// includes #include using namespace std; // macros #define pb emplace_back #define mk make_pair #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define bit(n) (1LL<<(n)) // functions template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << p.first << " " << p.second; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} // types using ll = long long int; using P = pair; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const ll mod = (ll)(1e18) + 9; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; // io struct fast_io{ fast_io(){ios_base::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20);} } fast_io_; template struct LazySegmentTree_ { function f; // aggregation function h; // update lazy element function p; // update element with lazy element int n; T def; E l_def; vector vec; vector lazy; LazySegmentTree_(){} LazySegmentTree_(int n_, function f, T def, function h, E l_def, function p, vector v=vector()): f(f), def(def), h(h), l_def(l_def), p(p){ // initialize vector n = 1; while(n < n_){ n *= 2; } vec = vector(2*n-1, def); lazy = vector(2*n-1, l_def); // initialize segment tree for(int i = 0; i < v.size(); i++){ vec[i + n - 1] = v[i]; } for(int i = n - 2; i >= 0; i--){ vec[i] = f(vec[2*i+1], vec[2*i+2]); } } void eval(int k, int len){ if(lazy[k] != l_def){ if(k < n - 1){ lazy[2*k+1] = h(lazy[2*k+1], lazy[k]); lazy[2*k+2] = h(lazy[2*k+2], lazy[k]); } vec[k] = p(vec[k], lazy[k], len); lazy[k] = l_def; } } T update(int a, int b, const E &val, int k, int l, int r){ eval(k, r - l); if(r <= a || b <= l){ return vec[k]; }else if(a <= l && r <= b){ lazy[k] = h(lazy[k], val); eval(k, r - l); return vec[k]; }else{ return vec[k] = f(update(a, b, val, 2*k+1, l, (l+r)/2), update(a, b, val, 2*k+2, (l+r)/2, r)); } } T update(int a, int b, E val){ return update(a, b, val, 0, 0, n); } // [l, r) -> [a, b) (at k) T query(int a, int b, int k, int l, int r){ eval(k, r - l); if(r <= a || b <= l)return def; if(a <= l && r <= b)return vec[k]; T ld = query(a, b, 2*k+1, l, (l+r)/2); T rd = query(a, b, 2*k+2, (l+r)/2, r); return f(ld, rd); } T query(int a, int b){ return query(a, b, 0, 0, n); } }; template using LazySegmentTree = struct LazySegmentTree_; using LazySegmentTreeI = LazySegmentTree; using LazySegmentTreeL = LazySegmentTree; int main(int argc, char const* argv[]) { ll n; cin >> n; int q; cin >> q; vector x(q); vector l(q), r(q); rep(i, q)cin >> x[i] >> l[i] >> r[i]; vector X; X.pb(0); X.pb(n); rep(i, q){ X.pb(l[i]); X.pb(r[i] + 1); } sort(all(X)); UNIQUE(X); map mp; rep(i, sz(X))mp[X[i]] = i; vector, pair>> seg(5); vector> ini(sz(X)); rep(j, sz(X)){ ini[j] = mk(0, (j + 1 == sz(X) ? n + 1: X[j+1]) - X[j]); } rep(i, 5){ seg[i] = LazySegmentTree, pair>( sz(X), [](pair a, pair b){ return mk((a.first + b.first) % mod, (a.second + b.second) % mod); }, mk(0, 0), [](pair a, pair b){ if(a.first == -linf)return b; if(b.second == 1){ return b; } if(a.second == -1 && b.second == -1){ return mk((a.first + b.first) % mod, -1); } return mk((a.first + b.first) % mod, 1); }, mk(-linf, -linf), [](pair a, pair b, int c){ if(b.second == -1){ return mk((a.first + a.second * (b.first % mod) % mod) % mod, a.second); } return mk(a.second * (b.first % mod) % mod, a.second); }, ini ); } vector res(5, 0); rep(i, q){ if(x[i] == 0){ int L = mp[l[i]]; int R = mp[r[i] + 1]; ll maxi = -1; vector can; rep(j, 5){ ll tmp = seg[j].query(L, R).first; if(tmp > maxi){ maxi = tmp; can.clear(); can.pb(j); }else if(tmp == maxi){ can.pb(j); } } if(sz(can) == 1){ (res[can[0]] += maxi) %= mod; } }else{ x[i]--; int L = mp[l[i]]; int R = mp[r[i] + 1]; rep(j, 5){ if(x[i] != j){ seg[j].update(L, R, mk(0, 1)); }else{ seg[j].update(L, R, mk(1, -1)); } } } /*rep(k, 5){ rep(j, sz(X)){ cerr << seg[k].query(j, j + 1).first << "\n "[j + 1 != sz(X)]; } } cerr << res << endl; cerr << endl;*/ } rep(i, 5){ (res[i] += seg[i].query(0, sz(X)).first) %= mod; } cout << res << endl; return 0; }