void releasenode(Node* node)
{
if (node)
{
if (node->left) releasenode(node->left);
if (node->right) releasenode(node->right);
free(node);
}
}
Node *
push_negation(Node *n)
{ Node *m;
Assert(n->ntyp == NOT, n->ntyp);
switch (n->lft->ntyp) {
case TRUE:
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = FALSE;
break;
case FALSE:
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = TRUE;
break;
case NOT:
m = n->lft->lft;
releasenode(0, n->lft);
n->lft = ZN;
releasenode(0, n);
n = m;
break;
case V_OPER:
n->ntyp = U_OPER;
goto same;
case U_OPER:
n->ntyp = V_OPER;
goto same;
#ifdef NXT
case NEXT:
n->ntyp = NEXT;
n->lft->ntyp = NOT;
n->lft = push_negation(n->lft);
break;
#endif
case AND:
n->ntyp = OR;
goto same;
case OR:
n->ntyp = AND;
same: m = n->lft->rgt;
n->lft->rgt = ZN;
n->rgt = Not(m);
n->lft->ntyp = NOT;
m = n->lft;
n->lft = push_negation(m);
break;
}
return rewrite(n);
}
void
releasenode(int all_levels, Node *n)
{
if (!n) return;
if (all_levels)
{ releasenode(1, n->lft);
n->lft = ZN;
releasenode(1, n->rgt);
n->rgt = ZN;
}
tfree((void *) n);
}
Node *push_negation(Node *n, Miscellaneous *miscell, int *cnt, char *uform, int *tl_yychar)
{
Node *m;
Assert(n->ntyp == NOT, n->ntyp);
switch (n->lft->ntyp) {
case TRUE:
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = FALSE;
break;
case FALSE:
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = TRUE;
break;
case NOT:
m = n->lft->lft;
releasenode(0, n->lft);
n->lft = ZN;
releasenode(0, n);
n = m;
break;
case V_OPER:
n = switchNotTempOper(n,U_OPER, miscell, cnt, uform, tl_yychar);
break;
case U_OPER:
n = switchNotTempOper(n,V_OPER, miscell, cnt, uform, tl_yychar);
break;
case NEXT:
n = switchNotTempOper(n,WEAKNEXT, miscell, cnt, uform, tl_yychar);
break;
case WEAKNEXT:
n = switchNotTempOper(n,NEXT, miscell, cnt, uform, tl_yychar);
break;
case AND:
n = switchNotTempOper(n,OR, miscell, cnt, uform, tl_yychar);
break;
case OR:
n = switchNotTempOper(n,AND, miscell, cnt, uform, tl_yychar);
break;
}
return n;
/* return rewrite(n);
do not forget to change this in parse*/
}
void trans(Node *p)
{
if (!p || tl_errs) return;
if (tl_verbose || tl_terse) {
fprintf(tl_out, "\t/* Normlzd: ");
dump(p);
fprintf(tl_out, " */\n");
}
if (tl_terse)
return;
// Buddy might have been initialized by a third-party library.
if (!bdd_isrunning()) {
bdd_init(100000, 10000);
// Disable the default GC handler.
