import sys sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = 10**16 md = 998244353 # md = 10**9+7 class LazySegTree: def __init__(self, op, e, mapping, composition, _id, v): self._op = op self._e = e self._mapping = mapping self._composition = composition self._id = _id if isinstance(v, int): v = [e]*v self._n = len(v) self._log = (self._n-1).bit_length() self._size = 1 << self._log self._d = [self._e]*(2*self._size) self._lz = [self._id]*self._size for i in range(self._n): self._d[self._size+i] = v[i] for i in range(self._size-1, 0, -1): self._update(i) def set(self, p, x): p += self._size for i in range(self._log, 0, -1): self._push(p >> i) self._d[p] = x for i in range(1, self._log+1): self._update(p >> i) def get(self, p): p += self._size for i in range(self._log, 0, -1): self._push(p >> i) return self._d[p] def prod(self, left, right): if left == right: return self._e left += self._size right += self._size for i in range(self._log, 0, -1): if ((left >> i) << i) != left: self._push(left >> i) if ((right >> i) << i) != right: self._push(right >> i) sml = self._e smr = self._e while left < right: if left & 1: sml = self._op(sml, self._d[left]) left += 1 if right & 1: right -= 1 smr = self._op(self._d[right], smr) left >>= 1 right >>= 1 return self._op(sml, smr) def all_prod(self): return self._d[1] def apply(self, left, right, f): if right is None: p = left p += self._size for i in range(self._log, 0, -1): self._push(p >> i) self._d[p] = self._mapping(f, self._d[p]) for i in range(1, self._log+1): self._update(p >> i) else: if left == right: return left += self._size right += self._size for i in range(self._log, 0, -1): if ((left >> i) << i) != left: self._push(left >> i) if ((right >> i) << i) != right: self._push((right-1) >> i) l2 = left r2 = right while left < right: if left & 1: self._all_apply(left, f) left += 1 if right & 1: right -= 1 self._all_apply(right, f) left >>= 1 right >>= 1 left = l2 right = r2 for i in range(1, self._log+1): if ((left >> i) << i) != left: self._update(left >> i) if ((right >> i) << i) != right: self._update((right-1) >> i) def max_right(self, left, g): if left == self._n: return self._n left += self._size for i in range(self._log, 0, -1): self._push(left >> i) sm = self._e first = True while first or (left & -left) != left: first = False while left%2 == 0: left >>= 1 if not g(self._op(sm, self._d[left])): while left < self._size: self._push(left) left *= 2 if g(self._op(sm, self._d[left])): sm = self._op(sm, self._d[left]) left += 1 return left-self._size sm = self._op(sm, self._d[left]) left += 1 return self._n def min_left(self, right, g): if right == 0: return 0 right += self._size for i in range(self._log, 0, -1): self._push((right-1) >> i) sm = self._e first = True while first or (right & -right) != right: first = False right -= 1 while right > 1 and right%2: right >>= 1 if not g(self._op(self._d[right], sm)): while right < self._size: self._push(right) right = 2*right+1 if g(self._op(self._d[right], sm)): sm = self._op(self._d[right], sm) right -= 1 return right+1-self._size sm = self._op(self._d[right], sm) return 0 def _update(self, k): self._d[k] = self._op(self._d[2*k], self._d[2*k+1]) def _all_apply(self, k, f): self._d[k] = self._mapping(f, self._d[k]) if k < self._size: self._lz[k] = self._composition(f, self._lz[k]) def _push(self, k): self._all_apply(2*k, self._lz[k]) self._all_apply(2*k+1, self._lz[k]) self._lz[k] = self._id # treeのマージ def op(x, y): return x[0]+y[0], x[1]+y[1] # treeの単位元 e = (0, 0) # lazy(f)からtree(x)への操作 def mapping(f, x): p, q = x d = (p**2+q**2)**0.5 rad = atan2(q, p) rad = (rad+radians(f))%(2*pi) return d*cos(rad), d*sin(rad) # lazyの下への分解 def composition(f, g): return f+g # lazyの単位元 _id = 0 # 配列の初期値(サイズか配列そのもの)が最後 from math import sin, cos, pi, atan2, radians n, q = LI() # dd = [1]*n seg = LazySegTree(op, e, mapping, composition, _id, [(1, 0) for _ in range(n)]) for _ in range(q): tix = LI() if tix[0] == 0: _, i, x = tix i -= 1 seg.apply(i, n, x) if tix[0] == 1: _, i, x = tix i -= 1 p, q = seg.get(i) d = (p**2+q**2)**0.5 rate = x/d seg.set(i, (p*rate, q*rate)) if tix[0] == 2: _, i = tix x, y = seg.prod(0, i) print("{:.6f} {:.6f}".format(x, y))