oj.uz

Submission #1000501

# Submission time Handle Problem Language Result Execution time Memory
1000501 2024-06-17T15:50:37 Z onbert Jail (JOI22_jail) C++17
10 / 100
 1277 ms 286032 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;
        fa[cnter+1] = newid[u];
        dfs2(v);
    }
    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);
    }
    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});
    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 addd) {
    if (r<findl || findr<l) return;
    if (findl<=l && r<=findr) {
        if (addd) seg[id].insert(val);
        else seg[id].erase(val);
        return;
    }
    int mid = (l+r)/2;
    update(id*2, l, mid, findl, findr, val, addd);
    update(id*2+1, mid+1, r, findl, findr, val, addd);
}
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 23 ms 105820 KB Output is correct
2 Correct 25 ms 105820 KB Output is correct
3 Correct 24 ms 105820 KB Output is correct
4 Correct 39 ms 105804 KB Output is correct
5 Correct 55 ms 105816 KB Output is correct
6 Correct 26 ms 105816 KB Output is correct
7 Correct 25 ms 105820 KB Output is correct
8 Correct 26 ms 105980 KB Output is correct
9 Correct 86 ms 109904 KB Output is correct
10 Correct 188 ms 195152 KB Output is correct
11 Correct 32 ms 105880 KB Output is correct
12 Correct 74 ms 105816 KB Output is correct
13 Correct 302 ms 214188 KB Output is correct
14 Correct 248 ms 214164 KB Output is correct
15 Correct 505 ms 233056 KB Output is correct
16 Correct 1277 ms 286032 KB Output is correct
17 Correct 474 ms 245224 KB Output is correct
18 Correct 281 ms 218196 KB Output is correct
19 Correct 431 ms 239440 KB Output is correct
20 Correct 380 ms 239444 KB Output is correct
21 Correct 475 ms 244944 KB Output is correct
22 Correct 200 ms 203092 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 105820 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 25 ms 105820 KB Output is correct
4 Correct 30 ms 106056 KB Output is correct
5 Correct 25 ms 105820 KB Output is correct
6 Correct 25 ms 105820 KB Output is correct
7 Correct 26 ms 105820 KB Output is correct
8 Correct 26 ms 105816 KB Output is correct
9 Correct 25 ms 105964 KB Output is correct
10 Correct 25 ms 105816 KB Output is correct
11 Correct 25 ms 105824 KB Output is correct
12 Correct 24 ms 105816 KB Output is correct
13 Correct 23 ms 105820 KB Output is correct

