QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#784064#9630. 沙堆wcdrAC ✓2655ms355608kbC++179.5kb2024-11-26 13:02:192024-11-26 13:02:23

Judging History

你现在查看的是最新测评结果

  • [2024-11-26 13:02:23]
  • 评测
  • 测评结果:AC
  • 用时:2655ms
  • 内存:355608kb
  • [2024-11-26 13:02:19]
  • 提交

answer

#include<random>
#include<iostream>
#include<iomanip>
#include<cmath>
#include<ctime>
#include<cctype>
#include<cstdio>
#include<cstdlib>
#include<climits>
#define NDEBUG
#include<cassert>
#include<cstring>
#include<complex>
#include<algorithm>
#include<set>
#include<map>
#include<stack>
#include<queue>
#include<vector>
#include<bitset>
//#define LL __int128
#define LL long long
#define ULL unsigned LL
#define uint unsigned int
//#define int LL
//#define double long double
#define mkp make_pair
#define par pair<int,int>
#define psb push_back
#define epb emplace_back
#define f(x) ((x).first)
#define s(x) ((x).second)
using namespace std;
#define Lbt(x) ((x)&(-(x)))
#define Swap(x,y) (x^=y^=x^=y)
const int Mxxx=1e5;
inline char gc()
{
//	return getchar();
	static char buf[Mxxx],*p1=buf,*p2=buf;
	return p1==p2&&(p2=(p1=buf)+fread(buf,1,Mxxx,stdin),p1==p2)?EOF:*p1++;
}
inline char pc(char ch,bool fl=false)
{
//	return fl?0:putchar(ch),0;
	static char buf[Mxxx],*p1=buf,*p2=buf+Mxxx;
	return (fl||((*p1++=ch)&&p1==p2))&&(fwrite(buf,1,p1-buf,stdout),p1=buf),0;
}
#define output pc('!',true)
inline int read()
{
	char ch=gc();
	int gans=0,gflag=0;
	for(;ch<'0'||'9'<ch;gflag|=ch=='-',ch=gc());
	for(;'0'<=ch&&ch<='9';gans=(gans<<1)+(gans<<3)+(ch^48),ch=gc());
	return gflag?-gans:gans;
}
template<typename T>
inline char read(T&gans)
{
	char ch=gc();
	int gflag=0;gans=0;
	for(;ch<'0'||'9'<ch;gflag|=ch=='-',ch=gc());
	for(;'0'<=ch&&ch<='9';gans=(gans<<1)+(gans<<3)+(ch^48),ch=gc());
	return gans=gflag?-gans:gans,ch;
}
template<typename T>
inline void write(T x)
{
	if(x>9)write(x/10);
	pc(x%10^48);
}
template<typename T>
inline void writenum(T x,char ch)
{
	if(x<0)pc('-'),x=-x;
	write(x);pc(ch);
}
inline void writechar(char x,char ch)
{
	pc(x);pc(ch);
}
template<typename T>
inline T Max(T x,T y)
{
	return x>y?x:y;
}
template<typename T>
inline T Min(T x,T y)
{
	return x<y?x:y;
}
template<typename T>
inline T Abs(T x)
{
	return x<0?-x:x;
}
template<typename T>
inline void ckmx(T&x,T y)
{
	x=Max(x,y);
}
template<typename T>
inline void ckmn(T&x,T y)
{
	x=Min(x,y);
}
namespace Splay
{
	const int Mx=2e6;
