#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } ll my_pow(ll x, ll n, ll mod) { //  繰り返し二乗法.x^nをmodで割った余り. ll ret; if (n == 0) { ret = 1; } else if (n % 2 == 1) { ret = (x * my_pow((x * x) % mod, n / 2, mod)) % mod; } else { ret = my_pow((x * x) % mod, n / 2, mod); } return ret; } ll inv(ll x, ll mod) { return my_pow(x, mod - 2, mod); } int main() { ll N, M; cin >> N >> M; vector X(N); vector Y(N); vector H(N); for (ll i = 0; i < N; i++) { cin >> X[i] >> Y[i] >> H[i]; } map mpplus; map mpminus; for (ll i = 0; i < N; i++) { ll diffs = M - H[i]; if (diffs <= 0) { continue; } mpplus[X[i] + Y[i] + diffs]++; mpplus[X[i] + Y[i] - diffs]++; mpminus[X[i] - Y[i] + diffs]++; mpminus[X[i] - Y[i] - diffs]++; } ll plus = 1; ll minus = 1; for (auto itr = mpplus.begin(); itr != mpplus.end(); itr++) { itr->second = plus; plus++; } for (auto itr = mpminus.begin(); itr != mpminus.end(); itr++) { itr->second = minus; minus++; } vector vec_plus(0); vector vec_minus(0); for (auto itr = mpplus.begin(); itr != mpplus.end(); itr++) { vec_plus.push_back(itr->first); } for (auto itr = mpminus.begin(); itr != mpminus.end(); itr++) { vec_minus.push_back(itr->first); } // x 軸,y 軸の代わりに プラス軸,マイナス軸 vector> imos(plus + 1, vector(minus + 1)); for (ll i = 0; i < N; i++) { ll diffs = M - H[i]; if (diffs <= 0) { continue; } ll plus_min = mpplus[X[i] + Y[i] - diffs]; ll plus_max = mpplus[X[i] + Y[i] + diffs]; ll minus_min = mpminus[X[i] - Y[i] - diffs]; ll minus_max = mpminus[X[i] - Y[i] + diffs]; imos[plus_min][minus_min]++; imos[plus_min][minus_max]--; imos[plus_max][minus_min]--; imos[plus_max][minus_max]++; } for (ll i = 1; i <= plus; i++) { for (ll j = 1; j <= minus; j++) { imos[i][j] = imos[i][j] + imos[i - 1][j] + imos[i][j - 1] - imos[i - 1][j - 1]; } } ll inv_2 = (mod2 + 1) / 2; // debug(vec_plus); // debug(vec_minus); // debug(imos); vector ans(N + 1); for (ll i = 1; i <= plus - 2; i++) { for (ll j = 1; j <= minus - 2; j++) { if (imos[i][j] >= 1) { ll prod = (vec_plus[i] - vec_plus[i - 1]); prod = (prod * (vec_minus[j] - vec_minus[j - 1])) % mod2; // debug_out(i, j, prod); prod = (prod * inv_2) % mod2; ans[imos[i][j]] = (ans[imos[i][j]] + prod) % mod2; } } } for (ll i = 1; i <= N; i++) { cout << ans[i] << endl; } }