Problem p02648 (C++) — buggy submission, verdict: Time Limit Exceeded

#define DEBUG 0
/**
 * File    : D.cpp
 * Author  : Kazune Takahashi
 * Created : 6/14/2020, 2:15:35 AM
 * Powered by Visual Studio Code
 */
#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <vector>
// ----- boost -----
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/rational.hpp>
// ----- using directives and manipulations -----
using namespace std;
using boost::rational;
using boost::multiprecision::cpp_int;
using ll = long long;
using ld = long double;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
// ----- constexpr for Mint and Combination -----
constexpr ll MOD{1'000'000'007LL};
// constexpr ll MOD{998'244'353LL}; // be careful
constexpr ll MAX_SIZE{3'000'010LL};
// constexpr ll MAX_SIZE{30'000'010LL}; // if 10^7 is needed
// ----- ch_max and ch_min -----
template <typename T> void ch_max(T &left, T right) {
  if (left < right) {
    left = right;
  }
}
template <typename T> void ch_min(T &left, T right) {
  if (left > right) {
    left = right;
  }
}
// ----- Mint -----
template <ll MOD = MOD> class Mint {
public:
  ll x;
  Mint() : x{0LL} {}
  Mint(ll x) : x{(x % MOD + MOD) % MOD} {}
  Mint operator-() const { return x ? MOD - x : 0; }
  Mint &operator+=(Mint const &a) {
    if ((x += a.x) >= MOD) {
      x -= MOD;
    }
    return *this;
  }
  Mint &operator-=(Mint const &a) { return *this += -a; }
  Mint &operator++() { return *this += 1; }
  Mint operator++(int) {
    Mint tmp{*this};
    ++*this;
    return tmp;
  }
  Mint &operator--() { return *this -= 1; }
  Mint operator--(int) {
    Mint tmp{*this};
    --*this;
    return tmp;
  }
  Mint &operator*=(Mint const &a) {
    (x *= a.x) %= MOD;
    return *this;
  }
  Mint &operator/=(Mint const &a) {
    Mint b{a};
    return *this *= b.power(MOD - 2);
  }
  Mint operator+(Mint const &a) const { return Mint(*this) += a; }
  Mint operator-(Mint const &a) const { return Mint(*this) -= a; }
  Mint operator*(Mint const &a) const { return Mint(*this) *= a; }
  Mint operator/(Mint const &a) const { return Mint(*this) /= a; }
  bool operator<(Mint const &a) const { return x < a.x; }
  bool operator<=(Mint const &a) const { return x <= a.x; }
  bool operator>(Mint const &a) const { return x > a.x; }
  bool operator>=(Mint const &a) const { return x >= a.x; }
  bool operator==(Mint const &a) const { return x == a.x; }
  bool operator!=(Mint const &a) const { return !(*this == a); }
  Mint power(ll N) const {
    if (N == 0) {
      return 1;
    } else if (N % 2 == 1) {
      return *this * power(N - 1);
    } else {
      Mint half = power(N / 2);
      return half * half;
    }
  }
};
template <ll MOD> Mint<MOD> operator+(ll lhs, Mint<MOD> const &rhs) {
  return rhs + lhs;
}
template <ll MOD> Mint<MOD> operator-(ll lhs, Mint<MOD> const &rhs) {
  return -rhs + lhs;
}
template <ll MOD> Mint<MOD> operator*(ll lhs, Mint<MOD> const &rhs) {
  return rhs * lhs;
}
template <ll MOD> Mint<MOD> operator/(ll lhs, Mint<MOD> const &rhs) {
  return Mint<MOD>{lhs} / rhs;
}
template <ll MOD> istream &operator>>(istream &stream, Mint<MOD> &a) {
  return stream >> a.x;
}
template <ll MOD> ostream &operator<<(ostream &stream, Mint<MOD> const &a) {
  return stream << a.x;
}
// ----- Combination -----
template <ll MOD = MOD, ll MAX_SIZE = MAX_SIZE> class Combination {
public:
  vector<Mint<MOD>> inv, fact, factinv;
  Combination() : inv(MAX_SIZE), fact(MAX_SIZE), factinv(MAX_SIZE) {
    inv[1] = 1;
    for (auto i{2LL}; i < MAX_SIZE; i++) {
      inv[i] = (-inv[MOD % i]) * (MOD / i);
    }
    fact[0] = factinv[0] = 1;
    for (auto i{1LL}; i < MAX_SIZE; i++) {
      fact[i] = Mint<MOD>(i) * fact[i - 1];
      factinv[i] = inv[i] * factinv[i - 1];
    }
  }
  Mint<MOD> operator()(int n, int k) {
    if (n >= 0 && k >= 0 && n - k >= 0) {
      return fact[n] * factinv[k] * factinv[n - k];
    }
    return 0;
  }
  Mint<MOD> catalan(int x, int y) {
    return (*this)(x + y, y) - (*this)(x + y, y - 1);
  }
};
// ----- for C++14 -----
using mint = Mint<MOD>;
using combination = Combination<MOD, MAX_SIZE>;
template <typename T> T gcd(T x, T y) { return y ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }
// ----- for C++17 -----
template <typename T>
int popcount(T x) // C++20
{
  int ans{0};
  while (x != 0) {
    ans += x & 1;
    x >>= 1;
  }
  return ans;
}
// ----- Infty -----
template <typename T> constexpr T Infty() { return numeric_limits<T>::max(); }
template <typename T> constexpr T mInfty() { return numeric_limits<T>::min(); }
// ----- frequently used constexpr -----
// constexpr double epsilon{1e-10};
// constexpr ll infty{1'000'000'000'000'010LL}; // or
// constexpr int infty{1'000'000'010};
// constexpr int dx[4] = {1, 0, -1, 0};
// constexpr int dy[4] = {0, 1, 0, -1};
// ----- Yes() and No() -----
void Yes() {
  cout << "Yes" << endl;
  exit(0);
}
void No() {
  cout << "No" << endl;
  exit(0);
}

