\n",
"\n",
"_C120: Choice_2_1_3 + Choice_2_2_3 + Choice_2_3_3 + Choice_2_4_3\n",
" + Choice_2_5_3 + Choice_2_6_3 + Choice_2_7_3 + Choice_2_8_3 + Choice_2_9_3\n",
" = 1\n",
"\n",
"_C121: Choice_2_1_4 + Choice_2_2_4 + Choice_2_3_4 + Choice_2_4_4\n",
" + Choice_2_5_4 + Choice_2_6_4 + Choice_2_7_4 + Choice_2_8_4 + Choice_2_9_4\n",
" = 1\n",
"\n",
"_C122: Choice_2_1_5 + Choice_2_2_5 + Choice_2_3_5 + Choice_2_4_5\n",
" + Choice_2_5_5 + Choice_2_6_5 + Choice_2_7_5 + Choice_2_8_5 + Choice_2_9_5\n",
" = 1\n",
"\n",
"_C123: Choice_2_1_6 + Choice_2_2_6 + Choice_2_3_6 + Choice_2_4_6\n",
" + Choice_2_5_6 + Choice_2_6_6 + Choice_2_7_6 + Choice_2_8_6 + Choice_2_9_6\n",
" = 1\n",
"\n",
"_C124: Choice_2_1_7 + Choice_2_2_7 + Choice_2_3_7 + Choice_2_4_7\n",
" + Choice_2_5_7 + Choice_2_6_7 + Choice_2_7_7 + Choice_2_8_7 + Choice_2_9_7\n",
" = 1\n",
"\n",
"_C125: Choice_2_1_8 + Choice_2_2_8 + Choice_2_3_8 + Choice_2_4_8\n",
" + Choice_2_5_8 + Choice_2_6_8 + Choice_2_7_8 + Choice_2_8_8 + Choice_2_9_8\n",
" = 1\n",
"\n",
"_C126: Choice_2_1_9 + Choice_2_2_9 + Choice_2_3_9 + Choice_2_4_9\n",
" + Choice_2_5_9 + Choice_2_6_9 + Choice_2_7_9 + Choice_2_8_9 + Choice_2_9_9\n",
" = 1\n",
"\n",
"_C127: Choice_2_1_1 + Choice_2_1_2 + Choice_2_1_3 + Choice_2_2_1\n",
" + Choice_2_2_2 + Choice_2_2_3 + Choice_2_3_1 + Choice_2_3_2 + Choice_2_3_3\n",
" = 1\n",
"\n",
"_C128: Choice_2_1_4 + Choice_2_1_5 + Choice_2_1_6 + Choice_2_2_4\n",
" + Choice_2_2_5 + Choice_2_2_6 + Choice_2_3_4 + Choice_2_3_5 + Choice_2_3_6\n",
" = 1\n",
"\n",
"_C129: Choice_2_1_7 + Choice_2_1_8 + Choice_2_1_9 + Choice_2_2_7\n",
" + Choice_2_2_8 + Choice_2_2_9 + Choice_2_3_7 + Choice_2_3_8 + Choice_2_3_9\n",
" = 1\n",
"\n",
"_C130: Choice_2_4_1 + Choice_2_4_2 + Choice_2_4_3 + Choice_2_5_1\n",
" + Choice_2_5_2 + Choice_2_5_3 + Choice_2_6_1 + Choice_2_6_2 + Choice_2_6_3\n",
" = 1\n",
"\n",
"_C131: Choice_2_4_4 + Choice_2_4_5 + Choice_2_4_6 + Choice_2_5_4\n",
" + Choice_2_5_5 + Choice_2_5_6 + Choice_2_6_4 + Choice_2_6_5 + Choice_2_6_6\n",
" = 1\n",
"\n",
"_C132: Choice_2_4_7 + Choice_2_4_8 + Choice_2_4_9 + Choice_2_5_7\n",
" + Choice_2_5_8 + Choice_2_5_9 + Choice_2_6_7 + Choice_2_6_8 + Choice_2_6_9\n",
" = 1\n",
"\n",
"_C133: Choice_2_7_1 + Choice_2_7_2 + Choice_2_7_3 + Choice_2_8_1\n",
" + Choice_2_8_2 + Choice_2_8_3 + Choice_2_9_1 + Choice_2_9_2 + Choice_2_9_3\n",
" = 1\n",
"\n",
"_C134: Choice_2_7_4 + Choice_2_7_5 + Choice_2_7_6 + Choice_2_8_4\n",
" + Choice_2_8_5 + Choice_2_8_6 + Choice_2_9_4 + Choice_2_9_5 + Choice_2_9_6\n",
" = 1\n",
"\n",
"_C135: Choice_2_7_7 + Choice_2_7_8 + Choice_2_7_9 + Choice_2_8_7\n",
" + Choice_2_8_8 + Choice_2_8_9 + Choice_2_9_7 + Choice_2_9_8 + Choice_2_9_9\n",
" = 1\n",
"\n",
"_C136: Choice_3_1_1 + Choice_3_1_2 + Choice_3_1_3 + Choice_3_1_4\n",
" + Choice_3_1_5 + Choice_3_1_6 + Choice_3_1_7 + Choice_3_1_8 + Choice_3_1_9\n",
" = 1\n",
"\n",
"_C137: Choice_3_2_1 + Choice_3_2_2 + Choice_3_2_3 + Choice_3_2_4\n",
" + Choice_3_2_5 + Choice_3_2_6 + Choice_3_2_7 + Choice_3_2_8 + Choice_3_2_9\n",
" = 1\n",
"\n",
"_C138: Choice_3_3_1 + Choice_3_3_2 + Choice_3_3_3 + Choice_3_3_4\n",
" + Choice_3_3_5 + Choice_3_3_6 + Choice_3_3_7 + Choice_3_3_8 + Choice_3_3_9\n",
" = 1\n",
"\n",
"_C139: Choice_3_4_1 + Choice_3_4_2 + Choice_3_4_3 + Choice_3_4_4\n",
" + Choice_3_4_5 + Choice_3_4_6 + Choice_3_4_7 + Choice_3_4_8 + Choice_3_4_9\n",
" = 1\n",
"\n",
"_C140: Choice_3_5_1 + Choice_3_5_2 + Choice_3_5_3 + Choice_3_5_4\n",
" + Choice_3_5_5 + Choice_3_5_6 + Choice_3_5_7 + Choice_3_5_8 + Choice_3_5_9\n",
" = 1\n",
"\n",
"_C141: Choice_3_6_1 + Choice_3_6_2 + Choice_3_6_3 + Choice_3_6_4\n",
" + Choice_3_6_5 + Choice_3_6_6 + Choice_3_6_7 + Choice_3_6_8 + Choice_3_6_9\n",
" = 1\n",
"\n",
"_C142: Choice_3_7_1 + Choice_3_7_2 + Choice_3_7_3 + Choice_3_7_4\n",
" + Choice_3_7_5 + Choice_3_7_6 + Choice_3_7_7 + Choice_3_7_8 + Choice_3_7_9\n",
" = 1\n",
"\n",
"_C143: Choice_3_8_1 + Choice_3_8_2 + Choice_3_8_3 + Choice_3_8_4\n",
" + Choice_3_8_5 + Choice_3_8_6 + Choice_3_8_7 + Choice_3_8_8 + Choice_3_8_9\n",
" = 1\n",
"\n",
"_C144: Choice_3_9_1 + Choice_3_9_2 + Choice_3_9_3 + Choice_3_9_4\n",
" + Choice_3_9_5 + Choice_3_9_6 + Choice_3_9_7 + Choice_3_9_8 + Choice_3_9_9\n",
" = 1\n",
"\n",
"_C145: Choice_3_1_1 + Choice_3_2_1 + Choice_3_3_1 + Choice_3_4_1\n",
" + Choice_3_5_1 + Choice_3_6_1 + Choice_3_7_1 + Choice_3_8_1 + Choice_3_9_1\n",
" = 1\n",
"\n",
"_C146: Choice_3_1_2 + Choice_3_2_2 + Choice_3_3_2 + Choice_3_4_2\n",
" + Choice_3_5_2 + Choice_3_6_2 + Choice_3_7_2 + Choice_3_8_2 + Choice_3_9_2\n",
" = 1\n",
"\n",
"_C147: Choice_3_1_3 + Choice_3_2_3 + Choice_3_3_3 + Choice_3_4_3\n",
" + Choice_3_5_3 + Choice_3_6_3 + Choice_3_7_3 + Choice_3_8_3 + Choice_3_9_3\n",
" = 1\n",
"\n",
"_C148: Choice_3_1_4 + Choice_3_2_4 + Choice_3_3_4 + Choice_3_4_4\n",
" + Choice_3_5_4 + Choice_3_6_4 + Choice_3_7_4 + Choice_3_8_4 + Choice_3_9_4\n",
" = 1\n",
"\n",
"_C149: Choice_3_1_5 + Choice_3_2_5 + Choice_3_3_5 + Choice_3_4_5\n",
" + Choice_3_5_5 + Choice_3_6_5 + Choice_3_7_5 + Choice_3_8_5 + Choice_3_9_5\n",
" = 1\n",
"\n",
"_C150: Choice_3_1_6 + Choice_3_2_6 + Choice_3_3_6 + Choice_3_4_6\n",
" + Choice_3_5_6 + Choice_3_6_6 + Choice_3_7_6 + Choice_3_8_6 + Choice_3_9_6\n",
" = 1\n",
"\n",
"_C151: Choice_3_1_7 + Choice_3_2_7 + Choice_3_3_7 + Choice_3_4_7\n",
" + Choice_3_5_7 + Choice_3_6_7 + Choice_3_7_7 + Choice_3_8_7 + Choice_3_9_7\n",
" = 1\n",
"\n",
"_C152: Choice_3_1_8 + Choice_3_2_8 + Choice_3_3_8 + Choice_3_4_8\n",
" + Choice_3_5_8 + Choice_3_6_8 + Choice_3_7_8 + Choice_3_8_8 + Choice_3_9_8\n",
" = 1\n",
"\n",
"_C153: Choice_3_1_9 + Choice_3_2_9 + Choice_3_3_9 + Choice_3_4_9\n",
" + Choice_3_5_9 + Choice_3_6_9 + Choice_3_7_9 + Choice_3_8_9 + Choice_3_9_9\n",
" = 1\n",
"\n",
"_C154: Choice_3_1_1 + Choice_3_1_2 + Choice_3_1_3 + Choice_3_2_1\n",
" + Choice_3_2_2 + Choice_3_2_3 + Choice_3_3_1 + Choice_3_3_2 + Choice_3_3_3\n",
" = 1\n",
"\n",
"_C155: Choice_3_1_4 + Choice_3_1_5 + Choice_3_1_6 + Choice_3_2_4\n",
" + Choice_3_2_5 + Choice_3_2_6 + Choice_3_3_4 + Choice_3_3_5 + Choice_3_3_6\n",
" = 1\n",
"\n",
"_C156: Choice_3_1_7 + Choice_3_1_8 + Choice_3_1_9 + Choice_3_2_7\n",
" + Choice_3_2_8 + Choice_3_2_9 + Choice_3_3_7 + Choice_3_3_8 + Choice_3_3_9\n",
" = 1\n",
"\n",
"_C157: Choice_3_4_1 + Choice_3_4_2 + Choice_3_4_3 + Choice_3_5_1\n",
" + Choice_3_5_2 + Choice_3_5_3 + Choice_3_6_1 + Choice_3_6_2 + Choice_3_6_3\n",
" = 1\n",
"\n",
"_C158: Choice_3_4_4 + Choice_3_4_5 + Choice_3_4_6 + Choice_3_5_4\n",
" + Choice_3_5_5 + Choice_3_5_6 + Choice_3_6_4 + Choice_3_6_5 + Choice_3_6_6\n",
" = 1\n",
"\n",
"_C159: Choice_3_4_7 + Choice_3_4_8 + Choice_3_4_9 + Choice_3_5_7\n",
" + Choice_3_5_8 + Choice_3_5_9 + Choice_3_6_7 + Choice_3_6_8 + Choice_3_6_9\n",
" = 1\n",
"\n",
"_C160: Choice_3_7_1 + Choice_3_7_2 + Choice_3_7_3 + Choice_3_8_1\n",
" + Choice_3_8_2 + Choice_3_8_3 + Choice_3_9_1 + Choice_3_9_2 + Choice_3_9_3\n",
" = 1\n",
"\n",
"_C161: Choice_3_7_4 + Choice_3_7_5 + Choice_3_7_6 + Choice_3_8_4\n",
" + Choice_3_8_5 + Choice_3_8_6 + Choice_3_9_4 + Choice_3_9_5 + Choice_3_9_6\n",
" = 1\n",
"\n",
"_C162: Choice_3_7_7 + Choice_3_7_8 + Choice_3_7_9 + Choice_3_8_7\n",
" + Choice_3_8_8 + Choice_3_8_9 + Choice_3_9_7 + Choice_3_9_8 + Choice_3_9_9\n",
" = 1\n",
"\n",
"_C163: Choice_4_1_1 + Choice_4_1_2 + Choice_4_1_3 + Choice_4_1_4\n",
" + Choice_4_1_5 + Choice_4_1_6 + Choice_4_1_7 + Choice_4_1_8 + Choice_4_1_9\n",
" = 1\n",
"\n",
"_C164: Choice_4_2_1 + Choice_4_2_2 + Choice_4_2_3 + Choice_4_2_4\n",
" + Choice_4_2_5 + Choice_4_2_6 + Choice_4_2_7 + Choice_4_2_8 + Choice_4_2_9\n",
" = 1\n",
"\n",
"_C165: Choice_4_3_1 + Choice_4_3_2 + Choice_4_3_3 + Choice_4_3_4\n",
" + Choice_4_3_5 + Choice_4_3_6 + Choice_4_3_7 + Choice_4_3_8 + Choice_4_3_9\n",
" = 1\n",
"\n",
"_C166: Choice_4_4_1 + Choice_4_4_2 + Choice_4_4_3 + Choice_4_4_4\n",
" + Choice_4_4_5 + Choice_4_4_6 + Choice_4_4_7 + Choice_4_4_8 + Choice_4_4_9\n",
" = 1\n",
"\n",
"_C167: Choice_4_5_1 + Choice_4_5_2 + Choice_4_5_3 + Choice_4_5_4\n",
" + Choice_4_5_5 + Choice_4_5_6 + Choice_4_5_7 + Choice_4_5_8 + Choice_4_5_9\n",
" = 1\n",
"\n",
"_C168: Choice_4_6_1 + Choice_4_6_2 + Choice_4_6_3 + Choice_4_6_4\n",
" + Choice_4_6_5 + Choice_4_6_6 + Choice_4_6_7 + Choice_4_6_8 + Choice_4_6_9\n",
" = 1\n",
"\n",
"_C169: Choice_4_7_1 + Choice_4_7_2 + Choice_4_7_3 + Choice_4_7_4\n",
" + Choice_4_7_5 + Choice_4_7_6 + Choice_4_7_7 + Choice_4_7_8 + Choice_4_7_9\n",
" = 1\n",
"\n",
"_C170: Choice_4_8_1 + Choice_4_8_2 + Choice_4_8_3 + Choice_4_8_4\n",
" + Choice_4_8_5 + Choice_4_8_6 + Choice_4_8_7 + Choice_4_8_8 + Choice_4_8_9\n",
" = 1\n",
"\n",
"_C171: Choice_4_9_1 + Choice_4_9_2 + Choice_4_9_3 + Choice_4_9_4\n",
" + Choice_4_9_5 + Choice_4_9_6 + Choice_4_9_7 + Choice_4_9_8 + Choice_4_9_9\n",
" = 1\n",
"\n",
"_C172: Choice_4_1_1 + Choice_4_2_1 + Choice_4_3_1 + Choice_4_4_1\n",
" + Choice_4_5_1 + Choice_4_6_1 + Choice_4_7_1 + Choice_4_8_1 + Choice_4_9_1\n",
" = 1\n",
"\n",
"_C173: Choice_4_1_2 + Choice_4_2_2 + Choice_4_3_2 + Choice_4_4_2\n",
" + Choice_4_5_2 + Choice_4_6_2 + Choice_4_7_2 + Choice_4_8_2 + Choice_4_9_2\n",
" = 1\n",
"\n",
"_C174: Choice_4_1_3 + Choice_4_2_3 + Choice_4_3_3 + Choice_4_4_3\n",
" + Choice_4_5_3 + Choice_4_6_3 + Choice_4_7_3 + Choice_4_8_3 + Choice_4_9_3\n",
" = 1\n",
"\n",
"_C175: Choice_4_1_4 + Choice_4_2_4 + Choice_4_3_4 + Choice_4_4_4\n",
" + Choice_4_5_4 + Choice_4_6_4 + Choice_4_7_4 + Choice_4_8_4 + Choice_4_9_4\n",
" = 1\n",
"\n",
"_C176: Choice_4_1_5 + Choice_4_2_5 + Choice_4_3_5 + Choice_4_4_5\n",
" + Choice_4_5_5 + Choice_4_6_5 + Choice_4_7_5 + Choice_4_8_5 + Choice_4_9_5\n",
" = 1\n",
"\n",
"_C177: Choice_4_1_6 + Choice_4_2_6 + Choice_4_3_6 + Choice_4_4_6\n",
" + Choice_4_5_6 + Choice_4_6_6 + Choice_4_7_6 + Choice_4_8_6 + Choice_4_9_6\n",
" = 1\n",
"\n",
"_C178: Choice_4_1_7 + Choice_4_2_7 + Choice_4_3_7 + Choice_4_4_7\n",
" + Choice_4_5_7 + Choice_4_6_7 + Choice_4_7_7 + Choice_4_8_7 + Choice_4_9_7\n",
" = 1\n",
"\n",
"_C179: Choice_4_1_8 + Choice_4_2_8 + Choice_4_3_8 + Choice_4_4_8\n",
" + Choice_4_5_8 + Choice_4_6_8 + Choice_4_7_8 + Choice_4_8_8 + Choice_4_9_8\n",
" = 1\n",
"\n",
"_C180: Choice_4_1_9 + Choice_4_2_9 + Choice_4_3_9 + Choice_4_4_9\n",
" + Choice_4_5_9 + Choice_4_6_9 + Choice_4_7_9 + Choice_4_8_9 + Choice_4_9_9\n",
" = 1\n",
"\n",
"_C181: Choice_4_1_1 + Choice_4_1_2 + Choice_4_1_3 + Choice_4_2_1\n",
" + Choice_4_2_2 + Choice_4_2_3 + Choice_4_3_1 + Choice_4_3_2 + Choice_4_3_3\n",
" = 1\n",
"\n",
"_C182: Choice_4_1_4 + Choice_4_1_5 + Choice_4_1_6 + Choice_4_2_4\n",
" + Choice_4_2_5 + Choice_4_2_6 + Choice_4_3_4 + Choice_4_3_5 + Choice_4_3_6\n",
" = 1\n",
"\n",
"_C183: Choice_4_1_7 + Choice_4_1_8 + Choice_4_1_9 + Choice_4_2_7\n",
" + Choice_4_2_8 + Choice_4_2_9 + Choice_4_3_7 + Choice_4_3_8 + Choice_4_3_9\n",
" = 1\n",
"\n",
"_C184: Choice_4_4_1 + Choice_4_4_2 + Choice_4_4_3 + Choice_4_5_1\n",
" + Choice_4_5_2 + Choice_4_5_3 + Choice_4_6_1 + Choice_4_6_2 + Choice_4_6_3\n",
" = 1\n",
"\n",
"_C185: Choice_4_4_4 + Choice_4_4_5 + Choice_4_4_6 + Choice_4_5_4\n",
" + Choice_4_5_5 + Choice_4_5_6 + Choice_4_6_4 + Choice_4_6_5 + Choice_4_6_6\n",
" = 1\n",
"\n",
"_C186: Choice_4_4_7 + Choice_4_4_8 + Choice_4_4_9 + Choice_4_5_7\n",
" + Choice_4_5_8 + Choice_4_5_9 + Choice_4_6_7 + Choice_4_6_8 + Choice_4_6_9\n",
" = 1\n",
"\n",
"_C187: Choice_4_7_1 + Choice_4_7_2 + Choice_4_7_3 + Choice_4_8_1\n",
" + Choice_4_8_2 + Choice_4_8_3 + Choice_4_9_1 + Choice_4_9_2 + Choice_4_9_3\n",
" = 1\n",
"\n",
"_C188: Choice_4_7_4 + Choice_4_7_5 + Choice_4_7_6 + Choice_4_8_4\n",
" + Choice_4_8_5 + Choice_4_8_6 + Choice_4_9_4 + Choice_4_9_5 + Choice_4_9_6\n",
" = 1\n",
"\n",
"_C189: Choice_4_7_7 + Choice_4_7_8 + Choice_4_7_9 + Choice_4_8_7\n",
" + Choice_4_8_8 + Choice_4_8_9 + Choice_4_9_7 + Choice_4_9_8 + Choice_4_9_9\n",
" = 1\n",
"\n",
"_C190: Choice_5_1_1 + Choice_5_1_2 + Choice_5_1_3 + Choice_5_1_4\n",
" + Choice_5_1_5 + Choice_5_1_6 + Choice_5_1_7 + Choice_5_1_8 + Choice_5_1_9\n",
" = 1\n",
"\n",
"_C191: Choice_5_2_1 + Choice_5_2_2 + Choice_5_2_3 + Choice_5_2_4\n",
" + Choice_5_2_5 + Choice_5_2_6 + Choice_5_2_7 + Choice_5_2_8 + Choice_5_2_9\n",
" = 1\n",
"\n",
"_C192: Choice_5_3_1 + Choice_5_3_2 + Choice_5_3_3 + Choice_5_3_4\n",
" + Choice_5_3_5 + Choice_5_3_6 + Choice_5_3_7 + Choice_5_3_8 + Choice_5_3_9\n",
" = 1\n",
"\n",
"_C193: Choice_5_4_1 + Choice_5_4_2 + Choice_5_4_3 + Choice_5_4_4\n",
" + Choice_5_4_5 + Choice_5_4_6 + Choice_5_4_7 + Choice_5_4_8 + Choice_5_4_9\n",
" = 1\n",
"\n",
"_C194: Choice_5_5_1 + Choice_5_5_2 + Choice_5_5_3 + Choice_5_5_4\n",
" + Choice_5_5_5 + Choice_5_5_6 + Choice_5_5_7 + Choice_5_5_8 + Choice_5_5_9\n",
" = 1\n",
"\n",
"_C195: Choice_5_6_1 + Choice_5_6_2 + Choice_5_6_3 + Choice_5_6_4\n",
" + Choice_5_6_5 + Choice_5_6_6 + Choice_5_6_7 + Choice_5_6_8 + Choice_5_6_9\n",
" = 1\n",
"\n",
"_C196: Choice_5_7_1 + Choice_5_7_2 + Choice_5_7_3 + Choice_5_7_4\n",
" + Choice_5_7_5 + Choice_5_7_6 + Choice_5_7_7 + Choice_5_7_8 + Choice_5_7_9\n",
" = 1\n",
"\n",
"_C197: Choice_5_8_1 + Choice_5_8_2 + Choice_5_8_3 + Choice_5_8_4\n",
" + Choice_5_8_5 + Choice_5_8_6 + Choice_5_8_7 + Choice_5_8_8 + Choice_5_8_9\n",
" = 1\n",
"\n",
"_C198: Choice_5_9_1 + Choice_5_9_2 + Choice_5_9_3 + Choice_5_9_4\n",
" + Choice_5_9_5 + Choice_5_9_6 + Choice_5_9_7 + Choice_5_9_8 + Choice_5_9_9\n",
" = 1\n",
"\n",
"_C199: Choice_5_1_1 + Choice_5_2_1 + Choice_5_3_1 + Choice_5_4_1\n",
" + Choice_5_5_1 + Choice_5_6_1 + Choice_5_7_1 + Choice_5_8_1 + Choice_5_9_1\n",
" = 1\n",
"\n",
"_C200: Choice_5_1_2 + Choice_5_2_2 + Choice_5_3_2 + Choice_5_4_2\n",
" + Choice_5_5_2 + Choice_5_6_2 + Choice_5_7_2 + Choice_5_8_2 + Choice_5_9_2\n",
" = 1\n",
"\n",
"_C201: Choice_5_1_3 + Choice_5_2_3 + Choice_5_3_3 + Choice_5_4_3\n",
" + Choice_5_5_3 + Choice_5_6_3 + Choice_5_7_3 + Choice_5_8_3 + Choice_5_9_3\n",
" = 1\n",
"\n",
"_C202: Choice_5_1_4 + Choice_5_2_4 + Choice_5_3_4 + Choice_5_4_4\n",
" + Choice_5_5_4 + Choice_5_6_4 + Choice_5_7_4 + Choice_5_8_4 + Choice_5_9_4\n",
" = 1\n",
"\n",
"_C203: Choice_5_1_5 + Choice_5_2_5 + Choice_5_3_5 + Choice_5_4_5\n",
" + Choice_5_5_5 + Choice_5_6_5 + Choice_5_7_5 + Choice_5_8_5 + Choice_5_9_5\n",
" = 1\n",
"\n",
"_C204: Choice_5_1_6 + Choice_5_2_6 + Choice_5_3_6 + Choice_5_4_6\n",
" + Choice_5_5_6 + Choice_5_6_6 + Choice_5_7_6 + Choice_5_8_6 + Choice_5_9_6\n",
" = 1\n",
"\n",
"_C205: Choice_5_1_7 + Choice_5_2_7 + Choice_5_3_7 + Choice_5_4_7\n",
" + Choice_5_5_7 + Choice_5_6_7 + Choice_5_7_7 + Choice_5_8_7 + Choice_5_9_7\n",
" = 1\n",
"\n",
"_C206: Choice_5_1_8 + Choice_5_2_8 + Choice_5_3_8 + Choice_5_4_8\n",
" + Choice_5_5_8 + Choice_5_6_8 + Choice_5_7_8 + Choice_5_8_8 + Choice_5_9_8\n",
" = 1\n",
"\n",
"_C207: Choice_5_1_9 + Choice_5_2_9 + Choice_5_3_9 + Choice_5_4_9\n",
" + Choice_5_5_9 + Choice_5_6_9 + Choice_5_7_9 + Choice_5_8_9 + Choice_5_9_9\n",
" = 1\n",
"\n",
"_C208: Choice_5_1_1 + Choice_5_1_2 + Choice_5_1_3 + Choice_5_2_1\n",
" + Choice_5_2_2 + Choice_5_2_3 + Choice_5_3_1 + Choice_5_3_2 + Choice_5_3_3\n",
" = 1\n",
"\n",
"_C209: Choice_5_1_4 + Choice_5_1_5 + Choice_5_1_6 + Choice_5_2_4\n",
" + Choice_5_2_5 + Choice_5_2_6 + Choice_5_3_4 + Choice_5_3_5 + Choice_5_3_6\n",
" = 1\n",
"\n",
"_C210: Choice_5_1_7 + Choice_5_1_8 + Choice_5_1_9 + Choice_5_2_7\n",
" + Choice_5_2_8 + Choice_5_2_9 + Choice_5_3_7 + Choice_5_3_8 + Choice_5_3_9\n",
" = 1\n",
"\n",
"_C211: Choice_5_4_1 + Choice_5_4_2 + Choice_5_4_3 + Choice_5_5_1\n",
" + Choice_5_5_2 + Choice_5_5_3 + Choice_5_6_1 + Choice_5_6_2 + Choice_5_6_3\n",
" = 1\n",
"\n",
"_C212: Choice_5_4_4 + Choice_5_4_5 + Choice_5_4_6 + Choice_5_5_4\n",
" + Choice_5_5_5 + Choice_5_5_6 + Choice_5_6_4 + Choice_5_6_5 + Choice_5_6_6\n",
" = 1\n",
"\n",
"_C213: Choice_5_4_7 + Choice_5_4_8 + Choice_5_4_9 + Choice_5_5_7\n",
" + Choice_5_5_8 + Choice_5_5_9 + Choice_5_6_7 + Choice_5_6_8 + Choice_5_6_9\n",
" = 1\n",
"\n",
"_C214: Choice_5_7_1 + Choice_5_7_2 + Choice_5_7_3 + Choice_5_8_1\n",
" + Choice_5_8_2 + Choice_5_8_3 + Choice_5_9_1 + Choice_5_9_2 + Choice_5_9_3\n",
" = 1\n",
"\n",
"_C215: Choice_5_7_4 + Choice_5_7_5 + Choice_5_7_6 + Choice_5_8_4\n",
" + Choice_5_8_5 + Choice_5_8_6 + Choice_5_9_4 + Choice_5_9_5 + Choice_5_9_6\n",
" = 1\n",
"\n",
"_C216: Choice_5_7_7 + Choice_5_7_8 + Choice_5_7_9 + Choice_5_8_7\n",
" + Choice_5_8_8 + Choice_5_8_9 + Choice_5_9_7 + Choice_5_9_8 + Choice_5_9_9\n",
" = 1\n",
"\n",
"_C217: Choice_6_1_1 + Choice_6_1_2 + Choice_6_1_3 + Choice_6_1_4\n",
" + Choice_6_1_5 + Choice_6_1_6 + Choice_6_1_7 + Choice_6_1_8 + Choice_6_1_9\n",
" = 1\n",
"\n",
"_C218: Choice_6_2_1 + Choice_6_2_2 + Choice_6_2_3 + Choice_6_2_4\n",
" + Choice_6_2_5 + Choice_6_2_6 + Choice_6_2_7 + Choice_6_2_8 + Choice_6_2_9\n",
" = 1\n",
"\n",
"_C219: Choice_6_3_1 + Choice_6_3_2 + Choice_6_3_3 + Choice_6_3_4\n",
" + Choice_6_3_5 + Choice_6_3_6 + Choice_6_3_7 + Choice_6_3_8 + Choice_6_3_9\n",
" = 1\n",
"\n",
"_C220: Choice_6_4_1 + Choice_6_4_2 + Choice_6_4_3 + Choice_6_4_4\n",
" + Choice_6_4_5 + Choice_6_4_6 + Choice_6_4_7 + Choice_6_4_8 + Choice_6_4_9\n",
" = 1\n",
"\n",
"_C221: Choice_6_5_1 + Choice_6_5_2 + Choice_6_5_3 + Choice_6_5_4\n",
" + Choice_6_5_5 + Choice_6_5_6 + Choice_6_5_7 + Choice_6_5_8 + Choice_6_5_9\n",
" = 1\n",
"\n",
"_C222: Choice_6_6_1 + Choice_6_6_2 + Choice_6_6_3 + Choice_6_6_4\n",
" + Choice_6_6_5 + Choice_6_6_6 + Choice_6_6_7 + Choice_6_6_8 + Choice_6_6_9\n",
" = 1\n",
"\n",
"_C223: Choice_6_7_1 + Choice_6_7_2 + Choice_6_7_3 + Choice_6_7_4\n",
" + Choice_6_7_5 + Choice_6_7_6 + Choice_6_7_7 + Choice_6_7_8 + Choice_6_7_9\n",
" = 1\n",
"\n",
"_C224: Choice_6_8_1 + Choice_6_8_2 + Choice_6_8_3 + Choice_6_8_4\n",
" + Choice_6_8_5 + Choice_6_8_6 + Choice_6_8_7 + Choice_6_8_8 + Choice_6_8_9\n",
" = 1\n",
"\n",
"_C225: Choice_6_9_1 + Choice_6_9_2 + Choice_6_9_3 + Choice_6_9_4\n",
" + Choice_6_9_5 + Choice_6_9_6 + Choice_6_9_7 + Choice_6_9_8 + Choice_6_9_9\n",
" = 1\n",
"\n",
"_C226: Choice_6_1_1 + Choice_6_2_1 + Choice_6_3_1 + Choice_6_4_1\n",
" + Choice_6_5_1 + Choice_6_6_1 + Choice_6_7_1 + Choice_6_8_1 + Choice_6_9_1\n",
" = 1\n",
"\n",
"_C227: Choice_6_1_2 + Choice_6_2_2 + Choice_6_3_2 + Choice_6_4_2\n",
" + Choice_6_5_2 + Choice_6_6_2 + Choice_6_7_2 + Choice_6_8_2 + Choice_6_9_2\n",
" = 1\n",
"\n",
"_C228: Choice_6_1_3 + Choice_6_2_3 + Choice_6_3_3 + Choice_6_4_3\n",
" + Choice_6_5_3 + Choice_6_6_3 + Choice_6_7_3 + Choice_6_8_3 + Choice_6_9_3\n",
