Submission #601350

#	Time	Username	Problem	Language	Result	Execution time	Memory
601350		dxz05	Jail (JOI22_jail)	C++14	5 / 100	122 ms	59264 KiB

jail

//#pragma GCC optimize("Ofast,O2,O3,unroll-loops")
//#pragma GCC target("avx2")

#include <bits/stdc++.h>

using namespace std;

void debug_out() { cerr << endl; }

template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << "[" << H << "]";
    debug_out(T...);
}

#ifdef dddxxz
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

#define SZ(s) ((int)s.size())
#define all(x) (x).begin(), (x).end()
#define lla(x) (x).rbegin(), (x).rend()
#define bpc(x) __builtin_popcount(x)
#define bpcll(x) __builtin_popcountll(x)
#define MP make_pair

clock_t startTime;

double getCurrentTime() {
    return (double) (clock() - startTime) / CLOCKS_PER_SEC;
}

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

typedef long long ll;
const int MOD = 1e9 + 7;
const int INF = 1000000101;
const long long LLINF = 1223372000000000555;
const int N = 2e5 + 3e2;
const int M = 5555;

vector<int> g[N];

int tin[N], tout[N], timer = 0;
int up[N][18], depth[N];

inline void dfs(int v, int p){
    tin[v] = ++timer;
    depth[v] = depth[p] + 1;

    up[v][0] = p;
    for (int i = 1; i < 18; i++){
        up[v][i] = up[up[v][i - 1]][i - 1];
    }
    for (int u : g[v]){
        if (u != p) dfs(u, v);
    }
    tout[v] = ++timer;
}

inline bool upper(int u, int v){
    return tin[u] <= tin[v] && tout[v] <= tout[u];
}

inline int lca(int u, int v){
    if (upper(u, v)) return u;
    if (upper(v, u)) return v;
    for (int i = 17; i >= 0; i--){
        if (!upper(up[u][i], v)) u = up[u][i];
    }
    return up[u][0];
}

inline int dist(int u, int v){
    return depth[u] + depth[v] - 2 * depth[lca(u, v)];
}

inline bool in(int a, int b, int c){
    return dist(a, c) == dist(a, b) + dist(b, c);
}

vector<int> gg[N];

int color[N];
bool dfs(int v){
    color[v] = 1;
    for (int u : gg[v]){
        if (color[u] == 1) return true;
        if (color[u] == 0 && dfs(u)) return true;
    }
    color[v] = 2;
    return false;
}

struct SparseTable{
    vector<vector<int>> mn, mx;
    vector<int> Log;

    void init(vector<int> &a){
        int n = a.size();
        mn.assign(n, vector<int>(20, 0));
        mx.assign(n, vector<int>(20, 0));
        Log.resize(n + 1);
        Log[1] = 0;
        for (int i = 2; i <= n; i++) Log[i] = Log[i / 2] + 1;

        for (int i = 0; i < n; i++){
            mn[i][0] = mx[i][0] = a[i];
        }

        for (int j = 1; j < 20; j++){
            for (int i = 0; i < n; i++){
                if (i + (1 << j) - 1 >= n) continue;
                mn[i][j] = min(mn[i][j - 1], mn[i + (1 << (j - 1))][j - 1]);
                mx[i][j] = max(mx[i][j - 1], mx[i + (1 << (j - 1))][j - 1]);
            }
        }

    }

    int get_min(int l, int r){
        if (l > r) return 1e9;
        int x = Log[r - l + 1];
        return min(mn[l][x], mn[r - (1 << x) + 1][x]);
    }

    int get_max(int l, int r){
        if (l > r) return -1e9;
        int x = Log[r - l + 1];
        return max(mx[l][x], mx[r - (1 << x) + 1][x]);
    }

};

void solve(int TC) {
    int n;
    cin >> n;

    timer = 0;
    for (int i = 0; i < n; i++) g[i].clear();

    for (int i = 0; i < n - 1; i++){
        int a, b;
        cin >> a >> b;
        --a, --b;
        g[a].push_back(b);
        g[b].push_back(a);
    }

    dfs(0, 0);

    int m;
    cin >> m;

    vector<int> S(m), T(m);
    vector<int> ids(n, -1), idt(n, -1);

    for (int i = 0; i < m; i++){
        cin >> S[i] >> T[i];
        S[i]--, T[i]--;
        ids[S[i]] = i;
        idt[T[i]] = i;
    }

    if (depth[n - 1] == n){
        vector<int> left(n, 0), right(n, 0);
        vector<int> vv(n, INF);
        for (int i = 0; i < m; i++){
            if (S[i] < T[i]){
                right[S[i]]++;
                right[T[i]]--;
                vv[S[i]] = T[i];
            } else {
                left[T[i]]++;
                left[S[i]]--;
                vv[T[i]] = S[i];
            }
        }

        for (int i = 1; i < n; i++) left[i] += left[i - 1], right[i] += right[i - 1];

        for (int i = 0; i < n; i++){
            if (left[i] && right[i]){
                cout << "No\n";
                return;
            }
        }

        SparseTable st;
        st.init(vv);

        for (int i = 0; i < m; i++){
            int l = min(S[i], T[i]), r = max(S[i], T[i]);
            if (st.get_min(l + 1, r - 1) < r){
                cout << "No\n";
                return;
            }
        }

        cout << "Yes\n";
        return;
    }

    for (int i = 0; i < m; i++){
        gg[i].clear();
        color[i] = 0;
    }

    for (int i = 0; i < m; i++){
        int s = S[i], t = T[i];
        int l = lca(s, t);
        while (upper(l, s)){
            int j = ids[s];
            if (j != -1 && j != i) gg[j].push_back(i);
            j = idt[s];
            if (j != -1 && j != i) gg[i].push_back(j);
            if (s == 0) break;
            s = up[s][0];
        }

        while (upper(l, t)){
            int j = ids[t];
            if (j != -1 && j != i) gg[j].push_back(i);
            j = idt[t];
            if (j != -1 && j != i) gg[i].push_back(j);
            if (t == 0) break;
            t = up[t][0];
        }
    }

    for (int i = 0; i < m; i++){
        if (color[i] == 0 && dfs(i)){
            cout << "No\n";
            return;
        }
    }

    cout << "Yes\n";

}

int main() {
    startTime = clock();
    ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);

#ifdef dddxxz
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif

    int TC = 1;
    cin >> TC;

    for (int test = 1; test <= TC; test++) {
        //debug(test);
        //cout << "Case #" << test << ": ";
        solve(test);
    }

#ifdef dddxxz
    cerr << endl << "Time: " << int(getCurrentTime() * 1000) << " ms" << endl;
#endif

    return 0;
}

• Subtask 1: 5 / 5
• Subtask 2: 0 / 5
• Subtask 3: 0 / 16
• Subtask 4: 0 / 28
• Subtask 5: 0 / 12
• Subtask 6: 0 / 11
• Subtask 7: 0 / 23