// -*- coding:utf-8-unix -*- // #![feature(map_first_last)] #![allow(dead_code)] #![allow(unused_imports)] #![allow(unused_macros)] use std::collections::*; use std::convert::*; use std::convert::{From, Into}; use std::fmt::Debug; use std::fs::File; use std::io::prelude::*; use std::io::*; use std::marker::Copy; use std::mem::*; use std::ops::Bound::*; use std::ops::{Add, Mul, Neg, Sub}; use std::str; use std::vec; use std::{cmp, process::Output}; use std::{cmp::Ordering, env::consts::DLL_PREFIX}; use std::{cmp::Ordering::*, f32::consts::PI}; const INF: i64 = 1223372036854775807; const UINF: usize = INF as usize; const FINF: f64 = 122337203685.0; const INF128: i128 = 1223372036854775807000000000000; const LINF: i64 = 2147483647; const MOD: i64 = 1000000007; // const MOD: i64 = 998244353; // const MOD: i64 = INF; const UMOD: usize = MOD as usize; use std::cmp::*; use std::collections::*; use std::io::stdin; use std::io::stdout; use std::io::Write; macro_rules! p { ($x:expr) => { println!("{}", $x); }; } macro_rules! d { ($x:expr) => { println!("{:?}", $x); }; } macro_rules! dd { (x:expr) => { dbg!(x); }; } // use str::Chars; // use str::Chars; #[allow(dead_code)] fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } #[allow(dead_code)] fn readi() -> (i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); iter.next().unwrap().parse::().unwrap() } #[allow(dead_code)] fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() } #[allow(dead_code)] fn read_vec2(n: u32) -> Vec> { (0..n).map(|_| read_vec()).collect() } #[allow(dead_code)] fn readii() -> (i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readff() -> (f64, f64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readiii() -> (i64, i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuu() -> (usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readcc() -> (char, char) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuuu() -> (usize, usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuuuu() -> (usize, usize, usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readiiii() -> (i64, i64, i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } pub mod matrix { #[derive(Clone)] pub struct Matrix { pub v: Vec>, } impl Matrix { pub fn identity(n: usize) -> Self { let mut v = vec![vec![0; n]; n]; for i in 0..n { v[i][i] = 1; } Matrix { v: v } } pub fn m(&self) -> usize { self.v.len() } pub fn n(&self) -> usize { self.v[0].len() } pub fn mul_rem(&self, other: &Self, mo: i64) -> Self { assert!(self.n() == other.m()); let K = self.n(); let M = self.m(); let N = other.n(); let mut r = vec![vec![0; N]; M]; for i in 0..M { for j in 0..N { let mut v = 0; for k in 0..K { v += self.v[i][k] * other.v[k][j] % mo; v %= mo; } r[i][j] = v; } } Matrix { v: r } } pub fn pow(&self, k: u64, mo: i64) -> Self { assert!(self.m() == self.n()); let mut k = k; let mut x = Self::identity(self.m()); let mut y = self.clone(); while k > 0 { if k & 1 > 0 { x = y.clone() * x; x %= mo; } y = y.mul_rem(&y, mo); y %= mo; k >>= 1; } x } } use std::ops::*; impl Add for Matrix { type Output = Self; fn add(self, other: Self) -> Self { let mut r = self.v.clone(); for i in 0..self.m() { for j in 0..self.n() { r[i][j] += other.v[i][j]; } } Matrix { v: r } } } impl Sub for Matrix { type Output = Self; fn sub(self, other: Self) -> Self { let mut r = self.v.clone(); for i in 0..self.m() { for j in 0..self.n() { r[i][j] -= other.v[i][j]; } } Matrix { v: r } } } impl Mul for Matrix { type Output = Self; fn mul(self, other: Self) -> Self { assert!(self.n() == other.m()); let K = self.n(); let M = self.m(); let N = other.n(); let mut r = vec![vec![0; N]; M]; for i in 0..M { for j in 0..N { let mut v = 0; for k in 0..K { v += self.v[i][k] * other.v[k][j]; v %= 1000000007; } r[i][j] = v; } } Matrix { v: r } } } impl Rem for Matrix { type Output = Self; fn rem(self, mo: i64) -> Self { let mut r = self.v.clone(); for i in 0..self.m() { for j in 0..self.n() { r[i][j] %= mo; } } Matrix { v: r } } } impl RemAssign for Matrix { fn rem_assign(&mut self, mo: i64) { for i in 0..self.m() { for j in 0..self.n() { self.v[i][j] %= mo; } } } } } // #[snippet("Matrix")] // #[test] // fn test_matrix_pow() { // let x = Matrix { // v: vec![ // vec![1,2], // vec![3,4] // ] // }; // let x3 = x.clone() * x.clone() * x.clone(); // assert_eq!(x.pow(3, std::i64::MAX).v, x3.v); // } pub type Matrix = matrix::Matrix; fn solve() { let (n, k, l) = readuuu(); let mut mat = vec![vec![0; (n) as usize]; (n) as usize]; for i in 0..n { for j in 1..=l { let ni = (i + j) % n; mat[ni][i] += 1; } } let mut v = vec![vec![0; (1) as usize]; (n) as usize]; v[0][0] = 1 as i64; let mv = Matrix { v: v }; let mm = Matrix { v: mat }; let mmm = mm.pow(k as u64, MOD); let r = mmm * mv; for i in 0..n { p!(r.v[i][0]); } return; } fn main() { solve(); }