bdd_gbc_hook(0);
}
mk_alternating(p);
if (!tl_hoaf || tl_hoaf > 1) {
mk_generalized();
if ((!tl_spot_out || tl_spot_out > 2) && (!tl_hoaf || tl_hoaf > 2))
mk_buchi();
}
releasenode(1, p);
bdd_done();
}
Node *push_negation(Node *n)
{
Node *m;
Assert(n->ntyp == NOT, n->ntyp);
switch (n->lft->ntyp) {
case TRUE:
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = FALSE;
break;
case FALSE:
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = TRUE;
break;
case NOT:
m = n->lft->lft;
releasenode(0, n->lft);
n->lft = ZN;
releasenode(0, n);
n = m;
break;
case V_OPER:
n = switchNotTempOper(n,U_OPER);
break;
case U_OPER:
n = switchNotTempOper(n,V_OPER);
break;
case NEXT:
n = switchNotTempOper(n,WEAKNEXT);
break;
case WEAKNEXT:
n = switchNotTempOper(n,NEXT);
break;
case AND:
n = switchNotTempOper(n,OR);
break;
case OR:
n = switchNotTempOper(n,AND);
break;
}
return n;
}
static void
marknode(int tok, Node *m)
{
if (m->ntyp != tok)
{ releasenode(0, m->rgt);
m->rgt = ZN;
}
m->ntyp = -1;
}
static int
mergetrans(void)
{ State *b;
Transition *s, *t;
Node *nc; int cnt = 0;
for (b = never; b; b = b->nxt)
{ if (!b->reachable) continue;
for (s = b->trans; s; s = s->nxt)
{ if (s->redundant) continue;
for (t = s->nxt; t; t = t->nxt)
if (!t->redundant
&& !strcmp(s->name->name, t->name->name))
{ if (tl_verbose)
{ printf("===\nstate %s, trans to %s redundant\n",
b->name->name, s->name->name);
showtrans(b);
printf(" conditions ");
dump(s->cond); printf(" <-> ");
dump(t->cond); printf("\n");
}
if (!s->cond) /* same as T */
{ releasenode(1, t->cond); /* T or t */
nc = True;
} else if (!t->cond)
{ releasenode(1, s->cond);
nc = True;
} else
{ nc = combination(s->cond, t->cond);
}
t->cond = rewrite(nc);
t->merged = 1;
s->redundant = 1;
cnt++;
break;
} } }
return cnt;
}
static Node *
Prune(Node *p)
{
if (p)
switch (p->ntyp) {
case PREDICATE:
case NOT:
case FALSE:
case TRUE:
#ifdef NXT
case NEXT:
#endif
return p;
case OR:
p->lft = Prune(p->lft);
if (!p->lft)
{ releasenode(1, p->rgt);
return ZN;
}
p->rgt = Prune(p->rgt);
if (!p->rgt)
{ releasenode(1, p->lft);
return ZN;
}
return p;
case AND:
p->lft = Prune(p->lft);
if (!p->lft)
return Prune(p->rgt);
p->rgt = Prune(p->rgt);
if (!p->rgt)
return p->lft;
return p;
}
releasenode(1, p);
return ZN;
}
int main()
{
char rawbuf[4096] = {0},buf[4096] = {0},addbuf[1024] = {0};
char* tmpbuf;
#ifndef ONLINE_JUDGE
freopen("1.txt","r",stdin);
#endif
while (fgets(rawbuf,sizeof(rawbuf)-1,stdin) != NULL)
{
int leftparent = 0;
char* ret;
trimblank(rawbuf,buf);
tmpbuf = buf;
calcleftparent(tmpbuf,leftparent);
while (leftparent)
{
fgets(rawbuf,sizeof(rawbuf)-1,stdin);
trimblank(rawbuf,addbuf);
tmpbuf = addbuf;
calcleftparent(tmpbuf,leftparent);
strcat(buf,addbuf);
}
int checksum = atoi(buf);
char *nodeleftpa = strstr(buf,"(");
char *noderightpa = buf + strlen(buf)-1;
Node *root = NULL;
mknode(nodeleftpa,noderightpa,&root);
bool flag = false;
existsum(checksum,root,flag);
if (flag)
{
printf("yes\n");
}
else
{
printf("no\n");
}
releasenode(root);
}
return 0;
}
void mk_alternating(tl_Node *p) /* generates an alternating automaton for p */
{
if (tl_stats)
{
getrusage(RUSAGE_SELF, &tr_debut);
}
node_size = calculate_node_size(p) + 1; /* number of states in the automaton */
label = (tl_Node **) tl_emalloc(node_size * sizeof(tl_Node *));
