// -*- coding:utf-8-unix -*- // #![feature(map_first_last)] #![allow(dead_code)] #![allow(unused_imports)] #![allow(unused_macros)] use std::collections::*; use std::convert::*; use std::convert::{From, Into}; use std::f64::consts::PI; use std::fmt::Debug; use std::fs::File; use std::io::prelude::*; use std::io::*; use std::marker::Copy; use std::mem::*; use std::ops::Bound::*; use std::ops::{Add, Mul, Neg, Sub}; use std::str; use std::vec; use std::{cmp, process::Output}; use std::{cmp::Ordering, env::consts::DLL_PREFIX}; const INF: i64 = 1223372036854775807; const UINF: usize = INF as usize; const FINF: f64 = 122337203685.0; const INF128: i128 = 1223372036854775807000000000000; const LINF: i64 = 2147483647; // const MOD: i64 = 1000000007; const MOD: i64 = 998244353; const T: bool = true; const F: bool = false; const MPI: f64 = 3.14159265358979323846264338327950288f64; // const MOD: i64 = INF; const UMOD: usize = MOD as usize; use std::cmp::*; use std::collections::*; use std::io::stdin; use std::io::stdout; use std::io::Write; macro_rules! p { ($x:expr) => { println!("{}", $x); }; } macro_rules! d { ($x:expr) => { println!("{:?}", $x); }; } macro_rules! dd { (x:expr) => { dbg!(x); }; } macro_rules! chmin { ($base:expr, $($cmps:expr),+ $(,)*) => {{ let cmp_min = min!($($cmps),+); if $base > cmp_min { $base = cmp_min; true } else { false } }}; } macro_rules! chmax { ($base:expr, $($cmps:expr),+ $(,)*) => {{ let cmp_max = max!($($cmps),+); if $base < cmp_max { $base = cmp_max; true } else { false } }}; } macro_rules! min { ($a:expr $(,)*) => {{ $a }}; ($a:expr, $b:expr $(,)*) => {{ std::cmp::min($a, $b) }}; ($a:expr, $($rest:expr),+ $(,)*) => {{ std::cmp::min($a, min!($($rest),+)) }}; } macro_rules! max { ($a:expr $(,)*) => {{ $a }}; ($a:expr, $b:expr $(,)*) => {{ std::cmp::max($a, $b) }}; ($a:expr, $($rest:expr),+ $(,)*) => {{ std::cmp::max($a, max!($($rest),+)) }}; } // use str::Chars; // use str::Chars; #[allow(dead_code)] fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } #[allow(dead_code)] fn readi() -> (i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); iter.next().unwrap().parse::().unwrap() } #[allow(dead_code)] fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() } #[allow(dead_code)] fn read_vec2(n: u32) -> Vec> { (0..n).map(|_| read_vec()).collect() } #[allow(dead_code)] fn readii() -> (i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readff() -> (f64, f64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readiii() -> (i64, i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuu() -> (usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readcc() -> (char, char) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuuu() -> (usize, usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } #[allow(dead_code)] fn readuuuu() -> (usize, usize, usize, usize) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn readiiii() -> (i64, i64, i64, i64) { let mut str = String::new(); let _ = stdin().read_line(&mut str).unwrap(); let mut iter = str.split_whitespace(); ( iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), iter.next().unwrap().parse::().unwrap(), ) } fn prime_table_min(n: usize) -> Vec { let mut is_prime = vec![true; n + 1]; let mut res = vec![0 as usize; n + 1]; for i in 0..=n { res[i] = i; } let mut i = 2 as usize; while i * i <= n { if !is_prime[i] { i += 1; continue; } // println!("{:?}", "call"); // is_prime[i] = i; let mut j = i + i as usize; while j <= n { is_prime[j] = false; res[j] = min(res[j], i); j += i; } i += 1; } return res; } fn prime_factorization_osak(x: usize, table: &Vec) -> BTreeMap { let mut res: BTreeMap = BTreeMap::new(); let mut xx = x; // let mut p: usize = 2; while xx > 1 { let mut p = table[xx]; let t = res.get_mut(&p); if t.is_none() { res.insert(p, 1); } else { *t.unwrap() += 1; } xx /= table[xx]; // println!("{:?} {:?}", p, res); // p += 1; } if xx != 1 { let t = res.get_mut(&xx); if t.is_none() { res.insert(xx, 1); } else { *t.unwrap() += 1; } } res } fn solve() { let n: usize = read(); let mut vec: Vec = read_vec(); let mut data = vec![0; n]; let pt = prime_table_min(1010100); for i in 0..n { let t = prime_factorization_osak(vec[i], &pt); let mut x = 0; for i in t { x += i.1; } data[i] = x; } let mut xored = 0; for i in 0..n { xored ^= data[i]; } if xored != 0 { println!("white"); } else { println!("black"); } return; } fn main() { solve(); }