import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } // T: monoid // op: T * T -> T // query(a, b): returns t_a ... t_{b-1} class SegmentTree(T, alias op) { import std.functional : binaryFun; alias opFun = binaryFun!op; const(T) idT; int n; T[] ts; this(int n_, const(T) idT) { this.idT = idT; for (n = 1; n < n_; n <<= 1) {} ts = new T[n << 1]; ts[] = idT; } this(inout(T)[] ts_, const(T) idT) { this.idT = idT; const n_ = cast(int)(ts_.length); for (n = 1; n < n_; n <<= 1) {} ts = new T[n << 1]; ts[0 .. n] = idT; ts[n .. n + n_] = ts_[]; ts[n + n_ .. n << 1] = idT; build(); } ref T at(int a) { return ts[n + a]; } void build() { foreach_reverse (a; 1 .. n) ts[a] = opFun(ts[a << 1], ts[a << 1 | 1]); } void set(int a, const(T) val) { ts[a += n] = val; for (; a >>= 1; ) ts[a] = opFun(ts[a << 1], ts[a << 1 | 1]); } void mulL(int a, const(T) val) { set(a, opFun(val, ts[a + n])); } void mulR(int a, const(T) val) { set(a, opFun(ts[a + n], val)); } T query(int a, int b) const { T prodL = idT, prodR = idT; for (a += n, b += n; a < b; a >>= 1, b >>= 1) { if (a & 1) prodL = opFun(prodL, ts[a++]); if (b & 1) prodR = opFun(ts[--b], prodR); } return opFun(prodL, prodR); } } struct T { real r, th, sum; } T opTT(const(T) a, const(T) b) { const x = a.r * cos(a.th) + b.r * cos(a.sum + b.th); const y = a.r * sin(a.th) + b.r * sin(a.sum + b.th); return T(hypot(x, y), atan2(y, x), a.sum + b.sum); } void main() { try { for (; ; ) { const N = readInt(); const Q = readInt(); auto rs = new real[N]; auto ths = new real[N]; rs[] = 1.0L; ths[] = 0.0L; auto seg = new SegmentTree!(T, opTT)(N, T(0.0L, 0.0L, 0.0L)); foreach (i; 0 .. N) { seg.at(i) = T(rs[i], ths[i], ths[i]); } seg.build; foreach (q; 0 .. Q) { const typ = readInt(); switch (typ) { case 0: { const i = readInt() - 1; const th = readReal() / 180.0L * PI; ths[i] = th; seg.set(i, T(rs[i], ths[i], ths[i])); } break; case 1: { const i = readInt() - 1; const r = readReal(); rs[i] = r; seg.set(i, T(rs[i], ths[i], ths[i])); } break; case 2: { const i = readInt(); const res = seg.query(0, i); debug { writeln("res = ", res); } const x = res.r * cos(res.th); const y = res.r * sin(res.th); writefln("%.9f %.9f", x, y); } break; default: assert(false); } } } } catch (EOFException e) { } }