#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include #include #include enum class LisType { StrictlyIncreasing, Nondecreasing, }; // Calculate (only) length of longest increasing subsequence (LIS) // Complexity: O(n log n) template int lis_length(const std::vector &seq, LisType lis_type = LisType::StrictlyIncreasing) { std::vector dp; for (const T &x : seq) { if (auto itr = (lis_type == LisType::StrictlyIncreasing ? std::lower_bound(begin(dp), end(dp), x) : std::upper_bound(begin(dp), end(dp), x)); itr == end(dp)) { dp.push_back(x); } else { *itr = x; } } return dp.size(); } template struct longest_increasing_subsequence { LisType lis_type_ = LisType::StrictlyIncreasing; int current_idx = 0; struct Node { std::shared_ptr par; int len, idx; T v; }; std::vector dp; std::vector> ptrs; // Complexity: O(1) longest_increasing_subsequence(LisType lis_type) : lis_type_(lis_type) {} // Complexity: O(N log N) longest_increasing_subsequence(const std::vector &seq, LisType lis_type) : lis_type_(lis_type) { for (const T &x : seq) add(x); } // Complexity: O(log N) std::shared_ptr add(const T &x) { auto itr = (lis_type_ == LisType::StrictlyIncreasing ? std::lower_bound(begin(dp), end(dp), x) : std::upper_bound(begin(dp), end(dp), x)); int cur = std::distance(begin(dp), itr); std::shared_ptr prv = (begin(dp) == itr ? nullptr : ptrs.at(cur - 1)); std::shared_ptr node( new Node{prv, (prv == nullptr ? 0 : prv->len) + 1, current_idx++, x}); if (itr == end(dp)) { dp.push_back(x), ptrs.push_back(node); } else { dp.at(cur) = x, ptrs.at(cur) = node; } return node; } std::shared_ptr head() const { return ptrs.empty() ? nullptr : ptrs.back(); } // LIS をなす添字列を出力 // Complexity: O(N) std::vector get_lis_indices() const { std::vector ret; for (auto ptr = head(); ptr != nullptr; ptr = ptr->par) ret.push_back(ptr->idx); std::reverse(ret.begin(), ret.end()); return ret; } }; int main() { int N; cin >> N; string S; cin >> S; int lo = -1e7; int hi = 1; vector A; for (auto c : S) { if (c == '0') { A.push_back(0); } else if (c == '-') { A.push_back(lo++); } else if (c == '+') { A.push_back(hi++); } } dbg(A); cout << lis_length(A, LisType::StrictlyIncreasing) << '\n'; }