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OI-codes/AcWing/870/870.cpp

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#include <bits/stdc++.h>
using namespace std;
const int mod = 1000000007;
int n, x;
long long ans = 1;
int main() {
cin >> n;
map<int, int> primes;
while (n--) {
cin >> x;
for (int i = 2; i * i <= x; i++) {
while (x % i == 0) {
x /= i;
primes[i]++;
}
}
primes[x] += x > 1;
}
for (auto p : primes) {
ans = ans * (p.second + 1) % mod;
}
cout << ans << endl;
return 0;
}