#include using namespace std; struct node { int l, r; double s, s2, d; node() { l = r = 0; s = s2 = d = 0.00; } node(int _l, int _r) { l = _l; r = _r; s = s2 = d = 0.00; } } tr[100005 << 2]; int n, m, op, x, y; double k, a[100005]; void pushup(int u) { tr[u].s = tr[u << 1].s + tr[u << 1 | 1].s; tr[u].s2 = tr[u << 1].s2 + tr[u << 1 | 1].s2; } void pushdown(int u) { if (!tr[u].d) return; tr[u << 1].d += tr[u].d; tr[u << 1 | 1].d += tr[u].d; tr[u << 1].s2 += tr[u << 1].s * tr[u].d * 2 + (tr[u << 1].r - tr[u << 1].l + 1) * tr[u].d * tr[u].d; tr[u << 1 | 1].s2 += tr[u << 1 | 1].s * tr[u].d * 2 + (tr[u << 1 | 1].r - tr[u << 1 | 1].l + 1) * tr[u].d * tr[u].d; tr[u << 1].s += (tr[u << 1].r - tr[u << 1].l + 1) * tr[u].d; tr[u << 1 | 1].s += (tr[u << 1 | 1].r - tr[u << 1 | 1].l + 1) * tr[u].d; tr[u].d = 0; } void build(int u, int l, int r) { tr[u] = node(l, r); if (l == r) { tr[u].s = a[l]; tr[u].s2 = a[l] * a[l]; return; } int mid = l + r >> 1; build(u << 1, l, mid); build(u << 1 | 1, mid + 1, r); pushup(u); } double query(int u, int l, int r) { if (l <= tr[u].l && tr[u].r <= r) { return tr[u].s; } int mid = tr[u].l + tr[u].r >> 1; double s = 0.00; pushdown(u); if (l <= mid) s += query(u << 1, l, r); if (r > mid) s += query(u << 1 | 1, l, r); return s; } double query2(int u, int l, int r) { if (l <= tr[u].l && tr[u].r <= r) { return tr[u].s2; } int mid = tr[u].l + tr[u].r >> 1; double s = 0.00; pushdown(u); if (l <= mid) s += query2(u << 1, l, r); if (r > mid) s += query2(u << 1 | 1, l, r); return s; } void modify(int u, int l, int r, double d) { if (l <= tr[u].l && tr[u].r <= r) { tr[u].d += d; tr[u].s2 += tr[u].s * d * 2 + (tr[u].r - tr[u].l + 1) * d * d; tr[u].s += (tr[u].r - tr[u].l + 1) * d; return; } int mid = tr[u].l + tr[u].r >> 1; pushdown(u); if (l <= mid) modify(u << 1, l, r, d); if (r > mid) modify(u << 1 | 1, l, r, d); pushup(u); } int main() { cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> a[i]; } build(1, 1, n); for (int i = 0; i < m; i++) { cin >> op >> x >> y; if (op == 1) { cin >> k; modify(1, x, y, k); } else if (op == 2) { cout << fixed << setprecision(4) << (double)query(1, x, y) / (y - x + 1) << endl; } else if (op == 3) { cout << fixed << setprecision(4) << (double)(query2(1, x, y) / ((y - x + 1) * 1.00)) - pow(query(1, x, y) / ((y - x + 1) * 1.00), 2) << endl; } } return 0; }