#[doc = " https://github.com/hatoo/competitive-rust-snippets"]
#[allow(unused_imports)]
use std::cmp::{max, min, Ordering};
#[allow(unused_imports)]
use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque};
#[allow(unused_imports)]
use std::io::{stdin, stdout, BufWriter, Write};
#[allow(unused_imports)]
use std::iter::FromIterator;
#[allow(unused_macros)]
macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } }
#[macro_export]
macro_rules ! input { ( source = $ s : expr , $ ( $ r : tt ) * ) => { let mut parser = Parser :: from_str ( $ s ) ; input_inner ! { parser , $ ( $ r ) * } } ; ( parser = $ parser : ident , $ ( $ r : tt ) * ) => { input_inner ! { $ parser , $ ( $ r ) * } } ; ( new_stdin_parser = $ parser : ident , $ ( $ r : tt ) * ) => { let stdin = std :: io :: stdin ( ) ; let reader = std :: io :: BufReader :: new ( stdin . lock ( ) ) ; let mut $ parser = Parser :: new ( reader ) ; input_inner ! { $ parser , $ ( $ r ) * } } ; ( $ ( $ r : tt ) * ) => { input ! { new_stdin_parser = parser , $ ( $ r ) * } } ; }
#[macro_export]
macro_rules ! input_inner { ( $ parser : ident ) => { } ; ( $ parser : ident , ) => { } ; ( $ parser : ident , $ var : ident : $ t : tt $ ( $ r : tt ) * ) => { let $ var = read_value ! ( $ parser , $ t ) ; input_inner ! { $ parser $ ( $ r ) * } } ; }
#[macro_export]
macro_rules ! read_value { ( $ parser : ident , ( $ ( $ t : tt ) ,* ) ) => { ( $ ( read_value ! ( $ parser , $ t ) ) ,* ) } ; ( $ parser : ident , [ $ t : tt ; $ len : expr ] ) => { ( 0 ..$ len ) . map ( | _ | read_value ! ( $ parser , $ t ) ) . collect ::< Vec < _ >> ( ) } ; ( $ parser : ident , chars ) => { read_value ! ( $ parser , String ) . chars ( ) . collect ::< Vec < char >> ( ) } ; ( $ parser : ident , usize1 ) => { read_value ! ( $ parser , usize ) - 1 } ; ( $ parser : ident , $ t : ty ) => { $ parser . next ::<$ t > ( ) . expect ( "Parse error" ) } ; }
use std::io;
use std::io::BufRead;
use std::str;
pub struct Parser<R> {
    reader: R,
    buf: Vec<u8>,
    pos: usize,
}
impl Parser<io::Empty> {
    pub fn from_str(s: &str) -> Parser<io::Empty> {
        Parser {
            reader: io::empty(),
            buf: s.as_bytes().to_vec(),
            pos: 0,
        }
    }
}
impl<R: BufRead> Parser<R> {
    pub fn new(reader: R) -> Parser<R> {
        Parser {
            reader: reader,
            buf: vec![],
            pos: 0,
        }
    }
    pub fn update_buf(&mut self) {
        self.buf.clear();
        self.pos = 0;
        loop {
            let (len, complete) = {
                let buf2 = self.reader.fill_buf().unwrap();
                self.buf.extend_from_slice(buf2);
                let len = buf2.len();
                if len == 0 {
                    break;
                }
                (len, buf2[len - 1] <= 0x20)
            };
            self.reader.consume(len);
            if complete {
                break;
            }
        }
    }
    pub fn next<T: str::FromStr>(&mut self) -> Result<T, T::Err> {
        loop {
            let mut begin = self.pos;
            while begin < self.buf.len() && (self.buf[begin] <= 0x20) {
                begin += 1;
            }
            let mut end = begin;
            while end < self.buf.len() && (self.buf[end] > 0x20) {
                end += 1;
            }
            if begin != self.buf.len() {
                self.pos = end;
                return str::from_utf8(&self.buf[begin..end]).unwrap().parse::<T>();
            } else {
                self.update_buf();
            }
        }
    }
}
#[allow(unused_macros)]
macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } }
#[doc = " https://github.com/hatoo/competitive-rust-snippets"]
const BIG_STACK_SIZE: bool = true;
#[allow(dead_code)]
fn main() {
    use std::thread;
    if BIG_STACK_SIZE {
        thread::Builder::new()
            .stack_size(32 * 1024 * 1024)
            .name("solve".into())
            .spawn(solve)
            .unwrap()
            .join()
            .unwrap();
    } else {
        solve();
    }
}
fn solve() {
    input! {
        N: usize,
        A: [usize; N+1],
    }
    let mut count = vec![0; N+1];
    let mut dup_a = 0;
    for a in A.clone() {
        count[a] += 1;
        if count[a] == 2 {
            dup_a = a;
        }
    }
    // dbg!(dup_a);
    let mut dup_i = vec![];
    for i in 0..N+1 {
        if A[i] == dup_a {
            dup_i.push(i+1);
        }
    }
    // dbg!(&dup_i);
    let A = dup_i[0];
    let B = dup_i[1];
    let p: usize = 1_000_000_007;
    let modcomb = ModComb::new(N+1, p);
    for k in 1..N+2 {
        let res = p + modcomb.nCk(N+1, k) - modcomb.nCk((A-1)+(N+1-B), k-1);
        let res = (res+p) % p;
        println!("{}", res);
    }
}
pub fn modpow(x: usize, n: usize, m: usize) -> usize {
    let mut res = 1;
    let mut x = x % m;
    let mut n = n;
    while n > 0 {
        if n & 1 == 1 {
            res = (res * x) % m;
        }
        x = (x * x) % m;
        n >>= 1;
    }
    res
}
struct ModComb {
    po: Vec<usize>,
    inv: Vec<usize>,
    n: usize,
    p: usize,
}
impl ModComb {
    // O(N)
    fn initialize(ft: &mut Self) {
        let n = ft.n as usize;

        ft.po[0] = 1;
        for i in 1..n {
            ft.po[i] = (ft.po[i-1] * i) % ft.p;
        }
        ft.inv[n-1] = modpow(ft.po[n-1], ft.p-2, ft.p);
        for i in (0..n-1).rev() {
            ft.inv[i] = (ft.inv[i+1] * (i+1)) % ft.p;
        }
    }
    fn new(max_n: usize, p: usize) -> ModComb {
        // nHk needs twice the length of the max_n.
        // since it doesn't affect the computational order, we always double the number for convenience.
        let mut ft = ModComb {
            po: vec![0; max_n+1 as usize],
            inv: vec![0; max_n+1 as usize],
            n: max_n+1,
            p: p,
        };
        Self::initialize(&mut ft);
        ft
    }
    fn nCk(&self, n: usize, k: usize) -> usize {
        if n < k { return 0; }
        (self.nPk(n,k) * self.inv[k as usize]) % self.p 
    }
    fn nPk(&self, n: usize, k: usize) -> usize {
        if n < k { return 0; }
        self.po[n as usize] * self.inv[(n-k) as usize] % self.p
    }
    fn nHk(&self, n: usize, k: usize) -> usize {
        if n==0 && k==0 { return 1 }
        self.nCk(n+k-1,k)
    }
}

Measured memory_bytes: 13564