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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#298217#7608. CliquesgolikovnikWA 0ms3620kbC++2014.1kb2024-01-05 20:30:512024-01-05 20:30:51

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  • [2024-01-05 20:30:51]
  • 评测
  • 测评结果：WA
  • 用时：0ms
  • 内存：3620kb
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  • [2024-01-05 20:30:51]
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answer

//  Nikita Golikov, 2023

#include <bits/stdc++.h>

using namespace std;

using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;

#ifdef GOLIKOV
  #include "/Users/golikovnik/contests/debug.h"
#else
  #define debug(...) ;
#endif

template <class A, class B>
bool smin(A& x, B&& y) {
  if (y < x) {
    x = y;
    return true;
  }
  return false;
}

template <class A, class B>
bool smax(A& x, B&& y) {
  if (x < y) {
    x = y;
    return true;
  }
  return false;
}

//  by https://codeforces.com/profile/Nyaan
//  example submission:
//  https://codeforces.com/contest/1603/submission/133688639
template <uint32_t mod>
struct LazyMontgomeryModInt {
  using mint = LazyMontgomeryModInt;
  using i32 = int32_t;
  using u32 = uint32_t;
  using u64 = uint64_t;
 
  static constexpr u32 get_r() {
    u32 ret = mod;
    for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret;
    return ret;
  }
 
  static constexpr u32 r = get_r();
  static constexpr u32 n2 = -u64(mod) % mod;
  static_assert(r * mod == 1, "invalid, r * mod != 1");
  static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
  static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");
 
  u32 a;
 
  constexpr LazyMontgomeryModInt() : a(0) {}
  constexpr LazyMontgomeryModInt(const int64_t &b)
      : a(reduce(u64(b % mod + mod) * n2)){};
 
  static constexpr u32 reduce(const u64 &b) {
    return (b + u64(u32(b) * u32(-r)) * mod) >> 32;
  }
 
  constexpr mint &operator+=(const mint &b) {
    if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator++() {
    return *this += 1;
  }

  constexpr mint operator++(int) {
    auto ret = *this;
    *this += 1;
    return ret;
  }

  constexpr mint &operator-=(const mint &b) {
    if (i32(a -= b.a) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator--() {
    return *this -= 1;
  }

  constexpr mint operator--(int) {
    auto ret = *this;
    *this -= 1;
    return ret;
  }
 
  constexpr mint &operator*=(const mint &b) {
    a = reduce(u64(a) * b.a);
    return *this;
  }
 
  constexpr mint &operator/=(const mint &b) {
    *this *= b.inv();
    return *this;
  }
 
  constexpr friend mint operator+(mint a, const mint &b) { return a += b; }
  constexpr friend mint operator-(mint a, const mint &b) { return a -= b; }
  constexpr friend mint operator*(mint a, const mint &b) { return a *= b; }
  constexpr friend mint operator/(mint a, const mint &b) { return a /= b; }
  constexpr friend bool operator==(mint const& a, const mint &b) {
    return (a.a >= mod ? a.a - mod : a.a) == (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr friend bool operator!=(mint const& a, const mint &b) {
    return (a.a >= mod ? a.a - mod : a.a) != (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr friend bool operator<(mint const& a, const mint &b) {
    return (a.a >= mod ? a.a - mod : a.a) < (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr mint operator-() const { return mint() - mint(*this); }
 
  constexpr mint power(int64_t n) const {
    mint ret(1), mul(*this);
    if (n < 0) {
      n = -n;
      mul = mul.inv();
    }
    while (n > 0) {
      if (n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
  
  constexpr mint inv() const { return power(mod - 2); }
 
  friend ostream &operator<<(ostream &os, const mint &b) {
    return os << b.get();
  }
 
  friend istream &operator>>(istream &is, mint &b) {
    int64_t t;
    is >> t;
    b = LazyMontgomeryModInt<mod>(t);
    return (is);
  }
  
  constexpr u32 get() const {
    u32 ret = reduce(a);
    return ret >= mod ? ret - mod : ret;
  }

  constexpr explicit operator int() const {
    return int(get());
  }

  constexpr explicit operator bool() const {
    return bool(get());
  }
 
  static constexpr u32 get_mod() { return mod; }
};
 
template <typename T>
struct Binomial {
  vector<T> f, g, h;
  Binomial(int MAX = 0) : f(1, T(1)), g(1, T(1)), h(1, T(1)) {
    extend(MAX + 1);    
  }

  void extend(int m) {
    int n = f.size();

    if (n >= m) {
      return;
    }

    f.resize(m);
    g.resize(m);
    h.resize(m);
    for (int i = n; i < m; i++) f[i] = f[i - 1] * T(i);
    g[m - 1] = f[m - 1].inv();
    h[m - 1] = g[m - 1] * f[m - 2];
    for (int i = m - 2; i >= n; i--) {
      g[i] = g[i + 1] * T(i + 1);
      h[i] = g[i] * f[i - 1];
    } 
  }

  void extend() {
    extend(2 * f.size());
  }
 
  T fact(int i) {
    if (i < 0) return T(0);
    while (i >= (int)f.size()) extend();
    return f[i];
  }
 
