include <bits/stdc++.h>
using namespace std;
int main(){
long long int t;
cin>>t;
while(t--){
long long int n,x;
cin>>n>>x;
long long int lo,hi;
vector<long long int> v(n);
for(long long int i=0;i<n;i++){
long long int cur;
cin>>cur;
v[i]=cur;
}
lo=1;
hi=10000000000000;
while(hi-lo>1){
long long int mid =(lo+hi)/2;
long long int tf=0;
long long int water=x;
for(long long int i=0;i<n;i++){
if(mid>=v[i]){
water=water-(mid-v[i]);
//cout<<"kk"<<endl;
}
if (water<0){
//cout<<"mid is "<<mid<<endl;
tf=1;
break;
}
}
if(tf==1){
hi=mid;
}
else{
lo=mid;
}
}
if(lo!=hi){
long long int tf=0;
long long int water=x;
for(long long int i=0;i<n;i++){
water=water-(hi-v[i]);
if (water<=0){
tf=1;
break;
}
}
if(tf==0){
cout<<hi<<endl;
}
else{
cout<<lo<<endl;
}
}
else{
cout<<lo<<endl;
}
}
return 0;
}