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Submission #1000486

# Submission time Handle Problem Language Result Execution time Memory
1000486 2024-06-17T15:15:14 Z onbert Jail (JOI22_jail) C++17
10 / 100
 1202 ms 286036 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long

void add(vector<pair<int,int>> &v, int L, int R) {
    if (v.size() > 0 && R+1 == v.back().first) v.back().first = L;
    else v.push_back({L, R});
}

const int maxn = 120005, maxN = 500005, lgn = 20, INF = 1e18;
int n, m;
vector<int> ADJ[maxn], adj[maxn];
pair<int,int> a[maxn];
int sz[maxn], fa[maxn], d[maxn], newid[maxn], lim[maxn], cnter = 0;

bool cmp(int x, int y) {
    return sz[x] > sz[y];
}

void dfs1(int u) {
    sz[u] = 1;
    for (int v:ADJ[u]) {
        ADJ[v].erase(find(ADJ[v].begin(), ADJ[v].end(), u));
        dfs1(v);
        sz[u] += sz[v];
    }
    sort(ADJ[u].begin(), ADJ[u].end(), cmp);
}
void dfs2(int u) {
    cnter++;
    newid[u] = cnter;
    for (int v:ADJ[u]) {
        d[cnter+1] = d[newid[u]] + 1;
        dfs2(v);
        fa[newid[v]] = newid[u];
    }
    lim[newid[u]] = cnter;
}
pair<int, vector<pair<int,int>>> binlift[maxn][lgn];
void dfs3(int u) {
    for (int i=1;i<lgn;i++) {
        if (binlift[u][i-1].first==-1 || binlift[binlift[u][i-1].first][i-1].first==-1) break;
        binlift[u][i].first = binlift[binlift[u][i-1].first][i-1].first;
        binlift[u][i].second = binlift[u][i-1].second;
        for (auto [L, R]:binlift[binlift[u][i-1].first][i-1].second) add(binlift[u][i].second, L, R);
        assert(binlift[u][i].second.size() <= 60);
    }
    for (int v:adj[u]) {
        binlift[v][0] = {u, {{u, u}}};
        dfs3(v);
    }
}
vector<pair<int,int>> PATH(int u, int v) {
    if (d[u] > d[v]) swap(u, v);
    vector<pair<int,int>> U = {{u, u}}, V = {{v, v}};
    for (int i=lgn-1;i>=0;i--) if (d[v] - (1<<i) >= d[u]) {
        for (auto [L, R]:binlift[v][i].second) add(V, L, R);
        v = binlift[v][i].first;
    }
    if (u==v) return V;
    for (int i=lgn-1;i>=0;i--) if (binlift[u][i].first != binlift[v][i].first) {
        for (auto [L, R]:binlift[u][i].second) add(U, L, R);
        u = binlift[u][i].first;
        for (auto [L, R]:binlift[v][i].second) add(V, L, R);
        v = binlift[v][i].first;
    }
    add(V, fa[v], fa[v]);
    for (auto [L, R]:U) V.push_back({L, R});
    // assert(V.size() < 40);
    return V;
}

set<int> seg[maxN];
void build(int id, int l, int r) {
    seg[id].clear();
    if (l==r) return;
    int mid = (l+r)/2;
    build(id*2, l, mid); build(id*2+1, mid+1, r);
}
void update(int id, int l, int r, int findl, int findr, int val, bool psh) {
    if (r<findl || findr<l) return;
    if (findl<=l && r<=findr) {
        if (psh) seg[id].insert(val);
        else seg[id].erase(val);
        return;
    }
    int mid = (l+r)/2;
    update(id*2, l, mid, findl, findr, val, psh);
    update(id*2+1, mid+1, r, findl, findr, val, psh);
}
vector<int> nxt;
void qry(int id, int l, int r, int target) {
    if (r<target || target<l) return;
    for (int i:seg[id]) nxt.push_back(i);
    if (l==r) return;
    int mid = (l+r)/2;
    qry(id*2, l, mid, target); qry(id*2+1, mid+1, r, target);
}

int S[maxn], T[maxn], vis[maxn];
bool die = false;
set<int> exist;

