// TLE? Θ(N^2(logN)^2) (using segment tree) #include #include #include #include #include #include #include constexpr int64_t inf = std::numeric_limits::max() / 2; int64_t op(int64_t x, int64_t y) { return std::max(x, y); } int64_t e() { return -inf; } 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; 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); std::vector init(max_p + 1); for (int32_t p = 0; p <= max_p; ++p) { init[p] = dp[num + p][sum + i * p] - (num + p) * v[i]; } atcoder::segtree seg(std::move(init)); for (int32_t p = 0; p <= max_p; ++p) { dp[num + p][sum + i * p] = seg.prod(std::max(0, p - c[i]), p + 1) + (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; }