結果

問題 No.1326 ふたりのDominator
ユーザー 👑 emthrmemthrm
提出日時 2020-12-23 00:33:50
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 188 ms / 2,000 ms
コード長 9,743 bytes
コンパイル時間 3,399 ms
コンパイル使用メモリ 237,164 KB
実行使用メモリ 48,176 KB
最終ジャッジ日時 2024-09-23 02:58:11
合計ジャッジ時間 6,992 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
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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 2 ms
6,812 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 3 ms
6,944 KB
testcase_08 AC 3 ms
6,940 KB
testcase_09 AC 4 ms
6,940 KB
testcase_10 AC 3 ms
6,940 KB
testcase_11 AC 4 ms
6,944 KB
testcase_12 AC 142 ms
33,444 KB
testcase_13 AC 146 ms
33,416 KB
testcase_14 AC 146 ms
33,436 KB
testcase_15 AC 151 ms
33,152 KB
testcase_16 AC 138 ms
31,836 KB
testcase_17 AC 116 ms
25,508 KB
testcase_18 AC 129 ms
20,712 KB
testcase_19 AC 100 ms
22,280 KB
testcase_20 AC 154 ms
44,972 KB
testcase_21 AC 161 ms
45,024 KB
testcase_22 AC 188 ms
48,176 KB
testcase_23 AC 99 ms
27,712 KB
testcase_24 AC 148 ms
33,440 KB
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 # 

#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

struct Lowlink {
  std::vector<std::vector<int>> graph;
  std::vector<int> ap;
  std::vector<std::pair<int, int>> bridge;

  Lowlink(const std::vector<std::vector<int>> &graph) : graph(graph) {
    int n = graph.size();
    order.assign(n, -1);
    lowlink.resize(n);
    int tm = 0;
    for (int i = 0; i < n; ++i) {
      if (order[i] == -1) dfs(-1, i, tm);
    }
    // std::sort(ap.begin(), ap.end());
    // std::sort(bridge.begin(), bridge.end(), [](const pair<int, int> &a, const pair<int, int> &b) -> bool {
    //   int as, ad, bs, bd;
    //   std::tie(as, ad) = a;
    //   std::tie(bs, bd) = b;
    //   return as != bs ? as < bs : ad < bd;
    // });
  }

  std::vector<int> order, lowlink;
private:
  void dfs(int par, int ver, int &tm) {
    order[ver] = lowlink[ver] = tm++;
    int cnt = 0;
    bool is_ap = false;
    for (int e : graph[ver]) {
      if (order[e] == -1) {
        ++cnt;
        dfs(ver, e, tm);
        if (lowlink[e] < lowlink[ver]) lowlink[ver] = lowlink[e];
        if (order[ver] <= lowlink[e]) {
          is_ap = true;
          if (order[ver] < lowlink[e]) bridge.emplace_back(std::minmax(ver, e));
        }
      } else if (e != par) {
        if (order[e] < lowlink[ver]) lowlink[ver] = order[e];
      }
    }
    if (par == -1) {
      if (cnt >= 2) ap.emplace_back(ver);
    } else {
      if (is_ap) ap.emplace_back(ver);
    }
  }
};

struct BiconnectedComponent : Lowlink {
  std::vector<std::vector<std::pair<int, int>>> block;
  std::vector<int> id;
  std::vector<std::vector<int>> vertices, cutpoint;

  BiconnectedComponent(const std::vector<std::vector<int>> &graph, bool heavy = false) : Lowlink(graph), heavy(heavy) {
    int n = graph.size();
    id.assign(n, -2);
    if (heavy) {
      cutpoint.resize(n);
      is_ap.assign(n, false);
      for (int e : this->ap) is_ap[e] = true;
    }
    for (int i = 0; i < n; ++i) {
      if (id[i] == -2) {
        id[i] = -1;
        dfs(-1, i);
      }
    }
    // if (heavy) {
    //   int sz = vertices.size();
    //   for (int i = 0; i < sz; ++i) {
    //     std::sort(block[i].begin(), block[i].end());
    //     std::sort(vertices[i].begin(), vertices[i].end());
    //   }
    //   for (int i = 0; i < n; ++i) std::sort(cutpoint[i].begin(), cutpoint[i].end());
    // }
  }

