// ---------- begin binary_gcd ---------- pub fn binary_gcd(a: u64, b: u64) -> u64 { if a == 0 || b == 0 { return a + b; } let x = a.trailing_zeros(); let y = b.trailing_zeros(); let mut a = a >> x; let mut b = b >> y; while a != b { let x = (a ^ b).trailing_zeros(); if a < b { std::mem::swap(&mut a, &mut b); } a = (a - b) >> x; } a << x.min(y) } // ---------- end binary_gcd ---------- // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- use std::io::Write; use std::collections::*; type Map = BTreeMap; type Set = BTreeSet; type Deque = VecDeque; const MOD: u64 = 1_000_000_007; fn calc(r: u64, n: u64, m: u64) -> u64 { if n == 1 { 1 % m } else if n % 2 == 0 { (1 + r) * calc(r * r % m, n / 2, m) % m } else { (1 + r * calc(r, n - 1, m)) % m } } fn pow_mod(mut r: u64, mut n: u64, m: u64) -> u64 { let mut t = 1 % m; while n > 0 { if n & 1 == 1 { t = t * r % m; } r = r * r % m; n >>= 1; } t } fn run() { input! { n: u64, c: [u64; 9], } let mut g = 0; for (i, a) in c.iter().enumerate() { for (j, b) in c.iter().enumerate().take(i) { if *a > 0 && *b > 0 { g = binary_gcd(g, 9 * (i - j) as u64); } } } let ans = if g == 0 { let x = c.iter().position(|c| *c > 0).unwrap(); (x + 1) as u64 * calc(10, c[x], MOD) % MOD } else { let mut val = 0; for (i, c) in c.iter().enumerate() { if *c > 0 { val = (val * pow_mod(10, *c, g) + calc(10, *c, g) * (i + 1) as u64) % g; } } binary_gcd(val, g) }; println!("{}", ans); } fn main() { run(); }