for _ in range(int(input())):
count = 0
n = int(input())
candies = [int(x) for x in input().split()]
min = sum(candies) / n
if min % 1 != 0:
print(-1)
continue
for c in candies:
if c > min:
count += 1
print(count)
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
void solve() {
ll n;
cin >> n;
vector<ll> a(n);
ll s = 0;
for (ll i = 0; i < n; ++i) {
cin >> a[i];
s += a[i];
}
if (s % n != 0) {
cout << -1 << "\n";
return;
}
ll ans = 0;
for (auto x: a) {
ans += (x > s / n);
}
cout << ans << "\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ll tst = 1;
cin >> tst;
while (tst--) {
solve();
}
return 0;
}
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