// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#![allow(unused_imports)]

use proconio::{input, fastout};
use proconio::marker::*;

#[fastout]
fn main() {
    input! {
    n: usize,
    k: usize,
    a: [usize; n]
    }
    let mut dp:Vec<Vec<usize>> = vec![vec![0; k + 1]; n + 1];
    let p = 1_000_000_007;
    dp[0][0] = 1;
    for i in 0..n {
        let mut s = 0;
        for j in 0..=k {
            s += dp[i][j];
            if a[i] < j {
                if s >= dp[i][j- a[i] -1]{
                    s -= dp[i][j - a[i] - 1];
                } else {
                    s = s + p - dp[i][j - a[i] - 1];
                } }
            dp[i + 1][j] = s % p;
        }
    }
    let ans = dp[n][k];
    println!("{}", ans);
}
*/

fn main() {
    let exe = "/tmp/binB7233F6D";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAOgxBAAAAAAAAAAAAEAAOAAHAEAA
DwAOAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAQA4EAAAAAABADgQAAAAAAAAAIAAAAAAA
AQAAAAYAAACAGgQAAAAAAIAaZAAAAAAAgBpkAAAAAADYFgAAAAAAAMgyAAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
gBoEAAAAAACAGmQAAAAAAIAaZAAAAAAAAAAAAAAAAACIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAACMzAMA
AAAAAIzMQwAAAAAAjMxDAAAAAABcCQAAAAAAAFwJAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAgBoEAAAAAACAGmQA
AAAAAIAaZAAAAAAAgBUAAAAAAACAFQAAAAAAAAEAAAAAAAAABAAAABQAAAADAAAAR05VAPlb59n2A+hz
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";


Measured memory_bytes: 83804