" = 1\n",
"\n",
"_C229: Choice_6_1_4 + Choice_6_2_4 + Choice_6_3_4 + Choice_6_4_4\n",
" + Choice_6_5_4 + Choice_6_6_4 + Choice_6_7_4 + Choice_6_8_4 + Choice_6_9_4\n",
" = 1\n",
"\n",
"_C230: Choice_6_1_5 + Choice_6_2_5 + Choice_6_3_5 + Choice_6_4_5\n",
" + Choice_6_5_5 + Choice_6_6_5 + Choice_6_7_5 + Choice_6_8_5 + Choice_6_9_5\n",
" = 1\n",
"\n",
"_C231: Choice_6_1_6 + Choice_6_2_6 + Choice_6_3_6 + Choice_6_4_6\n",
" + Choice_6_5_6 + Choice_6_6_6 + Choice_6_7_6 + Choice_6_8_6 + Choice_6_9_6\n",
" = 1\n",
"\n",
"_C232: Choice_6_1_7 + Choice_6_2_7 + Choice_6_3_7 + Choice_6_4_7\n",
" + Choice_6_5_7 + Choice_6_6_7 + Choice_6_7_7 + Choice_6_8_7 + Choice_6_9_7\n",
" = 1\n",
"\n",
"_C233: Choice_6_1_8 + Choice_6_2_8 + Choice_6_3_8 + Choice_6_4_8\n",
" + Choice_6_5_8 + Choice_6_6_8 + Choice_6_7_8 + Choice_6_8_8 + Choice_6_9_8\n",
" = 1\n",
"\n",
"_C234: Choice_6_1_9 + Choice_6_2_9 + Choice_6_3_9 + Choice_6_4_9\n",
" + Choice_6_5_9 + Choice_6_6_9 + Choice_6_7_9 + Choice_6_8_9 + Choice_6_9_9\n",
" = 1\n",
"\n",
"_C235: Choice_6_1_1 + Choice_6_1_2 + Choice_6_1_3 + Choice_6_2_1\n",
" + Choice_6_2_2 + Choice_6_2_3 + Choice_6_3_1 + Choice_6_3_2 + Choice_6_3_3\n",
" = 1\n",
"\n",
"_C236: Choice_6_1_4 + Choice_6_1_5 + Choice_6_1_6 + Choice_6_2_4\n",
" + Choice_6_2_5 + Choice_6_2_6 + Choice_6_3_4 + Choice_6_3_5 + Choice_6_3_6\n",
" = 1\n",
"\n",
"_C237: Choice_6_1_7 + Choice_6_1_8 + Choice_6_1_9 + Choice_6_2_7\n",
" + Choice_6_2_8 + Choice_6_2_9 + Choice_6_3_7 + Choice_6_3_8 + Choice_6_3_9\n",
" = 1\n",
"\n",
"_C238: Choice_6_4_1 + Choice_6_4_2 + Choice_6_4_3 + Choice_6_5_1\n",
" + Choice_6_5_2 + Choice_6_5_3 + Choice_6_6_1 + Choice_6_6_2 + Choice_6_6_3\n",
" = 1\n",
"\n",
"_C239: Choice_6_4_4 + Choice_6_4_5 + Choice_6_4_6 + Choice_6_5_4\n",
" + Choice_6_5_5 + Choice_6_5_6 + Choice_6_6_4 + Choice_6_6_5 + Choice_6_6_6\n",
" = 1\n",
"\n",
"_C240: Choice_6_4_7 + Choice_6_4_8 + Choice_6_4_9 + Choice_6_5_7\n",
" + Choice_6_5_8 + Choice_6_5_9 + Choice_6_6_7 + Choice_6_6_8 + Choice_6_6_9\n",
" = 1\n",
"\n",
"_C241: Choice_6_7_1 + Choice_6_7_2 + Choice_6_7_3 + Choice_6_8_1\n",
" + Choice_6_8_2 + Choice_6_8_3 + Choice_6_9_1 + Choice_6_9_2 + Choice_6_9_3\n",
" = 1\n",
"\n",
"_C242: Choice_6_7_4 + Choice_6_7_5 + Choice_6_7_6 + Choice_6_8_4\n",
" + Choice_6_8_5 + Choice_6_8_6 + Choice_6_9_4 + Choice_6_9_5 + Choice_6_9_6\n",
" = 1\n",
"\n",
"_C243: Choice_6_7_7 + Choice_6_7_8 + Choice_6_7_9 + Choice_6_8_7\n",
" + Choice_6_8_8 + Choice_6_8_9 + Choice_6_9_7 + Choice_6_9_8 + Choice_6_9_9\n",
" = 1\n",
"\n",
"_C244: Choice_7_1_1 + Choice_7_1_2 + Choice_7_1_3 + Choice_7_1_4\n",
" + Choice_7_1_5 + Choice_7_1_6 + Choice_7_1_7 + Choice_7_1_8 + Choice_7_1_9\n",
" = 1\n",
"\n",
"_C245: Choice_7_2_1 + Choice_7_2_2 + Choice_7_2_3 + Choice_7_2_4\n",
" + Choice_7_2_5 + Choice_7_2_6 + Choice_7_2_7 + Choice_7_2_8 + Choice_7_2_9\n",
" = 1\n",
"\n",
"_C246: Choice_7_3_1 + Choice_7_3_2 + Choice_7_3_3 + Choice_7_3_4\n",
" + Choice_7_3_5 + Choice_7_3_6 + Choice_7_3_7 + Choice_7_3_8 + Choice_7_3_9\n",
" = 1\n",
"\n",
"_C247: Choice_7_4_1 + Choice_7_4_2 + Choice_7_4_3 + Choice_7_4_4\n",
" + Choice_7_4_5 + Choice_7_4_6 + Choice_7_4_7 + Choice_7_4_8 + Choice_7_4_9\n",
" = 1\n",
"\n",
"_C248: Choice_7_5_1 + Choice_7_5_2 + Choice_7_5_3 + Choice_7_5_4\n",
" + Choice_7_5_5 + Choice_7_5_6 + Choice_7_5_7 + Choice_7_5_8 + Choice_7_5_9\n",
" = 1\n",
"\n",
"_C249: Choice_7_6_1 + Choice_7_6_2 + Choice_7_6_3 + Choice_7_6_4\n",
" + Choice_7_6_5 + Choice_7_6_6 + Choice_7_6_7 + Choice_7_6_8 + Choice_7_6_9\n",
" = 1\n",
"\n",
"_C250: Choice_7_7_1 + Choice_7_7_2 + Choice_7_7_3 + Choice_7_7_4\n",
" + Choice_7_7_5 + Choice_7_7_6 + Choice_7_7_7 + Choice_7_7_8 + Choice_7_7_9\n",
" = 1\n",
"\n",
"_C251: Choice_7_8_1 + Choice_7_8_2 + Choice_7_8_3 + Choice_7_8_4\n",
" + Choice_7_8_5 + Choice_7_8_6 + Choice_7_8_7 + Choice_7_8_8 + Choice_7_8_9\n",
" = 1\n",
"\n",
"_C252: Choice_7_9_1 + Choice_7_9_2 + Choice_7_9_3 + Choice_7_9_4\n",
" + Choice_7_9_5 + Choice_7_9_6 + Choice_7_9_7 + Choice_7_9_8 + Choice_7_9_9\n",
" = 1\n",
"\n",
"_C253: Choice_7_1_1 + Choice_7_2_1 + Choice_7_3_1 + Choice_7_4_1\n",
" + Choice_7_5_1 + Choice_7_6_1 + Choice_7_7_1 + Choice_7_8_1 + Choice_7_9_1\n",
" = 1\n",
"\n",
"_C254: Choice_7_1_2 + Choice_7_2_2 + Choice_7_3_2 + Choice_7_4_2\n",
" + Choice_7_5_2 + Choice_7_6_2 + Choice_7_7_2 + Choice_7_8_2 + Choice_7_9_2\n",
" = 1\n",
"\n",
"_C255: Choice_7_1_3 + Choice_7_2_3 + Choice_7_3_3 + Choice_7_4_3\n",
" + Choice_7_5_3 + Choice_7_6_3 + Choice_7_7_3 + Choice_7_8_3 + Choice_7_9_3\n",
" = 1\n",
"\n",
"_C256: Choice_7_1_4 + Choice_7_2_4 + Choice_7_3_4 + Choice_7_4_4\n",
" + Choice_7_5_4 + Choice_7_6_4 + Choice_7_7_4 + Choice_7_8_4 + Choice_7_9_4\n",
" = 1\n",
"\n",
"_C257: Choice_7_1_5 + Choice_7_2_5 + Choice_7_3_5 + Choice_7_4_5\n",
" + Choice_7_5_5 + Choice_7_6_5 + Choice_7_7_5 + Choice_7_8_5 + Choice_7_9_5\n",
" = 1\n",
"\n",
"_C258: Choice_7_1_6 + Choice_7_2_6 + Choice_7_3_6 + Choice_7_4_6\n",
" + Choice_7_5_6 + Choice_7_6_6 + Choice_7_7_6 + Choice_7_8_6 + Choice_7_9_6\n",
" = 1\n",
"\n",
"_C259: Choice_7_1_7 + Choice_7_2_7 + Choice_7_3_7 + Choice_7_4_7\n",
" + Choice_7_5_7 + Choice_7_6_7 + Choice_7_7_7 + Choice_7_8_7 + Choice_7_9_7\n",
" = 1\n",
"\n",
"_C260: Choice_7_1_8 + Choice_7_2_8 + Choice_7_3_8 + Choice_7_4_8\n",
" + Choice_7_5_8 + Choice_7_6_8 + Choice_7_7_8 + Choice_7_8_8 + Choice_7_9_8\n",
" = 1\n",
"\n",
"_C261: Choice_7_1_9 + Choice_7_2_9 + Choice_7_3_9 + Choice_7_4_9\n",
" + Choice_7_5_9 + Choice_7_6_9 + Choice_7_7_9 + Choice_7_8_9 + Choice_7_9_9\n",
" = 1\n",
"\n",
"_C262: Choice_7_1_1 + Choice_7_1_2 + Choice_7_1_3 + Choice_7_2_1\n",
" + Choice_7_2_2 + Choice_7_2_3 + Choice_7_3_1 + Choice_7_3_2 + Choice_7_3_3\n",
" = 1\n",
"\n",
"_C263: Choice_7_1_4 + Choice_7_1_5 + Choice_7_1_6 + Choice_7_2_4\n",
" + Choice_7_2_5 + Choice_7_2_6 + Choice_7_3_4 + Choice_7_3_5 + Choice_7_3_6\n",
" = 1\n",
"\n",
"_C264: Choice_7_1_7 + Choice_7_1_8 + Choice_7_1_9 + Choice_7_2_7\n",
" + Choice_7_2_8 + Choice_7_2_9 + Choice_7_3_7 + Choice_7_3_8 + Choice_7_3_9\n",
" = 1\n",
"\n",
"_C265: Choice_7_4_1 + Choice_7_4_2 + Choice_7_4_3 + Choice_7_5_1\n",
" + Choice_7_5_2 + Choice_7_5_3 + Choice_7_6_1 + Choice_7_6_2 + Choice_7_6_3\n",
" = 1\n",
"\n",
"_C266: Choice_7_4_4 + Choice_7_4_5 + Choice_7_4_6 + Choice_7_5_4\n",
" + Choice_7_5_5 + Choice_7_5_6 + Choice_7_6_4 + Choice_7_6_5 + Choice_7_6_6\n",
" = 1\n",
"\n",
"_C267: Choice_7_4_7 + Choice_7_4_8 + Choice_7_4_9 + Choice_7_5_7\n",
" + Choice_7_5_8 + Choice_7_5_9 + Choice_7_6_7 + Choice_7_6_8 + Choice_7_6_9\n",
" = 1\n",
"\n",
"_C268: Choice_7_7_1 + Choice_7_7_2 + Choice_7_7_3 + Choice_7_8_1\n",
" + Choice_7_8_2 + Choice_7_8_3 + Choice_7_9_1 + Choice_7_9_2 + Choice_7_9_3\n",
" = 1\n",
"\n",
"_C269: Choice_7_7_4 + Choice_7_7_5 + Choice_7_7_6 + Choice_7_8_4\n",
" + Choice_7_8_5 + Choice_7_8_6 + Choice_7_9_4 + Choice_7_9_5 + Choice_7_9_6\n",
" = 1\n",
"\n",
"_C270: Choice_7_7_7 + Choice_7_7_8 + Choice_7_7_9 + Choice_7_8_7\n",
" + Choice_7_8_8 + Choice_7_8_9 + Choice_7_9_7 + Choice_7_9_8 + Choice_7_9_9\n",
" = 1\n",
"\n",
"_C271: Choice_8_1_1 + Choice_8_1_2 + Choice_8_1_3 + Choice_8_1_4\n",
" + Choice_8_1_5 + Choice_8_1_6 + Choice_8_1_7 + Choice_8_1_8 + Choice_8_1_9\n",
" = 1\n",
"\n",
"_C272: Choice_8_2_1 + Choice_8_2_2 + Choice_8_2_3 + Choice_8_2_4\n",
" + Choice_8_2_5 + Choice_8_2_6 + Choice_8_2_7 + Choice_8_2_8 + Choice_8_2_9\n",
" = 1\n",
"\n",
"_C273: Choice_8_3_1 + Choice_8_3_2 + Choice_8_3_3 + Choice_8_3_4\n",
" + Choice_8_3_5 + Choice_8_3_6 + Choice_8_3_7 + Choice_8_3_8 + Choice_8_3_9\n",
" = 1\n",
"\n",
"_C274: Choice_8_4_1 + Choice_8_4_2 + Choice_8_4_3 + Choice_8_4_4\n",
" + Choice_8_4_5 + Choice_8_4_6 + Choice_8_4_7 + Choice_8_4_8 + Choice_8_4_9\n",
" = 1\n",
"\n",
"_C275: Choice_8_5_1 + Choice_8_5_2 + Choice_8_5_3 + Choice_8_5_4\n",
" + Choice_8_5_5 + Choice_8_5_6 + Choice_8_5_7 + Choice_8_5_8 + Choice_8_5_9\n",
" = 1\n",
"\n",
"_C276: Choice_8_6_1 + Choice_8_6_2 + Choice_8_6_3 + Choice_8_6_4\n",
" + Choice_8_6_5 + Choice_8_6_6 + Choice_8_6_7 + Choice_8_6_8 + Choice_8_6_9\n",
" = 1\n",
"\n",
"_C277: Choice_8_7_1 + Choice_8_7_2 + Choice_8_7_3 + Choice_8_7_4\n",
" + Choice_8_7_5 + Choice_8_7_6 + Choice_8_7_7 + Choice_8_7_8 + Choice_8_7_9\n",
" = 1\n",
"\n",
"_C278: Choice_8_8_1 + Choice_8_8_2 + Choice_8_8_3 + Choice_8_8_4\n",
" + Choice_8_8_5 + Choice_8_8_6 + Choice_8_8_7 + Choice_8_8_8 + Choice_8_8_9\n",
" = 1\n",
"\n",
"_C279: Choice_8_9_1 + Choice_8_9_2 + Choice_8_9_3 + Choice_8_9_4\n",
" + Choice_8_9_5 + Choice_8_9_6 + Choice_8_9_7 + Choice_8_9_8 + Choice_8_9_9\n",
" = 1\n",
"\n",
"_C280: Choice_8_1_1 + Choice_8_2_1 + Choice_8_3_1 + Choice_8_4_1\n",
" + Choice_8_5_1 + Choice_8_6_1 + Choice_8_7_1 + Choice_8_8_1 + Choice_8_9_1\n",
" = 1\n",
"\n",
"_C281: Choice_8_1_2 + Choice_8_2_2 + Choice_8_3_2 + Choice_8_4_2\n",
" + Choice_8_5_2 + Choice_8_6_2 + Choice_8_7_2 + Choice_8_8_2 + Choice_8_9_2\n",
" = 1\n",
"\n",
"_C282: Choice_8_1_3 + Choice_8_2_3 + Choice_8_3_3 + Choice_8_4_3\n",
" + Choice_8_5_3 + Choice_8_6_3 + Choice_8_7_3 + Choice_8_8_3 + Choice_8_9_3\n",
" = 1\n",
"\n",
"_C283: Choice_8_1_4 + Choice_8_2_4 + Choice_8_3_4 + Choice_8_4_4\n",
" + Choice_8_5_4 + Choice_8_6_4 + Choice_8_7_4 + Choice_8_8_4 + Choice_8_9_4\n",
" = 1\n",
"\n",
"_C284: Choice_8_1_5 + Choice_8_2_5 + Choice_8_3_5 + Choice_8_4_5\n",
" + Choice_8_5_5 + Choice_8_6_5 + Choice_8_7_5 + Choice_8_8_5 + Choice_8_9_5\n",
" = 1\n",
"\n",
"_C285: Choice_8_1_6 + Choice_8_2_6 + Choice_8_3_6 + Choice_8_4_6\n",
" + Choice_8_5_6 + Choice_8_6_6 + Choice_8_7_6 + Choice_8_8_6 + Choice_8_9_6\n",
" = 1\n",
"\n",
"_C286: Choice_8_1_7 + Choice_8_2_7 + Choice_8_3_7 + Choice_8_4_7\n",
" + Choice_8_5_7 + Choice_8_6_7 + Choice_8_7_7 + Choice_8_8_7 + Choice_8_9_7\n",
" = 1\n",
"\n",
"_C287: Choice_8_1_8 + Choice_8_2_8 + Choice_8_3_8 + Choice_8_4_8\n",
" + Choice_8_5_8 + Choice_8_6_8 + Choice_8_7_8 + Choice_8_8_8 + Choice_8_9_8\n",
" = 1\n",
"\n",
"_C288: Choice_8_1_9 + Choice_8_2_9 + Choice_8_3_9 + Choice_8_4_9\n",
" + Choice_8_5_9 + Choice_8_6_9 + Choice_8_7_9 + Choice_8_8_9 + Choice_8_9_9\n",
" = 1\n",
"\n",
"_C289: Choice_8_1_1 + Choice_8_1_2 + Choice_8_1_3 + Choice_8_2_1\n",
" + Choice_8_2_2 + Choice_8_2_3 + Choice_8_3_1 + Choice_8_3_2 + Choice_8_3_3\n",
" = 1\n",
"\n",
"_C290: Choice_8_1_4 + Choice_8_1_5 + Choice_8_1_6 + Choice_8_2_4\n",
" + Choice_8_2_5 + Choice_8_2_6 + Choice_8_3_4 + Choice_8_3_5 + Choice_8_3_6\n",
" = 1\n",
"\n",
"_C291: Choice_8_1_7 + Choice_8_1_8 + Choice_8_1_9 + Choice_8_2_7\n",
" + Choice_8_2_8 + Choice_8_2_9 + Choice_8_3_7 + Choice_8_3_8 + Choice_8_3_9\n",
" = 1\n",
"\n",
"_C292: Choice_8_4_1 + Choice_8_4_2 + Choice_8_4_3 + Choice_8_5_1\n",
" + Choice_8_5_2 + Choice_8_5_3 + Choice_8_6_1 + Choice_8_6_2 + Choice_8_6_3\n",
" = 1\n",
"\n",
"_C293: Choice_8_4_4 + Choice_8_4_5 + Choice_8_4_6 + Choice_8_5_4\n",
" + Choice_8_5_5 + Choice_8_5_6 + Choice_8_6_4 + Choice_8_6_5 + Choice_8_6_6\n",
" = 1\n",
"\n",
"_C294: Choice_8_4_7 + Choice_8_4_8 + Choice_8_4_9 + Choice_8_5_7\n",
" + Choice_8_5_8 + Choice_8_5_9 + Choice_8_6_7 + Choice_8_6_8 + Choice_8_6_9\n",
" = 1\n",
"\n",
"_C295: Choice_8_7_1 + Choice_8_7_2 + Choice_8_7_3 + Choice_8_8_1\n",
" + Choice_8_8_2 + Choice_8_8_3 + Choice_8_9_1 + Choice_8_9_2 + Choice_8_9_3\n",
" = 1\n",
"\n",
"_C296: Choice_8_7_4 + Choice_8_7_5 + Choice_8_7_6 + Choice_8_8_4\n",
" + Choice_8_8_5 + Choice_8_8_6 + Choice_8_9_4 + Choice_8_9_5 + Choice_8_9_6\n",
" = 1\n",
"\n",
"_C297: Choice_8_7_7 + Choice_8_7_8 + Choice_8_7_9 + Choice_8_8_7\n",
" + Choice_8_8_8 + Choice_8_8_9 + Choice_8_9_7 + Choice_8_9_8 + Choice_8_9_9\n",
" = 1\n",
"\n",
"_C298: Choice_9_1_1 + Choice_9_1_2 + Choice_9_1_3 + Choice_9_1_4\n",
" + Choice_9_1_5 + Choice_9_1_6 + Choice_9_1_7 + Choice_9_1_8 + Choice_9_1_9\n",
" = 1\n",
"\n",
"_C299: Choice_9_2_1 + Choice_9_2_2 + Choice_9_2_3 + Choice_9_2_4\n",
" + Choice_9_2_5 + Choice_9_2_6 + Choice_9_2_7 + Choice_9_2_8 + Choice_9_2_9\n",
" = 1\n",
"\n",
"_C300: Choice_9_3_1 + Choice_9_3_2 + Choice_9_3_3 + Choice_9_3_4\n",
" + Choice_9_3_5 + Choice_9_3_6 + Choice_9_3_7 + Choice_9_3_8 + Choice_9_3_9\n",
" = 1\n",
"\n",
"_C301: Choice_9_4_1 + Choice_9_4_2 + Choice_9_4_3 + Choice_9_4_4\n",
" + Choice_9_4_5 + Choice_9_4_6 + Choice_9_4_7 + Choice_9_4_8 + Choice_9_4_9\n",
" = 1\n",
"\n",
"_C302: Choice_9_5_1 + Choice_9_5_2 + Choice_9_5_3 + Choice_9_5_4\n",
" + Choice_9_5_5 + Choice_9_5_6 + Choice_9_5_7 + Choice_9_5_8 + Choice_9_5_9\n",
" = 1\n",
"\n",
"_C303: Choice_9_6_1 + Choice_9_6_2 + Choice_9_6_3 + Choice_9_6_4\n",
" + Choice_9_6_5 + Choice_9_6_6 + Choice_9_6_7 + Choice_9_6_8 + Choice_9_6_9\n",
" = 1\n",
"\n",
"_C304: Choice_9_7_1 + Choice_9_7_2 + Choice_9_7_3 + Choice_9_7_4\n",
" + Choice_9_7_5 + Choice_9_7_6 + Choice_9_7_7 + Choice_9_7_8 + Choice_9_7_9\n",
" = 1\n",
"\n",
"_C305: Choice_9_8_1 + Choice_9_8_2 + Choice_9_8_3 + Choice_9_8_4\n",
" + Choice_9_8_5 + Choice_9_8_6 + Choice_9_8_7 + Choice_9_8_8 + Choice_9_8_9\n",
" = 1\n",
"\n",
"_C306: Choice_9_9_1 + Choice_9_9_2 + Choice_9_9_3 + Choice_9_9_4\n",
" + Choice_9_9_5 + Choice_9_9_6 + Choice_9_9_7 + Choice_9_9_8 + Choice_9_9_9\n",
" = 1\n",
"\n",
"_C307: Choice_9_1_1 + Choice_9_2_1 + Choice_9_3_1 + Choice_9_4_1\n",
" + Choice_9_5_1 + Choice_9_6_1 + Choice_9_7_1 + Choice_9_8_1 + Choice_9_9_1\n",
" = 1\n",
"\n",
"_C308: Choice_9_1_2 + Choice_9_2_2 + Choice_9_3_2 + Choice_9_4_2\n",
" + Choice_9_5_2 + Choice_9_6_2 + Choice_9_7_2 + Choice_9_8_2 + Choice_9_9_2\n",
" = 1\n",
"\n",
"_C309: Choice_9_1_3 + Choice_9_2_3 + Choice_9_3_3 + Choice_9_4_3\n",
" + Choice_9_5_3 + Choice_9_6_3 + Choice_9_7_3 + Choice_9_8_3 + Choice_9_9_3\n",
" = 1\n",
"\n",
"_C310: Choice_9_1_4 + Choice_9_2_4 + Choice_9_3_4 + Choice_9_4_4\n",
" + Choice_9_5_4 + Choice_9_6_4 + Choice_9_7_4 + Choice_9_8_4 + Choice_9_9_4\n",
" = 1\n",
"\n",
"_C311: Choice_9_1_5 + Choice_9_2_5 + Choice_9_3_5 + Choice_9_4_5\n",
" + Choice_9_5_5 + Choice_9_6_5 + Choice_9_7_5 + Choice_9_8_5 + Choice_9_9_5\n",
" = 1\n",
"\n",
"_C312: Choice_9_1_6 + Choice_9_2_6 + Choice_9_3_6 + Choice_9_4_6\n",
" + Choice_9_5_6 + Choice_9_6_6 + Choice_9_7_6 + Choice_9_8_6 + Choice_9_9_6\n",
" = 1\n",
"\n",
"_C313: Choice_9_1_7 + Choice_9_2_7 + Choice_9_3_7 + Choice_9_4_7\n",
" + Choice_9_5_7 + Choice_9_6_7 + Choice_9_7_7 + Choice_9_8_7 + Choice_9_9_7\n",
" = 1\n",
"\n",
"_C314: Choice_9_1_8 + Choice_9_2_8 + Choice_9_3_8 + Choice_9_4_8\n",
" + Choice_9_5_8 + Choice_9_6_8 + Choice_9_7_8 + Choice_9_8_8 + Choice_9_9_8\n",
" = 1\n",
"\n",
"_C315: Choice_9_1_9 + Choice_9_2_9 + Choice_9_3_9 + Choice_9_4_9\n",
" + Choice_9_5_9 + Choice_9_6_9 + Choice_9_7_9 + Choice_9_8_9 + Choice_9_9_9\n",
" = 1\n",
"\n",
"_C316: Choice_9_1_1 + Choice_9_1_2 + Choice_9_1_3 + Choice_9_2_1\n",
" + Choice_9_2_2 + Choice_9_2_3 + Choice_9_3_1 + Choice_9_3_2 + Choice_9_3_3\n",
" = 1\n",
"\n",
"_C317: Choice_9_1_4 + Choice_9_1_5 + Choice_9_1_6 + Choice_9_2_4\n",
" + Choice_9_2_5 + Choice_9_2_6 + Choice_9_3_4 + Choice_9_3_5 + Choice_9_3_6\n",
" = 1\n",
"\n",
"_C318: Choice_9_1_7 + Choice_9_1_8 + Choice_9_1_9 + Choice_9_2_7\n",
" + Choice_9_2_8 + Choice_9_2_9 + Choice_9_3_7 + Choice_9_3_8 + Choice_9_3_9\n",
" = 1\n",
"\n",
"_C319: Choice_9_4_1 + Choice_9_4_2 + Choice_9_4_3 + Choice_9_5_1\n",
" + Choice_9_5_2 + Choice_9_5_3 + Choice_9_6_1 + Choice_9_6_2 + Choice_9_6_3\n",
" = 1\n",
"\n",
"_C320: Choice_9_4_4 + Choice_9_4_5 + Choice_9_4_6 + Choice_9_5_4\n",
" + Choice_9_5_5 + Choice_9_5_6 + Choice_9_6_4 + Choice_9_6_5 + Choice_9_6_6\n",
" = 1\n",
"\n",
"_C321: Choice_9_4_7 + Choice_9_4_8 + Choice_9_4_9 + Choice_9_5_7\n",
" + Choice_9_5_8 + Choice_9_5_9 + Choice_9_6_7 + Choice_9_6_8 + Choice_9_6_9\n",
" = 1\n",
"\n",
"_C322: Choice_9_7_1 + Choice_9_7_2 + Choice_9_7_3 + Choice_9_8_1\n",
" + Choice_9_8_2 + Choice_9_8_3 + Choice_9_9_1 + Choice_9_9_2 + Choice_9_9_3\n",
" = 1\n",
"\n",
"_C323: Choice_9_7_4 + Choice_9_7_5 + Choice_9_7_6 + Choice_9_8_4\n",
" + Choice_9_8_5 + Choice_9_8_6 + Choice_9_9_4 + Choice_9_9_5 + Choice_9_9_6\n",
" = 1\n",
"\n",
"_C324: Choice_9_7_7 + Choice_9_7_8 + Choice_9_7_9 + Choice_9_8_7\n",
" + Choice_9_8_8 + Choice_9_8_9 + Choice_9_9_7 + Choice_9_9_8 + Choice_9_9_9\n",
" = 1\n",
"\n",
"_C325: Choice_5_1_1 = 1\n",
"\n",
"_C326: Choice_6_2_1 = 1\n",
"\n",
"_C327: Choice_8_4_1 = 1\n",
"\n",
"_C328: Choice_4_5_1 = 1\n",
"\n",
"_C329: Choice_7_6_1 = 1\n",
"\n",
"_C330: Choice_3_1_2 = 1\n",
"\n",
"_C331: Choice_9_3_2 = 1\n",
"\n",
"_C332: Choice_6_7_2 = 1\n",
"\n",
"_C333: Choice_8_3_3 = 1\n",
"\n",
"_C334: Choice_1_2_4 = 1\n",
"\n",
"_C335: Choice_8_5_4 = 1\n",
"\n",
"_C336: Choice_4_8_4 = 1\n",
"\n",
"_C337: Choice_7_1_5 = 1\n",
"\n",
"_C338: Choice_9_2_5 = 1\n",
"\n",
"_C339: Choice_6_4_5 = 1\n",
"\n",
"_C340: Choice_2_6_5 = 1\n",
"\n",
"_C341: Choice_1_8_5 = 1\n",
"\n",
"_C342: Choice_8_9_5 = 1\n",
"\n",
"_C343: Choice_5_2_6 = 1\n",
"\n",
"_C344: Choice_3_5_6 = 1\n",
"\n",
"_C345: Choice_9_8_6 = 1\n",
"\n",
"_C346: Choice_2_7_7 = 1\n",
"\n",
"_C347: Choice_6_3_8 = 1\n",
"\n",
"_C348: Choice_8_7_8 = 1\n",
"\n",
"_C349: Choice_7_9_8 = 1\n",
"\n",
"_C350: Choice_3_4_9 = 1\n",
"\n",
"_C351: Choice_1_5_9 = 1\n",
"\n",
"_C352: Choice_6_6_9 = 1\n",
"\n",
"_C353: Choice_5_8_9 = 1\n",
"\n",
"VARIABLES\n",
"0 <= Choice_1_1_1 <= 1 Integer\n",
"0 <= Choice_1_1_2 <= 1 Integer\n",
"0 <= Choice_1_1_3 <= 1 Integer\n",
"0 <= Choice_1_1_4 <= 1 Integer\n",
"0 <= Choice_1_1_5 <= 1 Integer\n",
"0 <= Choice_1_1_6 <= 1 Integer\n",
"0 <= Choice_1_1_7 <= 1 Integer\n",
"0 <= Choice_1_1_8 <= 1 Integer\n",
"0 <= Choice_1_1_9 <= 1 Integer\n",
"0 <= Choice_1_2_1 <= 1 Integer\n",
"0 <= Choice_1_2_2 <= 1 Integer\n",
"0 <= Choice_1_2_3 <= 1 Integer\n",
"0 <= Choice_1_2_4 <= 1 Integer\n",
"0 <= Choice_1_2_5 <= 1 Integer\n",
"0 <= Choice_1_2_6 <= 1 Integer\n",
"0 <= Choice_1_2_7 <= 1 Integer\n",
"0 <= Choice_1_2_8 <= 1 Integer\n",
"0 <= Choice_1_2_9 <= 1 Integer\n",
"0 <= Choice_1_3_1 <= 1 Integer\n",
"0 <= Choice_1_3_2 <= 1 Integer\n",
"0 <= Choice_1_3_3 <= 1 Integer\n",
"0 <= Choice_1_3_4 <= 1 Integer\n",
"0 <= Choice_1_3_5 <= 1 Integer\n",
"0 <= Choice_1_3_6 <= 1 Integer\n",
"0 <= Choice_1_3_7 <= 1 Integer\n",
"0 <= Choice_1_3_8 <= 1 Integer\n",
"0 <= Choice_1_3_9 <= 1 Integer\n",
"0 <= Choice_1_4_1 <= 1 Integer\n",
"0 <= Choice_1_4_2 <= 1 Integer\n",
"0 <= Choice_1_4_3 <= 1 Integer\n",
"0 <= Choice_1_4_4 <= 1 Integer\n",
