// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use proconio::{fastout, input};

#[fastout]
fn main() {
    input! {
        (n, k): (usize, usize),
        aa: [usize; n]
    };

    let modu = 1000000007;

    // dp[i][j]: i番目までにj個配る場合の数
    let mut dp = vec![vec![0u64; k + 1]; n + 1];

    dp[0][0] = 1;

    for i in 1..=n {
        // cum[j]: dp[i-1][j-1]までの累積和
        let mut cum = vec![0u64; k + 2];
        for j in 1..=k + 1 {
            cum[j] = cum[j - 1] + dp[i - 1][j - 1];
            cum[j] %= modu;
        }

        for j in 0..=k {
            dp[i][j] =
                (cum[j + 1] + modu - cum[if j <= aa[i - 1] { 0 } else { j - aa[i - 1] }]) % modu;
        }
    }

    println!("{}", dp[n][k]);
}
*/

fn main() {
    let exe = "/tmp/binF6D77A78";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAgBFAAAAAAABAAAAAAAAAAOhBBAAAAAAAAAAAAEAAOAAJAEAA
DwAOAAEAAAAEAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAXAIAAAAAAABcAgAAAAAAAAAQAAAAAAAA
AQAAAAUAAAAAEAAAAAAAAAAQQAAAAAAAABBAAAAAAAA5ZgMAAAAAADlmAwAAAAAAABAAAAAAAAABAAAA
BAAAAACAAwAAAAAAAIBDAAAAAAAAgEMAAAAAAFinAAAAAAAAWKcAAAAAAAAAEAAAAAAAAAEAAAAGAAAA
YCoEAAAAAABgOkQAAAAAAGA6RAAAAAAA+BYAAAAAAADoMgAAAAAAAAAQAAAAAAAABAAAAAQAAAA4AgAA
AAAAADgCQAAAAAAAOAJAAAAAAAAkAAAAAAAAACQAAAAAAAAABAAAAAAAAAAHAAAABAAAAGAqBAAAAAAA
YDpEAAAAAABgOkQAAAAAAAAAAAAAAAAAiAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA7OUDAAAAAADs5UMA
AAAAAOzlQwAAAAAAVAkAAAAAAABUCQAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAGAqBAAAAAAAYDpEAAAAAABgOkQA
AAAAAKAVAAAAAAAAoBUAAAAAAAABAAAAAAAAAAQAAAAUAAAAAwAAAEdOVQBhg9PK+q/qYvTiTO7rz+pc
Pb38QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
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Measured memory_bytes: 84692