답안 #877781

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
877781 2023-11-23T14:26:55 Z simona1230 Jail (JOI22_jail) C++17
61 / 100
5000 ms 168928 KB
#include <bits/stdc++.h>
#define endl "\n"
using namespace std;
const int maxver=1e6;
const int maxn=9*120000;
int q,n,m;
vector<int> f[maxn];
void read()
{
    cin>>n;
    for(int i=1; i<=n; i++)
        f[i].clear();
    for(int i=1; i<n; i++)
    {
        int x,y;
        cin>>x>>y;
        f[x].push_back(y);
        f[y].push_back(x);
    }
    cin>>m;
}

int num;
int ts[maxn];
int te[maxn];
int dw[maxn];
int up[maxn];

vector<int> v[maxver],o[maxver];

void add_edge(int x,int y)
{
    v[x].push_back(y);
    o[y].push_back(x);
}

void make_tree(int i,int l,int r)
{
    if(l==r)
    {
        ts[i]=num++;
        te[i]=num++;
        //cout<<ts[i]<<" "<<te[i]<<" "<<l<<" "<<r<<endl;
        dw[l]=ts[i];
        up[l]=te[i];
        return;
    }

    ts[i]=num++;
    te[i]=num++;
    //cout<<ts[i]<<" "<<te[i]<<" "<<l<<" "<<r<<endl;
    int mid=(l+r)/2;

    make_tree(i*2,l,mid);
    make_tree(i*2+1,mid+1,r);

    add_edge(ts[i],ts[i*2]);
    add_edge(ts[i],ts[i*2+1]);
    add_edge(te[i*2],te[i]);
    add_edge(te[i*2+1],te[i]);
}

int used[maxn];
int sz[maxn];

void size_(int i)
{
    used[i]=1;
    sz[i]=1;
    for(int j=0; j<f[i].size(); j++)
    {
        int nb=f[i][j];
        if(!used[nb])
        {
            size_(nb);
            sz[i]+=sz[nb];
        }
    }
}

int jump[maxn][21];

int pos[maxn];
int chain[maxn];
int lvl[maxn];
int cnt=1;

void hld(int i,int lead,int level,int par)
{
    pos[i]=cnt++;
    chain[i]=lead;
    lvl[i]=level;

    int maxx=0,big=0;
    for(int j=0; j<f[i].size(); j++)
    {
        int nb=f[i][j];
        if(sz[nb]>maxx&&nb!=par)
        {
            maxx=sz[nb];
            big=nb;
        }
    }

    if(big)
    {
        //cout<<"here "<<i<<" "<<lead<<" "<<ver<<endl;
        hld(big,lead,level+1,i);
        jump[big][0]=i;
    }

    for(int j=0; j<f[i].size(); j++)
    {
        int nb=f[i][j];
        if(nb!=big&&nb!=par)
        {
            hld(nb,nb,level+1,i);
            jump[nb][0]=i;
        }
    }
}

void prec()
{
    for(int j=1; j<=20; j++)
        for(int i=1; i<=n; i++)
            jump[i][j]=jump[jump[i][j-1]][j-1];
}

int make_jump(int x,int k)
{
    for(int i=20; i>=0; i--)
        if(k&(1<<i))x=jump[x][i];
    return x;
}

int lca(int x,int y)
{
    if(lvl[x]<lvl[y])swap(x,y);
    x=make_jump(x,abs(lvl[x]-lvl[y]));
    if(x==y)return x;

    for(int i=20; i>=0; i--)
    {
        if(jump[x][i]!=jump[y][i])
        {
            x=jump[x][i];
            y=jump[y][i];
        }
    }

    return jump[x][0];
}

void update(int i,int l,int r,int ql,int qr,int pr)
{
    if(ql>qr||r<ql||l>qr)return;

    if(ql<=l&&r<=qr)
    {
        add_edge(pr,ts[i]);
        add_edge(te[i],pr);
        return;
    }

    int mid=(l+r)/2;
    update(i*2,l,mid,ql,qr,pr);
    update(i*2+1,mid+1,r,ql,qr,pr);
}
void make_graph()
{
    for(int i=1; i<=m; i++)
    {
        int x,y;
        cin>>x>>y;
        add_edge(dw[pos[x]],i);
        add_edge(i,up[pos[y]]);

