/* author:ryo3ihara date:2021-01-06 18:59:31   ”継続は力なり、雨だれ石を穿つ”       ”slow but steady wins the race” */ #pragma GCC optimize("Ofast") #include //#include //using namespace atcoder; /* #include #include namespace mpb = boost::multiprecision; using bint = mpb::cpp_int; // 仮数部が1024ビットの浮動小数点数型(TLEしたら小さくする) using Real = mpb::number>; */ #ifdef __HOGE__ #pragma region macro #endif using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned; using pll = pair; using pli = pair; using pii = pair; using pld = pair; using ppiii = pair; using ppiill = pair; using ppllll = pair; using pplii = pair; using mii = map; using dll = deque; using qll = queue; using pqll = priority_queue; using pqrll = priority_queue, greater>; using pqrpll = priority_queue, greater>; using vint = vector; using vbool = vector; using vstr = vector; using vll = vector; using vpll = vector; using vvll = vector>; using vvint = vector>; using vvbool = vector; using vvstr = vector; using vvpll = vector>; #define REP(i,n) for(ll i=0;i=0;i--) #define FOR(i,a,b) for(ll i=a;i<=ll(b);i++) #define FORD(i,a,b) for(ll i=a;i>=ll(b);i--) #define overload4(_1,_2,_3,_4,name,...) name #define overload3(_1,_2,_3,name,...) name #define rep1(n) for(ll i=0;i(a);) #define rrep4(i,a,b,c) for(ll i=(a)+((b)-(a)-1)/(c)*(c);i>=(a);i-=c) #define rrep(...) overload4(__VA_ARGS__,rrep4,rrep3,rrep2,rrep1)(__VA_ARGS__) #define each1(i,a) for(auto&&i:a) #define each2(x,y,a) for(auto&&[x,y]:a) #define each3(x,y,z,a) for(auto&&[x,y,z]:a) #define each(...) overload4(__VA_ARGS__,each3,each2,each1)(__VA_ARGS__) #define all1(i) begin(i),end(i) #define all2(i,a) begin(i),begin(i)+a #define all3(i,a,b) begin(i)+a,begin(i)+b #define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__) #define rall1(i) (i).rbegin(),(i).rend() #define rall2(i,k) (i).rbegin(),(i).rbegin()+k #define rall3(i,a,b) (i).rbegin()+a,(i).rbegin()+b #define rall(...) overload3(__VA_ARGS__,rall3,rall2,rall1)(__VA_ARGS__) #define SUM(...) accumulate(all(__VA_ARGS__),0LL) #define ALL(x) x.begin(),x.end() #define rALL(x) x.rbegin(),x.rend() #define SIZE(x) ll(x.size()) #define Sort(a) sort(all(a)) #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__) #define STR(...) string __VA_ARGS__;in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)int scan(){ return getchar(); } #define fs first #define sc second void scan(int& a){ scanf("%d", &a); } void scan(unsigned& a){ scanf("%u", &a); } void scan(long& a){ scanf("%ld", &a); } void scan(long long& a){ scanf("%lld", &a); } void scan(unsigned long long& a){ scanf("%llu", &a); } void scan(char& a){ do{ a = getchar(); }while(a == ' ' || a == '\n'); } void scan(float& a){ scanf("%f", &a); } void scan(double& a){ scanf("%lf", &a); } void scan(long double& a){ scanf("%Lf", &a); } void scan(vector& a){ for(unsigned i = 0; i < a.size(); i++){ int b; scan(b); a[i] = b; } } void scan(char a[]){ scanf("%s", a); } void scan(string& a){ cin >> a; } template void scan(vector&); template void scan(array&); template void scan(pair&); template void scan(T(&)[size]); template void scan(vector& a){ for(auto&& i : a) scan(i); } template void scan(deque& a){ for(auto&& i : a) scan(i); } template void scan(array& a){ for(auto&& i : a) scan(i); } template