use std::cmp::*;
use std::io::*;
const MOD: i64 = 1_000_000_007;

fn main() {
    let mut s: String = String::new();
    std::io::stdin().read_to_string(&mut s).ok();
    let mut itr = s.trim().split_whitespace();
    let n: usize = itr.next().unwrap().parse().unwrap();
    let a: Vec<i64> = (0..n)
        .map(|_| itr.next().unwrap().parse().unwrap())
        .collect();

    let mp = |mut x: i64, mut e: i64| -> i64 {
        let mut res = 1;
        while e > 0 {
            if e & 1 == 1 {
                res = res * x % MOD;
            }
            x = x * x % MOD;
            e >>= 1;
        }
        res
    };

    let mut s = vec![0i64; n + 1];
    let mut t = vec![0i64; n + 1];
    let mut r = 0;
    let mut now = 1;
    for l in 0..n {
        while r < n && now * a[r] < 1_000_000_000 {
            now *= a[r];
            r += 1;
        }
        s[l] += 1;
        s[r] -= 1;
        t[l] = (r - l) as i64;

        if l == r {
            r += 1;
        }
        now /= a[l];
    }

    for i in 0..n {
        s[i + 1] += s[i];
    }
    for i in 1..n {
        s[i - 1] -= t[i];
    }
    for i in (1..=n).rev() {
        s[i - 1] += s[i];
    }

    let mut ans = 1;
    for i in 0..n {
        ans = ans * mp(a[i], s[i]) % MOD;
    }
    println!("{}", ans);
}