"0 <= Choice_1_4_5 <= 1 Integer\n",
"0 <= Choice_1_4_6 <= 1 Integer\n",
"0 <= Choice_1_4_7 <= 1 Integer\n",
"0 <= Choice_1_4_8 <= 1 Integer\n",
"0 <= Choice_1_4_9 <= 1 Integer\n",
"0 <= Choice_1_5_1 <= 1 Integer\n",
"0 <= Choice_1_5_2 <= 1 Integer\n",
"0 <= Choice_1_5_3 <= 1 Integer\n",
"0 <= Choice_1_5_4 <= 1 Integer\n",
"0 <= Choice_1_5_5 <= 1 Integer\n",
"0 <= Choice_1_5_6 <= 1 Integer\n",
"0 <= Choice_1_5_7 <= 1 Integer\n",
"0 <= Choice_1_5_8 <= 1 Integer\n",
"0 <= Choice_1_5_9 <= 1 Integer\n",
"0 <= Choice_1_6_1 <= 1 Integer\n",
"0 <= Choice_1_6_2 <= 1 Integer\n",
"0 <= Choice_1_6_3 <= 1 Integer\n",
"0 <= Choice_1_6_4 <= 1 Integer\n",
"0 <= Choice_1_6_5 <= 1 Integer\n",
"0 <= Choice_1_6_6 <= 1 Integer\n",
"0 <= Choice_1_6_7 <= 1 Integer\n",
"0 <= Choice_1_6_8 <= 1 Integer\n",
"0 <= Choice_1_6_9 <= 1 Integer\n",
"0 <= Choice_1_7_1 <= 1 Integer\n",
"0 <= Choice_1_7_2 <= 1 Integer\n",
"0 <= Choice_1_7_3 <= 1 Integer\n",
"0 <= Choice_1_7_4 <= 1 Integer\n",
"0 <= Choice_1_7_5 <= 1 Integer\n",
"0 <= Choice_1_7_6 <= 1 Integer\n",
"0 <= Choice_1_7_7 <= 1 Integer\n",
"0 <= Choice_1_7_8 <= 1 Integer\n",
"0 <= Choice_1_7_9 <= 1 Integer\n",
"0 <= Choice_1_8_1 <= 1 Integer\n",
"0 <= Choice_1_8_2 <= 1 Integer\n",
"0 <= Choice_1_8_3 <= 1 Integer\n",
"0 <= Choice_1_8_4 <= 1 Integer\n",
"0 <= Choice_1_8_5 <= 1 Integer\n",
"0 <= Choice_1_8_6 <= 1 Integer\n",
"0 <= Choice_1_8_7 <= 1 Integer\n",
"0 <= Choice_1_8_8 <= 1 Integer\n",
"0 <= Choice_1_8_9 <= 1 Integer\n",
"0 <= Choice_1_9_1 <= 1 Integer\n",
"0 <= Choice_1_9_2 <= 1 Integer\n",
"0 <= Choice_1_9_3 <= 1 Integer\n",
"0 <= Choice_1_9_4 <= 1 Integer\n",
"0 <= Choice_1_9_5 <= 1 Integer\n",
"0 <= Choice_1_9_6 <= 1 Integer\n",
"0 <= Choice_1_9_7 <= 1 Integer\n",
"0 <= Choice_1_9_8 <= 1 Integer\n",
"0 <= Choice_1_9_9 <= 1 Integer\n",
"0 <= Choice_2_1_1 <= 1 Integer\n",
"0 <= Choice_2_1_2 <= 1 Integer\n",
"0 <= Choice_2_1_3 <= 1 Integer\n",
"0 <= Choice_2_1_4 <= 1 Integer\n",
"0 <= Choice_2_1_5 <= 1 Integer\n",
"0 <= Choice_2_1_6 <= 1 Integer\n",
"0 <= Choice_2_1_7 <= 1 Integer\n",
"0 <= Choice_2_1_8 <= 1 Integer\n",
"0 <= Choice_2_1_9 <= 1 Integer\n",
"0 <= Choice_2_2_1 <= 1 Integer\n",
"0 <= Choice_2_2_2 <= 1 Integer\n",
"0 <= Choice_2_2_3 <= 1 Integer\n",
"0 <= Choice_2_2_4 <= 1 Integer\n",
"0 <= Choice_2_2_5 <= 1 Integer\n",
"0 <= Choice_2_2_6 <= 1 Integer\n",
"0 <= Choice_2_2_7 <= 1 Integer\n",
"0 <= Choice_2_2_8 <= 1 Integer\n",
"0 <= Choice_2_2_9 <= 1 Integer\n",
"0 <= Choice_2_3_1 <= 1 Integer\n",
"0 <= Choice_2_3_2 <= 1 Integer\n",
"0 <= Choice_2_3_3 <= 1 Integer\n",
"0 <= Choice_2_3_4 <= 1 Integer\n",
"0 <= Choice_2_3_5 <= 1 Integer\n",
"0 <= Choice_2_3_6 <= 1 Integer\n",
"0 <= Choice_2_3_7 <= 1 Integer\n",
"0 <= Choice_2_3_8 <= 1 Integer\n",
"0 <= Choice_2_3_9 <= 1 Integer\n",
"0 <= Choice_2_4_1 <= 1 Integer\n",
"0 <= Choice_2_4_2 <= 1 Integer\n",
"0 <= Choice_2_4_3 <= 1 Integer\n",
"0 <= Choice_2_4_4 <= 1 Integer\n",
"0 <= Choice_2_4_5 <= 1 Integer\n",
"0 <= Choice_2_4_6 <= 1 Integer\n",
"0 <= Choice_2_4_7 <= 1 Integer\n",
"0 <= Choice_2_4_8 <= 1 Integer\n",
"0 <= Choice_2_4_9 <= 1 Integer\n",
"0 <= Choice_2_5_1 <= 1 Integer\n",
"0 <= Choice_2_5_2 <= 1 Integer\n",
"0 <= Choice_2_5_3 <= 1 Integer\n",
"0 <= Choice_2_5_4 <= 1 Integer\n",
"0 <= Choice_2_5_5 <= 1 Integer\n",
"0 <= Choice_2_5_6 <= 1 Integer\n",
"0 <= Choice_2_5_7 <= 1 Integer\n",
"0 <= Choice_2_5_8 <= 1 Integer\n",
"0 <= Choice_2_5_9 <= 1 Integer\n",
"0 <= Choice_2_6_1 <= 1 Integer\n",
"0 <= Choice_2_6_2 <= 1 Integer\n",
"0 <= Choice_2_6_3 <= 1 Integer\n",
"0 <= Choice_2_6_4 <= 1 Integer\n",
"0 <= Choice_2_6_5 <= 1 Integer\n",
"0 <= Choice_2_6_6 <= 1 Integer\n",
"0 <= Choice_2_6_7 <= 1 Integer\n",
"0 <= Choice_2_6_8 <= 1 Integer\n",
"0 <= Choice_2_6_9 <= 1 Integer\n",
"0 <= Choice_2_7_1 <= 1 Integer\n",
"0 <= Choice_2_7_2 <= 1 Integer\n",
"0 <= Choice_2_7_3 <= 1 Integer\n",
"0 <= Choice_2_7_4 <= 1 Integer\n",
"0 <= Choice_2_7_5 <= 1 Integer\n",
"0 <= Choice_2_7_6 <= 1 Integer\n",
"0 <= Choice_2_7_7 <= 1 Integer\n",
"0 <= Choice_2_7_8 <= 1 Integer\n",
"0 <= Choice_2_7_9 <= 1 Integer\n",
"0 <= Choice_2_8_1 <= 1 Integer\n",
"0 <= Choice_2_8_2 <= 1 Integer\n",
"0 <= Choice_2_8_3 <= 1 Integer\n",
"0 <= Choice_2_8_4 <= 1 Integer\n",
"0 <= Choice_2_8_5 <= 1 Integer\n",
"0 <= Choice_2_8_6 <= 1 Integer\n",
"0 <= Choice_2_8_7 <= 1 Integer\n",
"0 <= Choice_2_8_8 <= 1 Integer\n",
"0 <= Choice_2_8_9 <= 1 Integer\n",
"0 <= Choice_2_9_1 <= 1 Integer\n",
"0 <= Choice_2_9_2 <= 1 Integer\n",
"0 <= Choice_2_9_3 <= 1 Integer\n",
"0 <= Choice_2_9_4 <= 1 Integer\n",
"0 <= Choice_2_9_5 <= 1 Integer\n",
"0 <= Choice_2_9_6 <= 1 Integer\n",
"0 <= Choice_2_9_7 <= 1 Integer\n",
"0 <= Choice_2_9_8 <= 1 Integer\n",
"0 <= Choice_2_9_9 <= 1 Integer\n",
"0 <= Choice_3_1_1 <= 1 Integer\n",
"0 <= Choice_3_1_2 <= 1 Integer\n",
"0 <= Choice_3_1_3 <= 1 Integer\n",
"0 <= Choice_3_1_4 <= 1 Integer\n",
"0 <= Choice_3_1_5 <= 1 Integer\n",
"0 <= Choice_3_1_6 <= 1 Integer\n",
"0 <= Choice_3_1_7 <= 1 Integer\n",
"0 <= Choice_3_1_8 <= 1 Integer\n",
"0 <= Choice_3_1_9 <= 1 Integer\n",
"0 <= Choice_3_2_1 <= 1 Integer\n",
"0 <= Choice_3_2_2 <= 1 Integer\n",
"0 <= Choice_3_2_3 <= 1 Integer\n",
"0 <= Choice_3_2_4 <= 1 Integer\n",
"0 <= Choice_3_2_5 <= 1 Integer\n",
"0 <= Choice_3_2_6 <= 1 Integer\n",
"0 <= Choice_3_2_7 <= 1 Integer\n",
"0 <= Choice_3_2_8 <= 1 Integer\n",
"0 <= Choice_3_2_9 <= 1 Integer\n",
"0 <= Choice_3_3_1 <= 1 Integer\n",
"0 <= Choice_3_3_2 <= 1 Integer\n",
"0 <= Choice_3_3_3 <= 1 Integer\n",
"0 <= Choice_3_3_4 <= 1 Integer\n",
"0 <= Choice_3_3_5 <= 1 Integer\n",
"0 <= Choice_3_3_6 <= 1 Integer\n",
"0 <= Choice_3_3_7 <= 1 Integer\n",
"0 <= Choice_3_3_8 <= 1 Integer\n",
"0 <= Choice_3_3_9 <= 1 Integer\n",
"0 <= Choice_3_4_1 <= 1 Integer\n",
"0 <= Choice_3_4_2 <= 1 Integer\n",
"0 <= Choice_3_4_3 <= 1 Integer\n",
"0 <= Choice_3_4_4 <= 1 Integer\n",
"0 <= Choice_3_4_5 <= 1 Integer\n",
"0 <= Choice_3_4_6 <= 1 Integer\n",
"0 <= Choice_3_4_7 <= 1 Integer\n",
"0 <= Choice_3_4_8 <= 1 Integer\n",
"0 <= Choice_3_4_9 <= 1 Integer\n",
"0 <= Choice_3_5_1 <= 1 Integer\n",
"0 <= Choice_3_5_2 <= 1 Integer\n",
"0 <= Choice_3_5_3 <= 1 Integer\n",
"0 <= Choice_3_5_4 <= 1 Integer\n",
"0 <= Choice_3_5_5 <= 1 Integer\n",
"0 <= Choice_3_5_6 <= 1 Integer\n",
"0 <= Choice_3_5_7 <= 1 Integer\n",
"0 <= Choice_3_5_8 <= 1 Integer\n",
"0 <= Choice_3_5_9 <= 1 Integer\n",
"0 <= Choice_3_6_1 <= 1 Integer\n",
"0 <= Choice_3_6_2 <= 1 Integer\n",
"0 <= Choice_3_6_3 <= 1 Integer\n",
"0 <= Choice_3_6_4 <= 1 Integer\n",
"0 <= Choice_3_6_5 <= 1 Integer\n",
"0 <= Choice_3_6_6 <= 1 Integer\n",
"0 <= Choice_3_6_7 <= 1 Integer\n",
"0 <= Choice_3_6_8 <= 1 Integer\n",
"0 <= Choice_3_6_9 <= 1 Integer\n",
"0 <= Choice_3_7_1 <= 1 Integer\n",
"0 <= Choice_3_7_2 <= 1 Integer\n",
"0 <= Choice_3_7_3 <= 1 Integer\n",
"0 <= Choice_3_7_4 <= 1 Integer\n",
"0 <= Choice_3_7_5 <= 1 Integer\n",
"0 <= Choice_3_7_6 <= 1 Integer\n",
"0 <= Choice_3_7_7 <= 1 Integer\n",
"0 <= Choice_3_7_8 <= 1 Integer\n",
"0 <= Choice_3_7_9 <= 1 Integer\n",
"0 <= Choice_3_8_1 <= 1 Integer\n",
"0 <= Choice_3_8_2 <= 1 Integer\n",
"0 <= Choice_3_8_3 <= 1 Integer\n",
"0 <= Choice_3_8_4 <= 1 Integer\n",
"0 <= Choice_3_8_5 <= 1 Integer\n",
"0 <= Choice_3_8_6 <= 1 Integer\n",
"0 <= Choice_3_8_7 <= 1 Integer\n",
"0 <= Choice_3_8_8 <= 1 Integer\n",
"0 <= Choice_3_8_9 <= 1 Integer\n",
"0 <= Choice_3_9_1 <= 1 Integer\n",
"0 <= Choice_3_9_2 <= 1 Integer\n",
"0 <= Choice_3_9_3 <= 1 Integer\n",
"0 <= Choice_3_9_4 <= 1 Integer\n",
"0 <= Choice_3_9_5 <= 1 Integer\n",
"0 <= Choice_3_9_6 <= 1 Integer\n",
"0 <= Choice_3_9_7 <= 1 Integer\n",
"0 <= Choice_3_9_8 <= 1 Integer\n",
"0 <= Choice_3_9_9 <= 1 Integer\n",
"0 <= Choice_4_1_1 <= 1 Integer\n",
"0 <= Choice_4_1_2 <= 1 Integer\n",
"0 <= Choice_4_1_3 <= 1 Integer\n",
"0 <= Choice_4_1_4 <= 1 Integer\n",
"0 <= Choice_4_1_5 <= 1 Integer\n",
"0 <= Choice_4_1_6 <= 1 Integer\n",
"0 <= Choice_4_1_7 <= 1 Integer\n",
"0 <= Choice_4_1_8 <= 1 Integer\n",
"0 <= Choice_4_1_9 <= 1 Integer\n",
"0 <= Choice_4_2_1 <= 1 Integer\n",
"0 <= Choice_4_2_2 <= 1 Integer\n",
"0 <= Choice_4_2_3 <= 1 Integer\n",
"0 <= Choice_4_2_4 <= 1 Integer\n",
"0 <= Choice_4_2_5 <= 1 Integer\n",
"0 <= Choice_4_2_6 <= 1 Integer\n",
"0 <= Choice_4_2_7 <= 1 Integer\n",
"0 <= Choice_4_2_8 <= 1 Integer\n",
"0 <= Choice_4_2_9 <= 1 Integer\n",
"0 <= Choice_4_3_1 <= 1 Integer\n",
"0 <= Choice_4_3_2 <= 1 Integer\n",
"0 <= Choice_4_3_3 <= 1 Integer\n",
"0 <= Choice_4_3_4 <= 1 Integer\n",
"0 <= Choice_4_3_5 <= 1 Integer\n",
"0 <= Choice_4_3_6 <= 1 Integer\n",
"0 <= Choice_4_3_7 <= 1 Integer\n",
"0 <= Choice_4_3_8 <= 1 Integer\n",
"0 <= Choice_4_3_9 <= 1 Integer\n",
"0 <= Choice_4_4_1 <= 1 Integer\n",
"0 <= Choice_4_4_2 <= 1 Integer\n",
"0 <= Choice_4_4_3 <= 1 Integer\n",
"0 <= Choice_4_4_4 <= 1 Integer\n",
"0 <= Choice_4_4_5 <= 1 Integer\n",
"0 <= Choice_4_4_6 <= 1 Integer\n",
"0 <= Choice_4_4_7 <= 1 Integer\n",
"0 <= Choice_4_4_8 <= 1 Integer\n",
"0 <= Choice_4_4_9 <= 1 Integer\n",
"0 <= Choice_4_5_1 <= 1 Integer\n",
"0 <= Choice_4_5_2 <= 1 Integer\n",
"0 <= Choice_4_5_3 <= 1 Integer\n",
"0 <= Choice_4_5_4 <= 1 Integer\n",
"0 <= Choice_4_5_5 <= 1 Integer\n",
"0 <= Choice_4_5_6 <= 1 Integer\n",
"0 <= Choice_4_5_7 <= 1 Integer\n",
"0 <= Choice_4_5_8 <= 1 Integer\n",
"0 <= Choice_4_5_9 <= 1 Integer\n",
"0 <= Choice_4_6_1 <= 1 Integer\n",
"0 <= Choice_4_6_2 <= 1 Integer\n",
"0 <= Choice_4_6_3 <= 1 Integer\n",
"0 <= Choice_4_6_4 <= 1 Integer\n",
"0 <= Choice_4_6_5 <= 1 Integer\n",
"0 <= Choice_4_6_6 <= 1 Integer\n",
"0 <= Choice_4_6_7 <= 1 Integer\n",
"0 <= Choice_4_6_8 <= 1 Integer\n",
"0 <= Choice_4_6_9 <= 1 Integer\n",
"0 <= Choice_4_7_1 <= 1 Integer\n",
"0 <= Choice_4_7_2 <= 1 Integer\n",
"0 <= Choice_4_7_3 <= 1 Integer\n",
"0 <= Choice_4_7_4 <= 1 Integer\n",
"0 <= Choice_4_7_5 <= 1 Integer\n",
"0 <= Choice_4_7_6 <= 1 Integer\n",
"0 <= Choice_4_7_7 <= 1 Integer\n",
"0 <= Choice_4_7_8 <= 1 Integer\n",
"0 <= Choice_4_7_9 <= 1 Integer\n",
"0 <= Choice_4_8_1 <= 1 Integer\n",
"0 <= Choice_4_8_2 <= 1 Integer\n",
"0 <= Choice_4_8_3 <= 1 Integer\n",
"0 <= Choice_4_8_4 <= 1 Integer\n",
"0 <= Choice_4_8_5 <= 1 Integer\n",
"0 <= Choice_4_8_6 <= 1 Integer\n",
"0 <= Choice_4_8_7 <= 1 Integer\n",
"0 <= Choice_4_8_8 <= 1 Integer\n",
"0 <= Choice_4_8_9 <= 1 Integer\n",
"0 <= Choice_4_9_1 <= 1 Integer\n",
"0 <= Choice_4_9_2 <= 1 Integer\n",
"0 <= Choice_4_9_3 <= 1 Integer\n",
"0 <= Choice_4_9_4 <= 1 Integer\n",
"0 <= Choice_4_9_5 <= 1 Integer\n",
"0 <= Choice_4_9_6 <= 1 Integer\n",
"0 <= Choice_4_9_7 <= 1 Integer\n",
"0 <= Choice_4_9_8 <= 1 Integer\n",
"0 <= Choice_4_9_9 <= 1 Integer\n",
"0 <= Choice_5_1_1 <= 1 Integer\n",
"0 <= Choice_5_1_2 <= 1 Integer\n",
"0 <= Choice_5_1_3 <= 1 Integer\n",
"0 <= Choice_5_1_4 <= 1 Integer\n",
"0 <= Choice_5_1_5 <= 1 Integer\n",
"0 <= Choice_5_1_6 <= 1 Integer\n",
"0 <= Choice_5_1_7 <= 1 Integer\n",
"0 <= Choice_5_1_8 <= 1 Integer\n",
"0 <= Choice_5_1_9 <= 1 Integer\n",
"0 <= Choice_5_2_1 <= 1 Integer\n",
"0 <= Choice_5_2_2 <= 1 Integer\n",
"0 <= Choice_5_2_3 <= 1 Integer\n",
"0 <= Choice_5_2_4 <= 1 Integer\n",
"0 <= Choice_5_2_5 <= 1 Integer\n",
"0 <= Choice_5_2_6 <= 1 Integer\n",
"0 <= Choice_5_2_7 <= 1 Integer\n",
"0 <= Choice_5_2_8 <= 1 Integer\n",
"0 <= Choice_5_2_9 <= 1 Integer\n",
"0 <= Choice_5_3_1 <= 1 Integer\n",
"0 <= Choice_5_3_2 <= 1 Integer\n",
"0 <= Choice_5_3_3 <= 1 Integer\n",
"0 <= Choice_5_3_4 <= 1 Integer\n",
"0 <= Choice_5_3_5 <= 1 Integer\n",
"0 <= Choice_5_3_6 <= 1 Integer\n",
"0 <= Choice_5_3_7 <= 1 Integer\n",
"0 <= Choice_5_3_8 <= 1 Integer\n",
"0 <= Choice_5_3_9 <= 1 Integer\n",
"0 <= Choice_5_4_1 <= 1 Integer\n",
"0 <= Choice_5_4_2 <= 1 Integer\n",
"0 <= Choice_5_4_3 <= 1 Integer\n",
"0 <= Choice_5_4_4 <= 1 Integer\n",
"0 <= Choice_5_4_5 <= 1 Integer\n",
"0 <= Choice_5_4_6 <= 1 Integer\n",
"0 <= Choice_5_4_7 <= 1 Integer\n",
"0 <= Choice_5_4_8 <= 1 Integer\n",
"0 <= Choice_5_4_9 <= 1 Integer\n",
"0 <= Choice_5_5_1 <= 1 Integer\n",
"0 <= Choice_5_5_2 <= 1 Integer\n",
"0 <= Choice_5_5_3 <= 1 Integer\n",
"0 <= Choice_5_5_4 <= 1 Integer\n",
"0 <= Choice_5_5_5 <= 1 Integer\n",
"0 <= Choice_5_5_6 <= 1 Integer\n",
"0 <= Choice_5_5_7 <= 1 Integer\n",
"0 <= Choice_5_5_8 <= 1 Integer\n",
"0 <= Choice_5_5_9 <= 1 Integer\n",
"0 <= Choice_5_6_1 <= 1 Integer\n",
"0 <= Choice_5_6_2 <= 1 Integer\n",
"0 <= Choice_5_6_3 <= 1 Integer\n",
"0 <= Choice_5_6_4 <= 1 Integer\n",
"0 <= Choice_5_6_5 <= 1 Integer\n",
"0 <= Choice_5_6_6 <= 1 Integer\n",
"0 <= Choice_5_6_7 <= 1 Integer\n",
"0 <= Choice_5_6_8 <= 1 Integer\n",
"0 <= Choice_5_6_9 <= 1 Integer\n",
"0 <= Choice_5_7_1 <= 1 Integer\n",
"0 <= Choice_5_7_2 <= 1 Integer\n",
"0 <= Choice_5_7_3 <= 1 Integer\n",
"0 <= Choice_5_7_4 <= 1 Integer\n",
"0 <= Choice_5_7_5 <= 1 Integer\n",
"0 <= Choice_5_7_6 <= 1 Integer\n",
"0 <= Choice_5_7_7 <= 1 Integer\n",
"0 <= Choice_5_7_8 <= 1 Integer\n",
"0 <= Choice_5_7_9 <= 1 Integer\n",
"0 <= Choice_5_8_1 <= 1 Integer\n",
"0 <= Choice_5_8_2 <= 1 Integer\n",
"0 <= Choice_5_8_3 <= 1 Integer\n",
"0 <= Choice_5_8_4 <= 1 Integer\n",
"0 <= Choice_5_8_5 <= 1 Integer\n",
"0 <= Choice_5_8_6 <= 1 Integer\n",
"0 <= Choice_5_8_7 <= 1 Integer\n",
"0 <= Choice_5_8_8 <= 1 Integer\n",
"0 <= Choice_5_8_9 <= 1 Integer\n",
"0 <= Choice_5_9_1 <= 1 Integer\n",
"0 <= Choice_5_9_2 <= 1 Integer\n",
"0 <= Choice_5_9_3 <= 1 Integer\n",
"0 <= Choice_5_9_4 <= 1 Integer\n",
"0 <= Choice_5_9_5 <= 1 Integer\n",
"0 <= Choice_5_9_6 <= 1 Integer\n",
"0 <= Choice_5_9_7 <= 1 Integer\n",
"0 <= Choice_5_9_8 <= 1 Integer\n",
"0 <= Choice_5_9_9 <= 1 Integer\n",
"0 <= Choice_6_1_1 <= 1 Integer\n",
"0 <= Choice_6_1_2 <= 1 Integer\n",
"0 <= Choice_6_1_3 <= 1 Integer\n",
"0 <= Choice_6_1_4 <= 1 Integer\n",
"0 <= Choice_6_1_5 <= 1 Integer\n",
"0 <= Choice_6_1_6 <= 1 Integer\n",
"0 <= Choice_6_1_7 <= 1 Integer\n",
"0 <= Choice_6_1_8 <= 1 Integer\n",
"0 <= Choice_6_1_9 <= 1 Integer\n",
"0 <= Choice_6_2_1 <= 1 Integer\n",
"0 <= Choice_6_2_2 <= 1 Integer\n",
"0 <= Choice_6_2_3 <= 1 Integer\n",
"0 <= Choice_6_2_4 <= 1 Integer\n",
"0 <= Choice_6_2_5 <= 1 Integer\n",
"0 <= Choice_6_2_6 <= 1 Integer\n",
"0 <= Choice_6_2_7 <= 1 Integer\n",
"0 <= Choice_6_2_8 <= 1 Integer\n",
"0 <= Choice_6_2_9 <= 1 Integer\n",
"0 <= Choice_6_3_1 <= 1 Integer\n",
"0 <= Choice_6_3_2 <= 1 Integer\n",
"0 <= Choice_6_3_3 <= 1 Integer\n",
"0 <= Choice_6_3_4 <= 1 Integer\n",
"0 <= Choice_6_3_5 <= 1 Integer\n",
"0 <= Choice_6_3_6 <= 1 Integer\n",
"0 <= Choice_6_3_7 <= 1 Integer\n",
"0 <= Choice_6_3_8 <= 1 Integer\n",
"0 <= Choice_6_3_9 <= 1 Integer\n",
"0 <= Choice_6_4_1 <= 1 Integer\n",
"0 <= Choice_6_4_2 <= 1 Integer\n",
"0 <= Choice_6_4_3 <= 1 Integer\n",
"0 <= Choice_6_4_4 <= 1 Integer\n",
"0 <= Choice_6_4_5 <= 1 Integer\n",
"0 <= Choice_6_4_6 <= 1 Integer\n",
"0 <= Choice_6_4_7 <= 1 Integer\n",
"0 <= Choice_6_4_8 <= 1 Integer\n",
"0 <= Choice_6_4_9 <= 1 Integer\n",
"0 <= Choice_6_5_1 <= 1 Integer\n",
"0 <= Choice_6_5_2 <= 1 Integer\n",
"0 <= Choice_6_5_3 <= 1 Integer\n",
"0 <= Choice_6_5_4 <= 1 Integer\n",
"0 <= Choice_6_5_5 <= 1 Integer\n",
"0 <= Choice_6_5_6 <= 1 Integer\n",
"0 <= Choice_6_5_7 <= 1 Integer\n",
"0 <= Choice_6_5_8 <= 1 Integer\n",
"0 <= Choice_6_5_9 <= 1 Integer\n",
"0 <= Choice_6_6_1 <= 1 Integer\n",
"0 <= Choice_6_6_2 <= 1 Integer\n",
"0 <= Choice_6_6_3 <= 1 Integer\n",
"0 <= Choice_6_6_4 <= 1 Integer\n",
"0 <= Choice_6_6_5 <= 1 Integer\n",
"0 <= Choice_6_6_6 <= 1 Integer\n",
"0 <= Choice_6_6_7 <= 1 Integer\n",
"0 <= Choice_6_6_8 <= 1 Integer\n",
"0 <= Choice_6_6_9 <= 1 Integer\n",
"0 <= Choice_6_7_1 <= 1 Integer\n",
"0 <= Choice_6_7_2 <= 1 Integer\n",
"0 <= Choice_6_7_3 <= 1 Integer\n",
"0 <= Choice_6_7_4 <= 1 Integer\n",
"0 <= Choice_6_7_5 <= 1 Integer\n",
"0 <= Choice_6_7_6 <= 1 Integer\n",
"0 <= Choice_6_7_7 <= 1 Integer\n",
"0 <= Choice_6_7_8 <= 1 Integer\n",
"0 <= Choice_6_7_9 <= 1 Integer\n",
"0 <= Choice_6_8_1 <= 1 Integer\n",
"0 <= Choice_6_8_2 <= 1 Integer\n",
"0 <= Choice_6_8_3 <= 1 Integer\n",
"0 <= Choice_6_8_4 <= 1 Integer\n",
"0 <= Choice_6_8_5 <= 1 Integer\n",
"0 <= Choice_6_8_6 <= 1 Integer\n",
"0 <= Choice_6_8_7 <= 1 Integer\n",
"0 <= Choice_6_8_8 <= 1 Integer\n",
"0 <= Choice_6_8_9 <= 1 Integer\n",
"0 <= Choice_6_9_1 <= 1 Integer\n",
"0 <= Choice_6_9_2 <= 1 Integer\n",
"0 <= Choice_6_9_3 <= 1 Integer\n",
"0 <= Choice_6_9_4 <= 1 Integer\n",
"0 <= Choice_6_9_5 <= 1 Integer\n",
"0 <= Choice_6_9_6 <= 1 Integer\n",
"0 <= Choice_6_9_7 <= 1 Integer\n",
"0 <= Choice_6_9_8 <= 1 Integer\n",
"0 <= Choice_6_9_9 <= 1 Integer\n",
"0 <= Choice_7_1_1 <= 1 Integer\n",
"0 <= Choice_7_1_2 <= 1 Integer\n",
"0 <= Choice_7_1_3 <= 1 Integer\n",
"0 <= Choice_7_1_4 <= 1 Integer\n",
"0 <= Choice_7_1_5 <= 1 Integer\n",
"0 <= Choice_7_1_6 <= 1 Integer\n",
"0 <= Choice_7_1_7 <= 1 Integer\n",
"0 <= Choice_7_1_8 <= 1 Integer\n",
"0 <= Choice_7_1_9 <= 1 Integer\n",
"0 <= Choice_7_2_1 <= 1 Integer\n",
"0 <= Choice_7_2_2 <= 1 Integer\n",
"0 <= Choice_7_2_3 <= 1 Integer\n",
"0 <= Choice_7_2_4 <= 1 Integer\n",
"0 <= Choice_7_2_5 <= 1 Integer\n",
"0 <= Choice_7_2_6 <= 1 Integer\n",
"0 <= Choice_7_2_7 <= 1 Integer\n",
"0 <= Choice_7_2_8 <= 1 Integer\n",
"0 <= Choice_7_2_9 <= 1 Integer\n",
"0 <= Choice_7_3_1 <= 1 Integer\n",
"0 <= Choice_7_3_2 <= 1 Integer\n",
"0 <= Choice_7_3_3 <= 1 Integer\n",
"0 <= Choice_7_3_4 <= 1 Integer\n",
"0 <= Choice_7_3_5 <= 1 Integer\n",
"0 <= Choice_7_3_6 <= 1 Integer\n",
"0 <= Choice_7_3_7 <= 1 Integer\n",
"0 <= Choice_7_3_8 <= 1 Integer\n",
"0 <= Choice_7_3_9 <= 1 Integer\n",
"0 <= Choice_7_4_1 <= 1 Integer\n",
"0 <= Choice_7_4_2 <= 1 Integer\n",
"0 <= Choice_7_4_3 <= 1 Integer\n",
"0 <= Choice_7_4_4 <= 1 Integer\n",
"0 <= Choice_7_4_5 <= 1 Integer\n",
"0 <= Choice_7_4_6 <= 1 Integer\n",
"0 <= Choice_7_4_7 <= 1 Integer\n",
"0 <= Choice_7_4_8 <= 1 Integer\n",
"0 <= Choice_7_4_9 <= 1 Integer\n",
"0 <= Choice_7_5_1 <= 1 Integer\n",
"0 <= Choice_7_5_2 <= 1 Integer\n",
"0 <= Choice_7_5_3 <= 1 Integer\n",
"0 <= Choice_7_5_4 <= 1 Integer\n",
"0 <= Choice_7_5_5 <= 1 Integer\n",
"0 <= Choice_7_5_6 <= 1 Integer\n",
"0 <= Choice_7_5_7 <= 1 Integer\n",
"0 <= Choice_7_5_8 <= 1 Integer\n",
"0 <= Choice_7_5_9 <= 1 Integer\n",
"0 <= Choice_7_6_1 <= 1 Integer\n",
"0 <= Choice_7_6_2 <= 1 Integer\n",
"0 <= Choice_7_6_3 <= 1 Integer\n",
"0 <= Choice_7_6_4 <= 1 Integer\n",
"0 <= Choice_7_6_5 <= 1 Integer\n",
