#include using namespace std; using LL = long long; using ULL = unsigned long long; #define rep(i,n) for(int i=0; i<(n); i++) template< class S, S(*op)(S a, S b), S(*e)(), class F, S(*mapping)(F a, S b), F(*composition)(F a, F b), F(*id)() > struct lazy_segtree { private: struct Node { S v; F r; }; int N; vector V; void spread(int i) { V[i].v = mapping(V[i].r, V[i].v); if (i < N) { V[i * 2].r = composition(V[i].r, V[i * 2].r); V[i * 2 + 1].r = composition(V[i].r, V[i * 2 + 1].r); } V[i].r = id(); } public: lazy_segtree(int n) { N = 1; while (N < n) N *= 2; V.assign(N * 2, { e(),id() }); } lazy_segtree(vector A) { N = 1; while (N < A.size()) N *= 2; V.assign(N * 2, { e(),id() }); rep(i, A.size()) V[N + i].v = A[i]; for (int i = N - 1; i >= 1; i--) V[i].v = op(V[i * 2].v, V[i * 2 + 1].v); } void set(int p, S v) { p += N; for (int d = N; d >= 1; d /= 2) spread(p / d); V[p].v = v; int z = 1; while (p != 1) { p /= 2; z *= 2; spread(p * 2); spread(p * 2 + 1); V[p].v = op(V[p * 2].v, V[p * 2 + 1].v); } } S get(int p) { p += N; for (int d = N; d >= 1; d /= 2) spread(p / d); return V[p].v; } void apply(int l, int r, F v, int a = 0, int b = 0, int i = -1) { if (i == -1) { a = 0; b = N; i = 1; } if (r <= a || b <= l) { spread(i); return; } else if (l <= a && b <= r) { V[i].r = composition(v, V[i].r); spread(i); return; } spread(i); apply(l, r, v, a, (a + b) / 2, i * 2); apply(l, r, v, (a + b) / 2, b, i * 2 + 1); V[i].v = op(V[i * 2].v, V[i * 2 + 1].v); } S prod(int l, int r, int a = 0, int b = 0, int i = -1) { if (i == -1) { a = 0; b = N; i = 1; } if (r <= a || b <= l) return e(); spread(i); if (l <= a && b <= r) return V[i].v; S q1 = prod(l, r, a, (a + b) / 2, i * 2); S q2 = prod(l, r, (a + b) / 2, b, i * 2 + 1); q1 = op(q1, q2); return q1; } }; struct S { LL m[3] = {}; }; S op(S l, S r) { S res; rep(i, 3) res.m[i] = l.m[i] + r.m[i]; return res; } S e() { return { {0,0,0} }; } struct F { LL m[3][3] = {}; }; S mapping(F f, S a) { S res; rep(i, 3) rep(j, 3) res.m[i] += a.m[j] * f.m[j][i]; return res; } F composition(F f, F g) { F res; rep(i, 3) rep(j, 3) rep(k, 3) res.m[i][j] += g.m[i][k] * f.m[k][j]; return res; } F id() { return { {{1,0,0},{0,1,0},{0,0,1}} }; } using RQ = lazy_segtree; int main() { int N; cin >> N; vector rqinit(N); rep(i, N) { LL a; cin >> a; rqinit[i] = S{ {a * a,a,1} }; } RQ G(rqinit); int Q; cin >> Q; rep(i, Q) { int c; cin >> c; if (c == 1) { int l, r; LL x; cin >> l >> r >> x; l--; G.apply(l, r, F{ {{1,0,0},{2 * x,1,0},{x*x,x,1}} }); } else if (c == 2) { int l, r; cin >> l >> r; l--; cout << G.prod(l, r).m[0] << endl; } } return 0; }