//#define NDEBUG #include #include #include #include #include #include namespace n91 { using i8 = std::int_fast8_t; using i32 = std::int_fast32_t; using i64 = std::int_fast64_t; using u8 = std::uint_fast8_t; using u32 = std::uint_fast32_t; using u64 = std::uint_fast64_t; using isize = std::ptrdiff_t; using usize = std::size_t; struct rep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr rep(const usize f, const usize l) noexcept : f(std::min(f, l)), l(l) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; struct revrep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr revrep(const usize f, const usize l) noexcept : f(l - 1), l(std::min(f, l) - 1) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; template auto md_vec(const usize n, const T &value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T &a, const T &b) noexcept { if (a < b) { return b - a; } else { return a - b; } } template void chmin(T &a, const T &b) noexcept { if (b < a) { a = b; } } template void chmax(T &a, const T &b) noexcept { if (a < b) { a = b; } } template class fix_point : private F { public: explicit constexpr fix_point(F &&f) : F(std::forward(f)) {} template constexpr decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, std::forward(args)...); } }; template constexpr decltype(auto) make_fix(F &&f) { return fix_point(std::forward(f)); } template T scan() { T ret; std::cin >> ret; return ret; } } // namespace n91 #include #include #include #include #include namespace n91 { void main_() { /* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ const usize n = scan(); if (n == 1) { std::cout << 0 << std::endl; return; } struct day_t { i64 a; u64 b; i64 c; }; std::vector ds(n); for (auto &e : ds) { std::cin >> e.a >> e.b >> e.c; } const usize h = n / 2; struct node { i64 co; u64 pt; bool operator<(const node &r) const { return std::tie(co, pt) < std::tie(r.co, r.pt); } }; std::vector ff, fd; ff.push_back({0, 0}); for (const usize i : rep(0, h)) { const auto &d = ds[i]; std::vector nff, nfd; for (const auto &e : ff) { nff.push_back({e.co + d.a, e.pt}); nfd.push_back({e.co, e.pt}); } for (const auto &e : fd) { nff.push_back({e.co - d.c, e.pt + d.b}); } ff = std::move(nff); fd = std::move(nfd); } std::vector bf, bd; bf.push_back({0, 0}); for (const usize i : revrep(h, n)) { const auto &d = ds[i]; std::vector nbf, nbd; for (const auto &e : bf) { nbf.push_back({e.co + d.a, e.pt}); nbd.push_back({e.co - d.c, e.pt + d.b}); } for (const auto &e : bd) { nbf.push_back({e.co, e.pt}); } bf = std::move(nbf); bd = std::move(nbd); } std::sort(ff.begin(), ff.end()); std::sort(fd.begin(), fd.end()); std::sort(bf.begin(), bf.end()); std::sort(bd.begin(), bd.end()); u64 ans = 0; { u64 pm = 0; auto itr = bf.crbegin(); for (const auto &e : ff) { while (itr != bf.crend() && itr->co + e.co >= 0) { chmax(pm, itr->pt); itr += 1; } if (itr != bf.crbegin()) chmax(ans, pm + e.pt); } } { u64 pm = 0; auto itr = bd.crbegin(); for (const auto &e : fd) { while (itr != bd.crend() && itr->co + e.co >= 0) { chmax(pm, itr->pt); itr += 1; } if (itr != bd.crbegin()) chmax(ans, pm + e.pt); } } std::cout << ans << std::endl; } } // namespace n91 int main() { n91::main_(); return 0; }