/* #region Head */ #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } void pprint() { cout << endl; } template void pprint(Head &&head, Tail &&... tail) { cout << head; if (sizeof...(Tail) > 0) cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&... tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ cin >> __VA_ARGS__; template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { cout << (p ? "YES" : "NO") << endl; } /* #endregion */ // #include // using namespace atcoder; /* #region SparseTable */ template struct SparseTable { using F = function; vc> dat; vc ht; const F f; SparseTable() {} SparseTable(F f) : f(f) {} void build(const vc &v) { ll n = SIZE(v), h = 1; while ((1 << h) <= n) h++; dat.assign(h, vc(n)); ht.assign(n + 1, 0); REPM(j, 2, n) ht[j] = ht[j >> 1] + 1; REP(j, 0, n) dat[0][j] = v[j]; for (int i = 1, p = 1; i < h; i++, p <<= 1) REP(j, 0, n) dat[i][j] = f(dat[i - 1][j], dat[i - 1][min(j + p, n - 1)]); }; // 半開区間 [a, b) に対するクエリを実行する T query(int a, int b) { int l = b - a; return f(dat[ht[l]][a], dat[ht[l]][b - (1 << ht[l])]); } }; /* #endregion */ // Problem void solve() { VAR(ll, w); vll a(w), b(w), c(w); REP(i, 0, w) cin >> a[i] >> b[i] >> c[i]; // イベント 0,1,2 を考える. // - イベント 0 の直後にイベント 0, 1 は起きない(0 の次は必ず 2). // - イベント 1 で所持金 +a[i] // - イベント 0 の直後のイベント 2 で所持金 -c[i], 好感度 +b[i] // - イベント 1, 2 の直後のイベント 2 では何も起きない // 基本的には,イベント [0,2] のペアが繰り返す間にイベント 1 を 0 個以上挟み込んでいくことになる. ll sz2 = w / 2, sz1 = w - sz2; vc set1_rem0, set1_rem1, set2_rem0, set2_rem1; // dump(sz1, sz2); auto dfs1 = [&](auto &&dfs1, int pos, ll point, ll money) -> void { if (pos == sz1) { set1_rem0.emplace_back(money, point); return; } if (pos == sz1 - 1) { // 1 週しか余っていないとき,この 1 週は使わないで別扱いするか,イベント 1 に使う set1_rem1.emplace_back(money, point); dfs1(dfs1, pos + 1, point, money + a[pos]); } else { // 2 週以上余っているとき,イベント [0,1] かイベント 1 を選択 dfs1(dfs1, pos + 2, point + b[pos + 1], money - c[pos + 1]); dfs1(dfs1, pos + 1, point, money + a[pos]); } }; dfs1(dfs1, 0, 0, 0); sort(ALL(set1_rem0)); sort(ALL(set1_rem1)); // dump(set1_rem0); // dump(set1_rem1); auto dfs2 = [&](auto &&dfs2, int pos, ll point, ll money, int offset) -> void { if (pos == w) { if (offset == sz1) set2_rem0.emplace_back(money, point); else set2_rem1.emplace_back(money, point); return; } if (pos == w - 1) { // 1 週しか余っていないとき,イベント 1 に使う dfs2(dfs2, pos + 1, point, money + a[pos], offset); } else { // 2 週以上余っているとき,イベント [0,1] かイベント 1 を選択 dfs2(dfs2, pos + 2, point + b[pos + 1], money - c[pos + 1], offset); dfs2(dfs2, pos + 1, point, money + a[pos], offset); } }; dfs2(dfs2, sz1, 0, 0, sz1); dfs2(dfs2, sz1 - 1, 0, 0, sz1 - 1); sort(ALL(set2_rem0)); sort(ALL(set2_rem1)); // dump(set2_rem0); // dump(set2_rem1); auto f = [](pll a, pll b) -> pll { if (a.second > b.second) return a; else return b; }; SparseTable tbl2_0(f), tbl2_1(f); tbl2_0.build(set2_rem0); tbl2_1.build(set2_rem1); ll ma = 0; // set1_rem0 for (auto [money, point] : set1_rem0) { // set2_rem0 から探す pll needle = {-money, -INF}; auto it = lower_bound(ALL(set2_rem0), needle); if (it != set2_rem0.end()) { int idx = it - set2_rem0.begin(); // pll r = tbl2_0.query(idx, SIZE(set2_rem0)); chmax(ma, point + r.second); } } // set1_rem1 for (auto [money, point] : set1_rem1) { // set2_rem0 から探す pll needle = {-money, -INF}; auto it = lower_bound(ALL(set2_rem1), needle); if (it != set2_rem1.end()) { int idx = it - set2_rem1.begin(); // pll r = tbl2_1.query(idx, SIZE(set2_rem1)); chmax(ma, point + r.second); } } pprint(ma); } // entry point int main() { solve(); return 0; }