#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
inline int power(int a, int b) {
int x = 1;
while (b) {
if (b & 1) x *= a;
a *= a;
b >>= 1;
}
return x;
}
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
//_ ***************************** START Below *******************************
vector<int> a;
bool isPossible(int n, int k, int mid){
int sum = 0;
for(int i=0; i<n; i++) sum += a[i];
int steps = 0;
for(int i=n-1; i>=1; i--){
if(steps > mid) return false;
if(sum <= k) return true;
if(a[i] > a[0]){
int diff = a[i]-a[0];
sum -= diff;
steps++;
}
}
int remSum = k - sum;
int remSteps = remSum;
return steps + remSteps <= mid;
}
int consistency(int n, int k){
if(n==1){
if(a[0] <= k) return 0;
return a[0]-k;
}
sort(begin(a), end(a));
int s = 0, e = INF;
while(s<e){
int mid = s + (e-s)/2;
if(isPossible(n, k, mid)){
e = mid;
}
else s = mid+1;
}
return e;
}
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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