"0 <= Choice_7_6_6 <= 1 Integer\n",
"0 <= Choice_7_6_7 <= 1 Integer\n",
"0 <= Choice_7_6_8 <= 1 Integer\n",
"0 <= Choice_7_6_9 <= 1 Integer\n",
"0 <= Choice_7_7_1 <= 1 Integer\n",
"0 <= Choice_7_7_2 <= 1 Integer\n",
"0 <= Choice_7_7_3 <= 1 Integer\n",
"0 <= Choice_7_7_4 <= 1 Integer\n",
"0 <= Choice_7_7_5 <= 1 Integer\n",
"0 <= Choice_7_7_6 <= 1 Integer\n",
"0 <= Choice_7_7_7 <= 1 Integer\n",
"0 <= Choice_7_7_8 <= 1 Integer\n",
"0 <= Choice_7_7_9 <= 1 Integer\n",
"0 <= Choice_7_8_1 <= 1 Integer\n",
"0 <= Choice_7_8_2 <= 1 Integer\n",
"0 <= Choice_7_8_3 <= 1 Integer\n",
"0 <= Choice_7_8_4 <= 1 Integer\n",
"0 <= Choice_7_8_5 <= 1 Integer\n",
"0 <= Choice_7_8_6 <= 1 Integer\n",
"0 <= Choice_7_8_7 <= 1 Integer\n",
"0 <= Choice_7_8_8 <= 1 Integer\n",
"0 <= Choice_7_8_9 <= 1 Integer\n",
"0 <= Choice_7_9_1 <= 1 Integer\n",
"0 <= Choice_7_9_2 <= 1 Integer\n",
"0 <= Choice_7_9_3 <= 1 Integer\n",
"0 <= Choice_7_9_4 <= 1 Integer\n",
"0 <= Choice_7_9_5 <= 1 Integer\n",
"0 <= Choice_7_9_6 <= 1 Integer\n",
"0 <= Choice_7_9_7 <= 1 Integer\n",
"0 <= Choice_7_9_8 <= 1 Integer\n",
"0 <= Choice_7_9_9 <= 1 Integer\n",
"0 <= Choice_8_1_1 <= 1 Integer\n",
"0 <= Choice_8_1_2 <= 1 Integer\n",
"0 <= Choice_8_1_3 <= 1 Integer\n",
"0 <= Choice_8_1_4 <= 1 Integer\n",
"0 <= Choice_8_1_5 <= 1 Integer\n",
"0 <= Choice_8_1_6 <= 1 Integer\n",
"0 <= Choice_8_1_7 <= 1 Integer\n",
"0 <= Choice_8_1_8 <= 1 Integer\n",
"0 <= Choice_8_1_9 <= 1 Integer\n",
"0 <= Choice_8_2_1 <= 1 Integer\n",
"0 <= Choice_8_2_2 <= 1 Integer\n",
"0 <= Choice_8_2_3 <= 1 Integer\n",
"0 <= Choice_8_2_4 <= 1 Integer\n",
"0 <= Choice_8_2_5 <= 1 Integer\n",
"0 <= Choice_8_2_6 <= 1 Integer\n",
"0 <= Choice_8_2_7 <= 1 Integer\n",
"0 <= Choice_8_2_8 <= 1 Integer\n",
"0 <= Choice_8_2_9 <= 1 Integer\n",
"0 <= Choice_8_3_1 <= 1 Integer\n",
"0 <= Choice_8_3_2 <= 1 Integer\n",
"0 <= Choice_8_3_3 <= 1 Integer\n",
"0 <= Choice_8_3_4 <= 1 Integer\n",
"0 <= Choice_8_3_5 <= 1 Integer\n",
"0 <= Choice_8_3_6 <= 1 Integer\n",
"0 <= Choice_8_3_7 <= 1 Integer\n",
"0 <= Choice_8_3_8 <= 1 Integer\n",
"0 <= Choice_8_3_9 <= 1 Integer\n",
"0 <= Choice_8_4_1 <= 1 Integer\n",
"0 <= Choice_8_4_2 <= 1 Integer\n",
"0 <= Choice_8_4_3 <= 1 Integer\n",
"0 <= Choice_8_4_4 <= 1 Integer\n",
"0 <= Choice_8_4_5 <= 1 Integer\n",
"0 <= Choice_8_4_6 <= 1 Integer\n",
"0 <= Choice_8_4_7 <= 1 Integer\n",
"0 <= Choice_8_4_8 <= 1 Integer\n",
"0 <= Choice_8_4_9 <= 1 Integer\n",
"0 <= Choice_8_5_1 <= 1 Integer\n",
"0 <= Choice_8_5_2 <= 1 Integer\n",
"0 <= Choice_8_5_3 <= 1 Integer\n",
"0 <= Choice_8_5_4 <= 1 Integer\n",
"0 <= Choice_8_5_5 <= 1 Integer\n",
"0 <= Choice_8_5_6 <= 1 Integer\n",
"0 <= Choice_8_5_7 <= 1 Integer\n",
"0 <= Choice_8_5_8 <= 1 Integer\n",
"0 <= Choice_8_5_9 <= 1 Integer\n",
"0 <= Choice_8_6_1 <= 1 Integer\n",
"0 <= Choice_8_6_2 <= 1 Integer\n",
"0 <= Choice_8_6_3 <= 1 Integer\n",
"0 <= Choice_8_6_4 <= 1 Integer\n",
"0 <= Choice_8_6_5 <= 1 Integer\n",
"0 <= Choice_8_6_6 <= 1 Integer\n",
"0 <= Choice_8_6_7 <= 1 Integer\n",
"0 <= Choice_8_6_8 <= 1 Integer\n",
"0 <= Choice_8_6_9 <= 1 Integer\n",
"0 <= Choice_8_7_1 <= 1 Integer\n",
"0 <= Choice_8_7_2 <= 1 Integer\n",
"0 <= Choice_8_7_3 <= 1 Integer\n",
"0 <= Choice_8_7_4 <= 1 Integer\n",
"0 <= Choice_8_7_5 <= 1 Integer\n",
"0 <= Choice_8_7_6 <= 1 Integer\n",
"0 <= Choice_8_7_7 <= 1 Integer\n",
"0 <= Choice_8_7_8 <= 1 Integer\n",
"0 <= Choice_8_7_9 <= 1 Integer\n",
"0 <= Choice_8_8_1 <= 1 Integer\n",
"0 <= Choice_8_8_2 <= 1 Integer\n",
"0 <= Choice_8_8_3 <= 1 Integer\n",
"0 <= Choice_8_8_4 <= 1 Integer\n",
"0 <= Choice_8_8_5 <= 1 Integer\n",
"0 <= Choice_8_8_6 <= 1 Integer\n",
"0 <= Choice_8_8_7 <= 1 Integer\n",
"0 <= Choice_8_8_8 <= 1 Integer\n",
"0 <= Choice_8_8_9 <= 1 Integer\n",
"0 <= Choice_8_9_1 <= 1 Integer\n",
"0 <= Choice_8_9_2 <= 1 Integer\n",
"0 <= Choice_8_9_3 <= 1 Integer\n",
"0 <= Choice_8_9_4 <= 1 Integer\n",
"0 <= Choice_8_9_5 <= 1 Integer\n",
"0 <= Choice_8_9_6 <= 1 Integer\n",
"0 <= Choice_8_9_7 <= 1 Integer\n",
"0 <= Choice_8_9_8 <= 1 Integer\n",
"0 <= Choice_8_9_9 <= 1 Integer\n",
"0 <= Choice_9_1_1 <= 1 Integer\n",
"0 <= Choice_9_1_2 <= 1 Integer\n",
"0 <= Choice_9_1_3 <= 1 Integer\n",
"0 <= Choice_9_1_4 <= 1 Integer\n",
"0 <= Choice_9_1_5 <= 1 Integer\n",
"0 <= Choice_9_1_6 <= 1 Integer\n",
"0 <= Choice_9_1_7 <= 1 Integer\n",
"0 <= Choice_9_1_8 <= 1 Integer\n",
"0 <= Choice_9_1_9 <= 1 Integer\n",
"0 <= Choice_9_2_1 <= 1 Integer\n",
"0 <= Choice_9_2_2 <= 1 Integer\n",
"0 <= Choice_9_2_3 <= 1 Integer\n",
"0 <= Choice_9_2_4 <= 1 Integer\n",
"0 <= Choice_9_2_5 <= 1 Integer\n",
"0 <= Choice_9_2_6 <= 1 Integer\n",
"0 <= Choice_9_2_7 <= 1 Integer\n",
"0 <= Choice_9_2_8 <= 1 Integer\n",
"0 <= Choice_9_2_9 <= 1 Integer\n",
"0 <= Choice_9_3_1 <= 1 Integer\n",
"0 <= Choice_9_3_2 <= 1 Integer\n",
"0 <= Choice_9_3_3 <= 1 Integer\n",
"0 <= Choice_9_3_4 <= 1 Integer\n",
"0 <= Choice_9_3_5 <= 1 Integer\n",
"0 <= Choice_9_3_6 <= 1 Integer\n",
"0 <= Choice_9_3_7 <= 1 Integer\n",
"0 <= Choice_9_3_8 <= 1 Integer\n",
"0 <= Choice_9_3_9 <= 1 Integer\n",
"0 <= Choice_9_4_1 <= 1 Integer\n",
"0 <= Choice_9_4_2 <= 1 Integer\n",
"0 <= Choice_9_4_3 <= 1 Integer\n",
"0 <= Choice_9_4_4 <= 1 Integer\n",
"0 <= Choice_9_4_5 <= 1 Integer\n",
"0 <= Choice_9_4_6 <= 1 Integer\n",
"0 <= Choice_9_4_7 <= 1 Integer\n",
"0 <= Choice_9_4_8 <= 1 Integer\n",
"0 <= Choice_9_4_9 <= 1 Integer\n",
"0 <= Choice_9_5_1 <= 1 Integer\n",
"0 <= Choice_9_5_2 <= 1 Integer\n",
"0 <= Choice_9_5_3 <= 1 Integer\n",
"0 <= Choice_9_5_4 <= 1 Integer\n",
"0 <= Choice_9_5_5 <= 1 Integer\n",
"0 <= Choice_9_5_6 <= 1 Integer\n",
"0 <= Choice_9_5_7 <= 1 Integer\n",
"0 <= Choice_9_5_8 <= 1 Integer\n",
"0 <= Choice_9_5_9 <= 1 Integer\n",
"0 <= Choice_9_6_1 <= 1 Integer\n",
"0 <= Choice_9_6_2 <= 1 Integer\n",
"0 <= Choice_9_6_3 <= 1 Integer\n",
"0 <= Choice_9_6_4 <= 1 Integer\n",
"0 <= Choice_9_6_5 <= 1 Integer\n",
"0 <= Choice_9_6_6 <= 1 Integer\n",
"0 <= Choice_9_6_7 <= 1 Integer\n",
"0 <= Choice_9_6_8 <= 1 Integer\n",
"0 <= Choice_9_6_9 <= 1 Integer\n",
"0 <= Choice_9_7_1 <= 1 Integer\n",
"0 <= Choice_9_7_2 <= 1 Integer\n",
"0 <= Choice_9_7_3 <= 1 Integer\n",
"0 <= Choice_9_7_4 <= 1 Integer\n",
"0 <= Choice_9_7_5 <= 1 Integer\n",
"0 <= Choice_9_7_6 <= 1 Integer\n",
"0 <= Choice_9_7_7 <= 1 Integer\n",
"0 <= Choice_9_7_8 <= 1 Integer\n",
"0 <= Choice_9_7_9 <= 1 Integer\n",
"0 <= Choice_9_8_1 <= 1 Integer\n",
"0 <= Choice_9_8_2 <= 1 Integer\n",
"0 <= Choice_9_8_3 <= 1 Integer\n",
"0 <= Choice_9_8_4 <= 1 Integer\n",
"0 <= Choice_9_8_5 <= 1 Integer\n",
"0 <= Choice_9_8_6 <= 1 Integer\n",
"0 <= Choice_9_8_7 <= 1 Integer\n",
"0 <= Choice_9_8_8 <= 1 Integer\n",
"0 <= Choice_9_8_9 <= 1 Integer\n",
"0 <= Choice_9_9_1 <= 1 Integer\n",
"0 <= Choice_9_9_2 <= 1 Integer\n",
"0 <= Choice_9_9_3 <= 1 Integer\n",
"0 <= Choice_9_9_4 <= 1 Integer\n",
"0 <= Choice_9_9_5 <= 1 Integer\n",
"0 <= Choice_9_9_6 <= 1 Integer\n",
"0 <= Choice_9_9_7 <= 1 Integer\n",
"0 <= Choice_9_9_8 <= 1 Integer\n",
"0 <= Choice_9_9_9 <= 1 Integer\n",
"__dummy = 0 Continuous\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\"\"\"\n",
"The Sudoku Problem Formulation for the PuLP Modeller\n",
"\n",
"Authors: Antony Phillips, Dr Stuart Mitcehll\n",
"\"\"\"\n",
"\n",
"# Import PuLP modeler functions\n",
"from pulp import *\n",
"\n",
"# A list of strings from \"1\" to \"9\" is created\n",
"Sequence = [\"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\", \"8\", \"9\"]\n",
"\n",
"# The Vals, Rows and Cols sequences all follow this form\n",
"Vals = Sequence\n",
"Rows = Sequence\n",
"Cols = Sequence\n",
"\n",
"# The boxes list is created, with the row and column index of each square in each box\n",
"Boxes =[]\n",
"for i in range(3):\n",
" for j in range(3):\n",
" Boxes += [[(Rows[3*i+k],Cols[3*j+l]) for k in range(3) for l in range(3)]]\n",
"\n",
"# The prob variable is created to contain the problem data \n",
"prob = LpProblem(\"Sudoku Problem\",LpMinimize)\n",
"\n",
"# The problem variables are created\n",
"choices = LpVariable.dicts(\"Choice\",(Vals,Rows,Cols),0,1)\n",
"\n",
"# Minimum L1 norm\n",
"#prob += lpSum([choices[v][r][c] for v in Vals for r in Rows for c in Cols])\n",
"prob += 0\n",
"# A constraint ensuring that only one value can be in each square is created\n",
"for r in Rows:\n",
" for c in Cols:\n",
" prob += lpSum([choices[v][r][c] for v in Vals]) == 1, \"\"\n",
"\n",
"# The row, column and box constraints are added for each value\n",
"for v in Vals:\n",
" for r in Rows:\n",
" prob += lpSum([choices[v][r][c] for c in Cols]) == 1,\"\"\n",
" \n",
" for c in Cols:\n",
" prob += lpSum([choices[v][r][c] for r in Rows]) == 1,\"\"\n",
"\n",
" for b in Boxes:\n",
" prob += lpSum([choices[v][r][c] for (r,c) in b]) == 1,\"\"\n",
" \n",
"# The starting numbers are entered as constraints \n",
"prob += choices[\"5\"][\"1\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"2\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"4\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"4\"][\"5\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"7\"][\"6\"][\"1\"] == 1,\"\"\n",
"prob += choices[\"3\"][\"1\"][\"2\"] == 1,\"\"\n",
"prob += choices[\"9\"][\"3\"][\"2\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"7\"][\"2\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"3\"][\"3\"] == 1,\"\"\n",
"prob += choices[\"1\"][\"2\"][\"4\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"5\"][\"4\"] == 1,\"\"\n",
"prob += choices[\"4\"][\"8\"][\"4\"] == 1,\"\"\n",
"prob += choices[\"7\"][\"1\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"9\"][\"2\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"4\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"2\"][\"6\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"1\"][\"8\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"9\"][\"5\"] == 1,\"\"\n",
"prob += choices[\"5\"][\"2\"][\"6\"] == 1,\"\"\n",
"prob += choices[\"3\"][\"5\"][\"6\"] == 1,\"\"\n",
"prob += choices[\"9\"][\"8\"][\"6\"] == 1,\"\"\n",
"prob += choices[\"2\"][\"7\"][\"7\"] == 1,\"\"\n",
"prob += choices[\"6\"][\"3\"][\"8\"] == 1,\"\"\n",
"prob += choices[\"8\"][\"7\"][\"8\"] == 1,\"\"\n",
"prob += choices[\"7\"][\"9\"][\"8\"] == 1,\"\"\n",
"#prob += choices[\"3\"][\"4\"][\"9\"] == 1,\"\"\n",
"#prob += choices[\"1\"][\"5\"][\"9\"] == 1,\"\"\n",
"#prob += choices[\"6\"][\"6\"][\"9\"] == 1,\"\"\n",
"#prob += choices[\"5\"][\"8\"][\"9\"] == 1,\"\"\n",
"\n",
"# The problem data is written to an .lp file\n",
"prob.writeLP(\"Sudoku.lp\")\n",
"\n",
"# The problem is solved using PuLP's choice of Solver\n",
"prob.solve()\n",
"\n",
"# The status of the solution is printed to the screen\n",
"print \"Status:\", LpStatus[prob.status]\n",
"\n",
"# A file called sudokuout.txt is created/overwritten for writing to\n",
"sudokuout = open('sudokuout2.txt','w')\n",
"\n",
"# The solution is written to the sudokuout.txt file \n",
"for r in Rows:\n",
" if r == \"1\" or r == \"4\" or r == \"7\":\n",
" sudokuout.write(\"+-------+-------+-------+\\n\")\n",
" for c in Cols:\n",
" for v in Vals:\n",
" if value(choices[v][r][c])==1:\n",
" \n",
" if c == \"1\" or c == \"4\" or c ==\"7\":\n",
" sudokuout.write(\"| \")\n",
" \n",
" sudokuout.write(v + \" \")\n",
" \n",
" if c == \"9\":\n",
" sudokuout.write(\"|\\n\")\n",
"sudokuout.write(\"+-------+-------+-------+\") \n",
"sudokuout.close()\n",
"\n",
"# The location of the solution is give to the user\n",
"print \"Solution Written to sudokuout2.txt\"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Status: Optimal\n",
"Solution Written to sudokuout2.txt\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"value(choices['2']['2']['1'])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"latex": [
"$$0.0$$"
],
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAABoAAAAOBAMAAADDIxFwAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEJmJdjLNVN0iZu+7\nq0QgoRR7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAdklEQVQIHWNgEDJRZQABCJ3OIDEBxAPTXBsY\nmBOAHAjNc4GB/SOQB6H5LzDwfQfyILS8AgPfFyAPQs83YGD9DORBaFSevAFUJZjmV2BgB5sCpjkO\nMHCBbIDQLBsYmBKAPCjdziAdwPiNgQFEMzAIu1xlYOiF0AD+DiarJQxxrwAAAABJRU5ErkJggg==\n",
"prompt_number": 17,
"text": [
"0.0"
]
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"prob"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 18,
"text": [
"Sudoku Problem:\n",
"MINIMIZE\n",
"0*__dummy + 0\n",
"SUBJECT TO\n",
"_C1: Choice_1_1_1 + Choice_2_1_1 + Choice_3_1_1 + Choice_4_1_1 + Choice_5_1_1\n",
" + Choice_6_1_1 + Choice_7_1_1 + Choice_8_1_1 + Choice_9_1_1 = 1\n",
"\n",
"_C2: Choice_1_1_2 + Choice_2_1_2 + Choice_3_1_2 + Choice_4_1_2 + Choice_5_1_2\n",
" + Choice_6_1_2 + Choice_7_1_2 + Choice_8_1_2 + Choice_9_1_2 = 1\n",
"\n",
"_C3: Choice_1_1_3 + Choice_2_1_3 + Choice_3_1_3 + Choice_4_1_3 + Choice_5_1_3\n",
" + Choice_6_1_3 + Choice_7_1_3 + Choice_8_1_3 + Choice_9_1_3 = 1\n",
"\n",
"_C4: Choice_1_1_4 + Choice_2_1_4 + Choice_3_1_4 + Choice_4_1_4 + Choice_5_1_4\n",
" + Choice_6_1_4 + Choice_7_1_4 + Choice_8_1_4 + Choice_9_1_4 = 1\n",
"\n",
"_C5: Choice_1_1_5 + Choice_2_1_5 + Choice_3_1_5 + Choice_4_1_5 + Choice_5_1_5\n",
" + Choice_6_1_5 + Choice_7_1_5 + Choice_8_1_5 + Choice_9_1_5 = 1\n",
"\n",
"_C6: Choice_1_1_6 + Choice_2_1_6 + Choice_3_1_6 + Choice_4_1_6 + Choice_5_1_6\n",
" + Choice_6_1_6 + Choice_7_1_6 + Choice_8_1_6 + Choice_9_1_6 = 1\n",
"\n",
"_C7: Choice_1_1_7 + Choice_2_1_7 + Choice_3_1_7 + Choice_4_1_7 + Choice_5_1_7\n",
" + Choice_6_1_7 + Choice_7_1_7 + Choice_8_1_7 + Choice_9_1_7 = 1\n",
"\n",
"_C8: Choice_1_1_8 + Choice_2_1_8 + Choice_3_1_8 + Choice_4_1_8 + Choice_5_1_8\n",
" + Choice_6_1_8 + Choice_7_1_8 + Choice_8_1_8 + Choice_9_1_8 = 1\n",
"\n",
"_C9: Choice_1_1_9 + Choice_2_1_9 + Choice_3_1_9 + Choice_4_1_9 + Choice_5_1_9\n",
" + Choice_6_1_9 + Choice_7_1_9 + Choice_8_1_9 + Choice_9_1_9 = 1\n",
"\n",
"_C10: Choice_1_2_1 + Choice_2_2_1 + Choice_3_2_1 + Choice_4_2_1 + Choice_5_2_1\n",
" + Choice_6_2_1 + Choice_7_2_1 + Choice_8_2_1 + Choice_9_2_1 = 1\n",
"\n",
"_C11: Choice_1_2_2 + Choice_2_2_2 + Choice_3_2_2 + Choice_4_2_2 + Choice_5_2_2\n",
" + Choice_6_2_2 + Choice_7_2_2 + Choice_8_2_2 + Choice_9_2_2 = 1\n",
"\n",
"_C12: Choice_1_2_3 + Choice_2_2_3 + Choice_3_2_3 + Choice_4_2_3 + Choice_5_2_3\n",
" + Choice_6_2_3 + Choice_7_2_3 + Choice_8_2_3 + Choice_9_2_3 = 1\n",
"\n",
"_C13: Choice_1_2_4 + Choice_2_2_4 + Choice_3_2_4 + Choice_4_2_4 + Choice_5_2_4\n",
" + Choice_6_2_4 + Choice_7_2_4 + Choice_8_2_4 + Choice_9_2_4 = 1\n",
"\n",
"_C14: Choice_1_2_5 + Choice_2_2_5 + Choice_3_2_5 + Choice_4_2_5 + Choice_5_2_5\n",
" + Choice_6_2_5 + Choice_7_2_5 + Choice_8_2_5 + Choice_9_2_5 = 1\n",
"\n",
"_C15: Choice_1_2_6 + Choice_2_2_6 + Choice_3_2_6 + Choice_4_2_6 + Choice_5_2_6\n",
" + Choice_6_2_6 + Choice_7_2_6 + Choice_8_2_6 + Choice_9_2_6 = 1\n",
"\n",
"_C16: Choice_1_2_7 + Choice_2_2_7 + Choice_3_2_7 + Choice_4_2_7 + Choice_5_2_7\n",
" + Choice_6_2_7 + Choice_7_2_7 + Choice_8_2_7 + Choice_9_2_7 = 1\n",
"\n",
"_C17: Choice_1_2_8 + Choice_2_2_8 + Choice_3_2_8 + Choice_4_2_8 + Choice_5_2_8\n",
" + Choice_6_2_8 + Choice_7_2_8 + Choice_8_2_8 + Choice_9_2_8 = 1\n",
"\n",
"_C18: Choice_1_2_9 + Choice_2_2_9 + Choice_3_2_9 + Choice_4_2_9 + Choice_5_2_9\n",
" + Choice_6_2_9 + Choice_7_2_9 + Choice_8_2_9 + Choice_9_2_9 = 1\n",
"\n",
"_C19: Choice_1_3_1 + Choice_2_3_1 + Choice_3_3_1 + Choice_4_3_1 + Choice_5_3_1\n",
" + Choice_6_3_1 + Choice_7_3_1 + Choice_8_3_1 + Choice_9_3_1 = 1\n",
"\n",
"_C20: Choice_1_3_2 + Choice_2_3_2 + Choice_3_3_2 + Choice_4_3_2 + Choice_5_3_2\n",
" + Choice_6_3_2 + Choice_7_3_2 + Choice_8_3_2 + Choice_9_3_2 = 1\n",
"\n",
"_C21: Choice_1_3_3 + Choice_2_3_3 + Choice_3_3_3 + Choice_4_3_3 + Choice_5_3_3\n",
" + Choice_6_3_3 + Choice_7_3_3 + Choice_8_3_3 + Choice_9_3_3 = 1\n",
"\n",
"_C22: Choice_1_3_4 + Choice_2_3_4 + Choice_3_3_4 + Choice_4_3_4 + Choice_5_3_4\n",
" + Choice_6_3_4 + Choice_7_3_4 + Choice_8_3_4 + Choice_9_3_4 = 1\n",
"\n",
"_C23: Choice_1_3_5 + Choice_2_3_5 + Choice_3_3_5 + Choice_4_3_5 + Choice_5_3_5\n",
" + Choice_6_3_5 + Choice_7_3_5 + Choice_8_3_5 + Choice_9_3_5 = 1\n",
"\n",
"_C24: Choice_1_3_6 + Choice_2_3_6 + Choice_3_3_6 + Choice_4_3_6 + Choice_5_3_6\n",
" + Choice_6_3_6 + Choice_7_3_6 + Choice_8_3_6 + Choice_9_3_6 = 1\n",
"\n",
"_C25: Choice_1_3_7 + Choice_2_3_7 + Choice_3_3_7 + Choice_4_3_7 + Choice_5_3_7\n",
" + Choice_6_3_7 + Choice_7_3_7 + Choice_8_3_7 + Choice_9_3_7 = 1\n",
"\n",
"_C26: Choice_1_3_8 + Choice_2_3_8 + Choice_3_3_8 + Choice_4_3_8 + Choice_5_3_8\n",
" + Choice_6_3_8 + Choice_7_3_8 + Choice_8_3_8 + Choice_9_3_8 = 1\n",
"\n",
"_C27: Choice_1_3_9 + Choice_2_3_9 + Choice_3_3_9 + Choice_4_3_9 + Choice_5_3_9\n",
" + Choice_6_3_9 + Choice_7_3_9 + Choice_8_3_9 + Choice_9_3_9 = 1\n",
"\n",
"_C28: Choice_1_4_1 + Choice_2_4_1 + Choice_3_4_1 + Choice_4_4_1 + Choice_5_4_1\n",
" + Choice_6_4_1 + Choice_7_4_1 + Choice_8_4_1 + Choice_9_4_1 = 1\n",
"\n",
"_C29: Choice_1_4_2 + Choice_2_4_2 + Choice_3_4_2 + Choice_4_4_2 + Choice_5_4_2\n",
" + Choice_6_4_2 + Choice_7_4_2 + Choice_8_4_2 + Choice_9_4_2 = 1\n",
"\n",
"_C30: Choice_1_4_3 + Choice_2_4_3 + Choice_3_4_3 + Choice_4_4_3 + Choice_5_4_3\n",
" + Choice_6_4_3 + Choice_7_4_3 + Choice_8_4_3 + Choice_9_4_3 = 1\n",
"\n",
"_C31: Choice_1_4_4 + Choice_2_4_4 + Choice_3_4_4 + Choice_4_4_4 + Choice_5_4_4\n",
" + Choice_6_4_4 + Choice_7_4_4 + Choice_8_4_4 + Choice_9_4_4 = 1\n",
"\n",
"_C32: Choice_1_4_5 + Choice_2_4_5 + Choice_3_4_5 + Choice_4_4_5 + Choice_5_4_5\n",
" + Choice_6_4_5 + Choice_7_4_5 + Choice_8_4_5 + Choice_9_4_5 = 1\n",
"\n",
"_C33: Choice_1_4_6 + Choice_2_4_6 + Choice_3_4_6 + Choice_4_4_6 + Choice_5_4_6\n",
" + Choice_6_4_6 + Choice_7_4_6 + Choice_8_4_6 + Choice_9_4_6 = 1\n",
"\n",
"_C34: Choice_1_4_7 + Choice_2_4_7 + Choice_3_4_7 + Choice_4_4_7 + Choice_5_4_7\n",
" + Choice_6_4_7 + Choice_7_4_7 + Choice_8_4_7 + Choice_9_4_7 = 1\n",
"\n",
"_C35: Choice_1_4_8 + Choice_2_4_8 + Choice_3_4_8 + Choice_4_4_8 + Choice_5_4_8\n",
" + Choice_6_4_8 + Choice_7_4_8 + Choice_8_4_8 + Choice_9_4_8 = 1\n",
"\n",
"_C36: Choice_1_4_9 + Choice_2_4_9 + Choice_3_4_9 + Choice_4_4_9 + Choice_5_4_9\n",
" + Choice_6_4_9 + Choice_7_4_9 + Choice_8_4_9 + Choice_9_4_9 = 1\n",
"\n",
"_C37: Choice_1_5_1 + Choice_2_5_1 + Choice_3_5_1 + Choice_4_5_1 + Choice_5_5_1\n",
" + Choice_6_5_1 + Choice_7_5_1 + Choice_8_5_1 + Choice_9_5_1 = 1\n",
