// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i, n) for (int i = (int)(n); i >= 1; i--) #define loop(i, a, B) for (int i = a; i B; i++) #define loopR(i, a, B) for (int i = a; i B; i--) #define all(x) begin(x), end(x) #define allR(x) rbegin(x), rend(x) #define rng(x, l, r) begin(x) + (l), begin(x) + (r) #define pb push_back #define eb emplace_back #define fst first #define snd second template constexpr auto mp(A &&a, B &&b) { return make_pair(forward(a), forward(b)); } template constexpr auto mt(T&&... x) { return make_tuple(forward(x)...); } template auto constexpr inf_ = numeric_limits::max()/2-1; auto constexpr INF32 = inf_; auto constexpr INF64 = inf_; auto constexpr INF = inf_; #ifdef LOCAL #include "debug.hpp" #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template struct pque : priority_queue, Comp> { vector &data() { return this->c; } void clear() { this->c.clear(); } }; template using pque_max = pque>; template using pque_min = pque>; template ::value, int> = 0> ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ::value, int> = 0> ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ())), class = typename enable_if::value>::type> istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; } template ostream& operator<<(ostream& os, pair const& p) { return os << p.first << " " << p.second; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); } template int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); } constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; } constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); } constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); } constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } mt19937_64 seed_{random_device{}()}; template Int rand(Int a, Int b) { return uniform_int_distribution(a, b)(seed_); } i64 irand(i64 a, i64 b) { return rand(a, b); } // [a, b] u64 urand(u64 a, u64 b) { return rand(a, b); } // template void shuffle(It l, It r) { shuffle(l, r, seed_); } template vector &operator--(vector &v) { for (T &x : v) --x; return v; } template vector &operator++(vector &v) { for (T &x : v) ++x; return v; } // <<< template auto constexpr inf = numeric_limits::max()/2-1; // >>> segment tree beats template , T min_id = inf> struct SegtreeBeats { struct Data { T sum = 0, add = 0, max1 = 0, min1 = 0, max2 = max_id, min2 = min_id; int32_t maxc = 1, minc = 1; }; vector v; int32_t n = 0, cap = 1; SegtreeBeats() {} template SegtreeBeats(U&&... x) { init(forward(x)...); } template ()(0))> void init(int n, F gen) { cap = 1; while (cap < n) cap <<= 1; assert(n >= 0); this->n = n; v.assign(2*cap, {}); for (int i = 0; i < n; i++) { v[cap+i].sum = v[cap+i].max1 = v[cap+i].min1 = gen(i); } for (int k = cap-1; k >= 1; k--) merge(k); } void init(int n, T x = 0) { init(n, [&](int) { return x; }); } void init(vector const& v) { init(v.size(), [&](int i) { return v[i]; }); } int size() const { return n; } T operator[](int i) { return sum(i, i+1); } void set(int i, T x) { assert(0 <= i); assert(i < n); i += cap; for (int p = __lg(cap); p; --p) push(i >> p); v[i].sum = v[i].max1 = v[i].min1 = x; while (i >>= 1) merge(i); } void chmin(int l, int r, T x) { assert(0 <= l); assert(l <= r); assert(r <= n); chmin(l, r, x, 1, 0, cap); } void chmax(int l, int r, T x) { assert(0 <= l); assert(l <= r); assert(r <= n); chmax(l, r, x, 1, 0, cap); } void add(int l, int r, T x) { assert(0 <= l); assert(l <= r); assert(r <= n); query(l, r, [&](int k) { node_add(k, x); }); for (l += cap, l >>= __builtin_ctzll(l); l >>= 1; ) merge(l); for (r += cap, r >>= __builtin_ctzll(r); r >>= 1; ) merge(r); } T sum(int l, int r) { assert(0 <= l); assert(l <= r); assert(r <= n); T x = 0; query(l, r, [&](int k) { x += v[k].sum; }); return x; } T max(int l, int r) { assert(0 <= l); assert(l <= r); assert(r <= n); T x = max_id; query(l, r, [&](int k) { setmax(x, v[k].max1); }); return x; } T min(int l, int r) { assert(0 <= l); assert(l <= r); assert(r <= n); T x = min_id; query(l, r, [&](int k) { setmin(x, v[k].min1); }); return x; } vector dat() { vector ret(size()); for (int i = 0; i < size(); i++) ret[i] = operator[](i); return ret; } static void setmin(T &x, T y) { x = std::min(x, y); } static void setmax(T &x, T y) { x = std::max(x, y); } void merge(int k) { if (k >= cap) return; const int L = k << 1, R = L | 1; v[k].sum = v[L].sum + v[R].sum; T d; d = v[L].min1 - v[R].min1; v[k].min1 = std::min(v[L].min1, v[R].min1); v[k].minc = (d <= 0 ? v[L].minc : 0) + (d >= 0 ? v[R].minc : 0); v[k].min2 = std::min(v[L].min2, v[R].min2); if (d != 0) setmin(v[k].min2, std::max(v[L].min1, v[R].min1)); d = v[L].max1 - v[R].max1; v[k].max1 = std::max(v[L].max1, v[R].max1); v[k].maxc = (d >= 0 ? v[L].maxc : 0) + (d <= 0 ? v[R].maxc : 0); v[k].max2 = std::max(v[L].max2, v[R].max2); if (d != 0) setmax(v[k].max2, std::min(v[L].max1, v[R].max1)); } void node_chmin(int k, T x) { // v[k].max2 < x < v[k].max1 v[k].sum += (x-v[k].max1)*v[k].maxc; v[k].max1 = x; setmin(v[k].min1 > x ? v[k].min1 : v[k].min2, x); } void node_chmax(int k, T x) { // v[k].min2 > x > v[k].min1 v[k].sum += (x-v[k].min1)*v[k].minc; v[k].min1 = x; setmax(v[k].max1 < x ? v[k].max1 : v[k].max2, x); } void node_add(int k, T x) { v[k].sum += x*(cap >> __lg(k)); v[k].add += x; v[k].max1 += x; v[k].max2 += x; v[k].min1 += x; v[k].min2 += x; } void push(int k) { // k < cap const int L = k << 1, R = L | 1; if (v[k].add) { node_add(L, v[k].add); node_add(R, v[k].add); v[k].add = 0; } if (v[k].max1 < v[L].max1) node_chmin(L, v[k].max1); if (v[k].max1 < v[R].max1) node_chmin(R, v[k].max1); if (v[k].min1 > v[L].min1) node_chmax(L, v[k].min1); if (v[k].min1 > v[R].min1) node_chmax(R, v[k].min1); } void chmin(int a, int b, T x, int k, int l, int r) { if (r <= a || b <= l || v[k].max1 <= x) return; if (a <= l && r <= b && v[k].max2 < x) { node_chmin(k, x); } else { push(k); chmin(a, b, x, k << 1, l, (l+r)/2); chmin(a, b, x, k << 1 | 1, (l+r)/2, r); merge(k); } } void chmax(int a, int b, T x, int k, int l, int r) { if (r <= a || b <= l || v[k].min1 >= x) return; if (a <= l && r <= b && v[k].min2 > x) { node_chmax(k, x); } else { push(k); chmax(a, b, x, k << 1, l, (l+r)/2); chmax(a, b, x, k << 1 | 1, (l+r)/2, r); merge(k); } } template void query(int l, int r, F f) { l += cap, r += cap; for (int p = __lg(cap); p; --p) push(l >> p), push((r-1) >> p); for ( ; l < r; l >>= 1, r >>= 1) { if (l&1) f(l++); if (r&1) f(--r); } } }; // <<< int32_t main() { int n, q; cin >> n >> q; vector l(q), r(q), b(q); rep (i, q) cin >> l[i] >> r[i] >> b[i], --l[i]; SegtreeBeats seg(n, 1); rep (i, q) seg.chmax(l[i], r[i], b[i]); rep (i, q) if (seg.min(l[i], r[i]) != b[i]) quit(-1); cout << seg.dat() << '\n'; }