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nqueen-sat.c
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nqueen-sat.c
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#include <stdio.h>
int
min(int a, int b)
{
if (a > b)
return b ;
return a ;
}
int
main ()
{
FILE * fp = fopen("formula", "w") ;
int i, j, k ;
for (i = 1 ; i <= 8 ; i++)
for (j = 1 ; j <= 8 ; j++)
fprintf(fp,"(declare-const p%d%d Bool)\n", i, j) ;
// Q1
fprintf(fp,"; Q1\n") ;
fprintf(fp,"(assert (and ") ;
for (i = 1 ; i <= 8 ; i++) {
fprintf(fp,"(or ") ;
for (j = 1 ; j <= 8 ; j++)
fprintf(fp,"p%d%d ", i, j) ;
fprintf(fp,")") ;
}
fprintf(fp,"))\n") ;
fprintf(fp,"; Q2\n") ;
fprintf(fp,"(assert ") ;
fprintf(fp,"(and ") ;
for (i = 1 ; i <= 8 ; i++) {
fprintf(fp,"(and ") ;
for (j = 1 ; j <= 7 ; j++) {
fprintf(fp,"(and ") ;
for (k = j + 1 ; k <= 8 ; k++) {
fprintf(fp,"(not (and p%d%d p%d%d))", i, j, i, k) ;
}
fprintf(fp,")") ;
}
fprintf(fp,") ") ;
}
fprintf(fp,"))\n") ;
// Q3
fprintf(fp,"; Q3\n") ;
fprintf(fp,"(assert (and ") ;
for (j = 1 ; j <= 8 ; j++) {
fprintf(fp,"(or ") ;
for (i = 1 ; i <= 8 ; i++)
fprintf(fp,"p%d%d ", i, j) ;
fprintf(fp,")") ;
}
fprintf(fp,"))\n") ;
// Q4
fprintf(fp,"; Q4\n") ;
fprintf(fp,"(assert ") ;
fprintf(fp,"(and ") ;
for (i = 1 ; i <= 8 ; i++) {
fprintf(fp,"(and ") ;
for (j = 1 ; j <= 7 ; j++) {
fprintf(fp,"(and ") ;
for (k = j + 1 ; k <= 8 ; k++) {
fprintf(fp,"(not (and p%d%d p%d%d))", j, i, k, i) ;
}
fprintf(fp,")") ;
}
fprintf(fp,") ") ;
}
fprintf(fp,"))\n") ;
// Q5
fprintf(fp,"; Q5\n") ;
fprintf(fp,"(assert ") ;
fprintf(fp,"(and ") ;
for (i = 2 ; i <= 8 ; i++) {
fprintf(fp,"(and ") ;
for (j = 1 ; j <= 7 ; j++) {
fprintf(fp,"(and ") ;
for (k = 1 ; k <= min(i - 1, 8 - j) ; k++) {
fprintf(fp,"(not (and p%d%d p%d%d))", i, j, i - k, k + j) ;
}
fprintf(fp,")") ;
}
fprintf(fp,") ") ;
}
fprintf(fp,"))\n") ;
// Q6
fprintf(fp,"; Q6\n") ;
fprintf(fp,"(assert ") ;
fprintf(fp,"(and ") ;
for (i = 1 ; i <= 7 ; i++) {
fprintf(fp,"(and ") ;
for (j = 1 ; j <= 7 ; j++) {
fprintf(fp,"(and ") ;
for (k = 1 ; k <= min(8 - i, 8 - j) ; k++) {
fprintf(fp,"(not (and p%d%d p%d%d))", i, j, i + k, j + k) ;
}
fprintf(fp,")") ;
}
fprintf(fp,") ") ;
}
fprintf(fp,"))\n") ;
fprintf(fp,"(check-sat)\n(get-model)\n") ;
fclose(fp) ;
FILE * fin = popen("z3 formula", "r") ;
char buf[128] ;
fscanf(fin, "%s %s", buf, buf) ;
while (!feof(fin)) {
fscanf(fin, "%s", buf) ; //printf("%s ", buf) ;
fscanf(fin, "%s", buf) ; printf("%s ", buf) ;
fscanf(fin, "%s", buf) ; //printf("%s ", buf) ;
fscanf(fin, "%s", buf) ; //printf("%s ", buf) ;
fscanf(fin, "%s", buf) ; printf("%s\n", buf) ;
}
pclose(fin) ;
}