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

type Mint = kyopro_lib::modint::Mint1_000_000_007;

fn main() {
    input! {
        n: usize,
        a: [Usize1; n+1],
    }
    let mut t = vec![None; n];
    let (mut x, mut y) = (0,0);
    for i in 0..n+1 {
        if let Some(j) = t[a[i]] {
            x = j as u64;
            y = i as u64;
            break;
        }
        t[a[i]] = Some(i);
    }

    let n = n as u64;
    let (pos, neg) = Mint::gen_factorial(n);
    let bin = |n,r| {
        if n>=r {
            pos[n as usize] * neg[r as usize] * neg[(n-r) as usize]
        } else {
            Mint::new(0)
        }
    };

    let l = x;
    let m = y-x-1;
    let r = n-y;
    println!("{}", n); // k==1
    for k in 2..=n+1 {
        let mut res = Mint::new(0);
        // x == 1, o == other,
        // ox
        // res += bin(l+m, k-1);
        // xo
        // res += bin(m+r, k-1);
        // oxo
        res += bin(l+r, k-1);
        res += bin(n-1, k-1) 
            - bin(l+r, k-1);
        res += bin(n-1, k-1) 
            - bin(l+r, k-1);
        // oxoxo
        res += bin(n-1, k-2);
        // o
        res += bin(n-1, k);
        println!("{}", res.val());
    }
}
*/

fn main() {
    let exe = "/tmp/bin63EEB970";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAHCCAwAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA0GQDAAAAAADQZAMAAAAAAAAAIAAAAAAA
AQAAAAYAAABAagMAAAAAAEBqYwAAAAAAQGpjAAAAAACYFwAAAAAAAOgyAAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
QGoDAAAAAABAamMAAAAAAEBqYwAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAADMHwMA
AAAAAMwfQwAAAAAAzB9DAAAAAADUCQAAAAAAANQJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAQGoDAAAAAABAamMA
AAAAAEBqYwAAAAAAwBUAAAAAAADAFQAAAAAAAAEAAAAAAAAABAAAABQAAAADAAAAR05VAMHcJlvX1s48
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Measured memory_bytes: 10200