"\n",
"_C38: Choice_1_5_2 + Choice_2_5_2 + Choice_3_5_2 + Choice_4_5_2 + Choice_5_5_2\n",
" + Choice_6_5_2 + Choice_7_5_2 + Choice_8_5_2 + Choice_9_5_2 = 1\n",
"\n",
"_C39: Choice_1_5_3 + Choice_2_5_3 + Choice_3_5_3 + Choice_4_5_3 + Choice_5_5_3\n",
" + Choice_6_5_3 + Choice_7_5_3 + Choice_8_5_3 + Choice_9_5_3 = 1\n",
"\n",
"_C40: Choice_1_5_4 + Choice_2_5_4 + Choice_3_5_4 + Choice_4_5_4 + Choice_5_5_4\n",
" + Choice_6_5_4 + Choice_7_5_4 + Choice_8_5_4 + Choice_9_5_4 = 1\n",
"\n",
"_C41: Choice_1_5_5 + Choice_2_5_5 + Choice_3_5_5 + Choice_4_5_5 + Choice_5_5_5\n",
" + Choice_6_5_5 + Choice_7_5_5 + Choice_8_5_5 + Choice_9_5_5 = 1\n",
"\n",
"_C42: Choice_1_5_6 + Choice_2_5_6 + Choice_3_5_6 + Choice_4_5_6 + Choice_5_5_6\n",
" + Choice_6_5_6 + Choice_7_5_6 + Choice_8_5_6 + Choice_9_5_6 = 1\n",
"\n",
"_C43: Choice_1_5_7 + Choice_2_5_7 + Choice_3_5_7 + Choice_4_5_7 + Choice_5_5_7\n",
" + Choice_6_5_7 + Choice_7_5_7 + Choice_8_5_7 + Choice_9_5_7 = 1\n",
"\n",
"_C44: Choice_1_5_8 + Choice_2_5_8 + Choice_3_5_8 + Choice_4_5_8 + Choice_5_5_8\n",
" + Choice_6_5_8 + Choice_7_5_8 + Choice_8_5_8 + Choice_9_5_8 = 1\n",
"\n",
"_C45: Choice_1_5_9 + Choice_2_5_9 + Choice_3_5_9 + Choice_4_5_9 + Choice_5_5_9\n",
" + Choice_6_5_9 + Choice_7_5_9 + Choice_8_5_9 + Choice_9_5_9 = 1\n",
"\n",
"_C46: Choice_1_6_1 + Choice_2_6_1 + Choice_3_6_1 + Choice_4_6_1 + Choice_5_6_1\n",
" + Choice_6_6_1 + Choice_7_6_1 + Choice_8_6_1 + Choice_9_6_1 = 1\n",
"\n",
"_C47: Choice_1_6_2 + Choice_2_6_2 + Choice_3_6_2 + Choice_4_6_2 + Choice_5_6_2\n",
" + Choice_6_6_2 + Choice_7_6_2 + Choice_8_6_2 + Choice_9_6_2 = 1\n",
"\n",
"_C48: Choice_1_6_3 + Choice_2_6_3 + Choice_3_6_3 + Choice_4_6_3 + Choice_5_6_3\n",
" + Choice_6_6_3 + Choice_7_6_3 + Choice_8_6_3 + Choice_9_6_3 = 1\n",
"\n",
"_C49: Choice_1_6_4 + Choice_2_6_4 + Choice_3_6_4 + Choice_4_6_4 + Choice_5_6_4\n",
" + Choice_6_6_4 + Choice_7_6_4 + Choice_8_6_4 + Choice_9_6_4 = 1\n",
"\n",
"_C50: Choice_1_6_5 + Choice_2_6_5 + Choice_3_6_5 + Choice_4_6_5 + Choice_5_6_5\n",
" + Choice_6_6_5 + Choice_7_6_5 + Choice_8_6_5 + Choice_9_6_5 = 1\n",
"\n",
"_C51: Choice_1_6_6 + Choice_2_6_6 + Choice_3_6_6 + Choice_4_6_6 + Choice_5_6_6\n",
" + Choice_6_6_6 + Choice_7_6_6 + Choice_8_6_6 + Choice_9_6_6 = 1\n",
"\n",
"_C52: Choice_1_6_7 + Choice_2_6_7 + Choice_3_6_7 + Choice_4_6_7 + Choice_5_6_7\n",
" + Choice_6_6_7 + Choice_7_6_7 + Choice_8_6_7 + Choice_9_6_7 = 1\n",
"\n",
"_C53: Choice_1_6_8 + Choice_2_6_8 + Choice_3_6_8 + Choice_4_6_8 + Choice_5_6_8\n",
" + Choice_6_6_8 + Choice_7_6_8 + Choice_8_6_8 + Choice_9_6_8 = 1\n",
"\n",
"_C54: Choice_1_6_9 + Choice_2_6_9 + Choice_3_6_9 + Choice_4_6_9 + Choice_5_6_9\n",
" + Choice_6_6_9 + Choice_7_6_9 + Choice_8_6_9 + Choice_9_6_9 = 1\n",
"\n",
"_C55: Choice_1_7_1 + Choice_2_7_1 + Choice_3_7_1 + Choice_4_7_1 + Choice_5_7_1\n",
" + Choice_6_7_1 + Choice_7_7_1 + Choice_8_7_1 + Choice_9_7_1 = 1\n",
"\n",
"_C56: Choice_1_7_2 + Choice_2_7_2 + Choice_3_7_2 + Choice_4_7_2 + Choice_5_7_2\n",
" + Choice_6_7_2 + Choice_7_7_2 + Choice_8_7_2 + Choice_9_7_2 = 1\n",
"\n",
"_C57: Choice_1_7_3 + Choice_2_7_3 + Choice_3_7_3 + Choice_4_7_3 + Choice_5_7_3\n",
" + Choice_6_7_3 + Choice_7_7_3 + Choice_8_7_3 + Choice_9_7_3 = 1\n",
"\n",
"_C58: Choice_1_7_4 + Choice_2_7_4 + Choice_3_7_4 + Choice_4_7_4 + Choice_5_7_4\n",
" + Choice_6_7_4 + Choice_7_7_4 + Choice_8_7_4 + Choice_9_7_4 = 1\n",
"\n",
"_C59: Choice_1_7_5 + Choice_2_7_5 + Choice_3_7_5 + Choice_4_7_5 + Choice_5_7_5\n",
" + Choice_6_7_5 + Choice_7_7_5 + Choice_8_7_5 + Choice_9_7_5 = 1\n",
"\n",
"_C60: Choice_1_7_6 + Choice_2_7_6 + Choice_3_7_6 + Choice_4_7_6 + Choice_5_7_6\n",
" + Choice_6_7_6 + Choice_7_7_6 + Choice_8_7_6 + Choice_9_7_6 = 1\n",
"\n",
"_C61: Choice_1_7_7 + Choice_2_7_7 + Choice_3_7_7 + Choice_4_7_7 + Choice_5_7_7\n",
" + Choice_6_7_7 + Choice_7_7_7 + Choice_8_7_7 + Choice_9_7_7 = 1\n",
"\n",
"_C62: Choice_1_7_8 + Choice_2_7_8 + Choice_3_7_8 + Choice_4_7_8 + Choice_5_7_8\n",
" + Choice_6_7_8 + Choice_7_7_8 + Choice_8_7_8 + Choice_9_7_8 = 1\n",
"\n",
"_C63: Choice_1_7_9 + Choice_2_7_9 + Choice_3_7_9 + Choice_4_7_9 + Choice_5_7_9\n",
" + Choice_6_7_9 + Choice_7_7_9 + Choice_8_7_9 + Choice_9_7_9 = 1\n",
"\n",
"_C64: Choice_1_8_1 + Choice_2_8_1 + Choice_3_8_1 + Choice_4_8_1 + Choice_5_8_1\n",
" + Choice_6_8_1 + Choice_7_8_1 + Choice_8_8_1 + Choice_9_8_1 = 1\n",
"\n",
"_C65: Choice_1_8_2 + Choice_2_8_2 + Choice_3_8_2 + Choice_4_8_2 + Choice_5_8_2\n",
" + Choice_6_8_2 + Choice_7_8_2 + Choice_8_8_2 + Choice_9_8_2 = 1\n",
"\n",
"_C66: Choice_1_8_3 + Choice_2_8_3 + Choice_3_8_3 + Choice_4_8_3 + Choice_5_8_3\n",
" + Choice_6_8_3 + Choice_7_8_3 + Choice_8_8_3 + Choice_9_8_3 = 1\n",
"\n",
"_C67: Choice_1_8_4 + Choice_2_8_4 + Choice_3_8_4 + Choice_4_8_4 + Choice_5_8_4\n",
" + Choice_6_8_4 + Choice_7_8_4 + Choice_8_8_4 + Choice_9_8_4 = 1\n",
"\n",
"_C68: Choice_1_8_5 + Choice_2_8_5 + Choice_3_8_5 + Choice_4_8_5 + Choice_5_8_5\n",
" + Choice_6_8_5 + Choice_7_8_5 + Choice_8_8_5 + Choice_9_8_5 = 1\n",
"\n",
"_C69: Choice_1_8_6 + Choice_2_8_6 + Choice_3_8_6 + Choice_4_8_6 + Choice_5_8_6\n",
" + Choice_6_8_6 + Choice_7_8_6 + Choice_8_8_6 + Choice_9_8_6 = 1\n",
"\n",
"_C70: Choice_1_8_7 + Choice_2_8_7 + Choice_3_8_7 + Choice_4_8_7 + Choice_5_8_7\n",
" + Choice_6_8_7 + Choice_7_8_7 + Choice_8_8_7 + Choice_9_8_7 = 1\n",
"\n",
"_C71: Choice_1_8_8 + Choice_2_8_8 + Choice_3_8_8 + Choice_4_8_8 + Choice_5_8_8\n",
" + Choice_6_8_8 + Choice_7_8_8 + Choice_8_8_8 + Choice_9_8_8 = 1\n",
"\n",
"_C72: Choice_1_8_9 + Choice_2_8_9 + Choice_3_8_9 + Choice_4_8_9 + Choice_5_8_9\n",
" + Choice_6_8_9 + Choice_7_8_9 + Choice_8_8_9 + Choice_9_8_9 = 1\n",
"\n",
"_C73: Choice_1_9_1 + Choice_2_9_1 + Choice_3_9_1 + Choice_4_9_1 + Choice_5_9_1\n",
" + Choice_6_9_1 + Choice_7_9_1 + Choice_8_9_1 + Choice_9_9_1 = 1\n",
"\n",
"_C74: Choice_1_9_2 + Choice_2_9_2 + Choice_3_9_2 + Choice_4_9_2 + Choice_5_9_2\n",
" + Choice_6_9_2 + Choice_7_9_2 + Choice_8_9_2 + Choice_9_9_2 = 1\n",
"\n",
"_C75: Choice_1_9_3 + Choice_2_9_3 + Choice_3_9_3 + Choice_4_9_3 + Choice_5_9_3\n",
" + Choice_6_9_3 + Choice_7_9_3 + Choice_8_9_3 + Choice_9_9_3 = 1\n",
"\n",
"_C76: Choice_1_9_4 + Choice_2_9_4 + Choice_3_9_4 + Choice_4_9_4 + Choice_5_9_4\n",
" + Choice_6_9_4 + Choice_7_9_4 + Choice_8_9_4 + Choice_9_9_4 = 1\n",
"\n",
"_C77: Choice_1_9_5 + Choice_2_9_5 + Choice_3_9_5 + Choice_4_9_5 + Choice_5_9_5\n",
" + Choice_6_9_5 + Choice_7_9_5 + Choice_8_9_5 + Choice_9_9_5 = 1\n",
"\n",
"_C78: Choice_1_9_6 + Choice_2_9_6 + Choice_3_9_6 + Choice_4_9_6 + Choice_5_9_6\n",
" + Choice_6_9_6 + Choice_7_9_6 + Choice_8_9_6 + Choice_9_9_6 = 1\n",
"\n",
"_C79: Choice_1_9_7 + Choice_2_9_7 + Choice_3_9_7 + Choice_4_9_7 + Choice_5_9_7\n",
" + Choice_6_9_7 + Choice_7_9_7 + Choice_8_9_7 + Choice_9_9_7 = 1\n",
"\n",
"_C80: Choice_1_9_8 + Choice_2_9_8 + Choice_3_9_8 + Choice_4_9_8 + Choice_5_9_8\n",
" + Choice_6_9_8 + Choice_7_9_8 + Choice_8_9_8 + Choice_9_9_8 = 1\n",
"\n",
"_C81: Choice_1_9_9 + Choice_2_9_9 + Choice_3_9_9 + Choice_4_9_9 + Choice_5_9_9\n",
" + Choice_6_9_9 + Choice_7_9_9 + Choice_8_9_9 + Choice_9_9_9 = 1\n",
"\n",
"_C82: Choice_1_1_1 + Choice_1_1_2 + Choice_1_1_3 + Choice_1_1_4 + Choice_1_1_5\n",
" + Choice_1_1_6 + Choice_1_1_7 + Choice_1_1_8 + Choice_1_1_9 = 1\n",
"\n",
"_C83: Choice_1_2_1 + Choice_1_2_2 + Choice_1_2_3 + Choice_1_2_4 + Choice_1_2_5\n",
" + Choice_1_2_6 + Choice_1_2_7 + Choice_1_2_8 + Choice_1_2_9 = 1\n",
"\n",
"_C84: Choice_1_3_1 + Choice_1_3_2 + Choice_1_3_3 + Choice_1_3_4 + Choice_1_3_5\n",
" + Choice_1_3_6 + Choice_1_3_7 + Choice_1_3_8 + Choice_1_3_9 = 1\n",
"\n",
"_C85: Choice_1_4_1 + Choice_1_4_2 + Choice_1_4_3 + Choice_1_4_4 + Choice_1_4_5\n",
" + Choice_1_4_6 + Choice_1_4_7 + Choice_1_4_8 + Choice_1_4_9 = 1\n",
"\n",
"_C86: Choice_1_5_1 + Choice_1_5_2 + Choice_1_5_3 + Choice_1_5_4 + Choice_1_5_5\n",
" + Choice_1_5_6 + Choice_1_5_7 + Choice_1_5_8 + Choice_1_5_9 = 1\n",
"\n",
"_C87: Choice_1_6_1 + Choice_1_6_2 + Choice_1_6_3 + Choice_1_6_4 + Choice_1_6_5\n",
" + Choice_1_6_6 + Choice_1_6_7 + Choice_1_6_8 + Choice_1_6_9 = 1\n",
"\n",
"_C88: Choice_1_7_1 + Choice_1_7_2 + Choice_1_7_3 + Choice_1_7_4 + Choice_1_7_5\n",
" + Choice_1_7_6 + Choice_1_7_7 + Choice_1_7_8 + Choice_1_7_9 = 1\n",
"\n",
"_C89: Choice_1_8_1 + Choice_1_8_2 + Choice_1_8_3 + Choice_1_8_4 + Choice_1_8_5\n",
" + Choice_1_8_6 + Choice_1_8_7 + Choice_1_8_8 + Choice_1_8_9 = 1\n",
"\n",
"_C90: Choice_1_9_1 + Choice_1_9_2 + Choice_1_9_3 + Choice_1_9_4 + Choice_1_9_5\n",
" + Choice_1_9_6 + Choice_1_9_7 + Choice_1_9_8 + Choice_1_9_9 = 1\n",
"\n",
"_C91: Choice_1_1_1 + Choice_1_2_1 + Choice_1_3_1 + Choice_1_4_1 + Choice_1_5_1\n",
" + Choice_1_6_1 + Choice_1_7_1 + Choice_1_8_1 + Choice_1_9_1 = 1\n",
"\n",
"_C92: Choice_1_1_2 + Choice_1_2_2 + Choice_1_3_2 + Choice_1_4_2 + Choice_1_5_2\n",
" + Choice_1_6_2 + Choice_1_7_2 + Choice_1_8_2 + Choice_1_9_2 = 1\n",
"\n",
"_C93: Choice_1_1_3 + Choice_1_2_3 + Choice_1_3_3 + Choice_1_4_3 + Choice_1_5_3\n",
" + Choice_1_6_3 + Choice_1_7_3 + Choice_1_8_3 + Choice_1_9_3 = 1\n",
"\n",
"_C94: Choice_1_1_4 + Choice_1_2_4 + Choice_1_3_4 + Choice_1_4_4 + Choice_1_5_4\n",
" + Choice_1_6_4 + Choice_1_7_4 + Choice_1_8_4 + Choice_1_9_4 = 1\n",
"\n",
"_C95: Choice_1_1_5 + Choice_1_2_5 + Choice_1_3_5 + Choice_1_4_5 + Choice_1_5_5\n",
" + Choice_1_6_5 + Choice_1_7_5 + Choice_1_8_5 + Choice_1_9_5 = 1\n",
"\n",
"_C96: Choice_1_1_6 + Choice_1_2_6 + Choice_1_3_6 + Choice_1_4_6 + Choice_1_5_6\n",
" + Choice_1_6_6 + Choice_1_7_6 + Choice_1_8_6 + Choice_1_9_6 = 1\n",
"\n",
"_C97: Choice_1_1_7 + Choice_1_2_7 + Choice_1_3_7 + Choice_1_4_7 + Choice_1_5_7\n",
" + Choice_1_6_7 + Choice_1_7_7 + Choice_1_8_7 + Choice_1_9_7 = 1\n",
"\n",
"_C98: Choice_1_1_8 + Choice_1_2_8 + Choice_1_3_8 + Choice_1_4_8 + Choice_1_5_8\n",
" + Choice_1_6_8 + Choice_1_7_8 + Choice_1_8_8 + Choice_1_9_8 = 1\n",
"\n",
"_C99: Choice_1_1_9 + Choice_1_2_9 + Choice_1_3_9 + Choice_1_4_9 + Choice_1_5_9\n",
" + Choice_1_6_9 + Choice_1_7_9 + Choice_1_8_9 + Choice_1_9_9 = 1\n",
"\n",
"_C100: Choice_1_1_1 + Choice_1_1_2 + Choice_1_1_3 + Choice_1_2_1\n",
" + Choice_1_2_2 + Choice_1_2_3 + Choice_1_3_1 + Choice_1_3_2 + Choice_1_3_3\n",
" = 1\n",
"\n",
"_C101: Choice_1_1_4 + Choice_1_1_5 + Choice_1_1_6 + Choice_1_2_4\n",
" + Choice_1_2_5 + Choice_1_2_6 + Choice_1_3_4 + Choice_1_3_5 + Choice_1_3_6\n",
" = 1\n",
"\n",
"_C102: Choice_1_1_7 + Choice_1_1_8 + Choice_1_1_9 + Choice_1_2_7\n",
" + Choice_1_2_8 + Choice_1_2_9 + Choice_1_3_7 + Choice_1_3_8 + Choice_1_3_9\n",
" = 1\n",
"\n",
"_C103: Choice_1_4_1 + Choice_1_4_2 + Choice_1_4_3 + Choice_1_5_1\n",
" + Choice_1_5_2 + Choice_1_5_3 + Choice_1_6_1 + Choice_1_6_2 + Choice_1_6_3\n",
" = 1\n",
"\n",
"_C104: Choice_1_4_4 + Choice_1_4_5 + Choice_1_4_6 + Choice_1_5_4\n",
" + Choice_1_5_5 + Choice_1_5_6 + Choice_1_6_4 + Choice_1_6_5 + Choice_1_6_6\n",
" = 1\n",
"\n",
"_C105: Choice_1_4_7 + Choice_1_4_8 + Choice_1_4_9 + Choice_1_5_7\n",
" + Choice_1_5_8 + Choice_1_5_9 + Choice_1_6_7 + Choice_1_6_8 + Choice_1_6_9\n",
" = 1\n",
"\n",
"_C106: Choice_1_7_1 + Choice_1_7_2 + Choice_1_7_3 + Choice_1_8_1\n",
" + Choice_1_8_2 + Choice_1_8_3 + Choice_1_9_1 + Choice_1_9_2 + Choice_1_9_3\n",
" = 1\n",
"\n",
"_C107: Choice_1_7_4 + Choice_1_7_5 + Choice_1_7_6 + Choice_1_8_4\n",
" + Choice_1_8_5 + Choice_1_8_6 + Choice_1_9_4 + Choice_1_9_5 + Choice_1_9_6\n",
" = 1\n",
"\n",
"_C108: Choice_1_7_7 + Choice_1_7_8 + Choice_1_7_9 + Choice_1_8_7\n",
" + Choice_1_8_8 + Choice_1_8_9 + Choice_1_9_7 + Choice_1_9_8 + Choice_1_9_9\n",
" = 1\n",
"\n",
"_C109: Choice_2_1_1 + Choice_2_1_2 + Choice_2_1_3 + Choice_2_1_4\n",
" + Choice_2_1_5 + Choice_2_1_6 + Choice_2_1_7 + Choice_2_1_8 + Choice_2_1_9\n",
" = 1\n",
"\n",
"_C110: Choice_2_2_1 + Choice_2_2_2 + Choice_2_2_3 + Choice_2_2_4\n",
" + Choice_2_2_5 + Choice_2_2_6 + Choice_2_2_7 + Choice_2_2_8 + Choice_2_2_9\n",
" = 1\n",
"\n",
"_C111: Choice_2_3_1 + Choice_2_3_2 + Choice_2_3_3 + Choice_2_3_4\n",
" + Choice_2_3_5 + Choice_2_3_6 + Choice_2_3_7 + Choice_2_3_8 + Choice_2_3_9\n",
" = 1\n",
"\n",
"_C112: Choice_2_4_1 + Choice_2_4_2 + Choice_2_4_3 + Choice_2_4_4\n",
" + Choice_2_4_5 + Choice_2_4_6 + Choice_2_4_7 + Choice_2_4_8 + Choice_2_4_9\n",
" = 1\n",
"\n",
"_C113: Choice_2_5_1 + Choice_2_5_2 + Choice_2_5_3 + Choice_2_5_4\n",
" + Choice_2_5_5 + Choice_2_5_6 + Choice_2_5_7 + Choice_2_5_8 + Choice_2_5_9\n",
" = 1\n",
"\n",
"_C114: Choice_2_6_1 + Choice_2_6_2 + Choice_2_6_3 + Choice_2_6_4\n",
" + Choice_2_6_5 + Choice_2_6_6 + Choice_2_6_7 + Choice_2_6_8 + Choice_2_6_9\n",
" = 1\n",
"\n",
"_C115: Choice_2_7_1 + Choice_2_7_2 + Choice_2_7_3 + Choice_2_7_4\n",
" + Choice_2_7_5 + Choice_2_7_6 + Choice_2_7_7 + Choice_2_7_8 + Choice_2_7_9\n",
" = 1\n",
"\n",
"_C116: Choice_2_8_1 + Choice_2_8_2 + Choice_2_8_3 + Choice_2_8_4\n",
" + Choice_2_8_5 + Choice_2_8_6 + Choice_2_8_7 + Choice_2_8_8 + Choice_2_8_9\n",
" = 1\n",
"\n",
"_C117: Choice_2_9_1 + Choice_2_9_2 + Choice_2_9_3 + Choice_2_9_4\n",
" + Choice_2_9_5 + Choice_2_9_6 + Choice_2_9_7 + Choice_2_9_8 + Choice_2_9_9\n",
" = 1\n",
"\n",
"_C118: Choice_2_1_1 + Choice_2_2_1 + Choice_2_3_1 + Choice_2_4_1\n",
" + Choice_2_5_1 + Choice_2_6_1 + Choice_2_7_1 + Choice_2_8_1 + Choice_2_9_1\n",
" = 1\n",
"\n",
"_C119: Choice_2_1_2 + Choice_2_2_2 + Choice_2_3_2 + Choice_2_4_2\n",
" + Choice_2_5_2 + Choice_2_6_2 + Choice_2_7_2 + Choice_2_8_2 + Choice_2_9_2\n",
" = 1\n",
"\n",
"_C120: Choice_2_1_3 + Choice_2_2_3 + Choice_2_3_3 + Choice_2_4_3\n",
" + Choice_2_5_3 + Choice_2_6_3 + Choice_2_7_3 + Choice_2_8_3 + Choice_2_9_3\n",
" = 1\n",
"\n",
"_C121: Choice_2_1_4 + Choice_2_2_4 + Choice_2_3_4 + Choice_2_4_4\n",
" + Choice_2_5_4 + Choice_2_6_4 + Choice_2_7_4 + Choice_2_8_4 + Choice_2_9_4\n",
" = 1\n",
"\n",
"_C122: Choice_2_1_5 + Choice_2_2_5 + Choice_2_3_5 + Choice_2_4_5\n",
" + Choice_2_5_5 + Choice_2_6_5 + Choice_2_7_5 + Choice_2_8_5 + Choice_2_9_5\n",
" = 1\n",
"\n",
"_C123: Choice_2_1_6 + Choice_2_2_6 + Choice_2_3_6 + Choice_2_4_6\n",
" + Choice_2_5_6 + Choice_2_6_6 + Choice_2_7_6 + Choice_2_8_6 + Choice_2_9_6\n",
" = 1\n",
"\n",
"_C124: Choice_2_1_7 + Choice_2_2_7 + Choice_2_3_7 + Choice_2_4_7\n",
" + Choice_2_5_7 + Choice_2_6_7 + Choice_2_7_7 + Choice_2_8_7 + Choice_2_9_7\n",
" = 1\n",
"\n",
"_C125: Choice_2_1_8 + Choice_2_2_8 + Choice_2_3_8 + Choice_2_4_8\n",
" + Choice_2_5_8 + Choice_2_6_8 + Choice_2_7_8 + Choice_2_8_8 + Choice_2_9_8\n",
" = 1\n",
"\n",
"_C126: Choice_2_1_9 + Choice_2_2_9 + Choice_2_3_9 + Choice_2_4_9\n",
" + Choice_2_5_9 + Choice_2_6_9 + Choice_2_7_9 + Choice_2_8_9 + Choice_2_9_9\n",
" = 1\n",
"\n",
"_C127: Choice_2_1_1 + Choice_2_1_2 + Choice_2_1_3 + Choice_2_2_1\n",
" + Choice_2_2_2 + Choice_2_2_3 + Choice_2_3_1 + Choice_2_3_2 + Choice_2_3_3\n",
" = 1\n",
"\n",
"_C128: Choice_2_1_4 + Choice_2_1_5 + Choice_2_1_6 + Choice_2_2_4\n",
" + Choice_2_2_5 + Choice_2_2_6 + Choice_2_3_4 + Choice_2_3_5 + Choice_2_3_6\n",
" = 1\n",
"\n",
"_C129: Choice_2_1_7 + Choice_2_1_8 + Choice_2_1_9 + Choice_2_2_7\n",
" + Choice_2_2_8 + Choice_2_2_9 + Choice_2_3_7 + Choice_2_3_8 + Choice_2_3_9\n",
" = 1\n",
"\n",
"_C130: Choice_2_4_1 + Choice_2_4_2 + Choice_2_4_3 + Choice_2_5_1\n",
" + Choice_2_5_2 + Choice_2_5_3 + Choice_2_6_1 + Choice_2_6_2 + Choice_2_6_3\n",
" = 1\n",
"\n",
"_C131: Choice_2_4_4 + Choice_2_4_5 + Choice_2_4_6 + Choice_2_5_4\n",
" + Choice_2_5_5 + Choice_2_5_6 + Choice_2_6_4 + Choice_2_6_5 + Choice_2_6_6\n",
" = 1\n",
"\n",
"_C132: Choice_2_4_7 + Choice_2_4_8 + Choice_2_4_9 + Choice_2_5_7\n",
" + Choice_2_5_8 + Choice_2_5_9 + Choice_2_6_7 + Choice_2_6_8 + Choice_2_6_9\n",
" = 1\n",
"\n",
"_C133: Choice_2_7_1 + Choice_2_7_2 + Choice_2_7_3 + Choice_2_8_1\n",
" + Choice_2_8_2 + Choice_2_8_3 + Choice_2_9_1 + Choice_2_9_2 + Choice_2_9_3\n",
" = 1\n",
"\n",
"_C134: Choice_2_7_4 + Choice_2_7_5 + Choice_2_7_6 + Choice_2_8_4\n",
" + Choice_2_8_5 + Choice_2_8_6 + Choice_2_9_4 + Choice_2_9_5 + Choice_2_9_6\n",
" = 1\n",
"\n",
"_C135: Choice_2_7_7 + Choice_2_7_8 + Choice_2_7_9 + Choice_2_8_7\n",
" + Choice_2_8_8 + Choice_2_8_9 + Choice_2_9_7 + Choice_2_9_8 + Choice_2_9_9\n",
" = 1\n",
"\n",
"_C136: Choice_3_1_1 + Choice_3_1_2 + Choice_3_1_3 + Choice_3_1_4\n",
" + Choice_3_1_5 + Choice_3_1_6 + Choice_3_1_7 + Choice_3_1_8 + Choice_3_1_9\n",
" = 1\n",
"\n",
"_C137: Choice_3_2_1 + Choice_3_2_2 + Choice_3_2_3 + Choice_3_2_4\n",
" + Choice_3_2_5 + Choice_3_2_6 + Choice_3_2_7 + Choice_3_2_8 + Choice_3_2_9\n",
" = 1\n",
"\n",
"_C138: Choice_3_3_1 + Choice_3_3_2 + Choice_3_3_3 + Choice_3_3_4\n",
" + Choice_3_3_5 + Choice_3_3_6 + Choice_3_3_7 + Choice_3_3_8 + Choice_3_3_9\n",
" = 1\n",
"\n",
"_C139: Choice_3_4_1 + Choice_3_4_2 + Choice_3_4_3 + Choice_3_4_4\n",
" + Choice_3_4_5 + Choice_3_4_6 + Choice_3_4_7 + Choice_3_4_8 + Choice_3_4_9\n",
" = 1\n",
"\n",
"_C140: Choice_3_5_1 + Choice_3_5_2 + Choice_3_5_3 + Choice_3_5_4\n",
" + Choice_3_5_5 + Choice_3_5_6 + Choice_3_5_7 + Choice_3_5_8 + Choice_3_5_9\n",
" = 1\n",
"\n",
"_C141: Choice_3_6_1 + Choice_3_6_2 + Choice_3_6_3 + Choice_3_6_4\n",
" + Choice_3_6_5 + Choice_3_6_6 + Choice_3_6_7 + Choice_3_6_8 + Choice_3_6_9\n",
" = 1\n",
"\n",
"_C142: Choice_3_7_1 + Choice_3_7_2 + Choice_3_7_3 + Choice_3_7_4\n",
" + Choice_3_7_5 + Choice_3_7_6 + Choice_3_7_7 + Choice_3_7_8 + Choice_3_7_9\n",
" = 1\n",
"\n",
"_C143: Choice_3_8_1 + Choice_3_8_2 + Choice_3_8_3 + Choice_3_8_4\n",
" + Choice_3_8_5 + Choice_3_8_6 + Choice_3_8_7 + Choice_3_8_8 + Choice_3_8_9\n",
" = 1\n",
"\n",
"_C144: Choice_3_9_1 + Choice_3_9_2 + Choice_3_9_3 + Choice_3_9_4\n",
" + Choice_3_9_5 + Choice_3_9_6 + Choice_3_9_7 + Choice_3_9_8 + Choice_3_9_9\n",
" = 1\n",
"\n",
"_C145: Choice_3_1_1 + Choice_3_2_1 + Choice_3_3_1 + Choice_3_4_1\n",
" + Choice_3_5_1 + Choice_3_6_1 + Choice_3_7_1 + Choice_3_8_1 + Choice_3_9_1\n",
" = 1\n",
"\n",
"_C146: Choice_3_1_2 + Choice_3_2_2 + Choice_3_3_2 + Choice_3_4_2\n",
" + Choice_3_5_2 + Choice_3_6_2 + Choice_3_7_2 + Choice_3_8_2 + Choice_3_9_2\n",
" = 1\n",
"\n",
"_C147: Choice_3_1_3 + Choice_3_2_3 + Choice_3_3_3 + Choice_3_4_3\n",
" + Choice_3_5_3 + Choice_3_6_3 + Choice_3_7_3 + Choice_3_8_3 + Choice_3_9_3\n",
" = 1\n",
"\n",
"_C148: Choice_3_1_4 + Choice_3_2_4 + Choice_3_3_4 + Choice_3_4_4\n",
" + Choice_3_5_4 + Choice_3_6_4 + Choice_3_7_4 + Choice_3_8_4 + Choice_3_9_4\n",
" = 1\n",
"\n",
"_C149: Choice_3_1_5 + Choice_3_2_5 + Choice_3_3_5 + Choice_3_4_5\n",
