#include using namespace std; template struct LazySegmentTree { int N; vector segment; vector lazy; const FunctionM FuncM; const FunctionMO FuncMO; const FunctionO FuncO; const Monoid idM; const OperatorMonoid idOM; LazySegmentTree(int n, const FunctionM FuncM, const FunctionMO FuncMO, const FunctionO FuncO, const Monoid idM, const OperatorMonoid idOM) : FuncM(FuncM), FuncMO(FuncMO), FuncO(FuncO), idM(idM), idOM(idOM) { N = 1; while (N < n) N <<= 1; segment.assign(2 * N, idM); lazy.assign(2 * N, idOM); } LazySegmentTree(int n, const FunctionM FuncM, const FunctionMO FuncMO, const FunctionO FuncO, const Monoid idM, const OperatorMonoid idOM, const Monoid initVal) : FuncM(FuncM), FuncMO(FuncMO), FuncO(FuncO), idM(idM), idOM(idOM) { N = 1; while (N < n) N <<= 1; segment.assign(2 * N, initVal); lazy.assign(2 * N, idOM); } void set(int num, Monoid x) { segment[N + num] = x; } void build() { for (int k = N - 1; k > 0; k--) { segment[k] = FuncM(segment[2*k], segment[2*k+1]); } } void propagate(int k, int len){ if (lazy[k] != idOM) { if (k < N) { lazy[2*k] = FuncO(lazy[2*k], lazy[k]); lazy[2*k+1] = FuncO(lazy[2*k+1], lazy[k]); } segment[k] = FuncMO(segment[k], lazy[k], len); lazy[k] = idOM; } } // update:[a, b) Monoid update(int a, int b, const OperatorMonoid x) { return update(a, b, x, 1, 0, N); } Monoid update(int a, int b, const OperatorMonoid x, int k, int l, int r){ propagate(k, r-l); if (b <= l || r <= a) { return segment[k]; } else if (a <= l && r <= b) { lazy[k] = FuncO(lazy[k], x); propagate(k, r-l); return segment[k]; } else { int m = (l + r) / 2; return segment[k] = FuncM(update(a, b, x, 2*k, l, m), update(a, b, x, 2*k+1, m, r)); } } // query:[a, b) Monoid query(int a, int b) { return query(a, b, 1, 0, N); } Monoid query(int a, int b, int k, int l, int r) { propagate(k, r-l); if (b <= l || r <= a) { return idM; } else if (a <= l && r <= b) { return segment[k]; } else { int m = (l + r) / 2; return FuncM(query(a, b, 2*k, l, m), query(a, b, 2*k+1, m, r)); } } // 0-indexed numbering; Monoid operator[](const int &k) { return query(k, k + 1); } }; using D = pair; auto F = [](D a, D b) -> D { return {a.first + b.first, a.second + b.second}; }; auto G = [](D a, long long b, int len) -> D { long long y = a.second + b * len; long long x = b * b * len + 2 * b * a.second + a.first; return {x, y}; }; auto H = [](long long a, long long b) {return a + b;}; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int N; cin >> N; LazySegmentTree lst(N, F, G, H, D(0, 0), 0); for (int i = 0; i < N; i++) { long long A; cin >> A; lst.update(i, i+1, A); } int Q; cin >> Q; for (int i = 0; i < Q; i++) { int type; cin >> type; if (type == 1) { int l, r; long long x; cin >> l >> r >> x; lst.update(--l, r, x); } else { int l, r; cin >> l >> r; auto ret = lst.query(--l, r); cout << ret.first << "\n"; } } return 0; }