oj.uz

Submission #1000481

# Submission time Handle Problem Language Result Execution time Memory
1000481 2024-06-17T14:55:11 Z onbert Jail (JOI22_jail) C++17
10 / 100
 1146 ms 286128 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() <= 40);
    }
    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++) 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);
    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 24 ms 105816 KB Output is correct
2 Correct 26 ms 105816 KB Output is correct
3 Correct 26 ms 105816 KB Output is correct
4 Correct 39 ms 105788 KB Output is correct
5 Correct 58 ms 105928 KB Output is correct
6 Correct 26 ms 105816 KB Output is correct
7 Correct 27 ms 105808 KB Output is correct
8 Correct 27 ms 105988 KB Output is correct
9 Correct 80 ms 109904 KB Output is correct
10 Correct 158 ms 195156 KB Output is correct
11 Correct 35 ms 105816 KB Output is correct
12 Correct 79 ms 105820 KB Output is correct
13 Correct 289 ms 214100 KB Output is correct
14 Correct 242 ms 214096 KB Output is correct
15 Correct 470 ms 233200 KB Output is correct
16 Correct 1146 ms 286128 KB Output is correct
17 Correct 461 ms 245416 KB Output is correct
18 Correct 274 ms 218196 KB Output is correct
19 Correct 424 ms 239444 KB Output is correct
20 Correct 366 ms 239700 KB Output is correct
21 Correct 427 ms 244948 KB Output is correct
22 Correct 187 ms 203088 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 105816 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 27 ms 105820 KB Output is correct
4 Correct 27 ms 106072 KB Output is correct
5 Correct 27 ms 106076 KB Output is correct
6 Correct 28 ms 106076 KB Output is correct
7 Correct 27 ms 106076 KB Output is correct
8 Correct 26 ms 106120 KB Output is correct
9 Correct 27 ms 106072 KB Output is correct
10 Correct 28 ms 106076 KB Output is correct
11 Correct 24 ms 106072 KB Output is correct
12 Correct 25 ms 105820 KB Output is correct
13 Correct 25 ms 105820 KB Output is correct

Subtask #3
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 105816 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 27 ms 105820 KB Output is correct
4 Correct 27 ms 106072 KB Output is correct
5 Correct 27 ms 106076 KB Output is correct
6 Correct 28 ms 106076 KB Output is correct
7 Correct 27 ms 106076 KB Output is correct
8 Correct 26 ms 106120 KB Output is correct
9 Correct 27 ms 106072 KB Output is correct
10 Correct 28 ms 106076 KB Output is correct
11 Correct 24 ms 106072 KB Output is correct
12 Correct 25 ms 105820 KB Output is correct
13 Correct 25 ms 105820 KB Output is correct
14 Correct 26 ms 105820 KB Output is correct
15 Correct 26 ms 105932 KB Output is correct
16 Correct 27 ms 105844 KB Output is correct
17 Correct 27 ms 105808 KB Output is correct
18 Runtime error 94 ms 215120 KB Execution killed with signal 6
19 Halted 0 ms 0 KB -

Subtask #4
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 105816 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 27 ms 105820 KB Output is correct
4 Correct 27 ms 106072 KB Output is correct
5 Correct 27 ms 106076 KB Output is correct
6 Correct 28 ms 106076 KB Output is correct
7 Correct 27 ms 106076 KB Output is correct
8 Correct 26 ms 106120 KB Output is correct
9 Correct 27 ms 106072 KB Output is correct
10 Correct 28 ms 106076 KB Output is correct
11 Correct 24 ms 106072 KB Output is correct
12 Correct 25 ms 105820 KB Output is correct
13 Correct 25 ms 105820 KB Output is correct
14 Correct 26 ms 105820 KB Output is correct
15 Correct 26 ms 105932 KB Output is correct
16 Correct 27 ms 105844 KB Output is correct
17 Correct 27 ms 105808 KB Output is correct
18 Runtime error 94 ms 215120 KB Execution killed with signal 6
19 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 105816 KB Output is correct
2 Correct 24 ms 105816 KB Output is correct
3 Correct 27 ms 105820 KB Output is correct
4 Correct 27 ms 106072 KB Output is correct
5 Correct 27 ms 106076 KB Output is correct
6 Correct 28 ms 106076 KB Output is correct
7 Correct 27 ms 106076 KB Output is correct
8 Correct 26 ms 106120 KB Output is correct
9 Correct 27 ms 106072 KB Output is correct
10 Correct 28 ms 106076 KB Output is correct
11 Correct 24 ms 106072 KB Output is correct
12 Correct 25 ms 105820 KB Output is correct
13 Correct 25 ms 105820 KB Output is correct
14 Correct 26 ms 105820 KB Output is correct
15 Correct 26 ms 105932 KB Output is correct
16 Correct 27 ms 105844 KB Output is correct
17 Correct 27 ms 105808 KB Output is correct
18 Runtime error 94 ms 215120 KB Execution killed with signal 6
19 Halted 0 ms 0 KB -

