const MOD: u128 = 1e9 as u128 + 7; fn power(base: u128, times: u128) -> u128 { if times == 0 { return 1u128; } if times == 1 { return base % MOD; } let temp = power(base, times/2); temp * temp % MOD * power(base, times%2) % MOD } fn gcd(a: u128, b: u128) -> u128 { if b == 0 { return a; } gcd(b, a%b) } fn lcm(a: u128, b: u128) -> u128 { a / gcd(b, a%b) * b } fn solve() -> u128 { let mut temp = String::new(); std::io::stdin().read_line(&mut temp).ok(); let temp: Vec = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let n = temp[0]; let ag = temp[1]; let bg = temp[2]; let ac = temp[3]; let bc = temp[4]; let ap = temp[5]; let bp = temp[6]; let denom = lcm(lcm(bg, bc), bp); let ag = denom / bg * ag; let ac = denom / bc * ac; let ap = denom / bp * ap; let invs = 6*MOD + power(ag + ac, n) + power(ac + ap, n) + power(ap + ag, n) - 2*power(ag, n) - 2*power(ac, n) - 2*power(ap, n); let result = MOD + 1 - invs % MOD * power(power(denom, MOD-2), n) % MOD; result % MOD } fn main() { let mut t = String::new(); std::io::stdin().read_line(&mut t).ok(); let t: usize = t.trim().parse().unwrap(); let mut result = Vec::with_capacity(t); for _ in 0..t { result.push(solve()); } for &v in result.iter() { println!("{}", v); } }