private:
  using P = std::pair<int, int>;

  bool heavy;
  std::vector<bool> is_ap;
  std::vector<P> tmp;

  void dfs(int par, int ver) {
    for (int e : this->graph[ver]) {
      if (e == par) continue;
      if (id[e] == -2 || this->order[ver] > this->order[e]) tmp.emplace_back(std::minmax(ver, e));
      if (id[e] == -2) {
        id[e] = -1;
        dfs(ver, e);
        if (this->order[ver] <= this->lowlink[e]) {
          int idx = block.size();
          block.emplace_back();
          std::set<int> st;
          while (true) {
            P pr = tmp.back();
            block[idx].emplace_back(pr);
            if (heavy) {
              st.emplace(pr.first);
              st.emplace(pr.second);
            }
            tmp.pop_back();
            if (pr.first == std::min(ver, e) && pr.second == std::max(ver, e)) break;
          }
          if (heavy) {
            vertices.emplace_back();
            for (int el : st) {
              vertices[idx].emplace_back(el);
              if (is_ap[el]) {
                cutpoint[el].emplace_back(idx);
              } else {
                id[el] = idx;
              }
            }
          }
        }
      }
    }
  }
};

struct HLD {
  std::vector<int> parent, subtree, id, inv, head;

  HLD(const std::vector<std::vector<int>> &graph, int root = 0) : graph(graph) {
    int n = graph.size();
    parent.assign(n, -1);
    subtree.assign(n, 1);
    id.resize(n);
    inv.resize(n);
    head.resize(n);
    dfs1(root);
    head[root] = root;
    int now_id = 0;
    dfs2(root, now_id);
  }

  template <typename Fn>
  void v_update(int u, int v, Fn f) const {
    while (true) {
      if (id[u] > id[v]) std::swap(u, v);
      f(std::max(id[head[v]], id[u]), id[v] + 1);
      if (head[u] == head[v]) return;
      v = parent[head[v]];
    }
  }

  template <typename T, typename F, typename G>
  T v_query(int u, int v, F f, G g, const T UNITY) const {
    T left = UNITY, right = UNITY;
    while (true) {
      if (id[u] > id[v]) {
        std::swap(u, v);
        std::swap(left, right);
      }
      left = g(left, f(std::max(id[head[v]], id[u]), id[v] + 1));
      if (head[u] == head[v]) break;
      v = parent[head[v]];
    }
    return g(left, right);
  }

  template <typename Fn>
  void subtree_v_update(int ver, Fn f) const { f(id[ver], id[ver] + subtree[ver]); }

  template <typename T, typename Fn>
  T subtree_v_query(int ver, Fn f) const { return f(id[ver], id[ver] + subtree[ver]); }

  template <typename Fn>
  void e_update(int u, int v, Fn f) const {
    while (true) {
      if (id[u] > id[v]) std::swap(u, v);
      if (head[u] == head[v]) {
        f(id[u], id[v]);
        break;
      } else {
        f(id[head[v]] - 1, id[v]);
        v = parent[head[v]];
      }
    }
  }

  template <typename T, typename F, typename G>
  T e_query(int u, int v, F f, G g, const T UNITY) const {
    T left = UNITY, right = UNITY;
    while (true) {
      if (id[u] > id[v]) {
        std::swap(u, v);
        std::swap(left, right);
      }
      if (head[u] == head[v]) {
        left = g(left, f(id[u], id[v]));
        break;
      } else {
        left = g(left, f(id[head[v]] - 1, id[v]));
        v = parent[head[v]];
      }
    }
    return g(left, right);
  }

  template <typename Fn>
  void subtree_e_update(int ver, Fn f) const { f(id[ver], id[ver] + subtree[ver] - 1); }