        int st,lca_=lca(x,y);
        //cout<<lca_<<endl;

        st=x;
        while(true)
        {
            int ed=chain[st];
            if(lvl[ed]<lvl[lca_])ed=lca_;
            update(1,1,n,pos[ed],pos[st],i);
            //cout<<pos[ed]<<" "<<pos[st]<<endl;
            if(ed==lca_)break;
            st=jump[ed][0];
        }

        st=y;
        while(true)
        {
            int ed=chain[st];
            if(lvl[ed]<lvl[lca_])ed=lca_;
            update(1,1,n,pos[ed],pos[st],i);
            //cout<<pos[ed]<<" "<<pos[st]<<endl;
            if(ed==lca_)break;
            st=jump[ed][0];
        }
    }
}

int comp;
stack<int> topo;
int used1[maxn];
int used2[maxn];

void dfs1(int i)
{
    used1[i]=1;
    for(int j=0; j<v[i].size(); j++)
    {
        int nb=v[i][j];
        if(!used1[nb])
            dfs1(nb);
    }
    topo.push(i);
}

void dfs2(int i)
{
    used2[i]=comp;
    for(int j=0; j<o[i].size(); j++)
    {
        int nb=o[i][j];
        if(!used2[nb])
            dfs2(nb);
    }
}
map<int,int> mp;
void check()
{
    mp.clear();
    for(int i=1; i<=m; i++)
        if(!used1[i])dfs1(i);

    comp=0;
    while(topo.size())
    {
        int ver=topo.top();
        topo.pop();
        if(!used2[ver])
        {
            comp++;
            dfs2(ver);
        }
    }
    //cout<<comp<<" "<<num<<endl;
    bool ans=1;
    for(int i=1;i<=m;i++)
    {
        mp[used2[i]]++;
        if(mp[used2[i]]>1)ans=0;
    }
    if(ans)cout<<"Yes"<<endl;
    else cout<<"No"<<endl;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);

    cin>>q;
    while(q--)
    {
        read();

        for(int i=1; i<maxver; i++)
        {
            v[i].clear();
            o[i].clear();
        }
        for(int i=1;i<maxn;i++)
        {
            used[i]=pos[i]=used1[i]=0;
            used2[i]=chain[i]=ts[i]=0;
            te[i]=sz[i]=dw[i]=up[i]=lvl[i]=0;
        }
        /*memset(used,0,sizeof(used));
        memset(pos,0,sizeof(pos));
        memset(used1,0,sizeof(used1));
        memset(used2,0,sizeof(used2));
        memset(chain,0,sizeof(chain));
        memset(ts,0,sizeof(ts));
        memset(te,0,sizeof(te));
        memset(sz,0,sizeof(sz));
        memset(dw,0,sizeof(dw));
        memset(up,0,sizeof(up));
        memset(lvl,0,sizeof(lvl));*/
        for(int i=1; i<=n; i++)
            for(int j=0; j<=20; j++)
                jump[i][j]=0;

        size_(1);
        cnt=1;
        hld(1,1,1,-1);
        prec();
        num=m+1;
        make_tree(1,1,n);
        make_graph();
        /*for(int i=1;i<num;i++)
        {
            cout<<i<<": ";
            for(int j=0;j<v[i].size();j++)
            {
                cout<<v[i][j]<<" ";
            }
            cout<<endl;
        }*/
        check();
    }
    return 0;
}
/*
1
6
2 4
4 1
1 5
5 3
3 6
2
2 3
6 1
*/

