#[allow(unused_imports)] use std::cmp::*; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes.by_ref().map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr,) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } const MOD: i64 = 1_000_000_007; fn gcd(mut x: i64, mut y: i64) -> i64 { while y != 0 { let r = x % y; x = y; y = r; } x } fn powsum(a: i64, mut e: i64, mo: i64) -> (i64, i64) { let mut prod = 1; let mut sum = 0; let mut tmp = 1; let mut cur = a; while e > 0 { if e % 2 == 1 { sum = (sum + prod * tmp) % mo; prod = prod * cur % mo; } tmp = tmp * (cur + 1) % mo; cur = cur * cur % mo; e /= 2; } (prod, sum) } // Tags: sum-of-geometric-sequences fn main() { input! { n: i64, c: [i64; 9], } let pop = c.iter().filter(|&&x| x > 0).count(); if pop == 1 { let mut ans = powsum(10, n, MOD).1; for i in 1..10 { if c[i - 1] > 0 { ans *= i as i64; ans %= MOD; } } println!("{}", ans); return; } let mut g = 0; for i in 0..9 { for j in 0..9 { if c[i] > 0 && c[j] > 0 { g = gcd(g, (i as i64 - j as i64).abs()); } } } let mut sum = 0; for i in 1..10 { let (a, b) = powsum(10, c[i - 1], 9 * g); sum = (sum * a + b * i as i64) % (9 * g); } println!("{}", gcd(g * 9, sum)); }