const DIVISOR: u64 = 1_000_000_007; fn calc(a: Vec>, b: Vec>) -> Vec> { let length = 4usize; let mut result: Vec> = vec![vec![0; length]; length]; for i in 0..length { for j in 0..length { for k in 0..length { result[i][j] += a[i][k] * b[k][j]; result[i][j] %= DIVISOR; } } } result } fn power(val: Vec>, p: u64) -> Vec> { let I: Vec> = vec![vec![1, 0, 0, 0], vec![0, 1, 0, 0], vec![0, 0, 0, 1], vec![0, 0, 0, 1]]; let F: Vec> = vec![vec![0, 1, 1, 1], vec![1, 0, 1, 1], vec![1, 1, 1, 0], vec![1, 1, 1, 0]]; if p == 0 { return I; } if p == 1 { return F; } let temp = power(val, p/2); let temp2 = temp.clone(); let mut ret = calc(temp, temp2); if p % 2 == 1 { ret = calc(ret, F); } ret } fn main() { let mut n = String::new(); std::io::stdin().read_line(&mut n).ok(); let n: u64 = n.trim().parse().unwrap(); let F: Vec> = vec![vec![0, 1, 1, 1], vec![1, 0, 1, 1], vec![1, 1, 1, 0], vec![1, 1, 1, 0]]; let op = power(F, n); println!("{}", op[0][0]); }