  T ifact(int i) {
    if (i < 0) return T(0);
    while (i >= (int)g.size()) extend();
    return g[i];
  }
 
  T inv(int i) {
    if (i < 0) return -inv(-i);
    while (i >= (int)h.size()) extend();
    return h[i];
  }
 
  T C(int n, int r) {
    if (n < 0 || n < r || r < 0) return T(0);
    return fact(n) * ifact(n - r) * ifact(r);
  }
 
  inline T operator()(int n, int r) { return C(n, r); }
 
  template <typename I>
  T multinomial(const vector<I>& r) {
    static_assert(is_integral<I>::value == true);
    int n = 0;
    for (auto& x : r) {
      if(x < 0) return T(0);
      n += x;
    }
    T res = fact(n);
    for (auto& x : r) res *= ifact(x);
    return res;
  }
 
  template <typename I>
  T operator()(const vector<I>& r) {
    return multinomial(r);
  }
 
  T C_naive(int n, int r) {
    if (n < 0 || n < r || r < 0) return T(0);
    T ret = T(1);
    r = min(r, n - r);
    for (int i = 1; i <= r; ++i) ret *= inv(i) * (n--);
    return ret;
  }
 
  T A(int n, int r) {
    if (n < 0 || n < r || r < 0) return T(0);
    return fact(n) * ifact(n - r);
  }
 
  T CR(int n, int r) {
    if (n < 0 || r < 0) return T(0);
    return r == 0 ? 1 : C(n + r - 1, r);
  }
};
// int const MOD = 998244353;
int const MOD = int(1e9 + 7);
using mint = LazyMontgomeryModInt<MOD>;
Binomial<mint> C;

vector<mint> mkpow(mint base, int mx) {
  vector<mint> res(mx + 1);
  res[0] = 1;
  for (int i = 1; i <= mx; ++i) {
    res[i] = res[i - 1] * base;
  }
  return res;
}

template <class T, class M>
struct LazySegmentTree {
  int pw;
  int n;
  int H;

  struct Node {
    T val{};
    M mod{};

    void apply(M const& x) {
      mod.apply(x);
      val.apply(x);
    }

    Node operator+(Node const& other) const {
      return Node{val + other.val};
    }
  };
  vector<Node> tree;

  template <class F>
  LazySegmentTree(int n_, F const& f) : n(n_), H(0) {
    pw = 1;
    while (pw < n) {
      pw *= 2;
      H++;
    }
    tree.resize(2 * pw);
    for (int i = 0; i < n; ++i) {
      tree[pw + i].val = f(i);
    }
    for (int i = pw - 1; i > 0; --i) {
      tree[i] = tree[2 * i] + tree[2 * i + 1];
    }
  }

  void push(int v) {
    tree[2 * v].apply(tree[v].mod);
    tree[2 * v + 1].apply(tree[v].mod);
    tree[v].mod = M();
  }

  T query(int ql, int qr) {
    ql += pw;
    qr += pw;
    for (int i = H; i >= 1; --i) {
      push(ql >> i);
      push((qr - 1) >> i);
    }
    T L{}, R{};
    for (; ql < qr; ql /= 2, qr /= 2) {
      if (ql & 1) {
        L = L + tree[ql++];
      }
      if (qr & 1) {
        R = tree[--qr] + R;
      }
    }
    return L + R;
  }

  void modRange(int ql, int qr, M const& mod) {
    ql += pw;
    qr += pw;
    for (int i = H; i >= 1; --i) {
      push(ql >> i);
      push((qr - 1) >> i);
    }
    int iql = ql;
    int iqr = qr;
    for (; ql < qr; ql /= 2, qr /= 2) {
      if (ql & 1) {
        tree[ql++].apply(mod);
      }
      if (qr & 1) {
        tree[--qr].apply(mod);
      }
    }
    ql = iql;
    qr = iqr;
    for (int i = H; i >= 1; --i) {
      push(ql >> i);
      push((qr - 1) >> i);
    }
    for (int i = 1; i <= H; ++i) {
      tree[ql >> i] = tree[ql >> (i - 1)] + tree[ql >> (i - 1) | 1];
      tree[(qr - 1) >> i] = tree[(qr - 1) >> (i - 1)] + tree[(qr - 1) >> (i - 1) | 1];
    }
  }