	#define ls(k) sn[0][k]
	#define rs(k) sn[1][k]
	int cnt,pr[Mx+5],sn[2][Mx+5];
	int sz[Mx+5];LL vl[Mx+5];LL sm[Mx+5];
	int D;inline void St(int d){D=d;}
	inline void Up(int x)
	{
		sz[x]=sz[ls(x)]+sz[rs(x)]+1;
		sm[x]=sm[ls(x)]+sm[rs(x)]+(vl[x]);//vl[x]-D
		//sm[x]-=sz[x]*D
	}
	inline int Sn(int x)
	{
		return rs(pr[x])==x;
	}
	inline void Rtt(int x)
	{
		int y=pr[x],z=pr[y];
		int l=Sn(x),r=l^1;
		int p=sn[r][x],ch=Sn(y);
//		assert(x&&y);
		if(z)sn[ch][z]=x;
		sn[r][x]=y;sn[l][y]=p;
		if(p)pr[p]=y;
		pr[y]=x;pr[x]=z;
		Up(y);Up(x);
	}
//	inline void Pre_Dn(int x)
	inline int Spy(int x)
	{
		int y;for(;(y=pr[x]);Rtt(x))if(pr[y])Rtt(Sn(x)==Sn(y)?y:x);
		return assert(!pr[x]),x;
	}
	inline int Ins_L(int x,int v)
	{
		if(!x)return vl[++cnt]=v,Up(cnt),cnt;
		assert(!pr[x]);
		for(;ls(x);x=ls(x));
		Spy(x);assert(!ls(x));
		int k=++cnt;//assert(k);
		pr[ls(x)=k]=x;vl[k]=v;
		return Up(k),Up(x),x;
	}
	inline int Ck(int x,int y){return sz[x]<sz[y];}
	inline int Get_L(int&x)
	{
		assert(!pr[x]);
		for(;ls(x);x=ls(x));
		Spy(x);assert(!ls(x));
		int y=x;pr[x=rs(y)]=0;
		return rs(y)=0,Up(y),y;
	}
	inline int Fnd_K(int x,int y,LL t)
	{
		if(!x)return x;
		LL sl=sm[ls(x)]-(LL)sz[ls(x)]*(D-1);
		if(sl+vl[x]-D+1<=t)return Fnd_K(rs(x),y,t-(sl+vl[x]-D+1));
		return t<sl?Fnd_K(ls(x),y,t):x;
	}
	inline int Ins_K(int x,int y,LL t)
	{
		assert(!pr[x]);
		int p=Fnd_K(x,y,t);
		if(!p)
		{
			for(;rs(x);x=rs(x));
			Spy(x);assert(!rs(x));
			rs(x)=y;pr[y]=x;vl[y]=t-(sm[x]-(LL)sz[x]*(D-1))+(D-1);
			return Up(y),Up(x),x;
		}
		Spy(p);int q=ls(p);
		if(!q)return vl[y]=t-1+D,vl[p]-=t,
		ls(p)=y,pr[y]=p,Up(y),Up(p),p;
		LL sl=sm[ls(p)]-(LL)sz[ls(p)]*(D-1);
		vl[y]=(t-sl)+(D-1);vl[p]-=t-sl;
		pr[q]=y;pr[y]=p;ls(p)=y;ls(y)=q;
		return Up(y),Up(p),p;
	}
	inline int Rcd_Mrg(vector<pair<pair<int,LL>,pair<int,LL> > >&v,int x,int y,LL&t)
	{
		if(!x)return y;
		y=Rcd_Mrg(v,ls(x),y,t);
		t+=vl[x]-D+1;int p=Fnd_K(y,x,t);
		if(p)Spy(p),v.epb(mkp(mkp(x,vl[x]),mkp(p,vl[p])));
		else
		{
			for(p=y;rs(p);p=rs(p));
			Spy(p);v.epb(mkp(mkp(x,vl[x]),mkp(0,0)));
		}
		return y=p,Rcd_Mrg(v,rs(x),y,t);
	}
	inline int Mrg(int x,int y,LL t=0)
	{
		if(!y)return x;
		assert(!pr[y]);
		int z=Get_L(y);t+=vl[z]-D+1;
		return Mrg(Ins_K(x,z,t),y,t);
	}
	int P;
	inline LL Fnd(int x,int v,int f)
	{
		assert(v);if(!x)return assert(f),v-1;//!f?(cout<<"---Fnd?:"<<x<<":"<<v<<" "<<f<<"\n"):(void*)0,
		LL sl=sm[ls(x)]-(LL)sz[ls(x)]*(D-1);P=x;
