#include #define rep(i, n) for (int i = 0; i < (n); i++) #define repr(i, n) for (int i = (n) - 1; i >= 0; i--) #define range(a) a.begin(), a.end() using namespace std; using ll = long long; constexpr int U = 1 << 17; using vec = array; using mat = array, 4>; mat operator*(mat a, mat b) { mat res = {}; rep(i, 4) rep(k, 4) rep(j, 4) res[i][j] += a[i][k] * b[k][j]; return res; } vec operator*(mat a, vec b) { vec res = {}; rep(i, 4) rep(j, 4) res[i] += a[i][j] * b[j]; return res; } vec operator+(vec a, vec b) { rep(i, 4) a[i] += b[i]; return a; } mat unit() { mat res = {}; rep(i, 4) rep(j, 4) res[i][j] = i == j; return res; } vec dat[U * 2]; mat lazy[U * 2]; void apply(int k, mat v) { lazy[k] = v * lazy[k]; dat[k] = v * dat[k]; } void push(int k) { apply(k * 2 + 0, lazy[k]); apply(k * 2 + 1, lazy[k]); lazy[k] = unit(); } void pull(int k) { dat[k] = dat[k * 2] + dat[k * 2 + 1]; } void update(int a, int b, mat v, int k = 1, int l = 0, int r = U) { if (r <= a || b <= l) return; if (a <= l && r <= b) { apply(k, v); return; } push(k); int m = (l + r) / 2; update(a, b, v, k * 2 + 0, l, m); update(a, b, v, k * 2 + 1, m, r); pull(k); } vec query(int a, int b, int k = 1, int l = 0, int r = U) { if (r <= a || b <= l) return vec{}; if (a <= l && r <= b) return dat[k]; push(k); int m = (l + r) / 2; vec vl = query(a, b, k * 2 + 0, l, m); vec vr = query(a, b, k * 2 + 1, m, r); return vl + vr; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int N, Q; cin >> N >> Q; vector A(N); rep(i, U * 2) lazy[i] = unit(); rep(i, N) { cin >> A[i]; dat[i + U][0] = A[i]; dat[i + U][1] = A[i] % 2; dat[i + U][2] = (A[i] + 1) % 2; dat[i + U][3] = 1; } for (int i = U - 1; i >= 1; i--) pull(i); while (Q--) { int type; cin >> type; if (type == 1) { int l, r; cin >> l >> r; l--; mat v = { vec{0, 1, 0, 0}, vec{0, 1, 0, 0}, vec{0, 0, 1, 0}, vec{0, 0, 0, 1}, }; update(l, r, v); } else if (type == 2) { int l, r, x; cin >> l >> r >> x; l--; if (x % 2 == 1) { mat v = { vec{1, 0, 0, x}, vec{0, 0, 1, 0}, vec{0, 1, 0, 0}, vec{0, 0, 0, 1}, }; update(l, r, v); } else { mat v = { vec{1, 0, 0, x}, vec{0, 1, 0, 0}, vec{0, 0, 1, 0}, vec{0, 0, 0, 1}, }; update(l, r, v); } } else { int l, r; cin >> l >> r; l--; vec ans = query(l, r); cout << ans[0] << '\n'; } } }