  template <class F>
  void modPoint(int at, F const& f) {
    at += pw;
    for (int i = H; i >= 1; --i) {
      push(at >> i);
    }
    for (f(tree[at].val); at /= 2; ) {
      tree[at] = tree[2 * at] + tree[2 * at + 1];
    }
  }

  void setPoint(int at, T const& t) {
    modPoint(at, [&](T& x) { x = t; });
  }

  struct FindResult {
    T val{};
    int pos = -1;
  };

  template <class F>
  FindResult findFirst(int v, int l, int r, int ql, int qr, F const& f, T pref) {
    if (ql >= r || l >= qr) {
      return {pref, -1};
    }
    if (ql <= l && r <= qr) {
      if (!f(pref + tree[v].val)) {
        return {pref + tree[v].val, -1};
      }
      if (l + 1 == r) {
        return {pref + tree[v].val, l};
      }
      int m = (l + r) / 2;
      push(v);
      if (f(pref + tree[2 * v].val)) {
        return findFirst(2 * v, l, m, ql, qr, f, pref);
      } else {
        return findFirst(2 * v + 1, m, r, ql, qr, f, pref + tree[2 * v].val);
      }
    } else {
      int m = (l + r) / 2;
      push(v);
      auto res = findFirst(2 * v, l, m, ql, qr, f, pref);
      if (res.pos == -1) {
        return findFirst(2 * v + 1, m, r, ql, qr, f, res.val);
      } else {
        return res;
      }
    }
  }  

  template <class F>
  FindResult findFirst(int ql, int qr, F const& f) {
    return findFirst(1, 0, pw, ql, qr, f, T());
  }

  template <class F>
  FindResult findLast(int v, int l, int r, int ql, int qr, F const& f, T suff) {
    if (ql >= r || l >= qr) {
      return {suff, -1};
    }
    if (ql <= l && r <= qr) {
      if (!f(tree[v].val + suff)) {
        return {tree[v].val + suff, -1};
      }
      if (l + 1 == r) {
        return {tree[v].val + suff, l};
      }
      int m = (l + r) / 2;
      push(v);
      if (f(tree[2 * v + 1].val + suff)) {
        return findLast(2 * v + 1, m, r, ql, qr, f, suff);
      } else {
        return findLast(2 * v, l, m, ql, qr, f, tree[2 * v + 1].val + suff);
      }
    } else {
      int m = (l + r) / 2;
      push(v);
      auto res = findLast(2 * v + 1, m, r, ql, qr, f, suff);
      if (res.pos == -1) {
        return findLast(2 * v, l, m, ql, qr, f, res.val);
      } else {
        return res;
      }
    }
  }

  template <class F>
  FindResult findLast(int ql, int qr, F const& f) {
    return findLast(1, 0, pw, ql, qr, f, T());
  }

  T all() {
    return tree[1].val;
  }
};

struct HLD {
  int n;
  vector<int> tin, tout, nxt, depth, par, invtin, sz;

  HLD(vector<vector<int>>& g) {
    n = int(g.size());
    tin.resize(n);
    tout.resize(n);
    nxt.resize(n);
    depth.resize(n);
    par.resize(n, -1);
    invtin.resize(n);
    sz.resize(n);

    auto dfs1 = [&](auto self, int v, int p = -1) -> void {
      {
        auto it = find(g[v].begin(), g[v].end(), p);
        if (it != g[v].end()) {
          g[v].erase(it);
        }
      }
      sz[v] = 1;
      for (int& u : g[v]) {
        depth[u] = depth[v] + 1;
        par[u] = v;
        self(self, u, v);
        sz[v] += sz[u];
        if (sz[u] > sz[g[v][0]]) {
          swap(u, g[v][0]);
        }
      }
    };
    int timer = 0;
    auto dfs2 = [&](auto self, int v) -> void {
      tin[v] = timer++;
      invtin[tin[v]] = v;

      for (int u : g[v]) {
        nxt[u] = (u == g[v][0] ? nxt[v] : u);
        self(self, u);
      }

      tout[v] = timer;
    };

    dfs1(dfs1, 0);
    dfs2(dfs2, 0);
  }

  template <class F>
  void forSubtree(int v, F const& f, bool include = 1) {
    f(tin[v] + 1 - include, tout[v]);
  }

  int LCA(int u, int v) {
    while (true) {
      int nu = nxt[u];
      int nv = nxt[v];
      if (nu == nv) {
        return depth[u] < depth[v] ? u : v;
      }
      if (depth[nu] > depth[nv]) {
        swap(u, v);
        swap(nu, nv);
      }
      v = par[nv];
    }
  }

