#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define xprintf(fmt,...) fprintf(stderr,fmt,__VA_ARGS__) #define debugv(v) {printf("L%d %s => ",__LINE__,#v);for(auto e:v){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout< ostream& operator <<(ostream &o, const pair p) { o << "(" << p.first << ":" << p.second << ")"; return o; } mt19937 mt(8901016); inline int rand_int(int l, int h) { return uniform_int_distribution<>(l, h)(mt); } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiablechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiablechar(cc); cc = getchar_unlocked()); for (; isvisiablechar(cc); cc = getchar_unlocked()) var.push_back(cc); } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; } MaiScanner scanner; ll n, cap; pair items[5010]; // ll imos[5010]; ll best = 0; void dfs(int index=0, ll value=0, ll weight=0) { if (cap < weight) return; if (index == n) { best = max(best, value); return; } ll value_lp = value; ll w = cap - weight; int i_g; for (i_g = index; i_g < n && 0 <= w - items[i_g].second; ++i_g) { w -= items[i_g].second; value_lp += items[i_g].first; } if (i_g == n || w == 0) { best = max(best, value_lp); return; } // 効率降順なので,これで抑えられる double lp_opt = value_lp + items[i_g].first * ((w) / (double)items[i_g].second); if (lp_opt <= best) return; dfs(index + 1, value + items[index].first, weight + items[index].second); dfs(index + 1, value, weight); } void scan_testcase() { repeat(i, n) { ll v, w; scanner >> v >> w; items[i] = make_pair(v, w); } } void gen_testcase() { n = 100; cap = n * 30; repeat(i, n) { items[i] = make_pair(rand_int(1, 100), rand_int(1, 100)); } } int main() { scanner >> n >> cap; scan_testcase(); //gen_testcase(); sort(items, items + n, [](auto& l, auto& r) {return l.first*r.second > r.first * l.second; }); repeat(i, n) { imos[i + 1] = imos[i] + items[i].first; } dfs(); cout << best << endl; return 0; }