// ---------- begin ModInt ---------- const MOD: u32 = 1_000_000_007; #[derive(Clone, Copy)] struct ModInt(u32); impl std::ops::Add for ModInt { type Output = ModInt; fn add(self, rhs: ModInt) -> Self::Output { let mut d = self.0 + rhs.0; if d >= MOD { d -= MOD; } ModInt(d) } } impl std::ops::AddAssign for ModInt { fn add_assign(&mut self, rhs: ModInt) { *self = *self + rhs; } } impl std::ops::Sub for ModInt { type Output = ModInt; fn sub(self, rhs: ModInt) -> Self::Output { let mut d = self.0 + MOD - rhs.0; if d >= MOD { d -= MOD; } ModInt(d) } } impl std::ops::SubAssign for ModInt { fn sub_assign(&mut self, rhs: ModInt) { *self = *self - rhs; } } impl std::ops::Mul for ModInt { type Output = ModInt; fn mul(self, rhs: ModInt) -> Self::Output { ModInt((self.0 as u64 * rhs.0 as u64 % MOD as u64) as u32) } } impl std::ops::MulAssign for ModInt { fn mul_assign(&mut self, rhs: ModInt) { *self = *self * rhs; } } impl std::ops::Neg for ModInt { type Output = ModInt; fn neg(self) -> Self::Output { ModInt(if self.0 == 0 {0} else {MOD - self.0}) } } /* impl std::fmt::Display for ModInt { fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { write!(f, "{}", self.0) } } */ #[allow(dead_code)] impl ModInt { pub fn new(n: u32) -> ModInt { ModInt(n % MOD) } pub fn zero() -> ModInt { ModInt(0) } pub fn one() -> ModInt { ModInt(1) } pub fn pow(self, mut n: u32) -> ModInt { let mut t = ModInt::one(); let mut s = self; while n > 0 { if n & 1 == 1 { t *= s; } s *= s; n >>= 1; } t } pub fn inv(self) -> ModInt { self.pow(MOD - 2) } pub fn comb(n: u32, k: u32) -> ModInt { if k > n { return ModInt::zero(); } let k = std::cmp::min(k, n - k); let mut nu = ModInt::one(); let mut de = ModInt::one(); for i in 0..k { nu *= ModInt(n - i); de *= ModInt(i + 1); } nu * de.inv() } } #[allow(dead_code)] struct Precalc { inv: Vec, fact: Vec, ifact: Vec, } #[allow(dead_code)] impl Precalc { pub fn new(n: usize) -> Precalc { let mut inv = vec![ModInt::one(); n + 1]; let mut fact = vec![ModInt::one(); n + 1]; let mut ifact = vec![ModInt::one(); n + 1]; for i in 2..(n + 1) { inv[i] = -inv[MOD as usize % i] * ModInt(MOD / i as u32); fact[i] = fact[i - 1] * ModInt(i as u32); ifact[i] = ifact[i - 1] * inv[i]; } Precalc { inv: inv, fact: fact, ifact: ifact, } } pub fn inv(&self, n: usize) -> ModInt { self.inv[n] } pub fn fact(&self, n: usize) -> ModInt { self.fact[n] } pub fn ifact(&self, n: usize) -> ModInt { self.ifact[n] } pub fn comb(&self, n: usize, k: usize) -> ModInt { if k > n { return ModInt::zero(); } self.fact[n] * self.ifact[k] * self.ifact[n - k] } } // ---------- end ModInt ---------- // ---------- begin Matrix ---------- #[allow(dead_code)] mod matrix { use std::ops::{Add, Mul}; pub trait SemiRing: Add + Mul + Copy { fn zero() -> Self; fn one() -> Self; } pub const SIZE: usize = 6; #[derive(Clone)] pub struct SquareMatrix { a: [[T; SIZE]; SIZE], } impl SquareMatrix { pub fn zero() -> Self { let z = T::zero(); SquareMatrix { a: [[z; SIZE]; SIZE], } } pub fn identity() -> Self { let mut m = Self::zero(); for i in 0..SIZE { m.a[i][i] = T::one(); } m } pub fn set_at(&mut self, i: usize, j: usize, v: T) { self.a[i][j] = v; } pub fn get_at(&self, i: usize, j: usize) -> T { self.a[i][j] } pub fn matmul(l: &Self, r: &Self) -> Self { let mut x = Self::zero(); for i in 0..SIZE { for k in 0..SIZE { let a = l.a[i][k]; for (c, b) in x.a[i].iter_mut().zip(r.a[k].iter()) { *c = *c + a * *b; } } } x } pub fn matadd(l: &Self, r: &Self) -> Self { let mut c = Self::zero(); for i in 0..SIZE { for j in 0..SIZE { c.a[i][j] = l.a[i][j] + r.a[i][j]; } } c } } impl Add for SquareMatrix { type Output = Self; fn add(self, rhs: Self) -> Self { Self::matadd(&self, &rhs) } } impl Mul for SquareMatrix { type Output = Self; fn mul(self, rhs: Self) -> Self { Self::matmul(&self, &rhs) } } } // ---------- end Matrix ---------- use std::io::Read; use matrix::*; impl SemiRing for ModInt { fn zero() -> Self { ModInt(0) } fn one() -> Self { ModInt(1) } } fn run() { let mut s = String::new(); std::io::stdin().read_line(&mut s).unwrap(); let n: u64 = s.trim().parse().unwrap(); let m = 6; let mut t = SquareMatrix::identity(); let mut s = SquareMatrix::zero(); for i in 1..m { s.set_at(i, i - 1, ModInt(1)); } s.set_at(0, 0, ModInt(1)); s.set_at(0, 1, ModInt(1)); s.set_at(0, 2, ModInt(0)); s.set_at(0, 3, -ModInt(1)); s.set_at(0, 4, -ModInt(1)); s.set_at(0, 5, ModInt(1)); let mut n = n - 4; while n > 0 { if n & 1 == 1 { t = t * s.clone(); } s = s.clone() * s; n >>= 1; } let ans = t.get_at(0, 0); println!("{}", ans.0); } fn main() { run(); }