Help me in solving WAV2 problem

My issue

my approach for this question is

include
include
include

using namespace std;

int main() {
long long int N, Q;
cin >> N >> Q;

int roots[N];
for (int i = 0; i < N; i++) {
    cin >> roots[i];
}

while (Q--) {
    long long int x;
    cin >> x;
    long long product = 1;
    for(int i=0;i<N;i++){
        product *= x-roots[i];
    }

    if (product > 0) {
        cout << "POSITIVE" << endl;
    } else if (product < 0) {
        cout << "NEGATIVE" << endl;
    } else {
        cout << "0" << endl;
    }
}

return 0;

}

why I am getting TLE?

My code

#include <iostream>
#include <algorithm>
#include <vector>

using namespace std;

int main() {
    long long int N, Q;
    cin >> N >> Q;
    
    int roots[N];
    for (int i = 0; i < N; i++) {
        cin >> roots[i];
    }

    while (Q--) {
        long long int x;
        cin >> x;
        long long product = 1;
        for(int i=0;i<N;i++){
            product *= x-roots[i];
        }

        if (product > 0) {
            cout << "POSITIVE" << endl;
        } else if (product < 0) {
            cout << "NEGATIVE" << endl;
        } else {
            cout << "0" << endl;
        }
    }

    return 0;
}

Learning course: Binary Search
Problem Link: CodeChef: Practical coding for everyone

@kashish_428
your time complexity is O(n*Q) which will give u tle.
hint :- think of binary search and sorting .