Subtask #6
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 105816 KB Output is correct
2 Correct 23 ms 105820 KB Output is correct
3 Correct 33 ms 105656 KB Output is correct
4 Correct 24 ms 105820 KB Output is correct
5 Correct 31 ms 105780 KB Output is correct
6 Correct 28 ms 105820 KB Output is correct
7 Correct 28 ms 105812 KB Output is correct
8 Correct 25 ms 105820 KB Output is correct
9 Correct 25 ms 105820 KB Output is correct
10 Correct 27 ms 105876 KB Output is correct
11 Correct 27 ms 105820 KB Output is correct
12 Correct 30 ms 106064 KB Output is correct
13 Correct 72 ms 105820 KB Output is correct
14 Correct 107 ms 105980 KB Output is correct
15 Incorrect 94 ms 105816 KB Output isn't correct
16 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 105816 KB Output is correct
2 Correct 26 ms 105816 KB Output is correct
3 Correct 26 ms 105816 KB Output is correct
4 Correct 39 ms 105788 KB Output is correct
5 Correct 58 ms 105928 KB Output is correct
6 Correct 26 ms 105816 KB Output is correct
7 Correct 27 ms 105808 KB Output is correct
8 Correct 27 ms 105988 KB Output is correct
9 Correct 80 ms 109904 KB Output is correct
10 Correct 158 ms 195156 KB Output is correct
11 Correct 35 ms 105816 KB Output is correct
12 Correct 79 ms 105820 KB Output is correct
13 Correct 289 ms 214100 KB Output is correct
14 Correct 242 ms 214096 KB Output is correct
15 Correct 470 ms 233200 KB Output is correct
16 Correct 1146 ms 286128 KB Output is correct
17 Correct 461 ms 245416 KB Output is correct
18 Correct 274 ms 218196 KB Output is correct
19 Correct 424 ms 239444 KB Output is correct
20 Correct 366 ms 239700 KB Output is correct
21 Correct 427 ms 244948 KB Output is correct
22 Correct 187 ms 203088 KB Output is correct
23 Correct 25 ms 105816 KB Output is correct
24 Correct 24 ms 105816 KB Output is correct
25 Correct 27 ms 105820 KB Output is correct
26 Correct 27 ms 106072 KB Output is correct
27 Correct 27 ms 106076 KB Output is correct
28 Correct 28 ms 106076 KB Output is correct
29 Correct 27 ms 106076 KB Output is correct
30 Correct 26 ms 106120 KB Output is correct
31 Correct 27 ms 106072 KB Output is correct
32 Correct 28 ms 106076 KB Output is correct
33 Correct 24 ms 106072 KB Output is correct
34 Correct 25 ms 105820 KB Output is correct
35 Correct 25 ms 105820 KB Output is correct
36 Correct 26 ms 105820 KB Output is correct
37 Correct 26 ms 105932 KB Output is correct
38 Correct 27 ms 105844 KB Output is correct
39 Correct 27 ms 105808 KB Output is correct
40 Runtime error 94 ms 215120 KB Execution killed with signal 6
41 Halted 0 ms 0 KB -