  template <typename T, typename Fn>
  T subtree_e_query(int ver, Fn f) const { return f(id[ver], id[ver] + subtree[ver] - 1); }

  int lca(int u, int v) const {
    while (true) {
      if (id[u] > id[v]) std::swap(u, v);
      if (head[u] == head[v]) return u;
      v = parent[head[v]];
    }
  }

private:
  std::vector<std::vector<int>> graph;

  void dfs1(int ver) {
    for (int &e : graph[ver]) {
      if (e != parent[ver]) {
        parent[e] = ver;
        dfs1(e);
        subtree[ver] += subtree[e];
        if (subtree[e] > subtree[graph[ver].front()]) std::swap(e, graph[ver].front());
      }
    }
  }

  void dfs2(int ver, int &now_id) {
    id[ver] = now_id++;
    inv[id[ver]] = ver;
    for (int e : graph[ver]) {
      if (e != parent[ver]) {
        head[e] = (e == graph[ver].front() ? head[ver] : e);
        dfs2(e, now_id);
      }
    }
  }
};

template <typename Semigroup, typename Fn>
struct DisjointSparseTable {
  DisjointSparseTable(const std::vector<Semigroup> &a, Fn fn) : fn(fn) {
    int n = a.size(), table_h = 1;
    while ((1 << table_h) < n) ++table_h;
    lg.assign(1 << table_h, 0);
    for (int i = 2; i < (1 << table_h); ++i) lg[i] = lg[i >> 1] + 1;
    dat.assign(table_h, std::vector<Semigroup>(n));
    for (int j = 0; j < n; ++j) dat[0][j] = a[j];
    for (int i = 1; i < table_h; ++i) {
      int shift = 1 << i;
      for (int left = 0; left < n; left += shift << 1) {
        int mid = std::min(left + shift, n);
        dat[i][mid - 1] = a[mid - 1];
        for (int j = mid - 2; j >= left; --j) dat[i][j] = fn(a[j], dat[i][j + 1]);
        if (n <= mid) break;
        int right = std::min(mid + shift, n);
        dat[i][mid] = a[mid];
        for (int j = mid + 1; j < right; ++j) dat[i][j] = fn(dat[i][j - 1], a[j]);
      }
    }
  }

  Semigroup query(int left, int right) const {
    assert(left < right);
    if (left == --right) return dat[0][left];
    int h = lg[left ^ right];
    return fn(dat[h][left], dat[h][right]);
  }

private:
  Fn fn;
  std::vector<int> lg;
  std::vector<std::vector<Semigroup>> dat;
};

int main() {
  int n, m; cin >> n >> m;
  vector<vector<int>> graph(n);
  while (m--) {
    int u, v; cin >> u >> v; --u; --v;
    graph[u].emplace_back(v);
    graph[v].emplace_back(u);
  }
  BiconnectedComponent bc(graph, true);
  int b = bc.block.size(), a = bc.ap.size();
  vector<vector<int>> bctree(b + a);
  REP(i, a) for (int e : bc.cutpoint[bc.ap[i]]) {
    bctree[bc.block.size() + i].emplace_back(e);
    bctree[e].emplace_back(bc.block.size() + i);
  }
  vector<int> rev(n, -1);
  REP(i, a) rev[bc.ap[i]] = i;
  HLD hld(bctree);
  vector<int> w(b + a, 0);
  FOR(i, b, b + a) w[hld.id[i]] = 1;
  DisjointSparseTable dst(w, [](int a, int b) -> int { return a + b; });
  int q; cin >> q;
  while (q--) {
    int x, y; cin >> x >> y; --x; --y;
    if (x == y) {
      cout << 0 << '\n';
      continue;
    }
    x = rev[x] == -1 ? bc.id[x] : b + rev[x];
    y = rev[y] == -1 ? bc.id[y] : b + rev[y];
    int ans = hld.v_query(x, y, [&](int l, int r) { return dst.query(l, r); }, [](int a, int b) { return a + b; }, 0);
    ans -= (x >= b) + (y >= b);
    cout << ans << '\n';
  }
  return 0;
}
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