using System; using System.Collections.Generic; using System.IO; using System.Linq; using static System.Math; using System.Text; using System.Threading; using System.Globalization; using System.Runtime.CompilerServices; using Library; namespace Program { public static class ProblemD { static bool SAIKI = false; static public int numberOfRandomCases = 0; static public void MakeTestCase(List _input, List _output, ref Func _outputChecker) { } static public void Solve() { var N = NN; var Q = NN; var theta = new System.Numerics.Complex[360]; for (var i = 0; i < 360; i++) theta[i] = System.Numerics.Complex.Pow(E, new System.Numerics.Complex(0, i * PI / 180.0)); var seg = new LIB_LazySegTree(Repeat(0, N).Select(_ => new System.Numerics.Complex(1, 0)), new System.Numerics.Complex(0, 0), 0, (ref System.Numerics.Complex x, ref System.Numerics.Complex y) => x + y, (ref System.Numerics.Complex x, ref long y, ref int c) => x * theta[(y + 360) % 360], (ref long x, ref long y) => (x + y + 360) % 360 ); var kakudo = new long[N]; for (var i = 0; i < Q; i++) { var t = NN; var idx = NN - 1; if (t == 0) { var th = NN; seg.Update(idx, N, th - kakudo[idx]); kakudo[idx] = th; } else if (t == 1) seg[idx] *= NN / seg[idx].Magnitude; else Console.WriteLine($"{seg.Query(0, idx + 1).Real} {seg.Query(0, idx + 1).Imaginary}"); } } class Printer : StreamWriter { public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { base.AutoFlush = false; } public Printer(Stream stream, Encoding encoding) : base(stream, encoding) { base.AutoFlush = false; } } static LIB_FastIO fastio = new LIB_FastIODebug(); static public void Main(string[] args) { if (args.Length == 0) { fastio = new LIB_FastIO(); Console.SetOut(new Printer(Console.OpenStandardOutput())); } if (SAIKI) { var t = new Thread(Solve, 134217728); t.Start(); t.Join(); } else Solve(); Console.Out.Flush(); } static long NN => fastio.Long(); static double ND => fastio.Double(); static string NS => fastio.Scan(); static long[] NNList(long N) => Repeat(0, N).Select(_ => NN).ToArray(); static double[] NDList(long N) => Repeat(0, N).Select(_ => ND).ToArray(); static string[] NSList(long N) => Repeat(0, N).Select(_ => NS).ToArray(); static long Count(this IEnumerable x, Func pred) => Enumerable.Count(x, pred); static IEnumerable Repeat(T v, long n) => Enumerable.Repeat(v, (int)n); static IEnumerable Range(long s, long c) => Enumerable.Range((int)s, (int)c); static IOrderedEnumerable OrderByRand(this IEnumerable x) => Enumerable.OrderBy(x, _ => xorshift); static IOrderedEnumerable OrderBy(this IEnumerable x) => Enumerable.OrderBy(x.OrderByRand(), e => e); static IOrderedEnumerable OrderBy(this IEnumerable x, Func selector) => Enumerable.OrderBy(x.OrderByRand(), selector); static IOrderedEnumerable OrderByDescending(this IEnumerable x) => Enumerable.OrderByDescending(x.OrderByRand(), e => e); static IOrderedEnumerable OrderByDescending(this IEnumerable x, Func selector) => Enumerable.OrderByDescending(x.OrderByRand(), selector); static IOrderedEnumerable OrderBy(this IEnumerable x) => x.OrderByRand().OrderBy(e => e, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderBy(this IEnumerable x, Func selector) => x.OrderByRand().OrderBy(selector, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderByDescending(this IEnumerable x) => x.OrderByRand().OrderByDescending(e => e, StringComparer.OrdinalIgnoreCase); static IOrderedEnumerable OrderByDescending(this IEnumerable x, Func selector) => x.OrderByRand().OrderByDescending(selector, StringComparer.OrdinalIgnoreCase); static string Join(this IEnumerable x, string separator = "") => string.Join(separator, x); static uint xorshift { get { _xsi.MoveNext(); return _xsi.Current; } } static IEnumerator _xsi = _xsc(); static IEnumerator _xsc() { uint x = 123456789, y = 362436069, z = 521288629, w = (uint)(DateTime.Now.Ticks & 0xffffffff); while (true) { var