Длинное условие

#define _USE_MATH_DEFINES
#include <iostream>
#include <conio.h>
#include <string>
#include <math.h>
#include <algorithm>
#include <vector>
#include <cmath>
#include <set>

using namespace std;

int fact(long long n, long long i)
{
    long long prom = 1;
    if (n != 0 && i!=0)
    {
        for (long long j = i; j <= n; j++)
            prom *= j;
    }
    return prom;
}
int main()
{
    long long prom;
    long long sc[4]{ 0,0,0,0 };
    long long n;

    cin >> n;
    for (long long i = 1; i <= n; i++)
    {
        cin >> prom;
        sc[prom]++;
    }
    sort(sc + 1, sc + 1 + 3);
    if (n < 6)
    {
        prom = 1;
        for (long long i = 1; i <= 2; i++)
            prom = prom * fact(sc[i], 2);

        if (fact(n, sc[3] + 1) >= 6 * prom)
            cout << "Yes";
        else
            cout << "No";
    }
    else
        if (sc[3] == n)
            cout << "No";
        else
            cout << "Yes";

    return 0;
}