#include <bits/stdc++.h>
using namespace std;
void solve() {
int n;
cin >> n;
vector<int> a(n);
for (int &x : a) cin >> x;
sort(a.begin(), a.end());
int max_val = a[n - 1];
long long res = 0;
for (int k = n - 1; k >= 2; --k) {
int i = 0, j = k - 1;
while (i < j) {
if (a[i] + a[j] > a[k]) {
int l = i, r = j - 1, idx = j;
while (l <= r) {
int mid = (l + r) / 2;
if (a[mid] + a[j] + a[k] > max_val) {
idx = mid;
r = mid - 1;
} else {
l = mid + 1;
}
}
res += (j - idx);
j--;
} else {
i++;
}
}
}
cout << res << '\n';
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int t;
cin >> t;
while (t--) {
solve();
}
return 0;
}
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