//https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 より
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

//

use std::io::Write;

fn run() {
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    input! {
        n: usize,
        k: usize,
        p: [usize; n],
    }
    let trans = |a: &[(usize, usize)], b: &[(usize, usize)]| -> Vec<(usize, usize)> {
        let mut ans = vec![(0, 0); a.len()];
        for (ans, a) in ans.iter_mut().zip(a.iter()) {
            let (x, y) = b[a.0];
            *ans = (x, y + a.1);
        }
        ans
    };
    let mut t = vec![(0, 0); n];
    let mut s = vec![(0, 0); n];
    for i in 0..n {
        t[i].0 = i;
        s[i].0 = (i + p[i]) % n;
        s[i].1 = p[i];
    }
    for i in 0..30 {
        if (k >> i) & 1 == 1 {
            t = trans(&t, &s);
        }
        s = trans(&s, &s);
    }
    for (i, a) in t.iter().enumerate() {
        writeln!(out, "{}", i + a.1 + 1).ok();
    }
}

fn main() {
    run();
}