// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use competitive::prelude::*;
#[modtype::use_modtype]
type F = modtype::F<1_000_000_007u64>;

#[proconio::fastout]
fn main() {
    input! {
        n: usize,
        k: usize,
        a: [i64; n],
    }
    let mut a = a;
    a.sort();
    let mut x = vec![F(0); n];
    for i in 0..n {
        x[i] = F((a[i] + 1_000_000_007_i64) as u64);
    }

    let mut fact = vec![F(0); n + 1];
    fact[0] = F(1);
    for i in 1..n + 1 {
        fact[i] = fact[i - 1] * F(i as u64);
    }
    let mut ifact = vec![F(0); n + 1];
    ifact[n] = F(1) / fact[n];
    for i in (1..n + 1).rev() {
        ifact[i - 1] = ifact[i] * F(i as u64);
    }

    let n_c_r = |n, k| {
        if k > n {
            F(0)
        } else {
            fact[n] * ifact[k] * ifact[n - k]
        }
    };

    let mut ans = F(0);
    for i in 0..n {
        if k >= 1 {
            let c = n_c_r(i, k - 1);
            ans += x[i] * c;
        }
    }
    for i in 0..n {
        if k >= 1 {
            let c = n_c_r(i, k - 1);
            ans -= x[n - i - 1] * c;
        }
    }
    echo!(ans);
}
*/

fn main() {
    let exe = "/tmp/bin83B70E45";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAA2PZBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAHwACAAAAAAAfAAIAAAAAAAAQAAAAAAAA
AQAAAAYAAAAAAAAAAAAAAAAQQgAAAAAAABBCAAAAAAAAAAAAAAAAAEh9AgAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAANo7qVxVUFgh
VAkNFgAAAABYZQQAWGUEAAACAACzAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANgBFADxvybRYFANhhBAAT
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";


Measured memory_bytes: 9084