/* #region Head */ // #include #include #include #include #include // assert.h #include // math.h #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i)) #define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i)) #define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i)) #define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d)) #define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d)) #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define ISIZE(x) ((int)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, const vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, const vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, array &arr) { // array 入力 REP(i, 0, SIZE(arr)) is >> arr[i]; return is; } template ostream &operator<<(ostream &os, const array &arr) { // array 出力 (for dump) os << "{"; REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, const pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, const T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, const map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, const um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, const set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // tuple 出力 template ostream &operator<<(ostream &os, tuple &a) { if constexpr (N < std::tuple_size_v>) { os << get(a); if constexpr (N + 1 < std::tuple_size_v>) { os << ' '; } else if constexpr (end_line) { os << '\n'; } return operator<< (os, a); } return os; } template void print_tuple(tuple &a) { operator<< <0, true>(std::cout, a); } void pprint() { std::cout << endl; } template void pprint(Head &&head, Tail &&...tail) { std::cout << head; if (sizeof...(Tail) > 0) std::cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&...tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifndef MYLOCAL #undef DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ assert((std::cin >> __VA_ARGS__)); template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), std::cin.tie(nullptr), std::cout.tie(nullptr); std::cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) std::cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { std::cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { std::cout << (p ? "YES" : "NO") << endl; } template constexpr void operator--(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]--; } template constexpr void operator++(vc &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]++; } /* #endregion */ // #include // using namespace atcoder; /* #region mint2 */ // 自動で mod を取る整数 (mod を動的に決める版) struct mint { ll mod; ll x; mint(ll mod, ll x) : mod(mod), x((x % mod + mod) % mod) {} // mint(const mint &another) : mod(another.mod), x(another.x) {} mint() : mod(0), x(0) {} mint &operator+=(const mint a) { assert(a.mod == mod); if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator+=(const ll a) { if ((x += a % mod) >= mod) x -= mod; return *this; } mint &operator-=(const mint a) { assert(a.mod == mod); if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator-=(const ll a) { if ((x += mod - (a % mod)) >= mod) x -= mod; return *this; } mint &operator*=(const mint a) { assert(a.mod == mod); (x *= a.x) %= mod; return *this; } mint &operator*=(const ll a) { // (x *= a % mod) %= mod; *this *= mint(mod, a); return *this; } mint operator+(const mint a) const { mint res(*this); return res += a; } mint operator+(const ll a) const { mint res(*this); return res += a; } mint operator-(const mint a) const { mint res(*this); return res -= a; } mint operator-(const ll a) const { mint res(*this); return res -= a; } mint operator*(const mint a) const { mint res(*this); return res *= a; } mint operator*(const ll a) const { mint res(*this); return res *= a; } // O(log(t)) mint pow(ll t) const { if (!t) return mint(mod, 1); mint a = pow(t >> 1); // ⌊t/2⌋ 乗 a *= a; // ⌊t/2⌋*2 乗 if (t & 1) // ⌊t/2⌋*2 == t-1 のとき a *= *this; // ⌊t/2⌋*2+1 乗 => t 乗 return a; } // for prime mod mint inv_prime() const { return pow(mod - 2); // オイラーの定理から, x^(-1) ≡ x^(p-2) } mint inv() const { ll a = this->x, b = mod, u = 1, v = 0, t; // mint res; while (b) { t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if (u < 0) u += mod; mint res(mod, u); return res; } mint &operator/=(const mint a) { return (*this) *= a.inv(); } mint &operator/=(const ll a) { return (*this) *= mint(mod, a).inv(); } mint operator/(const mint a) const { mint res(*this); return res /= a; } mint operator/(const ll a) const { mint res(*this); return res /= a; } bool operator==(const mint a) const { return this->x == a.x; } bool operator==(const ll a) const { return this->x == a % mod; } // mint 入力 friend istream &operator>>(istream &is, mint &x) { is >> x.x; return is; } // mint 出力 friend ostream &operator<<(ostream &os, mint x) { os << x.x; return os; } }; /* #endregion */ /* #region BIT */ template struct BinaryIndexedTree { int n; vector data; BinaryIndexedTree(int sz) : n(sz + 1), data(n, 0) {} // 初期化する void init() { fill(ALL(data), T(0)); } T sum(int k) const { T ret = 0; for (++k; k > 0; k -= k & -k) ret += data[k]; return (ret); } void add(int k, const T &x) { for (++k; k < n; k += k & -k) data[k] += x; } // query for 0-indexed range [l, r) // subtraction is required T query(const int l, const int r) const { return sum(r - 1) - sum(l - 1); } // a_1 + a_2 + ... + a_x >= w となるような最小の x を求める(ただし a_i >= 0) // 0-indexed 区間 [l, r] の和が w 以上となる最小の r を求める(ただし単調性がある場合のみ動作) // 全体の和が w 未満のときは n が返される int lower_bound(T w) const { if (w <= 0) { return 0; } else { int x = 0, r = 1; while (r < n) r <<= 1; for (int len = r; len > 0; len = len >> 1) { // 長さlenは1段下るごとに半分に if (x + len < n && data[x + len] < w) { // 採用するとき w -= data[x + len]; x += len; } } return x; } } void _dump() const { TREP(int, i, 0, n - 1) cerr << query(i, i + 1) << (i == n - 2 ? '\n' : ' '); } }; /* #endregion */ /* #region RangeAddBIT */ template struct RangeAddBinaryIndexedTree { BinaryIndexedTree p, q; RangeAddBinaryIndexedTree(const int n) : p(n + 1), q(n + 1) {} // 初期化する void init() { p.init(); q.init(); } // 0-indexed [l, r) に w を加算する void add_range(const int l, const int r, const T w) { p.add(l, -w * l); p.add(r, w * r); q.add(l, w); q.add(r, -w); } // 0-indexed [0, r) の和を求める T get_range(const int r) const { return p.sum(r) + q.sum(r) * r; } // 0-indexed [l, r) の和を求める T query(const int l, const int r) const { if (l >= r) return T(0); return get_range(r) - get_range(l); } T get(const int i) const { return get_range(i + 1) - get_range(i); } }; /* #endregion */ // Problem void solve() { VAR(ll, n, b, q); vll l(q), m(q), r(q); REP(i, 0, q) cin >> l[i], m[i], r[i]; l--, m--; // 最大 q 回なので事前に求めておく mint e(b, 1); vc> ans(q + 1, vc(3, e)); REP(i, 0, q) { ans[i + 1][0] = ans[i][0] + 1; ans[i + 1][1] = ans[i][1] * 3 + ans[i + 1][0] * ans[i][2] * 2; ans[i + 1][2] = ans[i][2] * 3; } RangeAddBinaryIndexedTree<> bit(n); REP(qi, 0, q) { // 加算 bit.add_range(l[qi], r[qi], 1); // 合計回数をクエリ ll cnt = bit.get(m[qi]); cout >> (ans[cnt]); } } // entry point int main() { solve(); return 0; }