結果

問題 No.235 めぐるはめぐる (5)
ユーザー OrisanoOrisano
提出日時 2017-11-21 04:03:54
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,094 ms / 10,000 ms
コード長 6,976 bytes
コンパイル時間 1,501 ms
コンパイル使用メモリ 80,928 KB
実行使用メモリ 72,512 KB
最終ジャッジ日時 2024-05-04 17:07:52
合計ジャッジ時間 7,189 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1,094 ms
49,580 KB
testcase_01 AC 598 ms
72,512 KB
testcase_02 AC 923 ms
55,396 KB
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ソースコード

diff # 

#include <algorithm>
#include <functional>
#include <vector>

struct HLDecomposition {
  struct Node {
    int ord, par, depth;
    int idx;
    int path_id = -1;
    Node() {}
  };

  const int N;
  std::vector<std::vector<int>> tree, pathes;
  std::vector<Node> nodes;
  std::vector<int> Q;

  HLDecomposition(int N) : N(N), tree(N), nodes(N) {}
  void add_edge(int u, int v) {
    tree[u].push_back(v);
    tree[v].push_back(u);
  }
  void build(int root = 0) {
    Q.reserve(N);
    Q.push_back(root);
    nodes[root].par = -1;
    nodes[root].depth = 0;
    for (int i = 0; i < Q.size(); i++) {
      int u = Q[i];
      auto& U = nodes[u];
      U.ord = i;
      for (int v : tree[u]) {
        if (U.par == v) continue;
        auto& V = nodes[v];
        V.par = u;
        V.depth = U.depth + 1;
        Q.push_back(v);
      }
    }
    decomposition();
  }
  void for_each(int u, int v, std::function<void(int, int, int)> f) const {
    while (nodes[u].path_id != nodes[v].path_id) {
      int head_u = pathes[nodes[u].path_id][0];
      int head_v = pathes[nodes[v].path_id][0];
      if (nodes[head_u].depth > nodes[head_v].depth) {
        std::swap(u, v);
        std::swap(head_u, head_v);
      }
      f(nodes[v].path_id, 0, nodes[v].idx + 1);
      v = nodes[head_v].par;
    }
    if (nodes[v].idx < nodes[u].idx) std::swap(u, v);
    f(nodes[v].path_id, nodes[u].idx, nodes[v].idx + 1);
  }
  int lca(int u, int v) const {
    int x;
    for_each(u, v, [&](int p, int l, int r) { x = pathes[p][l]; });
    return x;
  }
  void decomposition() {
    std::vector<int> subtree_size(N, 1);
    for (int i = N - 1; i > 0; i--) {
      subtree_size[nodes[Q[i]].par] += subtree_size[Q[i]];
    }
    for (int u : Q) {
      auto& U = nodes[u];
      if (U.path_id == -1) {
        U.path_id = pathes.size();
        pathes.emplace_back();
      }
      pathes[U.path_id].push_back(u);

      int max_subsize = -1, selected = -1;
      for (int v : tree[u]) {
        if (U.par == v) continue;
        if (max_subsize >= subtree_size[v]) continue;
        max_subsize = subtree_size[v];
        selected = v;
      }
      if (selected != -1) nodes[selected].path_id = U.path_id;
    }
    for (auto&& path : pathes) {
      for (int i = 0; i < path.size(); i++) {
        nodes[path[i]].idx = i;
      }
    }
  }
};

template <typename Monoid, typename Op>
struct LazySegTree {
  using value_type = typename Monoid::value_type;
  using lazy_type = typename Op::value_type;
  using Index0 = int;

  const lazy_type none = Op::none();
  const int N, H;
  std::vector<value_type> nodes;
  std::vector<lazy_type> lazy;

  LazySegTree(int size) : LazySegTree(size, 32 - __builtin_clz(size - 1)) {}
  LazySegTree(int size, int h) : LazySegTree(size, h, 1 << h) {}
  LazySegTree(int size, int h, int aligned)
      : N(aligned), H(h), nodes(aligned * 2, Monoid::empty()), lazy(aligned, none) {}

