#include #include #include using namespace std; const int N = 5000; int n; long long C; long long V[N]; long long W[N]; int p[N]; long long ans; // ***************************........ // [--------greedy-----------] // // **********************.*...*.**.... // [--------core---------] void dfs(long long w, long long v, int k) { if (w > C) return; ans = max(ans, v); for (int i = k; i < n; i++) { // You can estimate the upper bound by Rational Knapsack problem. if (v + (double)V[ p[i] ] / W[ p[i] ] * (C - w) < ans - 1e-8) break; dfs(w + W[ p[i] ], v + V[ p[i] ], i + 1); } } int main() { cin >> n >> C; for (int i = 0; i < n; i++) { cin >> V[i] >> W[i]; p[i] = i; } sort(p, p + n, [&](int i, int j) { return (double)V[i] / W[i] > (double)V[j] / W[j]; }); long long v = 0; long long w = 0; int k = 0; while (k < n) { v += V[ p[k] ]; w += W[ p[k] ]; k++; if (w > C) break; } for (int i = k - 1; i >= 0; i--) { w -= W[ p[i] ]; v -= V[ p[i] ]; if (v + (double)V[ p[i] ] / W[ p[i] ] * (C - w) < ans - 1e-8) break; dfs(w, v, i); } cout << ans << endl; }