Compilation message

jail.cpp: In function 'void size_(int)':
jail.cpp:70:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   70 |     for(int j=0; j<f[i].size(); j++)
      |                  ~^~~~~~~~~~~~
jail.cpp: In function 'void hld(int, int, int, int)':
jail.cpp:95:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   95 |     for(int j=0; j<f[i].size(); j++)
      |                  ~^~~~~~~~~~~~
jail.cpp:112:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |     for(int j=0; j<f[i].size(); j++)
      |                  ~^~~~~~~~~~~~
jail.cpp: In function 'void dfs1(int)':
jail.cpp:214:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  214 |     for(int j=0; j<v[i].size(); j++)
      |                  ~^~~~~~~~~~~~
jail.cpp: In function 'void dfs2(int)':
jail.cpp:226:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  226 |     for(int j=0; j<o[i].size(); j++)
      |                  ~^~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 121684 KB Output is correct
2 Correct 39 ms 121936 KB Output is correct
3 Correct 30 ms 121688 KB Output is correct
4 Correct 2714 ms 121888 KB Output is correct
5 Execution timed out 5003 ms 121884 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 25 ms 121648 KB Output is correct
2 Correct 25 ms 121692 KB Output is correct
3 Correct 137 ms 121916 KB Output is correct
4 Correct 141 ms 121936 KB Output is correct
5 Correct 134 ms 121692 KB Output is correct
6 Correct 136 ms 121688 KB Output is correct
7 Correct 134 ms 121692 KB Output is correct
8 Correct 137 ms 121692 KB Output is correct
9 Correct 134 ms 121688 KB Output is correct
10 Correct 136 ms 121904 KB Output is correct
11 Correct 116 ms 121692 KB Output is correct
12 Correct 143 ms 121692 KB Output is correct
13 Correct 135 ms 121688 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 25 ms 121648 KB Output is correct
2 Correct 25 ms 121692 KB Output is correct
3 Correct 137 ms 121916 KB Output is correct
4 Correct 141 ms 121936 KB Output is correct
5 Correct 134 ms 121692 KB Output is correct
6 Correct 136 ms 121688 KB Output is correct
7 Correct 134 ms 121692 KB Output is correct
8 Correct 137 ms 121692 KB Output is correct
9 Correct 134 ms 121688 KB Output is correct
10 Correct 136 ms 121904 KB Output is correct
11 Correct 116 ms 121692 KB Output is correct
12 Correct 143 ms 121692 KB Output is correct
13 Correct 135 ms 121688 KB Output is correct
14 Correct 30 ms 121688 KB Output is correct
15 Correct 35 ms 121692 KB Output is correct
16 Correct 139 ms 122172 KB Output is correct
17 Correct 134 ms 121924 KB Output is correct
18 Correct 135 ms 121692 KB Output is correct
19 Correct 133 ms 121844 KB Output is correct
20 Correct 137 ms 121900 KB Output is correct
21 Correct 136 ms 121692 KB Output is correct
22 Correct 136 ms 121932 KB Output is correct
23 Correct 134 ms 121692 KB Output is correct
24 Correct 132 ms 121848 KB Output is correct
25 Correct 135 ms 121688 KB Output is correct
26 Correct 134 ms 121852 KB Output is correct
27 Correct 136 ms 121936 KB Output is correct
28 Correct 133 ms 121856 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 25 ms 121648 KB Output is correct
2 Correct 25 ms 121692 KB Output is correct
3 Correct 137 ms 121916 KB Output is correct
4 Correct 141 ms 121936 KB Output is correct
5 Correct 134 ms 121692 KB Output is correct
6 Correct 136 ms 121688 KB Output is correct
7 Correct 134 ms 121692 KB Output is correct
8 Correct 137 ms 121692 KB Output is correct
9 Correct 134 ms 121688 KB Output is correct
10 Correct 136 ms 121904 KB Output is correct
11 Correct 116 ms 121692 KB Output is correct
12 Correct 143 ms 121692 KB Output is correct
13 Correct 135 ms 121688 KB Output is correct
14 Correct 30 ms 121688 KB Output is correct
15 Correct 35 ms 121692 KB Output is correct
16 Correct 139 ms 122172 KB Output is correct
17 Correct 134 ms 121924 KB Output is correct
18 Correct 135 ms 121692 KB Output is correct