" + Choice_3_5_5 + Choice_3_6_5 + Choice_3_7_5 + Choice_3_8_5 + Choice_3_9_5\n",
" = 1\n",
"\n",
"_C150: Choice_3_1_6 + Choice_3_2_6 + Choice_3_3_6 + Choice_3_4_6\n",
" + Choice_3_5_6 + Choice_3_6_6 + Choice_3_7_6 + Choice_3_8_6 + Choice_3_9_6\n",
" = 1\n",
"\n",
"_C151: Choice_3_1_7 + Choice_3_2_7 + Choice_3_3_7 + Choice_3_4_7\n",
" + Choice_3_5_7 + Choice_3_6_7 + Choice_3_7_7 + Choice_3_8_7 + Choice_3_9_7\n",
" = 1\n",
"\n",
"_C152: Choice_3_1_8 + Choice_3_2_8 + Choice_3_3_8 + Choice_3_4_8\n",
" + Choice_3_5_8 + Choice_3_6_8 + Choice_3_7_8 + Choice_3_8_8 + Choice_3_9_8\n",
" = 1\n",
"\n",
"_C153: Choice_3_1_9 + Choice_3_2_9 + Choice_3_3_9 + Choice_3_4_9\n",
" + Choice_3_5_9 + Choice_3_6_9 + Choice_3_7_9 + Choice_3_8_9 + Choice_3_9_9\n",
" = 1\n",
"\n",
"_C154: Choice_3_1_1 + Choice_3_1_2 + Choice_3_1_3 + Choice_3_2_1\n",
" + Choice_3_2_2 + Choice_3_2_3 + Choice_3_3_1 + Choice_3_3_2 + Choice_3_3_3\n",
" = 1\n",
"\n",
"_C155: Choice_3_1_4 + Choice_3_1_5 + Choice_3_1_6 + Choice_3_2_4\n",
" + Choice_3_2_5 + Choice_3_2_6 + Choice_3_3_4 + Choice_3_3_5 + Choice_3_3_6\n",
" = 1\n",
"\n",
"_C156: Choice_3_1_7 + Choice_3_1_8 + Choice_3_1_9 + Choice_3_2_7\n",
" + Choice_3_2_8 + Choice_3_2_9 + Choice_3_3_7 + Choice_3_3_8 + Choice_3_3_9\n",
" = 1\n",
"\n",
"_C157: Choice_3_4_1 + Choice_3_4_2 + Choice_3_4_3 + Choice_3_5_1\n",
" + Choice_3_5_2 + Choice_3_5_3 + Choice_3_6_1 + Choice_3_6_2 + Choice_3_6_3\n",
" = 1\n",
"\n",
"_C158: Choice_3_4_4 + Choice_3_4_5 + Choice_3_4_6 + Choice_3_5_4\n",
" + Choice_3_5_5 + Choice_3_5_6 + Choice_3_6_4 + Choice_3_6_5 + Choice_3_6_6\n",
" = 1\n",
"\n",
"_C159: Choice_3_4_7 + Choice_3_4_8 + Choice_3_4_9 + Choice_3_5_7\n",
" + Choice_3_5_8 + Choice_3_5_9 + Choice_3_6_7 + Choice_3_6_8 + Choice_3_6_9\n",
" = 1\n",
"\n",
"_C160: Choice_3_7_1 + Choice_3_7_2 + Choice_3_7_3 + Choice_3_8_1\n",
" + Choice_3_8_2 + Choice_3_8_3 + Choice_3_9_1 + Choice_3_9_2 + Choice_3_9_3\n",
" = 1\n",
"\n",
"_C161: Choice_3_7_4 + Choice_3_7_5 + Choice_3_7_6 + Choice_3_8_4\n",
" + Choice_3_8_5 + Choice_3_8_6 + Choice_3_9_4 + Choice_3_9_5 + Choice_3_9_6\n",
" = 1\n",
"\n",
"_C162: Choice_3_7_7 + Choice_3_7_8 + Choice_3_7_9 + Choice_3_8_7\n",
" + Choice_3_8_8 + Choice_3_8_9 + Choice_3_9_7 + Choice_3_9_8 + Choice_3_9_9\n",
" = 1\n",
"\n",
"_C163: Choice_4_1_1 + Choice_4_1_2 + Choice_4_1_3 + Choice_4_1_4\n",
" + Choice_4_1_5 + Choice_4_1_6 + Choice_4_1_7 + Choice_4_1_8 + Choice_4_1_9\n",
" = 1\n",
"\n",
"_C164: Choice_4_2_1 + Choice_4_2_2 + Choice_4_2_3 + Choice_4_2_4\n",
" + Choice_4_2_5 + Choice_4_2_6 + Choice_4_2_7 + Choice_4_2_8 + Choice_4_2_9\n",
" = 1\n",
"\n",
"_C165: Choice_4_3_1 + Choice_4_3_2 + Choice_4_3_3 + Choice_4_3_4\n",
" + Choice_4_3_5 + Choice_4_3_6 + Choice_4_3_7 + Choice_4_3_8 + Choice_4_3_9\n",
" = 1\n",
"\n",
"_C166: Choice_4_4_1 + Choice_4_4_2 + Choice_4_4_3 + Choice_4_4_4\n",
" + Choice_4_4_5 + Choice_4_4_6 + Choice_4_4_7 + Choice_4_4_8 + Choice_4_4_9\n",
" = 1\n",
"\n",
"_C167: Choice_4_5_1 + Choice_4_5_2 + Choice_4_5_3 + Choice_4_5_4\n",
" + Choice_4_5_5 + Choice_4_5_6 + Choice_4_5_7 + Choice_4_5_8 + Choice_4_5_9\n",
" = 1\n",
"\n",
"_C168: Choice_4_6_1 + Choice_4_6_2 + Choice_4_6_3 + Choice_4_6_4\n",
" + Choice_4_6_5 + Choice_4_6_6 + Choice_4_6_7 + Choice_4_6_8 + Choice_4_6_9\n",
" = 1\n",
"\n",
"_C169: Choice_4_7_1 + Choice_4_7_2 + Choice_4_7_3 + Choice_4_7_4\n",
" + Choice_4_7_5 + Choice_4_7_6 + Choice_4_7_7 + Choice_4_7_8 + Choice_4_7_9\n",
" = 1\n",
"\n",
"_C170: Choice_4_8_1 + Choice_4_8_2 + Choice_4_8_3 + Choice_4_8_4\n",
" + Choice_4_8_5 + Choice_4_8_6 + Choice_4_8_7 + Choice_4_8_8 + Choice_4_8_9\n",
" = 1\n",
"\n",
"_C171: Choice_4_9_1 + Choice_4_9_2 + Choice_4_9_3 + Choice_4_9_4\n",
" + Choice_4_9_5 + Choice_4_9_6 + Choice_4_9_7 + Choice_4_9_8 + Choice_4_9_9\n",
" = 1\n",
"\n",
"_C172: Choice_4_1_1 + Choice_4_2_1 + Choice_4_3_1 + Choice_4_4_1\n",
" + Choice_4_5_1 + Choice_4_6_1 + Choice_4_7_1 + Choice_4_8_1 + Choice_4_9_1\n",
" = 1\n",
"\n",
"_C173: Choice_4_1_2 + Choice_4_2_2 + Choice_4_3_2 + Choice_4_4_2\n",
" + Choice_4_5_2 + Choice_4_6_2 + Choice_4_7_2 + Choice_4_8_2 + Choice_4_9_2\n",
" = 1\n",
"\n",
"_C174: Choice_4_1_3 + Choice_4_2_3 + Choice_4_3_3 + Choice_4_4_3\n",
" + Choice_4_5_3 + Choice_4_6_3 + Choice_4_7_3 + Choice_4_8_3 + Choice_4_9_3\n",
" = 1\n",
"\n",
"_C175: Choice_4_1_4 + Choice_4_2_4 + Choice_4_3_4 + Choice_4_4_4\n",
" + Choice_4_5_4 + Choice_4_6_4 + Choice_4_7_4 + Choice_4_8_4 + Choice_4_9_4\n",
" = 1\n",
"\n",
"_C176: Choice_4_1_5 + Choice_4_2_5 + Choice_4_3_5 + Choice_4_4_5\n",
" + Choice_4_5_5 + Choice_4_6_5 + Choice_4_7_5 + Choice_4_8_5 + Choice_4_9_5\n",
" = 1\n",
"\n",
"_C177: Choice_4_1_6 + Choice_4_2_6 + Choice_4_3_6 + Choice_4_4_6\n",
" + Choice_4_5_6 + Choice_4_6_6 + Choice_4_7_6 + Choice_4_8_6 + Choice_4_9_6\n",
" = 1\n",
"\n",
"_C178: Choice_4_1_7 + Choice_4_2_7 + Choice_4_3_7 + Choice_4_4_7\n",
" + Choice_4_5_7 + Choice_4_6_7 + Choice_4_7_7 + Choice_4_8_7 + Choice_4_9_7\n",
" = 1\n",
"\n",
"_C179: Choice_4_1_8 + Choice_4_2_8 + Choice_4_3_8 + Choice_4_4_8\n",
" + Choice_4_5_8 + Choice_4_6_8 + Choice_4_7_8 + Choice_4_8_8 + Choice_4_9_8\n",
" = 1\n",
"\n",
"_C180: Choice_4_1_9 + Choice_4_2_9 + Choice_4_3_9 + Choice_4_4_9\n",
" + Choice_4_5_9 + Choice_4_6_9 + Choice_4_7_9 + Choice_4_8_9 + Choice_4_9_9\n",
" = 1\n",
"\n",
"_C181: Choice_4_1_1 + Choice_4_1_2 + Choice_4_1_3 + Choice_4_2_1\n",
" + Choice_4_2_2 + Choice_4_2_3 + Choice_4_3_1 + Choice_4_3_2 + Choice_4_3_3\n",
" = 1\n",
"\n",
"_C182: Choice_4_1_4 + Choice_4_1_5 + Choice_4_1_6 + Choice_4_2_4\n",
" + Choice_4_2_5 + Choice_4_2_6 + Choice_4_3_4 + Choice_4_3_5 + Choice_4_3_6\n",
" = 1\n",
"\n",
"_C183: Choice_4_1_7 + Choice_4_1_8 + Choice_4_1_9 + Choice_4_2_7\n",
" + Choice_4_2_8 + Choice_4_2_9 + Choice_4_3_7 + Choice_4_3_8 + Choice_4_3_9\n",
" = 1\n",
"\n",
"_C184: Choice_4_4_1 + Choice_4_4_2 + Choice_4_4_3 + Choice_4_5_1\n",
" + Choice_4_5_2 + Choice_4_5_3 + Choice_4_6_1 + Choice_4_6_2 + Choice_4_6_3\n",
" = 1\n",
"\n",
"_C185: Choice_4_4_4 + Choice_4_4_5 + Choice_4_4_6 + Choice_4_5_4\n",
" + Choice_4_5_5 + Choice_4_5_6 + Choice_4_6_4 + Choice_4_6_5 + Choice_4_6_6\n",
" = 1\n",
"\n",
"_C186: Choice_4_4_7 + Choice_4_4_8 + Choice_4_4_9 + Choice_4_5_7\n",
" + Choice_4_5_8 + Choice_4_5_9 + Choice_4_6_7 + Choice_4_6_8 + Choice_4_6_9\n",
" = 1\n",
"\n",
"_C187: Choice_4_7_1 + Choice_4_7_2 + Choice_4_7_3 + Choice_4_8_1\n",
" + Choice_4_8_2 + Choice_4_8_3 + Choice_4_9_1 + Choice_4_9_2 + Choice_4_9_3\n",
" = 1\n",
"\n",
"_C188: Choice_4_7_4 + Choice_4_7_5 + Choice_4_7_6 + Choice_4_8_4\n",
" + Choice_4_8_5 + Choice_4_8_6 + Choice_4_9_4 + Choice_4_9_5 + Choice_4_9_6\n",
" = 1\n",
"\n",
"_C189: Choice_4_7_7 + Choice_4_7_8 + Choice_4_7_9 + Choice_4_8_7\n",
" + Choice_4_8_8 + Choice_4_8_9 + Choice_4_9_7 + Choice_4_9_8 + Choice_4_9_9\n",
" = 1\n",
"\n",
"_C190: Choice_5_1_1 + Choice_5_1_2 + Choice_5_1_3 + Choice_5_1_4\n",
" + Choice_5_1_5 + Choice_5_1_6 + Choice_5_1_7 + Choice_5_1_8 + Choice_5_1_9\n",
" = 1\n",
"\n",
"_C191: Choice_5_2_1 + Choice_5_2_2 + Choice_5_2_3 + Choice_5_2_4\n",
" + Choice_5_2_5 + Choice_5_2_6 + Choice_5_2_7 + Choice_5_2_8 + Choice_5_2_9\n",
" = 1\n",
"\n",
"_C192: Choice_5_3_1 + Choice_5_3_2 + Choice_5_3_3 + Choice_5_3_4\n",
" + Choice_5_3_5 + Choice_5_3_6 + Choice_5_3_7 + Choice_5_3_8 + Choice_5_3_9\n",
" = 1\n",
"\n",
"_C193: Choice_5_4_1 + Choice_5_4_2 + Choice_5_4_3 + Choice_5_4_4\n",
" + Choice_5_4_5 + Choice_5_4_6 + Choice_5_4_7 + Choice_5_4_8 + Choice_5_4_9\n",
" = 1\n",
"\n",
"_C194: Choice_5_5_1 + Choice_5_5_2 + Choice_5_5_3 + Choice_5_5_4\n",
" + Choice_5_5_5 + Choice_5_5_6 + Choice_5_5_7 + Choice_5_5_8 + Choice_5_5_9\n",
" = 1\n",
"\n",
"_C195: Choice_5_6_1 + Choice_5_6_2 + Choice_5_6_3 + Choice_5_6_4\n",
" + Choice_5_6_5 + Choice_5_6_6 + Choice_5_6_7 + Choice_5_6_8 + Choice_5_6_9\n",
" = 1\n",
"\n",
"_C196: Choice_5_7_1 + Choice_5_7_2 + Choice_5_7_3 + Choice_5_7_4\n",
" + Choice_5_7_5 + Choice_5_7_6 + Choice_5_7_7 + Choice_5_7_8 + Choice_5_7_9\n",
" = 1\n",
"\n",
"_C197: Choice_5_8_1 + Choice_5_8_2 + Choice_5_8_3 + Choice_5_8_4\n",
" + Choice_5_8_5 + Choice_5_8_6 + Choice_5_8_7 + Choice_5_8_8 + Choice_5_8_9\n",
" = 1\n",
"\n",
"_C198: Choice_5_9_1 + Choice_5_9_2 + Choice_5_9_3 + Choice_5_9_4\n",
" + Choice_5_9_5 + Choice_5_9_6 + Choice_5_9_7 + Choice_5_9_8 + Choice_5_9_9\n",
" = 1\n",
"\n",
"_C199: Choice_5_1_1 + Choice_5_2_1 + Choice_5_3_1 + Choice_5_4_1\n",
" + Choice_5_5_1 + Choice_5_6_1 + Choice_5_7_1 + Choice_5_8_1 + Choice_5_9_1\n",
" = 1\n",
"\n",
"_C200: Choice_5_1_2 + Choice_5_2_2 + Choice_5_3_2 + Choice_5_4_2\n",
" + Choice_5_5_2 + Choice_5_6_2 + Choice_5_7_2 + Choice_5_8_2 + Choice_5_9_2\n",
" = 1\n",
"\n",
"_C201: Choice_5_1_3 + Choice_5_2_3 + Choice_5_3_3 + Choice_5_4_3\n",
" + Choice_5_5_3 + Choice_5_6_3 + Choice_5_7_3 + Choice_5_8_3 + Choice_5_9_3\n",
" = 1\n",
"\n",
"_C202: Choice_5_1_4 + Choice_5_2_4 + Choice_5_3_4 + Choice_5_4_4\n",
" + Choice_5_5_4 + Choice_5_6_4 + Choice_5_7_4 + Choice_5_8_4 + Choice_5_9_4\n",
" = 1\n",
"\n",
"_C203: Choice_5_1_5 + Choice_5_2_5 + Choice_5_3_5 + Choice_5_4_5\n",
" + Choice_5_5_5 + Choice_5_6_5 + Choice_5_7_5 + Choice_5_8_5 + Choice_5_9_5\n",
" = 1\n",
"\n",
"_C204: Choice_5_1_6 + Choice_5_2_6 + Choice_5_3_6 + Choice_5_4_6\n",
" + Choice_5_5_6 + Choice_5_6_6 + Choice_5_7_6 + Choice_5_8_6 + Choice_5_9_6\n",
" = 1\n",
"\n",
"_C205: Choice_5_1_7 + Choice_5_2_7 + Choice_5_3_7 + Choice_5_4_7\n",
" + Choice_5_5_7 + Choice_5_6_7 + Choice_5_7_7 + Choice_5_8_7 + Choice_5_9_7\n",
" = 1\n",
"\n",
"_C206: Choice_5_1_8 + Choice_5_2_8 + Choice_5_3_8 + Choice_5_4_8\n",
" + Choice_5_5_8 + Choice_5_6_8 + Choice_5_7_8 + Choice_5_8_8 + Choice_5_9_8\n",
" = 1\n",
"\n",
"_C207: Choice_5_1_9 + Choice_5_2_9 + Choice_5_3_9 + Choice_5_4_9\n",
" + Choice_5_5_9 + Choice_5_6_9 + Choice_5_7_9 + Choice_5_8_9 + Choice_5_9_9\n",
" = 1\n",
"\n",
"_C208: Choice_5_1_1 + Choice_5_1_2 + Choice_5_1_3 + Choice_5_2_1\n",
" + Choice_5_2_2 + Choice_5_2_3 + Choice_5_3_1 + Choice_5_3_2 + Choice_5_3_3\n",
" = 1\n",
"\n",
"_C209: Choice_5_1_4 + Choice_5_1_5 + Choice_5_1_6 + Choice_5_2_4\n",
" + Choice_5_2_5 + Choice_5_2_6 + Choice_5_3_4 + Choice_5_3_5 + Choice_5_3_6\n",
" = 1\n",
"\n",
"_C210: Choice_5_1_7 + Choice_5_1_8 + Choice_5_1_9 + Choice_5_2_7\n",
" + Choice_5_2_8 + Choice_5_2_9 + Choice_5_3_7 + Choice_5_3_8 + Choice_5_3_9\n",
" = 1\n",
"\n",
"_C211: Choice_5_4_1 + Choice_5_4_2 + Choice_5_4_3 + Choice_5_5_1\n",
" + Choice_5_5_2 + Choice_5_5_3 + Choice_5_6_1 + Choice_5_6_2 + Choice_5_6_3\n",
" = 1\n",
"\n",
"_C212: Choice_5_4_4 + Choice_5_4_5 + Choice_5_4_6 + Choice_5_5_4\n",
" + Choice_5_5_5 + Choice_5_5_6 + Choice_5_6_4 + Choice_5_6_5 + Choice_5_6_6\n",
" = 1\n",
"\n",
"_C213: Choice_5_4_7 + Choice_5_4_8 + Choice_5_4_9 + Choice_5_5_7\n",
" + Choice_5_5_8 + Choice_5_5_9 + Choice_5_6_7 + Choice_5_6_8 + Choice_5_6_9\n",
" = 1\n",
"\n",
"_C214: Choice_5_7_1 + Choice_5_7_2 + Choice_5_7_3 + Choice_5_8_1\n",
" + Choice_5_8_2 + Choice_5_8_3 + Choice_5_9_1 + Choice_5_9_2 + Choice_5_9_3\n",
" = 1\n",
"\n",
"_C215: Choice_5_7_4 + Choice_5_7_5 + Choice_5_7_6 + Choice_5_8_4\n",
" + Choice_5_8_5 + Choice_5_8_6 + Choice_5_9_4 + Choice_5_9_5 + Choice_5_9_6\n",
" = 1\n",
"\n",
"_C216: Choice_5_7_7 + Choice_5_7_8 + Choice_5_7_9 + Choice_5_8_7\n",
" + Choice_5_8_8 + Choice_5_8_9 + Choice_5_9_7 + Choice_5_9_8 + Choice_5_9_9\n",
" = 1\n",
"\n",
"_C217: Choice_6_1_1 + Choice_6_1_2 + Choice_6_1_3 + Choice_6_1_4\n",
" + Choice_6_1_5 + Choice_6_1_6 + Choice_6_1_7 + Choice_6_1_8 + Choice_6_1_9\n",
" = 1\n",
"\n",
"_C218: Choice_6_2_1 + Choice_6_2_2 + Choice_6_2_3 + Choice_6_2_4\n",
" + Choice_6_2_5 + Choice_6_2_6 + Choice_6_2_7 + Choice_6_2_8 + Choice_6_2_9\n",
" = 1\n",
"\n",
"_C219: Choice_6_3_1 + Choice_6_3_2 + Choice_6_3_3 + Choice_6_3_4\n",
" + Choice_6_3_5 + Choice_6_3_6 + Choice_6_3_7 + Choice_6_3_8 + Choice_6_3_9\n",
" = 1\n",
"\n",
"_C220: Choice_6_4_1 + Choice_6_4_2 + Choice_6_4_3 + Choice_6_4_4\n",
" + Choice_6_4_5 + Choice_6_4_6 + Choice_6_4_7 + Choice_6_4_8 + Choice_6_4_9\n",
" = 1\n",
"\n",
"_C221: Choice_6_5_1 + Choice_6_5_2 + Choice_6_5_3 + Choice_6_5_4\n",
" + Choice_6_5_5 + Choice_6_5_6 + Choice_6_5_7 + Choice_6_5_8 + Choice_6_5_9\n",
" = 1\n",
"\n",
"_C222: Choice_6_6_1 + Choice_6_6_2 + Choice_6_6_3 + Choice_6_6_4\n",
" + Choice_6_6_5 + Choice_6_6_6 + Choice_6_6_7 + Choice_6_6_8 + Choice_6_6_9\n",
" = 1\n",
"\n",
"_C223: Choice_6_7_1 + Choice_6_7_2 + Choice_6_7_3 + Choice_6_7_4\n",
" + Choice_6_7_5 + Choice_6_7_6 + Choice_6_7_7 + Choice_6_7_8 + Choice_6_7_9\n",
" = 1\n",
"\n",
"_C224: Choice_6_8_1 + Choice_6_8_2 + Choice_6_8_3 + Choice_6_8_4\n",
" + Choice_6_8_5 + Choice_6_8_6 + Choice_6_8_7 + Choice_6_8_8 + Choice_6_8_9\n",
" = 1\n",
"\n",
"_C225: Choice_6_9_1 + Choice_6_9_2 + Choice_6_9_3 + Choice_6_9_4\n",
" + Choice_6_9_5 + Choice_6_9_6 + Choice_6_9_7 + Choice_6_9_8 + Choice_6_9_9\n",
" = 1\n",
"\n",
"_C226: Choice_6_1_1 + Choice_6_2_1 + Choice_6_3_1 + Choice_6_4_1\n",
" + Choice_6_5_1 + Choice_6_6_1 + Choice_6_7_1 + Choice_6_8_1 + Choice_6_9_1\n",
" = 1\n",
"\n",
"_C227: Choice_6_1_2 + Choice_6_2_2 + Choice_6_3_2 + Choice_6_4_2\n",
" + Choice_6_5_2 + Choice_6_6_2 + Choice_6_7_2 + Choice_6_8_2 + Choice_6_9_2\n",
" = 1\n",
"\n",
"_C228: Choice_6_1_3 + Choice_6_2_3 + Choice_6_3_3 + Choice_6_4_3\n",
" + Choice_6_5_3 + Choice_6_6_3 + Choice_6_7_3 + Choice_6_8_3 + Choice_6_9_3\n",
" = 1\n",
"\n",
"_C229: Choice_6_1_4 + Choice_6_2_4 + Choice_6_3_4 + Choice_6_4_4\n",
" + Choice_6_5_4 + Choice_6_6_4 + Choice_6_7_4 + Choice_6_8_4 + Choice_6_9_4\n",
" = 1\n",
"\n",
"_C230: Choice_6_1_5 + Choice_6_2_5 + Choice_6_3_5 + Choice_6_4_5\n",
" + Choice_6_5_5 + Choice_6_6_5 + Choice_6_7_5 + Choice_6_8_5 + Choice_6_9_5\n",
" = 1\n",
"\n",
"_C231: Choice_6_1_6 + Choice_6_2_6 + Choice_6_3_6 + Choice_6_4_6\n",
" + Choice_6_5_6 + Choice_6_6_6 + Choice_6_7_6 + Choice_6_8_6 + Choice_6_9_6\n",
" = 1\n",
"\n",
"_C232: Choice_6_1_7 + Choice_6_2_7 + Choice_6_3_7 + Choice_6_4_7\n",
" + Choice_6_5_7 + Choice_6_6_7 + Choice_6_7_7 + Choice_6_8_7 + Choice_6_9_7\n",
" = 1\n",
"\n",
"_C233: Choice_6_1_8 + Choice_6_2_8 + Choice_6_3_8 + Choice_6_4_8\n",
" + Choice_6_5_8 + Choice_6_6_8 + Choice_6_7_8 + Choice_6_8_8 + Choice_6_9_8\n",
" = 1\n",
"\n",
"_C234: Choice_6_1_9 + Choice_6_2_9 + Choice_6_3_9 + Choice_6_4_9\n",
" + Choice_6_5_9 + Choice_6_6_9 + Choice_6_7_9 + Choice_6_8_9 + Choice_6_9_9\n",
" = 1\n",
"\n",
"_C235: Choice_6_1_1 + Choice_6_1_2 + Choice_6_1_3 + Choice_6_2_1\n",
" + Choice_6_2_2 + Choice_6_2_3 + Choice_6_3_1 + Choice_6_3_2 + Choice_6_3_3\n",
" = 1\n",
"\n",
"_C236: Choice_6_1_4 + Choice_6_1_5 + Choice_6_1_6 + Choice_6_2_4\n",
" + Choice_6_2_5 + Choice_6_2_6 + Choice_6_3_4 + Choice_6_3_5 + Choice_6_3_6\n",
" = 1\n",
"\n",
"_C237: Choice_6_1_7 + Choice_6_1_8 + Choice_6_1_9 + Choice_6_2_7\n",
" + Choice_6_2_8 + Choice_6_2_9 + Choice_6_3_7 + Choice_6_3_8 + Choice_6_3_9\n",
" = 1\n",
"\n",
"_C238: Choice_6_4_1 + Choice_6_4_2 + Choice_6_4_3 + Choice_6_5_1\n",
" + Choice_6_5_2 + Choice_6_5_3 + Choice_6_6_1 + Choice_6_6_2 + Choice_6_6_3\n",
" = 1\n",
"\n",
"_C239: Choice_6_4_4 + Choice_6_4_5 + Choice_6_4_6 + Choice_6_5_4\n",
" + Choice_6_5_5 + Choice_6_5_6 + Choice_6_6_4 + Choice_6_6_5 + Choice_6_6_6\n",
" = 1\n",
"\n",
"_C240: Choice_6_4_7 + Choice_6_4_8 + Choice_6_4_9 + Choice_6_5_7\n",
" + Choice_6_5_8 + Choice_6_5_9 + Choice_6_6_7 + Choice_6_6_8 + Choice_6_6_9\n",
" = 1\n",
"\n",
"_C241: Choice_6_7_1 + Choice_6_7_2 + Choice_6_7_3 + Choice_6_8_1\n",
" + Choice_6_8_2 + Choice_6_8_3 + Choice_6_9_1 + Choice_6_9_2 + Choice_6_9_3\n",
" = 1\n",
"\n",
"_C242: Choice_6_7_4 + Choice_6_7_5 + Choice_6_7_6 + Choice_6_8_4\n",
" + Choice_6_8_5 + Choice_6_8_6 + Choice_6_9_4 + Choice_6_9_5 + Choice_6_9_6\n",
" = 1\n",
"\n",
"_C243: Choice_6_7_7 + Choice_6_7_8 + Choice_6_7_9 + Choice_6_8_7\n",
" + Choice_6_8_8 + Choice_6_8_9 + Choice_6_9_7 + Choice_6_9_8 + Choice_6_9_9\n",
" = 1\n",
"\n",
"_C244: Choice_7_1_1 + Choice_7_1_2 + Choice_7_1_3 + Choice_7_1_4\n",
" + Choice_7_1_5 + Choice_7_1_6 + Choice_7_1_7 + Choice_7_1_8 + Choice_7_1_9\n",
" = 1\n",
"\n",
"_C245: Choice_7_2_1 + Choice_7_2_2 + Choice_7_2_3 + Choice_7_2_4\n",
" + Choice_7_2_5 + Choice_7_2_6 + Choice_7_2_7 + Choice_7_2_8 + Choice_7_2_9\n",
" = 1\n",
"\n",
"_C246: Choice_7_3_1 + Choice_7_3_2 + Choice_7_3_3 + Choice_7_3_4\n",
" + Choice_7_3_5 + Choice_7_3_6 + Choice_7_3_7 + Choice_7_3_8 + Choice_7_3_9\n",
" = 1\n",
"\n",
"_C247: Choice_7_4_1 + Choice_7_4_2 + Choice_7_4_3 + Choice_7_4_4\n",
" + Choice_7_4_5 + Choice_7_4_6 + Choice_7_4_7 + Choice_7_4_8 + Choice_7_4_9\n",
" = 1\n",
"\n",
"_C248: Choice_7_5_1 + Choice_7_5_2 + Choice_7_5_3 + Choice_7_5_4\n",
" + Choice_7_5_5 + Choice_7_5_6 + Choice_7_5_7 + Choice_7_5_8 + Choice_7_5_9\n",
" = 1\n",
"\n",
"_C249: Choice_7_6_1 + Choice_7_6_2 + Choice_7_6_3 + Choice_7_6_4\n",
" + Choice_7_6_5 + Choice_7_6_6 + Choice_7_6_7 + Choice_7_6_8 + Choice_7_6_9\n",
" = 1\n",
"\n",
"_C250: Choice_7_7_1 + Choice_7_7_2 + Choice_7_7_3 + Choice_7_7_4\n",
" + Choice_7_7_5 + Choice_7_7_6 + Choice_7_7_7 + Choice_7_7_8 + Choice_7_7_9\n",
" = 1\n",
"\n",
"_C251: Choice_7_8_1 + Choice_7_8_2 + Choice_7_8_3 + Choice_7_8_4\n",
" + Choice_7_8_5 + Choice_7_8_6 + Choice_7_8_7 + Choice_7_8_8 + Choice_7_8_9\n",
" = 1\n",
"\n",
"_C252: Choice_7_9_1 + Choice_7_9_2 + Choice_7_9_3 + Choice_7_9_4\n",
" + Choice_7_9_5 + Choice_7_9_6 + Choice_7_9_7 + Choice_7_9_8 + Choice_7_9_9\n",
" = 1\n",
"\n",
"_C253: Choice_7_1_1 + Choice_7_2_1 + Choice_7_3_1 + Choice_7_4_1\n",
" + Choice_7_5_1 + Choice_7_6_1 + Choice_7_7_1 + Choice_7_8_1 + Choice_7_9_1\n",
" = 1\n",
"\n",
"_C254: Choice_7_1_2 + Choice_7_2_2 + Choice_7_3_2 + Choice_7_4_2\n",
" + Choice_7_5_2 + Choice_7_6_2 + Choice_7_7_2 + Choice_7_8_2 + Choice_7_9_2\n",
" = 1\n",
"\n",
"_C255: Choice_7_1_3 + Choice_7_2_3 + Choice_7_3_3 + Choice_7_4_3\n",
" + Choice_7_5_3 + Choice_7_6_3 + Choice_7_7_3 + Choice_7_8_3 + Choice_7_9_3\n",
" = 1\n",
"\n",
"_C256: Choice_7_1_4 + Choice_7_2_4 + Choice_7_3_4 + Choice_7_4_4\n",
" + Choice_7_5_4 + Choice_7_6_4 + Choice_7_7_4 + Choice_7_8_4 + Choice_7_9_4\n",
" = 1\n",
"\n",
"_C257: Choice_7_1_5 + Choice_7_2_5 + Choice_7_3_5 + Choice_7_4_5\n",
" + Choice_7_5_5 + Choice_7_6_5 + Choice_7_7_5 + Choice_7_8_5 + Choice_7_9_5\n",
" = 1\n",
"\n",
"_C258: Choice_7_1_6 + Choice_7_2_6 + Choice_7_3_6 + Choice_7_4_6\n",
