#include #include #include #include #include #include template struct SlidingWindowMaximum { using value_type = T; SlidingWindowMaximum() { clear(); } void push_back(const value_type& v) { while (_dq.size() and _dq.back().first < v) _dq.pop_back(); _dq.emplace_back(v, _r++); } void pop_front() { assert(size()); if (_dq.front().second == _l++) _dq.pop_front(); } value_type query() const { return _dq.front().first; } void clear() { _l = _r = 0; _dq.clear(); } int size() const { return _r - _l; } private: std::size_t _l, _r; std::deque> _dq; }; constexpr int64_t inf = std::numeric_limits::max() / 2; int main() { int n; std::cin >> n; std::vector c(n + 1); std::vector v(n + 1); for (int i = 1; i <= n; ++i) { std::cin >> c[i] >> v[i]; } std::vector dp(n + 1, std::vector(n + 1, -inf)); dp[0][0] = 0; SlidingWindowMaximum sw; for (int32_t i = n; i > 0; --i) { const int32_t max_num = std::min(n, n / i); const int32_t max_sum = n; // dp[num][sum] = max{ pd[num-p][sum-p*i]-(num-p)*v[i] | 0<=p<=c[i] } ⋃ {-∞} + num*v[i] for (int32_t num = 0; num <= max_num; ++num) { const int32_t sum_r = num ? i - 1 : max_sum; for (int32_t sum = 0; sum <= sum_r; ++sum) { const int32_t max_p = std::min(max_num - num, (max_sum - sum) / i); sw.clear(); for (int32_t p = 0; p <= max_p; ++p) { sw.push_back(dp[num + p][sum + i * p] - (num + p) * v[i]); if (p > c[i]) sw.pop_front(); dp[num + p][sum + i * p] = sw.query() + (num + p) * v[i]; } } } } for (int32_t k = 1; k <= n; ++k) { std::cout << *std::max_element(dp[k].begin(), dp[k].end()) << '\n'; } return 0; }