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| /*
poj2567
*/
#include<iostream>
#include<cstdio>
#include<cstring>
#include<cstdlib>
using namespace std;
template<typename T>
void Swap(T& a,T& b){T t=a;a=b;b=t;}
template<typename T,int size,bool comp(const T& a,const T& b)>
struct HEAP
{
T ary[size+1];
int f;
void clear(){f=0;}
bool empty(){return f==0;}
void push(const T& w)
{
ary[++f]=w;
for(int k=f;k!=1&&comp(ary[k],ary[k/2]);k/=2)
Swap(ary[k],ary[k/2]);
}
void pop()
{
ary[1]=ary[f--];
for(int k=1,son=k*2;son<=f;k=son,son=k*2)
{
if(son+1<=f&&comp(ary[son+1],ary[son]))
++son;
if(comp(ary[son],ary[k]))
Swap(ary[son],ary[k]);
else break;
}
}
T top(){return ary[1];}
};
const int maxn=53;
int n;
struct EDGE
{
int to,nxt;
void init(int too,int nxtt)
{
to=too,nxt=nxtt;
}
}edge[maxn<<1];
int ek=0,head[maxn],dge[maxn];
bool cut[maxn<<1];
int redge(int e)
{
return ((e-1)^1)+1;
}
void addEdge(int k,int v)
{
edge[++ek].init(v,head[k]);
head[k]=ek;
++dge[v];
}
bool cmp(const int& a,const int& b)
{
return a<b;
}
char str[maxn*maxn];
int sk;
char getin()
{
char r;
do{r=getchar();}
while(r!=-1&&r!='\n'&&r!='('&&r!=')'&&(r<48||r>57));
return r;
}
bool input()
{
char r=getin();
if(r==-1)return false;
for(sk=0;r!='\n'&&r!=-1;r=getin())
str[++sk]=r;
return true;
}
int read(int l)
{
--l;
int w;char r;
for(r=str[++l];(r<48||r>57);r=str[++l]);
for(w=0;r>=48&&r<=57;r=str[++l])w=w*10+r-48;
return w;
}
bool used[maxn];
void build(int l,int r,int f)
{
int root=read(l);
if(!used[root])used[root]=true,++n;
if(f)
addEdge(root,f),addEdge(f,root);
for(int i=l;i<=r;++i)
{
if(str[i]=='(')
{
int s=1,j;
for(j=i+1;j<=r&&s;++j)
{
if(str[j]=='(')++s;
if(str[j]==')')--s;
}
--j;
build(i+1,j-1,root);
i=j;
}
}
}
HEAP<int,maxn,cmp> h;
int prufer[maxn],pk;
void init()
{
memset(head+1,0,n*sizeof(int));
memset(dge+1,0,n*sizeof(int));
ek=0;
h.clear();
memset(prufer+1,0,n*sizeof(int));
pk=0;
memset(cut+1,0,2*n*sizeof(int));
n=0;
memset(used,0,sizeof(used));
}
void solve()
{
for(int i=1;i<=n;++i)
{
if(dge[i]==1)
h.push(i);
}
for(int i=1;i<=n-1;++i)
{
int ff=h.top();h.pop();
for(int i=head[ff];i;i=edge[i].nxt)
{
if(!cut[i])
{
int v=edge[i].to;
prufer[++pk]=v;
cut[i]=cut[redge(i)]=true;
--dge[v];
if(dge[v]==1)h.push(v);
}
}
}
}
void output()
{
for(int i=1;i<=pk;++i)
{
printf("%d",prufer[i]);
if(i!=pk)putchar(' ');
}
putchar('\n');
}
int main()
{
freopen("poj2567_1.in","r",stdin);
//freopen("poj2567.out","w",stdout);
while(input())
{
init();
build(2,sk-1,0);
solve();
output();
}
return 0;
}
|