Submission #627198

#	Time	Username	Problem	Language	Result	Execution time	Memory
627198		model_code	Digital Circuit (IOI22_circuit)	C++17	100 / 100	1402 ms	23608 KiB

circuit

// correct/solution-jonathanirvings.cpp
#include "circuit.h"

#include <bits/stdc++.h>
using namespace std;

#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
constexpr int bsf_constexpr(unsigned int n) {
    int x = 0;
    while (!(n & (1 << x))) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

}  // namespace internal

}  // namespace atcoder

#endif  // ATCODER_INTERNAL_BITOP_HPP

#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1

#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>

namespace atcoder {

template <class S,
          S (*op)(S, S),
          S (*e)(),
          class F,
          S (*mapping)(F, S),
          F (*composition)(F, F),
          F (*id)()>
struct lazy_segtree {
  public:
    lazy_segtree() : lazy_segtree(0) {}
    explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
    explicit lazy_segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = internal::ceil_pow2(_n);
        size = 1 << log;
        d = std::vector<S>(2 * size, e());
        lz = std::vector<F>(size, id());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return d[p];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return e();

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        S sml = e(), smr = e();
        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    void apply(int p, F f) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = mapping(f, d[p]);
        for (int i = 1; i <= log; i++) update(p >> i);
    }
    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, f);
                if (r & 1) all_apply(--r, f);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for (int i = 1; i <= log; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

    template <bool (*g)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return g(x); });
    }
    template <class G> int max_right(int l, G g) {
        assert(0 <= l && l <= _n);
        assert(g(e()));
        if (l == _n) return _n;
        l += size;
        for (int i = log; i >= 1; i--) push(l >> i);
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!g(op(sm, d[l]))) {
                while (l < size) {
                    push(l);
                    l = (2 * l);
                    if (g(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*g)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return g(x); });
    }
    template <class G> int min_left(int r, G g) {
        assert(0 <= r && r <= _n);
        assert(g(e()));
        if (r == 0) return 0;
        r += size;
        for (int i = log; i >= 1; i--) push((r - 1) >> i);
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!g(op(d[r], sm))) {
                while (r < size) {
                    push(r);
                    r = (2 * r + 1);
                    if (g(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

  private:
    int _n, size, log;
    std::vector<S> d;
    std::vector<F> lz;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
    void all_apply(int k, F f) {
        d[k] = mapping(f, d[k]);
        if (k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k) {
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }
};

}  // namespace atcoder

#endif  // ATCODER_LAZYSEGTREE_HPP

template <int Mod>
struct ModInt {
  
  ModInt() : num_(0) {}

  template <class T>
  ModInt(T num) {
    long long x = (long long)(num % (long long)(Mod));
    if (x < 0) x += Mod;
    num_ = (int)(x);
  }

  ModInt& operator++() {
    num_++;
    if (num_ == Mod) num_ = 0;
    return *this;
  }
  ModInt& operator--() {
    if (num_ == 0) num_ = Mod;
    num_--;
    return *this;
  }
  ModInt operator++(int) {
    ModInt result = *this;
    ++*this;
    return result;
  }
  ModInt operator--(int) {
    ModInt result = *this;
    --*this;
    return result;
  }

  ModInt& operator+=(const ModInt& rhs) {
    num_ += rhs.num_;
    if (num_ >= Mod) num_ -= Mod;
    return *this;
  }
  ModInt& operator-=(const ModInt& rhs) {
    num_ -= rhs.num_;
    if (num_ < 0) num_ += Mod;
    return *this;
  }
  ModInt& operator*=(const ModInt& rhs) {
    long long z = num_;
    z *= rhs.num_;
    num_ = (int)(z % Mod);
    return *this;
  }
  ModInt& operator/=(const ModInt& rhs) { return *this = *this * rhs.inv(); }

  ModInt operator+() const { return *this; }
  ModInt operator-() const { return ModInt() - *this; }