void dfs4(int u) {
    int s = a[u].first, t = a[u].second;
    vis[u] = 1;
    vector<pair<int,int>> path = PATH(s, t);
    for (auto [L, R]:path) {
        int cur = L-1;
        while (exist.size() > 0) {
            cur = *exist.upper_bound(cur);
            if (cur > R) break;
            if (cur==s) continue;
            int v = S[cur];
            // cout << u << " " << v << endl;
            if (!vis[v]) dfs4(v);
            else if (vis[v]==1) die = true;
            if (die) return;
        }
    }
    nxt.clear();
    qry(1, 1, n, t);
    for (int v:nxt) if (v!=u) {
        // cout << u << " " << v << endl;
        if (!vis[v]) dfs4(v);
        else if (vis[v]==1) die = true;
        if (die) return;
    }
    for (auto [L, R]:path) update(1, 1, n, L, R, u, 0);
    exist.erase(s);
    vis[u] = 2;
}

void solve() {
    cin >> n;
    for (int i=1;i<=n;i++) sz[i] = 0, adj[i].clear(), ADJ[i].clear();
    cnter = 0;
    for (int i=1;i<=n-1;i++) {
        int u, v;
        cin >> u >> v;
        ADJ[u].push_back(v);
        ADJ[v].push_back(u);
    }
    fa[1] = 0, d[1] = 0;
    dfs1(1); dfs2(1);
    // for (int i=1;i<=n;i++) cout << newid[i] << " "; cout << endl;
    for (int i=1;i<=n;i++) for (int j:ADJ[i]) adj[newid[i]].push_back(newid[j]);
    for (int i=1;i<=n;i++) for (int j=0;j<lgn;j++) binlift[i][j] = {-1, {}};
    dfs3(1);
    // for (int i=1;i<=n;i++) {
    //     cout << i << endl;
    //     for (int j=0;j<lgn;j++) {
    //         cout << binlift[i][j].first << " ";
    //         for (auto [L, R]:binlift[i][j].second) cout << L << '.' << R << " ";
    //         cout << endl;
    //         if (binlift[i][j].first==-1) break;
    //     }
    //     cout << endl;
    // }
    // return;
    exist = {INF};
    build(1, 1, n);
    for (int i=1;i<=n;i++) S[i] = -1, T[i] = -1;
    cin >> m;
    for (int i=1;i<=m;i++) {
        int s, t;
        cin >> s >> t;
        s = newid[s], t = newid[t];
        a[i] = {s, t};
        S[s] = T[t] = i;
        exist.insert(a[i].first);
        vector<pair<int,int>> path = PATH(a[i].first, a[i].second);
        for (auto [L, R]:path) update(1, 1, n, L, R, i, 1);
    }
    for (int i=1;i<=m;i++) vis[i] = 0;
    die = false;
    for (int i=1;i<=m;i++) if (!vis[i]) {
        dfs4(i);
        if (die) break;
    }
    if (die) cout << "No\n";
    else cout << "Yes\n";
}

signed main() {
    ios::sync_with_stdio(0); cin.tie(0);
    int t;
    cin >> t;
    while (t--) solve();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 107612 KB Output is correct
2 Correct 17 ms 107612 KB Output is correct
3 Correct 18 ms 107612 KB Output is correct
4 Correct 32 ms 107868 KB Output is correct
5 Correct 49 ms 107868 KB Output is correct
6 Correct 20 ms 107868 KB Output is correct
7 Correct 20 ms 107864 KB Output is correct
8 Correct 22 ms 107868 KB Output is correct
9 Correct 80 ms 111752 KB Output is correct
10 Correct 203 ms 195156 KB Output is correct
11 Correct 26 ms 107612 KB Output is correct
12 Correct 68 ms 107864 KB Output is correct
13 Correct 294 ms 214096 KB Output is correct
14 Correct 239 ms 214096 KB Output is correct
15 Correct 528 ms 233088 KB Output is correct
16 Correct 1202 ms 286036 KB Output is correct
17 Correct 480 ms 245328 KB Output is correct
18 Correct 278 ms 218192 KB Output is correct
19 Correct 423 ms 239444 KB Output is correct
20 Correct 376 ms 239444 KB Output is correct
21 Correct 435 ms 244996 KB Output is correct
22 Correct 185 ms 203092 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 107668 KB Output is correct
2 Correct 18 ms 107724 KB Output is correct
3 Correct 25 ms 107924 KB Output is correct
4 Correct 19 ms 107868 KB Output is correct
5 Correct 20 ms 107868 KB Output is correct
6 Correct 19 ms 107868 KB Output is correct
7 Correct 20 ms 107868 KB Output is correct
8 Correct 24 ms 107916 KB Output is correct
9 Correct 20 ms 107868 KB Output is correct
10 Correct 20 ms 107868 KB Output is correct
11 Correct 19 ms 107868 KB Output is correct
12 Correct 19 ms 107736 KB Output is correct
13 Correct 19 ms 107728 KB Output is correct

