#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 void ndarray(vector& vec, const V& val, int len) { vec.assign(len, val); } template void ndarray(vector& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } 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; } int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } 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; } #if __cplusplus >= 201703L 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 << ')'; } #endif 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 // Preorder Euler Tour // (行きがけ順,部分木の頂点クエリ等に有用) struct PreorderEulerTour { int V; // # of vertices of tree int root; std::vector> edges; std::vector subtree_begin, subtree_end; std::vector vis_order; void _build_dfs(int now, int prv) { subtree_begin[now] = vis_order.size(); vis_order.push_back(now); for (auto nxt : edges[now]) if (nxt != prv) _build_dfs(nxt, now); subtree_end[now] = vis_order.size(); } PreorderEulerTour() = default; PreorderEulerTour(const std::vector> &to, int root) : V(to.size()), root(root), edges(to) { assert(root >= 0 and root < V); subtree_begin.resize(V); subtree_end.resize(V); _build_dfs(root, -1); } }; #include int op(int l, int r) { return l + r; } int e() { return 0; } int main() { int N, M; cin >> N >> M; vector> to(N + 1); vector vals; REP(i, N + 1) vals.push_back(i); vector val2cur(N + 1, -1); IREP(i, N) { to.at(0).push_back(i + 1); val2cur.at(i + 1) = i + 1; } vector A, B, K; vector> moves; REP(m, M) { int a, b, k; cin >> a >> b >> k; A.push_back(a); B.push_back(b); K.push_back(k); int curb = val2cur.at(b); int vnew = to.size(); to.push_back({}); to.at(curb).push_back(vnew); moves.emplace_back(val2cur.at(a), vnew, k); val2cur.at(a) = vnew; vals.push_back(a); } dbg(moves); for (auto &x : to) reverse(ALL(x)); dbg(to); dbg(val2cur); PreorderEulerTour et(to, 0); const int V = to.size(); assert(V == N + M + 1); atcoder::segtree tree(V); FOR(n, 1, N + 1) tree.set(et.subtree_begin.at(val2cur.at(n)), 1); for (auto [from, to, k] : moves) { const int k_ = k; // from = et.subtree_begin.at(from); // to = et.subtree_begin.at(to); const int nin = tree.prod(et.subtree_begin.at(to), et.subtree_end.at(to)); int retpos = -1; if (et.subtree_begin.at(from) < et.subtree_begin.at(to)) { const int nleft = tree.prod(0, et.subtree_begin.at(from)); if (nleft >= k) { retpos = tree.max_right(0, [&](int y) { return y < k_; }); } else if (nleft + nin >= k) { retpos = tree.max_right(et.subtree_begin.at(to), [&](int y) { return y + nleft < k_; }); } else if (tree.prod(0, et.subtree_end.at(to)) >= k) { retpos = tree.max_right(0, [&](int y) { return y + nin < k_; }); } else { retpos = tree.max_right(0, [&](int y) { return y < k_; }); } } else { const int nleft = tree.prod(0, et.subtree_begin.at(to)); const int nf = tree.prod(0, et.subtree_begin.at(from)); if (nleft >= k) { retpos = tree.max_right(0, [&](int y) { return y < k_; }); } else if (nf - nin >= k) { retpos = tree.max_right(0, [&](int y) { return y - nin < k_; }); } else if (nf >= k) { retpos = tree.max_right(et.subtree_begin.at(to), [&](int y) { return y + nf - nin < k_; }); } else { retpos = tree.max_right(0, [&](int y) { return y < k_; }); } } dbg(retpos); cout << vals.at(et.vis_order.at(retpos)) << '\n'; } dbg(vals); }