void scan(pair& p){ scan(p.first); scan(p.second); } template void scan(T (&a)[size]){ for(auto&& i : a) scan(i); } template void scan(T& a){ cin >> a; } void in(){} template void in(Head& head, Tail&... tail){ scan(head); in(tail...); } void print(){ putchar(' '); } void print(bool a){ printf("%d", a); } void print(int a){ printf("%d", a); } void print(unsigned a){ printf("%u", a); } void print(long a){ printf("%ld", a); } void print(long long a){ printf("%lld", a); } void print(unsigned long long a){ printf("%llu", a); } void print(char a){ printf("%c", a); } void print(char a[]){ printf("%s", a); } void print(const char a[]){ printf("%s", a); } void print(float a){ printf("%.15f", a); } void print(double a){ printf("%.15f", a); } void print(long double a){ printf("%.15Lf", a); } void print(const string& a){ for(auto&& i : a) print(i); } template void print(const complex& a){ if(a.real() >= 0) print('+'); print(a.real()); if(a.imag() >= 0) print('+'); print(a.imag()); print('i'); } template void print(const vector&); template void print(const array&); template void print(const pair& p); template void print(const T (&)[size]); template void print(const vector& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const deque& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const array& a){ print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ putchar(' '); print(*i); } } template void print(const pair& p){ print(p.first); putchar(' '); print(p.second); } template void print(const T (&a)[size]){ print(a[0]); for(auto i = a; ++i != end(a); ){ putchar(' '); print(*i); } } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } #ifdef DEBUG inline ll __lg(ull x){ return 63 - __builtin_clzll(x); } #define debug(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); } #else #define debug(...) void(0) #endif #define INF32 2147483647 //2.147483647x10^{9}:32bit整数のinf #define INF64 9223372036854775807 //9.223372036854775807x10^{18}:64bit整数のinf const ll MOD = 1000000007; const int inf = 1e9; const ll INF = 1e18; const ll MAXR = 100000; //10^5:配列の最大のrange const ld PI=3.1415926535897932; inline void Yes(bool b = true) { cout << (b ? "Yes" : "No") << '\n'; } inline void YES(bool b = true) { cout << (b ? "YES" : "NO") << '\n'; } inline void OKNG(bool b = true) { cout << (b ? "OK" : "NG") << '\n'; } inline void possible(bool i = true){ cout << (i?"possible":"impossible") << '\n'; } inline void Possible(bool i = true){ cout << (i?"Possible":"Impossible") << '\n'; } inline void POSSIBLE(bool i = true){ cout << (i?"POSSIBLE":"IMPOSSIBLE") << '\n'; } template inline bool chmin(A& a, B b) {if (a > b) {a = b;return true;}return false;} template inline bool chmax(A& a, B b) {if (a < b) {a = b;return true;}return false;} template A min(A a, B b) {if (a < b) {return a;}return b;} template A max(A a, B b) {if (a > b) {return a;}return b;} template auto min(const T& a){ return *min_element(a.begin(),a.end()); } template auto max(const T& a){ return *max_element(a.begin(),a.end()); } template A power(A a, B b) {A res=1;while (b>0) {if (b&1){res*=a;}b/=2;a*=a;}return res;} template A powmod(A a, B b) {A res=1;while (b>0) {if (b&1){res*=a;res%=MOD;}b/=2;a*=a;a%=MOD;}return