t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); yield return w; } } } } namespace Library { class LIB_LazySegTree where E : IEquatable { public delegate T F(ref T x, ref T y); public delegate T G(ref T x, ref E y, ref int c); public delegate E H(ref E x, ref E y); int n, height, sz; int[] rangeSz; T ti; E ei; F f; G g; H h; T[] dat; E[] laz; [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_LazySegTree(long _n, T _ti, E _ei, F _f, G _g, H _h) { n = 1; height = 0; sz = (int)_n; while (n < _n) { n <<= 1; ++height; } ti = _ti; ei = _ei; f = _f; g = _g; h = _h; dat = Enumerable.Repeat(ti, n << 1).ToArray(); laz = Enumerable.Repeat(ei, n).ToArray(); rangeSz = new int[n << 1]; for (var i = 0; i < sz; i++) rangeSz[n + i] = 1; for (var i = n - 1; i > 0; i--) { rangeSz[i] = rangeSz[(i << 1) | 0] + rangeSz[(i << 1) | 1]; dat[i] = f(ref dat[(i << 1) | 0], ref dat[(i << 1) | 1]); } } [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_LazySegTree(IEnumerable l, T _ti, E _ei, F _f, G _g, H _h) : this(l.Count(), _ti, _ei, _f, _g, _h) { var idx = 0; foreach (var item in l) dat[n + idx++] = item; for (var i = n - 1; i > 0; i--) dat[i] = f(ref dat[(i << 1) | 0], ref dat[(i << 1) | 1]); } [MethodImpl(MethodImplOptions.AggressiveInlining)] void Apply(long i, ref E v) { if (v.Equals(ei)) return; dat[i] = g(ref dat[i], ref v, ref rangeSz[i]); if (i < n) laz[i] = h(ref laz[i], ref v); } [MethodImpl(MethodImplOptions.AggressiveInlining)] void Up(long i) => dat[i] = f(ref dat[i << 1], ref dat[(i << 1) | 1]); [MethodImpl(MethodImplOptions.AggressiveInlining)] void Down(long i) { if (laz[i].Equals(ei)) return; var cl = i << 1; var cr = cl + 1; Apply(cl, ref laz[i]); Apply(cr, ref laz[i]); laz[i] = ei; } [MethodImpl(MethodImplOptions.AggressiveInlining)] void Thrust(long i) { for (var j = height; j > 0; j--) Down(i >> j); } [MethodImpl(MethodImplOptions.AggressiveInlining)] void Recalc(long i) { while ((i >>= 1) > 0) Up(i); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public void Update(long l, long r, E v) { if (l == r) return; l += n; r += n; for (var i = height; i >= 1; --i) { if (((l >> i) << i) != l) Down(l >> i); if (((r >> i) << i) != r) Down((r - 1) >> i); } for (long li = l, ri = r; li < ri; li >>= 1, ri >>= 1) { if ((li & 1) == 1) { Apply(li, ref v); ++li; } if ((ri & 1) == 1) { --ri; Apply(ri, ref v); } } for (var i = 1; i <= height; ++i) { if (((l >> i) << i) != l) Up(l >> i); if (((r >> i) << i) != r) Up((r - 1) >> i); } } [MethodImpl(MethodImplOptions.AggressiveInlining)] public T Query(long l, long r) { if (l == r) return ti; l += n; r += n; for (var i = height; i >= 1; --i) { if (((l >> i) << i) != l) Down(l >> i); if (((r >> i) << i) != r) Down((r - 1) >> i); } var vl = ti; var vr = ti; for (long li = l, ri = r; li < ri; li >>= 1, ri >>= 1) { if ((li & 1) == 1) vl = f(ref vl, ref dat[li++]); if ((ri & 1) == 1) vr = f(ref dat[--ri], ref vr); } return f(ref vl, ref vr); } [MethodImpl(MethodImplOptions.AggressiveInlining)] int FindToRight(int st, Func check, ref T acc, int k, int l, int r) { if (l + 1 == r) { acc = f(ref acc, ref dat[k]); return check(acc) ? k - n : sz; } Down(k); int m = (l + r) >> 1; if (m <= st) return FindToRight(st, check, ref acc, (k << 1) | 1, m, r); if (st <= l && !check(f(ref acc, ref dat[k]))) { acc = f(ref acc, ref dat[k]); return sz; } int vl = FindToRight(st, check, ref acc, (k << 1) | 0, l, m); if (vl != sz) return vl; return FindToRight(st, check, ref acc, (k << 1) | 1, m, r); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public int FindToRight(int st, Func check) { T acc = ti; return FindToRight(st, check, ref acc, 1, 0, n); } [MethodImpl(MethodImplOptions.AggressiveInlining)] int FindToLeft(int st, Func check, ref T acc, int k, int l, int r) { if (l + 1 == r) { acc = f(ref dat[k], ref acc); return check(acc) ? k - n : -1; } Down(k); int m = (l + r) >> 1; if (m > st) return FindToLeft(st, check, ref acc, (k << 1) | 0, l, m); if (st >= r - 1 && !check(f(ref dat[k], ref acc))) { acc = f(ref dat[k], ref acc); return -1; } int vr = FindToLeft(st, check, ref acc, (k << 1) | 1, m, r); if (vr != -1) return vr; return FindToLeft(st, check, ref acc, (k << 1) | 0, l, m); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public int FindToLeft(int st, Func check) { T acc = ti; return FindToLeft(st, check, ref acc, 1, 0, n); } public T this[long idx] { [MethodImpl(MethodImplOptions.AggressiveInlining)] get { Thrust(idx += n); return dat[idx]; } [MethodImpl(MethodImplOptions.AggressiveInlining)] set { Thrust(idx += n); dat[idx] = value; Recalc(idx); } } } class LIB_LazySegTree { [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f1(ref long x, ref long y) => Math.Min(x, y); [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f2(ref long x, ref long y, ref int c) => y; [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f3(ref long x, ref long y) => y; [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f4(ref long x, ref long y, ref int c) => x + y; [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f5(ref long x, ref long y) => x + y; [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f6(ref long x, ref long y) => Math.Max(x, y); [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f7(ref long x, ref long y, ref int c) => y * c; [MethodImpl(MethodImplOptions.AggressiveInlining)] static private long f8(ref long x, ref long y, ref int c) => x + y * c; static public LIB_LazySegTree CreateRangeUpdateRangeMin(IEnumerable init) => new LIB_LazySegTree(init, long.MaxValue, long.MinValue + 100, f1, f2, f3); static public LIB_LazySegTree CreateRangeAddRangeMin(IEnumerable init) => new LIB_LazySegTree(init, long.MaxValue, 0, f1, f4, f5); static public LIB_LazySegTree CreateRangeUpdateRangeMax(IEnumerable init) => new LIB_LazySegTree(init, long.MinValue, long.MaxValue - 100, f6, f2, f3); static public LIB_LazySegTree CreateRangeAddRangeMax(IEnumerable init) => new LIB_LazySegTree(init, long.MinValue, 0, f6, f4, f5); static public LIB_LazySegTree CreateRangeUpdateRangeSum(IEnumerable init) => new LIB_LazySegTree(init, 0, long.MaxValue, f5, f7, f3); static public LIB_LazySegTree CreateRangeAddRangeSum(IEnumerable init) => new LIB_LazySegTree(init, 0, 0, f5, f8, f5); } class LIB_FastIO { [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_FastIO() { str = Console.OpenStandardInput(); } readonly Stream str; readonly byte[] buf = new byte[1024]; int len, ptr; public bool isEof = false; public bool IsEndOfStream { [MethodImpl(MethodImplOptions.AggressiveInlining)] get { return isEof; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] byte read() { if (isEof) throw new EndOfStreamException(); if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } [MethodImpl(MethodImplOptions.AggressiveInlining)] char Char() { byte b = 0; do b = read(); while (b < 33 || 126 < b); return (char)b; } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public long Long() { long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } [MethodImpl(MethodImplOptions.AggressiveInlining)] virtual public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } } class LIB_FastIODebug : LIB_FastIO { Queue param = new Queue(); [MethodImpl(MethodImplOptions.AggressiveInlining)] string NextString() { if (param.Count == 0) foreach (var item in Console.ReadLine().Split(' ')) param.Enqueue(item); return param.Dequeue(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public LIB_FastIODebug() { } [MethodImpl(MethodImplOptions.AggressiveInlining)] public override string Scan() => NextString(); [MethodImpl(MethodImplOptions.AggressiveInlining)] public override long Long() => long.Parse(NextString()); [MethodImpl(MethodImplOptions.AggressiveInlining)] public override double Double() => double.Parse(NextString()); } }