// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#[allow(unused_imports)]
use itertools::Itertools;
#[allow(unused_imports)]
use num::*;
use proconio::input;
#[allow(unused_imports)]
use proconio::marker::*;
#[allow(unused_imports)]
use std::collections::*;

#[derive(Copy, Clone, Debug, Eq, PartialEq)]
pub struct ModInt(u32);

impl ModInt {
  pub const MOD: u32 = 1_000_000_007;

  pub fn inv(self) -> Self {
    if self.0 == 0 {
      panic!();
    }
    self.pow(Self::MOD - 2)
  }

  pub fn pow(self, e: u32) -> Self {
    if e == 0 {
      return Self::new(1);
    }
    let mut res = self.pow(e >> 1);
    res *= res;
    if e & 1 == 1 {
      res *= self;
    }
    res
  }

  fn new(n: i64) -> Self {
    let mut n = n % (Self::MOD as i64);
    if n.is_negative() {
      n += Self::MOD as i64;
    }
    Self(n as u32)
  }
}

impl From<i32> for ModInt {
  fn from(n: i32) -> Self {
    ModInt::from(n as i64)
  }
}

impl From<i64> for ModInt {
  fn from(n: i64) -> Self {
    Self::new(n)
  }
}

impl From<isize> for ModInt {
  fn from(n: isize) -> Self {
    ModInt::from(n as i64)
  }
}

impl From<u32> for ModInt {
  fn from(n: u32) -> Self {
    ModInt::from(n as u64)
  }
}

impl From<u64> for ModInt {
  fn from(n: u64) -> Self {
    Self::new(n as i64)
  }
}

impl From<usize> for ModInt {
  fn from(n: usize) -> Self {
    ModInt::from(n as u64)
  }
}

impl Into<i32> for ModInt {
  fn into(self) -> i32 {
    self.0 as i32
  }
}

impl Into<i64> for ModInt {
  fn into(self) -> i64 {
    self.0 as i64
  }
}

impl Into<isize> for ModInt {
  fn into(self) -> isize {
    self.0 as isize
  }
}

impl Into<u32> for ModInt {
  fn into(self) -> u32 {
    self.0
  }
}

impl Into<u64> for ModInt {
  fn into(self) -> u64 {
    self.0 as u64
  }
}

impl Into<usize> for ModInt {
  fn into(self) -> usize {
    self.0 as usize
  }
}

impl std::fmt::Display for ModInt {
  fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
    write!(f, "{}", self.0)
  }
}

impl std::ops::Add for ModInt {
  type Output = Self;

  fn add(self, rhs: Self) -> Self {
    Self::new((self.0 + rhs.0) as i64)
  }
}

impl std::ops::AddAssign for ModInt {
  fn add_assign(&mut self, rhs: Self) {
    *self = *self + rhs;
  }
}

impl std::ops::Div for ModInt {
  type Output = Self;

  fn div(self, rhs: Self) -> Self {
    self * rhs.inv()
  }
}

impl std::ops::DivAssign for ModInt {
  fn div_assign(&mut self, rhs: Self) {
    *self = *self / rhs;
  }
}

impl std::ops::Mul for ModInt {
  type Output = Self;

  fn mul(self, rhs: Self) -> Self {
    Self::new((self.0 as i64) * (rhs.0 as i64))
  }
}

impl std::ops::MulAssign for ModInt {
  fn mul_assign(&mut self, rhs: Self) {
    *self = *self * rhs;
  }
}

impl std::ops::Sub for ModInt {
  type Output = Self;

  fn sub(self, rhs: Self) -> Self {
    Self::new((self.0 as i64) - (rhs.0 as i64))
  }
}

impl std::ops::SubAssign for ModInt {
  fn sub_assign(&mut self, rhs: Self) {
    *self = *self - rhs;
  }
}