transition = (ATrans **) tl_emalloc(node_size * sizeof(ATrans *));
node_size = node_size / (8 * sizeof(int)) + 1;
sym_size = calculate_sym_size(p); /* number of predicates */
if (sym_size)
{
sym_table = (char **) tl_emalloc(sym_size * sizeof(char *));
}
sym_size = sym_size / (8 * sizeof(int)) + 1;
final_set = make_set(-1, 0);
transition[0] = boolean(p); /* generates the alternating automaton */
if (tl_verbose)
{
fprintf(tl_out, "\nAlternating automaton before simplification\n");
print_alternating();
}
if (tl_simp_diff)
{
simplify_astates(); /* keeps only accessible states */
if (tl_verbose)
{
fprintf(tl_out, "\nAlternating automaton after simplification\n");
print_alternating();
}
}
if (tl_stats)
{
getrusage(RUSAGE_SELF, &tr_fin);
fprintf(tl_out, "\n%i states, %i transitions\n", astate_count, atrans_count);
}
releasenode(1, p);
tfree(label);
}
void mk_alternating(Node *p) /* generates an alternating automaton for p */
{
if(tl_stats) getrusage(RUSAGE_SELF, &tr_debut);
node_size = calculate_node_size(p) + 1; /* number of states in the automaton */
label = (Node **) tl_emalloc(node_size * sizeof(Node *));
transition = (ATrans **) tl_emalloc(node_size * sizeof(ATrans *));
node_size = node_size / (8 * sizeof(int)) + 1;
sym_size = calculate_sym_size(p); /* number of predicates */
if(sym_size) sym_table = (char **) tl_emalloc(sym_size * sizeof(char *));
sym_size = sym_size / (8 * sizeof(int)) + 1;
final_set = make_set(-1, 0);
transition[0] = boolean(p); /* generates the alternating automaton */
if(tl_verbose) {
fprintf(tl_out, "\nAlternating automaton before simplification\n");
print_alternating();
}
if(tl_simp_diff) {
simplify_astates(); /* keeps only accessible states */
if(tl_verbose) {
fprintf(tl_out, "\nAlternating automaton after simplification\n");
print_alternating();
}
}
#ifndef __MINGW__
if(tl_stats) {
getrusage(RUSAGE_SELF, &tr_fin);
timeval_subtract (&t_diff, &tr_fin.ru_utime, &tr_debut.ru_utime);
fprintf(tl_out, "\nBuilding and simplification of the alternating automaton: %i.%06is",
t_diff.tv_sec, t_diff.tv_usec);
fprintf(tl_out, "\n%i states, %i transitions\n", astate_count, atrans_count);
}
#endif
releasenode(1, p);
tfree(label);
}
Node *
cached(Node *n)
{ Cache *d;
Node *m;
if (!n) return n;
if ((m = in_cache(n)) != ZN)
return m;
Caches++;
d = (Cache *) tl_emalloc(sizeof(Cache));
d->before = dupnode(n);
d->after = Canonical(n); /* n is released */
if (ismatch(d->before, d->after))
{ d->same = 1;
releasenode(1, d->after);
d->after = d->before;
}
d->nxt = stored;
stored = d;
return dupnode(d->after);
}
Node *
push_negation(Node *n)
{ Node *m;
Assert(n->ntyp == NOT, n->ntyp);
switch (n->lft->ntyp) {
case TRUE:
Debug("!true => false\n");
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = FALSE;
break;
case FALSE:
Debug("!false => true\n");
releasenode(0, n->lft);
n->lft = ZN;
n->ntyp = TRUE;
break;
case NOT:
Debug("!!p => p\n");
m = n->lft->lft;
releasenode(0, n->lft);
n->lft = ZN;
releasenode(0, n);
n = m;
break;
case V_OPER:
Debug("!(p V q) => (!p U !q)\n");
n->ntyp = U_OPER;
goto same;
case U_OPER:
Debug("!(p U q) => (!p V !q)\n");
n->ntyp = V_OPER;
goto same;
#ifdef NXT
case NEXT:
Debug("!X -> X!\n");
n->ntyp = NEXT;
n->lft->ntyp = NOT;
n->lft = push_negation(n->lft);
break;
#endif
case AND:
Debug("!(p && q) => !p || !q\n");
n->ntyp = OR;
goto same;
case OR:
