#include<iostream>
#include<algorithm>
#include<cstring>
using namespace std;
const int N=100010;
struct node{
int l,r;
double sum,squ,add;
}tr[N*4];
int n,m;
double w[N];
void pushup(int u){
tr[u].sum=tr[u<<1].sum+tr[u<<1|1].sum;
tr[u].squ=tr[u<<1].squ+tr[u<<1|1].squ;
}
void pushdown(int u){
tr[u<<1].add+=tr[u].add;
tr[u<<1|1].add+=tr[u].add;
tr[u<<1].squ+=2*tr[u].add*tr[u<<1].sum+(tr[u<<1].l-tr[u<<1].r+1)*tr[u].add*tr[u].add;
tr[u<<1|1].squ+=2*tr[u].add*tr[u<<1|1].sum+(tr[u<<1|1].l-tr[u<<1|1].r+1)*tr[u].add*tr[u].add;
tr[u<<1].sum+=(tr[u<<1].r-tr[u<<1].l+1)*tr[u].add;
tr[u<<1|1].sum+=(tr[u<<1|1].r-tr[u<<1|1].l+1)*tr[u].add;
tr[u].add=0;
}
void build(int u,int l,int r){
if(l==r)tr[u]={l,r,w[r],w[r]*w[r],0};
else{
tr[u]={l,r,0,0,0};
int mid=l+r>>1;
build(u<<1,l,mid),build(u<<1|1,mid+1,r);
pushup(u);
}
}
void modify(int u,int l,int r,double v){
if(tr[u].l>=l&&tr[u].r<=r){
tr[u].add+=v;
tr[u].squ+=2*v*tr[u].sum+(tr[u].r-tr[u].l+1)*v*v;
tr[u].sum+=(tr[u].r-tr[u].l+1)*v;
}
else{
pushdown(u);
int mid=tr[u].l+tr[u].r>>1;
if(l<=mid)modify(u<<1,l,r,v);
if(r>mid)modify(u<<1|1,l,r,v);
pushup(u);
}
}
double query(int u,int l,int r,int op){
if(tr[u].l>=l&&tr[u].r<=r){
if(op==2)return tr[u].sum;
return tr[u].squ;
}
pushdown(u);
int mid=tr[u].l+tr[u].r>>1;
double ans=0;
if(l<=mid)ans+=query(u<<1,l,r,op);
if(r>mid)ans+=query(u<<1|1,l,r,op);
return ans;
}
int main(){
scanf("%d%d",&n,&m);
for(int i=1;i<=n;i++)scanf("%lf",&w[i]);
build(1,1,n);
int op,x,y;
while(m--){
scanf("%d%d%d",&op,&x,&y);
if(op==1){
double k;
scanf("%lf",&k);
modify(1,x,y,k);
}
else if(op==2){
double t=query(1,x,y,2);
double ans=t/(y-x+1);
printf("%.4lf\n",ans);
}
else {
double t=query(1,x,y,3);
double p=query(1,x,y,2);
double ans=t/(y-x+1)-((p/(y-x+1))*(p/(y-x+1)));
printf("%.4lf\n",ans);
}
}
return 0;
}