#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 *******************************
bool isPossible(int n, int m, int k, int mid){
int sum = (mid*(mid+1)/2) * 2;
int left = mid - k;
if(left<0){
sum += abs(left);
left = 0;
}
int right = mid - (n-k) - 1;
if(right<0){
sum += abs(right);
right = 0;
}
sum -= (left*(left+1)/2 + right*(right+1)/2 + mid);
return sum<=m;
}
void consistency(int n, int m, int k){
int s = 1, e = INF;
while(s<e){
int mid = s + (e-s+1)/2;
if(isPossible(n, m, k, mid)){
s = mid;
}
else e = mid-1;;
}
cout << e << endl;
}
void solve() {
int n, m, k;
cin>>n >> m >> k;
consistency(n, m, k);
}
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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