19 Correct 133 ms 121844 KB Output is correct
20 Correct 137 ms 121900 KB Output is correct
21 Correct 136 ms 121692 KB Output is correct
22 Correct 136 ms 121932 KB Output is correct
23 Correct 134 ms 121692 KB Output is correct
24 Correct 132 ms 121848 KB Output is correct
25 Correct 135 ms 121688 KB Output is correct
26 Correct 134 ms 121852 KB Output is correct
27 Correct 136 ms 121936 KB Output is correct
28 Correct 133 ms 121856 KB Output is correct
29 Correct 136 ms 121960 KB Output is correct
30 Correct 138 ms 122196 KB Output is correct
31 Correct 134 ms 121944 KB Output is correct
32 Correct 151 ms 121928 KB Output is correct
33 Correct 135 ms 121916 KB Output is correct
34 Correct 136 ms 121944 KB Output is correct
35 Correct 147 ms 121936 KB Output is correct
36 Correct 138 ms 121936 KB Output is correct
37 Correct 136 ms 121936 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 25 ms 121648 KB Output is correct
2 Correct 25 ms 121692 KB Output is correct
3 Correct 137 ms 121916 KB Output is correct
4 Correct 141 ms 121936 KB Output is correct
5 Correct 134 ms 121692 KB Output is correct
6 Correct 136 ms 121688 KB Output is correct
7 Correct 134 ms 121692 KB Output is correct
8 Correct 137 ms 121692 KB Output is correct
9 Correct 134 ms 121688 KB Output is correct
10 Correct 136 ms 121904 KB Output is correct
11 Correct 116 ms 121692 KB Output is correct
12 Correct 143 ms 121692 KB Output is correct
13 Correct 135 ms 121688 KB Output is correct
14 Correct 30 ms 121688 KB Output is correct
15 Correct 35 ms 121692 KB Output is correct
16 Correct 139 ms 122172 KB Output is correct
17 Correct 134 ms 121924 KB Output is correct
18 Correct 135 ms 121692 KB Output is correct
19 Correct 133 ms 121844 KB Output is correct
20 Correct 137 ms 121900 KB Output is correct
21 Correct 136 ms 121692 KB Output is correct
22 Correct 136 ms 121932 KB Output is correct
23 Correct 134 ms 121692 KB Output is correct
24 Correct 132 ms 121848 KB Output is correct
25 Correct 135 ms 121688 KB Output is correct
26 Correct 134 ms 121852 KB Output is correct
27 Correct 136 ms 121936 KB Output is correct
28 Correct 133 ms 121856 KB Output is correct
29 Correct 136 ms 121960 KB Output is correct
30 Correct 138 ms 122196 KB Output is correct
31 Correct 134 ms 121944 KB Output is correct
32 Correct 151 ms 121928 KB Output is correct
33 Correct 135 ms 121916 KB Output is correct
34 Correct 136 ms 121944 KB Output is correct
35 Correct 147 ms 121936 KB Output is correct
36 Correct 138 ms 121936 KB Output is correct
37 Correct 136 ms 121936 KB Output is correct
38 Correct 194 ms 124484 KB Output is correct
39 Correct 125 ms 168928 KB Output is correct
40 Correct 195 ms 124336 KB Output is correct
41 Correct 219 ms 124184 KB Output is correct
42 Correct 183 ms 124208 KB Output is correct
43 Correct 171 ms 123220 KB Output is correct
44 Correct 159 ms 122776 KB Output is correct
45 Correct 136 ms 158688 KB Output is correct
46 Correct 145 ms 158800 KB Output is correct
47 Correct 119 ms 163664 KB Output is correct
48 Correct 127 ms 163668 KB Output is correct
49 Correct 134 ms 159056 KB Output is correct
50 Correct 124 ms 158800 KB Output is correct
51 Correct 113 ms 159972 KB Output is correct
52 Correct 118 ms 160028 KB Output is correct
53 Correct 155 ms 123984 KB Output is correct
54 Correct 143 ms 158548 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 24 ms 121688 KB Output is correct
2 Correct 31 ms 121692 KB Output is correct
3 Correct 37 ms 121692 KB Output is correct
4 Correct 27 ms 121688 KB Output is correct
5 Execution timed out 5084 ms 121852 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 26 ms 121684 KB Output is correct
2 Correct 39 ms 121936 KB Output is correct
3 Correct 30 ms 121688 KB Output is correct
4 Correct 2714 ms 121888 KB Output is correct
5 Execution timed out 5003 ms 121884 KB Time limit exceeded
6 Halted 0 ms 0 KB -