#include <iostream>
#include <stdio.h>
#define lc (o << 1)
#define rc (o << 1 | 1)
using namespace std;
typedef long long LL;
#define S (1e5 + 5)
double sum1[400005], sum2[400005], tag[400005];
double a[100005];
int n, q;
void pushup(int o) {
sum1[o] = sum1[lc] + sum1[rc];
sum2[o] = sum2[lc] + sum2[rc];
}
void pushdown(int o, int l, int r) {
tag[lc] += tag[o];
tag[rc] += tag[o];
int mid = (l + r) / 2;
sum2[lc] += 2 * tag[o] * sum1[lc] + (mid - l + 1) * tag[o] * tag[o];
sum2[rc] += 2 * tag[o] * sum1[rc] + (r - mid) * tag[o] * tag[o];
sum1[lc] += (mid - l + 1) * tag[o];
sum1[rc] += (r - mid) * tag[o];
tag[o] = 0;
}
void build(int o, int l, int r) {
if (l == r) {
sum1[o] = a[l];
sum2[o] = a[l] * a[l];
return;
}
int mid = (l + r) / 2;
build(lc, l, mid);
build(rc, mid + 1, r);
pushup(o);
}
double query1(int o, int l, int r, int ql, int qr) {
if (ql <= l && r <= qr) {
return sum1[o];
}
int mid = (l + r) / 2;
double ans = 0;
pushdown(o, l, r);
if (ql <= mid) {
ans += query1(lc, l, mid, ql, qr);
}
if (mid < qr) {
ans += query1(rc, mid + 1, r, ql, qr);
}
return ans;
}
double query2(int o, int l, int r, int ql, int qr) {
if (ql <= l && r <= qr) {
return sum2[o];
}
int mid = (l + r) / 2;
double ans = 0;
pushdown(o, l, r);
if (ql <= mid) {
ans += query2(lc, l, mid, ql, qr);
}
if (mid < qr) {
ans += query2(rc, mid + 1, r, ql, qr);
}
return ans;
}
void update(int o, int l, int r, int pl, int pr, int v) {
if (pl <= l && r <= pr) {
tag[o] += v;
sum2[o] += 2 * v * sum1[o] + (r - l + 1) * v * v;
sum1[o] += (r - l + 1) * v;
return;
}
if (r < pl || l > pr) {
return;
}
pushdown(o, l, r);
int mid = (l + r) / 2;
update(lc, l, mid, pl, pr, v);
update(rc, mid + 1, r, pl, pr, v);
pushup(o);
}
int main() {
cin >> n >> q;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
build(1, 1, n);
int op, x, y;
double k;
while (q--) {
cin >> op >> x >> y;
if (op == 2) {
printf("%.4f\n", query1(1, 1, n, x, y) / (y - x + 1));
}
if (op == 1) {
cin >> k;
update(1, 1, n, x, y, k);
} else {
double s1 = query2(1, 1, n, x, y) / (y - x + 1);
double s2 = query1(1, 1, n, x, y) / (y - x + 1);
printf("%.4f\n", s1 - s2 * s2);
}
}
return 0;
}
Orz