  inline void apply(int p, lazy_type value, int l, int r) {
    nodes[p] = Op::eval(nodes[p], value, l, r);
    if (p < N) lazy[p] = Op::merge(lazy[p], value);
  }
  inline void calc(int p, int l, int r) {
    auto x = Monoid::append(nodes[p << 1], nodes[p << 1 | 1]);
    if (lazy[p] == none) {
      nodes[p] = x;
    } else {
      nodes[p] = Op::eval(x, lazy[p], l, r);
    }
  }
  void build(Index0 l, Index0 r) {
    int k = 1;
    int R = r;
    for (l += N, r += N - 1; l > 1;) {
      if (!(r & 1)) R += k;
      l >>= 1, r >>= 1, k <<= 1;
      for (int i = r, j = R; i >= l; --i, j -= k) calc(i, j - k, j);
    }
  }
  void push(Index0 l, Index0 r) {
    int s = H, k = 1 << (H - 1);
    int L = 0;
    for (l += N, r += N - 1; s > 0; k >>= 1) {
      for (int i = l >> s, j = L; i <= r >> s; ++i, j += k) {
        j += k;
        if (lazy[i] != none) {
          apply(i << 1, lazy[i], j - k, j);
          apply(i << 1 | 1, lazy[i], j, j + k);
          lazy[i] = none;
        }
      }
      --s;
      if ((l >> s) & 1) L += k;
    }
  }
  void exec(Index0 l, Index0 r, lazy_type value) {
    if (value == none) return;
    int L = l, R = r, k = 1;
    int i = l, j = r;
    push(L, L + 1);
    push(R - 1, R);
    for (l += N, r += N; l < r; l >>= 1, r >>= 1, k <<= 1) {
      if (l & 1) {
        apply(l++, value, i, i + k);
        i += k;
      }
      if (r & 1) {
        apply(--r, value, j - k, j);
        j -= k;
      }
    }
    build(L, L + 1);
    build(R - 1, R);
  }
  value_type query(Index0 l, Index0 r) {
    push(l, l + 1);
    push(r - 1, r);
    value_type x = Monoid::empty();
    for (l += N, r += N; l < r; l >>= 1, r >>= 1) {
      if (l & 1) x = Monoid::append(x, nodes[l++]);
      if (r & 1) x = Monoid::append(x, nodes[--r]);
    }
    return x;
  }
};
#include <cstdio>
#define mygc(c) (c) = getchar_unlocked()
#define mypc(c) putchar_unlocked(c)
// clang-format off
template<typename T=int>inline T rd(){T x=0,m=0,k;for(;;){mygc(k);if(k=='-'){m=1;break;}if('0'<=k&&k<='9'){x=k-'0';break;}}for(;;){mygc(k);if(k<'0'||'9'<k)break;x=x*10+k-'0';}if(m)x=-x;return x;}
template<typename T=int>inline void wr(T x,char c='\n'){int s=0,m=0;char b[32];if(x<0)m=1,x=-x;for(;x;x/=10)b[s++]=x%10;if(!s)b[s++]=0;if(m)mypc('-');for(;s--;)mypc(b[s]+'0');mypc(c);}
// clang-format on

using ll = long long;

const ll MOD = 1e9 + 7;

struct Sum {
  using value_type = ll;
  static ll empty() { return 0; }
  static ll append(ll x, ll y) { return (x + y) % MOD; }
};

int gp;
std::vector<std::vector<ll>> ssum, csum;

struct Add {
  using value_type = ll;
  static ll none() { return 0; }
  static ll eval(ll x, ll v, int l, int r) {
    return (x + (v * ((csum[gp][r] - csum[gp][l] + MOD) % MOD)) % MOD) % MOD;
  }
  static ll merge(ll x, ll y) { return (x + y) % MOD; }
};

int main() {
  int N = rd();
  std::vector<ll> S(N);
  for (int i = 0; i < N; i++) S[i] = rd();
  std::vector<ll> C(N);
  for (int i = 0; i < N; i++) C[i] = rd();

  HLDecomposition hl(N);
  for (int i = 0; i < N - 1; i++) {
    int A = rd() - 1, B = rd() - 1;
    hl.add_edge(A, B);
  }
  hl.build();

  const int P = hl.pathes.size();
  std::vector<LazySegTree<Sum, Add>> segs;
  segs.reserve(P);
  ssum.resize(P);
  csum.resize(P);
  for (int p = 0; p < P; p++) {
    const int L = hl.pathes[p].size();
    segs.emplace_back(L);
    ssum[p].resize(L + 1);
    csum[p].resize(L + 1);
    for (int i = 1; i <= L; i++) {
      int u = hl.pathes[p][i - 1];
      ssum[p][i] = (ssum[p][i - 1] + S[u]) % MOD;
      csum[p][i] = (csum[p][i - 1] + C[u]) % MOD;
    }
  }

  int Q = rd();
  for (int i = 0; i < Q; i++) {
    int t = rd();
    int x = rd() - 1, y = rd() - 1;
    if (t) {
      ll ans = 0;
      hl.for_each(x, y, [&](int p, int l, int r) {
        gp = p;
        ans += (ssum[p][r] - ssum[p][l] + MOD) % MOD;
        ans += segs[p].query(l, r);
        ans %= MOD;
      });
      wr(ans);
    } else {
      ll z = rd();
      hl.for_each(x, y, [&](int p, int l, int r) {
        gp = p;
        segs[p].exec(l, r, z);
      });
    }
  }
  return 0;
}
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