//v / wが大きいほうから探索 → 分岐限定で枝刈り → 上界の計算を厳しくする(O(n)かけて計算) #include #include #include using namespace std; struct Baggage { double key; long long v, w; Baggage() {} Baggage(long long v, long long w) { this->v = v; this->w = w; key = (double)v / w; } bool operator>(const Baggage &r) const { return key > r.key; } }; int n; long long w; Baggage bag[5000]; long long maxSumV; void maxV(int id, long long remW, long long sumV) { if (id == n) { maxSumV = max(maxSumV, sumV); return; } long double kanwaSumV = 0; long double kanwaRemW = remW; for (int i = id; i < n; i++) { if (kanwaRemW >= bag[i].w) { kanwaRemW -= bag[i].w; kanwaSumV += bag[i].v; } else { kanwaSumV += bag[i].v * (kanwaRemW / bag[i].w); break; } } long long kanwaAns = kanwaSumV + sumV; if (kanwaAns <= maxSumV) { return; } if (remW >= bag[id].w) { maxV(id + 1, remW - bag[id].w, sumV + bag[id].v); } maxV(id + 1, remW, sumV); } int main() { int i; cin >> n >> w; long long sumW = 0; for (i = 0; i < n; i++) { long long v, w; cin >> v >> w; bag[i] = Baggage(v, w); sumW += w; } w = min(w, sumW); sort(bag, bag + n, greater()); maxV(0, w, 0); cout << maxSumV << endl; return 0; }