oj.uz

Submission #1000482

# Submission time Handle Problem Language Result Execution time Memory
1000482 2024-06-17T14:57:22 Z onbert Jail (JOI22_jail) C++17
10 / 100
 1302 ms 286096 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 32 ms 105816 KB Output is correct
2 Correct 33 ms 105808 KB Output is correct
3 Correct 36 ms 105812 KB Output is correct
4 Correct 58 ms 105812 KB Output is correct
5 Correct 64 ms 105968 KB Output is correct
6 Correct 33 ms 105808 KB Output is correct
7 Correct 35 ms 105884 KB Output is correct
8 Correct 35 ms 106068 KB Output is correct
9 Correct 95 ms 109908 KB Output is correct
10 Correct 175 ms 195152 KB Output is correct
11 Correct 36 ms 105884 KB Output is correct
12 Correct 92 ms 105808 KB Output is correct
13 Correct 317 ms 214096 KB Output is correct
14 Correct 258 ms 214088 KB Output is correct
15 Correct 519 ms 232976 KB Output is correct
16 Correct 1302 ms 286096 KB Output is correct
17 Correct 511 ms 245348 KB Output is correct
18 Correct 301 ms 218192 KB Output is correct
19 Correct 493 ms 239440 KB Output is correct
20 Correct 405 ms 239444 KB Output is correct
21 Correct 489 ms 244948 KB Output is correct
22 Correct 216 ms 202988 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 105820 KB Output is correct
2 Correct 32 ms 105820 KB Output is correct
3 Correct 37 ms 105820 KB Output is correct
4 Correct 34 ms 105888 KB Output is correct
5 Correct 32 ms 105844 KB Output is correct
6 Correct 33 ms 106004 KB Output is correct
7 Correct 36 ms 105812 KB Output is correct
8 Correct 32 ms 105820 KB Output is correct
9 Correct 35 ms 105808 KB Output is correct
10 Correct 34 ms 105788 KB Output is correct
11 Correct 32 ms 105808 KB Output is correct
12 Correct 32 ms 105856 KB Output is correct
13 Correct 31 ms 105820 KB Output is correct

