#include #define For(i, a, b) for (int(i) = (int)(a); (i) < (int)(b); ++(i)) #define rFor(i, a, b) for (int(i) = (int)(a)-1; (i) >= (int)(b); --(i)) #define rep(i, n) For((i), 0, (n)) #define rrep(i, n) rFor((i), (n), 0) #define fi first #define se second using namespace std; typedef long long lint; typedef unsigned long long ulint; typedef pair pii; typedef pair pll; template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } return false; } template T div_floor(T a, T b) { if (b < 0) a *= -1, b *= -1; return a >= 0 ? a / b : (a + 1) / b - 1; } template T div_ceil(T a, T b) { if (b < 0) a *= -1, b *= -1; return a > 0 ? (a - 1) / b + 1 : a / b; } constexpr lint mod = 1000000007; constexpr lint INF = mod * mod; constexpr int MAX = 1000010; #ifndef ATCODER_INTERNAL_BITOP_HPP #define ATCODER_INTERNAL_BITOP_HPP 1 #ifdef _MSC_VER #include #endif namespace atcoder { namespace internal { // @param n `0 <= n` // @return minimum non-negative `x` s.t. `n <= 2**x` int ceil_pow2(int n) { int x = 0; while ((1U << x) < (unsigned int)(n)) x++; return x; } // @param n `1 <= n` // @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0` int bsf(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } } // namespace internal } // namespace atcoder #endif // ATCODER_INTERNAL_BITOP_HPP #ifndef ATCODER_LAZYSEGTREE_HPP #define ATCODER_LAZYSEGTREE_HPP 1 namespace atcoder { template struct lazy_segtree { public: lazy_segtree() : lazy_segtree(0) {} lazy_segtree(int n) : lazy_segtree(std::vector(n, e())) {} lazy_segtree(const std::vector &v) : _n(int(v.size())) { log = internal::ceil_pow2(_n); size = 1 << log; d = std::vector(2 * size, e()); lz = std::vector(size, id()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); return d[p]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); if (l == r) return e(); l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push(r >> i); } S sml = e(), smr = e(); while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } void apply(int p, F f) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = mapping(f, d[p]); for (int i = 1; i <= log; i++) update(p >> i); } void apply(int l, int r, F f) { assert(0 <= l && l <= r && r <= _n); if (l == r) return; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, f); if (r & 1) all_apply(--r, f); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } template int max_right(int l) { return max_right(l, [](S x) { return g(x); }); } template int max_right(int l, G g) { assert(0 <= l && l <= _n); assert(g(e())); if (l == _n) return _n; l += size; for (int i = log; i >= 1; i--) push(l >> i); S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!g(op(sm, d[l]))) { while (l < size) { push(l); l = (2 * l); if (g(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) { return min_left(r, [](S x) { return g(x); }); } template int min_left(int r, G g) { assert(0 <= r && r <= _n); assert(g(e())); if (r == 0) return 0; r += size; for (int i = log; i >= 1; i--) push((r - 1) >> i); S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!g(op(d[r], sm))) { while (r < size) { push(r); r = (2 * r + 1); if (g(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector d; std::vector lz; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } void all_apply(int k, F f) { d[k] = mapping(f, d[k]); if (k < size) lz[k] = composition(f, lz[k]); } void push(int k) { all_apply(2 * k, lz[k]); all_apply(2 * k + 1, lz[k]); lz[k] = id(); } }; } // namespace atcoder #endif // ATCODER_LAZYSEGTREE_HPP template struct modint { using i64 = int_fast64_t; i64 a; modint(const i64 a_ = 0) : a(a_) { if (a > MOD) a %= MOD; else if (a < 0) (a %= MOD) += MOD; } modint inv() { i64 t = 1, n = MOD - 2, x = a; while (n) { if (n & 1) (t *= x) %= MOD; (x *= x) %= MOD; n >>= 1; } modint ret(t); return ret; } bool operator==(const modint x) const { return a == x.a; } bool operator!=(const modint x) const { return a != x.a; } modint operator+(const modint x) const { return modint(*this) += x; } modint operator-(const modint x) const { return modint(*this) -= x; } modint operator*(const modint x) const { return modint(*this) *= x; } modint operator/(const modint x) const { return modint(*this) /= x; } modint operator^(const lint x) const { return modint(*this) ^= x; } modint &operator+=(const modint &x) { a += x.a; if (a >= MOD) a -= MOD; return *this; } modint &operator-=(const modint &x) { a -= x.a; if (a < 0) a += MOD; return *this; } modint &operator*=(const modint &x) { (a *= x.a) %= MOD; return *this; } modint &operator/=(modint x) { (a *= x.inv().a) %= MOD; return *this; } modint &operator^=(lint n) { i64 ret = 1; while (n) { if (n & 1) (ret *= a) %= MOD; (a *= a) %= MOD; n >>= 1; } a = ret; return *this; } modint operator-() const { return modint(0) - *this; } modint &operator++() { return *this += 1; } modint &operator--() { return *this -= 1; } bool operator<(const modint x) const { return a < x.a; } }; using mint = modint<1000000007>; vector fact; vector revfact; void setfact(int n) { fact.resize(n + 1); revfact.resize(n + 1); fact[0] = 1; rep(i, n) fact[i + 1] = fact[i] * mint(i + 1); revfact[n] = fact[n].inv(); for (int i = n - 1; i >= 0; i--) revfact[i] = revfact[i + 1] * mint(i + 1); } mint getC(int n, int r) { if (n < r) return 0; return fact[n] * revfact[r] * revfact[n - r]; } struct monoid { mint sum, len, fib; static monoid op(monoid lhs, monoid rhs) { return {lhs.sum + rhs.sum, lhs.len + rhs.len, lhs.fib + rhs.fib}; } static monoid e() { return {0, 0, 0}; } }; struct op_monoid { mint chval, add, fib, mul; bool ch; static monoid mapping(op_monoid lhs, monoid rhs) { if (lhs.ch) rhs.sum = lhs.chval * rhs.len; else rhs.sum *= lhs.mul; rhs.sum += lhs.add * rhs.len; rhs.sum += rhs.fib * lhs.fib; return rhs; } static op_monoid composition(op_monoid lhs, op_monoid rhs) { if (lhs.ch) return lhs; else { rhs.chval *= lhs.mul; rhs.add *= lhs.mul; rhs.fib *= lhs.mul; rhs.add += lhs.add; rhs.fib += lhs.fib; rhs.mul *= lhs.mul; return rhs; } } static op_monoid id() { return {0, 0, 0, 1, false}; } }; using namespace atcoder; int main() { int n, q; scanf("%d%d", &n, &q); vector a(n); rep(i, n) { a[i].sum = 0; a[i].len = 1; if (i == 0) a[i].fib = 0; else if (i == 1) a[i].fib = 1; else a[i].fib = a[i - 1].fib + a[i - 2].fib; } lazy_segtree lst(a); rep(_, q) { int t, l, r, k; scanf("%d%d%d%d", &t, &l, &r, &k); ++r; if (t == 0) printf("%lld\n", (lst.prod(l, r).sum * k).a); else if (t == 1) lst.apply(l, r, {k, 0, 0, 1, true}); else if (t == 2) lst.apply(l, r, {0, k, 0, 1, false}); else if (t == 3) lst.apply(l, r, {0, 0, 0, k, false}); else lst.apply(l, r, {0, 0, k, 1, false}); } }