#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include using namespace std; using namespace atcoder; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } namespace prime{ template bool isPrime(T n){ switch(n) { case 0: // fall-through case 1: return false; case 2: return true; } if(n % 2 == 0) return false; for(T i = 3; i*i <= n; i += 2){ if(n % i == 0){ return false; } } return true; } template vector> factorize(T n) { vector> ret; for (T i = 2; i * i <= n; i++) { if (n % i != 0) continue; T tmp = 0; while (n % i == 0) { tmp++; n /= i; } ret.push_back(make_pair(i, tmp)); } if (n != 1) ret.push_back(make_pair(n, 1)); return ret; } template vector divisor(T n){ T rt = sqrt(n); vector res, resB; for(T i = 1; i * i <= n; i++){ if(n % i == 0){ res.push_back(i); T j = n / i; if(j != rt){ resB.push_back(j); } } } for(int i = (int) resB.size() - 1; i >= 0; i--){ res.push_back(resB[i]); } return res; } template vector sieve(T n){ vector c(n+1); for(int i = 2; i <= n; i++){ if(c[i] != 0) continue; for(int j = i; j <= n; j += i){ c[j] += 1; } } return c; } } namespace modcalc{ template T modpow(T x, T n, const T &m){ T ret = 1 % m; x %= m; while(n > 0){ if(n & 1) (ret *= x) %= m; (x *= x) %= m; n >>= 1; } return ret; } template T modinv(T a, T m){ T b = m, u = 1, v = 0; while(b){ T t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= m; if (u < 0) u += m; return u; } template T modarithmeticsum(T a, T d, T n, T m){ T m2 = m * 2; a %= m2, n %= m2, d %= m2; T b = (n - 1) * d % m2; return ((n * (a * 2 + b) % m2) / 2) % m; } template T modgeometricsum(T a, T r, T n, T m){ a %= m; if(r == 1){ n %= m; return a * n % m; } return a * (modpow(r, n, m) + m - 1) % m * modinv(r - 1, m) % m; } template T modgeometricsum2(T a, T r, T n, T m){ a %= m; if(r == 1){ n %= m; return a * n % m; } T ret = 0; T x = 1 % m; T sum = 0; for(int i = 0; n > 0; ++i){ if(n & 1){ (ret += x * modpow(r, sum, m) % m) %= m; sum |= 1LL << i; } (x += x * modpow(r, 1LL << i, m) % m) %= m; n >>= 1; } return a * ret % m; } } template struct ModInt{ long long val; constexpr ModInt(const long long &_val = 0) noexcept : val(_val) { normalize(); } void normalize(){ val = (val % Modulus + Modulus) % Modulus; } inline ModInt& operator+=(const ModInt& rhs) noexcept { if(val += rhs.val, val >= Modulus) val -= Modulus; return *this; } inline ModInt& operator-=(const ModInt& rhs) noexcept { if(val -= rhs.val, val < 0) val += Modulus; return *this; } inline ModInt& operator*=(const ModInt& rhs) noexcept { val = val * rhs.val % Modulus; return *this; } inline ModInt& operator/=(const ModInt& rhs) noexcept { val = val * inv(rhs.val).val % Modulus; return *this; } inline ModInt& operator++() noexcept { if(++val >= Modulus) val -= Modulus; return *this; } inline ModInt operator++(int) noexcept { ModInt t = val; if(++val >= Modulus) val -= Modulus; return t; } inline ModInt& operator--() noexcept { if(--val < 0) val += Modulus; return *this; } inline ModInt operator--(int) noexcept { ModInt t = val; if(--val < 0) val += Modulus; return t; } inline ModInt operator-() const noexcept { return (Modulus - val) % Modulus; } inline ModInt inv(void) const { return inv(val); } ModInt inv(const long long& n) const { long long a = n, b = Modulus, u = 1, v = 0; while(b){ long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= Modulus; if(u < 0) u += Modulus; return u; } friend inline ModInt operator+(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) += rhs; } friend inline ModInt operator-(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) -= rhs; } friend inline ModInt operator*(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) *= rhs; } friend inline ModInt operator/(const ModInt& lhs, const ModInt& rhs) noexcept { return ModInt(lhs) /= rhs; } friend inline bool operator==(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.val == rhs.val; } friend inline bool operator!=(const ModInt& lhs, const ModInt& rhs) noexcept { return lhs.val != rhs.val; } friend inline istream& operator>>(istream& is, ModInt& x) noexcept { is >> x.val; x.normalize(); return is; } friend inline ostream& operator<<(ostream& os, const ModInt& x) noexcept { return os << x.val; } }; template struct compress{ vector sorted, compressed; compress(const vector& vec){ int n = vec.size(); compressed.resize(n); for(T x : vec){ sorted.emplace_back(x); } sort(sorted.begin(), sorted.end()); sorted.erase(unique(sorted.begin(), sorted.end()), sorted.end()); for(int i = 0; i < n; ++i){ compressed[i] = lower_bound(sorted.begin(), sorted.end(), vec[i]) - sorted.begin(); } } int get(const T& x) const{ return lower_bound(sorted.begin(), sorted.end(), x) - sorted.begin(); } T inv(const T& x) const{ return sorted[x]; } size_t size() const{ return sorted.size(); } vector getCompressed() const{ return compressed; } }; using mint = ModInt<998244353>; ll n, m; vll x, y, h; void input(){ in(n, m); x.resize(n); y.resize(n); h.resize(n); rep(i, n) in(x[i], y[i], h[i]); } void solve(){ vll nx(n), ny(n), cx, cy; rep(i, n){ ll d = m - h[i]; nx[i] = x[i] + y[i]; ny[i] = x[i] - y[i]; cx.push_back(nx[i] - d); cx.push_back(nx[i] + d); cy.push_back(ny[i] - d); cy.push_back(ny[i] + d); } compress compx(cx), compy(cy); ll xs = compx.size(), ys = compy.size(); vector imos(xs, vll(ys)); rep(i, n){ ll d = m - h[i]; ll xl = compx.get(nx[i] - d), xr = compx.get(nx[i] + d); ll yl = compy.get(ny[i] - d), yr = compy.get(ny[i] + d); imos[xl][yl]++; imos[xl][yr]--; imos[xr][yl]--; imos[xr][yr]++; } rep(i, xs - 1){ rep(j, ys){ imos[i + 1][j] += imos[i][j]; } } rep(i, xs){ rep(j, ys - 1){ imos[i][j + 1] += imos[i][j]; } } vector ans(n); rep(i, xs - 1){ rep(j, ys - 1){ ll lenx = compx.inv(i + 1) - compx.inv(i); ll leny = compy.inv(j + 1) - compy.inv(j); if(imos[i][j] >= 1){ ans[imos[i][j] - 1] += lenx * leny; } } } mint half = 1; half /= 2; rep(i, n) ans[i] *= half; vout(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }