C.cpp

//#pragma GCC optimize "trapv"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3", "unroll-loops")
#pragma GCC target("avx,avx2,fma")
#include<bits/stdc++.h>
#define ll long long int
#define fab(a,b,i) for(int i=a;i<b;i++)
#define pb push_back
#define db double
#define mp make_pair
#define endl "\n"
#define f first
#define se second
#define all(x) x.begin(),x.end()
#define MOD 1000000007
#define vll vector<ll>
#define vi vector<int>
#define pii pair<int,int>
#define pll pair<ll,ll>
#define quick ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)

using namespace std;

ll add(ll x, ll y) {ll res = x + y; return (res >= MOD ? res - MOD : res);}
ll mul(ll x, ll y) {ll res = x * y; return (res >= MOD ? res % MOD : res);}
ll sub(ll x, ll y) {ll res = x - y; return (res < 0 ? res + MOD : res);}
ll power(ll x, ll y) {ll res = 1; x %= MOD; while (y) {if (y & 1)res = mul(res, x); y >>= 1; x = mul(x, x);} return res;}
ll mod_inv(ll x) {return power(x, MOD - 2);}
ll lcm(ll x, ll y) { ll res = x / __gcd(x, y); return (res * y);}


int main()
{	quick;
#ifndef ONLINE_JUDGE
	freopen("D:/sublime/input.txt", "r", stdin);
	freopen("D:/sublime/output.txt", "w", stdout);
#endif
	int t = 1;
	cin >> t;
	while (t--)
	{
		int n;
		cin >> n;
		vector<ll> a(2 * n);
		map<ll, ll> m;
		fab(0, 2 * n, i)
		{
			cin >> a[i];
			m[a[i]]++;

		}
		bool ok = 1;
		vector<ll> v;
		for (auto i : m)
		{
			ok &= (i.se % 2 == 0);
			v.pb(i.f / 2);
			ok &= (i.f % 2 == 0);
		}
		ok &= (m.size() == n);
		if (!ok or v.back() % n > 0)
		{
			cout << "NO" << endl;
			continue;
		}
		reverse(all(v));
		ll val = v[0] / n;
		vector<ll> ans;
		ans.pb(v[0] / n);

		fab(1, n, i)
		{
			//cout << "v:" << v[i] << endl;
			//cout << ans.back() << endl;


			ll op = v[i] - val ;
			//cout << "op:" << op << endl;

			ll ex = op % (n - i );
			ll pp = op / (n - i );

			if (ex > 0 or op < 0 )
			{
				ok = 0;
				break;
			}
			val += pp;
			ans.pb(pp);


		}
		set<ll> s;
		for (auto i : ans)
		{	s.insert(i);
			s.insert(-i);
		}
		ok &= (s.size() == 2 * n);
		cout << (ok ? "YES" : "NO") << endl;

	}


	cerr << "time taken : " << (float)clock() / CLOCKS_PER_SEC << " secs" << endl;
	return 0;
}