		if(v<=sl*f+sz[ls(x)])return Fnd(ls(x),v,f);
		return v<=(sl+vl[x]-D+1)*f+sz[ls(x)]+1?(f?Min(v-(sl*f+sz[ls(x)])-1+sl,sl+vl[x]-D):sl+vl[x]-D)
		:sl+vl[x]-D+1+Fnd(rs(x),v-((sl+vl[x]-D+1)*f+sz[ls(x)]+1),f);
	}
	inline int Upd(){return Spy(P);}
	inline int Ask(int x,LL t)
	{
		if(!x)return 0;
		LL sl=sm[ls(x)]-(LL)sz[ls(x)]*(D-1);P=x;
		if(t<sl)return Ask(ls(x),t);
		return t<sl+vl[x]-D+1?sz[ls(x)]:sz[ls(x)]+1+Ask(rs(x),t-(sl+vl[x]-D+1));
	}
	inline int Ask_(int x,LL t)
	{
		if(!x)return 0;
		LL sl=sm[ls(x)]-(LL)sz[ls(x)]*(D-1);
		if(sl+vl[x]-D+1<=t)return Ask_(rs(x),t-(sl+vl[x]-D+1));
		return t<sl?Ask(ls(x),t):x;
	}
	inline int Cut(int x,LL t)
	{
		int p=Ask_(x,t);
		if(!p)
		{
//			for(;rs(x);x=rs(x));
//			Spy(x);assert(!rs(x));
			return 0;
		}
		Spy(p);
		LL sl=sm[ls(p)]-(LL)sz[ls(p)]*(D-1);
		vl[p]=(sl+vl[p]-D-t)+D;
		pr[ls(p)]=0;ls(p)=0;
		return Up(p),p;
	}
	inline int Rcd_Ask(int x,LL t,int&a,int&b)
	{
		int p=Ask_(x,t);
		if(!p)
		{
			for(;rs(x);x=rs(x));
			Spy(a=x);assert(!rs(x));
			return b=0;
		}
		Spy(b=p);int q;
		if((q=ls(p)))
		{
			for(;rs(q);q=rs(q));
			Spy(a=q);
		}else a=q;
		return vl[p];
	}
	inline int Lnk(int x,int y)
	{
		Spy(x);Spy(y);
		assert(!rs(x));
		assert(!ls(y));
		pr[ls(y)=x]=y;
		return Up(y),y;
	}
	inline int Del(int x)
	{
		Spy(x);
		if(!ls(x))return pr[rs(x)]=0,rs(x);
		if(!rs(x))return pr[ls(x)]=0,ls(x);
		int p=ls(x);pr[p]=0;
		for(;rs(p);p=rs(p));
		Spy(p);pr[rs(p)=rs(x)]=p;
		return Up(p),p;
	}
	inline int Cov(int x,LL y)
	{
		return Spy(x),vl[x]=y,Up(x),x;
	}
	inline int Bld(const vector<pair<pair<int,LL>,pair<int,LL> > >&v,int&q)
	{
		for(auto to:v)
		{
			int p=f(f(to));q=Del(p);
			pr[p]=ls(p)=rs(p)=vl[p]=0;
		}
		int ls=0;
		for(auto to:v)
		{
			int p=f(f(to));if(f(s(to)))q=Cov(f(s(to)),s(s(to)));
			vl[p]=s(f(to));ls(p)=ls;if(ls)pr[ls]=p;
			Up(ls=p);
		}
		return ls;
	}
//	inline int Chk_Out(int x,LL t=0)
//	{
//		if(!x)return t;
//		t=Chk_Out(ls(x),t);
////		cout<<" "<<x<<"_"<<vl[x]<<"_"<<(t+=vl[x]-D+1)<<" ";
//		cout<<(t+=vl[x]-D+1)<<" ";
//		return Chk_Out(rs(x),t);
//	}
}
const int Mx=1e6;
int n,cnt,c[Mx+5],h[Mx+5],du[Mx+5],nxt[(Mx<<1)+5],tto[(Mx<<1)+5];
inline void ade(int x,int y){nxt[++cnt]=h[x];tto[h[x]=cnt]=y;du[y]++;}
inline void Ade(int x,int y){ade(x,y),ade(y,x);}int dp[Mx+5],rt[Mx+5];
vector<pair<pair<int,LL>,pair<int,LL> > >tp1[(Mx<<1)+5];int flg[(Mx<<1)+5];
inline int Rcd(int x,int y,int z)
