#[allow(unused_imports)] use std::cmp::{max, min}; #[allow(unused_imports)] use std::collections::{HashMap, HashSet}; mod util { use std::io::stdin; use std::str::FromStr; use std::fmt::Debug; #[allow(dead_code)] pub fn line() -> String { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); line.trim().to_string() } #[allow(dead_code)] pub fn get() -> T where ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); line.trim().parse().unwrap() } #[allow(dead_code)] pub fn gets() -> Vec where ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); line.split_whitespace() .map(|t| t.parse().unwrap()) .collect() } #[allow(dead_code)] pub fn get2() -> (T, U) where ::Err: Debug, ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); let mut iter = line.split_whitespace(); ( iter.next().unwrap().parse().unwrap(), iter.next().unwrap().parse().unwrap(), ) } #[allow(dead_code)] pub fn get3() -> (S, T, U) where ::Err: Debug, ::Err: Debug, ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); let mut iter = line.split_whitespace(); ( iter.next().unwrap().parse().unwrap(), iter.next().unwrap().parse().unwrap(), iter.next().unwrap().parse().unwrap(), ) } } #[allow(unused_macros)] macro_rules! debug { ($x: expr) => { println!("{}: {:?}", stringify!($x), $x) } } fn solve(n: u64, m: u64) -> u64 { let b = (1..).find(|&i| n >> i == 0).unwrap(); let mut a = 0; let mut i100 = 1; for i in 1..b + 1 { if n >> (b - i) & 1 == 1 { // succ a = (a * 100 + 1) % m; i100 = i100 * 100 % m; } // double if i != b { a = (a * i100 + a) % m; i100 = i100 * i100 % m; } } a } fn main() { let n: u64 = util::get::(); println!("{}", solve(n, 1000000007)); let m = n % 11; if m == 0 { println!("0"); } else { println!( "{}", vec!["1"] .into_iter() .chain((1..m).map(|_| "01")) .collect::>() .join("") ); } }