const MOD: usize = 1e9 as usize + 7; fn power(base: usize, times: usize) -> usize { if times == 0 { return 1usize; } if times == 1 { return base; } let temp = power(base, times/2); temp * temp % MOD * power(base, times%2) % MOD } fn fact_inv(size: usize) -> (Vec, Vec) { let mut facts = vec![0usize; size+1]; let mut fact_invs = vec![0usize; size+1]; let mut invs = vec![0usize; size+1]; facts[0] = 1; facts[1] = 1; fact_invs[0] = 1; fact_invs[1] = 1; invs[1] = 1; for i in 2..=size { facts[i] = facts[i-1] * i % MOD; invs[i] = MOD - invs[MOD % i] * (MOD / i) % MOD; fact_invs[i] = fact_invs[i - 1] * invs[i] % MOD; } (facts, fact_invs) } fn comb(n: usize, r: usize, facts: &Vec, fact_invs: &Vec) -> usize { facts[n] * fact_invs[r] % MOD * fact_invs[n-r] % MOD } fn main() { let mut nm = String::new(); std::io::stdin().read_line(&mut nm).ok(); let nm: Vec = nm.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let n = nm[0]; let m = nm[1]; let (facts, fact_invs) = fact_inv(n+10); let mut result = 0usize; for (parity, i) in (1..=m).rev().enumerate() { if parity % 2 == 0 { result += power(i, n) * comb(m, i, &facts, &fact_invs); } else { result += MOD - power(i, n) * comb(m, i, &facts, &fact_invs) % MOD; } result %= MOD; } println!("{}", result); }