pub struct ModComb {
  max: usize,
  fac: Vec<ModInt>,
  finv: Vec<ModInt>,
}

impl ModComb {
  pub fn new(max: usize) -> Self {
    let mut fac = vec![ModInt::from(0); max + 1];
    let mut finv = vec![ModInt::from(0); max + 1];
    let mut inv = vec![ModInt::from(0); max + 1];
    fac[0] = ModInt::from(1);
    fac[1] = ModInt::from(1);
    finv[0] = ModInt::from(1);
    finv[1] = ModInt::from(1);
    inv[1] = ModInt::from(1);
    let modulo = ModInt::MOD as usize;
    for i in 2..=max {
      fac[i] = fac[i - 1] * ModInt::from(i);
      inv[i] = ModInt::from(ModInt::from(modulo) - (inv[modulo % i] * ModInt::from(modulo / i)));
      finv[i] = finv[i - 1] * inv[i]
    }
    Self { max, fac, finv }
  }

  pub fn comb(&self, n: usize, k: usize) -> ModInt {
    if n > self.max {
      panic!();
    }
    if n < k {
      return ModInt::from(0);
    }
    self.fac[n] * self.finv[k] * self.finv[n - k]
  }
}

fn main() {
  input! {
    n: usize,
    av: [usize; n + 1]
  };

  let f = || {
    let mut map = HashMap::new();
    for (i, a) in av.iter().enumerate() {
      let i = i + 1;
      if let Some(&p) = map.get(a) {
        return (p, i);
      } else {
        map.insert(*a, i);
      }
    }
    unreachable!();
  };
  let (l, r) = f();

  let comb = ModComb::new(n + 1);
  for k in 1..=n + 1 {
    let c1 = comb.comb(n + 1, k);
    let c2 = comb.comb(l - 1 + (n + 1 - r), k - 1);
    println!("{}", c1 - c2);
  }
}
*/

fn main() {
    let exe = "/tmp/bin5C9606D1";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAEANAAAAAAABAAAAAAAAAAGCiAwAAAAAAAAAAAEAAOAAGAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAEIIDAAAAAAAQggMAAAAAAAAAIAAAAAAA
AQAAAAYAAAAAiQMAAAAAAACJYwAAAAAAAIljAAAAAADYGAAAAAAAAEg0AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAACJAwAAAAAAAIljAAAAAAAAiWMAAAAAADAAAAAAAAAA6AAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
DDgDAAAAAAAMOEMAAAAAAAw4QwAAAAAAHAoAAAAAAAAcCgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAACJAwAAAAAA
AIljAAAAAAAAiWMAAAAAAAAXAAAAAAAAABcAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAABBV0FW
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AQAAAAIAAAAAAAAADDhDAAAAAAAMOAMAAAAAABwKAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAA
MwAAAAEAAHACAAAAAAAAAChCQwAAAAAAKEIDAAAAAADoPwAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAA
AAAAAD0AAAABAAAAAwQAAAAAAAAAiWMAAAAAAACJAwAAAAAAMAAAAAAAAAAAAAAAAAAAACAAAAAAAAAA
AAAAAAAAAABEAAAACAAAAAMEAAAAAAAAQIljAAAAAAAwiQMAAAAAAKgAAAAAAAAAAAAAAAAAAAAgAAAA
AAAAAAAAAAAAAAAASgAAAAEAAAADAAAAAAAAAECJYwAAAAAAQIkDAAAAAADwFAAAAAAAAAAAAAAAAAAA
IAAAAAAAAAAAAAAAAAAAAFcAAAABAAAAAwAAAAAAAAAwnmMAAAAAADCeAwAAAAAA0AEAAAAAAAAAAAAA
AAAAAAgAAAAAAAAACAAAAAAAAABcAAAAAQAAAAMAAAAAAAAAAKBjAAAAAAAAoAMAAAAAANgBAAAAAAAA
AAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAYgAAAAgAAAADAAAAAAAAAOChYwAAAAAA2KEDAAAAAABoGwAA
AAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAGcAAAABAAAAMAAAAAAAAAAAAAAAAAAAANihAwAAAAAA
EQAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAAABAAAAAwAAAAAAAAAAAAAAAAAAAAAAAADpoQMA
AAAAAHAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAA
";


Measured memory_bytes: 9360