// need #include #include // data structure #include #include #include #include #include #include #include #include #include //#include #include #include #include // stream //#include //#include //#include #include // etc #include #include #include #include //#include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w=0; w void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& R:c)for(auto& w:R)std::cin>>w; // output #define OUT(dist) std::cout<<(dist); #define FOUT(n, dist) std::cout<=(a);--w) #define REP(w, n) for(int w=0;w=0;--w) #define FORLL(w, a, n) for(ll w=ll(a);w=ll(a);--w) #define REPLL(w, n) for(ll w=0;w=0;--w) #define IN(a, x, b) (a<=x && x inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} //void CHECKTIME(std::function f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } // test template std::vector> VV(int n, int m, T init = T()) { return std::vector>(n, std::vector(m, init)); } template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } // type/const #define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-10; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; template void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; } template void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); } template void FILL(std::vector& a, const T& val) { for (auto& x : a) x = val; } template void FILL(std::vector>& a, const T& val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------------------->8------------ int f[1000006]; int c[1000006]; // ------------>8---------- LazySegmentTree ---------->8------------ // ## write [ LST lst(n, SUM/MAX/MIN, ADD/UPD) ] when using this snippet. enum QUERY_SEG_LazySegmentTree { SUM, MAX, MIN }; enum QUERY_LAZ_LazySegmentTree { ADD, UPD }; template class LazySegmentTree { private: std::vector seg; std::vector laz; std::vector isUpdated; int ARY_SIZE; SEG eSeg; LAZ eLaz; std::function mergeSeg; std::function mergeLaz; std::function applyLaz; void push(int k, int l, int r) { if (!isUpdated[k]) { applyLaz(seg[k], laz[k], l, r); isUpdated[k] = true; if (r - l > 1) { laz[k * 2 + 1] = mergeLaz(laz[k * 2 + 1], laz[k]); laz[k * 2 + 2] = mergeLaz(laz[k * 2 + 2], laz[k]); isUpdated[k * 2 + 1] = false; isUpdated[k * 2 + 2] = false; } laz[k] = eLaz; } } public: LazySegmentTree(int n, SEG eSeg, LAZ eLaz, std::function mergeSeg, std::function mergeLaz, std::function applyLaz) : ARY_SIZE(1), eSeg(eSeg), eLaz(eLaz), mergeSeg(mergeSeg), mergeLaz(mergeLaz), applyLaz(applyLaz) { ARY_SIZE = 1; while (ARY_SIZE < n) ARY_SIZE *= 2; seg.resize(ARY_SIZE * 2 - 1); laz.resize(ARY_SIZE * 2 - 1); isUpdated.resize(ARY_SIZE * 2 - 1, true); } void update(int a, int b, LAZ v, int k, int l, int r) { push(k, l, r); if (r <= a || b <= l) return; if (a <= l && r <= b) { laz[k] = mergeLaz(laz[k], v); isUpdated[k] = false; push(k, l, r); } else { update(a, b, v, k * 2 + 1, l, (l + r) / 2); update(a, b, v, k * 2 + 2, (l + r) / 2, r); seg[k] = mergeSeg(seg[k * 2 + 1], seg[k * 2 + 2]); } } // ## update [l, r) with v void update(int l, int r, LAZ v) { update(l, r, v, 0, 0, ARY_SIZE); } SEG query(int a, int b, int k, int l, int r) { push(k, l, r); if (r <= a || b <= l) return eSeg; if (a <= l && r <= b) return seg[k]; SEG vl = query(a, b, k * 2 + 1, l, (l + r) / 2); SEG vr = query(a, b, k * 2 + 2, (l + r) / 2, r); return mergeSeg(vl, vr); } // ## return SUM/MAX/MIN in [l, r) SEG query(int l, int r) { return query(l, r, 0, 0, ARY_SIZE); } }; using LST = LazySegmentTree; // ------------>8---------- LazySegmentTree ---------->8------------ ll powMod(ll n, ll p, ll mod) { ll res = 1; while (p) { if (p & 1) (res *= n) %= mod; (n *= n) %= mod; p >>= 1; } return res; } std::map inv; ll invMod(ll n, ll mod) { if (inv.count(n)) return inv[n]; return inv[n] = powMod(n, mod - 2, mod); } signed main() { INIT; f[1] = 1; FOR(i, 2, 1000001) { f[i] = (f[i - 2] + f[i - 1]) % MOD; } REP(i, 1000000) { c[i + 1] = (f[i] + c[i]) % MOD; } VAR(int, n, Q); struct L { int upd, add, fadd, coef; L() : upd(-1), add(0), fadd(0), coef(1) {} L(int upd, int add, int fadd, int coef) : upd(upd), add(add), fadd(fadd), coef(coef) {} }; std::function mergeSeg = [&](int l, int r) { return (l + r) % MOD; }; std::function mergeLaz = [&](L l, L r) { if (r.upd != -1) { l = r; } else { if (l.upd != -1) { l.upd = l.upd * l.coef % MOD; l.add = (l.add * l.coef % MOD + r.add) % MOD; l.fadd = (l.fadd * l.coef % MOD + r.fadd) % MOD; l.coef = r.coef; } else { int inv = invMod(l.coef, MOD); l.add = (l.add + r.add * inv) % MOD; l.fadd = (l.fadd + r.fadd * inv) % MOD; (l.coef *= r.coef) %= MOD; } } return l; }; std::function applyLaz = [&](int& l, L r, int L, int R) { if (r.upd != -1) l = r.upd * (R - L) % MOD; (l += r.add * (R - L)) %= MOD; (l += r.fadd * (c[R] - c[L])) %= MOD; (l *= r.coef) %= MOD; if (l < 0) l += MOD; return l; }; LazySegmentTree lst(n, 0, L(), mergeSeg, mergeLaz, applyLaz); // int time, upd, add, fadd, coef; REP(_, Q) { VAR(int, q, l, r, k); ++r; if (q == 0) { int t = lst.query(l, r); OUT(t * k % MOD)BR; } else if (q == 1) { lst.update(l, r, L{ k, 0, 0, 1 }); } else if (q == 2) { lst.update(l, r, L{ -1, k, 0, 1 }); } else if (q == 3) { lst.update(l, r, L{ -1, 0, 0, k }); } else { lst.update(l, r, L{ -1, 0, k, 1 }); } } return 0; }//608277227