Subtask #3
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 107668 KB Output is correct
2 Correct 18 ms 107724 KB Output is correct
3 Correct 25 ms 107924 KB Output is correct
4 Correct 19 ms 107868 KB Output is correct
5 Correct 20 ms 107868 KB Output is correct
6 Correct 19 ms 107868 KB Output is correct
7 Correct 20 ms 107868 KB Output is correct
8 Correct 24 ms 107916 KB Output is correct
9 Correct 20 ms 107868 KB Output is correct
10 Correct 20 ms 107868 KB Output is correct
11 Correct 19 ms 107868 KB Output is correct
12 Correct 19 ms 107736 KB Output is correct
13 Correct 19 ms 107728 KB Output is correct
14 Correct 17 ms 107728 KB Output is correct
15 Correct 18 ms 107612 KB Output is correct
16 Correct 19 ms 107868 KB Output is correct
17 Correct 19 ms 107868 KB Output is correct
18 Correct 19 ms 107868 KB Output is correct
19 Correct 18 ms 107840 KB Output is correct
20 Correct 20 ms 107868 KB Output is correct
21 Correct 21 ms 107908 KB Output is correct
22 Correct 21 ms 107868 KB Output is correct
23 Correct 17 ms 107608 KB Output is correct
24 Runtime error 123 ms 218192 KB Execution killed with signal 11
25 Halted 0 ms 0 KB -

Subtask #4
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 107668 KB Output is correct
2 Correct 18 ms 107724 KB Output is correct
3 Correct 25 ms 107924 KB Output is correct
4 Correct 19 ms 107868 KB Output is correct
5 Correct 20 ms 107868 KB Output is correct
6 Correct 19 ms 107868 KB Output is correct
7 Correct 20 ms 107868 KB Output is correct
8 Correct 24 ms 107916 KB Output is correct
9 Correct 20 ms 107868 KB Output is correct
10 Correct 20 ms 107868 KB Output is correct
11 Correct 19 ms 107868 KB Output is correct
12 Correct 19 ms 107736 KB Output is correct
13 Correct 19 ms 107728 KB Output is correct
14 Correct 17 ms 107728 KB Output is correct
15 Correct 18 ms 107612 KB Output is correct
16 Correct 19 ms 107868 KB Output is correct
17 Correct 19 ms 107868 KB Output is correct
18 Correct 19 ms 107868 KB Output is correct
19 Correct 18 ms 107840 KB Output is correct
20 Correct 20 ms 107868 KB Output is correct
21 Correct 21 ms 107908 KB Output is correct
22 Correct 21 ms 107868 KB Output is correct
23 Correct 17 ms 107608 KB Output is correct
24 Runtime error 123 ms 218192 KB Execution killed with signal 11
25 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 107668 KB Output is correct
2 Correct 18 ms 107724 KB Output is correct
3 Correct 25 ms 107924 KB Output is correct
4 Correct 19 ms 107868 KB Output is correct
5 Correct 20 ms 107868 KB Output is correct
6 Correct 19 ms 107868 KB Output is correct
7 Correct 20 ms 107868 KB Output is correct
8 Correct 24 ms 107916 KB Output is correct
9 Correct 20 ms 107868 KB Output is correct
10 Correct 20 ms 107868 KB Output is correct
11 Correct 19 ms 107868 KB Output is correct
12 Correct 19 ms 107736 KB Output is correct
13 Correct 19 ms 107728 KB Output is correct
14 Correct 17 ms 107728 KB Output is correct
15 Correct 18 ms 107612 KB Output is correct
16 Correct 19 ms 107868 KB Output is correct
17 Correct 19 ms 107868 KB Output is correct
18 Correct 19 ms 107868 KB Output is correct
19 Correct 18 ms 107840 KB Output is correct
20 Correct 20 ms 107868 KB Output is correct
21 Correct 21 ms 107908 KB Output is correct
22 Correct 21 ms 107868 KB Output is correct
23 Correct 17 ms 107608 KB Output is correct
24 Runtime error 123 ms 218192 KB Execution killed with signal 11
25 Halted 0 ms 0 KB -

