const DIVISOR: u64 = 1_000_000_007; fn power(base: u64, p: u64) -> u64 { if p == 0 { return 1u64; } if p == 1 { return base; } let temp = power(base, p / 2); temp * temp % DIVISOR * power(base, p % 2) % DIVISOR } fn combs(n: u64, r: u64, nums: &Vec, dens: &Vec) -> u64 { nums[n as usize] * dens[n as usize - r as usize] % DIVISOR * dens[r as usize] % DIVISOR } fn calc_nk(n: u64, k: u64, a: u64, b: u64, inv_n: u64, nums: &Vec, dens: &Vec) -> u64 { let nk_temp = combs(n, k-1, nums, dens) * inv_n % DIVISOR; let nk_val = nk_temp * a % DIVISOR * (n+1-k) % DIVISOR + nk_temp * b % DIVISOR * (k-1) % DIVISOR; nk_val % DIVISOR } fn main() { let mut ab = String::new(); std::io::stdin().read_line(&mut ab).ok(); let ab: Vec = ab.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let a = ab[0] % DIVISOR; let b = ab[1] % DIVISOR; let mut nk = String::new(); std::io::stdin().read_line(&mut nk).ok(); let nk: Vec = nk.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let n = nk[0]; let k = nk[1]; let mut nums: Vec = vec![1; n as usize + 1]; let mut dens: Vec = vec![1; n as usize + 1]; for i in 1..=(n as usize) { nums[i] = nums[i-1] * i as u64; nums[i] %= DIVISOR; dens[i] = dens[i-1] * power(i as u64, DIVISOR-2); dens[i] %= DIVISOR; } let inv_n: u64 = power(n, DIVISOR-2); let mut summary = a * a % DIVISOR + b * b % DIVISOR; summary %= DIVISOR; for i in 2..=n { let temp = calc_nk(n, i, a, b, inv_n, &nums, &dens); summary += temp * temp; summary %= DIVISOR; } println!("{}", calc_nk(n, k, a, b, inv_n, &nums, &dens)); println!("{}", summary); }