res;} template A powmod(A a, B b,C m) {A res=1;while (b>0) {if (b&1){res*=a;res%=m;}b/=2;a*=a;a%=m;}return res;} template A nlcm(vector a) {A res;res = a[0];for (ll i = 1; i < (ll)a.size(); i++) {res = lcm(res, a[i]);}return res;} template A ngcd(vector a){A res;res = a[0];for(ll i = 1; i < (ll)a.size() && res != 1; i++) {res = gcd(a[i], res);}return res;} #ifdef __HOGE__ #pragma endregion #endif //segment_tree_hyper //findや、applyは半開区間 //要素にも作用素にも非可換モノイドが使用可 template class segment_tree{ using T = typename U::typeT; using E = typename U::typeE; int num = 0, lognum = 0; std::vector segtree_t; std::vector segtree_e; std::vector width; public: segment_tree(int n, T deft){ _constructor(n); std::fill(segtree_t.begin() + (1 << lognum), segtree_t.begin() + (1 << lognum) + n, deft); if(U::segtree_type != 2) for(int i = (1 << lognum) - 1; i != 0; i--){ segtree_t[i] = U::func_tt(segtree_t[i << 1], segtree_t[(i << 1) + 1]); } } segment_tree(std::vector &vec){ _constructor(vec.size()); std::copy(vec.begin(), vec.end(), segtree_t.begin() + (1 << lognum)); if(U::segtree_type != 2) for(int i = (1 << lognum) - 1; i != 0; i--){ segtree_t[i] = U::func_tt(segtree_t[i << 1], segtree_t[(i << 1) + 1]); } } void _constructor(int n){ num = n; while((1 << lognum) < n) lognum++; segtree_t = std::vector(1 << (lognum + 1), U::e_t); if(U::segtree_type != 1){ segtree_e = std::vector(1 << (lognum + 1), U::e_e); } if(U::segtree_type == 3){ width = std::vector(1 << (lognum + 1), 1); for(int i = (1 << lognum) - 1; i != 0; i--){ width[i] = width[i << 1] + width[(i << 1) + 1]; } } } inline void split_query(int ind){ int ind2 = (ind << 1); if(U::segtree_type == 3){ segtree_t[ind2] = U::func_te(segtree_t[ind2] , segtree_e[ind], width[ind2]); segtree_t[ind2 + 1] = U::func_te(segtree_t[ind2 + 1], segtree_e[ind], width[ind2]); } if(U::segtree_type != 1){ segtree_e[ind2] = U::func_ee(segtree_e[ind2] , segtree_e[ind]); segtree_e[ind2 + 1] = U::func_ee(segtree_e[ind2 + 1], segtree_e[ind]); segtree_e[ind] = U::e_e; } } void apply(int bg, int ed, E query){ if(U::segtree_type != 1){ bg += (1 << lognum); ed += (1 << lognum); for(int i = lognum; i >= 1; i--){ if(((bg >> i) << i) != bg) split_query(bg >> i); if(((ed >> i) << i) != ed) split_query((ed - 1) >> i); } int bg_temp = bg, ed_temp = ed - 1; while(bg_temp < ed_temp){ if(bg_temp & 1){ segtree_e[bg_temp] = U::func_ee(segtree_e[bg_temp], query); if(U::segtree_type == 3) segtree_t[bg_temp] = U::func_te(segtree_t[bg_temp], query, width[bg_temp]); bg_temp++; } if(~ed_temp & 1){ segtree_e[ed_temp] = U::func_ee(segtree_e[ed_temp], query); if(U::segtree_type == 3) segtree_t[ed_temp] = U::func_te(segtree_t[ed_temp], query, width[ed_temp]); ed_temp--; } bg_temp >>= 1; ed_temp >>= 1; } if(bg_temp == ed_temp){ segtree_e[bg_temp] = U::func_ee(segtree_e[bg_temp], query); if(U::segtree_type == 3) segtree_t[bg_temp] = U::func_te(segtree_t[bg_temp], query, width[bg_temp]); } if(U::segtree_type == 3) for(int i = 1; i <= lognum; i++){ if(((bg >> i) << i) != bg){ segtree_t[bg >> i] = U::func_tt(segtree_t[(bg >> i) << 1], segtree_t[((bg >> i) << 1) + 1]); } if(((ed >> i) << i) != ed){ segtree_t[(ed - 1) >> i] = U::func_tt(segtree_t[((ed - 1) >> i) << 1], segtree_t[(((ed - 1) >> i) << 