Make it Divisible - ALLDIV3.cpp

// https://www.codechef.com/COOK135B/problems/ALLDIV3
/*

     ░██████╗██████╗░░█████╗░██████╗░░██████╗██╗░░██╗  ░██████╗░██╗░░░██╗██████╗░████████╗░█████╗░
     ██╔════╝██╔══██╗██╔══██╗██╔══██╗██╔════╝██║░░██║  ██╔════╝░██║░░░██║██╔══██╗╚══██╔══╝██╔══██╗
     ╚█████╗░██████╔╝███████║██████╔╝╚█████╗░███████║  ██║░░██╗░██║░░░██║██████╔╝░░░██║░░░███████║
     ░╚═══██╗██╔═══╝░██╔══██║██╔══██╗░╚═══██╗██╔══██║  ██║░░╚██╗██║░░░██║██╔═══╝░░░░██║░░░██╔══██║
     ██████╔╝██║░░░░░██║░░██║██║░░██║██████╔╝██║░░██║  ╚██████╔╝╚██████╔╝██║░░░░░░░░██║░░░██║░░██║
     ╚═════╝░╚═╝░░░░░╚═╝░░╚═╝╚═╝░░╚═╝╚═════╝░╚═╝░░╚═╝  ░╚═════╝░░╚═════╝░╚═╝░░░░░░░░╚═╝░░░╚═╝░░╚═╝
    ░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░
    █████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗█████╗
    ╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝╚════╝
    ░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░

*/

#include <bits/stdc++.h>

using namespace std;

#define fi          first
#define se          second
#define pb          push_back
#define mp          make_pair
#define all(x)      x.begin(), x.end()
#define ll          long long
#define pll         pair<ll, ll>
#define vll         vector<long long>
#define inf         1e18
#define gcd(a, b)   __gcd(a, b)
#define range(a,b)  substr(a,b-a+1)
#define fori(a, n)  for (ll i = a; i < n; i++)
#define forj(a, n)  for (ll j = a; j < n; j++)
#define fork(a, n)  for (ll k = a; k < n; k++)
#define print(x)    for (auto i : x) {cout << i << " ";}
#define FIO         ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)

template <class T>
bool comp(T a, T b) {
    if (a < b)
        return true;
    return false;
}

int main()
{
    FIO;

    #ifndef ONLINE_JUDGE
    //remove this piece of code when this has to be submitted in kickstart, coding ninjas
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
    //freopen is used to associate a file with stdin or stdout stream in C++
    #endif

    ll t;
    cin >> t;
    while (t--) {
        ll n, temp, count_1 = 0, count_2 = 0, count_3 = 0, suma = 0;
        cin >> n;
        vll arr(n);
        fori(0, n) {
            cin >> temp;
            arr[i] = temp % 3;
            if (arr[i] == 0)
                count_3++;
            else if (arr[i] == 1)
                count_1++;
            else
                count_2++;
            suma += arr[i];
        }
        if (count_1 == count_2)
            cout << count_1 << "\n";
        else if (suma % 3 != 0)
            cout << -1 << "\n";
        else {
            ll mina = min(count_1, count_2);
            count_1 -= mina;
            count_2 -= mina;
            if (count_1 == 0 && count_2 == 0)
                cout << 0 << "\n";
            else if (count_1 == 0 || count_2 == 0) {
                if ((count_1 + count_2) % 3 == 0)
                    cout << mina + 2 * ((count_1 + count_2) / 3) << "\n";
                else
                    cout << -1 << "\n";
            }
        }
    }

    return 0;
}