#include using namespace std; #define ms(s, n) memset(s, n, sizeof(s)) #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define FORd(i, a, b) for (int i = (a) - 1; i >= (b); i--) #define FORall(it, a) for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++) #define sz(a) int((a).size()) #define pconent(t, x) (t.find(x) != t.end()) #define all(a) (a).begin(), (a).end() #define uni(a) (a).erase(unique(all(a)), (a).end()) #define pb push_back #define pf push_front #define mp make_pair #define fi first #define se second #define prec(n) fixed<> (i)) & 1) #define bitcount(n) __builtin_popcountll(n) typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair pi; typedef vector vi; typedef vector vii; const int MOD = (int) 1e9 + 7; const int FFTMOD = 1007681537; const int INF = (int) 1e9; const ll LINF = (ll) 1e18; const ld PI = acos((ld) -1); const ld EPS = 1e-9; inline ll gcd(ll a, ll b) {ll r; while (b) {r = a % b; a = b; b = r;} return a;} inline ll lcm(ll a, ll b) {return a / gcd(a, b) * b;} inline ll fpow(ll n, ll k, int p = MOD) {ll r = 1; for (; k; k >>= 1) {if (k & 1) r = r * n % p; n = n * n % p;} return r;} template inline int chkmin(T& a, const T& val) {return val < a ? a = val, 1 : 0;} template inline int chkmax(T& a, const T& val) {return a < val ? a = val, 1 : 0;} inline ll isqrt(ll k) {ll r = sqrt(k) + 1; while (r * r > k) r--; return r;} inline ll icbrt(ll k) {ll r = cbrt(k) + 1; while (r * r * r > k) r--; return r;} inline void addmod(int& a, int val, int p = MOD) {if ((a = (a + val)) >= p) a -= p;} inline void submod(int& a, int val, int p = MOD) {if ((a = (a - val)) < 0) a += p;} inline int mult(int a, int b, int p = MOD) {return (ll) a * b % p;} inline int inv(int a, int p = MOD) {return fpow(a, p - 2, p);} inline int sign(ld x) {return x < -EPS ? -1 : x > +EPS;} inline int sign(ld x, ld y) {return sign(x - y);} #define db(x) cerr << #x << " = " << (x) << " "; #define endln cerr << "\n"; struct Matrix { int x[3][3]; Matrix() { FOR(i, 0, 3) FOR(j, 0, 3) x[i][j] = 0; } Matrix operator * (const Matrix& rhs) { Matrix res; FOR(i, 0, 3) FOR(j, 0, 3) { static long long SQMOD = (long long) MOD * MOD; long long tmp = 0; FOR(k, 0, 3) { tmp += (long long) x[i][k] * rhs.x[k][j]; if (tmp >= SQMOD) tmp -= SQMOD; } res.x[i][j] = tmp % MOD; } return res; } }; Matrix unit() { Matrix res; FOR(i, 0, 3) res.x[i][i] = 1; return res; } const int maxn = 1e5 + 5; int n, q; int x[maxn]; int y[maxn]; int a[maxn]; Matrix st[maxn << 1]; void upd(int p, Matrix val) { for (st[p += n] = val; p > 1; ) p >>= 1, st[p] = st[p << 1] * st[p << 1 | 1]; } Matrix query(int l, int r) { Matrix lres = unit(), rres = unit(); for (l += n, r += n + 1; l < r; l >>= 1, r >>= 1) { if (l & 1) lres = lres * st[l++]; if (r & 1) rres = st[--r] * rres; } return lres * rres; } void upd(int i) { double al = a[i] * PI / 180; Matrix val; val.x[0][0] = (int) round(cos(al)); val.x[1][0] = -(int) round(sin(al)); val.x[2][0] = x[i] * (1 - (int) round(cos(al))) + y[i] * ((int) round(sin(al))); val.x[0][1] = (int) round(sin(al)); val.x[1][1] = (int) round(cos(al)); val.x[2][1] = y[i] * (1 - (int) round(cos(al))) - x[i] * ((int) round(sin(al))); val.x[2][2] = 1; auto fixmod = [&] (int& x) { x = (x % MOD + MOD) % MOD; }; FOR(i, 0, 3) FOR(j, 0, 3) { fixmod(val.x[i][j]); } upd(i, val); } void solve() { cin >> n; assert(n <= 1e5); FOR(i, 0, n) { cin >> x[i] >> y[i] >> a[i]; assert(0 <= x[i] && x[i] <= 1e9); assert(0 <= y[i] && y[i] <= 1e9); assert(0 <= a[i] && a[i] < 360); assert(a[i] % 90 == 0); upd(i); } cin >> q; assert(q <= 2e5); while (q--) { int op; cin >> op; assert(op == 1 || op == 2); if (op == 1) { int x, y, l, r; cin >> x >> y >> l >> r; l--, r--; assert(0 <= x && x <= 1e9); assert(0 <= y && y <= 1e9); assert(0 <= l && l <= r && r < n); Matrix res = query(l, r); int xx = ((long long) x * res.x[0][0] + (long long) y * res.x[1][0] + res.x[2][0]) % MOD; int yy = ((long long) x * res.x[0][1] + (long long) y * res.x[1][1] + res.x[2][1]) % MOD; cout << xx << " " << yy << "\n"; } else { int u, xx, yy, aa; cin >> u >> xx >> yy >> aa; u--; assert(0 <= u && u < n); assert(0 <= xx && xx <= 1e9); assert(0 <= yy && yy <= 1e9); assert(0 <= aa && aa < 360); assert(aa % 90 == 0); x[u] = xx, y[u] = yy, a[u] = aa; upd(u); } } } int main(int argc, char* argv[]) { ios_base::sync_with_stdio(0), cin.tie(0); if (argc > 1) { assert(freopen(argv[1], "r", stdin)); } if (argc > 2) { assert(freopen(argv[2], "wb", stdout)); } solve(); cerr << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n"; return 0; }