1) + 1]); } } } } void apply(int ind, E query){ if(U::segtree_type == 1){ ind += (1 << lognum); segtree_t[ind] = U::func_te(segtree_t[ind], query, 1); ind >>= 1; for(; ind != 0; ind >>= 1){ segtree_t[ind] = U::func_tt(segtree_t[ind << 1], segtree_t[(ind << 1) + 1]); } } } T find(int bg, int ed){ if(U::segtree_type != 2){ bg += (1 << lognum); ed += (1 << lognum); if(U::segtree_type == 3) for(int i = lognum; i >= 1; i--){ if(((bg >> i) << i) != bg) split_query(bg >> i); if(((ed >> i) << i) != ed) split_query((ed - 1) >> i); } T res1 = U::e_t, res2 = U::e_t; ed--; while(bg < ed){ if(bg & 1){ res1 = U::func_tt(res1, segtree_t[bg]); bg++; } if(~ed & 1){ res2 = U::func_tt(segtree_t[ed], res2); ed--; } bg >>= 1; ed >>= 1; } if(bg == ed) res1 = U::func_tt(res1, segtree_t[bg]); res1 = U::func_tt(res1, res2); return res1; } return U::e_t; } T find(int ind){ if(U::segtree_type == 2){ ind += (1 << lognum); for(int i = lognum; i >= 1; i--){ split_query(ind >> i); } segtree_t[ind] = U::func_te(segtree_t[ind], segtree_e[ind], 1); segtree_e[ind] = U::e_e; return segtree_t[ind]; } return U::e_t; } void print(int n){ std::cout << "val : "; for(auto itr = segtree_t.begin(); itr != segtree_t.end(); itr++){ std::cout << std::right << std::setw(n) << *itr << " "; } std::cout << "\n"; std::cout << "lazy: "; for(auto itr = segtree_e.begin(); itr != segtree_e.end(); itr++){ std::cout << std::right << std::setw(n) << *itr << " "; } std::cout << "\n"; } }; //segment_tree> Seg(vector) で宣言 /* template struct FINDquery_APPLYquery{ static constexpr int segtree_type = 1:一点更新区間取得 2:区間更新一点取得 3:区間更新区間取得; using typeT = T; using typeE = T; static constexpr typeT e_t = 要素モノイドの単位元;(type2の時不要) static constexpr typeT e_e = 作用素モノイドの単位元;(type1の時不要) static typeT func_tt(typeT a, typeT b){return 要素モノイド同士の演算;}(type2の時不要) static typeT func_te(typeT a, typeE b, int w){return 作用素モノイドの要素モノイドへの作用;} static typeE func_ee(typeE a, typeE b){return 作用素モノイド同士の演算;}(type1の時不要)) }; */ //range affine range sum query //Seg.apply(w, x, std::make_pair(b, c)); で[w,x)のa_iに対してa_i ← b x a_i + c に更新できる(b=0でcの更新、b=1でcの加算になる) template struct RsummodQ_RaffineQ{ static constexpr int segtree_type = 3; using typeT = std::pair; using typeE = std::array; static constexpr typeT e_t = std::make_pair(0, 0); static constexpr typeE e_e = {1, 0, 0}; static typeT func_tt(typeT a, typeT b){ return std::make_pair((a.first + b.first) % MOD, (a.second + b.second) % MOD); } static typeT func_te(typeT a, typeE b, int w){ return std::make_pair((b[0]*a.first + b[1]*(long long)w + b[2]*a.second)%MOD, a.second) ; } static typeE func_ee(typeE a, typeE b){ return {(a[0]*b[0]) % MOD, (a[1]*b[0]+b[1]) % MOD,(a[2]*b[0] + b[2]) % MOD }; } }; signed main(){ //入力の高速化用のコード ios::sync_with_stdio(false); cin.tie(nullptr); //cout << fixed << setprecision(20); //入力 ll N,Q; cin >> N >> Q; vpll A(N,{0,1}); A[0].sc=0; rep(i,2,N)A[i].sc=(A[i-1].sc+A[i-2].sc)%MOD; segment_tree> Seg(A); rep(i,Q){ ll q,l,r,k; cin >> q >> l >> r >> k; if(q==0){ cout << (k*Seg.find(l,r+1).fs)%MOD << endl; }else if(q==1){ Seg.apply(l,r+1,{0,k,0}); }else if(q==2){ Seg.apply(l,r+1,{1,k,0}); }else if(q==3){ Seg.apply(l,r+1,{k,0,0}); }else{ Seg.apply(l,r+1,{1,0,k}); } } //cout << ans << endl; return 0; }