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MACRO_OUT(__VA_ARGS__); #define FOUT(n, dist) scan_out<=(a);--w) #define RREP(w, n) RFOR(w, 0, n) template bool IN(S a, T x, U b) { return a <= x && x < b; } template inline bool CHMAX(T& a, const T b) { if (a < b) { a = b; return true; } return false; } template inline bool CHMIN(T& a, const T b) { if (a > b) { a = b; return true; } return false; } // test template using V = std::vector; template using VV = V>; // //std::ostream& operator<<(std::ostream& os, const __int128& t) { // if (t >= 1000000000000000000) { // os << (long long)(t / 1000000000000000000) << (long long)(t % 1000000000000000000); // } // else { // os << (long long)t; // } // return os; //} template std::ostream& operator<<(std::ostream& os, const std::pair& p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template std::ostream& operator<<(std::ostream& os, const std::vector& v) { os << '{'; for (size_t i = 0; i < v.size(); ++i) os << v[i] << ((i + 1 < v.size()) ? ',' : '}'); return os; } template std::ostream& operator<<(std::ostream& os, const std::set& v) { os << '{'; for (auto it = v.cbegin(); it != v.cend();) { os << *it << (++it == v.cend() ? '}' : ','); } return os; } template std::ostream& operator<<(std::ostream& os, const std::map& m) { os << '{'; for (auto it = m.cbegin(); it != m.cend();) { os << it->first << ':' << it->second; ++it; os << (it != m.cend() ? ',' : '}'); } return os; } template std::ostream& operator<<(std::ostream& os, std::queue q) { os << '<'; while (!q.empty()) { os << q.front(); q.pop(); os << (q.empty() ? '<' : ','); } return os; } template std::ostream& operator<<(std::ostream& os, std::stack q) { os << '>'; while (!q.empty()) { os << q.top(); q.pop(); os << (q.empty() ? ']' : ','); } return os; } namespace std { template class numeric_limits> { public: static constexpr pair max() noexcept { return { numeric_limits::max(), numeric_limits::max() }; } static constexpr pair lowest() noexcept { return { numeric_limits::lowest(), numeric_limits::lowest() }; } }; } // type/const using i64 = long long; using u64 = unsigned long long; using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; constexpr int INFINT = (1 << 30) - 1; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr long long INFLL = 1LL << 60; // 1.15x10^18 constexpr long long INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-12; constexpr int MOD = 998244353; constexpr double PI = 3.141592653589793238462643383279; template void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; } template void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); } template void FILL(std::vector& a, const T& val) { for (auto& x : a) x = val; } template void FILL(std::vector>& a, const T& val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------>8------------ // ------------>8------------ SegmentTree ------------>8------------ namespace Monoid { template class sum { public: using value_type = T; inline static T operation(const T& a, const T& b) { return a + b; } inline static T identity() { return T(0); } }; template class max { public: using value_type = T; inline static T operation(const T& a, const T& b) { return (a < b) ? b : a; } inline static T identity() { return std::numeric_limits::lowest(); } }; template class min { public: using value_type = T; inline static T operation(const T& a, const T& b) { return (a < b) ? a : b; } inline static T identity() { return std::numeric_limits::max(); } }; class MONOID { public: struct S { int x; }; using value_type = S; inline static S