結果

問題 No.235 めぐるはめぐる (5)
コンテスト
ユーザー toma
提出日時 2019-10-02 18:50:54
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,788 ms / 10,000 ms
コード長 8,468 bytes
コンパイル時間 2,030 ms
コンパイル使用メモリ 196,600 KB
実行使用メモリ 52,068 KB
最終ジャッジ日時 2024-10-03 06:02:12
合計ジャッジ時間 10,490 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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ファイルパターン 結果
other AC * 3
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include"bits/stdc++.h"
using namespace std;
#define REP(k,m,n) for(int (k)=(m);(k)<(n);(k)++)
#define rep(i,n) REP((i),0,(n))
using ll = long long;

using Graph = vector<vector<int>>;
struct HLDecomposition {
    using pii = pair<int, int>;
    int n;
    Graph G;
    vector<int> vid, inv, par, depth, subsize, head, prev, next, type;

    HLDecomposition(const Graph& G_) :
        n(G_.size()), G(G_),
        vid(n, -1), inv(n), par(n), depth(n), subsize(n, 1),
        head(n), prev(n, -1), next(n, -1), type(n) {}
    void build(vector<int> roots = { 0 }) {
        int curtype = 0, pos = 0;
        for (int root : roots) {
            decide_heavy_edge(root);
            reconstruct(root, curtype++, pos);
        }
    }
    void decide_heavy_edge(int root) {
        stack<pii> st;
        par[root] = -1, depth[root] = 0;
        st.emplace(root, 0);
        while (!st.empty()) {
            int now = st.top().first;
            int& way = st.top().second;
            if (way < G[now].size()) {
                int child = G[now][way++];
                if (child == par[now])continue;
                par[child] = now;
                depth[child] = depth[now] + 1;
                st.emplace(child, 0);
            }
            else {
                st.pop();
                int maxsize = 0;
                for (auto child : G[now]) {
                    if (child == par[now])continue;
                    subsize[now] += subsize[child];
                    if (maxsize < subsize[child]) {
                        maxsize = subsize[child];
                        prev[child] = now;
                        next[now] = child;
                    }
                }
            }
        }
    }
    void reconstruct(int root, int curtype, int& pos) {
        stack<int> st({ root });
        while (!st.empty()) {
            int start = st.top(); st.pop();
            for (int v = start; v != -1; v = next[v]) {
                type[v] = curtype;
                vid[v] = pos++;
                inv[vid[v]] = v;
                head[v] = start;
                for (auto child : G[v]) {
                    if (child != par[v] && child != next[v]) {
                        st.push(child);
                    }
                }
            }
        }
    }

    // node query [u, v], f([left, right])
    void foreach_nodes(int u, int v, const function<void(int, int)>& f) {
        while (true) {
            if (vid[u] > vid[v])swap(u, v);
            f(max(vid[head[v]], vid[u]), vid[v]);
            if (head[u] != head[v])v = par[head[v]];
            else break;
        }
    }

    // edge query[u,v] f([left, right])
    // seg_node[vid[i]] := edge(par[i] -> i)
    void foreach_edges(int u, int v, const function<void(int, int)>& f) {
        while (true) {
            if (vid[u] > vid[v])swap(u, v);
            if (head[u] != head[v]) {
                f(vid[head[v]], vid[v]);
                v = par[head[v]];
            }
            else {
                if (u != v)f(vid[u] + 1, vid[v]);
                break;
            }
        }
    }
    int lca(int u, int v) {
        while (true) {
            if (vid[u] > vid[v])swap(u, v);
            if (head[u] == head[v])return u;
            v = par[head[v]];
        }
    }
};

template<typename Monoid, typename OperatorMonoid = Monoid>
class LazySegmentTree {
private:
    using F = function<Monoid(Monoid, Monoid)>;
    using G = function<Monoid(Monoid, OperatorMonoid, int)>;
    using H = function<OperatorMonoid(OperatorMonoid, OperatorMonoid)>;

    int sz; // 対応する配列の幅
    vector<Monoid> data;
    vector<OperatorMonoid> lazy;
    const F f; // 2区間マージ演算(data-data-ボトムアップマージ)
    const G g; // 要素,作用素マージ演算(lazy->data同位置変換時の、(data,lazy,len)の計算)
    const H h; // 作用素マージ演算　(query->lazyトップダウン伝搬時の、(lazy,query_value)の計算)
    const Monoid M1;          // モノイド単位元　(data単位元)
    const OperatorMonoid OM0; // 作用素単位元 (lazy単位元)

