#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::Read; #[allow(dead_code)] fn getline() -> String { let mut ret = String::new(); std::io::stdin().read_line(&mut ret).ok().unwrap(); ret } fn get_word() -> String { let stdin = std::io::stdin(); let mut stdin=stdin.lock(); let mut u8b: [u8; 1] = [0]; loop { let mut buf: Vec = Vec::with_capacity(16); loop { let res = stdin.read(&mut u8b); if res.unwrap_or(0) == 0 || u8b[0] <= b' ' { break; } else { buf.push(u8b[0]); } } if buf.len() >= 1 { let ret = String::from_utf8(buf).unwrap(); return ret; } } } #[allow(dead_code)] fn get() -> T { get_word().parse().ok().unwrap() } fn squmul(a: &[Vec], b: &[Vec], mo: i64) -> Vec> { let n = a.len(); let mut ret = vec![vec![0; n]; n]; for i in 0..n { for j in 0..n { for k in 0..n { ret[i][k] += a[i][j] * b[j][k]; ret[i][k] %= mo; } } } ret } fn squpow(a: &[Vec], mut e: i64, mo: i64) -> Vec> { let n = a.len(); let mut sum = vec![vec![0; n]; n]; for i in 0..n { sum[i][i] = 1; } let mut cur = a.to_vec(); while e > 0 { if e % 2 == 1 { sum = squmul(&sum, &cur, mo); } cur = squmul(&cur, &cur, mo); e /= 2; } sum } fn solve() { let n: i64 = get(); const MOD: i64 = 1_000_000_007; let mut mat; if n % 2 == 0 { mat = vec![vec![0; 4]; 4]; for i in 0..2 { mat[i][2 * i + 1] += 1; mat[2 + i][2 * i] += 1; } mat[1][0] += 1; } else { mat = vec![vec![0; 8]; 8]; for j in 0..2 { for i in 0..2 { mat[4 * j + i][4 * j + 2 * i + 1] += 1; mat[4 * j + 2 + i][4 * j + 2 * i] += 1; } mat[4 * j + 1][4 * j] += 1; } for i in 0..2 { mat[i][4 + 2 * i] += 1; } } let pw = squpow(&mat, n, MOD); let ans = pw[0][4 * (n % 2) as usize]; println!("{}", ans); } fn main() { // In order to avoid potential stack overflow, spawn a new thread. let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); thd.spawn(|| solve()).unwrap().join().unwrap(); }