//v / wが大きいほうから再帰探索 → 分岐限定で枝刈り #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; long long maxV(int id, long long remW, long long sumV) { if (id == n) { maxSumV = max(maxSumV, sumV); return 0; } if (remW * bag[id].key <= maxSumV - sumV) { //戻り値の上界<=maxSumVが更新されるような戻り値の下界 return 0; } long long res, ret = 0; if (remW >= bag[id].w) { res = maxV(id + 1, remW - bag[id].w, sumV + bag[id].v) + bag[id].v; ret = max(res, ret); } res = maxV(id + 1, remW, sumV); ret = max(res, ret); return ret; } int main() { int i; cin >> n >> w; for (i = 0; i < n; i++) { long long v, w; cin >> v >> w; bag[i] = Baggage(v, w); } sort(bag, bag + n, greater()); cout << maxV(0, w, 0) << endl; return 0; }