// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use competitive::prelude::*;

fn main() {
    input! {
        n: usize,
        a: [i64; n],
        es: [(Usize1, Usize1); n-1],
    }

    let mut g = vec![vec![]; n];
    for (u, v) in es {
        g[u].push(v);
        g[v].push(u);
    }

    let mut ans = vec![0; n];
    lis_on_tree(0, None, &g, &a, &mut vec![i64::MAX; n], &mut ans);

    for a in ans {
        echo!(a);
    }
}

fn lis_on_tree(
    u: usize,
    prev: Option<usize>,
    g: &Vec<Vec<usize>>,
    a: &[i64],
    tbl: &mut [i64],
    ans: &mut [usize],
) {
    let i = lower_bound(&tbl, &a[u]);
    let t = tbl[i];
    tbl[i] = a[u];
    ans[u] = lower_bound(&tbl, &i64::MAX);

    for &v in g[u].iter() {
        if Some(v) == prev {
            continue;
        }
        lis_on_tree(v, Some(u), g, a, tbl, ans);
    }
    tbl[i] = t;
}
*/

fn main() {
    let exe = "/tmp/binD3FA81BA";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAA2OxBAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA2PQBAAAAAADY9AEAAAAAAAAAIAAAAAAA
AQAAAAYAAABIDQAAAAAAAEhNZAAAAAAASE1kAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAI6sxehVUFgh
DAgNFgAAAACoNQQAqDUEAMgBAACpAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANYANADxvybRYFAOgxBAAT
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";


Measured memory_bytes: 42972