  //  order is not guaranteed
  template <class F>
  void forPath(int u, int v, F const& f, bool include = 1) {
    while (true) {
      int nu = nxt[u];
      int nv = nxt[v];
      if (nu == nv) {
        if (depth[u] < depth[v]) {
          f(tin[u] + 1 - include, tin[v] + 1);
        } else {
          f(tin[v] + 1 - include, tin[u] + 1);
        }
        return;
      }
      if (depth[nu] > depth[nv]) {
        swap(u, v);
        swap(nu, nv);
      }
      f(tin[nv], tin[v] + 1);
      v = par[nv];
    }
  }
};

int main() {
#ifdef GOLIKOV
  assert(freopen("in", "rt", stdin));
  auto _clock_start = chrono::high_resolution_clock::now();
#endif
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  int n; cin >> n;
  vector<vector<int>> graph(n);
  for (int i = 0; i < n - 1; ++i) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    graph[u].push_back(v);
    graph[v].push_back(u);
  }
  HLD hld(graph);
  struct M {
    mint mul1 = 1;
    mint mul2 = 1;

    void apply(M const& d) {
      mul1 *= d.mul1;
      mul2 *= d.mul2;
    }
  };
  struct T {
    mint sum1{};
    mint sum2{};

    T operator+(T const& other) const {
      return T{sum1 + other.sum1, sum2 + other.sum2};
    }

    void apply(M const& d) {
      sum1 *= d.mul1;
      sum2 *= d.mul2;
    }
  };
  LazySegmentTree<T, M> tree(n, [&](int) {
    return T{1, 1};
  });

  auto ModifyPath = [&](int u, int v, mint x, mint y, bool include) {
    debug("path", u, v, x, y, include);
    hld.forPath(u, v, [&](int l, int r) {
      tree.modRange(l, r, M{x, y});
    }, include);
  };
  auto ModifyPoint = [&](int v, mint x, mint y) {
    debug("point", v, x, y);
    tree.modPoint(hld.tin[v], [&](T& val) {
      val.sum1 *= x;
      val.sum2 *= y;
    });
  };
  auto Modify = [&](int u, int v, mint mul) {
    ModifyPath(u, v, mul, mul, 1);
    ModifyPoint(hld.LCA(u, v), 1, 1 / mul);
  };

  int q; cin >> q;
  while (q--) {
    char ch;
    int u, v;
    cin >> ch >> u >> v;
    --u, --v;
    Modify(u, v, ch == '+' ? 2 : C.inv(2));
    cout << tree.all().sum1 - tree.all().sum2 << '\n';
  }

#ifdef GOLIKOV
  cerr << "Executed in " << chrono::duration_cast<chrono::milliseconds>(
      chrono::high_resolution_clock::now()
          - _clock_start).count() << "ms." << endl;
#endif
  return 0;
}
源文件, 语言: C++20

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3620kb

input:

5
1 2
5 1
2 3
4 2
6
+ 4 5
+ 2 2
+ 1 3
- 2 2
+ 2 3
+ 4 4

output:

1
3
7
3
7
9

result:

ok 6 lines

Test #2:

score: -100
Wrong Answer
time: 0ms
memory: 3612kb

input:

20
8 7
19 10
12 14
3 16
17 13
7 10
5 6
1 9
15 12
5 2
16 13
3 11
20 14
18 6
1 14
16 20
11 10
3 4
20 6
30
+ 10 20
+ 14 20
+ 12 17
- 14 20
- 12 17
+ 4 6
+ 8 20
+ 3 6
- 10 20
+ 2 17
+ 1 16
+ 6 10
+ 9 10
+ 5 15
+ 7 8
- 7 8
+ 2 5
+ 3 18
+ 1 20
+ 8 16
- 3 18
- 5 15
+ 4 20
+ 14 16
- 4 6
+ 8 19
+ 4 7
- 1 16
...

output:

1
3
3
3
0
3
7
15
7
15
1
63
127
255
257
255
259
519
1031
1283
647
391
771
1043
771
785
833
329
707
355

result:

wrong answer 3rd lines differ - expected: '7', found: '3'
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