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

#[argio(output = AtCoder)]
fn main(n: usize, p: [(i32, i32, i32); n]) -> bool {
    if p[0].0 < p[0].1.abs() + p[0].2.abs() || p[0].0 % 2 != (p[0].1.abs() + p[0].2.abs()) % 2 {
        return false;
    }
    for i in 1..n {
        let dt = p[i].0 - p[i-1].0;
        let dx = (p[i].1 - p[i-1].1).abs();
        let dy = (p[i].2 - p[i-1].2).abs();
        if !( dx + dy <= dt) {
            return false;
        }
        if dt % 2 != (dx + dy) % 2 {
            return false;
        }
    }
    true
}
*/

fn main() {
    let exe = "/tmp/binAFE4A176";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAA6gFAAAAAAABAAAAAAAAAANghBAAAAAAAAAAAAEAAOAAGAEAA
DgANAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAQAMEAAAAAABAAwQAAAAAAAAAIAAAAAAA
AQAAAAYAAABgBwQAAAAAAGAHZAAAAAAAYAdkAAAAAAD4GQAAAAAAAOA1AAAAAAAAAAAgAAAAAAAHAAAA
BAAAAGAHBAAAAAAAYAdkAAAAAABgB2QAAAAAAAAAAAAAAAAAyAAAAAAAAAAgAAAAAAAAAFDldGQEAAAA
4MADAAAAAADgwEMAAAAAAODAQwAAAAAALAoAAAAAAAAsCgAAAAAAAAQAAAAAAAAAUeV0ZAYAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAABS5XRkBAAAAGAHBAAAAAAA
YAdkAAAAAABgB2QAAAAAAKAYAAAAAAAAoBgAAAAAAAABAAAAAAAAAFBYwwAAAAAAAAAAAAAAAADoY/QC
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AAAAAHo1QwAAAAAA+Q1DAAAAAACU9UIAAAAAAJBcQQAAAAAAgDhCAAAAAABmPUMAAAAAAEA+QwAAAAAA
cDNDAAAAAABINUMAAAAAAG89QwAAAAAAIkRDAAAAAACwYUEAAAAAAAADQwAAAAAAC0VDAAAAAACEEEMA
AAAAALT4QgAAAAAAdAxDAAAAAAAI9kIAAAAAAJABQAAAAAAAYz1DAAAAAABUR0MAAAAAAKs9QwAAAAAA
ADFDAAAAAADNEEMAAAAAAClHQwAAAAAAAAAAAAAAAABgCUMAAAAAAEM4QwAAAAAAXhBDAAAAAABgB2QA
AAAAAJ81QwAAAAAAsF5BAAAAAABgB2QAAAAAAC5EQwAAAAAAoEJDAAAAAACIRkMAAAAAACVEQwAAAAAA
xT5DAAAAAADgPkMAAAAAAPr1QgAAAAAA2TdDAAAAAADIPkMAAAAAAPAzQwAAAAAANw1DAAAAAACwC0MA
AAAAAKhFQwAAAAAAEAlDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAABAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAABgFUEAAAAAAKArZAAAAAAAoCNkAAAAAACgI2QAAAAAAGAgZAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAABQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAoU9DAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAxk9DAAAAAAC+T0MAAAAAAEAyZAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAD//////////wAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAgAAAAAAMlNDAAAAAABHQ0M6IChHTlUpIDkuMi4wAAAuc2hzdHJ0YWIALmluaXQALnRleHQA
LmZpbmkALnJvZGF0YQAuZWhfZnJhbWVfaGRyAC5laF9mcmFtZQAudGJzcwAuZGF0YS5yZWwucm8ALmdv
dAAuZGF0YQAuYnNzAC5jb21tZW50AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALAAAAAQAAAAYAAAAAAAAAkAFAAAAAAACQAQAA
AAAAAAMAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAEQAAAAEAAAAGAAAAAAAAAKABQAAAAAAA
oAEAAAAAAADGVgMAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABcAAAABAAAABgAAAAAAAABmWEMA
AAAAAGZYAwAAAAAAAwAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAdAAAAAQAAAAIAAAAAAAAA
gFhDAAAAAACAWAMAAAAAAF9oAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAJQAAAAEAAAACAAAA
AAAAAODAQwAAAAAA4MADAAAAAAAsCgAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAADMAAAABAABw
AgAAAAAAAAAQy0MAAAAAABDLAwAAAAAAMDgAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAA9AAAA
CAAAAAMEAAAAAAAAYAdkAAAAAABgBwQAAAAAAMgAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAA
QwAAAAEAAAADAAAAAAAAAGAHZAAAAAAAYAcEAAAAAADIFgAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAA
AAAAAFAAAAABAAAAAwAAAAAAAAAoHmQAAAAAACgeBAAAAAAAyAEAAAAAAAAAAAAAAAAAAAgAAAAAAAAA
CAAAAAAAAABVAAAAAQAAAAMAAAAAAAAAACBkAAAAAAAAIAQAAAAAAFgBAAAAAAAAAAAAAAAAAAAgAAAA
AAAAAAAAAAAAAAAAWwAAAAgAAAADAAAAAAAAAGAhZAAAAAAAWCEEAAAAAADgGwAAAAAAAAAAAAAAAAAA
IAAAAAAAAAAAAAAAAAAAAGAAAAABAAAAMAAAAAAAAAAAAAAAAAAAAFghBAAAAAAAEQAAAAAAAAAAAAAA
AAAAAAEAAAAAAAAAAQAAAAAAAAABAAAAAwAAAAAAAAAAAAAAAAAAAAAAAABpIQQAAAAAAGkAAAAAAAAA
AAAAAAAAAAABAAAAAAAAAAAAAAAAAAAA
";


Measured memory_bytes: 3440