diff -r d59bea55db9b -r c445c931472f examples/sql/sudoku_odbc.mod --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/examples/sql/sudoku_odbc.mod Mon Dec 06 13:09:21 2010 +0100 @@ -0,0 +1,111 @@ +/* SUDOKU, Number Placement Puzzle */ + +/* Written in GNU MathProg by Andrew Makhorin */ + +/* This example shows how to use the table statement. + The sudoku to be solves is read from file sudoku_in.csv. + The solution is written to sudoku_out.csv. + The file format is CSV as defined in + RFC 4180 - Common Format and MIME Type for + Comma-Separated Values (CSV) Files */ + +/* Sudoku, also known as Number Place, is a logic-based placement + puzzle. The aim of the canonical puzzle is to enter a numerical + digit from 1 through 9 in each cell of a 9x9 grid made up of 3x3 + subgrids (called "regions"), starting with various digits given in + some cells (the "givens"). Each row, column, and region must contain + only one instance of each numeral. + + Example: + + +-------+-------+-------+ + | 5 3 . | . 7 . | . . . | + | 6 . . | 1 9 5 | . . . | + | . 9 8 | . . . | . 6 . | + +-------+-------+-------+ + | 8 . . | . 6 . | . . 3 | + | 4 . . | 8 . 3 | . . 1 | + | 7 . . | . 2 . | . . 6 | + +-------+-------+-------+ + | . 6 . | . . . | 2 8 . | + | . . . | 4 1 9 | . . 5 | + | . . . | . 8 . | . 7 9 | + +-------+-------+-------+ + + (From Wikipedia, the free encyclopedia.) */ +set fields dimen 2; + +param id; + +param givens{1..9, 1..9}, integer, >= 0, <= 9, default 0; +/* the "givens" */ + +table ti IN 'iODBC' + 'DSN=glpk;UID=glpk;PWD=gnu' + 'SELECT * FROM sudoku' + 'WHERE ID = ' & id : + fields <- [COL, LIN], givens ~ VAL; + +var x{i in 1..9, j in 1..9, k in 1..9}, binary; +/* x[i,j,k] = 1 means cell [i,j] is assigned number k */ + +s.t. fa{i in 1..9, j in 1..9, k in 1..9: givens[i,j] != 0}: + x[i,j,k] = (if givens[i,j] = k then 1 else 0); +/* assign pre-defined numbers using the "givens" */ + +s.t. fb{i in 1..9, j in 1..9}: sum{k in 1..9} x[i,j,k] = 1; +/* each cell must be assigned exactly one number */ + +s.t. fc{i in 1..9, k in 1..9}: sum{j in 1..9} x[i,j,k] = 1; +/* cells in the same row must be assigned distinct numbers */ + +s.t. fd{j in 1..9, k in 1..9}: sum{i in 1..9} x[i,j,k] = 1; +/* cells in the same column must be assigned distinct numbers */ + +s.t. fe{I in 1..9 by 3, J in 1..9 by 3, k in 1..9}: + sum{i in I..I+2, j in J..J+2} x[i,j,k] = 1; +/* cells in the same region must be assigned distinct numbers */ + +/* there is no need for an objective function here */ + + +solve; + +table ta {(i, j) in {i1 in 1..9} cross {i2 in 1..9}} OUT + 'iODBC' 'DSN=glpk;UID=glpk;PWD=gnu' + 'DELETE FROM sudoku_solution' + 'WHERE ID = ' & id & ';' + 'INSERT INTO sudoku_solution' + '(ID, COL, LIN, VAL)' + 'VALUES(?, ?, ?, ?);' : + id ~ ID, i ~ COL, j ~ LIN, (sum{k in 1..9} x[i,j,k] * k) ~ VAL; + +printf "\nSudoku to be solved\n"; +for {i in 1..9} +{ for {0..0: i = 1 or i = 4 or i = 7} + printf " +-------+-------+-------+\n"; + for {j in 1..9} + { for {0..0: j = 1 or j = 4 or j = 7} printf(" |"); + printf " %d", givens[i,j]; + for {0..0: j = 9} printf(" |\n"); + } + for {0..0: i = 9} + printf " +-------+-------+-------+\n"; + } +printf "\nSolution\n"; +for {i in 1..9} +{ for {0..0: i = 1 or i = 4 or i = 7} + printf " +-------+-------+-------+\n"; + for {j in 1..9} + { for {0..0: j = 1 or j = 4 or j = 7} printf(" |"); + printf " %d", sum{k in 1..9} x[i,j,k] * k; + for {0..0: j = 9} printf(" |\n"); + } + for {0..0: i = 9} + printf " +-------+-------+-------+\n"; +} + +data; + +param id := 1; +end;