Subtask #3
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 105820 KB Output is correct
2 Correct 32 ms 105820 KB Output is correct
3 Correct 37 ms 105820 KB Output is correct
4 Correct 34 ms 105888 KB Output is correct
5 Correct 32 ms 105844 KB Output is correct
6 Correct 33 ms 106004 KB Output is correct
7 Correct 36 ms 105812 KB Output is correct
8 Correct 32 ms 105820 KB Output is correct
9 Correct 35 ms 105808 KB Output is correct
10 Correct 34 ms 105788 KB Output is correct
11 Correct 32 ms 105808 KB Output is correct
12 Correct 32 ms 105856 KB Output is correct
13 Correct 31 ms 105820 KB Output is correct
14 Correct 31 ms 105820 KB Output is correct
15 Correct 31 ms 105812 KB Output is correct
16 Correct 33 ms 105816 KB Output is correct
17 Correct 37 ms 105896 KB Output is correct
18 Correct 35 ms 105820 KB Output is correct
19 Correct 31 ms 105672 KB Output is correct
20 Correct 33 ms 105816 KB Output is correct
21 Correct 35 ms 105820 KB Output is correct
22 Correct 34 ms 105812 KB Output is correct
23 Correct 31 ms 105812 KB Output is correct
24 Runtime error 101 ms 214344 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 32 ms 105820 KB Output is correct
2 Correct 32 ms 105820 KB Output is correct
3 Correct 37 ms 105820 KB Output is correct
4 Correct 34 ms 105888 KB Output is correct
5 Correct 32 ms 105844 KB Output is correct
6 Correct 33 ms 106004 KB Output is correct
7 Correct 36 ms 105812 KB Output is correct
8 Correct 32 ms 105820 KB Output is correct
9 Correct 35 ms 105808 KB Output is correct
10 Correct 34 ms 105788 KB Output is correct
11 Correct 32 ms 105808 KB Output is correct
12 Correct 32 ms 105856 KB Output is correct
13 Correct 31 ms 105820 KB Output is correct
14 Correct 31 ms 105820 KB Output is correct
15 Correct 31 ms 105812 KB Output is correct
16 Correct 33 ms 105816 KB Output is correct
17 Correct 37 ms 105896 KB Output is correct
18 Correct 35 ms 105820 KB Output is correct
19 Correct 31 ms 105672 KB Output is correct
20 Correct 33 ms 105816 KB Output is correct
21 Correct 35 ms 105820 KB Output is correct
22 Correct 34 ms 105812 KB Output is correct
23 Correct 31 ms 105812 KB Output is correct
24 Runtime error 101 ms 214344 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 32 ms 105820 KB Output is correct
2 Correct 32 ms 105820 KB Output is correct
3 Correct 37 ms 105820 KB Output is correct
4 Correct 34 ms 105888 KB Output is correct
5 Correct 32 ms 105844 KB Output is correct
6 Correct 33 ms 106004 KB Output is correct
7 Correct 36 ms 105812 KB Output is correct
8 Correct 32 ms 105820 KB Output is correct
9 Correct 35 ms 105808 KB Output is correct
10 Correct 34 ms 105788 KB Output is correct
11 Correct 32 ms 105808 KB Output is correct
12 Correct 32 ms 105856 KB Output is correct
13 Correct 31 ms 105820 KB Output is correct
14 Correct 31 ms 105820 KB Output is correct
15 Correct 31 ms 105812 KB Output is correct
16 Correct 33 ms 105816 KB Output is correct
17 Correct 37 ms 105896 KB Output is correct
18 Correct 35 ms 105820 KB Output is correct
19 Correct 31 ms 105672 KB Output is correct
20 Correct 33 ms 105816 KB Output is correct
21 Correct 35 ms 105820 KB Output is correct
22 Correct 34 ms 105812 KB Output is correct
23 Correct 31 ms 105812 KB Output is correct
24 Runtime error 101 ms 214344 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 30 ms 105788 KB Output is correct
2 Correct 32 ms 105812 KB Output is correct
3 Correct 33 ms 105820 KB Output is correct
4 Correct 33 ms 105812 KB Output is correct
5 Correct 40 ms 105820 KB Output is correct
6 Correct 39 ms 105812 KB Output is correct
7 Correct 33 ms 105812 KB Output is correct
8 Correct 32 ms 105832 KB Output is correct
9 Correct 32 ms 105816 KB Output is correct
10 Runtime error 103 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 32 ms 105816 KB Output is correct
2 Correct 33 ms 105808 KB Output is correct
3 Correct 36 ms 105812 KB Output is correct
4 Correct 58 ms 105812 KB Output is correct
5 Correct 64 ms 105968 KB Output is correct
6 Correct 33 ms 105808 KB Output is correct
7 Correct 35 ms 105884 KB Output is correct
8 Correct 35 ms 106068 KB Output is correct
9 Correct 95 ms 109908 KB Output is correct
10 Correct 175 ms 195152 KB Output is correct
11 Correct 36 ms 105884 KB Output is correct
12 Correct 92 ms 105808 KB Output is correct
13 Correct 317 ms 214096 KB Output is correct
14 Correct 258 ms 214088 KB Output is correct
15 Correct 519 ms 232976 KB Output is correct
16 Correct 1302 ms 286096 KB Output is correct
17 Correct 511 ms 245348 KB Output is correct
18 Correct 301 ms 218192 KB Output is correct
19 Correct 493 ms 239440 KB Output is correct
20 Correct 405 ms 239444 KB Output is correct
21 Correct 489 ms 244948 KB Output is correct
22 Correct 216 ms 202988 KB Output is correct
23 Correct 32 ms 105820 KB Output is correct
24 Correct 32 ms 105820 KB Output is correct
25 Correct 37 ms 105820 KB Output is correct
26 Correct 34 ms 105888 KB Output is correct
27 Correct 32 ms 105844 KB Output is correct
28 Correct 33 ms 106004 KB Output is correct
29 Correct 36 ms 105812 KB Output is correct
30 Correct 32 ms 105820 KB Output is correct
31 Correct 35 ms 105808 KB Output is correct
32 Correct 34 ms 105788 KB Output is correct
33 Correct 32 ms 105808 KB Output is correct
34 Correct 32 ms 105856 KB Output is correct
35 Correct 31 ms 105820 KB Output is correct
36 Correct 31 ms 105820 KB Output is correct
37 Correct 31 ms 105812 KB Output is correct
38 Correct 33 ms 105816 KB Output is correct
39 Correct 37 ms 105896 KB Output is correct
40 Correct 35 ms 105820 KB Output is correct
41 Correct 31 ms 105672 KB Output is correct
42 Correct 33 ms 105816 KB Output is correct
43 Correct 35 ms 105820 KB Output is correct
44 Correct 34 ms 105812 KB Output is correct
45 Correct 31 ms 105812 KB Output is correct
46 Runtime error 101 ms 214344 KB Execution killed with signal 11
47 Halted 0 ms 0 KB -