Subtask #6
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 107608 KB Output is correct
2 Correct 18 ms 107612 KB Output is correct
3 Correct 19 ms 107612 KB Output is correct
4 Correct 18 ms 107748 KB Output is correct
5 Correct 25 ms 107608 KB Output is correct
6 Correct 18 ms 107868 KB Output is correct
7 Correct 20 ms 107868 KB Output is correct
8 Correct 19 ms 107720 KB Output is correct
9 Correct 19 ms 107844 KB Output is correct
10 Runtime error 87 ms 218192 KB Execution killed with signal 11
11 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 107612 KB Output is correct
2 Correct 17 ms 107612 KB Output is correct
3 Correct 18 ms 107612 KB Output is correct
4 Correct 32 ms 107868 KB Output is correct
5 Correct 49 ms 107868 KB Output is correct
6 Correct 20 ms 107868 KB Output is correct
7 Correct 20 ms 107864 KB Output is correct
8 Correct 22 ms 107868 KB Output is correct
9 Correct 80 ms 111752 KB Output is correct
10 Correct 203 ms 195156 KB Output is correct
11 Correct 26 ms 107612 KB Output is correct
12 Correct 68 ms 107864 KB Output is correct
13 Correct 294 ms 214096 KB Output is correct
14 Correct 239 ms 214096 KB Output is correct
15 Correct 528 ms 233088 KB Output is correct
16 Correct 1202 ms 286036 KB Output is correct
17 Correct 480 ms 245328 KB Output is correct
18 Correct 278 ms 218192 KB Output is correct
19 Correct 423 ms 239444 KB Output is correct
20 Correct 376 ms 239444 KB Output is correct
21 Correct 435 ms 244996 KB Output is correct
22 Correct 185 ms 203092 KB Output is correct
23 Correct 19 ms 107668 KB Output is correct
24 Correct 18 ms 107724 KB Output is correct
25 Correct 25 ms 107924 KB Output is correct
26 Correct 19 ms 107868 KB Output is correct
27 Correct 20 ms 107868 KB Output is correct
28 Correct 19 ms 107868 KB Output is correct
29 Correct 20 ms 107868 KB Output is correct
30 Correct 24 ms 107916 KB Output is correct
31 Correct 20 ms 107868 KB Output is correct
32 Correct 20 ms 107868 KB Output is correct
33 Correct 19 ms 107868 KB Output is correct
34 Correct 19 ms 107736 KB Output is correct
35 Correct 19 ms 107728 KB Output is correct
36 Correct 17 ms 107728 KB Output is correct
37 Correct 18 ms 107612 KB Output is correct
38 Correct 19 ms 107868 KB Output is correct
39 Correct 19 ms 107868 KB Output is correct
40 Correct 19 ms 107868 KB Output is correct
41 Correct 18 ms 107840 KB Output is correct
42 Correct 20 ms 107868 KB Output is correct
43 Correct 21 ms 107908 KB Output is correct
44 Correct 21 ms 107868 KB Output is correct
45 Correct 17 ms 107608 KB Output is correct
46 Runtime error 123 ms 218192 KB Execution killed with signal 11
47 Halted 0 ms 0 KB -