import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines class LazySegTree: def __init__(self, N, X_f, X_unit, A_f, A_unit, operate): self.N = N self.X_f = X_f self.X_unit = X_unit self.A_f = A_f self.A_unit = A_unit self.operate = operate self.X = [self.X_unit] * (N + N) self.A = [self.A_unit] * (N + N) self.N_elem = [0] * (N+N) for i in range(N, N+N): self.N_elem[i] = 1 for i in range(N-1, 0, -1): self.N_elem[i] = self.N_elem[i<<1] + self.N_elem[i<<1|1] def build(self, seq): for i, x in enumerate(seq, N): self.X[i] = x for i in range(N - 1, 0, -1): self.X[i] = self.X_f(self.X[i << 1], self.X[i << 1 | 1]) def _eval_at(self, i): return self.operate(self.X[i], self.A[i], self.N_elem[i]) def _propagate_at(self, i): self.X[i] = self._eval_at(i) self.A[i << 1] = self.A_f(self.A[i << 1], self.A[i]) self.A[i << 1 | 1] = self.A_f(self.A[i << 1 | 1], self.A[i]) self.A[i] = self.A_unit def _propagate_above(self, i): H = i.bit_length() - 1 for h in range(H, 0, -1): self._propagate_at(i >> h) def _recalc_above(self, i): while i > 1: i >>= 1 self.X[i] = self.X_f(self._eval_at(i << 1), self._eval_at(i << 1 | 1)) def set_val(self, i, x): i += self.N self._propagate_above(i) self.X[i] = x self.A[i] = self.A_unit self._recalc_above(i) def operate_range(self, L, R, x): L += self.N R += self.N L0 = L // (L & -L) R0 = R // (R & -R) - 1 self._propagate_above(L0) self._propagate_above(R0) while L < R: if L & 1: self.A[L] = self.A_f(self.A[L], x) L += 1 if R & 1: R -= 1 self.A[R] = self.A_f(self.A[R], x) L >>= 1 R >>= 1 self._recalc_above(L0) self._recalc_above(R0) def fold(self, L, R): L += self.N R += self.N self._propagate_above(L // (L & -L)) self._propagate_above(R // (R & -R) - 1) v = self.X_unit while L < R: if L & 1: v = self.X_f(v, self._eval_at(L)) L += 1 if R & 1: R -= 1 v = self.X_f(self._eval_at(R), v) L >>= 1 R >>= 1 return v X_unit = 0 # odd + (sum << 20) A_unit = 2 def X_f(x, y): return x + y def A_f(x, y): x1, x0 = divmod(x, 3) y1, y0 = divmod(y, 3) if y0 != 2: return 3 * y1 + ((x0 + x1 + y0) & 1) return 3 * (x1 + y1) + x0 def operate(x, a, n): mask = (1<<20) - 1 od = x & mask su = x >> 20 add, t = divmod(a, 3) if t == 2: if add & 1: od = n - od return od + (su + add * n << 20) if t == 1: od = n - od su = od + add * n if add & 1: od = n - od return od + (su << 20) N, Q = map(int, readline().split()) seg = LazySegTree(N, X_f, X_unit, A_f, A_unit, operate) A = map(int, readline().split()) A = ((x << 20) + (x & 1) for x in A) seg.build(A) for query in readlines(): if query.startswith(b'1'): L, R = map(int, query[2:].split()) seg.operate_range(L - 1, R, 0) elif query.startswith(b'2'): L, R, x = map(int, query[2:].split()) seg.operate_range(L - 1, R, 3 * x + 2) elif query.startswith(b'3'): L, R = map(int, query[2:].split()) print(seg.fold(L - 1, R) >> 20)