    void propagate(int idx, int len) {
        // 幅lenのlazy[idx]が存在するとき、値を下に流す
        if (lazy[idx] != OM0) {
            if (idx < sz) {
                lazy[(idx << 1) | 0] = h(lazy[(idx << 1) | 0], lazy[idx]);
                lazy[(idx << 1) | 1] = h(lazy[(idx << 1) | 1], lazy[idx]);
            }
            data[idx] = g(data[idx], lazy[idx], len);
            lazy[idx] = OM0;
        }
    }
    Monoid update_impl(int a, int b, const OperatorMonoid& val, int idx, int l, int r) {
        propagate(idx, r - l);
        if (r <= a || b <= l)return data[idx];
        else if (a <= l && r <= b) {
            lazy[idx] = h(lazy[idx], val);
            propagate(idx, r - l);
            return data[idx];
        }
        else return data[idx] = f(
            update_impl(a, b, val, (idx << 1) | 0, l, (l + r) >> 1),
            update_impl(a, b, val, (idx << 1) | 1, (l + r) >> 1, r)
        );
    }
    Monoid query_impl(int a, int b, int idx, int l, int r) {
        propagate(idx, r - l);
        if (r <= a || b <= l)return M1;
        else if (a <= l && r <= b)return data[idx];
        else return f(
            query_impl(a, b, (idx << 1) | 0, l, (l + r) >> 1),
            query_impl(a, b, (idx << 1) | 1, (l + r) >> 1, r)
        );
    }

public:
    // init忘れに注意
    LazySegmentTree(int n, const F f, const G g, const H h,
        const Monoid& M1, const OperatorMonoid OM0)
        :f(f), g(g), h(h), M1(M1), OM0(OM0) {
        sz = 1;
        while (sz < n)sz <<= 1;
        data.assign(2 * sz, M1);
        lazy.assign(2 * sz, OM0);
    }
    void build(const vector<Monoid>& vals) {
        rep(idx, vals.size())data[idx + sz] = vals[idx];
        for (int idx = sz - 1; idx > 0; idx--) {
            data[idx] = f(data[(idx << 1) | 0], data[(idx << 1) | 1]);
        }
    }
    Monoid update(int a, int b, const OperatorMonoid& val) {
        return update_impl(a, b, val, 1, 0, sz);
    }
    Monoid query(int a, int b) {
        return query_impl(a, b, 1, 0, sz);
    }
    Monoid operator[](const int& idx) {
        return query(idx, idx + 1);
    }
};


int main()
{
    int N, Q;
    cin >> N;
    vector<pair<ll, ll>> sc(N);
    Graph graph(N);
    rep(i, N)cin >> sc[i].first;
    rep(i, N)cin >> sc[i].second;
    rep(i, N - 1) {
        int a, b;
        cin >> a >> b;
        a--; b--;
        graph[a].push_back(b);
        graph[b].push_back(a);
    }

    // 金額和, 倍率和
    using pll = pair<ll, ll>;
    constexpr ll MOD = 1000000007;
    auto f = [&](pll vl, pll vr) {
        return make_pair(
            (vl.first + vr.first) % MOD,
            (vl.second + vr.second) % MOD
        );
    };
    auto g = [&](pll data, ll lazy, int len) {
        return make_pair(
            (data.first + data.second*lazy) % MOD,
            data.second
        );
    };
    auto h = [&](ll lazy, ll query) {
        return (lazy + query) % MOD;
    };
    LazySegmentTree<pll, ll> lst(N, f, g, h, { 0ll,0ll }, 0);
    HLDecomposition hld(graph);
    hld.build();

    vector<pll> nsc(N);
    rep(i, N) {
        nsc[hld.vid[i]] = sc[i];
    }
    lst.build(nsc);

    cin >> Q;
    rep(q, Q) {
        /*
        vector<pll> par(N);
        rep(i, N)par[i] = make_pair(hld.vid[i], i);
        sort(par.begin(), par.end());
        rep(i, N) {
            // vid -> normal id -> cost -> parent -> size
            int nid = par[i].second;
            assert(hld.inv[i] == nid);
            cerr
                << i
                << ":"
                << par[i].second
                << "..."
                << lst[i].first
                << "..."
                << hld.par[i]
                << "..."
                << hld.subsize[i]
                << endl;
        }
        */

        int type, x, y, z;
        cin >> type >> x >> y;
        x--; y--;
        if (type == 0) {
            cin >> z;
            hld.foreach_nodes(x, y, [&](int l, int r) {
                //cerr << l << "..." << r << endl;
                lst.update(l, r + 1, z);
            });
        }
        else {
            ll res = 0;
            hld.foreach_nodes(x, y, [&](int l, int r) {
                //cerr << l << "..." << r << endl;
                (res += lst.query(l, r + 1).first) %= MOD;
            });
            cout << res << endl;
        }
    }

    return 0;
}
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