#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
vector<int> a;
bool isPossible(int n, int k, int total, int mid){
if(total - mid <= k) return true;
int revSum = 0;
for(int i=n-1; i>=max(1LL, n-mid); i--){
revSum += a[i];
int sum = total - a[0] - revSum + (n-i+1)*(a[0] - (mid-(n-i)));
if(sum <= k) return true;
}
return false;
}
int consistency(int n, int k){
if(n==1){
if(a[0] > k) return a[0]-k;
}
sort(begin(a), end(a));
int total = 0;
for(auto& it : a) total += it;
if(k>=total) return 0;
int s = 0;
int e = INF;
while(s<e){
int mid = s + (e-s)/2;
if(isPossible(n, k, total, mid)){
e = mid;
}
else s = mid+1;
}
return e;
}
int practice(int n, int k){
return 0;
}
void solve() {
int n, k;
cin>> n >> k;
a.resize(n);
for(int i=0; i<n; i++) cin >> a[i];
cout << consistency(n, k) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
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