Subtask #3
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 105820 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 25 ms 105820 KB Output is correct
4 Correct 30 ms 106056 KB Output is correct
5 Correct 25 ms 105820 KB Output is correct
6 Correct 25 ms 105820 KB Output is correct
7 Correct 26 ms 105820 KB Output is correct
8 Correct 26 ms 105816 KB Output is correct
9 Correct 25 ms 105964 KB Output is correct
10 Correct 25 ms 105816 KB Output is correct
11 Correct 25 ms 105824 KB Output is correct
12 Correct 24 ms 105816 KB Output is correct
13 Correct 23 ms 105820 KB Output is correct
14 Correct 23 ms 105816 KB Output is correct
15 Correct 25 ms 105764 KB Output is correct
16 Correct 28 ms 105820 KB Output is correct
17 Correct 26 ms 105820 KB Output is correct
18 Correct 26 ms 105948 KB Output is correct
19 Correct 24 ms 105820 KB Output is correct
20 Correct 26 ms 105820 KB Output is correct
21 Correct 26 ms 105920 KB Output is correct
22 Correct 30 ms 105816 KB Output is correct
23 Correct 25 ms 105816 KB Output is correct
24 Runtime error 93 ms 214356 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 24 ms 105820 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 25 ms 105820 KB Output is correct
4 Correct 30 ms 106056 KB Output is correct
5 Correct 25 ms 105820 KB Output is correct
6 Correct 25 ms 105820 KB Output is correct
7 Correct 26 ms 105820 KB Output is correct
8 Correct 26 ms 105816 KB Output is correct
9 Correct 25 ms 105964 KB Output is correct
10 Correct 25 ms 105816 KB Output is correct
11 Correct 25 ms 105824 KB Output is correct
12 Correct 24 ms 105816 KB Output is correct
13 Correct 23 ms 105820 KB Output is correct
14 Correct 23 ms 105816 KB Output is correct
15 Correct 25 ms 105764 KB Output is correct
16 Correct 28 ms 105820 KB Output is correct
17 Correct 26 ms 105820 KB Output is correct
18 Correct 26 ms 105948 KB Output is correct
19 Correct 24 ms 105820 KB Output is correct
20 Correct 26 ms 105820 KB Output is correct
21 Correct 26 ms 105920 KB Output is correct
22 Correct 30 ms 105816 KB Output is correct
23 Correct 25 ms 105816 KB Output is correct
24 Runtime error 93 ms 214356 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 24 ms 105820 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 25 ms 105820 KB Output is correct
4 Correct 30 ms 106056 KB Output is correct
5 Correct 25 ms 105820 KB Output is correct
6 Correct 25 ms 105820 KB Output is correct
7 Correct 26 ms 105820 KB Output is correct
8 Correct 26 ms 105816 KB Output is correct
9 Correct 25 ms 105964 KB Output is correct
10 Correct 25 ms 105816 KB Output is correct
11 Correct 25 ms 105824 KB Output is correct
12 Correct 24 ms 105816 KB Output is correct
13 Correct 23 ms 105820 KB Output is correct
14 Correct 23 ms 105816 KB Output is correct
15 Correct 25 ms 105764 KB Output is correct
16 Correct 28 ms 105820 KB Output is correct
17 Correct 26 ms 105820 KB Output is correct
18 Correct 26 ms 105948 KB Output is correct
19 Correct 24 ms 105820 KB Output is correct
20 Correct 26 ms 105820 KB Output is correct
21 Correct 26 ms 105920 KB Output is correct
22 Correct 30 ms 105816 KB Output is correct
23 Correct 25 ms 105816 KB Output is correct
24 Runtime error 93 ms 214356 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 25 ms 105816 KB Output is correct
2 Correct 26 ms 105928 KB Output is correct
3 Correct 24 ms 105820 KB Output is correct
4 Correct 23 ms 105844 KB Output is correct
5 Correct 33 ms 105820 KB Output is correct
6 Correct 26 ms 105836 KB Output is correct
7 Correct 26 ms 105876 KB Output is correct
8 Correct 24 ms 105816 KB Output is correct
9 Correct 25 ms 105820 KB Output is correct
10 Runtime error 95 ms 214356 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 23 ms 105820 KB Output is correct
2 Correct 25 ms 105820 KB Output is correct
3 Correct 24 ms 105820 KB Output is correct
4 Correct 39 ms 105804 KB Output is correct
5 Correct 55 ms 105816 KB Output is correct
6 Correct 26 ms 105816 KB Output is correct
7 Correct 25 ms 105820 KB Output is correct
8 Correct 26 ms 105980 KB Output is correct
9 Correct 86 ms 109904 KB Output is correct
10 Correct 188 ms 195152 KB Output is correct
11 Correct 32 ms 105880 KB Output is correct
12 Correct 74 ms 105816 KB Output is correct
13 Correct 302 ms 214188 KB Output is correct
14 Correct 248 ms 214164 KB Output is correct
15 Correct 505 ms 233056 KB Output is correct
16 Correct 1277 ms 286032 KB Output is correct
17 Correct 474 ms 245224 KB Output is correct
18 Correct 281 ms 218196 KB Output is correct
19 Correct 431 ms 239440 KB Output is correct
20 Correct 380 ms 239444 KB Output is correct
21 Correct 475 ms 244944 KB Output is correct
22 Correct 200 ms 203092 KB Output is correct
23 Correct 24 ms 105820 KB Output is correct
24 Correct 24 ms 105816 KB Output is correct
25 Correct 25 ms 105820 KB Output is correct
26 Correct 30 ms 106056 KB Output is correct
27 Correct 25 ms 105820 KB Output is correct
28 Correct 25 ms 105820 KB Output is correct
29 Correct 26 ms 105820 KB Output is correct
30 Correct 26 ms 105816 KB Output is correct
31 Correct 25 ms 105964 KB Output is correct
32 Correct 25 ms 105816 KB Output is correct
33 Correct 25 ms 105824 KB Output is correct
34 Correct 24 ms 105816 KB Output is correct
35 Correct 23 ms 105820 KB Output is correct
36 Correct 23 ms 105816 KB Output is correct
37 Correct 25 ms 105764 KB Output is correct
38 Correct 28 ms 105820 KB Output is correct
39 Correct 26 ms 105820 KB Output is correct
40 Correct 26 ms 105948 KB Output is correct
41 Correct 24 ms 105820 KB Output is correct
42 Correct 26 ms 105820 KB Output is correct
43 Correct 26 ms 105920 KB Output is correct
44 Correct 30 ms 105816 KB Output is correct
45 Correct 25 ms 105816 KB Output is correct
46 Runtime error 93 ms 214356 KB Execution killed with signal 11
47 Halted 0 ms 0 KB -