// ----- Solve -----

constexpr int D{9};
constexpr int M{100010};

struct Info {
  int value, weight;
};

Info operator+(Info const &l, Info const &r) {
  return Info{l.value + r.value, l.weight + r.weight};
}

ostream &operator<<(ostream &os, Info const &x) {
  return os << "(" << x.value << ", " << x.weight << ")";
}

class Solve {
  int N, Q;
  vector<int> V, W;
  vector<int> X, L;
  vector<vector<int>> DP;

public:
  Solve() : V(1), W(1), X{}, L{}, DP(1 << D) {
    cin >> N;
    for (auto i{0}; i < N; ++i) {
      int x, y;
      cin >> x >> y;
      V.push_back(x);
      W.push_back(y);
    }
    cin >> Q;
    for (auto i{0}; i < Q; ++i) {
      int x, y;
      cin >> x >> y;
      X.push_back(x);
      L.push_back(y);
    }
  }

  void flush() {
    for (auto i{0}; i < min(N + 1, 1 << D); ++i) {
      DP[i] = make_knapsack(i);
    }
    for (auto i{0}; i < Q; ++i) {
      cout << calc_ans(X[i], L[i]) << endl;
    }
  }

private:
  int calc_ans(int v, int l) {
    vector<Info> T{Info{0, 0}};
    while (v >= 1 << D) {
      vector<Info> U;
      Info tmp{V[v], W[v]};
      for (auto const &e : T) {
        U.push_back(tmp + e);
      }
      copy(U.begin(), U.end(), back_inserter(T));
      v >>= 1;
    }
    int ans{0};
    for (auto const &e : T) {
      if (e.weight > l) {
        continue;
      }
      ch_max(ans, DP[v][l - e.weight] + e.value);
    }
    return ans;
  }

  vector<int> make_knapsack(int v) {
    vector<int> dp(M, 0);
    while (v > 0) {
      for (auto i{M - 1}; i >= 0; --i) {
        if (int t{i + W[v]}; t < M) {
          ch_max(dp[t], dp[i] + V[v]);
        }
      }
      v >>= 1;
    }
    return dp;
  }
};

