const MOD: u128 = 1e9 as u128 + 7; fn power(base: u128, times: u128) -> u128 { if times == 0 { return 1u128; } if times == 1 { return base; } 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(a, b) * b } fn main() { let mut t = String::new(); std::io::stdin().read_line(&mut t).ok(); let t: usize = t.trim().parse().unwrap(); let queries = (0..t).map(|_| { 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(); (temp[0], temp[1], temp[2], temp[3], temp[4], temp[5], temp[6]) }) .collect::>(); for &(n, ag, bg, ac, bc, ap, bp) in queries.iter() { let lcmval = lcm(bg, lcm(bc, bp)); let ag = lcmval / bg * ag; let ac = lcmval / bc * ac; let ap = lcmval / bp * ap; let ag_only = power(ag % MOD, n); let ac_only = power(ac % MOD, n); let ap_only = power(ap % MOD, n); let gc_pat = power((ag + ac) % MOD, n); let cp_pat = power((ac + ap) % MOD, n); let pg_pat = power((ap + ag) % MOD, n); let c_pat = MOD * 6 + gc_pat + cp_pat + pg_pat - 2*ag_only - 2*ac_only - 2*ap_only; let c_pat = c_pat % MOD; let result = (MOD + 1 - c_pat * power(power(lcmval, MOD-2) % MOD, n) % MOD) % MOD; println!("{}", result); } }