Submission #1228374

#	Time	Username	Problem	Language	Result	Execution time	Memory
1228374		Turkhuu	Two Currencies (JOI23_currencies)	C++17	100 / 100	4788 ms	80172 KiB

currencies

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template<bool e = 0> struct HLD {
    int n, timer; vector<vector<int>> adj;
    vector<int> sz, lvl, top, pos, par;
    HLD(int n) : n{n}, timer{}, adj(n), sz(n), lvl(n), top(n), pos(n), par(n, -1) {}
    void add_edge(int x, int y) {
        adj[x].push_back(y);
        adj[y].push_back(x);
    }
    void init(int x) {
        sz[x] = 1;
        for (int& y : adj[x]) {
            lvl[y] = lvl[x] + 1;
            adj[y].erase(find(adj[y].begin(), adj[y].end(), par[y] = x));
            init(y);
            sz[x] += sz[y];
            if (sz[y] > sz[adj[x][0]]) swap(y, adj[x][0]);
        }
    }
    void dfs(int x) {
        pos[x] = timer++;
        for (int y : adj[x])
            top[y] = y == adj[x][0] ? top[x] : y,
            dfs(y);
    }
    void build(int r = 0) {
        top[r] = r, init(r), dfs(r);
    }
    int lca(int x, int y) {
        for (; top[x] != top[y]; x = par[top[x]])
            if (lvl[top[x]] < lvl[top[y]]) swap(x, y);
        return lvl[x] < lvl[y] ? x : y;
    }
    template<typename F> int trav_path(int x, int y, F f) {
        for (; top[x] != top[y]; x = par[top[x]]) {
            if (lvl[top[x]] < lvl[top[y]]) swap(x, y);
            f(pos[top[x]], pos[x] + 1);
        }
        if (lvl[x] > lvl[y]) swap(x, y);
        f(pos[x] + e, pos[y] + 1);
        return x;
    }
    int operator[](int i) {return pos[i];}
};
template<typename T, T (*f)(T, T), T (*e)()> struct psegtree {
    int n, N; vector<int> roots; vector<tuple<int, int, T>> a;
    psegtree() {} psegtree(int n) : psegtree(vector<T>(n, e())) {}
    psegtree(const vector<T>& a) : n(a.size()), N{1}, a{make_tuple(0, 0, e())} {
        function<int(int, int)> build = [&](int l, int r) {
            if (r - l == 1) return shine(a[l]);
            int m = (l + r) / 2;
            return shine(build(l, m), build(m, r));
        }; roots = {build(0, n)};
    }
    int shine(int l, int r) {return a.emplace_back(l, r, f(get<2>(a[l]), get<2>(a[r]))), N++;}
    int shine(const T& t) {return a.emplace_back(0, 0, t), N++;}
    int last() {return roots.size() - 1;}
    int copy(int k) {return a.push_back(a[roots[k]]), roots.push_back(N++), roots.size() - 1;}
    int upd(int x, int l, int r, int i, const T&t, bool set) {
        if (r - l == 1) return shine(set ? t : f(get<2>(a[x]), t));
        int m = (l + r) / 2; return i < m
        ? shine(upd(get<0>(a[x]), l, m, i, t, set), get<1>(a[x]))
        : shine(get<0>(a[x]), upd(get<1>(a[x]), m, r, i, t, set));
    }
    T qry(int x, int l, int r, int L, int R) {
        if (R <= l || r <= L) return e();
        if (L <= l && r <= R) return get<2>(a[x]);
        int m = (l + r) / 2;
        return f(qry(get<0>(a[x]), l, m, L, R), qry(get<1>(a[x]), m, r, L, R));
    }
    int upd(int k, int i, const T& t, bool set = 1) {return roots[k] = upd(roots[k], 0, n, i, t, set);}
    T qry(int k, int l, int r) {return qry(roots[k], 0, n, l, r);}
};
ll f(ll a, ll b) {return a + b;}
ll e() {return 0;}
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int N, M, Q;
    cin >> N >> M >> Q;
    HLD<1> hld(N);
    vector<pair<int, int>> edges(N - 1);
    vector<vector<pair<int, int>>> adj(N);
    for (int i = 0; i < N - 1; i++) {
        int a, b;
        cin >> a >> b;
        a--, b--;
        edges[i] = {a, b};
        adj[a].emplace_back(b, i);
        adj[b].emplace_back(a, i);
        hld.add_edge(a, b);
    }
    vector<int> w(N - 1); {
        function<void(int, int)> dfs = [&](int x, int p) {
            for (auto [y, z] : adj[x]) {
                if (y == p) continue;
                w[z] = y;
                dfs(y, x);
            }
        };
        dfs(0, -1);
    }
    hld.build();
    vector<pair<int, int>> ch(M);
    for (int i = 0; i < M; i++) {
        int e, s;
        cin >> e >> s; e--;
        ch[i] = {s, w[e]};
    }
    sort(ch.begin(), ch.end());
    psegtree<ll, f, e> pst(N);
    for (auto [s, i] : ch) {
        pst.upd(pst.copy(pst.last()), hld[i], s, 0);
    }
    vector<vector<int>> a(M + 1);
    vector<int> S(Q), T(Q), X(Q), ans(Q);
    vector<ll> Y(Q);
    for (int i = 0; i < Q; i++) {
        cin >> S[i] >> T[i] >> X[i] >> Y[i];
        S[i]--, T[i]--;
        int lo = 0, hi = M;
        while (lo < hi) {
            int mi = (lo + hi + 1) / 2;
            ll s = 0;
            hld.trav_path(S[i], T[i], [&](int l, int r) {
                s += pst.qry(mi, l, r);
            }); 
            s <= Y[i] ? lo = mi : hi = mi - 1;
        }
        a[lo].push_back(i);
    }
    pst = psegtree<ll, f, e>(N);
    for (int i = M; i >= 0; i--) {
        if (i < M) {
            auto [s, j] = ch[i];
            pst.upd(pst.copy(pst.last()), hld[j], 1, 0);
        }
        for (auto j : a[i]) {
            int cnt = 0;
            hld.trav_path(S[j], T[j], [&](int l, int r) {
                cnt += pst.qry(pst.last(), l, r);
            });
            ans[j] = max<ll>(-1, X[j] - cnt);
        }
    }
    for (int i = 0; i < Q; i++) cout << ans[i] << "\n";
    return 6/22;
}

• Subtask 1: 10 / 10
• Subtask 2: 28 / 28
• Subtask 3: 30 / 30
• Subtask 4: 32 / 32