{
	LL tp=0;return Splay::Rcd_Mrg(tp1[y],x,z,tp);
}int tp2[Mx+5],tp3[Mx+5],tp5[Mx+5];
inline int Rcd_(int x,LL y,int z)
{
	return tp5[z]=Splay::Rcd_Ask(x,y,tp2[z],tp3[z]),tp2[z]?tp2[z]:tp3[z];
}int tp4[Mx+5];
inline void Rcdd(int x,int y)
{
	tp4[y]=x;
}LL tt[Mx+5];
inline void DFS(int x,int y,int z)
{
	int i,to;dp[x]=z;
	for(i=h[x];i;i=nxt[i])if((to=tto[i])^y)
	{
		DFS(to,x,z+1);
		if(!rt[x]&&!rt[to])continue;
		Splay::St(z+1);
		if(Splay::Ck(rt[x],rt[to]))flg[i]=1,Swap(rt[x],rt[to]);
		rt[x]=Rcd(rt[to],i,rt[x]);
		rt[x]=Splay::Mrg(rt[x],rt[to]);
	}
	if(c[x]>=du[x])
	{
		Splay::St(z+1);Splay::P=rt[x];
		LL t=Splay::Fnd(rt[x],c[x]-du[x]+1,y!=0)+1;
		rt[x]=Splay::Upd();Splay::P=rt[x];tt[x]=t;
		c[x]-=(y!=0)*t+Splay::Ask(rt[x],t);
		rt[x]=Splay::Upd();
		if(y)c[y]+=t;
		rt[x]=Rcd_(rt[x],t,x);
		rt[x]=Splay::Cut(rt[x],t);
	}
	int k;for(i=1,Rcdd(k=du[x]-1-c[x],x);i<=k;i++)
	rt[x]=Splay::Ins_L(rt[x],dp[x]);
//	cout<<"Ck_Splay:"<<x<<" "<<Splay::sz[rt[x]]<<":";Splay::St(z);Splay::Chk_Out(rt[x]);cout<<"\n";
//	cout<<"Ck_DFS1_end:"<<x<<" "<<y<<":"<<c[x]<<"_c "<<tt[x]<<"_t "<<c[y]<<"_y\n";
}
inline void DFS(int x,int y)
{
	int i,to;
	for(i=1;i<=tp4[x];i++)Splay::Get_L(rt[x]);
	if(c[x]>=du[x])
	{
		Splay::St(dp[x]+1);Splay::P=rt[x];
		LL t=Splay::Fnd(rt[x],c[x]-du[x]+1,y!=0)+1;
		rt[x]=Splay::Upd();Splay::P=rt[x];tt[x]+=t;
		c[x]-=(y!=0)*t+Splay::Ask(rt[x],t);
		rt[x]=Splay::Upd();
//		if(y)c[y]+=t;
	}
	if(tp3[x])
	{
		rt[x]=Splay::Cov(tp3[x],tp5[x]);
		if(tp2[x])rt[x]=Splay::Lnk(tp2[x],tp3[x]);
	}else if(tp2[x])rt[x]=tp2[x];
	vector<int>tmp;tmp.clear();
	for(i=h[x];i;i=nxt[i])if((to=tto[i])^y)tmp.epb(i);//c[to]+=tt[x];DFS(to,x);
	for(;!tmp.empty();tmp.pop_back())
	{
		i=tmp.back();to=tto[i];Splay::St(dp[x]+1);
		c[to]+=tt[x];rt[to]=Splay::Bld(tp1[i],rt[x]);
		if(flg[i])Swap(rt[x],rt[to]);
		DFS(to,x);
	}
}
signed main()
{
	#ifndef ONLINE_JUDGE
//	system("fc _.out __.out");
	freopen("_.in","r",stdin);
//	freopen("_.out","w",stdout);
	#endif
	int i,s=0;n=read();
	for(i=1;i<n;i++)Ade(read(),read());
	for(i=1;i<=n;i++)c[i]=read(),s+=du[i]-1;
	for(i=1;i<=n;i++)if((s-=c[i])<0)return writenum(-1,10),output;
	DFS(1,0,1);DFS(1,0);for(i=1;i<=n;i++)writenum(c[i],i==n?10:32);
	return output;
}
/*
6
1 2
2 3
2 4
1 5
4 6
1 1 0 0 1 1
*/
/*
12
1 2
1 3
2 4
3 5
5 6
2 7
7 8
4 9
8 10
5 11
3 12
2 0 0 0 1 0 1 0 1 1 0 1
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 15ms
memory: 77336kb