Debug("!(p || q) => !p && !q\n");
n->ntyp = AND;
same: m = n->lft->rgt;
n->lft->rgt = ZN;
n->rgt = Not(m);
n->lft->ntyp = NOT;
m = n->lft;
n->lft = push_negation(m);
break;
}
return rewrite(n);
}
Node *
Canonical(Node *n)
{ Node *m, *p, *k1, *k2, *prev, *dflt = ZN;
int tok;
if (!n) return n;
tok = n->ntyp;
if (tok != AND && tok != OR)
return n;
can = ZN;
addcan(tok, n);
#if 0
Debug("\nA0: "); Dump(can);
Debug("\nA1: "); Dump(n); Debug("\n");
#endif
releasenode(1, n);
/* mark redundant nodes */
if (tok == AND)
{ for (m = can; m; m = (m->ntyp == AND) ? m->rgt : ZN)
{ k1 = (m->ntyp == AND) ? m->lft : m;
if (k1->ntyp == TRUE)
{ marknode(AND, m);
dflt = True;
continue;
}
if (k1->ntyp == FALSE)
{ releasenode(1, can);
can = False;
goto out;
} }
for (m = can; m; m = (m->ntyp == AND) ? m->rgt : ZN)
for (p = can; p; p = (p->ntyp == AND) ? p->rgt : ZN)
{ if (p == m
|| p->ntyp == -1
|| m->ntyp == -1)
continue;
k1 = (m->ntyp == AND) ? m->lft : m;
k2 = (p->ntyp == AND) ? p->lft : p;
if (isequal(k1, k2))
{ marknode(AND, p);
continue;
}
if (anywhere(OR, k1, k2))
{ marknode(AND, p);
continue;
}
} }
if (tok == OR)
{ for (m = can; m; m = (m->ntyp == OR) ? m->rgt : ZN)
{ k1 = (m->ntyp == OR) ? m->lft : m;
if (k1->ntyp == FALSE)
{ marknode(OR, m);
dflt = False;
continue;
}
if (k1->ntyp == TRUE)
{ releasenode(1, can);
can = True;
goto out;
} }
for (m = can; m; m = (m->ntyp == OR) ? m->rgt : ZN)
for (p = can; p; p = (p->ntyp == OR) ? p->rgt : ZN)
{ if (p == m
|| p->ntyp == -1
|| m->ntyp == -1)
continue;
k1 = (m->ntyp == OR) ? m->lft : m;
k2 = (p->ntyp == OR) ? p->lft : p;
if (isequal(k1, k2))
{ marknode(OR, p);
continue;
}
if (anywhere(AND, k1, k2))
{ marknode(OR, p);
continue;
}
} }
for (m = can, prev = ZN; m; ) /* remove marked nodes */
{ if (m->ntyp == -1)
{ k2 = m->rgt;
releasenode(0, m);
if (!prev)
{ m = can = can->rgt;
} else
{ m = prev->rgt = k2;
/* if deleted the last node in a chain */
if (!prev->rgt && prev->lft
&& (prev->ntyp == AND || prev->ntyp == OR))
{ k1 = prev->lft;
prev->ntyp = prev->lft->ntyp;
prev->sym = prev->lft->sym;
prev->rgt = prev->lft->rgt;
prev->lft = prev->lft->lft;
releasenode(0, k1);
}
}
continue;
}
prev = m;
m = m->rgt;
}
out:
#if 0
Debug("A2: "); Dump(can); Debug("\n");
#endif
if (!can)
{ if (!dflt)
fatal("cannot happen, Canonical", (char *) 0);
return dflt;
}
return can;
}
static void
expand_g(Graph *g)
{ Node *now, *n1, *n2, *nx;
int can_release;
if (!g->New)
{ Debug2("\nDone with %s", g->name->name);
if (tl_verbose) dump_graph(g);
if (not_new(g))
{ if (tl_verbose) printf("\tIs Not New\n");
return;
}
if (g->Next)
{ Debug(" Has Next [");
for (n1 = g->Next; n1; n1 = n1->nxt)
{ Dump(n1); Debug(", "); }
Debug("]\n");
ng(ZS, getsym(g->name), g->Next, ZN, ZN);
}
return;
}
if (tl_verbose)
{ Symbol *z;
printf("\nExpand %s, from ", g->name->name);
for (z = g->incoming; z; z = z->next)
printf("%s, ", z->name);
printf("\n\thandle:\t"); Explain(g->New->ntyp);
dump_graph(g);
}
if (g->New->ntyp == AND)
{ if (g->New->nxt)
{ n2 = g->New->rgt;
while (n2->nxt)
n2 = n2->nxt;
n2->nxt = g->New->nxt;
}
n1 = n2 = g->New->lft;
while (n2->nxt)
n2 = n2->nxt;
n2->nxt = g->New->rgt;
releasenode(0, g->New);
g->New = n1;
push_stack(g);
return;
}
can_release = 0; /* unless it need not go into Old */
now = g->New;
g->New = g->New->nxt;
now->nxt = ZN;
if (now->ntyp != TRUE)