// ----- main() -----

int main() {
  Solve solve;
  solve.flush();
}


Error: TLE

Fixed submission:

#define DEBUG 0
/**
 * File    : D.cpp
 * Author  : Kazune Takahashi
 * Created : 6/14/2020, 2:15:35 AM
 * Powered by Visual Studio Code
 */
#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <vector>
// ----- boost -----
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/rational.hpp>
// ----- using directives and manipulations -----
using namespace std;
using boost::rational;
using boost::multiprecision::cpp_int;
using ll = long long;
using ld = long double;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
// ----- constexpr for Mint and Combination -----
constexpr ll MOD{1'000'000'007LL};
// constexpr ll MOD{998'244'353LL}; // be careful
constexpr ll MAX_SIZE{3'000'010LL};
// constexpr ll MAX_SIZE{30'000'010LL}; // if 10^7 is needed
// ----- ch_max and ch_min -----
template <typename T> void ch_max(T &left, T right) {
  if (left < right) {
    left = right;
  }
}
template <typename T> void ch_min(T &left, T right) {
  if (left > right) {
    left = right;
  }
}
// ----- Mint -----
template <ll MOD = MOD> class Mint {
public:
  ll x;
  Mint() : x{0LL} {}
  Mint(ll x) : x{(x % MOD + MOD) % MOD} {}
  Mint operator-() const { return x ? MOD - x : 0; }
  Mint &operator+=(Mint const &a) {
    if ((x += a.x) >= MOD) {
      x -= MOD;
    }
    return *this;
  }
  Mint &operator-=(Mint const &a) { return *this += -a; }
  Mint &operator++() { return *this += 1; }
  Mint operator++(int) {
    Mint tmp{*this};
    ++*this;
    return tmp;
  }
  Mint &operator--() { return *this -= 1; }
  Mint operator--(int) {
    Mint tmp{*this};
    --*this;
    return tmp;
  }
  Mint &operator*=(Mint const &a) {
    (x *= a.x) %= MOD;
    return *this;
  }
  Mint &operator/=(Mint const &a) {
    Mint b{a};
    return *this *= b.power(MOD - 2);
  }
  Mint operator+(Mint const &a) const { return Mint(*this) += a; }
  Mint operator-(Mint const &a) const { return Mint(*this) -= a; }
  Mint operator*(Mint const &a) const { return Mint(*this) *= a; }
  Mint operator/(Mint const &a) const { return Mint(*this) /= a; }
  bool operator<(Mint const &a) const { return x < a.x; }
  bool operator<=(Mint const &a) const { return x <= a.x; }
  bool operator>(Mint const &a) const { return x > a.x; }
  bool operator>=(Mint const &a) const { return x >= a.x; }
  bool operator==(Mint const &a) const { return x == a.x; }
  bool operator!=(Mint const &a) const { return !(*this == a); }
  Mint power(ll N) const {
    if (N == 0) {
      return 1;
    } else if (N % 2 == 1) {
      return *this * power(N - 1);
    } else {
      Mint half = power(N / 2);
      return half * half;
    }
  }
};
template <ll MOD> Mint<MOD> operator+(ll lhs, Mint<MOD> const &rhs) {
  return rhs + lhs;
}
template <ll MOD> Mint<MOD> operator-(ll lhs, Mint<MOD> const &rhs) {
  return -rhs + lhs;
}
template <ll MOD> Mint<MOD> operator*(ll lhs, Mint<MOD> const &rhs) {
  return rhs * lhs;
}
template <ll MOD> Mint<MOD> operator/(ll lhs, Mint<MOD> const &rhs) {
  return Mint<MOD>{lhs} / rhs;
}
template <ll MOD> istream &operator>>(istream &stream, Mint<MOD> &a) {
  return stream >> a.x;
}
template <ll MOD> ostream &operator<<(ostream &stream, Mint<MOD> const &a) {
  return stream << a.x;
}
// ----- Combination -----
template <ll MOD = MOD, ll MAX_SIZE = MAX_SIZE> class Combination {
public:
  vector<Mint<MOD>> inv, fact, factinv;
  Combination() : inv(MAX_SIZE), fact(MAX_SIZE), factinv(MAX_SIZE) {
    inv[1] = 1;
    for (auto i{2LL}; i < MAX_SIZE; i++) {
      inv[i] = (-inv[MOD % i]) * (MOD / i);
    }
    fact[0] = factinv[0] = 1;
    for (auto i{1LL}; i < MAX_SIZE; i++) {
      fact[i] = Mint<MOD>(i) * fact[i - 1];
      factinv[i] = inv[i] * factinv[i - 1];
    }
  }
  Mint<MOD> operator()(int n, int k) {
    if (n >= 0 && k >= 0 && n - k >= 0) {
      return fact[n] * factinv[k] * factinv[n - k];
    }
    return 0;
  }
  Mint<MOD> catalan(int x, int y) {
    return (*this)(x + y, y) - (*this)(x + y, y - 1);
  }
};
// ----- for C++14 -----
using mint = Mint<MOD>;
using combination = Combination<MOD, MAX_SIZE>;
template <typename T> T gcd(T x, T y) { return y ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }
// ----- for C++17 -----
template <typename T>
int popcount(T x) // C++20
{
  int ans{0};
  while (x != 0) {
    ans += x & 1;
    x >>= 1;
  }
  return ans;
}
// ----- Infty -----
template <typename T> constexpr T Infty() { return numeric_limits<T>::max(); }
template <typename T> constexpr T mInfty() { return numeric_limits<T>::min(); }
// ----- frequently used constexpr -----
// constexpr double epsilon{1e-10};
// constexpr ll infty{1'000'000'000'000'010LL}; // or
// constexpr int infty{1'000'000'010};
// constexpr int dx[4] = {1, 0, -1, 0};
// constexpr int dy[4] = {0, 1, 0, -1};
// ----- Yes() and No() -----
void Yes() {
  cout << "Yes" << endl;
  exit(0);
}
void No() {
  cout << "No" << endl;
  exit(0);
}