  ModInt pow(long long n) const {
    assert(0 <= n);
    ModInt x = *this, r = 1;
    while (n) {
      if (n & 1) r *= x;
      x *= x;
      n >>= 1;
    }
    return r;
  }
  ModInt inv() const {
    return pow(Mod - 2);
  }
 
  friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) += rhs;
  }
  friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) -= rhs;
  }
  friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) *= rhs;
  }
  friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) {
    return ModInt(lhs) /= rhs;
  }
  friend bool operator==(const ModInt& lhs, const ModInt& rhs) {
    return lhs.num_ == rhs.num_;
  }
  friend bool operator!=(const ModInt& lhs, const ModInt& rhs) {
    return lhs.num_ != rhs.num_;
  }

  int get() const { return num_; }
 
  int num_;
};

using Int = ModInt<1'000'002'022>;
using Node = pair<Int, Int>;
using Change = bool;

Node merge(Node a, Node b) {
  return make_pair(a.first + b.first, a.second + b.second);
}

Node e() {
  return make_pair(0, 0);
}

Node apply(Change change, Node node) {
  if (change) {
    node.first = node.second - node.first;
  }
  return node;
}

Change compose(Change f, Change g) {
  return f ^ g;
}

Change id() {
  return false;
}

using ContributionSegTree = atcoder::lazy_segtree<
    Node, merge, e, Change, apply, compose, id>;

int N;
ContributionSegTree* segtree;

void init(int _N, int M, vector<int> P, vector<int> A) {
  N = _N;
  vector<vector<int>> child(N);
  for (int i = 1; i < N + M; ++i) {
    child[P[i]].push_back(i);
  }

  vector<Int> contribution(M);

  vector<Int> subtree(N + M, 1), subtree_left(N + M), subtree_right(N + M);
  function<void (int)> compute_subtree = [&] (int u) {
    if (u >= N) {
      return;
    }
    subtree[u] = child[u].size();
    for (int v : child[u]) {
      compute_subtree(v);
      subtree[u] *= subtree[v];
    }
    for (int i = 0; i < static_cast<int>(child[u].size()); ++i) {
      subtree_left[child[u][i]] = subtree[child[u][i]];
      if (i > 0) {
        subtree_left[child[u][i]] *= subtree_left[child[u][i - 1]];
      }
    }
    for (int i = static_cast<int>(child[u].size()) - 1; i >= 0; --i) {
      subtree_right[child[u][i]] = subtree[child[u][i]];
      if (i + 1 < static_cast<int>(child[u].size())) {
        subtree_right[child[u][i]] *= subtree_right[child[u][i + 1]];
      }
    }
    return;
  };
  compute_subtree(0);

  function<void (int, Int)> compute_contribution = [&] (int u, Int current) {
    if (u >= N) {
      contribution[u - N] = current;
      return;
    }
    for (int i = 0; i < static_cast<int>(child[u].size()); ++i) {
      Int nxt = current;
      if (i > 0) {
        nxt *= subtree_left[child[u][i - 1]];
      }
      if (i + 1 < static_cast<int>(child[u].size())) {
        nxt *= subtree_right[child[u][i + 1]];
      }
      compute_contribution(child[u][i], nxt);
    }
  };
  compute_contribution(0, 1);

  segtree = new ContributionSegTree(M);
  for (int i = 0; i < M; ++i) {
    segtree->set(i, make_pair(A[i] * contribution[i], contribution[i]));
  }
}

int count_ways(int L, int R) {
  segtree->apply(L - N, R - N + 1, true);
  return segtree->all_prod().first.get();
}

• Subtask 1: 2 / 2
• Subtask 2: 7 / 7
• Subtask 3: 9 / 9
• Subtask 4: 4 / 4
• Subtask 5: 12 / 12
• Subtask 6: 27 / 27
• Subtask 7: 28 / 28
• Subtask 8: 11 / 11