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 import typing class SegTree: def __init__(self, op: typing.Callable[[typing.Any, typing.Any], typing.Any], e: typing.Any, v: typing.Union[int, typing.List[typing.Any]]) -> None: self._op = op self._e = e 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 = [e]*(2*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: int, x: typing.Any) -> None: assert 0 <= p < self._n p += self._size self._d[p] = x for i in range(1, self._log+1): self._update(p >> i) def get(self, p: int) -> typing.Any: assert 0 <= p < self._n return self._d[p+self._size] def prod(self, left: int, right: int) -> typing.Any: assert 0 <= left <= right <= self._n sml = self._e smr = self._e left += self._size right += self._size 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) -> typing.Any: return self._d[1] def max_right(self, left: int, f: typing.Callable[[typing.Any], bool]) -> int: assert 0 <= left <= self._n assert f(self._e) if left == self._n: return self._n left += self._size sm = self._e first = True while first or (left & -left) != left: first = False while left%2 == 0: left >>= 1 if not f(self._op(sm, self._d[left])): while left < self._size: left *= 2 if f(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: int, f: typing.Callable[[typing.Any], bool]) -> int: assert 0 <= right <= self._n assert f(self._e) if right == 0: return 0 right += self._size 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 f(self._op(self._d[right], sm)): while right < self._size: right = 2*right+1 if f(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: int) -> None: self._d[k] = self._op(self._d[2*k], self._d[2*k+1]) from math import sin, cos, pi, atan2, radians, degrees n, q = LI() def op(L, R): d0, rad0, s0 = L d1, rad1, s1 = R x = d0*cos(rad0)+d1*cos(s0+rad1) y = d0*sin(rad0)+d1*sin(s0+rad1) rad = atan2(y, x) d = (x**2+y**2)**0.5 return d, rad, s0+s1 e = (0, 0, 0) seg = SegTree(op, e, [(1, 0, 0) for _ in range(n)]) for _ in range(q): tix = LI() if tix[0] == 0: _, i, x = tix i -= 1 d, _, _ = seg.get(i) rad = radians(x) seg.set(i, (d, rad, rad)) elif tix[0] == 1: _, i, x = tix i -= 1 _, rad, _ = seg.get(i) seg.set(i, (x, rad, rad)) else: _, i = tix d, rad, _ = seg.prod(0, i) # print(i, d, degrees(rad)) x = d*cos(rad) y = d*sin(rad) print("{:.6f} {:.6f}".format(x, y))