// ----- Solve -----

constexpr int D{12};
constexpr int M{100010};

struct Info {
  int value, weight;
};

Info operator+(Info const &l, Info const &r) {
  return Info{l.value + r.value, l.weight + r.weight};
}

ostream &operator<<(ostream &os, Info const &x) {
  return os << "(" << x.value << ", " << x.weight << ")";
}

class Solve {
  int N, Q;
  vector<int> V, W;
  vector<int> X, L;
  vector<vector<int>> DP;

public:
  Solve() : V(1), W(1), X{}, L{}, DP(1 << D) {
    cin >> N;
    for (auto i{0}; i < N; ++i) {
      int x, y;
      cin >> x >> y;
      V.push_back(x);
      W.push_back(y);
    }
    cin >> Q;
    for (auto i{0}; i < Q; ++i) {
      int x, y;
      cin >> x >> y;
      X.push_back(x);
      L.push_back(y);
    }
  }

  void flush() {
    for (auto i{0}; i < min(N + 1, 1 << D); ++i) {
      DP[i] = make_knapsack(i);
    }
    for (auto i{0}; i < Q; ++i) {
      cout << calc_ans(X[i], L[i]) << endl;
    }
  }

private:
  int calc_ans(int v, int l) {
    vector<Info> T{Info{0, 0}};
    while (v >= 1 << D) {
      vector<Info> U;
      Info tmp{V[v], W[v]};
      for (auto const &e : T) {
        U.push_back(tmp + e);
      }
      copy(U.begin(), U.end(), back_inserter(T));
      v >>= 1;
    }
    int ans{0};
    for (auto const &e : T) {
      if (e.weight > l) {
        continue;
      }
      ch_max(ans, DP[v][l - e.weight] + e.value);
    }
    return ans;
  }

  vector<int> make_knapsack(int v) {
    vector<int> dp(M, 0);
    while (v > 0) {
      for (auto i{M - 1}; i >= 0; --i) {
        if (int t{i + W[v]}; t < M) {
          ch_max(dp[t], dp[i] + V[v]);
        }
      }
      v >>= 1;
    }
    return dp;
  }
};

// ----- main() -----

int main() {
  Solve solve;
  solve.flush();
}