input:

6
1 2
2 3
2 4
1 5
4 6
1 1 0 0 1 1

output:

1 2 0 1 0 0

result:

ok single line: '1 2 0 1 0 0'

Test #2:

score: 0
Accepted
time: 4ms
memory: 77352kb

input:

12
1 2
1 3
2 4
3 5
5 6
2 7
7 8
4 9
8 10
5 11
3 12
2 0 0 0 1 0 1 0 1 1 0 1

output:

0 1 2 1 1 0 1 1 0 0 0 0

result:

ok single line: '0 1 2 1 1 0 1 1 0 0 0 0'

Test #3:

score: 0
Accepted
time: 11ms
memory: 77368kb

input:

40
1 2
2 3
1 4
3 5
5 6
6 7
4 8
6 9
8 10
6 11
6 12
9 13
10 14
7 15
9 16
15 17
15 18
12 19
18 20
16 21
18 22
22 23
5 24
22 25
2 26
24 27
14 28
27 29
20 30
29 31
30 32
20 33
26 34
26 35
19 36
11 37
34 38
37 39
29 40
3 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 3 0 1 0 3 0 0 0 1 0 0 0 0 0 0 0 0 0 2 1

output:

1 1 0 1 0 4 1 0 2 0 1 0 0 0 0 1 0 2 1 1 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0

result:

ok single line: '1 1 0 1 0 4 1 0 2 0 1 0 0 0 0 ...0 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0'

Test #4:

score: 0
Accepted
time: 12ms
memory: 80016kb

input:

5000
1 2
1 3
2 4
4 5
3 6
5 7
7 8
6 9
8 10
9 11
10 12
11 13
13 14
14 15
12 16
16 17
15 18
17 19
16 20
18 21
16 22
15 23
20 24
24 25
25 26
22 27
23 28
19 29
27 30
29 31
27 32
28 33
32 34
31 35
26 36
34 37
35 38
35 39
33 40
38 41
40 42
42 43
30 44
41 45
37 46
39 47
47 48
36 49
48 50
46 51
44 52
51 53
4...

output:

1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 2 ...

result:

ok single line: '1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #5:

score: 0
Accepted
time: 7ms
memory: 78100kb

input:

5000
1 2
1 3
2 4
3 5
4 6
5 7
6 8
8 9
7 10
9 11
10 12
6 13
11 14
12 15
13 16
16 17
14 18
17 19
17 20
19 21
15 22
21 23
22 24
18 25
23 26
24 27
25 28
28 29
27 30
29 31
26 32
30 33
19 34
34 35
32 36
20 37
37 38
31 39
35 40
39 41
40 42
42 43
41 44
33 45
43 46
38 47
46 48
45 49
48 50
44 51
49 52
51 53
50...

output:

1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 ...

result:

ok single line: '1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #6:

score: 0
Accepted
time: 11ms
memory: 78040kb

input:

5000
1 2
1 3
2 4
3 5
4 6
5 7
6 8
8 9
7 10
10 11
9 12
11 13
12 14
13 15
15 16
14 17
17 18
16 19
18 20
19 21
21 22
20 23
22 24
23 25
24 26
26 27
25 28
28 29
27 30
29 31
31 32
30 33
32 34
33 35
35 36
34 37
36 38
37 39
39 40
38 41
40 42
31 43
41 44
43 45
44 46
42 47
46 48
45 49
48 50
49 51
51 52
52 53
5...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 2 0 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 2 1 1 1 1 2 1 2 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #7:

score: 0
Accepted
time: 10ms
memory: 80072kb

input:

5000
1 2
1 3
2 4
3 5
5 6
4 7
7 8
6 9
9 10
10 11
8 12
11 13
13 14
12 15
14 16
16 17
7 18
15 19
18 20
19 21
17 22
22 23
20 24
24 25
23 26
21 27
25 28
27 29
29 30
28 31
26 32
31 33
30 34
32 35
35 36
34 37
33 38
38 39
39 40
40 41
37 42
41 43
43 44
42 45
36 46
44 47
45 48
46 49
48 50
47 51
43 52
49 53
52...

output:

1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1 1 1 2 1 1 1 2 0 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 0 1 1 0 2 1 1 1 0 2 1 1 1 0 1 1 1 0 0 1 1 1 1 1 2 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 4 0 1 0 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #8:

score: 0
Accepted
time: 7ms
memory: 78048kb

input:

5000
1 2
1 3
2 4
3 5
5 6
4 7
6 8
8 9
8 10
10 11
9 12
11 13
7 14
13 15
12 16
14 17
15 18
16 19
18 20
19 21
20 22
17 23
21 24
24 25
23 26
26 27
22 28
25 29
27 30
28 31
31 32
30 33
32 34
33 35
34 36
35 37
37 38
38 39
36 40
40 41
39 42
29 43
42 44
44 45
42 46
46 47
41 48
47 49
49 50
45 51
43 52
51 53
48...

