#include using namespace std; // #define LOCAL // 提出時はコメントアウト #define DEBUG_ typedef long long ll; const double EPS = 1e-9; const ll INF = ((1LL<<62)-(1LL<<31)); typedef vector vecl; typedef pair pairl; template using mapv = map>; #define ALL(v) v.begin(), v.end() #define REP(i, x, n) for(int i = x; i < n; i++) #define rep(i, n) REP(i, 0, n) #define contains(S,x) find(ALL(S),x) != S.end() ll llceil(ll a,ll b) { return (a+b-1)/b; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template vector> genarr(ll n, ll m, T init) { return vector>(n,vector(m,init)); } ///// DEBUG #define DUMPOUT cerr #define repi(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) templateistream&operator>>(istream&is,vector&vec){for(T&x:vec)is>>x;return is;} templateostream&operator<<(ostream&os,pair&pair_var){os<<"("<ostream&operator<<(ostream&os,const vector&vec){os<<"{";for(int i=0;iostream&operator<<(ostream&os,map&map_var){os<<"{";repi(itr,map_var){os<<*itr;itr++;if(itr!=map_var.end())os<<", ";itr--;} os<<"}";return os;} templateostream&operator<<(ostream&os,set&set_var){os<<"{";repi(itr,set_var){os<<*itr;itr++;if(itr!=set_var.end())os<<", ";itr--;} os<<"}";return os;} void dump_func(){DUMPOUT<void dump_func(Head&&head,Tail&&...tail){DUMPOUT<0){DUMPOUT<<", ";} dump_func(std::move(tail)...);} #ifndef LOCAL #undef DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" \ << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif ////////// // Lazy Segtree: https://atcoder.github.io/ac-library/document_ja/lazysegtree.html // @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 } 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 = 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) { // O(logn) 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) { // O(logn) 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) { // [l,r), O(logn) 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]; } // O(1) void apply(int p, F f) { // O(logn) 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) { // O(logn) 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) { // [l,n) で二分探索 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) { // [0,r)で二分探索 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(); } }; // 以下二つの演算を定義する // 要素の更新: f = mapping // 要素の総積: * = op // 演算に関してはそれぞれ独立に考えると良い // (S,*): 結合律の成立と単位元の存在を満たせばOK // 交換律は必要ないので演算の向きを恣意的に決めてOK /// モノイド (S,*) struct S { ll left; ll right; ll F; }; S op(S l, S r) { // S * S if (l.left == -1) return r; else if (r.left == -1) return l; ll alpha = l.right != r.left; return S{l.left, r.right, l.F + r.F + alpha}; } S e() { return S{-1, -1, 0}; } // モノイドの単位元 /// 写像 F struct F { // 写像FがS以外に使う変数 ll x; }; S mapping(F l, S r) { // f(x): 演算*について閉じている (親ノードが子ノードからもらう様子を意識する) return S{r.left+l.x, r.right + l.x, r.F}; // f(xl*xr) = al * ar + size * bl = f(xl) * f(xr) } F composition(F l, F r) { // 写像の合成: 常にl(r)で合成される / l = idの時に注意 return F{l.x+r.x}; // f(f(x)) = al * ar * x + al * br + bl } F id() { // 恒等写像 return F{0}; } int main() { #ifdef LOCAL ifstream in("../../Atcoder/input.txt"); cin.rdbuf(in.rdbuf()); #endif ll N,Q; cin>>N>>Q; vector A(N); rep(i,N) { ll a; cin>>a; A[i] = {a,a,0}; } lazy_segtree seg(A); dump(seg.all_prod().F); rep(q,Q) { ll t,l,r,x; cin>>t>>l>>r; l--; if (t == 1) { cin>>x; seg.apply(l,r,F{x}); } else { cout << seg.prod(l,r).F + 1 << endl; } } return 0; }