operation(const S& l, const S& r) { return S{ l.x + r.x }; } inline static S identity() { return S{ 0 }; } }; } template class SegmentTree { private: using T = typename Monoid::value_type; int ARY_SIZE; std::vector ary; void init(int n) { while (ARY_SIZE < n) ARY_SIZE <<= 1; ary.resize(ARY_SIZE << 1, Monoid::identity()); } public: SegmentTree(int n) : ARY_SIZE(1) { init(n); } SegmentTree(std::vector& a) : ARY_SIZE(1) { init(a.size()); std::copy(a.begin(), a.end(), ary.begin() + ARY_SIZE); for (int i = ARY_SIZE - 1; i >= 1; --i) { ary[i] = Monoid::operation(ary[i << 1], ary[(i << 1) + 1]); } } // -- a[i] = val; inline void update(int i, T val) { i += ARY_SIZE; ary[i] = val; while (i > 1) { i >>= 1; ary[i] = Monoid::operation(ary[i << 1], ary[(i << 1) + 1]); } } // -- a[i] += val; inline void add(int i, T val) { update(i, ary[i + ARY_SIZE] + val); } // -- [l, r) inline T query(int l, int r) { if (l >= r) return Monoid::identity(); T vl = Monoid::identity(), vr = Monoid::identity(); for (l += ARY_SIZE, r += ARY_SIZE; l != r; l >>= 1, r >>= 1) { if (l & 1) vl = Monoid::operation(vl, ary[l++]); if (r & 1) vr = Monoid::operation(ary[--r], vr); } return Monoid::operation(vl, vr); } T operator[](int i) { return ary[i + ARY_SIZE]; } void debugShow() { for (int i = ARY_SIZE; i < ARY_SIZE << 1; ++i) std::cerr << ary[i] << " "; std::cerr << "\n"; } }; // ------------8<------------ SegmentTree ------------8<------------ // Description: 区間をsetで管理するデータ構造(なお実装はmap).各クエリO(log区間数). // #### attention! : [l, r] ( include r, not [l, r) ) class SegmentMap : public std::map { private: bool flagToMergeAdjacentSegment; public: // if merge [l, c] and [c+1, r], set flagToMergeAdjacentSegment to true SegmentMap(bool flagToMergeAdjacentSegment) : flagToMergeAdjacentSegment(flagToMergeAdjacentSegment) {} // __exist -> iterator pair(l, r) (contain p) // noexist -> map.end() auto get(signed p) const { auto it = upper_bound(p); if (it == begin() || (--it)->second < p) return end(); return it; } // insert segment [l, r] void insert(signed l, signed r) { auto itl = upper_bound(l), itr = upper_bound(r + flagToMergeAdjacentSegment); if (itl != begin()) { if ((--itl)->second < l - flagToMergeAdjacentSegment) ++itl; } if (itl != itr) { l = std::min(l, itl->first); r = std::max(r, std::prev(itr)->second); erase(itl, itr); } (*this)[l] = r; } // remove segment [l, r] void remove(signed l, signed r) { auto itl = upper_bound(l), itr = upper_bound(r); if (itl != begin()) { if ((--itl)->second < l) ++itl; } if (itl == itr) return; int tl = std::min(l, itl->first), tr = std::max(r, std::prev(itr)->second); erase(itl, itr); if (tl < l) (*this)[tl] = l - 1; if (r < tr) (*this)[r + 1] = tr; } // Is p and q in same segment? bool same(signed p, signed q) const { const auto&& it = get(p); return it != end() && it->first <= q && q <= it->second; } }; signed main() { INIT; VAR(int, n, q); VEC_ROW(int, q, l, r, b); SegmentMap sm(true); SegmentTree> st(n); REP(i, n) st.update(i, 1000000000); { VV d(q); REP(i, q) d[i] = { --l[i], --r[i], b[i], i }; std::sort(ALL(d), [&](V& tl, V& tr) { if (tl[2] == tr[2]) return tl[3] < tr[3]; return tl[2] > tr[2]; }); REP(i, q) { l[i] = d[i][0]; r[i] = d[i][1]; b[i] = d[i][2]; } } REP(i, q) { if (st.query(l[i], r[i] + 1) == b[i]) continue; auto it = sm.get(l[i]); if (it == sm.end()) { st.update(l[i], b[i]); } else { if (it->second < r[i]) { st.update(it->second + 1, b[i]); } } sm.insert(l[i], r[i]); } REP(i, q) { if (st.query(l[i], r[i] + 1) != b[i]) { EOUT(-1); } } REP(i, n) { OUT(st.query(i, i + 1))SPBR(i, n); } return 0; }