output:

1 1 1 1 1 1 1 2 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 3 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 ...

result:

ok single line: '1 1 1 1 1 1 1 2 1 1 1 1 1 0 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #9:

score: 0
Accepted
time: 14ms
memory: 77984kb

input:

5000
1 2
1 3
2 4
3 5
4 6
5 7
6 8
8 9
7 10
8 11
9 12
10 13
11 14
13 15
14 16
15 17
17 18
16 19
17 20
12 21
18 22
20 23
21 24
24 25
23 26
20 27
22 28
28 29
25 30
29 31
27 32
30 33
32 34
34 35
33 36
30 37
36 38
31 39
35 40
37 41
26 42
39 43
38 44
19 45
42 46
44 47
40 48
46 49
49 50
45 51
48 52
47 53
50...

output:

1 1 0 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 ...

result:

ok single line: '1 1 0 1 1 1 1 2 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #10:

score: 0
Accepted
time: 11ms
memory: 80240kb

input:

5000
1 2
2 3
1 4
3 5
4 6
5 7
6 8
7 9
6 10
6 11
10 12
11 13
13 14
12 15
9 16
14 17
15 18
16 19
17 20
18 21
21 22
22 23
18 24
20 25
23 26
25 27
8 28
28 29
26 30
24 31
27 32
19 33
30 34
29 35
33 36
34 37
37 38
35 39
34 40
32 41
36 42
42 43
39 44
43 45
44 46
45 47
46 48
41 49
47 50
49 51
48 52
52 53
50 ...

output:

1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 0 1 1 1 3 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 4 1 1 1 2 ...

result:

ok single line: '1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #11:

score: 0
Accepted
time: 7ms
memory: 77960kb

input:

5000
1 2
2 3
3 4
4 5
1 6
6 7
7 8
5 9
8 10
10 11
9 12
12 13
11 14
13 15
10 16
15 17
14 18
17 19
17 20
16 21
20 22
19 23
22 24
23 25
24 26
25 27
25 28
21 29
18 30
26 31
27 32
30 33
31 34
32 35
34 36
36 37
37 38
38 39
35 40
39 41
40 42
29 43
41 44
44 45
42 46
41 47
43 48
28 49
47 50
46 51
50 52
51 53
5...

output:

1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 1 2 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #12:

score: 0
Accepted
time: 11ms
memory: 78004kb

input:

5000
1 2
1 3
3 4
2 5
4 6
6 7
5 8
7 9
8 10
9 11
10 12
3 13
11 14
14 15
11 16
13 17
17 18
16 19
15 20
20 21
21 22
18 23
19 24
22 25
12 26
24 27
27 28
25 29
26 30
29 31
30 32
23 33
30 34
34 35
33 36
35 37
32 38
37 39
36 40
18 41
39 42
28 43
41 44
31 45
43 46
44 47
40 48
46 49
47 50
49 51
42 52
38 53
45...

output:

1 1 2 1 1 1 1 1 1 1 2 1 1 1 0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 2 1 1 1 1 1 1 1 2 1 1 1 0 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #13:

score: 0
Accepted
time: 2655ms
memory: 355608kb

input:

1000000
1 2
1 3
2 4
3 5
4 6
5 7
7 8
8 9
9 10
8 11
6 12
12 13
13 14
11 15
15 16
14 17
16 18
11 19
15 20
18 21
10 22
22 23
19 24
20 25
15 26
25 27
25 28
28 29
17 30
30 31
29 32
30 33
24 34
31 35
34 36
33 37
23 38
28 39
32 40
26 41
21 42
42 43
27 44
39 45
36 46
43 47
37 48
34 49
44 50
47 51
50 52
48 53...

output:

1 1 1 1 1 1 1 2 1 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 2 1 1 3 1 2 2 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 0 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 2 1 1 1 1 1 1 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 2 1 1 2 1 1 1 3 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #14:

score: 0
Accepted
time: 2565ms
memory: 351488kb

input:

