using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, q) = (c[0], c[1]); var query = NArr(q); var len = Enumerable.Repeat(1, n + 1).ToArray(); var dir = new int[n + 1]; // var sq = (int)Math.Sqrt(q) + 1; var sq = q; var x = new double[n + 1]; var y = new double[n + 1]; var cdir = new int[n + 1]; var ans = new List(); for (var i = 0; i < q; i += sq) { for (var j = 0; j < n; ++j) { cdir[j + 1] = cdir[j] + dir[j + 1]; x[j + 1] = x[j] + len[j + 1] * Math.Cos(cdir[j + 1] * Math.PI / 180); y[j + 1] = y[j] + len[j + 1] * Math.Sin(cdir[j + 1] * Math.PI / 180); } // WriteLine($"x: {string.Join(" ", x)}"); // WriteLine($"y: {string.Join(" ", y)}"); // WriteLine($"cdir: {string.Join(" ", cdir)}"); var set = new HashSet(); var rdic = new Dictionary(); for (var j = 0; j < sq; ++j) { if (query[i + j][0] == 1) { rdic[query[i + j][1]] = cdir[query[i + j][1]]; } else if (query[i + j][0] == 2) { set.Add(query[i + j][1]); } } for (var j = 0; j < sq; ++j) { if (query[i + j][0] == 0) { var pos = query[i + j][1]; var nr = query[i + j][2]; foreach (var li in set) if (li >= pos) { (x[li], y[li]) = Round(x[li], y[li], x[pos - 1], y[pos - 1], nr - dir[pos]); } foreach (var ri in rdic) if (ri.Key >= pos) rdic[ri.Key] += nr - dir[pos]; dir[pos] = nr; } else if (query[i + j][0] == 1) { var pos = query[i + j][1]; var nl = query[i + j][2]; foreach (var li in set) if (li >= pos) { x[li] += (nl - len[pos]) * Math.Cos(rdic[pos] * Math.PI / 180); y[li] += (nl - len[pos]) * Math.Sin(rdic[pos] * Math.PI / 180); } len[pos] = nl; } else { ans.Add($"{x[query[i + j][1]]:0.00000000} {y[query[i + j][1]]:0.00000000}"); } // WriteLine($"x: {string.Join(" ", x)}"); // WriteLine($"y: {string.Join(" ", y)}"); } } WriteLine(string.Join("\n", ans)); } static (double x, double y) Round(double x, double y, double cx, double cy, int dr) { var len = Math.Sqrt((x - cx) * (x - cx) + (y - cy) * (y - cy)); var nr = Math.Atan2(y - cy, x - cx) + dr * Math.PI / 180; // WriteLine($"Round ({x}, {y}) from ({cx}, {cy}) r: {Math.Atan2(y - cy, x - cx)} + {dr}"); return (cx + len * Math.Cos(nr), cy + len * Math.Sin(nr)); } }