{ if (g->Old)
{ for (n1 = g->Old; n1->nxt; n1 = n1->nxt)
if (isequal(now, n1))
{ can_release = 1;
goto out;
}
n1->nxt = now;
} else
g->Old = now;
}
out:
switch (now->ntyp) {
case FALSE:
push_stack(g);
break;
case TRUE:
releasenode(1, now);
push_stack(g);
break;
case PREDICATE:
case NOT:
if (can_release) releasenode(1, now);
push_stack(g);
break;
case V_OPER:
Assert(now->rgt != ZN, now->ntyp);
Assert(now->lft != ZN, now->ntyp);
Assert(now->rgt->nxt == ZN, now->ntyp);
Assert(now->lft->nxt == ZN, now->ntyp);
n1 = now->rgt;
n1->nxt = g->New;
if (can_release)
nx = now;
else
nx = getnode(now); /* now also appears in Old */
nx->nxt = g->Next;
n2 = now->lft;
n2->nxt = getnode(now->rgt);
n2->nxt->nxt = g->New;
g->New = flatten(n2);
push_stack(g);
ng(ZS, g->incoming, n1, g->Old, nx);
break;
case U_OPER:
Assert(now->rgt->nxt == ZN, now->ntyp);
Assert(now->lft->nxt == ZN, now->ntyp);
n1 = now->lft;
if (can_release)
nx = now;
else
nx = getnode(now); /* now also appears in Old */
nx->nxt = g->Next;
n2 = now->rgt;
n2->nxt = g->New;
goto common;
#ifdef NXT
case NEXT:
Assert(now->lft != ZN, now->ntyp);
nx = dupnode(now->lft);
nx->nxt = g->Next;
g->Next = nx;
if (can_release) releasenode(0, now);
push_stack(g);
break;
#endif
case OR:
Assert(now->rgt->nxt == ZN, now->ntyp);
Assert(now->lft->nxt == ZN, now->ntyp);
n1 = now->lft;
nx = g->Next;
n2 = now->rgt;
n2->nxt = g->New;
common:
n1->nxt = g->New;
ng(ZS, g->incoming, n1, g->Old, nx);
g->New = flatten(n2);
if (can_release) releasenode(1, now);
push_stack(g);
break;
}
}
static int
not_new(Graph *g)
{ Graph *q1; Node *tmp, *n1, *n2;
Mapping *map;
tmp = flatten(g->Old); /* duplicate, collapse, normalize */
g->Other = g->Old; /* non normalized full version */
g->Old = tmp;
g->oldstring = DoDump(g->Old);
tmp = flatten(g->Next);
g->nxtstring = DoDump(tmp);
if (tl_verbose) dump_graph(g);
Debug2("\tformula-old: [%s]\n", g->oldstring?g->oldstring->name:"true");
Debug2("\tformula-nxt: [%s]\n", g->nxtstring?g->nxtstring->name:"true");
for (q1 = Nodes_Set; q1; q1 = q1->nxt)
{ Debug2(" compare old to: %s", q1->name->name);
Debug2(" [%s]", q1->oldstring?q1->oldstring->name:"true");
Debug2(" compare nxt to: %s", q1->name->name);
Debug2(" [%s]", q1->nxtstring?q1->nxtstring->name:"true");
if (q1->oldstring != g->oldstring
|| q1->nxtstring != g->nxtstring)
{ Debug(" => different\n");
continue;
}
Debug(" => match\n");
if (g->incoming)
q1->incoming = catSlist(g->incoming, q1->incoming);
/* check if there's anything in g->Other that needs
adding to q1->Other
*/
for (n2 = g->Other; n2; n2 = n2->nxt)
{ for (n1 = q1->Other; n1; n1 = n1->nxt)
if (isequal(n1, n2))
break;
if (!n1)
{ Node *n3 = dupnode(n2);
/* don't mess up n2->nxt */
n3->nxt = q1->Other;
q1->Other = n3;
} }
map = (Mapping *) tl_emalloc(sizeof(Mapping));
map->from = g->name->name;
map->to = q1;
map->nxt = Mapped;
Mapped = map;
for (n1 = g->Other; n1; n1 = n2)
{ n2 = n1->nxt;
releasenode(1, n1);
}
for (n1 = g->Old; n1; n1 = n2)
{ n2 = n1->nxt;
releasenode(1, n1);
}
for (n1 = g->Next; n1; n1 = n2)
{ n2 = n1->nxt;
releasenode(1, n1);
}
return 1;
}
if (newstates) tl_verbose=1;
Debug2(" New Node %s [", g->name->name);
for (n1 = g->Old; n1; n1 = n1->nxt)
{ Dump(n1); Debug(", "); }
Debug2("] nr %d\n", Base);
if (newstates) tl_verbose=0;
Base++;
g->nxt = Nodes_Set;
Nodes_Set = g;
return 0;
}