" + Choice_7_5_6 + Choice_7_6_6 + Choice_7_7_6 + Choice_7_8_6 + Choice_7_9_6\n",
" = 1\n",
"\n",
"_C259: Choice_7_1_7 + Choice_7_2_7 + Choice_7_3_7 + Choice_7_4_7\n",
" + Choice_7_5_7 + Choice_7_6_7 + Choice_7_7_7 + Choice_7_8_7 + Choice_7_9_7\n",
" = 1\n",
"\n",
"_C260: Choice_7_1_8 + Choice_7_2_8 + Choice_7_3_8 + Choice_7_4_8\n",
" + Choice_7_5_8 + Choice_7_6_8 + Choice_7_7_8 + Choice_7_8_8 + Choice_7_9_8\n",
" = 1\n",
"\n",
"_C261: Choice_7_1_9 + Choice_7_2_9 + Choice_7_3_9 + Choice_7_4_9\n",
" + Choice_7_5_9 + Choice_7_6_9 + Choice_7_7_9 + Choice_7_8_9 + Choice_7_9_9\n",
" = 1\n",
"\n",
"_C262: Choice_7_1_1 + Choice_7_1_2 + Choice_7_1_3 + Choice_7_2_1\n",
" + Choice_7_2_2 + Choice_7_2_3 + Choice_7_3_1 + Choice_7_3_2 + Choice_7_3_3\n",
" = 1\n",
"\n",
"_C263: Choice_7_1_4 + Choice_7_1_5 + Choice_7_1_6 + Choice_7_2_4\n",
" + Choice_7_2_5 + Choice_7_2_6 + Choice_7_3_4 + Choice_7_3_5 + Choice_7_3_6\n",
" = 1\n",
"\n",
"_C264: Choice_7_1_7 + Choice_7_1_8 + Choice_7_1_9 + Choice_7_2_7\n",
" + Choice_7_2_8 + Choice_7_2_9 + Choice_7_3_7 + Choice_7_3_8 + Choice_7_3_9\n",
" = 1\n",
"\n",
"_C265: Choice_7_4_1 + Choice_7_4_2 + Choice_7_4_3 + Choice_7_5_1\n",
" + Choice_7_5_2 + Choice_7_5_3 + Choice_7_6_1 + Choice_7_6_2 + Choice_7_6_3\n",
" = 1\n",
"\n",
"_C266: Choice_7_4_4 + Choice_7_4_5 + Choice_7_4_6 + Choice_7_5_4\n",
" + Choice_7_5_5 + Choice_7_5_6 + Choice_7_6_4 + Choice_7_6_5 + Choice_7_6_6\n",
" = 1\n",
"\n",
"_C267: Choice_7_4_7 + Choice_7_4_8 + Choice_7_4_9 + Choice_7_5_7\n",
" + Choice_7_5_8 + Choice_7_5_9 + Choice_7_6_7 + Choice_7_6_8 + Choice_7_6_9\n",
" = 1\n",
"\n",
"_C268: Choice_7_7_1 + Choice_7_7_2 + Choice_7_7_3 + Choice_7_8_1\n",
" + Choice_7_8_2 + Choice_7_8_3 + Choice_7_9_1 + Choice_7_9_2 + Choice_7_9_3\n",
" = 1\n",
"\n",
"_C269: Choice_7_7_4 + Choice_7_7_5 + Choice_7_7_6 + Choice_7_8_4\n",
" + Choice_7_8_5 + Choice_7_8_6 + Choice_7_9_4 + Choice_7_9_5 + Choice_7_9_6\n",
" = 1\n",
"\n",
"_C270: Choice_7_7_7 + Choice_7_7_8 + Choice_7_7_9 + Choice_7_8_7\n",
" + Choice_7_8_8 + Choice_7_8_9 + Choice_7_9_7 + Choice_7_9_8 + Choice_7_9_9\n",
" = 1\n",
"\n",
"_C271: Choice_8_1_1 + Choice_8_1_2 + Choice_8_1_3 + Choice_8_1_4\n",
" + Choice_8_1_5 + Choice_8_1_6 + Choice_8_1_7 + Choice_8_1_8 + Choice_8_1_9\n",
" = 1\n",
"\n",
"_C272: Choice_8_2_1 + Choice_8_2_2 + Choice_8_2_3 + Choice_8_2_4\n",
" + Choice_8_2_5 + Choice_8_2_6 + Choice_8_2_7 + Choice_8_2_8 + Choice_8_2_9\n",
" = 1\n",
"\n",
"_C273: Choice_8_3_1 + Choice_8_3_2 + Choice_8_3_3 + Choice_8_3_4\n",
" + Choice_8_3_5 + Choice_8_3_6 + Choice_8_3_7 + Choice_8_3_8 + Choice_8_3_9\n",
" = 1\n",
"\n",
"_C274: Choice_8_4_1 + Choice_8_4_2 + Choice_8_4_3 + Choice_8_4_4\n",
" + Choice_8_4_5 + Choice_8_4_6 + Choice_8_4_7 + Choice_8_4_8 + Choice_8_4_9\n",
" = 1\n",
"\n",
"_C275: Choice_8_5_1 + Choice_8_5_2 + Choice_8_5_3 + Choice_8_5_4\n",
" + Choice_8_5_5 + Choice_8_5_6 + Choice_8_5_7 + Choice_8_5_8 + Choice_8_5_9\n",
" = 1\n",
"\n",
"_C276: Choice_8_6_1 + Choice_8_6_2 + Choice_8_6_3 + Choice_8_6_4\n",
" + Choice_8_6_5 + Choice_8_6_6 + Choice_8_6_7 + Choice_8_6_8 + Choice_8_6_9\n",
" = 1\n",
"\n",
"_C277: Choice_8_7_1 + Choice_8_7_2 + Choice_8_7_3 + Choice_8_7_4\n",
" + Choice_8_7_5 + Choice_8_7_6 + Choice_8_7_7 + Choice_8_7_8 + Choice_8_7_9\n",
" = 1\n",
"\n",
"_C278: Choice_8_8_1 + Choice_8_8_2 + Choice_8_8_3 + Choice_8_8_4\n",
" + Choice_8_8_5 + Choice_8_8_6 + Choice_8_8_7 + Choice_8_8_8 + Choice_8_8_9\n",
" = 1\n",
"\n",
"_C279: Choice_8_9_1 + Choice_8_9_2 + Choice_8_9_3 + Choice_8_9_4\n",
" + Choice_8_9_5 + Choice_8_9_6 + Choice_8_9_7 + Choice_8_9_8 + Choice_8_9_9\n",
" = 1\n",
"\n",
"_C280: Choice_8_1_1 + Choice_8_2_1 + Choice_8_3_1 + Choice_8_4_1\n",
" + Choice_8_5_1 + Choice_8_6_1 + Choice_8_7_1 + Choice_8_8_1 + Choice_8_9_1\n",
" = 1\n",
"\n",
"_C281: Choice_8_1_2 + Choice_8_2_2 + Choice_8_3_2 + Choice_8_4_2\n",
" + Choice_8_5_2 + Choice_8_6_2 + Choice_8_7_2 + Choice_8_8_2 + Choice_8_9_2\n",
" = 1\n",
"\n",
"_C282: Choice_8_1_3 + Choice_8_2_3 + Choice_8_3_3 + Choice_8_4_3\n",
" + Choice_8_5_3 + Choice_8_6_3 + Choice_8_7_3 + Choice_8_8_3 + Choice_8_9_3\n",
" = 1\n",
"\n",
"_C283: Choice_8_1_4 + Choice_8_2_4 + Choice_8_3_4 + Choice_8_4_4\n",
" + Choice_8_5_4 + Choice_8_6_4 + Choice_8_7_4 + Choice_8_8_4 + Choice_8_9_4\n",
" = 1\n",
"\n",
"_C284: Choice_8_1_5 + Choice_8_2_5 + Choice_8_3_5 + Choice_8_4_5\n",
" + Choice_8_5_5 + Choice_8_6_5 + Choice_8_7_5 + Choice_8_8_5 + Choice_8_9_5\n",
" = 1\n",
"\n",
"_C285: Choice_8_1_6 + Choice_8_2_6 + Choice_8_3_6 + Choice_8_4_6\n",
" + Choice_8_5_6 + Choice_8_6_6 + Choice_8_7_6 + Choice_8_8_6 + Choice_8_9_6\n",
" = 1\n",
"\n",
"_C286: Choice_8_1_7 + Choice_8_2_7 + Choice_8_3_7 + Choice_8_4_7\n",
" + Choice_8_5_7 + Choice_8_6_7 + Choice_8_7_7 + Choice_8_8_7 + Choice_8_9_7\n",
" = 1\n",
"\n",
"_C287: Choice_8_1_8 + Choice_8_2_8 + Choice_8_3_8 + Choice_8_4_8\n",
" + Choice_8_5_8 + Choice_8_6_8 + Choice_8_7_8 + Choice_8_8_8 + Choice_8_9_8\n",
" = 1\n",
"\n",
"_C288: Choice_8_1_9 + Choice_8_2_9 + Choice_8_3_9 + Choice_8_4_9\n",
" + Choice_8_5_9 + Choice_8_6_9 + Choice_8_7_9 + Choice_8_8_9 + Choice_8_9_9\n",
" = 1\n",
"\n",
"_C289: Choice_8_1_1 + Choice_8_1_2 + Choice_8_1_3 + Choice_8_2_1\n",
" + Choice_8_2_2 + Choice_8_2_3 + Choice_8_3_1 + Choice_8_3_2 + Choice_8_3_3\n",
" = 1\n",
"\n",
"_C290: Choice_8_1_4 + Choice_8_1_5 + Choice_8_1_6 + Choice_8_2_4\n",
" + Choice_8_2_5 + Choice_8_2_6 + Choice_8_3_4 + Choice_8_3_5 + Choice_8_3_6\n",
" = 1\n",
"\n",
"_C291: Choice_8_1_7 + Choice_8_1_8 + Choice_8_1_9 + Choice_8_2_7\n",
" + Choice_8_2_8 + Choice_8_2_9 + Choice_8_3_7 + Choice_8_3_8 + Choice_8_3_9\n",
" = 1\n",
"\n",
"_C292: Choice_8_4_1 + Choice_8_4_2 + Choice_8_4_3 + Choice_8_5_1\n",
" + Choice_8_5_2 + Choice_8_5_3 + Choice_8_6_1 + Choice_8_6_2 + Choice_8_6_3\n",
" = 1\n",
"\n",
"_C293: Choice_8_4_4 + Choice_8_4_5 + Choice_8_4_6 + Choice_8_5_4\n",
" + Choice_8_5_5 + Choice_8_5_6 + Choice_8_6_4 + Choice_8_6_5 + Choice_8_6_6\n",
" = 1\n",
"\n",
"_C294: Choice_8_4_7 + Choice_8_4_8 + Choice_8_4_9 + Choice_8_5_7\n",
" + Choice_8_5_8 + Choice_8_5_9 + Choice_8_6_7 + Choice_8_6_8 + Choice_8_6_9\n",
" = 1\n",
"\n",
"_C295: Choice_8_7_1 + Choice_8_7_2 + Choice_8_7_3 + Choice_8_8_1\n",
" + Choice_8_8_2 + Choice_8_8_3 + Choice_8_9_1 + Choice_8_9_2 + Choice_8_9_3\n",
" = 1\n",
"\n",
"_C296: Choice_8_7_4 + Choice_8_7_5 + Choice_8_7_6 + Choice_8_8_4\n",
" + Choice_8_8_5 + Choice_8_8_6 + Choice_8_9_4 + Choice_8_9_5 + Choice_8_9_6\n",
" = 1\n",
"\n",
"_C297: Choice_8_7_7 + Choice_8_7_8 + Choice_8_7_9 + Choice_8_8_7\n",
" + Choice_8_8_8 + Choice_8_8_9 + Choice_8_9_7 + Choice_8_9_8 + Choice_8_9_9\n",
" = 1\n",
"\n",
"_C298: Choice_9_1_1 + Choice_9_1_2 + Choice_9_1_3 + Choice_9_1_4\n",
" + Choice_9_1_5 + Choice_9_1_6 + Choice_9_1_7 + Choice_9_1_8 + Choice_9_1_9\n",
" = 1\n",
"\n",
"_C299: Choice_9_2_1 + Choice_9_2_2 + Choice_9_2_3 + Choice_9_2_4\n",
" + Choice_9_2_5 + Choice_9_2_6 + Choice_9_2_7 + Choice_9_2_8 + Choice_9_2_9\n",
" = 1\n",
"\n",
"_C300: Choice_9_3_1 + Choice_9_3_2 + Choice_9_3_3 + Choice_9_3_4\n",
" + Choice_9_3_5 + Choice_9_3_6 + Choice_9_3_7 + Choice_9_3_8 + Choice_9_3_9\n",
" = 1\n",
"\n",
"_C301: Choice_9_4_1 + Choice_9_4_2 + Choice_9_4_3 + Choice_9_4_4\n",
" + Choice_9_4_5 + Choice_9_4_6 + Choice_9_4_7 + Choice_9_4_8 + Choice_9_4_9\n",
" = 1\n",
"\n",
"_C302: Choice_9_5_1 + Choice_9_5_2 + Choice_9_5_3 + Choice_9_5_4\n",
" + Choice_9_5_5 + Choice_9_5_6 + Choice_9_5_7 + Choice_9_5_8 + Choice_9_5_9\n",
" = 1\n",
"\n",
"_C303: Choice_9_6_1 + Choice_9_6_2 + Choice_9_6_3 + Choice_9_6_4\n",
" + Choice_9_6_5 + Choice_9_6_6 + Choice_9_6_7 + Choice_9_6_8 + Choice_9_6_9\n",
" = 1\n",
"\n",
"_C304: Choice_9_7_1 + Choice_9_7_2 + Choice_9_7_3 + Choice_9_7_4\n",
" + Choice_9_7_5 + Choice_9_7_6 + Choice_9_7_7 + Choice_9_7_8 + Choice_9_7_9\n",
" = 1\n",
"\n",
"_C305: Choice_9_8_1 + Choice_9_8_2 + Choice_9_8_3 + Choice_9_8_4\n",
" + Choice_9_8_5 + Choice_9_8_6 + Choice_9_8_7 + Choice_9_8_8 + Choice_9_8_9\n",
" = 1\n",
"\n",
"_C306: Choice_9_9_1 + Choice_9_9_2 + Choice_9_9_3 + Choice_9_9_4\n",
" + Choice_9_9_5 + Choice_9_9_6 + Choice_9_9_7 + Choice_9_9_8 + Choice_9_9_9\n",
" = 1\n",
"\n",
"_C307: Choice_9_1_1 + Choice_9_2_1 + Choice_9_3_1 + Choice_9_4_1\n",
" + Choice_9_5_1 + Choice_9_6_1 + Choice_9_7_1 + Choice_9_8_1 + Choice_9_9_1\n",
" = 1\n",
"\n",
"_C308: Choice_9_1_2 + Choice_9_2_2 + Choice_9_3_2 + Choice_9_4_2\n",
" + Choice_9_5_2 + Choice_9_6_2 + Choice_9_7_2 + Choice_9_8_2 + Choice_9_9_2\n",
" = 1\n",
"\n",
"_C309: Choice_9_1_3 + Choice_9_2_3 + Choice_9_3_3 + Choice_9_4_3\n",
" + Choice_9_5_3 + Choice_9_6_3 + Choice_9_7_3 + Choice_9_8_3 + Choice_9_9_3\n",
" = 1\n",
"\n",
"_C310: Choice_9_1_4 + Choice_9_2_4 + Choice_9_3_4 + Choice_9_4_4\n",
" + Choice_9_5_4 + Choice_9_6_4 + Choice_9_7_4 + Choice_9_8_4 + Choice_9_9_4\n",
" = 1\n",
"\n",
"_C311: Choice_9_1_5 + Choice_9_2_5 + Choice_9_3_5 + Choice_9_4_5\n",
" + Choice_9_5_5 + Choice_9_6_5 + Choice_9_7_5 + Choice_9_8_5 + Choice_9_9_5\n",
" = 1\n",
"\n",
"_C312: Choice_9_1_6 + Choice_9_2_6 + Choice_9_3_6 + Choice_9_4_6\n",
" + Choice_9_5_6 + Choice_9_6_6 + Choice_9_7_6 + Choice_9_8_6 + Choice_9_9_6\n",
" = 1\n",
"\n",
"_C313: Choice_9_1_7 + Choice_9_2_7 + Choice_9_3_7 + Choice_9_4_7\n",
" + Choice_9_5_7 + Choice_9_6_7 + Choice_9_7_7 + Choice_9_8_7 + Choice_9_9_7\n",
" = 1\n",
"\n",
"_C314: Choice_9_1_8 + Choice_9_2_8 + Choice_9_3_8 + Choice_9_4_8\n",
" + Choice_9_5_8 + Choice_9_6_8 + Choice_9_7_8 + Choice_9_8_8 + Choice_9_9_8\n",
" = 1\n",
"\n",
"_C315: Choice_9_1_9 + Choice_9_2_9 + Choice_9_3_9 + Choice_9_4_9\n",
" + Choice_9_5_9 + Choice_9_6_9 + Choice_9_7_9 + Choice_9_8_9 + Choice_9_9_9\n",
" = 1\n",
"\n",
"_C316: Choice_9_1_1 + Choice_9_1_2 + Choice_9_1_3 + Choice_9_2_1\n",
" + Choice_9_2_2 + Choice_9_2_3 + Choice_9_3_1 + Choice_9_3_2 + Choice_9_3_3\n",
" = 1\n",
"\n",
"_C317: Choice_9_1_4 + Choice_9_1_5 + Choice_9_1_6 + Choice_9_2_4\n",
" + Choice_9_2_5 + Choice_9_2_6 + Choice_9_3_4 + Choice_9_3_5 + Choice_9_3_6\n",
" = 1\n",
"\n",
"_C318: Choice_9_1_7 + Choice_9_1_8 + Choice_9_1_9 + Choice_9_2_7\n",
" + Choice_9_2_8 + Choice_9_2_9 + Choice_9_3_7 + Choice_9_3_8 + Choice_9_3_9\n",
" = 1\n",
"\n",
"_C319: Choice_9_4_1 + Choice_9_4_2 + Choice_9_4_3 + Choice_9_5_1\n",
" + Choice_9_5_2 + Choice_9_5_3 + Choice_9_6_1 + Choice_9_6_2 + Choice_9_6_3\n",
" = 1\n",
"\n",
"_C320: Choice_9_4_4 + Choice_9_4_5 + Choice_9_4_6 + Choice_9_5_4\n",
" + Choice_9_5_5 + Choice_9_5_6 + Choice_9_6_4 + Choice_9_6_5 + Choice_9_6_6\n",
" = 1\n",
"\n",
"_C321: Choice_9_4_7 + Choice_9_4_8 + Choice_9_4_9 + Choice_9_5_7\n",
" + Choice_9_5_8 + Choice_9_5_9 + Choice_9_6_7 + Choice_9_6_8 + Choice_9_6_9\n",
" = 1\n",
"\n",
"_C322: Choice_9_7_1 + Choice_9_7_2 + Choice_9_7_3 + Choice_9_8_1\n",
" + Choice_9_8_2 + Choice_9_8_3 + Choice_9_9_1 + Choice_9_9_2 + Choice_9_9_3\n",
" = 1\n",
"\n",
"_C323: Choice_9_7_4 + Choice_9_7_5 + Choice_9_7_6 + Choice_9_8_4\n",
" + Choice_9_8_5 + Choice_9_8_6 + Choice_9_9_4 + Choice_9_9_5 + Choice_9_9_6\n",
" = 1\n",
"\n",
"_C324: Choice_9_7_7 + Choice_9_7_8 + Choice_9_7_9 + Choice_9_8_7\n",
" + Choice_9_8_8 + Choice_9_8_9 + Choice_9_9_7 + Choice_9_9_8 + Choice_9_9_9\n",
" = 1\n",
"\n",
"VARIABLES\n",
"Choice_1_1_1 <= 1 Continuous\n",
"Choice_1_1_2 <= 1 Continuous\n",
"Choice_1_1_3 <= 1 Continuous\n",
"Choice_1_1_4 <= 1 Continuous\n",
"Choice_1_1_5 <= 1 Continuous\n",
"Choice_1_1_6 <= 1 Continuous\n",
"Choice_1_1_7 <= 1 Continuous\n",
"Choice_1_1_8 <= 1 Continuous\n",
"Choice_1_1_9 <= 1 Continuous\n",
"Choice_1_2_1 <= 1 Continuous\n",
"Choice_1_2_2 <= 1 Continuous\n",
"Choice_1_2_3 <= 1 Continuous\n",
"Choice_1_2_4 <= 1 Continuous\n",
"Choice_1_2_5 <= 1 Continuous\n",
"Choice_1_2_6 <= 1 Continuous\n",
"Choice_1_2_7 <= 1 Continuous\n",
"Choice_1_2_8 <= 1 Continuous\n",
"Choice_1_2_9 <= 1 Continuous\n",
"Choice_1_3_1 <= 1 Continuous\n",
"Choice_1_3_2 <= 1 Continuous\n",
"Choice_1_3_3 <= 1 Continuous\n",
"Choice_1_3_4 <= 1 Continuous\n",
"Choice_1_3_5 <= 1 Continuous\n",
"Choice_1_3_6 <= 1 Continuous\n",
"Choice_1_3_7 <= 1 Continuous\n",
"Choice_1_3_8 <= 1 Continuous\n",
"Choice_1_3_9 <= 1 Continuous\n",
"Choice_1_4_1 <= 1 Continuous\n",
"Choice_1_4_2 <= 1 Continuous\n",
"Choice_1_4_3 <= 1 Continuous\n",
"Choice_1_4_4 <= 1 Continuous\n",
"Choice_1_4_5 <= 1 Continuous\n",
"Choice_1_4_6 <= 1 Continuous\n",
"Choice_1_4_7 <= 1 Continuous\n",
"Choice_1_4_8 <= 1 Continuous\n",
"Choice_1_4_9 <= 1 Continuous\n",
"Choice_1_5_1 <= 1 Continuous\n",
"Choice_1_5_2 <= 1 Continuous\n",
"Choice_1_5_3 <= 1 Continuous\n",
"Choice_1_5_4 <= 1 Continuous\n",
"Choice_1_5_5 <= 1 Continuous\n",
"Choice_1_5_6 <= 1 Continuous\n",
"Choice_1_5_7 <= 1 Continuous\n",
"Choice_1_5_8 <= 1 Continuous\n",
"Choice_1_5_9 <= 1 Continuous\n",
"Choice_1_6_1 <= 1 Continuous\n",
"Choice_1_6_2 <= 1 Continuous\n",
"Choice_1_6_3 <= 1 Continuous\n",
"Choice_1_6_4 <= 1 Continuous\n",
"Choice_1_6_5 <= 1 Continuous\n",
"Choice_1_6_6 <= 1 Continuous\n",
"Choice_1_6_7 <= 1 Continuous\n",
"Choice_1_6_8 <= 1 Continuous\n",
"Choice_1_6_9 <= 1 Continuous\n",
"Choice_1_7_1 <= 1 Continuous\n",
"Choice_1_7_2 <= 1 Continuous\n",
"Choice_1_7_3 <= 1 Continuous\n",
"Choice_1_7_4 <= 1 Continuous\n",
"Choice_1_7_5 <= 1 Continuous\n",
"Choice_1_7_6 <= 1 Continuous\n",
"Choice_1_7_7 <= 1 Continuous\n",
"Choice_1_7_8 <= 1 Continuous\n",
"Choice_1_7_9 <= 1 Continuous\n",
"Choice_1_8_1 <= 1 Continuous\n",
"Choice_1_8_2 <= 1 Continuous\n",
"Choice_1_8_3 <= 1 Continuous\n",
"Choice_1_8_4 <= 1 Continuous\n",
"Choice_1_8_5 <= 1 Continuous\n",
"Choice_1_8_6 <= 1 Continuous\n",
"Choice_1_8_7 <= 1 Continuous\n",
"Choice_1_8_8 <= 1 Continuous\n",
"Choice_1_8_9 <= 1 Continuous\n",
"Choice_1_9_1 <= 1 Continuous\n",
"Choice_1_9_2 <= 1 Continuous\n",
"Choice_1_9_3 <= 1 Continuous\n",
"Choice_1_9_4 <= 1 Continuous\n",
"Choice_1_9_5 <= 1 Continuous\n",
"Choice_1_9_6 <= 1 Continuous\n",
"Choice_1_9_7 <= 1 Continuous\n",
"Choice_1_9_8 <= 1 Continuous\n",
"Choice_1_9_9 <= 1 Continuous\n",
"Choice_2_1_1 <= 1 Continuous\n",
"Choice_2_1_2 <= 1 Continuous\n",
"Choice_2_1_3 <= 1 Continuous\n",
"Choice_2_1_4 <= 1 Continuous\n",
"Choice_2_1_5 <= 1 Continuous\n",
"Choice_2_1_6 <= 1 Continuous\n",
"Choice_2_1_7 <= 1 Continuous\n",
"Choice_2_1_8 <= 1 Continuous\n",
"Choice_2_1_9 <= 1 Continuous\n",
"Choice_2_2_1 <= 1 Continuous\n",
"Choice_2_2_2 <= 1 Continuous\n",
"Choice_2_2_3 <= 1 Continuous\n",
"Choice_2_2_4 <= 1 Continuous\n",
"Choice_2_2_5 <= 1 Continuous\n",
"Choice_2_2_6 <= 1 Continuous\n",
"Choice_2_2_7 <= 1 Continuous\n",
"Choice_2_2_8 <= 1 Continuous\n",
"Choice_2_2_9 <= 1 Continuous\n",
"Choice_2_3_1 <= 1 Continuous\n",
"Choice_2_3_2 <= 1 Continuous\n",
"Choice_2_3_3 <= 1 Continuous\n",
"Choice_2_3_4 <= 1 Continuous\n",
"Choice_2_3_5 <= 1 Continuous\n",
"Choice_2_3_6 <= 1 Continuous\n",
"Choice_2_3_7 <= 1 Continuous\n",
"Choice_2_3_8 <= 1 Continuous\n",
"Choice_2_3_9 <= 1 Continuous\n",
"Choice_2_4_1 <= 1 Continuous\n",
"Choice_2_4_2 <= 1 Continuous\n",
"Choice_2_4_3 <= 1 Continuous\n",
"Choice_2_4_4 <= 1 Continuous\n",
"Choice_2_4_5 <= 1 Continuous\n",
"Choice_2_4_6 <= 1 Continuous\n",
"Choice_2_4_7 <= 1 Continuous\n",
"Choice_2_4_8 <= 1 Continuous\n",
"Choice_2_4_9 <= 1 Continuous\n",
"Choice_2_5_1 <= 1 Continuous\n",
"Choice_2_5_2 <= 1 Continuous\n",
"Choice_2_5_3 <= 1 Continuous\n",
"Choice_2_5_4 <= 1 Continuous\n",
"Choice_2_5_5 <= 1 Continuous\n",
"Choice_2_5_6 <= 1 Continuous\n",
"Choice_2_5_7 <= 1 Continuous\n",
"Choice_2_5_8 <= 1 Continuous\n",
"Choice_2_5_9 <= 1 Continuous\n",
"Choice_2_6_1 <= 1 Continuous\n",
"Choice_2_6_2 <= 1 Continuous\n",
"Choice_2_6_3 <= 1 Continuous\n",
"Choice_2_6_4 <= 1 Continuous\n",
"Choice_2_6_5 <= 1 Continuous\n",
"Choice_2_6_6 <= 1 Continuous\n",
"Choice_2_6_7 <= 1 Continuous\n",
"Choice_2_6_8 <= 1 Continuous\n",
"Choice_2_6_9 <= 1 Continuous\n",
"Choice_2_7_1 <= 1 Continuous\n",
"Choice_2_7_2 <= 1 Continuous\n",
"Choice_2_7_3 <= 1 Continuous\n",
"Choice_2_7_4 <= 1 Continuous\n",
"Choice_2_7_5 <= 1 Continuous\n",
"Choice_2_7_6 <= 1 Continuous\n",
"Choice_2_7_7 <= 1 Continuous\n",
"Choice_2_7_8 <= 1 Continuous\n",
"Choice_2_7_9 <= 1 Continuous\n",
"Choice_2_8_1 <= 1 Continuous\n",
"Choice_2_8_2 <= 1 Continuous\n",
"Choice_2_8_3 <= 1 Continuous\n",
"Choice_2_8_4 <= 1 Continuous\n",
"Choice_2_8_5 <= 1 Continuous\n",
"Choice_2_8_6 <= 1 Continuous\n",
"Choice_2_8_7 <= 1 Continuous\n",
"Choice_2_8_8 <= 1 Continuous\n",
"Choice_2_8_9 <= 1 Continuous\n",
"Choice_2_9_1 <= 1 Continuous\n",
"Choice_2_9_2 <= 1 Continuous\n",
"Choice_2_9_3 <= 1 Continuous\n",
"Choice_2_9_4 <= 1 Continuous\n",
"Choice_2_9_5 <= 1 Continuous\n",
"Choice_2_9_6 <= 1 Continuous\n",
"Choice_2_9_7 <= 1 Continuous\n",
"Choice_2_9_8 <= 1 Continuous\n",
"Choice_2_9_9 <= 1 Continuous\n",
"Choice_3_1_1 <= 1 Continuous\n",
"Choice_3_1_2 <= 1 Continuous\n",
"Choice_3_1_3 <= 1 Continuous\n",
"Choice_3_1_4 <= 1 Continuous\n",
"Choice_3_1_5 <= 1 Continuous\n",
"Choice_3_1_6 <= 1 Continuous\n",
"Choice_3_1_7 <= 1 Continuous\n",
"Choice_3_1_8 <= 1 Continuous\n",
"Choice_3_1_9 <= 1 Continuous\n",
"Choice_3_2_1 <= 1 Continuous\n",
"Choice_3_2_2 <= 1 Continuous\n",
"Choice_3_2_3 <= 1 Continuous\n",
"Choice_3_2_4 <= 1 Continuous\n",
"Choice_3_2_5 <= 1 Continuous\n",
"Choice_3_2_6 <= 1 Continuous\n",
"Choice_3_2_7 <= 1 Continuous\n",
"Choice_3_2_8 <= 1 Continuous\n",
"Choice_3_2_9 <= 1 Continuous\n",
"Choice_3_3_1 <= 1 Continuous\n",
"Choice_3_3_2 <= 1 Continuous\n",
"Choice_3_3_3 <= 1 Continuous\n",
"Choice_3_3_4 <= 1 Continuous\n",
"Choice_3_3_5 <= 1 Continuous\n",
"Choice_3_3_6 <= 1 Continuous\n",
"Choice_3_3_7 <= 1 Continuous\n",
"Choice_3_3_8 <= 1 Continuous\n",
"Choice_3_3_9 <= 1 Continuous\n",
"Choice_3_4_1 <= 1 Continuous\n",
"Choice_3_4_2 <= 1 Continuous\n",
"Choice_3_4_3 <= 1 Continuous\n",
"Choice_3_4_4 <= 1 Continuous\n",
"Choice_3_4_5 <= 1 Continuous\n",
"Choice_3_4_6 <= 1 Continuous\n",
"Choice_3_4_7 <= 1 Continuous\n",
"Choice_3_4_8 <= 1 Continuous\n",
"Choice_3_4_9 <= 1 Continuous\n",
"Choice_3_5_1 <= 1 Continuous\n",
"Choice_3_5_2 <= 1 Continuous\n",
"Choice_3_5_3 <= 1 Continuous\n",
"Choice_3_5_4 <= 1 Continuous\n",
"Choice_3_5_5 <= 1 Continuous\n",
"Choice_3_5_6 <= 1 Continuous\n",
"Choice_3_5_7 <= 1 Continuous\n",
"Choice_3_5_8 <= 1 Continuous\n",
"Choice_3_5_9 <= 1 Continuous\n",