1000000
1 2
2 3
2 4
4 5
3 6
6 7
5 8
7 9
9 10
1 11
9 12
10 13
11 14
12 15
14 16
15 17
13 18
17 19
16 20
20 21
18 22
8 23
22 24
19 25
24 26
21 27
23 28
25 29
26 30
30 31
28 32
27 33
32 34
26 35
31 36
35 37
36 38
33 39
37 40
34 41
35 42
39 43
42 44
41 45
43 46
38 47
40 48
45 49
29 50
44 51
48 52
49 53
...

output:

1 2 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 2 1 1 1 1 1 1 1 0 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 1 2 2 2 1 1 1 ...

result:

ok single line: '1 2 1 1 1 1 1 1 2 1 0 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #15:

score: 0
Accepted
time: 1916ms
memory: 288796kb

input:

1000000
1 2
1 3
3 4
2 5
4 6
5 7
6 8
7 9
9 10
8 11
10 12
11 13
12 14
13 15
14 16
16 17
17 18
15 19
19 20
18 21
20 22
21 23
22 24
23 25
24 26
25 27
26 28
27 29
28 30
29 31
31 32
32 33
30 34
33 35
35 36
34 37
36 38
37 39
38 40
40 41
39 42
41 43
42 44
43 45
44 46
45 47
47 48
46 49
48 50
49 51
50 52
51 5...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #16:

score: 0
Accepted
time: 2084ms
memory: 314784kb

input:

1000000
1 2
1 3
2 4
4 5
3 6
5 7
6 8
7 9
8 10
9 11
11 12
10 13
12 14
14 15
13 16
15 17
16 18
15 19
18 20
17 21
19 22
20 23
22 24
23 25
21 26
24 27
27 28
25 29
28 30
26 31
31 32
30 33
29 34
33 35
32 36
35 37
36 38
34 39
38 40
40 41
41 42
39 43
37 44
42 45
44 46
45 47
43 48
47 49
48 50
49 51
46 52
50 5...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #17:

score: 0
Accepted
time: 21ms
memory: 81440kb

input:

1000000
1 2
1 3
2 4
3 5
4 6
6 7
5 8
8 9
7 10
9 11
11 12
10 13
13 14
12 15
14 16
16 17
15 18
17 19
19 20
18 21
21 22
20 23
22 24
23 25
24 26
26 27
25 28
27 29
28 30
29 31
30 32
32 33
33 34
31 35
34 36
36 37
35 38
38 39
37 40
39 41
41 42
40 43
42 44
43 45
44 46
45 47
46 48
47 49
48 50
49 51
50 52
51 5...

output:

-1

result:

ok single line: '-1'

Test #18:

score: 0
Accepted
time: 15ms
memory: 81480kb

input:

1000000
1 2
1 3
3 4
2 5
4 6
5 7
7 8
8 9
6 10
9 11
10 12
11 13
13 14
12 15
14 16
15 17
17 18
16 19
18 20
19 21
21 22
20 23
22 24
23 25
24 26
25 27
26 28
28 29
27 30
30 31
31 32
32 33
29 34
33 35
34 36
36 37
35 38
38 39
37 40
39 41
40 42
41 43
42 44
44 45
45 46
43 47
46 48
47 49
49 50
48 51
50 52
51 5...

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 1559ms
memory: 256944kb

input:

1000000
1 2
2 3
1 4
3 5
4 6
5 7
6 8
8 9
7 10
10 11
9 12
11 13
13 14
14 15
12 16
15 17
16 18
17 19
19 20
20 21
18 22
21 23
22 24
23 25
25 26
24 27
27 28
26 29
29 30
28 31
30 32
32 33
33 34
31 35
34 36
35 37
37 38
36 39
38 40
39 41
40 42
42 43
41 44
43 45
44 46
45 47
46 48
48 49
49 50
47 51
50 52
51 5...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #20:

score: 0
Accepted
time: 1685ms
memory: 265648kb

input:

1000000
1 2
2 3
3 4
4 5
1 6
5 7
6 8
8 9
7 10
10 11
11 12
9 13
12 14
14 15
13 16
16 17
15 18
17 19
18 20
19 21
20 22
21 23
22 24
23 25
24 26
26 27
25 28
27 29
29 30
28 31
30 32
31 33
32 34
34 35
33 36
35 37
36 38
37 39
38 40
39 41
41 42
42 43
40 44
43 45
44 46
46 47
47 48
48 49
45 50
49 51
48 52
52 5...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0'

Test #21:

score: 0
Accepted
time: 0ms
memory: 56828kb

input:

1
1

output:

-1

result:

ok single line: '-1'