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 n = String::new(); std::io::stdin().read_line(&mut n).ok(); let n: usize = n.trim().parse().unwrap(); let mut cnts = String::new(); std::io::stdin().read_line(&mut cnts).ok(); let cnts: Vec = cnts.trim().split_whitespace().map(|s| s.parse().unwrap()).collect(); let mut cnt_sum = vec![0usize; 10]; for i in 0..9 { cnt_sum[i+1] = cnt_sum[i] + cnts[i]; } cnt_sum.remove(0); let mut p10s = vec![1usize; n]; for i in 0..n-1 { p10s[i+1] = p10s[i] * 10 % MOD; } let p10sum = p10s.iter().fold(0usize, |x, &y| (x + y) % MOD); let modn = power(n, MOD-2); let (facts, fact_invs) = fact_inv(n+10); let total_pattern = (0..9).map(|i| comb(cnt_sum[i], cnts[i], &facts, &fact_invs)).fold(1usize, |x, y| x * y % MOD); let mut result = 0usize; for i in 1..=9usize { let use_pattern = total_pattern * cnts[i-1] % MOD * modn % MOD; result += use_pattern * p10sum % MOD * i % MOD; } println!("{}", result % MOD); }