"Choice_3_6_1 <= 1 Continuous\n",
"Choice_3_6_2 <= 1 Continuous\n",
"Choice_3_6_3 <= 1 Continuous\n",
"Choice_3_6_4 <= 1 Continuous\n",
"Choice_3_6_5 <= 1 Continuous\n",
"Choice_3_6_6 <= 1 Continuous\n",
"Choice_3_6_7 <= 1 Continuous\n",
"Choice_3_6_8 <= 1 Continuous\n",
"Choice_3_6_9 <= 1 Continuous\n",
"Choice_3_7_1 <= 1 Continuous\n",
"Choice_3_7_2 <= 1 Continuous\n",
"Choice_3_7_3 <= 1 Continuous\n",
"Choice_3_7_4 <= 1 Continuous\n",
"Choice_3_7_5 <= 1 Continuous\n",
"Choice_3_7_6 <= 1 Continuous\n",
"Choice_3_7_7 <= 1 Continuous\n",
"Choice_3_7_8 <= 1 Continuous\n",
"Choice_3_7_9 <= 1 Continuous\n",
"Choice_3_8_1 <= 1 Continuous\n",
"Choice_3_8_2 <= 1 Continuous\n",
"Choice_3_8_3 <= 1 Continuous\n",
"Choice_3_8_4 <= 1 Continuous\n",
"Choice_3_8_5 <= 1 Continuous\n",
"Choice_3_8_6 <= 1 Continuous\n",
"Choice_3_8_7 <= 1 Continuous\n",
"Choice_3_8_8 <= 1 Continuous\n",
"Choice_3_8_9 <= 1 Continuous\n",
"Choice_3_9_1 <= 1 Continuous\n",
"Choice_3_9_2 <= 1 Continuous\n",
"Choice_3_9_3 <= 1 Continuous\n",
"Choice_3_9_4 <= 1 Continuous\n",
"Choice_3_9_5 <= 1 Continuous\n",
"Choice_3_9_6 <= 1 Continuous\n",
"Choice_3_9_7 <= 1 Continuous\n",
"Choice_3_9_8 <= 1 Continuous\n",
"Choice_3_9_9 <= 1 Continuous\n",
"Choice_4_1_1 <= 1 Continuous\n",
"Choice_4_1_2 <= 1 Continuous\n",
"Choice_4_1_3 <= 1 Continuous\n",
"Choice_4_1_4 <= 1 Continuous\n",
"Choice_4_1_5 <= 1 Continuous\n",
"Choice_4_1_6 <= 1 Continuous\n",
"Choice_4_1_7 <= 1 Continuous\n",
"Choice_4_1_8 <= 1 Continuous\n",
"Choice_4_1_9 <= 1 Continuous\n",
"Choice_4_2_1 <= 1 Continuous\n",
"Choice_4_2_2 <= 1 Continuous\n",
"Choice_4_2_3 <= 1 Continuous\n",
"Choice_4_2_4 <= 1 Continuous\n",
"Choice_4_2_5 <= 1 Continuous\n",
"Choice_4_2_6 <= 1 Continuous\n",
"Choice_4_2_7 <= 1 Continuous\n",
"Choice_4_2_8 <= 1 Continuous\n",
"Choice_4_2_9 <= 1 Continuous\n",
"Choice_4_3_1 <= 1 Continuous\n",
"Choice_4_3_2 <= 1 Continuous\n",
"Choice_4_3_3 <= 1 Continuous\n",
"Choice_4_3_4 <= 1 Continuous\n",
"Choice_4_3_5 <= 1 Continuous\n",
"Choice_4_3_6 <= 1 Continuous\n",
"Choice_4_3_7 <= 1 Continuous\n",
"Choice_4_3_8 <= 1 Continuous\n",
"Choice_4_3_9 <= 1 Continuous\n",
"Choice_4_4_1 <= 1 Continuous\n",
"Choice_4_4_2 <= 1 Continuous\n",
"Choice_4_4_3 <= 1 Continuous\n",
"Choice_4_4_4 <= 1 Continuous\n",
"Choice_4_4_5 <= 1 Continuous\n",
"Choice_4_4_6 <= 1 Continuous\n",
"Choice_4_4_7 <= 1 Continuous\n",
"Choice_4_4_8 <= 1 Continuous\n",
"Choice_4_4_9 <= 1 Continuous\n",
"Choice_4_5_1 <= 1 Continuous\n",
"Choice_4_5_2 <= 1 Continuous\n",
"Choice_4_5_3 <= 1 Continuous\n",
"Choice_4_5_4 <= 1 Continuous\n",
"Choice_4_5_5 <= 1 Continuous\n",
"Choice_4_5_6 <= 1 Continuous\n",
"Choice_4_5_7 <= 1 Continuous\n",
"Choice_4_5_8 <= 1 Continuous\n",
"Choice_4_5_9 <= 1 Continuous\n",
"Choice_4_6_1 <= 1 Continuous\n",
"Choice_4_6_2 <= 1 Continuous\n",
"Choice_4_6_3 <= 1 Continuous\n",
"Choice_4_6_4 <= 1 Continuous\n",
"Choice_4_6_5 <= 1 Continuous\n",
"Choice_4_6_6 <= 1 Continuous\n",
"Choice_4_6_7 <= 1 Continuous\n",
"Choice_4_6_8 <= 1 Continuous\n",
"Choice_4_6_9 <= 1 Continuous\n",
"Choice_4_7_1 <= 1 Continuous\n",
"Choice_4_7_2 <= 1 Continuous\n",
"Choice_4_7_3 <= 1 Continuous\n",
"Choice_4_7_4 <= 1 Continuous\n",
"Choice_4_7_5 <= 1 Continuous\n",
"Choice_4_7_6 <= 1 Continuous\n",
"Choice_4_7_7 <= 1 Continuous\n",
"Choice_4_7_8 <= 1 Continuous\n",
"Choice_4_7_9 <= 1 Continuous\n",
"Choice_4_8_1 <= 1 Continuous\n",
"Choice_4_8_2 <= 1 Continuous\n",
"Choice_4_8_3 <= 1 Continuous\n",
"Choice_4_8_4 <= 1 Continuous\n",
"Choice_4_8_5 <= 1 Continuous\n",
"Choice_4_8_6 <= 1 Continuous\n",
"Choice_4_8_7 <= 1 Continuous\n",
"Choice_4_8_8 <= 1 Continuous\n",
"Choice_4_8_9 <= 1 Continuous\n",
"Choice_4_9_1 <= 1 Continuous\n",
"Choice_4_9_2 <= 1 Continuous\n",
"Choice_4_9_3 <= 1 Continuous\n",
"Choice_4_9_4 <= 1 Continuous\n",
"Choice_4_9_5 <= 1 Continuous\n",
"Choice_4_9_6 <= 1 Continuous\n",
"Choice_4_9_7 <= 1 Continuous\n",
"Choice_4_9_8 <= 1 Continuous\n",
"Choice_4_9_9 <= 1 Continuous\n",
"Choice_5_1_1 <= 1 Continuous\n",
"Choice_5_1_2 <= 1 Continuous\n",
"Choice_5_1_3 <= 1 Continuous\n",
"Choice_5_1_4 <= 1 Continuous\n",
"Choice_5_1_5 <= 1 Continuous\n",
"Choice_5_1_6 <= 1 Continuous\n",
"Choice_5_1_7 <= 1 Continuous\n",
"Choice_5_1_8 <= 1 Continuous\n",
"Choice_5_1_9 <= 1 Continuous\n",
"Choice_5_2_1 <= 1 Continuous\n",
"Choice_5_2_2 <= 1 Continuous\n",
"Choice_5_2_3 <= 1 Continuous\n",
"Choice_5_2_4 <= 1 Continuous\n",
"Choice_5_2_5 <= 1 Continuous\n",
"Choice_5_2_6 <= 1 Continuous\n",
"Choice_5_2_7 <= 1 Continuous\n",
"Choice_5_2_8 <= 1 Continuous\n",
"Choice_5_2_9 <= 1 Continuous\n",
"Choice_5_3_1 <= 1 Continuous\n",
"Choice_5_3_2 <= 1 Continuous\n",
"Choice_5_3_3 <= 1 Continuous\n",
"Choice_5_3_4 <= 1 Continuous\n",
"Choice_5_3_5 <= 1 Continuous\n",
"Choice_5_3_6 <= 1 Continuous\n",
"Choice_5_3_7 <= 1 Continuous\n",
"Choice_5_3_8 <= 1 Continuous\n",
"Choice_5_3_9 <= 1 Continuous\n",
"Choice_5_4_1 <= 1 Continuous\n",
"Choice_5_4_2 <= 1 Continuous\n",
"Choice_5_4_3 <= 1 Continuous\n",
"Choice_5_4_4 <= 1 Continuous\n",
"Choice_5_4_5 <= 1 Continuous\n",
"Choice_5_4_6 <= 1 Continuous\n",
"Choice_5_4_7 <= 1 Continuous\n",
"Choice_5_4_8 <= 1 Continuous\n",
"Choice_5_4_9 <= 1 Continuous\n",
"Choice_5_5_1 <= 1 Continuous\n",
"Choice_5_5_2 <= 1 Continuous\n",
"Choice_5_5_3 <= 1 Continuous\n",
"Choice_5_5_4 <= 1 Continuous\n",
"Choice_5_5_5 <= 1 Continuous\n",
"Choice_5_5_6 <= 1 Continuous\n",
"Choice_5_5_7 <= 1 Continuous\n",
"Choice_5_5_8 <= 1 Continuous\n",
"Choice_5_5_9 <= 1 Continuous\n",
"Choice_5_6_1 <= 1 Continuous\n",
"Choice_5_6_2 <= 1 Continuous\n",
"Choice_5_6_3 <= 1 Continuous\n",
"Choice_5_6_4 <= 1 Continuous\n",
"Choice_5_6_5 <= 1 Continuous\n",
"Choice_5_6_6 <= 1 Continuous\n",
"Choice_5_6_7 <= 1 Continuous\n",
"Choice_5_6_8 <= 1 Continuous\n",
"Choice_5_6_9 <= 1 Continuous\n",
"Choice_5_7_1 <= 1 Continuous\n",
"Choice_5_7_2 <= 1 Continuous\n",
"Choice_5_7_3 <= 1 Continuous\n",
"Choice_5_7_4 <= 1 Continuous\n",
"Choice_5_7_5 <= 1 Continuous\n",
"Choice_5_7_6 <= 1 Continuous\n",
"Choice_5_7_7 <= 1 Continuous\n",
"Choice_5_7_8 <= 1 Continuous\n",
"Choice_5_7_9 <= 1 Continuous\n",
"Choice_5_8_1 <= 1 Continuous\n",
"Choice_5_8_2 <= 1 Continuous\n",
"Choice_5_8_3 <= 1 Continuous\n",
"Choice_5_8_4 <= 1 Continuous\n",
"Choice_5_8_5 <= 1 Continuous\n",
"Choice_5_8_6 <= 1 Continuous\n",
"Choice_5_8_7 <= 1 Continuous\n",
"Choice_5_8_8 <= 1 Continuous\n",
"Choice_5_8_9 <= 1 Continuous\n",
"Choice_5_9_1 <= 1 Continuous\n",
"Choice_5_9_2 <= 1 Continuous\n",
"Choice_5_9_3 <= 1 Continuous\n",
"Choice_5_9_4 <= 1 Continuous\n",
"Choice_5_9_5 <= 1 Continuous\n",
"Choice_5_9_6 <= 1 Continuous\n",
"Choice_5_9_7 <= 1 Continuous\n",
"Choice_5_9_8 <= 1 Continuous\n",
"Choice_5_9_9 <= 1 Continuous\n",
"Choice_6_1_1 <= 1 Continuous\n",
"Choice_6_1_2 <= 1 Continuous\n",
"Choice_6_1_3 <= 1 Continuous\n",
"Choice_6_1_4 <= 1 Continuous\n",
"Choice_6_1_5 <= 1 Continuous\n",
"Choice_6_1_6 <= 1 Continuous\n",
"Choice_6_1_7 <= 1 Continuous\n",
"Choice_6_1_8 <= 1 Continuous\n",
"Choice_6_1_9 <= 1 Continuous\n",
"Choice_6_2_1 <= 1 Continuous\n",
"Choice_6_2_2 <= 1 Continuous\n",
"Choice_6_2_3 <= 1 Continuous\n",
"Choice_6_2_4 <= 1 Continuous\n",
"Choice_6_2_5 <= 1 Continuous\n",
"Choice_6_2_6 <= 1 Continuous\n",
"Choice_6_2_7 <= 1 Continuous\n",
"Choice_6_2_8 <= 1 Continuous\n",
"Choice_6_2_9 <= 1 Continuous\n",
"Choice_6_3_1 <= 1 Continuous\n",
"Choice_6_3_2 <= 1 Continuous\n",
"Choice_6_3_3 <= 1 Continuous\n",
"Choice_6_3_4 <= 1 Continuous\n",
"Choice_6_3_5 <= 1 Continuous\n",
"Choice_6_3_6 <= 1 Continuous\n",
"Choice_6_3_7 <= 1 Continuous\n",
"Choice_6_3_8 <= 1 Continuous\n",
"Choice_6_3_9 <= 1 Continuous\n",
"Choice_6_4_1 <= 1 Continuous\n",
"Choice_6_4_2 <= 1 Continuous\n",
"Choice_6_4_3 <= 1 Continuous\n",
"Choice_6_4_4 <= 1 Continuous\n",
"Choice_6_4_5 <= 1 Continuous\n",
"Choice_6_4_6 <= 1 Continuous\n",
"Choice_6_4_7 <= 1 Continuous\n",
"Choice_6_4_8 <= 1 Continuous\n",
"Choice_6_4_9 <= 1 Continuous\n",
"Choice_6_5_1 <= 1 Continuous\n",
"Choice_6_5_2 <= 1 Continuous\n",
"Choice_6_5_3 <= 1 Continuous\n",
"Choice_6_5_4 <= 1 Continuous\n",
"Choice_6_5_5 <= 1 Continuous\n",
"Choice_6_5_6 <= 1 Continuous\n",
"Choice_6_5_7 <= 1 Continuous\n",
"Choice_6_5_8 <= 1 Continuous\n",
"Choice_6_5_9 <= 1 Continuous\n",
"Choice_6_6_1 <= 1 Continuous\n",
"Choice_6_6_2 <= 1 Continuous\n",
"Choice_6_6_3 <= 1 Continuous\n",
"Choice_6_6_4 <= 1 Continuous\n",
"Choice_6_6_5 <= 1 Continuous\n",
"Choice_6_6_6 <= 1 Continuous\n",
"Choice_6_6_7 <= 1 Continuous\n",
"Choice_6_6_8 <= 1 Continuous\n",
"Choice_6_6_9 <= 1 Continuous\n",
"Choice_6_7_1 <= 1 Continuous\n",
"Choice_6_7_2 <= 1 Continuous\n",
"Choice_6_7_3 <= 1 Continuous\n",
"Choice_6_7_4 <= 1 Continuous\n",
"Choice_6_7_5 <= 1 Continuous\n",
"Choice_6_7_6 <= 1 Continuous\n",
"Choice_6_7_7 <= 1 Continuous\n",
"Choice_6_7_8 <= 1 Continuous\n",
"Choice_6_7_9 <= 1 Continuous\n",
"Choice_6_8_1 <= 1 Continuous\n",
"Choice_6_8_2 <= 1 Continuous\n",
"Choice_6_8_3 <= 1 Continuous\n",
"Choice_6_8_4 <= 1 Continuous\n",
"Choice_6_8_5 <= 1 Continuous\n",
"Choice_6_8_6 <= 1 Continuous\n",
"Choice_6_8_7 <= 1 Continuous\n",
"Choice_6_8_8 <= 1 Continuous\n",
"Choice_6_8_9 <= 1 Continuous\n",
"Choice_6_9_1 <= 1 Continuous\n",
"Choice_6_9_2 <= 1 Continuous\n",
"Choice_6_9_3 <= 1 Continuous\n",
"Choice_6_9_4 <= 1 Continuous\n",
"Choice_6_9_5 <= 1 Continuous\n",
"Choice_6_9_6 <= 1 Continuous\n",
"Choice_6_9_7 <= 1 Continuous\n",
"Choice_6_9_8 <= 1 Continuous\n",
"Choice_6_9_9 <= 1 Continuous\n",
"Choice_7_1_1 <= 1 Continuous\n",
"Choice_7_1_2 <= 1 Continuous\n",
"Choice_7_1_3 <= 1 Continuous\n",
"Choice_7_1_4 <= 1 Continuous\n",
"Choice_7_1_5 <= 1 Continuous\n",
"Choice_7_1_6 <= 1 Continuous\n",
"Choice_7_1_7 <= 1 Continuous\n",
"Choice_7_1_8 <= 1 Continuous\n",
"Choice_7_1_9 <= 1 Continuous\n",
"Choice_7_2_1 <= 1 Continuous\n",
"Choice_7_2_2 <= 1 Continuous\n",
"Choice_7_2_3 <= 1 Continuous\n",
"Choice_7_2_4 <= 1 Continuous\n",
"Choice_7_2_5 <= 1 Continuous\n",
"Choice_7_2_6 <= 1 Continuous\n",
"Choice_7_2_7 <= 1 Continuous\n",
"Choice_7_2_8 <= 1 Continuous\n",
"Choice_7_2_9 <= 1 Continuous\n",
"Choice_7_3_1 <= 1 Continuous\n",
"Choice_7_3_2 <= 1 Continuous\n",
"Choice_7_3_3 <= 1 Continuous\n",
"Choice_7_3_4 <= 1 Continuous\n",
"Choice_7_3_5 <= 1 Continuous\n",
"Choice_7_3_6 <= 1 Continuous\n",
"Choice_7_3_7 <= 1 Continuous\n",
"Choice_7_3_8 <= 1 Continuous\n",
"Choice_7_3_9 <= 1 Continuous\n",
"Choice_7_4_1 <= 1 Continuous\n",
"Choice_7_4_2 <= 1 Continuous\n",
"Choice_7_4_3 <= 1 Continuous\n",
"Choice_7_4_4 <= 1 Continuous\n",
"Choice_7_4_5 <= 1 Continuous\n",
"Choice_7_4_6 <= 1 Continuous\n",
"Choice_7_4_7 <= 1 Continuous\n",
"Choice_7_4_8 <= 1 Continuous\n",
"Choice_7_4_9 <= 1 Continuous\n",
"Choice_7_5_1 <= 1 Continuous\n",
"Choice_7_5_2 <= 1 Continuous\n",
"Choice_7_5_3 <= 1 Continuous\n",
"Choice_7_5_4 <= 1 Continuous\n",
"Choice_7_5_5 <= 1 Continuous\n",
"Choice_7_5_6 <= 1 Continuous\n",
"Choice_7_5_7 <= 1 Continuous\n",
"Choice_7_5_8 <= 1 Continuous\n",
"Choice_7_5_9 <= 1 Continuous\n",
"Choice_7_6_1 <= 1 Continuous\n",
"Choice_7_6_2 <= 1 Continuous\n",
"Choice_7_6_3 <= 1 Continuous\n",
"Choice_7_6_4 <= 1 Continuous\n",
"Choice_7_6_5 <= 1 Continuous\n",
"Choice_7_6_6 <= 1 Continuous\n",
"Choice_7_6_7 <= 1 Continuous\n",
"Choice_7_6_8 <= 1 Continuous\n",
"Choice_7_6_9 <= 1 Continuous\n",
"Choice_7_7_1 <= 1 Continuous\n",
"Choice_7_7_2 <= 1 Continuous\n",
"Choice_7_7_3 <= 1 Continuous\n",
"Choice_7_7_4 <= 1 Continuous\n",
"Choice_7_7_5 <= 1 Continuous\n",
"Choice_7_7_6 <= 1 Continuous\n",
"Choice_7_7_7 <= 1 Continuous\n",
"Choice_7_7_8 <= 1 Continuous\n",
"Choice_7_7_9 <= 1 Continuous\n",
"Choice_7_8_1 <= 1 Continuous\n",
"Choice_7_8_2 <= 1 Continuous\n",
"Choice_7_8_3 <= 1 Continuous\n",
"Choice_7_8_4 <= 1 Continuous\n",
"Choice_7_8_5 <= 1 Continuous\n",
"Choice_7_8_6 <= 1 Continuous\n",
"Choice_7_8_7 <= 1 Continuous\n",
"Choice_7_8_8 <= 1 Continuous\n",
"Choice_7_8_9 <= 1 Continuous\n",
"Choice_7_9_1 <= 1 Continuous\n",
"Choice_7_9_2 <= 1 Continuous\n",
"Choice_7_9_3 <= 1 Continuous\n",
"Choice_7_9_4 <= 1 Continuous\n",
"Choice_7_9_5 <= 1 Continuous\n",
"Choice_7_9_6 <= 1 Continuous\n",
"Choice_7_9_7 <= 1 Continuous\n",
"Choice_7_9_8 <= 1 Continuous\n",
"Choice_7_9_9 <= 1 Continuous\n",
"Choice_8_1_1 <= 1 Continuous\n",
"Choice_8_1_2 <= 1 Continuous\n",
"Choice_8_1_3 <= 1 Continuous\n",
"Choice_8_1_4 <= 1 Continuous\n",
"Choice_8_1_5 <= 1 Continuous\n",
"Choice_8_1_6 <= 1 Continuous\n",
"Choice_8_1_7 <= 1 Continuous\n",
"Choice_8_1_8 <= 1 Continuous\n",
"Choice_8_1_9 <= 1 Continuous\n",
"Choice_8_2_1 <= 1 Continuous\n",
"Choice_8_2_2 <= 1 Continuous\n",
"Choice_8_2_3 <= 1 Continuous\n",
"Choice_8_2_4 <= 1 Continuous\n",
"Choice_8_2_5 <= 1 Continuous\n",
"Choice_8_2_6 <= 1 Continuous\n",
"Choice_8_2_7 <= 1 Continuous\n",
"Choice_8_2_8 <= 1 Continuous\n",
"Choice_8_2_9 <= 1 Continuous\n",
"Choice_8_3_1 <= 1 Continuous\n",
"Choice_8_3_2 <= 1 Continuous\n",
"Choice_8_3_3 <= 1 Continuous\n",
"Choice_8_3_4 <= 1 Continuous\n",
"Choice_8_3_5 <= 1 Continuous\n",
"Choice_8_3_6 <= 1 Continuous\n",
"Choice_8_3_7 <= 1 Continuous\n",
"Choice_8_3_8 <= 1 Continuous\n",
"Choice_8_3_9 <= 1 Continuous\n",
"Choice_8_4_1 <= 1 Continuous\n",
"Choice_8_4_2 <= 1 Continuous\n",
"Choice_8_4_3 <= 1 Continuous\n",
"Choice_8_4_4 <= 1 Continuous\n",
"Choice_8_4_5 <= 1 Continuous\n",
"Choice_8_4_6 <= 1 Continuous\n",
"Choice_8_4_7 <= 1 Continuous\n",
"Choice_8_4_8 <= 1 Continuous\n",
"Choice_8_4_9 <= 1 Continuous\n",
"Choice_8_5_1 <= 1 Continuous\n",
"Choice_8_5_2 <= 1 Continuous\n",
"Choice_8_5_3 <= 1 Continuous\n",
"Choice_8_5_4 <= 1 Continuous\n",
"Choice_8_5_5 <= 1 Continuous\n",
"Choice_8_5_6 <= 1 Continuous\n",
"Choice_8_5_7 <= 1 Continuous\n",
"Choice_8_5_8 <= 1 Continuous\n",
"Choice_8_5_9 <= 1 Continuous\n",
"Choice_8_6_1 <= 1 Continuous\n",
"Choice_8_6_2 <= 1 Continuous\n",
"Choice_8_6_3 <= 1 Continuous\n",
"Choice_8_6_4 <= 1 Continuous\n",
"Choice_8_6_5 <= 1 Continuous\n",
"Choice_8_6_6 <= 1 Continuous\n",
"Choice_8_6_7 <= 1 Continuous\n",
"Choice_8_6_8 <= 1 Continuous\n",
"Choice_8_6_9 <= 1 Continuous\n",
"Choice_8_7_1 <= 1 Continuous\n",
"Choice_8_7_2 <= 1 Continuous\n",
"Choice_8_7_3 <= 1 Continuous\n",
"Choice_8_7_4 <= 1 Continuous\n",
"Choice_8_7_5 <= 1 Continuous\n",
"Choice_8_7_6 <= 1 Continuous\n",
"Choice_8_7_7 <= 1 Continuous\n",
"Choice_8_7_8 <= 1 Continuous\n",
"Choice_8_7_9 <= 1 Continuous\n",
"Choice_8_8_1 <= 1 Continuous\n",
"Choice_8_8_2 <= 1 Continuous\n",
"Choice_8_8_3 <= 1 Continuous\n",
"Choice_8_8_4 <= 1 Continuous\n",
"Choice_8_8_5 <= 1 Continuous\n",
"Choice_8_8_6 <= 1 Continuous\n",
"Choice_8_8_7 <= 1 Continuous\n",
"Choice_8_8_8 <= 1 Continuous\n",
"Choice_8_8_9 <= 1 Continuous\n",
"Choice_8_9_1 <= 1 Continuous\n",
"Choice_8_9_2 <= 1 Continuous\n",
"Choice_8_9_3 <= 1 Continuous\n",
"Choice_8_9_4 <= 1 Continuous\n",
"Choice_8_9_5 <= 1 Continuous\n",
"Choice_8_9_6 <= 1 Continuous\n",
"Choice_8_9_7 <= 1 Continuous\n",
"Choice_8_9_8 <= 1 Continuous\n",
"Choice_8_9_9 <= 1 Continuous\n",
"Choice_9_1_1 <= 1 Continuous\n",
"Choice_9_1_2 <= 1 Continuous\n",
"Choice_9_1_3 <= 1 Continuous\n",
"Choice_9_1_4 <= 1 Continuous\n",
"Choice_9_1_5 <= 1 Continuous\n",
"Choice_9_1_6 <= 1 Continuous\n",
"Choice_9_1_7 <= 1 Continuous\n",
"Choice_9_1_8 <= 1 Continuous\n",
"Choice_9_1_9 <= 1 Continuous\n",
"Choice_9_2_1 <= 1 Continuous\n",
"Choice_9_2_2 <= 1 Continuous\n",
"Choice_9_2_3 <= 1 Continuous\n",
"Choice_9_2_4 <= 1 Continuous\n",
"Choice_9_2_5 <= 1 Continuous\n",
"Choice_9_2_6 <= 1 Continuous\n",
"Choice_9_2_7 <= 1 Continuous\n",
"Choice_9_2_8 <= 1 Continuous\n",
"Choice_9_2_9 <= 1 Continuous\n",
"Choice_9_3_1 <= 1 Continuous\n",
"Choice_9_3_2 <= 1 Continuous\n",
"Choice_9_3_3 <= 1 Continuous\n",
"Choice_9_3_4 <= 1 Continuous\n",
"Choice_9_3_5 <= 1 Continuous\n",
"Choice_9_3_6 <= 1 Continuous\n",
"Choice_9_3_7 <= 1 Continuous\n",
"Choice_9_3_8 <= 1 Continuous\n",
"Choice_9_3_9 <= 1 Continuous\n",
"Choice_9_4_1 <= 1 Continuous\n",
"Choice_9_4_2 <= 1 Continuous\n",
"Choice_9_4_3 <= 1 Continuous\n",
"Choice_9_4_4 <= 1 Continuous\n",
"Choice_9_4_5 <= 1 Continuous\n",
"Choice_9_4_6 <= 1 Continuous\n",
"Choice_9_4_7 <= 1 Continuous\n",
"Choice_9_4_8 <= 1 Continuous\n",
"Choice_9_4_9 <= 1 Continuous\n",
"Choice_9_5_1 <= 1 Continuous\n",
"Choice_9_5_2 <= 1 Continuous\n",
"Choice_9_5_3 <= 1 Continuous\n",
"Choice_9_5_4 <= 1 Continuous\n",
"Choice_9_5_5 <= 1 Continuous\n",
"Choice_9_5_6 <= 1 Continuous\n",
"Choice_9_5_7 <= 1 Continuous\n",
"Choice_9_5_8 <= 1 Continuous\n",
"Choice_9_5_9 <= 1 Continuous\n",
"Choice_9_6_1 <= 1 Continuous\n",
"Choice_9_6_2 <= 1 Continuous\n",
"Choice_9_6_3 <= 1 Continuous\n",
"Choice_9_6_4 <= 1 Continuous\n",
"Choice_9_6_5 <= 1 Continuous\n",
"Choice_9_6_6 <= 1 Continuous\n",
"Choice_9_6_7 <= 1 Continuous\n",
"Choice_9_6_8 <= 1 Continuous\n",
"Choice_9_6_9 <= 1 Continuous\n",
"Choice_9_7_1 <= 1 Continuous\n",
"Choice_9_7_2 <= 1 Continuous\n",
"Choice_9_7_3 <= 1 Continuous\n",
"Choice_9_7_4 <= 1 Continuous\n",
"Choice_9_7_5 <= 1 Continuous\n",
"Choice_9_7_6 <= 1 Continuous\n",
"Choice_9_7_7 <= 1 Continuous\n",
"Choice_9_7_8 <= 1 Continuous\n",
"Choice_9_7_9 <= 1 Continuous\n",
"Choice_9_8_1 <= 1 Continuous\n",
"Choice_9_8_2 <= 1 Continuous\n",
"Choice_9_8_3 <= 1 Continuous\n",
"Choice_9_8_4 <= 1 Continuous\n",
"Choice_9_8_5 <= 1 Continuous\n",
"Choice_9_8_6 <= 1 Continuous\n",
"Choice_9_8_7 <= 1 Continuous\n",
"Choice_9_8_8 <= 1 Continuous\n",
"Choice_9_8_9 <= 1 Continuous\n",
"Choice_9_9_1 <= 1 Continuous\n",
"Choice_9_9_2 <= 1 Continuous\n",
"Choice_9_9_3 <= 1 Continuous\n",
"Choice_9_9_4 <= 1 Continuous\n",
"Choice_9_9_5 <= 1 Continuous\n",
"Choice_9_9_6 <= 1 Continuous\n",
"Choice_9_9_7 <= 1 Continuous\n",
"Choice_9_9_8 <= 1 Continuous\n",
"Choice_9_9_9 <= 1 Continuous\n",
"__dummy = 0 Continuous\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print open(\"sudokuout2.txt\").read()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"+-------+-------+-------+\n",
"9 5 7 |\n",
"| 7 8 9 4 5 |\n",
"5 8 +-------+-------+-------+\n",
"3 2 | 5 | 6 | 5 8 1 3 |\n",
"+-------+-------+-------+\n",
"1 | 7 5 | 9 6 +-------+-------+-------+\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment